TSTP Solution File: SET123-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3FKtyflmhK true
% Computer : n022.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 16:12:55 EDT 2023
% Result : Unsatisfiable 1.28s 0.81s
% Output : Refutation 1.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET123-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3FKtyflmhK true
% 0.13/0.35 % Computer : n022.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 : Sat Aug 26 13:26:40 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.20/0.36 % Running in FO mode
% 0.21/0.65 % Total configuration time : 435
% 0.21/0.65 % Estimated wc time : 1092
% 0.21/0.65 % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.21/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.28/0.81 % Solved by fo/fo6_bce.sh.
% 1.28/0.81 % BCE start: 95
% 1.28/0.81 % BCE eliminated: 0
% 1.28/0.81 % PE start: 95
% 1.28/0.81 logic: eq
% 1.28/0.81 % PE eliminated: 16
% 1.28/0.81 % done 88 iterations in 0.053s
% 1.28/0.81 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.28/0.81 % SZS output start Refutation
% 1.28/0.81 thf(universal_class_type, type, universal_class: $i).
% 1.28/0.81 thf(union_type, type, union: $i > $i > $i).
% 1.28/0.81 thf(member_type, type, member: $i > $i > $o).
% 1.28/0.81 thf(unordered_pair_type, type, unordered_pair: $i > $i > $i).
% 1.28/0.81 thf(complement_type, type, complement: $i > $i).
% 1.28/0.81 thf(set_builder_type, type, set_builder: $i > $i > $i).
% 1.28/0.81 thf(x_type, type, x: $i).
% 1.28/0.81 thf(singleton_type, type, singleton: $i > $i).
% 1.28/0.81 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.28/0.81 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.28/0.81 thf(z_type, type, z: $i).
% 1.28/0.81 thf(y_type, type, y: $i).
% 1.28/0.81 thf(complement2, axiom,
% 1.28/0.81 (( ~( member @ Z @ universal_class ) ) |
% 1.28/0.81 ( member @ Z @ ( complement @ X ) ) | ( member @ Z @ X ))).
% 1.28/0.81 thf(zip_derived_cl24, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (~ (member @ X0 @ universal_class)
% 1.28/0.81 | (member @ X0 @ (complement @ X1))
% 1.28/0.81 | (member @ X0 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [complement2])).
% 1.28/0.81 thf(zip_derived_cl24, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (~ (member @ X0 @ universal_class)
% 1.28/0.81 | (member @ X0 @ (complement @ X1))
% 1.28/0.81 | (member @ X0 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [complement2])).
% 1.28/0.81 thf(intersection3, axiom,
% 1.28/0.81 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 1.28/0.81 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 1.28/0.81 thf(zip_derived_cl22, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.81 (~ (member @ X0 @ X1)
% 1.28/0.81 | ~ (member @ X0 @ X2)
% 1.28/0.81 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 1.28/0.81 inference('cnf', [status(esa)], [intersection3])).
% 1.28/0.81 thf(prove_set_builder_alternate_defn1_1, conjecture,
% 1.28/0.81 (~( member @ x @ ( set_builder @ y @ z ) ))).
% 1.28/0.81 thf(zf_stmt_0, negated_conjecture, (member @ x @ ( set_builder @ y @ z )),
% 1.28/0.81 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn1_1])).
% 1.28/0.81 thf(zip_derived_cl92, plain, ( (member @ x @ (set_builder @ y @ z))),
% 1.28/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.81 thf(definition_of_set_builder, axiom,
% 1.28/0.81 (( union @ ( singleton @ X ) @ Y ) = ( set_builder @ X @ Y ))).
% 1.28/0.81 thf(zip_derived_cl91, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 ((union @ (singleton @ X0) @ X1) = (set_builder @ X0 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [definition_of_set_builder])).
% 1.28/0.81 thf(union, axiom,
% 1.28/0.81 (( complement @ ( intersection @ ( complement @ X ) @ ( complement @ Y ) ) ) =
% 1.28/0.81 ( union @ X @ Y ))).
% 1.28/0.81 thf(zip_derived_cl25, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 ((complement @ (intersection @ (complement @ X0) @ (complement @ X1)))
% 1.28/0.81 = (union @ X0 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [union])).
% 1.28/0.81 thf(complement1, axiom,
% 1.28/0.81 (( ~( member @ Z @ ( complement @ X ) ) ) | ( ~( member @ Z @ X ) ))).
% 1.28/0.81 thf(zip_derived_cl23, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (~ (member @ X0 @ (complement @ X1)) | ~ (member @ X0 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [complement1])).
% 1.28/0.81 thf(zip_derived_cl533, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.81 (~ (member @ X2 @ (union @ X1 @ X0))
% 1.28/0.81 | ~ (member @ X2 @
% 1.28/0.81 (intersection @ (complement @ X1) @ (complement @ X0))))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl25, zip_derived_cl23])).
% 1.28/0.81 thf(zip_derived_cl546, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.81 (~ (member @ X2 @ (set_builder @ X1 @ X0))
% 1.28/0.81 | ~ (member @ X2 @
% 1.28/0.81 (intersection @ (complement @ (singleton @ X1)) @
% 1.28/0.81 (complement @ X0))))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl91, zip_derived_cl533])).
% 1.28/0.81 thf(zip_derived_cl578, plain,
% 1.28/0.81 (~ (member @ x @
% 1.28/0.81 (intersection @ (complement @ (singleton @ y)) @ (complement @ z)))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl546])).
% 1.28/0.81 thf(zip_derived_cl580, plain,
% 1.28/0.81 ((~ (member @ x @ (complement @ z))
% 1.28/0.81 | ~ (member @ x @ (complement @ (singleton @ y))))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl578])).
% 1.28/0.81 thf(zip_derived_cl582, plain,
% 1.28/0.81 (( (member @ x @ z)
% 1.28/0.81 | ~ (member @ x @ universal_class)
% 1.28/0.81 | ~ (member @ x @ (complement @ (singleton @ y))))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl580])).
% 1.28/0.81 thf(prove_set_builder_alternate_defn1_3, conjecture, (member @ x @ z)).
% 1.28/0.81 thf(zf_stmt_1, negated_conjecture, (~( member @ x @ z )),
% 1.28/0.81 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn1_3])).
% 1.28/0.81 thf(zip_derived_cl94, plain, (~ (member @ x @ z)),
% 1.28/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.28/0.81 thf(zip_derived_cl92, plain, ( (member @ x @ (set_builder @ y @ z))),
% 1.28/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.28/0.81 thf(class_elements_are_sets, axiom, (subclass @ X @ universal_class)).
% 1.28/0.81 thf(zip_derived_cl3, plain, (![X0 : $i]: (subclass @ X0 @ universal_class)),
% 1.28/0.81 inference('cnf', [status(esa)], [class_elements_are_sets])).
% 1.28/0.81 thf(subclass_members, axiom,
% 1.28/0.81 (( ~( subclass @ X @ Y ) ) | ( ~( member @ U @ X ) ) | ( member @ U @ Y ))).
% 1.28/0.81 thf(zip_derived_cl0, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.81 (~ (subclass @ X0 @ X1) | ~ (member @ X2 @ X0) | (member @ X2 @ X1))),
% 1.28/0.81 inference('cnf', [status(esa)], [subclass_members])).
% 1.28/0.81 thf(zip_derived_cl427, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (~ (member @ X1 @ X0) | (member @ X1 @ universal_class))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl3, zip_derived_cl0])).
% 1.28/0.81 thf(zip_derived_cl431, plain, ( (member @ x @ universal_class)),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl427])).
% 1.28/0.81 thf(zip_derived_cl583, plain,
% 1.28/0.81 (~ (member @ x @ (complement @ (singleton @ y)))),
% 1.28/0.81 inference('demod', [status(thm)],
% 1.28/0.81 [zip_derived_cl582, zip_derived_cl94, zip_derived_cl431])).
% 1.28/0.81 thf(zip_derived_cl584, plain,
% 1.28/0.81 (( (member @ x @ (singleton @ y)) | ~ (member @ x @ universal_class))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl24, zip_derived_cl583])).
% 1.28/0.81 thf(zip_derived_cl431, plain, ( (member @ x @ universal_class)),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl92, zip_derived_cl427])).
% 1.28/0.81 thf(zip_derived_cl586, plain, ( (member @ x @ (singleton @ y))),
% 1.28/0.81 inference('demod', [status(thm)], [zip_derived_cl584, zip_derived_cl431])).
% 1.28/0.81 thf(singleton_set, axiom, (( unordered_pair @ X @ X ) = ( singleton @ X ))).
% 1.28/0.81 thf(zip_derived_cl11, plain,
% 1.28/0.81 (![X0 : $i]: ((unordered_pair @ X0 @ X0) = (singleton @ X0))),
% 1.28/0.81 inference('cnf', [status(esa)], [singleton_set])).
% 1.28/0.81 thf(unordered_pair_member, axiom,
% 1.28/0.81 (( ~( member @ U @ ( unordered_pair @ X @ Y ) ) ) | ( ( U ) = ( X ) ) |
% 1.28/0.81 ( ( U ) = ( Y ) ))).
% 1.28/0.81 thf(zip_derived_cl7, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.28/0.81 (~ (member @ X0 @ (unordered_pair @ X1 @ X2))
% 1.28/0.81 | ((X0) = (X1))
% 1.28/0.81 | ((X0) = (X2)))),
% 1.28/0.81 inference('cnf', [status(esa)], [unordered_pair_member])).
% 1.28/0.81 thf(zip_derived_cl441, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (~ (member @ X1 @ (singleton @ X0)) | ((X1) = (X0)) | ((X1) = (X0)))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl11, zip_derived_cl7])).
% 1.28/0.81 thf(zip_derived_cl442, plain,
% 1.28/0.81 (![X0 : $i, X1 : $i]:
% 1.28/0.81 (((X1) = (X0)) | ~ (member @ X1 @ (singleton @ X0)))),
% 1.28/0.81 inference('simplify', [status(thm)], [zip_derived_cl441])).
% 1.28/0.81 thf(zip_derived_cl588, plain, (((x) = (y))),
% 1.28/0.81 inference('s_sup-', [status(thm)], [zip_derived_cl586, zip_derived_cl442])).
% 1.28/0.81 thf(prove_set_builder_alternate_defn1_2, conjecture, (( x ) = ( y ))).
% 1.28/0.81 thf(zf_stmt_2, negated_conjecture, (( x ) != ( y )),
% 1.28/0.81 inference('cnf.neg', [status(esa)], [prove_set_builder_alternate_defn1_2])).
% 1.28/0.81 thf(zip_derived_cl93, plain, (((x) != (y))),
% 1.28/0.81 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.28/0.81 thf(zip_derived_cl591, plain, ($false),
% 1.28/0.81 inference('simplify_reflect-', [status(thm)],
% 1.28/0.81 [zip_derived_cl588, zip_derived_cl93])).
% 1.28/0.81
% 1.28/0.81 % SZS output end Refutation
% 1.28/0.81
% 1.28/0.81
% 1.28/0.81 % Terminating...
% 1.48/0.87 % Runner terminated.
% 1.48/0.88 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------