TSTP Solution File: SET553-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET553-6 : 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.ROhcW9cfYe 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 16:14:35 EDT 2023
% Result : Unsatisfiable 1.27s 1.18s
% Output : Refutation 1.27s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.17 % Problem : SET553-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.17 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ROhcW9cfYe true
% 0.13/0.37 % Computer : n022.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat Aug 26 09:47:55 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.13/0.37 % Running portfolio for 300 s
% 0.13/0.37 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37 % Number of cores: 8
% 0.13/0.37 % Python version: Python 3.6.8
% 0.13/0.38 % Running in FO mode
% 0.19/0.63 % Total configuration time : 435
% 0.19/0.63 % Estimated wc time : 1092
% 0.19/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.79 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.80 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.81 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.01/0.83 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.85 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.21/1.03 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 1.27/1.18 % Solved by fo/fo6_bce.sh.
% 1.27/1.18 % BCE start: 113
% 1.27/1.18 % BCE eliminated: 1
% 1.27/1.18 % PE start: 112
% 1.27/1.18 logic: eq
% 1.27/1.18 % PE eliminated: 19
% 1.27/1.18 % done 289 iterations in 0.309s
% 1.27/1.18 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.27/1.18 % SZS output start Refutation
% 1.27/1.18 thf(domain_of_type, type, domain_of: $i > $i).
% 1.27/1.18 thf(member_type, type, member: $i > $i > $o).
% 1.27/1.18 thf(x_type, type, x: $i).
% 1.27/1.18 thf(complement_type, type, complement: $i > $i).
% 1.27/1.18 thf(identity_relation_type, type, identity_relation: $i).
% 1.27/1.18 thf(compose_type, type, compose: $i > $i > $i).
% 1.27/1.18 thf(cantor_type, type, cantor: $i > $i).
% 1.27/1.18 thf(intersection_type, type, intersection: $i > $i > $i).
% 1.27/1.18 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.27/1.18 thf(element_relation_type, type, element_relation: $i).
% 1.27/1.18 thf(inverse_type, type, inverse: $i > $i).
% 1.27/1.18 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.27/1.18 thf(diagonalise_type, type, diagonalise: $i > $i).
% 1.27/1.18 thf(prove_cantor_class_alternate_defn_1, conjecture,
% 1.27/1.18 (subclass @ ( cantor @ x ) @ ( domain_of @ x ))).
% 1.27/1.18 thf(zf_stmt_0, negated_conjecture,
% 1.27/1.18 (~( subclass @ ( cantor @ x ) @ ( domain_of @ x ) )),
% 1.27/1.18 inference('cnf.neg', [status(esa)], [prove_cantor_class_alternate_defn_1])).
% 1.27/1.18 thf(zip_derived_cl112, plain,
% 1.27/1.18 (~ (subclass @ (cantor @ x) @ (domain_of @ x))),
% 1.27/1.18 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.27/1.18 thf(cantor_class, axiom,
% 1.27/1.18 (( intersection @
% 1.27/1.18 ( domain_of @ X ) @
% 1.27/1.18 ( diagonalise @ ( compose @ ( inverse @ element_relation ) @ X ) ) ) =
% 1.27/1.18 ( cantor @ X ))).
% 1.27/1.18 thf(zip_derived_cl76, plain,
% 1.27/1.18 (![X0 : $i]:
% 1.27/1.18 ((intersection @ (domain_of @ X0) @
% 1.27/1.18 (diagonalise @ (compose @ (inverse @ element_relation) @ X0)))
% 1.27/1.18 = (cantor @ X0))),
% 1.27/1.18 inference('cnf', [status(esa)], [cantor_class])).
% 1.27/1.18 thf(diagonalisation, axiom,
% 1.27/1.18 (( complement @ ( domain_of @ ( intersection @ Xr @ identity_relation ) ) ) =
% 1.27/1.18 ( diagonalise @ Xr ))).
% 1.27/1.18 thf(zip_derived_cl75, plain,
% 1.27/1.18 (![X0 : $i]:
% 1.27/1.18 ((complement @ (domain_of @ (intersection @ X0 @ identity_relation)))
% 1.27/1.18 = (diagonalise @ X0))),
% 1.27/1.18 inference('cnf', [status(esa)], [diagonalisation])).
% 1.27/1.18 thf(zip_derived_cl823, plain,
% 1.27/1.18 (![X0 : $i]:
% 1.27/1.18 ((intersection @ (domain_of @ X0) @
% 1.27/1.18 (complement @
% 1.27/1.18 (domain_of @
% 1.27/1.18 (intersection @ (compose @ (inverse @ element_relation) @ X0) @
% 1.27/1.18 identity_relation))))
% 1.27/1.18 = (cantor @ X0))),
% 1.27/1.18 inference('demod', [status(thm)], [zip_derived_cl76, zip_derived_cl75])).
% 1.27/1.18 thf(not_subclass_members1, axiom,
% 1.27/1.18 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.27/1.18 thf(zip_derived_cl1, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i]:
% 1.27/1.18 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.27/1.18 | (subclass @ X0 @ X1))),
% 1.27/1.18 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.27/1.18 thf(intersection1, axiom,
% 1.27/1.18 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 1.27/1.18 thf(zip_derived_cl20, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/1.18 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 1.27/1.18 inference('cnf', [status(esa)], [intersection1])).
% 1.27/1.18 thf(zip_derived_cl557, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.27/1.18 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 1.27/1.18 | (member @
% 1.27/1.18 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 1.27/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 1.27/1.18 thf(not_subclass_members2, axiom,
% 1.27/1.18 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 1.27/1.18 ( subclass @ X @ Y ))).
% 1.27/1.18 thf(zip_derived_cl2, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i]:
% 1.27/1.18 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 1.27/1.18 | (subclass @ X0 @ X1))),
% 1.27/1.18 inference('cnf', [status(esa)], [not_subclass_members2])).
% 1.27/1.18 thf(zip_derived_cl1503, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i]:
% 1.27/1.18 ( (subclass @ (intersection @ X0 @ X1) @ X0)
% 1.27/1.18 | (subclass @ (intersection @ X0 @ X1) @ X0))),
% 1.27/1.18 inference('s_sup-', [status(thm)], [zip_derived_cl557, zip_derived_cl2])).
% 1.27/1.18 thf(zip_derived_cl1521, plain,
% 1.27/1.18 (![X0 : $i, X1 : $i]: (subclass @ (intersection @ X0 @ X1) @ X0)),
% 1.27/1.18 inference('simplify', [status(thm)], [zip_derived_cl1503])).
% 1.27/1.18 thf(zip_derived_cl1540, plain,
% 1.27/1.18 (![X0 : $i]: (subclass @ (cantor @ X0) @ (domain_of @ X0))),
% 1.27/1.18 inference('s_sup+', [status(thm)],
% 1.27/1.18 [zip_derived_cl823, zip_derived_cl1521])).
% 1.27/1.18 thf(zip_derived_cl1543, plain, ($false),
% 1.27/1.18 inference('demod', [status(thm)], [zip_derived_cl112, zip_derived_cl1540])).
% 1.27/1.18
% 1.27/1.18 % SZS output end Refutation
% 1.27/1.18
% 1.27/1.18
% 1.27/1.18 % Terminating...
% 1.56/1.31 % Runner terminated.
% 1.56/1.33 % Zipperpin 1.5 exiting
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