TSTP Solution File: SET144-6 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET144-6 : 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.yQwv4RBacu true
% Computer : n008.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 16:13:01 EDT 2023
% Result : Unsatisfiable 91.24s 13.64s
% Output : Refutation 91.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET144-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yQwv4RBacu true
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sat Aug 26 12:44:18 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.16/0.34 % Running portfolio for 300 s
% 0.16/0.34 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.34 % Number of cores: 8
% 0.16/0.34 % Python version: Python 3.6.8
% 0.16/0.35 % Running in FO mode
% 0.19/0.61 % Total configuration time : 435
% 0.19/0.61 % Estimated wc time : 1092
% 0.19/0.61 % Estimated cpu time (7 cpus) : 156.0
% 0.19/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.19/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.19/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.19/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.19/0.72 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.19/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.19/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo17_bce.sh running for 50s
% 91.24/13.64 % Solved by fo/fo6_bce.sh.
% 91.24/13.64 % BCE start: 113
% 91.24/13.64 % BCE eliminated: 1
% 91.24/13.64 % PE start: 112
% 91.24/13.64 logic: eq
% 91.24/13.64 % PE eliminated: 19
% 91.24/13.64 % done 5701 iterations in 12.958s
% 91.24/13.64 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 91.24/13.64 % SZS output start Refutation
% 91.24/13.64 thf(member_type, type, member: $i > $i > $o).
% 91.24/13.64 thf(x_type, type, x: $i).
% 91.24/13.64 thf(intersection_type, type, intersection: $i > $i > $i).
% 91.24/13.64 thf(subclass_type, type, subclass: $i > $i > $o).
% 91.24/13.64 thf(y_type, type, y: $i).
% 91.24/13.64 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 91.24/13.64 thf(prove_commutativity_of_intersection_1, conjecture,
% 91.24/13.64 (( intersection @ x @ y ) = ( intersection @ y @ x ))).
% 91.24/13.64 thf(zf_stmt_0, negated_conjecture,
% 91.24/13.64 (( intersection @ x @ y ) != ( intersection @ y @ x )),
% 91.24/13.64 inference('cnf.neg', [status(esa)], [prove_commutativity_of_intersection_1])).
% 91.24/13.64 thf(zip_derived_cl112, plain,
% 91.24/13.64 (((intersection @ x @ y) != (intersection @ y @ x))),
% 91.24/13.64 inference('cnf', [status(esa)], [zf_stmt_0])).
% 91.24/13.64 thf(not_subclass_members1, axiom,
% 91.24/13.64 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 91.24/13.64 thf(zip_derived_cl1, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 91.24/13.64 | (subclass @ X0 @ X1))),
% 91.24/13.64 inference('cnf', [status(esa)], [not_subclass_members1])).
% 91.24/13.64 thf(intersection2, axiom,
% 91.24/13.64 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ Y ))).
% 91.24/13.64 thf(zip_derived_cl21, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 91.24/13.64 inference('cnf', [status(esa)], [intersection2])).
% 91.24/13.64 thf(zip_derived_cl577, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 91.24/13.64 | (member @
% 91.24/13.64 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X0))),
% 91.24/13.64 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl21])).
% 91.24/13.64 thf(zip_derived_cl1, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 91.24/13.64 | (subclass @ X0 @ X1))),
% 91.24/13.64 inference('cnf', [status(esa)], [not_subclass_members1])).
% 91.24/13.64 thf(intersection1, axiom,
% 91.24/13.64 (( ~( member @ Z @ ( intersection @ X @ Y ) ) ) | ( member @ Z @ X ))).
% 91.24/13.64 thf(zip_derived_cl20, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 91.24/13.64 inference('cnf', [status(esa)], [intersection1])).
% 91.24/13.64 thf(zip_derived_cl550, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 ( (subclass @ (intersection @ X1 @ X0) @ X2)
% 91.24/13.64 | (member @
% 91.24/13.64 (not_subclass_element @ (intersection @ X1 @ X0) @ X2) @ X1))),
% 91.24/13.64 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl20])).
% 91.24/13.64 thf(intersection3, axiom,
% 91.24/13.64 (( ~( member @ Z @ X ) ) | ( ~( member @ Z @ Y ) ) |
% 91.24/13.64 ( member @ Z @ ( intersection @ X @ Y ) ))).
% 91.24/13.64 thf(zip_derived_cl22, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 (~ (member @ X0 @ X1)
% 91.24/13.64 | ~ (member @ X0 @ X2)
% 91.24/13.64 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 91.24/13.64 inference('cnf', [status(esa)], [intersection3])).
% 91.24/13.64 thf(not_subclass_members2, axiom,
% 91.24/13.64 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 91.24/13.64 ( subclass @ X @ Y ))).
% 91.24/13.64 thf(zip_derived_cl2, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 91.24/13.64 | (subclass @ X0 @ X1))),
% 91.24/13.64 inference('cnf', [status(esa)], [not_subclass_members2])).
% 91.24/13.64 thf(zip_derived_cl604, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 (~ (member @ (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @
% 91.24/13.64 X0)
% 91.24/13.64 | ~ (member @
% 91.24/13.64 (not_subclass_element @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 91.24/13.64 | (subclass @ X2 @ (intersection @ X1 @ X0)))),
% 91.24/13.64 inference('s_sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl2])).
% 91.24/13.64 thf(zip_derived_cl2149, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 ( (subclass @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0))
% 91.24/13.64 | ~ (member @
% 91.24/13.64 (not_subclass_element @ (intersection @ X0 @ X2) @
% 91.24/13.64 (intersection @ X1 @ X0)) @
% 91.24/13.64 X1)
% 91.24/13.64 | (subclass @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0)))),
% 91.24/13.64 inference('s_sup-', [status(thm)], [zip_derived_cl550, zip_derived_cl604])).
% 91.24/13.64 thf(zip_derived_cl2171, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i, X2 : $i]:
% 91.24/13.64 (~ (member @
% 91.24/13.64 (not_subclass_element @ (intersection @ X0 @ X2) @
% 91.24/13.64 (intersection @ X1 @ X0)) @
% 91.24/13.64 X1)
% 91.24/13.64 | (subclass @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0)))),
% 91.24/13.64 inference('simplify', [status(thm)], [zip_derived_cl2149])).
% 91.24/13.64 thf(zip_derived_cl55614, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 ( (subclass @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))
% 91.24/13.64 | (subclass @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1)))),
% 91.24/13.64 inference('s_sup-', [status(thm)],
% 91.24/13.64 [zip_derived_cl577, zip_derived_cl2171])).
% 91.24/13.64 thf(zip_derived_cl55832, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 (subclass @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))),
% 91.24/13.64 inference('simplify', [status(thm)], [zip_derived_cl55614])).
% 91.24/13.64 thf(subclass_implies_equal, axiom,
% 91.24/13.64 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 91.24/13.64 thf(zip_derived_cl6, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 91.24/13.64 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 91.24/13.64 thf(zip_derived_cl85776, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 (~ (subclass @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))
% 91.24/13.64 | ((intersection @ X0 @ X1) = (intersection @ X1 @ X0)))),
% 91.24/13.64 inference('s_sup-', [status(thm)], [zip_derived_cl55832, zip_derived_cl6])).
% 91.24/13.64 thf(zip_derived_cl55832, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 (subclass @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))),
% 91.24/13.64 inference('simplify', [status(thm)], [zip_derived_cl55614])).
% 91.24/13.64 thf(zip_derived_cl86067, plain,
% 91.24/13.64 (![X0 : $i, X1 : $i]:
% 91.24/13.64 ((intersection @ X0 @ X1) = (intersection @ X1 @ X0))),
% 91.24/13.64 inference('demod', [status(thm)],
% 91.24/13.64 [zip_derived_cl85776, zip_derived_cl55832])).
% 91.24/13.64 thf(zip_derived_cl86149, plain,
% 91.24/13.64 (((intersection @ x @ y) != (intersection @ x @ y))),
% 91.24/13.64 inference('demod', [status(thm)],
% 91.24/13.64 [zip_derived_cl112, zip_derived_cl86067])).
% 91.24/13.64 thf(zip_derived_cl86150, plain, ($false),
% 91.24/13.64 inference('simplify', [status(thm)], [zip_derived_cl86149])).
% 91.24/13.64
% 91.24/13.64 % SZS output end Refutation
% 91.24/13.64
% 91.24/13.64
% 91.24/13.64 % Terminating...
% 91.88/13.75 % Runner terminated.
% 91.90/13.77 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------