TSTP Solution File: SET230-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET230-6 : 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.PdhPrpwONq true
% Computer : n032.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 16:13:30 EDT 2023
% Result : Unsatisfiable 0.15s 0.72s
% Output : Refutation 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET230-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PdhPrpwONq true
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 09:27:43 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % Running portfolio for 300 s
% 0.10/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Number of cores: 8
% 0.10/0.30 % Python version: Python 3.6.8
% 0.10/0.31 % Running in FO mode
% 0.15/0.50 % Total configuration time : 435
% 0.15/0.50 % Estimated wc time : 1092
% 0.15/0.50 % Estimated cpu time (7 cpus) : 156.0
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.15/0.57 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.15/0.59 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.15/0.63 % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 0.15/0.72 % Solved by fo/fo1_lcnf.sh.
% 0.15/0.72 % done 153 iterations in 0.078s
% 0.15/0.72 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.15/0.72 % SZS output start Refutation
% 0.15/0.72 thf(member_type, type, member: $i > $i > $o).
% 0.15/0.72 thf(u_type, type, u: $i).
% 0.15/0.72 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.15/0.72 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.15/0.72 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.15/0.72 thf(w_type, type, w: $i).
% 0.15/0.72 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.15/0.72 thf(not_subclass_members1, axiom,
% 0.15/0.72 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.15/0.72 thf(zip_derived_cl1, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (((member @ (not_subclass_element @ X0 @ X1) @ X0) | (subclass @
% 0.15/0.72 X0 @ X1)))),
% 0.15/0.72 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.15/0.72 thf(zip_derived_cl123, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.15/0.72 | (subclass @ X0 @ X1))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 0.15/0.72 thf(cartesian_product3, axiom,
% 0.15/0.72 (( ~( member @ U @ X ) ) | ( ~( member @ V @ Y ) ) |
% 0.15/0.72 ( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ))).
% 0.15/0.72 thf(zip_derived_cl15, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (((((~) @ (member @ X0 @ X1))) | (((~) @ (member @ X2 @ X3))) |
% 0.15/0.72 (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3))))),
% 0.15/0.72 inference('cnf', [status(esa)], [cartesian_product3])).
% 0.15/0.72 thf(zip_derived_cl401, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (~ (member @ X0 @ X1)
% 0.15/0.72 | ~ (member @ X2 @ X3)
% 0.15/0.72 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl15])).
% 0.15/0.72 thf(prove_corollary_to_cross_product_cancellation_1, conjecture,
% 0.15/0.72 (( cross_product @ u @ u ) != ( cross_product @ w @ w ))).
% 0.15/0.72 thf(zf_stmt_0, negated_conjecture,
% 0.15/0.72 (( cross_product @ u @ u ) = ( cross_product @ w @ w )),
% 0.15/0.72 inference('cnf.neg', [status(esa)],
% 0.15/0.72 [prove_corollary_to_cross_product_cancellation_1])).
% 0.15/0.72 thf(zip_derived_cl112, plain,
% 0.15/0.72 (((cross_product @ u @ u) = (cross_product @ w @ w))),
% 0.15/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.72 thf(cartesian_product1, axiom,
% 0.15/0.72 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 0.15/0.72 ( member @ U @ X ))).
% 0.15/0.72 thf(zip_derived_cl13, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (((((~) @ (member @ (ordered_pair @ X0 @ X1) @
% 0.15/0.72 (cross_product @ X2 @ X3)))) |
% 0.15/0.72 (member @ X0 @ X2)))),
% 0.15/0.72 inference('cnf', [status(esa)], [cartesian_product1])).
% 0.15/0.72 thf(zip_derived_cl354, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.15/0.72 | (member @ X0 @ X2))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 0.15/0.72 thf(zip_derived_cl356, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ u @ u))
% 0.15/0.72 | (member @ X1 @ w))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl112, zip_derived_cl354])).
% 0.15/0.72 thf(zip_derived_cl405, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ X0 @ u) | ~ (member @ X1 @ u) | (member @ X1 @ w))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl401, zip_derived_cl356])).
% 0.15/0.72 thf(zip_derived_cl415, plain,
% 0.15/0.72 (![X0 : $i]: ( (member @ X0 @ w) | ~ (member @ X0 @ u))),
% 0.15/0.72 inference('condensation', [status(thm)], [zip_derived_cl405])).
% 0.15/0.72 thf(not_subclass_members2, axiom,
% 0.15/0.72 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.15/0.72 ( subclass @ X @ Y ))).
% 0.15/0.72 thf(zip_derived_cl2, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (((((~) @ (member @ (not_subclass_element @ X0 @ X1) @ X1))) |
% 0.15/0.72 (subclass @ X0 @ X1)))),
% 0.15/0.72 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.15/0.72 thf(zip_derived_cl138, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.15/0.72 | (subclass @ X0 @ X1))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 0.15/0.72 thf(zip_derived_cl417, plain,
% 0.15/0.72 (![X0 : $i]:
% 0.15/0.72 (~ (member @ (not_subclass_element @ X0 @ w) @ u)
% 0.15/0.72 | (subclass @ X0 @ w))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl415, zip_derived_cl138])).
% 0.15/0.72 thf(zip_derived_cl421, plain, (( (subclass @ u @ w) | (subclass @ u @ w))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl123, zip_derived_cl417])).
% 0.15/0.72 thf(zip_derived_cl422, plain, ( (subclass @ u @ w)),
% 0.15/0.72 inference('simplify', [status(thm)], [zip_derived_cl421])).
% 0.15/0.72 thf(subclass_implies_equal, axiom,
% 0.15/0.72 (( ~( subclass @ X @ Y ) ) | ( ~( subclass @ Y @ X ) ) | ( ( X ) = ( Y ) ))).
% 0.15/0.72 thf(zip_derived_cl6, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (((((~) @ (subclass @ X0 @ X1))) | (((~) @ (subclass @ X1 @ X0))) |
% 0.15/0.72 (((X0) = (X1)))))),
% 0.15/0.72 inference('cnf', [status(esa)], [subclass_implies_equal])).
% 0.15/0.72 thf(zip_derived_cl155, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | (((X0) = (X1))))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl6])).
% 0.15/0.72 thf(zip_derived_cl156, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (subclass @ X0 @ X1) | ~ (subclass @ X1 @ X0) | ((X0) = (X1)))),
% 0.15/0.72 inference('simplify nested equalities', [status(thm)],
% 0.15/0.72 [zip_derived_cl155])).
% 0.15/0.72 thf(zip_derived_cl425, plain, ((~ (subclass @ w @ u) | ((u) = (w)))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl422, zip_derived_cl156])).
% 0.15/0.72 thf(prove_corollary_to_cross_product_cancellation_2, conjecture,
% 0.15/0.72 (( u ) = ( w ))).
% 0.15/0.72 thf(zf_stmt_1, negated_conjecture, (( u ) != ( w )),
% 0.15/0.72 inference('cnf.neg', [status(esa)],
% 0.15/0.72 [prove_corollary_to_cross_product_cancellation_2])).
% 0.15/0.72 thf(zip_derived_cl113, plain, (((u) != (w))),
% 0.15/0.72 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.15/0.72 thf(zip_derived_cl426, plain, (~ (subclass @ w @ u)),
% 0.15/0.72 inference('simplify_reflect-', [status(thm)],
% 0.15/0.72 [zip_derived_cl425, zip_derived_cl113])).
% 0.15/0.72 thf(zip_derived_cl112, plain,
% 0.15/0.72 (((cross_product @ u @ u) = (cross_product @ w @ w))),
% 0.15/0.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.15/0.72 thf(zip_derived_cl401, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (~ (member @ X0 @ X1)
% 0.15/0.72 | ~ (member @ X2 @ X3)
% 0.15/0.72 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3)))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl15])).
% 0.15/0.72 thf(zip_derived_cl408, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ X1 @ w)
% 0.15/0.72 | ~ (member @ X0 @ w)
% 0.15/0.72 | (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ u @ u)))),
% 0.15/0.72 inference('s_sup+', [status(thm)], [zip_derived_cl112, zip_derived_cl401])).
% 0.15/0.72 thf(zip_derived_cl354, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.15/0.72 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 0.15/0.72 | (member @ X0 @ X2))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl13])).
% 0.15/0.72 thf(zip_derived_cl455, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ X0 @ w) | ~ (member @ X1 @ w) | (member @ X1 @ u))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl408, zip_derived_cl354])).
% 0.15/0.72 thf(zip_derived_cl472, plain,
% 0.15/0.72 (![X0 : $i]: ( (member @ X0 @ u) | ~ (member @ X0 @ w))),
% 0.15/0.72 inference('condensation', [status(thm)], [zip_derived_cl455])).
% 0.15/0.72 thf(zip_derived_cl123, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.15/0.72 | (subclass @ X0 @ X1))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl1])).
% 0.15/0.72 thf(zip_derived_cl474, plain,
% 0.15/0.72 (![X0 : $i]:
% 0.15/0.72 ( (member @ (not_subclass_element @ w @ X0) @ u)
% 0.15/0.72 | (subclass @ w @ X0))),
% 0.15/0.72 inference('s_sup+', [status(thm)], [zip_derived_cl472, zip_derived_cl123])).
% 0.15/0.72 thf(zip_derived_cl138, plain,
% 0.15/0.72 (![X0 : $i, X1 : $i]:
% 0.15/0.72 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.15/0.72 | (subclass @ X0 @ X1))),
% 0.15/0.72 inference('lazy_cnf_or', [status(thm)], [zip_derived_cl2])).
% 0.15/0.72 thf(zip_derived_cl503, plain, (( (subclass @ w @ u) | (subclass @ w @ u))),
% 0.15/0.72 inference('s_sup-', [status(thm)], [zip_derived_cl474, zip_derived_cl138])).
% 0.15/0.72 thf(zip_derived_cl505, plain, ( (subclass @ w @ u)),
% 0.15/0.72 inference('simplify', [status(thm)], [zip_derived_cl503])).
% 0.15/0.72 thf(zip_derived_cl507, plain, ($false),
% 0.15/0.72 inference('demod', [status(thm)], [zip_derived_cl426, zip_derived_cl505])).
% 0.15/0.72
% 0.15/0.72 % SZS output end Refutation
% 0.15/0.72
% 0.15/0.72
% 0.15/0.72 % Terminating...
% 1.61/0.81 % Runner terminated.
% 1.61/0.82 % Zipperpin 1.5 exiting
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