TSTP Solution File: SET233-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET233-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.frnBG1Gvil true
% Computer : n002.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 16:13:31 EDT 2023
% Result : Unsatisfiable 1.29s 0.81s
% Output : Refutation 1.29s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET233-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.frnBG1Gvil true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:03:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.81/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.81/0.71 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.81/0.72 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.81/0.73 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.81/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.81/0.74 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.81/0.74 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.29/0.81 % Solved by fo/fo4.sh.
% 1.29/0.81 % done 63 iterations in 0.052s
% 1.29/0.81 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.29/0.81 % SZS output start Refutation
% 1.29/0.81 thf(member_type, type, member: $i > $i > $o).
% 1.29/0.81 thf(second_type, type, second: $i > $i).
% 1.29/0.81 thf(x_type, type, x: $i).
% 1.29/0.81 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.29/0.81 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.29/0.81 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.29/0.81 thf(first_type, type, first: $i > $i).
% 1.29/0.81 thf(y_type, type, y: $i).
% 1.29/0.81 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.29/0.81 thf(z_type, type, z: $i).
% 1.29/0.81 thf(prove_cross_product_property8_1, conjecture,
% 1.29/0.81 (subclass @ ( cross_product @ x @ y ) @ z)).
% 1.29/0.81 thf(zf_stmt_0, negated_conjecture,
% 1.29/0.81 (~( subclass @ ( cross_product @ x @ y ) @ z )),
% 1.29/0.81 inference('cnf.neg', [status(esa)], [prove_cross_product_property8_1])).
% 1.29/0.81 thf(zip_derived_cl13, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 1.29/0.81 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.29/0.81 thf(not_subclass_members1, axiom,
% 1.29/0.81 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.29/0.81 thf(zip_derived_cl1, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i]:
% 1.29/0.81 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.29/0.81 | (subclass @ X0 @ X1))),
% 1.29/0.81 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.29/0.81 thf(zip_derived_cl1, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i]:
% 1.29/0.81 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.29/0.81 | (subclass @ X0 @ X1))),
% 1.29/0.81 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.29/0.81 thf(cartesian_product4, axiom,
% 1.29/0.81 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 1.29/0.81 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 1.29/0.81 thf(zip_derived_cl10, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 1.29/0.81 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.29/0.81 inference('cnf', [status(esa)], [cartesian_product4])).
% 1.29/0.81 thf(zip_derived_cl53, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 1.29/0.81 | ((ordered_pair @
% 1.29/0.81 (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.29/0.81 (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))
% 1.29/0.81 = (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 1.29/0.81 thf(cartesian_product2, axiom,
% 1.29/0.81 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.29/0.81 ( member @ V @ Y ))).
% 1.29/0.81 thf(zip_derived_cl8, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.29/0.81 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.29/0.81 | (member @ X1 @ X3))),
% 1.29/0.81 inference('cnf', [status(esa)], [cartesian_product2])).
% 1.29/0.81 thf(zip_derived_cl55, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.29/0.81 (~ (member @
% 1.29/0.81 (not_subclass_element @ (cross_product @ X2 @ X1) @ X0) @
% 1.29/0.81 (cross_product @ X4 @ X3))
% 1.29/0.81 | (subclass @ (cross_product @ X2 @ X1) @ X0)
% 1.29/0.81 | (member @
% 1.29/0.81 (second @ (not_subclass_element @ (cross_product @ X2 @ X1) @ X0)) @
% 1.29/0.81 X3))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl53, zip_derived_cl8])).
% 1.29/0.81 thf(zip_derived_cl202, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 1.29/0.81 | (member @
% 1.29/0.81 (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.29/0.81 X0)
% 1.29/0.81 | (subclass @ (cross_product @ X1 @ X0) @ X2))),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl55])).
% 1.29/0.81 thf(zip_derived_cl203, plain,
% 1.29/0.81 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.29/0.81 ( (member @
% 1.29/0.81 (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.29/0.81 X0)
% 1.29/0.81 | (subclass @ (cross_product @ X1 @ X0) @ X2))),
% 1.29/0.81 inference('simplify', [status(thm)], [zip_derived_cl202])).
% 1.29/0.81 thf(prove_cross_product_property8_2, conjecture,
% 1.29/0.81 (member @
% 1.29/0.81 ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @ y)).
% 1.29/0.81 thf(zf_stmt_1, negated_conjecture,
% 1.29/0.81 (~( member @
% 1.29/0.81 ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @
% 1.29/0.81 y )),
% 1.29/0.81 inference('cnf.neg', [status(esa)], [prove_cross_product_property8_2])).
% 1.29/0.81 thf(zip_derived_cl12, plain,
% 1.29/0.81 (~ (member @
% 1.29/0.81 (second @ (not_subclass_element @ (cross_product @ x @ y) @ z)) @ y)),
% 1.29/0.81 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.29/0.81 thf(zip_derived_cl226, plain, ( (subclass @ (cross_product @ x @ y) @ z)),
% 1.29/0.81 inference('sup-', [status(thm)], [zip_derived_cl203, zip_derived_cl12])).
% 1.29/0.81 thf(zip_derived_cl227, plain, ($false),
% 1.29/0.81 inference('demod', [status(thm)], [zip_derived_cl13, zip_derived_cl226])).
% 1.29/0.81
% 1.29/0.81 % SZS output end Refutation
% 1.29/0.81
% 1.29/0.81
% 1.29/0.81 % Terminating...
% 1.46/0.87 % Runner terminated.
% 1.46/0.88 % Zipperpin 1.5 exiting
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