TSTP Solution File: SET232-6 by Zipperpin---2.1.9999
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%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET232-6 : 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.qtf3VGBcC6 true
% Computer : n014.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 1.38s 0.86s
% Output : Refutation 1.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET232-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.qtf3VGBcC6 true
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sat Aug 26 11:16:47 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % Running portfolio for 300 s
% 0.15/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36 % Number of cores: 8
% 0.15/0.37 % Python version: Python 3.6.8
% 0.15/0.37 % Running in FO mode
% 0.23/0.64 % Total configuration time : 435
% 0.23/0.64 % Estimated wc time : 1092
% 0.23/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.23/0.72 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.23/0.76 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.05/0.76 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.05/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.05/0.77 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.05/0.79 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.38/0.86 % Solved by fo/fo4.sh.
% 1.38/0.86 % done 43 iterations in 0.029s
% 1.38/0.86 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.38/0.86 % SZS output start Refutation
% 1.38/0.86 thf(member_type, type, member: $i > $i > $o).
% 1.38/0.86 thf(second_type, type, second: $i > $i).
% 1.38/0.86 thf(x_type, type, x: $i).
% 1.38/0.86 thf(subclass_type, type, subclass: $i > $i > $o).
% 1.38/0.86 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 1.38/0.86 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 1.38/0.86 thf(first_type, type, first: $i > $i).
% 1.38/0.86 thf(y_type, type, y: $i).
% 1.38/0.86 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 1.38/0.86 thf(z_type, type, z: $i).
% 1.38/0.86 thf(prove_cross_product_property7_1, conjecture,
% 1.38/0.86 (subclass @ ( cross_product @ x @ y ) @ z)).
% 1.38/0.86 thf(zf_stmt_0, negated_conjecture,
% 1.38/0.86 (~( subclass @ ( cross_product @ x @ y ) @ z )),
% 1.38/0.86 inference('cnf.neg', [status(esa)], [prove_cross_product_property7_1])).
% 1.38/0.86 thf(zip_derived_cl14, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 1.38/0.86 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.38/0.86 thf(not_subclass_members1, axiom,
% 1.38/0.86 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 1.38/0.86 thf(zip_derived_cl1, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i]:
% 1.38/0.86 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.38/0.86 | (subclass @ X0 @ X1))),
% 1.38/0.86 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.38/0.86 thf(zip_derived_cl1, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i]:
% 1.38/0.86 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 1.38/0.86 | (subclass @ X0 @ X1))),
% 1.38/0.86 inference('cnf', [status(esa)], [not_subclass_members1])).
% 1.38/0.86 thf(cartesian_product4, axiom,
% 1.38/0.86 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 1.38/0.86 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 1.38/0.86 thf(zip_derived_cl10, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.86 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 1.38/0.86 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 1.38/0.86 inference('cnf', [status(esa)], [cartesian_product4])).
% 1.38/0.86 thf(zip_derived_cl54, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.86 ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 1.38/0.86 | ((ordered_pair @
% 1.38/0.86 (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.38/0.86 (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))
% 1.38/0.86 = (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))),
% 1.38/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 1.38/0.86 thf(cartesian_product1, axiom,
% 1.38/0.86 (( ~( member @ ( ordered_pair @ U @ V ) @ ( cross_product @ X @ Y ) ) ) |
% 1.38/0.86 ( member @ U @ X ))).
% 1.38/0.86 thf(zip_derived_cl7, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.38/0.86 (~ (member @ (ordered_pair @ X0 @ X1) @ (cross_product @ X2 @ X3))
% 1.38/0.86 | (member @ X0 @ X2))),
% 1.38/0.86 inference('cnf', [status(esa)], [cartesian_product1])).
% 1.38/0.86 thf(zip_derived_cl55, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.38/0.86 (~ (member @
% 1.38/0.86 (not_subclass_element @ (cross_product @ X2 @ X1) @ X0) @
% 1.38/0.86 (cross_product @ X4 @ X3))
% 1.38/0.86 | (subclass @ (cross_product @ X2 @ X1) @ X0)
% 1.38/0.86 | (member @
% 1.38/0.86 (first @ (not_subclass_element @ (cross_product @ X2 @ X1) @ X0)) @
% 1.38/0.86 X4))),
% 1.38/0.86 inference('sup-', [status(thm)], [zip_derived_cl54, zip_derived_cl7])).
% 1.38/0.86 thf(zip_derived_cl88, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.86 ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 1.38/0.86 | (member @
% 1.38/0.86 (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.38/0.86 X1)
% 1.38/0.86 | (subclass @ (cross_product @ X1 @ X0) @ X2))),
% 1.38/0.86 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl55])).
% 1.38/0.86 thf(zip_derived_cl89, plain,
% 1.38/0.86 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.38/0.86 ( (member @
% 1.38/0.86 (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 1.38/0.86 X1)
% 1.38/0.86 | (subclass @ (cross_product @ X1 @ X0) @ X2))),
% 1.38/0.86 inference('simplify', [status(thm)], [zip_derived_cl88])).
% 1.38/0.86 thf(prove_cross_product_property7_2, conjecture,
% 1.38/0.86 (member @
% 1.38/0.86 ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @ x)).
% 1.38/0.86 thf(zf_stmt_1, negated_conjecture,
% 1.38/0.86 (~( member @
% 1.38/0.86 ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @
% 1.38/0.86 x )),
% 1.38/0.86 inference('cnf.neg', [status(esa)], [prove_cross_product_property7_2])).
% 1.38/0.86 thf(zip_derived_cl13, plain,
% 1.38/0.86 (~ (member @
% 1.38/0.86 (first @ (not_subclass_element @ (cross_product @ x @ y) @ z)) @ x)),
% 1.38/0.86 inference('cnf', [status(esa)], [zf_stmt_1])).
% 1.38/0.86 thf(zip_derived_cl112, plain, ( (subclass @ (cross_product @ x @ y) @ z)),
% 1.38/0.86 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl13])).
% 1.38/0.86 thf(zip_derived_cl113, plain, ($false),
% 1.38/0.86 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl112])).
% 1.38/0.86
% 1.38/0.86 % SZS output end Refutation
% 1.38/0.86
% 1.38/0.86
% 1.38/0.86 % Terminating...
% 1.43/0.96 % Runner terminated.
% 1.43/0.98 % Zipperpin 1.5 exiting
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