%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET234-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IqRbqpWBdR true
% Computer : n013.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 Oct 2 04:51:53 PM UTC 2025
% Result : Unsatisfiable 0.58s 0.85s
% Output : Refutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET234-6 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IqRbqpWBdR true
% 0.13/0.36 % Computer : n013.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 13:11:23 EDT 2025
% 0.21/0.36 % CPUTime :
% 0.21/0.36 % Running portfolio for 300 s
% 0.21/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.36 % Number of cores: 8
% 0.21/0.36 % Python version: Python 3.6.8
% 0.21/0.36 % Running in FO mode
% 0.57/0.64 % Total configuration time : 435
% 0.57/0.64 % Estimated wc time : 1092
% 0.57/0.64 % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.58/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.58/0.77 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.58/0.78 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.58/0.85 % Solved by fo/fo4.sh.
% 0.58/0.85 % done 38 iterations in 0.032s
% 0.58/0.85 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.85 % SZS output start Refutation
% 0.58/0.85 thf(member_type, type, member: $i > $i > $o).
% 0.58/0.85 thf(second_type, type, second: $i > $i).
% 0.58/0.85 thf(x_type, type, x: $i).
% 0.58/0.85 thf(subclass_type, type, subclass: $i > $i > $o).
% 0.58/0.85 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.58/0.85 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.58/0.85 thf(first_type, type, first: $i > $i).
% 0.58/0.85 thf(y_type, type, y: $i).
% 0.58/0.85 thf(not_subclass_element_type, type, not_subclass_element: $i > $i > $i).
% 0.58/0.85 thf(z_type, type, z: $i).
% 0.58/0.85 thf(prove_cross_product_property9_2, conjecture,
% 0.58/0.85 (subclass @ ( cross_product @ x @ y ) @ z)).
% 0.58/0.85 thf(zf_stmt_0, negated_conjecture,
% 0.58/0.85 (~( subclass @ ( cross_product @ x @ y ) @ z )),
% 0.58/0.85 inference('cnf.neg', [status(esa)], [prove_cross_product_property9_2])).
% 0.58/0.85 thf(zip_derived_cl14, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 0.58/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.85 thf(not_subclass_members1, axiom,
% 0.58/0.85 (( member @ ( not_subclass_element @ X @ Y ) @ X ) | ( subclass @ X @ Y ))).
% 0.58/0.85 thf(zip_derived_cl1, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i]:
% 0.58/0.85 ( (member @ (not_subclass_element @ X0 @ X1) @ X0)
% 0.58/0.85 | (subclass @ X0 @ X1))),
% 0.58/0.85 inference('cnf', [status(esa)], [not_subclass_members1])).
% 0.58/0.85 thf(cartesian_product4, axiom,
% 0.58/0.85 (( ~( member @ Z @ ( cross_product @ X @ Y ) ) ) |
% 0.58/0.85 ( ( ordered_pair @ ( first @ Z ) @ ( second @ Z ) ) = ( Z ) ))).
% 0.58/0.85 thf(zip_derived_cl10, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.85 (~ (member @ X0 @ (cross_product @ X1 @ X2))
% 0.58/0.85 | ((ordered_pair @ (first @ X0) @ (second @ X0)) = (X0)))),
% 0.58/0.85 inference('cnf', [status(esa)], [cartesian_product4])).
% 0.58/0.85 thf(zip_derived_cl57, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.58/0.85 ( (subclass @ (cross_product @ X1 @ X0) @ X2)
% 0.58/0.85 | ((ordered_pair @
% 0.58/0.85 (first @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)) @
% 0.58/0.85 (second @ (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))
% 0.58/0.85 = (not_subclass_element @ (cross_product @ X1 @ X0) @ X2)))),
% 0.58/0.85 inference('sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl10])).
% 0.58/0.85 thf(prove_cross_product_property9_1, conjecture,
% 0.58/0.85 (~( member @
% 0.58/0.85 ( ordered_pair @
% 0.58/0.85 ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @
% 0.58/0.85 ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) ) @
% 0.58/0.85 z ))).
% 0.58/0.85 thf(zf_stmt_1, negated_conjecture,
% 0.58/0.85 (member @
% 0.58/0.85 ( ordered_pair @
% 0.58/0.85 ( first @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) @
% 0.58/0.85 ( second @ ( not_subclass_element @ ( cross_product @ x @ y ) @ z ) ) ) @
% 0.58/0.85 z),
% 0.58/0.85 inference('cnf.neg', [status(esa)], [prove_cross_product_property9_1])).
% 0.58/0.85 thf(zip_derived_cl15, plain,
% 0.58/0.85 ( (member @
% 0.58/0.85 (ordered_pair @
% 0.58/0.85 (first @ (not_subclass_element @ (cross_product @ x @ y) @ z)) @
% 0.58/0.85 (second @ (not_subclass_element @ (cross_product @ x @ y) @ z))) @
% 0.58/0.85 z)),
% 0.58/0.85 inference('cnf', [status(esa)], [zf_stmt_1])).
% 0.58/0.85 thf(zip_derived_cl93, plain,
% 0.58/0.85 (( (member @ (not_subclass_element @ (cross_product @ x @ y) @ z) @ z)
% 0.58/0.85 | (subclass @ (cross_product @ x @ y) @ z))),
% 0.58/0.85 inference('sup+', [status(thm)], [zip_derived_cl57, zip_derived_cl15])).
% 0.58/0.85 thf(zip_derived_cl14, plain, (~ (subclass @ (cross_product @ x @ y) @ z)),
% 0.58/0.85 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.58/0.85 thf(zip_derived_cl95, plain,
% 0.58/0.85 ( (member @ (not_subclass_element @ (cross_product @ x @ y) @ z) @ z)),
% 0.58/0.85 inference('demod', [status(thm)], [zip_derived_cl93, zip_derived_cl14])).
% 0.58/0.85 thf(not_subclass_members2, axiom,
% 0.58/0.85 (( ~( member @ ( not_subclass_element @ X @ Y ) @ Y ) ) |
% 0.58/0.85 ( subclass @ X @ Y ))).
% 0.58/0.85 thf(zip_derived_cl2, plain,
% 0.58/0.85 (![X0 : $i, X1 : $i]:
% 0.58/0.85 (~ (member @ (not_subclass_element @ X0 @ X1) @ X1)
% 0.58/0.85 | (subclass @ X0 @ X1))),
% 0.58/0.85 inference('cnf', [status(esa)], [not_subclass_members2])).
% 0.58/0.85 thf(zip_derived_cl103, plain, ( (subclass @ (cross_product @ x @ y) @ z)),
% 0.58/0.85 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl2])).
% 0.58/0.85 thf(zip_derived_cl105, plain, ($false),
% 0.58/0.85 inference('demod', [status(thm)], [zip_derived_cl14, zip_derived_cl103])).
% 0.58/0.85
% 0.58/0.85 % SZS output end Refutation
% 0.58/0.85
% 0.58/0.85
% 0.58/0.85 % Terminating...
% 1.55/0.98 % Runner terminated.
% 1.55/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------