%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET042-3 : TPTP v9.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3jknE0GHOG true
% Computer : n028.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 04:51:17 PM UTC 2025
% Result : Unsatisfiable 0.61s 1.04s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SET042-3 : TPTP v9.2.0. Released v1.0.0.
% 0.12/0.14 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3jknE0GHOG true
% 0.14/0.36 % Computer : n028.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed Oct 1 13:19:38 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % Running portfolio for 300 s
% 0.14/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.36 % Number of cores: 8
% 0.14/0.36 % Python version: Python 3.6.8
% 0.14/0.37 % Running in FO mode
% 0.60/0.72 % Total configuration time : 435
% 0.60/0.72 % Estimated wc time : 1092
% 0.60/0.72 % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.77 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.78 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.60/0.81 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.61/1.04 % Solved by fo/fo7.sh.
% 0.61/1.04 % done 187 iterations in 0.198s
% 0.61/1.04 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/1.04 % SZS output start Refutation
% 0.61/1.04 thf(set_a_type, type, set_a: $i).
% 0.61/1.04 thf(second_type, type, second: $i > $i).
% 0.61/1.04 thf(ordered_pair_type, type, ordered_pair: $i > $i > $i).
% 0.61/1.04 thf(ordered_pair_predicate_type, type, ordered_pair_predicate: $i > $o).
% 0.61/1.04 thf(first_type, type, first: $i > $i).
% 0.61/1.04 thf(member_type, type, member: $i > $i > $o).
% 0.61/1.04 thf(little_set_type, type, little_set: $i > $o).
% 0.61/1.04 thf(set_b_type, type, set_b: $i).
% 0.61/1.04 thf(b_type, type, b: $i).
% 0.61/1.04 thf(cross_product_type, type, cross_product: $i > $i > $i).
% 0.61/1.04 thf(a_type, type, a: $i).
% 0.61/1.04 thf(property_of_first, axiom,
% 0.61/1.04 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 0.61/1.04 ( ( first @ ( ordered_pair @ X @ Y ) ) = ( X ) ))).
% 0.61/1.04 thf(zip_derived_cl30, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]:
% 0.61/1.04 (~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X1)
% 0.61/1.04 | ((first @ (ordered_pair @ X0 @ X1)) = (X0)))),
% 0.61/1.04 inference('cnf', [status(esa)], [property_of_first])).
% 0.61/1.04 thf(ordered_pair_predicate4, axiom,
% 0.61/1.04 (( ordered_pair_predicate @ X ) | ( ~( little_set @ Y ) ) |
% 0.61/1.04 ( ~( little_set @ Z ) ) | ( ( X ) != ( ordered_pair @ Y @ Z ) ))).
% 0.61/1.04 thf(zip_derived_cl1, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.04 ( (ordered_pair_predicate @ X0)
% 0.61/1.04 | ~ (little_set @ X1)
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | ((X0) != (ordered_pair @ X1 @ X2)))),
% 0.61/1.04 inference('cnf', [status(esa)], [ordered_pair_predicate4])).
% 0.61/1.04 thf(zip_derived_cl68, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]:
% 0.61/1.04 (~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X1)
% 0.61/1.04 | (ordered_pair_predicate @ (ordered_pair @ X1 @ X0)))),
% 0.61/1.04 inference('eq_res', [status(thm)], [zip_derived_cl1])).
% 0.61/1.04 thf(property_of_second, axiom,
% 0.61/1.04 (( ~( little_set @ X ) ) | ( ~( little_set @ Y ) ) |
% 0.61/1.04 ( ( second @ ( ordered_pair @ X @ Y ) ) = ( Y ) ))).
% 0.61/1.04 thf(zip_derived_cl31, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]:
% 0.61/1.04 (~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X1)
% 0.61/1.04 | ((second @ (ordered_pair @ X0 @ X1)) = (X1)))),
% 0.61/1.04 inference('cnf', [status(esa)], [property_of_second])).
% 0.61/1.04 thf(cross_product4, axiom,
% 0.61/1.04 (( member @ Z @ ( cross_product @ X @ Y ) ) | ( ~( little_set @ Z ) ) |
% 0.61/1.04 ( ~( ordered_pair_predicate @ Z ) ) |
% 0.61/1.04 ( ~( member @ ( first @ Z ) @ X ) ) | ( ~( member @ ( second @ Z ) @ Y ) ))).
% 0.61/1.04 thf(zip_derived_cl8, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.04 ( (member @ X0 @ (cross_product @ X1 @ X2))
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | ~ (ordered_pair_predicate @ X0)
% 0.61/1.04 | ~ (member @ (first @ X0) @ X1)
% 0.61/1.04 | ~ (member @ (second @ X0) @ X2))),
% 0.61/1.04 inference('cnf', [status(esa)], [cross_product4])).
% 0.61/1.04 thf(ordered_pairs_are_small2, axiom,
% 0.61/1.04 (( ~( ordered_pair_predicate @ X ) ) | ( little_set @ X ))).
% 0.61/1.04 thf(zip_derived_cl35, plain,
% 0.61/1.04 (![X0 : $i]: (~ (ordered_pair_predicate @ X0) | (little_set @ X0))),
% 0.61/1.04 inference('cnf', [status(esa)], [ordered_pairs_are_small2])).
% 0.61/1.04 thf(zip_derived_cl164, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.61/1.04 (~ (member @ (second @ X0) @ X2)
% 0.61/1.04 | ~ (member @ (first @ X0) @ X1)
% 0.61/1.04 | ~ (ordered_pair_predicate @ X0)
% 0.61/1.04 | (member @ X0 @ (cross_product @ X1 @ X2)))),
% 0.61/1.04 inference('clc', [status(thm)], [zip_derived_cl8, zip_derived_cl35])).
% 0.61/1.04 thf(zip_derived_cl168, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ X0 @ X1)
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | (member @ (ordered_pair @ X2 @ X0) @ (cross_product @ X3 @ X1))
% 0.61/1.04 | ~ (ordered_pair_predicate @ (ordered_pair @ X2 @ X0))
% 0.61/1.04 | ~ (member @ (first @ (ordered_pair @ X2 @ X0)) @ X3))),
% 0.61/1.04 inference('sup-', [status(thm)], [zip_derived_cl31, zip_derived_cl164])).
% 0.61/1.04 thf(a2, axiom, (( ~( member @ X @ Y ) ) | ( little_set @ X ))).
% 0.61/1.04 thf(zip_derived_cl0, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 0.61/1.04 inference('cnf', [status(esa)], [a2])).
% 0.61/1.04 thf(zip_derived_cl475, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ (first @ (ordered_pair @ X2 @ X0)) @ X3)
% 0.61/1.04 | ~ (ordered_pair_predicate @ (ordered_pair @ X2 @ X0))
% 0.61/1.04 | (member @ (ordered_pair @ X2 @ X0) @ (cross_product @ X3 @ X1))
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | ~ (member @ X0 @ X1))),
% 0.61/1.04 inference('clc', [status(thm)], [zip_derived_cl168, zip_derived_cl0])).
% 0.61/1.04 thf(zip_derived_cl476, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (little_set @ X1)
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | ~ (member @ X0 @ X2)
% 0.61/1.04 | ~ (little_set @ X1)
% 0.61/1.04 | (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ X3 @ X2))
% 0.61/1.04 | ~ (member @ (first @ (ordered_pair @ X1 @ X0)) @ X3))),
% 0.61/1.04 inference('sup-', [status(thm)], [zip_derived_cl68, zip_derived_cl475])).
% 0.61/1.04 thf(zip_derived_cl477, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ (first @ (ordered_pair @ X1 @ X0)) @ X3)
% 0.61/1.04 | (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ X3 @ X2))
% 0.61/1.04 | ~ (member @ X0 @ X2)
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X1))),
% 0.61/1.04 inference('simplify', [status(thm)], [zip_derived_cl476])).
% 0.61/1.04 thf(zip_derived_cl0, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 0.61/1.04 inference('cnf', [status(esa)], [a2])).
% 0.61/1.04 thf(zip_derived_cl484, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (little_set @ X1)
% 0.61/1.04 | ~ (member @ X0 @ X2)
% 0.61/1.04 | (member @ (ordered_pair @ X1 @ X0) @ (cross_product @ X3 @ X2))
% 0.61/1.04 | ~ (member @ (first @ (ordered_pair @ X1 @ X0)) @ X3))),
% 0.61/1.04 inference('clc', [status(thm)], [zip_derived_cl477, zip_derived_cl0])).
% 0.61/1.04 thf(zip_derived_cl491, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ X0 @ X1)
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3))
% 0.61/1.04 | ~ (member @ X2 @ X3)
% 0.61/1.04 | ~ (little_set @ X0))),
% 0.61/1.04 inference('sup-', [status(thm)], [zip_derived_cl30, zip_derived_cl484])).
% 0.61/1.04 thf(zip_derived_cl492, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ X2 @ X3)
% 0.61/1.04 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3))
% 0.61/1.04 | ~ (little_set @ X0)
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | ~ (member @ X0 @ X1))),
% 0.61/1.04 inference('simplify', [status(thm)], [zip_derived_cl491])).
% 0.61/1.04 thf(zip_derived_cl0, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 0.61/1.04 inference('cnf', [status(esa)], [a2])).
% 0.61/1.04 thf(zip_derived_cl493, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ X0 @ X1)
% 0.61/1.04 | ~ (little_set @ X2)
% 0.61/1.04 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3))
% 0.61/1.04 | ~ (member @ X2 @ X3))),
% 0.61/1.04 inference('clc', [status(thm)], [zip_derived_cl492, zip_derived_cl0])).
% 0.61/1.04 thf(zip_derived_cl0, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i]: (~ (member @ X0 @ X1) | (little_set @ X0))),
% 0.61/1.04 inference('cnf', [status(esa)], [a2])).
% 0.61/1.04 thf(zip_derived_cl494, plain,
% 0.61/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.61/1.04 (~ (member @ X2 @ X3)
% 0.61/1.04 | (member @ (ordered_pair @ X0 @ X2) @ (cross_product @ X1 @ X3))
% 0.61/1.04 | ~ (member @ X0 @ X1))),
% 0.61/1.04 inference('clc', [status(thm)], [zip_derived_cl493, zip_derived_cl0])).
% 0.61/1.04 thf(prove_ordered_pair_is_in_cross_product, conjecture,
% 0.61/1.04 (member @ ( ordered_pair @ a @ b ) @ ( cross_product @ set_a @ set_b ))).
% 0.61/1.04 thf(zf_stmt_0, negated_conjecture,
% 0.61/1.04 (~( member @ ( ordered_pair @ a @ b ) @ ( cross_product @ set_a @ set_b ) )),
% 0.61/1.04 inference('cnf.neg', [status(esa)],
% 0.61/1.04 [prove_ordered_pair_is_in_cross_product])).
% 0.61/1.04 thf(zip_derived_cl51, plain,
% 0.61/1.04 (~ (member @ (ordered_pair @ a @ b) @ (cross_product @ set_a @ set_b))),
% 0.61/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.61/1.04 thf(zip_derived_cl512, plain,
% 0.61/1.04 ((~ (member @ a @ set_a) | ~ (member @ b @ set_b))),
% 0.61/1.04 inference('sup-', [status(thm)], [zip_derived_cl494, zip_derived_cl51])).
% 0.61/1.04 thf(member_of_set_a, axiom, (member @ a @ set_a)).
% 0.61/1.04 thf(zip_derived_cl49, plain, ( (member @ a @ set_a)),
% 0.61/1.04 inference('cnf', [status(esa)], [member_of_set_a])).
% 0.61/1.04 thf(member_of_set_b, axiom, (member @ b @ set_b)).
% 0.61/1.04 thf(zip_derived_cl50, plain, ( (member @ b @ set_b)),
% 0.61/1.04 inference('cnf', [status(esa)], [member_of_set_b])).
% 0.61/1.04 thf(zip_derived_cl513, plain, ($false),
% 0.61/1.04 inference('demod', [status(thm)],
% 0.61/1.04 [zip_derived_cl512, zip_derived_cl49, zip_derived_cl50])).
% 0.61/1.04
% 0.61/1.04 % SZS output end Refutation
% 0.61/1.04
% 0.61/1.04
% 0.61/1.04 % Terminating...
% 3.03/1.21 % Runner terminated.
% 3.07/1.23 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------