%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET012-1 : 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.aFrZZwrh45 true
% Computer : n029.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 04:51:06 PM UTC 2025
% Result : Unsatisfiable 0.46s 0.84s
% Output : Refutation 0.46s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : SET012-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.01/0.11 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.aFrZZwrh45 true
% 0.10/0.32 % Computer : n029.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Wed Oct 1 13:09:23 EDT 2025
% 0.16/0.32 % CPUTime :
% 0.16/0.32 % Running portfolio for 300 s
% 0.16/0.32 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.32 % Number of cores: 8
% 0.16/0.33 % Python version: Python 3.6.8
% 0.16/0.33 % Running in FO mode
% 0.45/0.62 % Total configuration time : 435
% 0.45/0.62 % Estimated wc time : 1092
% 0.45/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.45/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.45/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.45/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.45/0.69 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.45/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.45/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.46/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.46/0.84 % Solved by fo/fo1_av.sh.
% 0.46/0.84 % done 184 iterations in 0.106s
% 0.46/0.84 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.46/0.84 % SZS output start Refutation
% 0.46/0.84 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 0.46/0.84 thf(subset_type, type, subset: $i > $i > $o).
% 0.46/0.84 thf(complement_type, type, complement: $i > $i).
% 0.46/0.84 thf(member_type, type, member: $i > $i > $o).
% 0.46/0.84 thf(a_type, type, a: $i).
% 0.46/0.84 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 0.46/0.84 thf(prove_involution, conjecture,
% 0.46/0.84 (equal_sets @ ( complement @ ( complement @ a ) ) @ a)).
% 0.46/0.84 thf(zf_stmt_0, negated_conjecture,
% 0.46/0.84 (~( equal_sets @ ( complement @ ( complement @ a ) ) @ a )),
% 0.46/0.84 inference('cnf.neg', [status(esa)], [prove_involution])).
% 0.46/0.84 thf(zip_derived_cl21, plain,
% 0.46/0.84 (~ (equal_sets @ (complement @ (complement @ a)) @ a)),
% 0.46/0.84 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.46/0.84 thf(subsets_axiom1, axiom,
% 0.46/0.84 (( subset @ Subset @ Superset ) |
% 0.46/0.84 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 0.46/0.84 thf(zip_derived_cl2, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (subset @ X0 @ X1)
% 0.46/0.84 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.46/0.84 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.46/0.84 thf(member_of_set_or_complement, axiom,
% 0.46/0.84 (( member @ X @ Xs ) | ( member @ X @ ( complement @ Xs ) ))).
% 0.46/0.84 thf(zip_derived_cl4, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (member @ X0 @ X1) | (member @ X0 @ (complement @ X1)))),
% 0.46/0.84 inference('cnf', [status(esa)], [member_of_set_or_complement])).
% 0.46/0.84 thf(subsets_axiom2, axiom,
% 0.46/0.84 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 0.46/0.84 ( subset @ Subset @ Superset ))).
% 0.46/0.84 thf(zip_derived_cl3, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.46/0.84 | (subset @ X0 @ X1))),
% 0.46/0.84 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.46/0.84 thf(zip_derived_cl29, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (member @ (member_of_1_not_of_2 @ X1 @ (complement @ X0)) @ X0)
% 0.46/0.84 | (subset @ X1 @ (complement @ X0)))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl3])).
% 0.46/0.84 thf(not_member_of_set_and_complement, axiom,
% 0.46/0.84 (( ~( member @ X @ Xs ) ) | ( ~( member @ X @ ( complement @ Xs ) ) ))).
% 0.46/0.84 thf(zip_derived_cl5, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 (~ (member @ X0 @ X1) | ~ (member @ X0 @ (complement @ X1)))),
% 0.46/0.84 inference('cnf', [status(esa)], [not_member_of_set_and_complement])).
% 0.46/0.84 thf(zip_derived_cl77, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (subset @ X1 @ (complement @ (complement @ X0)))
% 0.46/0.84 | ~ (member @
% 0.46/0.84 (member_of_1_not_of_2 @ X1 @ (complement @ (complement @ X0))) @
% 0.46/0.84 X0))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl5])).
% 0.46/0.84 thf(zip_derived_cl472, plain,
% 0.46/0.84 (![X0 : $i]:
% 0.46/0.84 ( (subset @ X0 @ (complement @ (complement @ X0)))
% 0.46/0.84 | (subset @ X0 @ (complement @ (complement @ X0))))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl77])).
% 0.46/0.84 thf(zip_derived_cl476, plain,
% 0.46/0.84 (![X0 : $i]: (subset @ X0 @ (complement @ (complement @ X0)))),
% 0.46/0.84 inference('simplify', [status(thm)], [zip_derived_cl472])).
% 0.46/0.84 thf(subsets_are_set_equal_sets, axiom,
% 0.46/0.84 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 0.46/0.84 ( equal_sets @ Set2 @ Set1 ))).
% 0.46/0.84 thf(zip_derived_cl14, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 0.46/0.84 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 0.46/0.84 thf(zip_derived_cl485, plain,
% 0.46/0.84 (![X0 : $i]:
% 0.46/0.84 (~ (subset @ (complement @ (complement @ X0)) @ X0)
% 0.46/0.84 | (equal_sets @ (complement @ (complement @ X0)) @ X0))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl476, zip_derived_cl14])).
% 0.46/0.84 thf(zip_derived_cl2, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (subset @ X0 @ X1)
% 0.46/0.84 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.46/0.84 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.46/0.84 thf(zip_derived_cl5, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 (~ (member @ X0 @ X1) | ~ (member @ X0 @ (complement @ X1)))),
% 0.46/0.84 inference('cnf', [status(esa)], [not_member_of_set_and_complement])).
% 0.46/0.84 thf(zip_derived_cl41, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (subset @ (complement @ X0) @ X1)
% 0.46/0.84 | ~ (member @ (member_of_1_not_of_2 @ (complement @ X0) @ X1) @ X0))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl5])).
% 0.46/0.84 thf(zip_derived_cl4, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (member @ X0 @ X1) | (member @ X0 @ (complement @ X1)))),
% 0.46/0.84 inference('cnf', [status(esa)], [member_of_set_or_complement])).
% 0.46/0.84 thf(zip_derived_cl70, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 ( (subset @ (complement @ (complement @ X0)) @ X1)
% 0.46/0.84 | (member @
% 0.46/0.84 (member_of_1_not_of_2 @ (complement @ (complement @ X0)) @ X1) @
% 0.46/0.84 X0))),
% 0.46/0.84 inference('s_sup+', [status(thm)], [zip_derived_cl41, zip_derived_cl4])).
% 0.46/0.84 thf(zip_derived_cl3, plain,
% 0.46/0.84 (![X0 : $i, X1 : $i]:
% 0.46/0.84 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.46/0.84 | (subset @ X0 @ X1))),
% 0.46/0.84 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.46/0.84 thf(zip_derived_cl281, plain,
% 0.46/0.84 (![X0 : $i]:
% 0.46/0.84 ( (subset @ (complement @ (complement @ X0)) @ X0)
% 0.46/0.84 | (subset @ (complement @ (complement @ X0)) @ X0))),
% 0.46/0.84 inference('s_sup-', [status(thm)], [zip_derived_cl70, zip_derived_cl3])).
% 0.46/0.84 thf(zip_derived_cl286, plain,
% 0.46/0.84 (![X0 : $i]: (subset @ (complement @ (complement @ X0)) @ X0)),
% 0.46/0.84 inference('simplify', [status(thm)], [zip_derived_cl281])).
% 0.46/0.84 thf(zip_derived_cl487, plain,
% 0.46/0.84 (![X0 : $i]: (equal_sets @ (complement @ (complement @ X0)) @ X0)),
% 0.46/0.84 inference('demod', [status(thm)], [zip_derived_cl485, zip_derived_cl286])).
% 0.46/0.84 thf(zip_derived_cl488, plain, ($false),
% 0.46/0.84 inference('demod', [status(thm)], [zip_derived_cl21, zip_derived_cl487])).
% 0.46/0.84
% 0.46/0.84 % SZS output end Refutation
% 0.46/0.84
% 0.46/0.84
% 0.46/0.84 % Terminating...
% 0.51/0.91 % Runner terminated.
% 0.51/0.92 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------