%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET002-1 : 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.Mr5aXmM6Tb true
% Computer : n009.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 04:51:03 PM UTC 2025
% Result : Unsatisfiable 0.47s 0.70s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET002-1 : TPTP v9.2.0. Released v1.0.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mr5aXmM6Tb true
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:10:38 EDT 2025
% 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
% 0.42/0.58 % Total configuration time : 435
% 0.42/0.58 % Estimated wc time : 1092
% 0.42/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.70 % Solved by fo/fo6_bce.sh.
% 0.47/0.70 % BCE start: 14
% 0.47/0.70 % BCE eliminated: 0
% 0.47/0.70 % PE start: 14
% 0.47/0.70 logic: neq
% 0.47/0.70 % PE eliminated: 3
% 0.47/0.70 % done 18 iterations in 0.013s
% 0.47/0.70 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.47/0.70 % SZS output start Refutation
% 0.47/0.70 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 0.47/0.70 thf(subset_type, type, subset: $i > $i > $o).
% 0.47/0.70 thf(union_type, type, union: $i > $i > $i > $o).
% 0.47/0.70 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 0.47/0.70 thf(aUa_type, type, aUa: $i).
% 0.47/0.70 thf(member_type, type, member: $i > $i > $o).
% 0.47/0.70 thf(a_type, type, a: $i).
% 0.47/0.70 thf(subsets_are_set_equal_sets, axiom,
% 0.47/0.70 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 0.47/0.70 ( equal_sets @ Set2 @ Set1 ))).
% 0.47/0.70 thf(zip_derived_cl5, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i]:
% 0.47/0.70 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 0.47/0.70 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 0.47/0.70 thf(prove_a_equals_aUa, conjecture, (equal_sets @ aUa @ a)).
% 0.47/0.70 thf(zf_stmt_0, negated_conjecture, (~( equal_sets @ aUa @ a )),
% 0.47/0.70 inference('cnf.neg', [status(esa)], [prove_a_equals_aUa])).
% 0.47/0.70 thf(zip_derived_cl13, plain, (~ (equal_sets @ aUa @ a)),
% 0.47/0.70 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.47/0.70 thf(zip_derived_cl16, plain, ((~ (subset @ aUa @ a) | ~ (subset @ a @ aUa))),
% 0.47/0.70 inference('dp-resolution', [status(thm)],
% 0.47/0.70 [zip_derived_cl5, zip_derived_cl13])).
% 0.47/0.70 thf(subsets_axiom1, axiom,
% 0.47/0.70 (( subset @ Subset @ Superset ) |
% 0.47/0.70 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 0.47/0.70 thf(zip_derived_cl1, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i]:
% 0.47/0.70 ( (subset @ X0 @ X1)
% 0.47/0.70 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.47/0.70 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.47/0.70 thf(a_union_a_is_aUa, axiom, (union @ a @ a @ aUa)).
% 0.47/0.70 thf(zip_derived_cl12, plain, ( (union @ a @ a @ aUa)),
% 0.47/0.70 inference('cnf', [status(esa)], [a_union_a_is_aUa])).
% 0.47/0.70 thf(member_of_set1_is_member_of_union, axiom,
% 0.47/0.70 (( ~( union @ Set1 @ Set2 @ Union ) ) | ( ~( member @ Element @ Set1 ) ) |
% 0.47/0.70 ( member @ Element @ Union ))).
% 0.47/0.70 thf(zip_derived_cl7, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.70 (~ (union @ X0 @ X1 @ X2) | ~ (member @ X3 @ X0) | (member @ X3 @ X2))),
% 0.47/0.70 inference('cnf', [status(esa)], [member_of_set1_is_member_of_union])).
% 0.47/0.70 thf(zip_derived_cl29, plain,
% 0.47/0.70 (![X0 : $i]: (~ (member @ X0 @ a) | (member @ X0 @ aUa))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl7])).
% 0.47/0.70 thf(subsets_axiom2, axiom,
% 0.47/0.70 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 0.47/0.70 ( subset @ Subset @ Superset ))).
% 0.47/0.70 thf(zip_derived_cl2, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i]:
% 0.47/0.70 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.47/0.70 | (subset @ X0 @ X1))),
% 0.47/0.70 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.47/0.70 thf(zip_derived_cl30, plain,
% 0.47/0.70 (![X0 : $i]:
% 0.47/0.70 (~ (member @ (member_of_1_not_of_2 @ X0 @ aUa) @ a)
% 0.47/0.70 | (subset @ X0 @ aUa))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl2])).
% 0.47/0.70 thf(zip_derived_cl33, plain, (( (subset @ a @ aUa) | (subset @ a @ aUa))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl30])).
% 0.47/0.70 thf(zip_derived_cl35, plain, ( (subset @ a @ aUa)),
% 0.47/0.70 inference('simplify', [status(thm)], [zip_derived_cl33])).
% 0.47/0.70 thf(zip_derived_cl36, plain, (~ (subset @ aUa @ a)),
% 0.47/0.70 inference('demod', [status(thm)], [zip_derived_cl16, zip_derived_cl35])).
% 0.47/0.70 thf(zip_derived_cl1, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i]:
% 0.47/0.70 ( (subset @ X0 @ X1)
% 0.47/0.70 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.47/0.70 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.47/0.70 thf(zip_derived_cl12, plain, ( (union @ a @ a @ aUa)),
% 0.47/0.70 inference('cnf', [status(esa)], [a_union_a_is_aUa])).
% 0.47/0.70 thf(member_of_union_is_member_of_one_set, axiom,
% 0.47/0.70 (( ~( union @ Set1 @ Set2 @ Union ) ) |
% 0.47/0.70 ( ~( member @ Element @ Union ) ) | ( member @ Element @ Set1 ) |
% 0.47/0.70 ( member @ Element @ Set2 ))).
% 0.47/0.70 thf(zip_derived_cl6, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.47/0.70 (~ (union @ X0 @ X1 @ X2)
% 0.47/0.70 | ~ (member @ X3 @ X2)
% 0.47/0.70 | (member @ X3 @ X0)
% 0.47/0.70 | (member @ X3 @ X1))),
% 0.47/0.70 inference('cnf', [status(esa)], [member_of_union_is_member_of_one_set])).
% 0.47/0.70 thf(zip_derived_cl39, plain,
% 0.47/0.70 (![X0 : $i]:
% 0.47/0.70 (~ (member @ X0 @ aUa) | (member @ X0 @ a) | (member @ X0 @ a))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl12, zip_derived_cl6])).
% 0.47/0.70 thf(zip_derived_cl40, plain,
% 0.47/0.70 (![X0 : $i]: ( (member @ X0 @ a) | ~ (member @ X0 @ aUa))),
% 0.47/0.70 inference('simplify', [status(thm)], [zip_derived_cl39])).
% 0.47/0.70 thf(zip_derived_cl42, plain,
% 0.47/0.70 (![X0 : $i]:
% 0.47/0.70 ( (subset @ aUa @ X0)
% 0.47/0.70 | (member @ (member_of_1_not_of_2 @ aUa @ X0) @ a))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl1, zip_derived_cl40])).
% 0.47/0.70 thf(zip_derived_cl2, plain,
% 0.47/0.70 (![X0 : $i, X1 : $i]:
% 0.47/0.70 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.47/0.70 | (subset @ X0 @ X1))),
% 0.47/0.70 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.47/0.70 thf(zip_derived_cl43, plain, (( (subset @ aUa @ a) | (subset @ aUa @ a))),
% 0.47/0.70 inference('s_sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl2])).
% 0.47/0.70 thf(zip_derived_cl45, plain, ( (subset @ aUa @ a)),
% 0.47/0.70 inference('simplify', [status(thm)], [zip_derived_cl43])).
% 0.47/0.70 thf(zip_derived_cl56, plain, ($false),
% 0.47/0.70 inference('demod', [status(thm)], [zip_derived_cl36, zip_derived_cl45])).
% 0.47/0.70
% 0.47/0.70 % SZS output end Refutation
% 0.47/0.70
% 0.47/0.70
% 0.47/0.70 % Terminating...
% 0.54/0.80 % Runner terminated.
% 1.43/0.82 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------