%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET013-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OqJnaYqMDC true
% Computer : n007.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 31.23s 5.13s
% Output : Refutation 31.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET013-1 : TPTP v9.2.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.OqJnaYqMDC true
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Oct 1 12:54:08 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % Running portfolio for 300 s
% 0.12/0.33 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Number of cores: 8
% 0.12/0.33 % Python version: Python 3.6.8
% 0.12/0.33 % Running in FO mode
% 0.53/0.62 % Total configuration time : 435
% 0.53/0.62 % Estimated wc time : 1092
% 0.53/0.62 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.69 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.70 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.71 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.72 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.73 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.74 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 31.23/5.13 % Solved by fo/fo3_bce.sh.
% 31.23/5.13 % BCE start: 22
% 31.23/5.13 % BCE eliminated: 0
% 31.23/5.13 % PE start: 22
% 31.23/5.13 logic: neq
% 31.23/5.13 % PE eliminated: 0
% 31.23/5.13 % done 4054 iterations in 4.403s
% 31.23/5.13 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 31.23/5.13 % SZS output start Refutation
% 31.23/5.13 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 31.23/5.13 thf(intersection_type, type, intersection: $i > $i > $i).
% 31.23/5.13 thf(subset_type, type, subset: $i > $i > $o).
% 31.23/5.13 thf(bs_type, type, bs: $i).
% 31.23/5.13 thf(member_type, type, member: $i > $i > $o).
% 31.23/5.13 thf(as_type, type, as: $i).
% 31.23/5.13 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 31.23/5.13 thf(subsets_are_set_equal_sets, axiom,
% 31.23/5.13 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 31.23/5.13 ( equal_sets @ Set2 @ Set1 ))).
% 31.23/5.13 thf(zip_derived_cl14, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 31.23/5.13 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 31.23/5.13 thf(prove_commutativity, conjecture,
% 31.23/5.13 (equal_sets @ ( intersection @ as @ bs ) @ ( intersection @ bs @ as ))).
% 31.23/5.13 thf(zf_stmt_0, negated_conjecture,
% 31.23/5.13 (~( equal_sets @ ( intersection @ as @ bs ) @ ( intersection @ bs @ as ) )),
% 31.23/5.13 inference('cnf.neg', [status(esa)], [prove_commutativity])).
% 31.23/5.13 thf(zip_derived_cl21, plain,
% 31.23/5.13 (~ (equal_sets @ (intersection @ as @ bs) @ (intersection @ bs @ as))),
% 31.23/5.13 inference('cnf', [status(esa)], [zf_stmt_0])).
% 31.23/5.13 thf(zip_derived_cl54, plain,
% 31.23/5.13 ((~ (subset @ (intersection @ as @ bs) @ (intersection @ bs @ as))
% 31.23/5.13 | ~ (subset @ (intersection @ bs @ as) @ (intersection @ as @ bs)))),
% 31.23/5.13 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl21])).
% 31.23/5.13 thf(member_of_intersection_is_member_of_set2, axiom,
% 31.23/5.13 (( ~( member @ X @ ( intersection @ Xs @ Ys ) ) ) | ( member @ X @ Ys ))).
% 31.23/5.13 thf(zip_derived_cl11, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X2))),
% 31.23/5.13 inference('cnf', [status(esa)],
% 31.23/5.13 [member_of_intersection_is_member_of_set2])).
% 31.23/5.13 thf(subsets_axiom1, axiom,
% 31.23/5.13 (( subset @ Subset @ Superset ) |
% 31.23/5.13 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 31.23/5.13 thf(zip_derived_cl2, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 ( (subset @ X0 @ X1)
% 31.23/5.13 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 31.23/5.13 inference('cnf', [status(esa)], [subsets_axiom1])).
% 31.23/5.13 thf(zip_derived_cl45, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 ( (member @ (member_of_1_not_of_2 @ (intersection @ X1 @ X0) @ X2) @
% 31.23/5.13 X0)
% 31.23/5.13 | (subset @ (intersection @ X1 @ X0) @ X2))),
% 31.23/5.13 inference('sup+', [status(thm)], [zip_derived_cl11, zip_derived_cl2])).
% 31.23/5.13 thf(member_of_intersection_is_member_of_set1, axiom,
% 31.23/5.13 (( ~( member @ X @ ( intersection @ Xs @ Ys ) ) ) | ( member @ X @ Xs ))).
% 31.23/5.13 thf(zip_derived_cl10, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 (~ (member @ X0 @ (intersection @ X1 @ X2)) | (member @ X0 @ X1))),
% 31.23/5.13 inference('cnf', [status(esa)],
% 31.23/5.13 [member_of_intersection_is_member_of_set1])).
% 31.23/5.13 thf(zip_derived_cl2, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 ( (subset @ X0 @ X1)
% 31.23/5.13 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 31.23/5.13 inference('cnf', [status(esa)], [subsets_axiom1])).
% 31.23/5.13 thf(zip_derived_cl43, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 ( (member @ (member_of_1_not_of_2 @ (intersection @ X1 @ X0) @ X2) @
% 31.23/5.13 X1)
% 31.23/5.13 | (subset @ (intersection @ X1 @ X0) @ X2))),
% 31.23/5.13 inference('sup+', [status(thm)], [zip_derived_cl10, zip_derived_cl2])).
% 31.23/5.13 thf(member_of_both_is_member_of_intersection, axiom,
% 31.23/5.13 (( ~( member @ X @ Xs ) ) | ( ~( member @ X @ Ys ) ) |
% 31.23/5.13 ( member @ X @ ( intersection @ Xs @ Ys ) ))).
% 31.23/5.13 thf(zip_derived_cl9, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 (~ (member @ X0 @ X1)
% 31.23/5.13 | ~ (member @ X0 @ X2)
% 31.23/5.13 | (member @ X0 @ (intersection @ X1 @ X2)))),
% 31.23/5.13 inference('cnf', [status(esa)],
% 31.23/5.13 [member_of_both_is_member_of_intersection])).
% 31.23/5.13 thf(subsets_axiom2, axiom,
% 31.23/5.13 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 31.23/5.13 ( subset @ Subset @ Superset ))).
% 31.23/5.13 thf(zip_derived_cl3, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 31.23/5.13 | (subset @ X0 @ X1))),
% 31.23/5.13 inference('cnf', [status(esa)], [subsets_axiom2])).
% 31.23/5.13 thf(zip_derived_cl74, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 (~ (member @ (member_of_1_not_of_2 @ X2 @ (intersection @ X1 @ X0)) @
% 31.23/5.13 X0)
% 31.23/5.13 | ~ (member @
% 31.23/5.13 (member_of_1_not_of_2 @ X2 @ (intersection @ X1 @ X0)) @ X1)
% 31.23/5.13 | (subset @ X2 @ (intersection @ X1 @ X0)))),
% 31.23/5.13 inference('sup-', [status(thm)], [zip_derived_cl9, zip_derived_cl3])).
% 31.23/5.13 thf(zip_derived_cl498, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 ( (subset @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0))
% 31.23/5.13 | (subset @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0))
% 31.23/5.13 | ~ (member @
% 31.23/5.13 (member_of_1_not_of_2 @ (intersection @ X0 @ X2) @
% 31.23/5.13 (intersection @ X1 @ X0)) @
% 31.23/5.13 X1))),
% 31.23/5.13 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl74])).
% 31.23/5.13 thf(zip_derived_cl504, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i, X2 : $i]:
% 31.23/5.13 (~ (member @
% 31.23/5.13 (member_of_1_not_of_2 @ (intersection @ X0 @ X2) @
% 31.23/5.13 (intersection @ X1 @ X0)) @
% 31.23/5.13 X1)
% 31.23/5.13 | (subset @ (intersection @ X0 @ X2) @ (intersection @ X1 @ X0)))),
% 31.23/5.13 inference('simplify', [status(thm)], [zip_derived_cl498])).
% 31.23/5.13 thf(zip_derived_cl8765, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 ( (subset @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))
% 31.23/5.13 | (subset @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1)))),
% 31.23/5.13 inference('sup-', [status(thm)], [zip_derived_cl45, zip_derived_cl504])).
% 31.23/5.13 thf(zip_derived_cl8777, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 (subset @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))),
% 31.23/5.13 inference('simplify', [status(thm)], [zip_derived_cl8765])).
% 31.23/5.13 thf(zip_derived_cl8777, plain,
% 31.23/5.13 (![X0 : $i, X1 : $i]:
% 31.23/5.13 (subset @ (intersection @ X1 @ X0) @ (intersection @ X0 @ X1))),
% 31.23/5.13 inference('simplify', [status(thm)], [zip_derived_cl8765])).
% 31.23/5.13 thf(zip_derived_cl32464, plain, ($false),
% 31.23/5.13 inference('demod', [status(thm)],
% 31.23/5.13 [zip_derived_cl54, zip_derived_cl8777, zip_derived_cl8777])).
% 31.23/5.13
% 31.23/5.13 % SZS output end Refutation
% 31.23/5.13
% 31.23/5.13
% 31.23/5.13 % Terminating...
% 31.23/5.15 % Runner terminated.
% 31.23/5.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------