TSTP Solution File: SET012-2 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : NO INFORMATION
% Format : NO INFORMATION
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2kLJCiRYjZ true
% Computer : n002.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 Aug 31 16:11:39 EDT 2023
% Result : Unsatisfiable 0.56s 0.82s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2kLJCiRYjZ true
% 0.14/0.35 % Computer : n002.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 15:57:18 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.36 % Running in FO mode
% 0.21/0.63 % Total configuration time : 435
% 0.21/0.63 % Estimated wc time : 1092
% 0.21/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.73 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.55/0.74 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.55/0.76 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.56/0.82 % Solved by fo/fo7.sh.
% 0.56/0.82 % done 153 iterations in 0.047s
% 0.56/0.82 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.82 % SZS output start Refutation
% 0.56/0.82 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 0.56/0.82 thf(subset_type, type, subset: $i > $i > $o).
% 0.56/0.82 thf(complement_type, type, complement: $i > $i).
% 0.56/0.82 thf(b_type, type, b: $i).
% 0.56/0.82 thf(c_type, type, c: $i).
% 0.56/0.82 thf(member_type, type, member: $i > $i > $o).
% 0.56/0.82 thf(a_type, type, a: $i).
% 0.56/0.82 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 0.56/0.82 thf(subsets_are_set_equal_sets, axiom,
% 0.56/0.82 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 0.56/0.82 ( equal_sets @ Set2 @ Set1 ))).
% 0.56/0.82 thf(zip_derived_cl14, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 0.56/0.82 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 0.56/0.82 thf(prove_a_equals_c, conjecture, (equal_sets @ a @ c)).
% 0.56/0.82 thf(zf_stmt_0, negated_conjecture, (~( equal_sets @ a @ c )),
% 0.56/0.82 inference('cnf.neg', [status(esa)], [prove_a_equals_c])).
% 0.56/0.82 thf(zip_derived_cl23, plain, (~ (equal_sets @ a @ c)),
% 0.56/0.82 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.56/0.82 thf(zip_derived_cl66, plain, ((~ (subset @ a @ c) | ~ (subset @ c @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl23])).
% 0.56/0.82 thf(member_of_set_or_complement, axiom,
% 0.56/0.82 (( member @ X @ Xs ) | ( member @ X @ ( complement @ Xs ) ))).
% 0.56/0.82 thf(zip_derived_cl4, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 ( (member @ X0 @ X1) | (member @ X0 @ (complement @ X1)))),
% 0.56/0.82 inference('cnf', [status(esa)], [member_of_set_or_complement])).
% 0.56/0.82 thf(complement_of_a_is_b, axiom, (equal_sets @ ( complement @ a ) @ b)).
% 0.56/0.82 thf(zip_derived_cl21, plain, ( (equal_sets @ (complement @ a) @ b)),
% 0.56/0.82 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.56/0.82 thf(set_equal_sets_are_subsets1, axiom,
% 0.56/0.82 (( ~( equal_sets @ Subset @ Superset ) ) | ( subset @ Subset @ Superset ))).
% 0.56/0.82 thf(zip_derived_cl12, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X0 @ X1))),
% 0.56/0.82 inference('cnf', [status(esa)], [set_equal_sets_are_subsets1])).
% 0.56/0.82 thf(zip_derived_cl34, plain, ( (subset @ (complement @ a) @ b)),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl12])).
% 0.56/0.82 thf(membership_in_subsets, axiom,
% 0.56/0.82 (( ~( member @ Element @ Subset ) ) |
% 0.56/0.82 ( ~( subset @ Subset @ Superset ) ) | ( member @ Element @ Superset ))).
% 0.56/0.82 thf(zip_derived_cl1, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 0.56/0.82 inference('cnf', [status(esa)], [membership_in_subsets])).
% 0.56/0.82 thf(zip_derived_cl42, plain,
% 0.56/0.82 (![X0 : $i]: ( (member @ X0 @ b) | ~ (member @ X0 @ (complement @ a)))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl34, zip_derived_cl1])).
% 0.56/0.82 thf(zip_derived_cl87, plain,
% 0.56/0.82 (![X0 : $i]: ( (member @ X0 @ a) | (member @ X0 @ b))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl42])).
% 0.56/0.82 thf(subsets_axiom2, axiom,
% 0.56/0.82 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 0.56/0.82 ( subset @ Subset @ Superset ))).
% 0.56/0.82 thf(zip_derived_cl3, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.56/0.82 | (subset @ X0 @ X1))),
% 0.56/0.82 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.56/0.82 thf(zip_derived_cl89, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 ( (member @ (member_of_1_not_of_2 @ X0 @ a) @ b) | (subset @ X0 @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl87, zip_derived_cl3])).
% 0.56/0.82 thf(subsets_axiom1, axiom,
% 0.56/0.82 (( subset @ Subset @ Superset ) |
% 0.56/0.82 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 0.56/0.82 thf(zip_derived_cl2, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 ( (subset @ X0 @ X1)
% 0.56/0.82 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.56/0.82 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.56/0.82 thf(complement_of_b_is_c, axiom, (equal_sets @ ( complement @ b ) @ c)).
% 0.56/0.82 thf(zip_derived_cl22, plain, ( (equal_sets @ (complement @ b) @ c)),
% 0.56/0.82 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.56/0.82 thf(set_equal_sets_are_subsets2, axiom,
% 0.56/0.82 (( ~( equal_sets @ Superset @ Subset ) ) | ( subset @ Subset @ Superset ))).
% 0.56/0.82 thf(zip_derived_cl13, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X1 @ X0))),
% 0.56/0.82 inference('cnf', [status(esa)], [set_equal_sets_are_subsets2])).
% 0.56/0.82 thf(zip_derived_cl39, plain, ( (subset @ c @ (complement @ b))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl13])).
% 0.56/0.82 thf(zip_derived_cl1, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 0.56/0.82 inference('cnf', [status(esa)], [membership_in_subsets])).
% 0.56/0.82 thf(zip_derived_cl49, plain,
% 0.56/0.82 (![X0 : $i]: ( (member @ X0 @ (complement @ b)) | ~ (member @ X0 @ c))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl39, zip_derived_cl1])).
% 0.56/0.82 thf(zip_derived_cl95, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 ( (subset @ c @ X0)
% 0.56/0.82 | (member @ (member_of_1_not_of_2 @ c @ X0) @ (complement @ b)))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl49])).
% 0.56/0.82 thf(not_member_of_set_and_complement, axiom,
% 0.56/0.82 (( ~( member @ X @ Xs ) ) | ( ~( member @ X @ ( complement @ Xs ) ) ))).
% 0.56/0.82 thf(zip_derived_cl5, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (member @ X0 @ (complement @ X1)))),
% 0.56/0.82 inference('cnf', [status(esa)], [not_member_of_set_and_complement])).
% 0.56/0.82 thf(zip_derived_cl132, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 ( (subset @ c @ X0) | ~ (member @ (member_of_1_not_of_2 @ c @ X0) @ b))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl95, zip_derived_cl5])).
% 0.56/0.82 thf(zip_derived_cl155, plain, (( (subset @ c @ a) | (subset @ c @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl89, zip_derived_cl132])).
% 0.56/0.82 thf(zip_derived_cl157, plain, ( (subset @ c @ a)),
% 0.56/0.82 inference('simplify', [status(thm)], [zip_derived_cl155])).
% 0.56/0.82 thf(zip_derived_cl174, plain, (~ (subset @ a @ c)),
% 0.56/0.82 inference('demod', [status(thm)], [zip_derived_cl66, zip_derived_cl157])).
% 0.56/0.82 thf(zip_derived_cl2, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 ( (subset @ X0 @ X1)
% 0.56/0.82 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 0.56/0.82 inference('cnf', [status(esa)], [subsets_axiom1])).
% 0.56/0.82 thf(zip_derived_cl4, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 ( (member @ X0 @ X1) | (member @ X0 @ (complement @ X1)))),
% 0.56/0.82 inference('cnf', [status(esa)], [member_of_set_or_complement])).
% 0.56/0.82 thf(zip_derived_cl22, plain, ( (equal_sets @ (complement @ b) @ c)),
% 0.56/0.82 inference('cnf', [status(esa)], [complement_of_b_is_c])).
% 0.56/0.82 thf(zip_derived_cl12, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X0 @ X1))),
% 0.56/0.82 inference('cnf', [status(esa)], [set_equal_sets_are_subsets1])).
% 0.56/0.82 thf(zip_derived_cl38, plain, ( (subset @ (complement @ b) @ c)),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl22, zip_derived_cl12])).
% 0.56/0.82 thf(zip_derived_cl1, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 0.56/0.82 inference('cnf', [status(esa)], [membership_in_subsets])).
% 0.56/0.82 thf(zip_derived_cl48, plain,
% 0.56/0.82 (![X0 : $i]: ( (member @ X0 @ c) | ~ (member @ X0 @ (complement @ b)))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl38, zip_derived_cl1])).
% 0.56/0.82 thf(zip_derived_cl3, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 0.56/0.82 | (subset @ X0 @ X1))),
% 0.56/0.82 inference('cnf', [status(esa)], [subsets_axiom2])).
% 0.56/0.82 thf(zip_derived_cl124, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 (~ (member @ (member_of_1_not_of_2 @ X0 @ c) @ (complement @ b))
% 0.56/0.82 | (subset @ X0 @ c))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl48, zip_derived_cl3])).
% 0.56/0.82 thf(zip_derived_cl161, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 ( (member @ (member_of_1_not_of_2 @ X0 @ c) @ b) | (subset @ X0 @ c))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl4, zip_derived_cl124])).
% 0.56/0.82 thf(zip_derived_cl21, plain, ( (equal_sets @ (complement @ a) @ b)),
% 0.56/0.82 inference('cnf', [status(esa)], [complement_of_a_is_b])).
% 0.56/0.82 thf(zip_derived_cl13, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]: (~ (equal_sets @ X0 @ X1) | (subset @ X1 @ X0))),
% 0.56/0.82 inference('cnf', [status(esa)], [set_equal_sets_are_subsets2])).
% 0.56/0.82 thf(zip_derived_cl35, plain, ( (subset @ b @ (complement @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl21, zip_derived_cl13])).
% 0.56/0.82 thf(zip_derived_cl1, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (subset @ X1 @ X2) | (member @ X0 @ X2))),
% 0.56/0.82 inference('cnf', [status(esa)], [membership_in_subsets])).
% 0.56/0.82 thf(zip_derived_cl43, plain,
% 0.56/0.82 (![X0 : $i]: ( (member @ X0 @ (complement @ a)) | ~ (member @ X0 @ b))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl35, zip_derived_cl1])).
% 0.56/0.82 thf(zip_derived_cl5, plain,
% 0.56/0.82 (![X0 : $i, X1 : $i]:
% 0.56/0.82 (~ (member @ X0 @ X1) | ~ (member @ X0 @ (complement @ X1)))),
% 0.56/0.82 inference('cnf', [status(esa)], [not_member_of_set_and_complement])).
% 0.56/0.82 thf(zip_derived_cl120, plain,
% 0.56/0.82 (![X0 : $i]: (~ (member @ X0 @ b) | ~ (member @ X0 @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl43, zip_derived_cl5])).
% 0.56/0.82 thf(zip_derived_cl263, plain,
% 0.56/0.82 (![X0 : $i]:
% 0.56/0.82 ( (subset @ X0 @ c) | ~ (member @ (member_of_1_not_of_2 @ X0 @ c) @ a))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl161, zip_derived_cl120])).
% 0.56/0.82 thf(zip_derived_cl272, plain, (( (subset @ a @ c) | (subset @ a @ c))),
% 0.56/0.82 inference('sup-', [status(thm)], [zip_derived_cl2, zip_derived_cl263])).
% 0.56/0.82 thf(zip_derived_cl274, plain, ( (subset @ a @ c)),
% 0.56/0.82 inference('simplify', [status(thm)], [zip_derived_cl272])).
% 0.56/0.82 thf(zip_derived_cl276, plain, ($false),
% 0.56/0.82 inference('demod', [status(thm)], [zip_derived_cl174, zip_derived_cl274])).
% 0.56/0.82
% 0.56/0.82 % SZS output end Refutation
% 0.56/0.82
% 0.56/0.82
% 0.56/0.82 % Terminating...
% 0.59/0.97 % Runner terminated.
% 0.59/0.98 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------