TSTP Solution File: SET015-1 by Zipperpin---2.1.9999
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- Process Solution
%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SET015-1 : 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.u6Q8Yu5V50 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 16:11:44 EDT 2023
% Result : Unsatisfiable 21.29s 3.72s
% Output : Refutation 21.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET015-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.12/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.u6Q8Yu5V50 true
% 0.13/0.34 % Computer : n002.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 12:37:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running portfolio for 300 s
% 0.13/0.34 % 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
% 0.20/0.66 % Total configuration time : 435
% 0.20/0.66 % Estimated wc time : 1092
% 0.20/0.66 % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.70 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.73 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.74 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.08/0.75 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 21.29/3.72 % Solved by fo/fo3_bce.sh.
% 21.29/3.72 % BCE start: 22
% 21.29/3.72 % BCE eliminated: 0
% 21.29/3.72 % PE start: 22
% 21.29/3.72 logic: neq
% 21.29/3.72 % PE eliminated: 0
% 21.29/3.72 % done 3036 iterations in 2.952s
% 21.29/3.72 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 21.29/3.72 % SZS output start Refutation
% 21.29/3.72 thf(equal_sets_type, type, equal_sets: $i > $i > $o).
% 21.29/3.72 thf(union_type, type, union: $i > $i > $i).
% 21.29/3.72 thf(subset_type, type, subset: $i > $i > $o).
% 21.29/3.72 thf(bs_type, type, bs: $i).
% 21.29/3.72 thf(member_type, type, member: $i > $i > $o).
% 21.29/3.72 thf(as_type, type, as: $i).
% 21.29/3.72 thf(member_of_1_not_of_2_type, type, member_of_1_not_of_2: $i > $i > $i).
% 21.29/3.72 thf(subsets_are_set_equal_sets, axiom,
% 21.29/3.72 (( ~( subset @ Set1 @ Set2 ) ) | ( ~( subset @ Set2 @ Set1 ) ) |
% 21.29/3.72 ( equal_sets @ Set2 @ Set1 ))).
% 21.29/3.72 thf(zip_derived_cl14, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]:
% 21.29/3.72 (~ (subset @ X0 @ X1) | ~ (subset @ X1 @ X0) | (equal_sets @ X1 @ X0))),
% 21.29/3.72 inference('cnf', [status(esa)], [subsets_are_set_equal_sets])).
% 21.29/3.72 thf(prove_commutativity, conjecture,
% 21.29/3.72 (equal_sets @ ( union @ as @ bs ) @ ( union @ bs @ as ))).
% 21.29/3.72 thf(zf_stmt_0, negated_conjecture,
% 21.29/3.72 (~( equal_sets @ ( union @ as @ bs ) @ ( union @ bs @ as ) )),
% 21.29/3.72 inference('cnf.neg', [status(esa)], [prove_commutativity])).
% 21.29/3.72 thf(zip_derived_cl21, plain,
% 21.29/3.72 (~ (equal_sets @ (union @ as @ bs) @ (union @ bs @ as))),
% 21.29/3.72 inference('cnf', [status(esa)], [zf_stmt_0])).
% 21.29/3.72 thf(zip_derived_cl63, plain,
% 21.29/3.72 ((~ (subset @ (union @ as @ bs) @ (union @ bs @ as))
% 21.29/3.72 | ~ (subset @ (union @ bs @ as) @ (union @ as @ bs)))),
% 21.29/3.72 inference('sup-', [status(thm)], [zip_derived_cl14, zip_derived_cl21])).
% 21.29/3.72 thf(member_of_set2_is_member_of_union, axiom,
% 21.29/3.72 (( ~( member @ X @ Ys ) ) | ( member @ X @ ( union @ Xs @ Ys ) ))).
% 21.29/3.72 thf(zip_derived_cl7, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 (~ (member @ X0 @ X1) | (member @ X0 @ (union @ X2 @ X1)))),
% 21.29/3.72 inference('cnf', [status(esa)], [member_of_set2_is_member_of_union])).
% 21.29/3.72 thf(subsets_axiom2, axiom,
% 21.29/3.72 (( ~( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Superset ) ) |
% 21.29/3.72 ( subset @ Subset @ Superset ))).
% 21.29/3.72 thf(zip_derived_cl3, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]:
% 21.29/3.72 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 21.29/3.72 | (subset @ X0 @ X1))),
% 21.29/3.72 inference('cnf', [status(esa)], [subsets_axiom2])).
% 21.29/3.72 thf(zip_derived_cl53, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 (~ (member @ (member_of_1_not_of_2 @ X2 @ (union @ X1 @ X0)) @ X0)
% 21.29/3.72 | (subset @ X2 @ (union @ X1 @ X0)))),
% 21.29/3.72 inference('sup-', [status(thm)], [zip_derived_cl7, zip_derived_cl3])).
% 21.29/3.72 thf(member_of_set1_is_member_of_union, axiom,
% 21.29/3.72 (( ~( member @ X @ Xs ) ) | ( member @ X @ ( union @ Xs @ Ys ) ))).
% 21.29/3.72 thf(zip_derived_cl6, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 (~ (member @ X0 @ X1) | (member @ X0 @ (union @ X1 @ X2)))),
% 21.29/3.72 inference('cnf', [status(esa)], [member_of_set1_is_member_of_union])).
% 21.29/3.72 thf(zip_derived_cl3, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]:
% 21.29/3.72 (~ (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X1)
% 21.29/3.72 | (subset @ X0 @ X1))),
% 21.29/3.72 inference('cnf', [status(esa)], [subsets_axiom2])).
% 21.29/3.72 thf(zip_derived_cl50, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 (~ (member @ (member_of_1_not_of_2 @ X2 @ (union @ X1 @ X0)) @ X1)
% 21.29/3.72 | (subset @ X2 @ (union @ X1 @ X0)))),
% 21.29/3.72 inference('sup-', [status(thm)], [zip_derived_cl6, zip_derived_cl3])).
% 21.29/3.72 thf(member_of_union_is_member_of_one_set, axiom,
% 21.29/3.72 (( ~( member @ X @ ( union @ Xs @ Ys ) ) ) | ( member @ X @ Xs ) |
% 21.29/3.72 ( member @ X @ Ys ))).
% 21.29/3.72 thf(zip_derived_cl8, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 (~ (member @ X0 @ (union @ X1 @ X2))
% 21.29/3.72 | (member @ X0 @ X1)
% 21.29/3.72 | (member @ X0 @ X2))),
% 21.29/3.72 inference('cnf', [status(esa)], [member_of_union_is_member_of_one_set])).
% 21.29/3.72 thf(subsets_axiom1, axiom,
% 21.29/3.72 (( subset @ Subset @ Superset ) |
% 21.29/3.72 ( member @ ( member_of_1_not_of_2 @ Subset @ Superset ) @ Subset ))).
% 21.29/3.72 thf(zip_derived_cl2, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]:
% 21.29/3.72 ( (subset @ X0 @ X1)
% 21.29/3.72 | (member @ (member_of_1_not_of_2 @ X0 @ X1) @ X0))),
% 21.29/3.72 inference('cnf', [status(esa)], [subsets_axiom1])).
% 21.29/3.72 thf(zip_derived_cl69, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 ( (member @ (member_of_1_not_of_2 @ (union @ X1 @ X0) @ X2) @ X0)
% 21.29/3.72 | (member @ (member_of_1_not_of_2 @ (union @ X1 @ X0) @ X2) @ X1)
% 21.29/3.72 | (subset @ (union @ X1 @ X0) @ X2))),
% 21.29/3.72 inference('sup+', [status(thm)], [zip_derived_cl8, zip_derived_cl2])).
% 21.29/3.72 thf(zip_derived_cl464, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 ( (subset @ (union @ X2 @ X0) @ (union @ X0 @ X1))
% 21.29/3.72 | (subset @ (union @ X2 @ X0) @ (union @ X0 @ X1))
% 21.29/3.72 | (member @
% 21.29/3.72 (member_of_1_not_of_2 @ (union @ X2 @ X0) @ (union @ X0 @ X1)) @
% 21.29/3.72 X2))),
% 21.29/3.72 inference('sup+', [status(thm)], [zip_derived_cl50, zip_derived_cl69])).
% 21.29/3.72 thf(zip_derived_cl477, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i, X2 : $i]:
% 21.29/3.72 ( (member @
% 21.29/3.72 (member_of_1_not_of_2 @ (union @ X2 @ X0) @ (union @ X0 @ X1)) @ X2)
% 21.29/3.72 | (subset @ (union @ X2 @ X0) @ (union @ X0 @ X1)))),
% 21.29/3.72 inference('simplify', [status(thm)], [zip_derived_cl464])).
% 21.29/3.72 thf(zip_derived_cl8613, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]:
% 21.29/3.72 ( (subset @ (union @ X0 @ X1) @ (union @ X1 @ X0))
% 21.29/3.72 | (subset @ (union @ X0 @ X1) @ (union @ X1 @ X0)))),
% 21.29/3.72 inference('sup+', [status(thm)], [zip_derived_cl53, zip_derived_cl477])).
% 21.29/3.72 thf(zip_derived_cl8620, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]: (subset @ (union @ X0 @ X1) @ (union @ X1 @ X0))),
% 21.29/3.72 inference('simplify', [status(thm)], [zip_derived_cl8613])).
% 21.29/3.72 thf(zip_derived_cl8620, plain,
% 21.29/3.72 (![X0 : $i, X1 : $i]: (subset @ (union @ X0 @ X1) @ (union @ X1 @ X0))),
% 21.29/3.72 inference('simplify', [status(thm)], [zip_derived_cl8613])).
% 21.29/3.72 thf(zip_derived_cl28273, plain, ($false),
% 21.29/3.72 inference('demod', [status(thm)],
% 21.29/3.72 [zip_derived_cl63, zip_derived_cl8620, zip_derived_cl8620])).
% 21.29/3.72
% 21.29/3.72 % SZS output end Refutation
% 21.29/3.72
% 21.29/3.72
% 21.29/3.72 % Terminating...
% 21.29/3.76 % Runner terminated.
% 21.29/3.78 % Zipperpin 1.5 exiting
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