TSTP Solution File: SET013-2 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : SET013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n008.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 : Mon Mar 25 14:30:40 EDT 2024
% Result : Unsatisfiable 15.06s 15.22s
% Output : Proof 15.06s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET013-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 21:42:43 EDT 2024
% 0.13/0.33 % CPUTime :
% 15.06/15.22 % SZS status Unsatisfiable for theBenchmark
% 15.06/15.22 % SZS output start Proof for theBenchmark
% 15.06/15.22
% 15.06/15.22 % Problem matrix:
% 15.06/15.22 cnf(matrix-0, plain, ( ~member(X, empty_set) )).
% 15.06/15.22 cnf(matrix-1, plain, ( ~member(Element, Subset) | ~subset(Subset, Superset) | member(Element, Superset) )).
% 15.06/15.22 cnf(matrix-2, plain, ( subset(Subset, Superset) | member(member_of_1_not_of_2(Subset, Superset), Subset) )).
% 15.06/15.22 cnf(matrix-3, plain, ( ~member(member_of_1_not_of_2(Subset, Superset), Superset) | subset(Subset, Superset) )).
% 15.06/15.22 cnf(matrix-4, plain, ( member(X, Xs) | member(X, complement(Xs)) )).
% 15.06/15.22 cnf(matrix-5, plain, ( ~member(X, Xs) | ~member(X, complement(Xs)) )).
% 15.06/15.22 cnf(matrix-6, plain, ( ~member(X, Xs) | member(X, union(Xs, Ys)) )).
% 15.06/15.22 cnf(matrix-7, plain, ( ~member(X, Ys) | member(X, union(Xs, Ys)) )).
% 15.06/15.22 cnf(matrix-8, plain, ( ~member(X, union(Xs, Ys)) | member(X, Xs) | member(X, Ys) )).
% 15.06/15.22 cnf(matrix-9, plain, ( ~member(X, Xs) | ~member(X, Ys) | member(X, intersection(Xs, Ys)) )).
% 15.06/15.22 cnf(matrix-10, plain, ( ~member(X, intersection(Xs, Ys)) | member(X, Xs) )).
% 15.06/15.22 cnf(matrix-11, plain, ( ~member(X, intersection(Xs, Ys)) | member(X, Ys) )).
% 15.06/15.22 cnf(matrix-12, plain, ( ~equal_sets(Subset, Superset) | subset(Subset, Superset) )).
% 15.06/15.22 cnf(matrix-13, plain, ( ~equal_sets(Superset, Subset) | subset(Subset, Superset) )).
% 15.06/15.22 cnf(matrix-14, plain, ( ~subset(Set1, Set2) | ~subset(Set2, Set1) | equal_sets(Set2, Set1) )).
% 15.06/15.22 cnf(matrix-15, plain, ( equal_sets(Xs, Xs) )).
% 15.06/15.22 cnf(matrix-16, plain, ( ~equal_sets(Xs, Ys) | equal_sets(Ys, Xs) )).
% 15.06/15.22 cnf(matrix-17, plain, ( ~equal_sets(Xs, Ys) | ~equal_sets(Ys, Zs) | equal_sets(Xs, Zs) )).
% 15.06/15.22 cnf(matrix-18, plain, ( equal_elements(X, X) )).
% 15.06/15.22 cnf(matrix-19, plain, ( ~equal_elements(X, Y) | equal_elements(Y, X) )).
% 15.06/15.22 cnf(matrix-20, plain, ( ~equal_elements(X, Y) | ~equal_elements(Y, Z) | equal_elements(X, Z) )).
% 15.06/15.22 cnf(matrix-21, plain, ( equal_sets(intersection(as, bs), cs) )).
% 15.06/15.22 cnf(matrix-22, plain, ( equal_sets(intersection(bs, as), ds) )).
% 15.06/15.22 cnf(matrix-23, plain, ( ~equal_sets(cs, ds) )).
% 15.06/15.22
% 15.06/15.22 % Proof stack:
% 15.06/15.22 cnf(proof-stack, plain,
% 15.06/15.22 proof_stack(
% 15.06/15.22 start(23),
% 15.06/15.22 left_branch(0, 17, 2, 2),
% 15.06/15.22 left_branch(0, 16, 1, 3),
% 15.06/15.22 left_branch(0, 21, 0, 4),
% 15.06/15.22 right_branch(4),
% 15.06/15.22 right_branch(3),
% 15.06/15.22 left_branch(0, 16, 1, 4),
% 15.06/15.22 left_branch(0, 17, 2, 5),
% 15.06/15.22 left_branch(0, 16, 1, 6),
% 15.06/15.22 left_branch(0, 22, 0, 7),
% 15.06/15.22 right_branch(7),
% 15.06/15.22 right_branch(6),
% 15.06/15.22 left_branch(0, 14, 2, 7),
% 15.06/15.22 left_branch(0, 3, 1, 8),
% 15.06/15.22 left_branch(0, 9, 2, 9),
% 15.06/15.22 left_branch(0, 11, 1, 10),
% 15.06/15.22 left_branch(0, 2, 1, 11),
% 15.06/15.22 reduction(0, 4),
% 15.06/15.22 right_branch(11),
% 15.06/15.22 right_branch(10),
% 15.06/15.22 left_branch(0, 10, 1, 11),
% 15.06/15.22 left_branch(0, 2, 1, 12),
% 15.06/15.22 reduction(0, 4),
% 15.06/15.22 right_branch(12),
% 15.06/15.22 right_branch(11),
% 15.06/15.22 right_branch(9),
% 15.06/15.22 right_branch(8),
% 15.06/15.22 left_branch(0, 3, 1, 9),
% 15.06/15.22 left_branch(0, 9, 2, 10),
% 15.06/15.22 left_branch(0, 11, 1, 11),
% 15.06/15.22 left_branch(0, 2, 1, 12),
% 15.06/15.22 reduction(0, 4),
% 15.06/15.22 right_branch(12),
% 15.06/15.22 right_branch(11),
% 15.06/15.22 left_branch(0, 10, 1, 12),
% 15.06/15.22 left_branch(0, 2, 1, 13),
% 15.06/15.22 reduction(0, 4),
% 15.06/15.22 right_branch(13),
% 15.06/15.22 right_branch(12),
% 15.06/15.22 right_branch(10),
% 15.06/15.22 right_branch(9),
% 15.06/15.22 right_branch(7),
% 15.06/15.22 right_branch(5),
% 15.06/15.22 right_branch(4),
% 15.06/15.22 right_branch(2)
% 15.06/15.22 )).
% 15.06/15.22 % SZS output end Proof for theBenchmark
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