TSTP Solution File: SET011-1 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : SET011-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n014.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 5.38s 5.54s
% Output : Proof 5.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET011-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n014.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 Mar 20 21:20:15 EDT 2024
% 0.20/0.35 % CPUTime :
% 5.38/5.54 % SZS status Unsatisfiable for theBenchmark
% 5.38/5.54 % SZS output start Proof for theBenchmark
% 5.38/5.54
% 5.38/5.54 % Problem matrix:
% 5.38/5.54 cnf(matrix-0, plain, ( ~member(Element, Subset) | ~subset(Subset, Superset) | member(Element, Superset) )).
% 5.38/5.54 cnf(matrix-1, plain, ( subset(Subset, Superset) | member(member_of_1_not_of_2(Subset, Superset), Subset) )).
% 5.38/5.54 cnf(matrix-2, plain, ( ~member(member_of_1_not_of_2(Subset, Superset), Superset) | subset(Subset, Superset) )).
% 5.38/5.54 cnf(matrix-3, plain, ( ~equal_sets(Subset, Superset) | subset(Subset, Superset) )).
% 5.38/5.54 cnf(matrix-4, plain, ( ~equal_sets(Superset, Subset) | subset(Subset, Superset) )).
% 5.38/5.54 cnf(matrix-5, plain, ( ~subset(Set1, Set2) | ~subset(Set2, Set1) | equal_sets(Set2, Set1) )).
% 5.38/5.54 cnf(matrix-6, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Intersection) | member(Element, Set1) )).
% 5.38/5.54 cnf(matrix-7, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Intersection) | member(Element, Set2) )).
% 5.38/5.54 cnf(matrix-8, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Set2) | ~member(Element, Set1) | member(Element, Intersection) )).
% 5.38/5.54 cnf(matrix-9, plain, ( member(h(Set1, Set2, Intersection), Intersection) | intersection(Set1, Set2, Intersection) | member(h(Set1, Set2, Intersection), Set1) )).
% 5.38/5.54 cnf(matrix-10, plain, ( member(h(Set1, Set2, Intersection), Intersection) | intersection(Set1, Set2, Intersection) | member(h(Set1, Set2, Intersection), Set2) )).
% 5.38/5.54 cnf(matrix-11, plain, ( ~member(h(Set1, Set2, Intersection), Intersection) | ~member(h(Set1, Set2, Intersection), Set2) | ~member(h(Set1, Set2, Intersection), Set1) | intersection(Set1, Set2, Intersection) )).
% 5.38/5.54 cnf(matrix-12, plain, ( ~difference(Set1, Set2, Difference) | ~member(Element, Difference) | member(Element, Set1) )).
% 5.38/5.54 cnf(matrix-13, plain, ( ~member(Element, Set1) | ~member(Element, Set2) | ~difference(A_set, Set1, Set2) )).
% 5.38/5.54 cnf(matrix-14, plain, ( ~member(Element, Set1) | ~difference(Set1, Set2, Difference) | member(Element, Difference) | member(Element, Set2) )).
% 5.38/5.54 cnf(matrix-15, plain, ( difference(Set1, Set2, Difference) | member(k(Set1, Set2, Difference), Set1) | member(k(Set1, Set2, Difference), Difference) )).
% 5.38/5.54 cnf(matrix-16, plain, ( ~member(k(Set1, Set2, Difference), Set2) | member(k(Set1, Set2, Difference), Difference) | difference(Set1, Set2, Difference) )).
% 5.38/5.54 cnf(matrix-17, plain, ( ~member(k(Set1, Set2, Difference), Difference) | ~member(k(Set1, Set2, Difference), Set1) | member(k(Set1, Set2, Difference), Set2) | difference(Set1, Set2, Difference) )).
% 5.38/5.54 cnf(matrix-18, plain, ( difference(a, b, aDb) )).
% 5.38/5.54 cnf(matrix-19, plain, ( difference(a, aDb, aD_aDb) )).
% 5.38/5.54 cnf(matrix-20, plain, ( ~intersection(a, b, aD_aDb) )).
% 5.38/5.54
% 5.38/5.54 % Proof stack:
% 5.38/5.54 cnf(proof-stack, plain,
% 5.38/5.54 proof_stack(
% 5.38/5.54 start(13),
% 5.38/5.54 left_branch(0, 14, 3, 2),
% 5.38/5.54 left_branch(0, 12, 2, 3),
% 5.38/5.54 left_branch(0, 19, 0, 4),
% 5.38/5.54 right_branch(4),
% 5.38/5.54 left_branch(0, 10, 0, 5),
% 5.38/5.54 reduction(0, 0),
% 5.38/5.54 left_branch(0, 20, 0, 7),
% 5.38/5.54 right_branch(7),
% 5.38/5.54 right_branch(5),
% 5.38/5.54 right_branch(3),
% 5.38/5.54 left_branch(0, 13, 0, 4),
% 5.38/5.54 left_branch(0, 19, 0, 5),
% 5.38/5.54 right_branch(5),
% 5.38/5.54 left_branch(0, 10, 0, 6),
% 5.38/5.54 reduction(0, 0),
% 5.38/5.54 left_branch(0, 20, 0, 8),
% 5.38/5.54 right_branch(8),
% 5.38/5.54 right_branch(6),
% 5.38/5.54 right_branch(4),
% 5.38/5.54 left_branch(0, 18, 0, 5),
% 5.38/5.54 right_branch(5),
% 5.38/5.54 right_branch(2),
% 5.38/5.54 left_branch(0, 18, 0, 3),
% 5.38/5.54 right_branch(3),
% 5.38/5.54 left_branch(0, 14, 3, 4),
% 5.38/5.54 left_branch(0, 14, 2, 5),
% 5.38/5.54 left_branch(0, 9, 2, 6),
% 5.38/5.54 reduction(0, 1),
% 5.38/5.54 left_branch(0, 20, 0, 8),
% 5.38/5.54 right_branch(8),
% 5.38/5.54 right_branch(6),
% 5.38/5.54 reduction(0, 0),
% 5.38/5.54 left_branch(0, 19, 0, 8),
% 5.38/5.54 right_branch(8),
% 5.38/5.54 right_branch(5),
% 5.38/5.54 left_branch(0, 12, 1, 6),
% 5.38/5.54 left_branch(0, 19, 0, 7),
% 5.38/5.54 right_branch(7),
% 5.38/5.54 left_branch(0, 11, 2, 8),
% 5.38/5.54 lemmata(0, 2),
% 5.38/5.54 left_branch(0, 20, 0, 10),
% 5.38/5.54 right_branch(10),
% 5.38/5.54 lemmata(0, 0),
% 5.38/5.54 right_branch(8),
% 5.38/5.54 right_branch(6),
% 5.38/5.54 left_branch(0, 17, 3, 7),
% 5.38/5.54 left_branch(0, 15, 2, 8),
% 5.38/5.54 reduction(0, 1),
% 5.38/5.54 reduction(0, 2),
% 5.38/5.54 right_branch(8),
% 5.38/5.54 left_branch(0, 13, 0, 9),
% 5.38/5.54 left_branch(0, 19, 0, 10),
% 5.38/5.54 right_branch(10),
% 5.38/5.54 lemmata(0, 4),
% 5.38/5.54 right_branch(9),
% 5.38/5.54 lemmata(0, 4),
% 5.38/5.54 right_branch(7),
% 5.38/5.54 right_branch(4)
% 5.38/5.54 )).
% 5.38/5.54 % SZS output end Proof for theBenchmark
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