TSTP Solution File: SET007-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET007-1 : 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 : n018.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 14:30:39 EDT 2024
% Result : Unsatisfiable 0.57s 0.74s
% Output : Proof 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 21:40:28 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.57/0.74 % SZS status Unsatisfiable for theBenchmark
% 0.57/0.74 % SZS output start Proof for theBenchmark
% 0.57/0.74
% 0.57/0.74 % Problem matrix:
% 0.57/0.74 cnf(matrix-0, plain, ( ~member(Element, Subset) | ~subset(Subset, Superset) | member(Element, Superset) )).
% 0.57/0.74 cnf(matrix-1, plain, ( subset(Subset, Superset) | member(member_of_1_not_of_2(Subset, Superset), Subset) )).
% 0.57/0.74 cnf(matrix-2, plain, ( ~member(member_of_1_not_of_2(Subset, Superset), Superset) | subset(Subset, Superset) )).
% 0.57/0.74 cnf(matrix-3, plain, ( ~equal_sets(Subset, Superset) | subset(Subset, Superset) )).
% 0.57/0.74 cnf(matrix-4, plain, ( ~equal_sets(Superset, Subset) | subset(Subset, Superset) )).
% 0.57/0.74 cnf(matrix-5, plain, ( ~subset(Set1, Set2) | ~subset(Set2, Set1) | equal_sets(Set2, Set1) )).
% 0.57/0.74 cnf(matrix-6, plain, ( ~union(Set1, Set2, Union) | ~member(Element, Union) | member(Element, Set1) | member(Element, Set2) )).
% 0.57/0.74 cnf(matrix-7, plain, ( ~union(Set1, Set2, Union) | ~member(Element, Set1) | member(Element, Union) )).
% 0.57/0.74 cnf(matrix-8, plain, ( ~union(Set1, Set2, Union) | ~member(Element, Set2) | member(Element, Union) )).
% 0.57/0.74 cnf(matrix-9, plain, ( union(Set1, Set2, Union) | member(g(Set1, Set2, Union), Set1) | member(g(Set1, Set2, Union), Set2) | member(g(Set1, Set2, Union), Union) )).
% 0.57/0.74 cnf(matrix-10, plain, ( ~member(g(Set1, Set2, Union), Set1) | ~member(g(Set1, Set2, Union), Union) | union(Set1, Set2, Union) )).
% 0.57/0.74 cnf(matrix-11, plain, ( ~member(g(Set1, Set2, Union), Set2) | ~member(g(Set1, Set2, Union), Union) | union(Set1, Set2, Union) )).
% 0.57/0.74 cnf(matrix-12, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Intersection) | member(Element, Set1) )).
% 0.57/0.74 cnf(matrix-13, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Intersection) | member(Element, Set2) )).
% 0.57/0.74 cnf(matrix-14, plain, ( ~intersection(Set1, Set2, Intersection) | ~member(Element, Set2) | ~member(Element, Set1) | member(Element, Intersection) )).
% 0.57/0.74 cnf(matrix-15, plain, ( member(h(Set1, Set2, Intersection), Intersection) | intersection(Set1, Set2, Intersection) | member(h(Set1, Set2, Intersection), Set1) )).
% 0.57/0.74 cnf(matrix-16, plain, ( member(h(Set1, Set2, Intersection), Intersection) | intersection(Set1, Set2, Intersection) | member(h(Set1, Set2, Intersection), Set2) )).
% 0.57/0.74 cnf(matrix-17, plain, ( ~member(h(Set1, Set2, Intersection), Intersection) | ~member(h(Set1, Set2, Intersection), Set2) | ~member(h(Set1, Set2, Intersection), Set1) | intersection(Set1, Set2, Intersection) )).
% 0.57/0.74 cnf(matrix-18, plain, ( union(b, c, bUc) )).
% 0.57/0.74 cnf(matrix-19, plain, ( intersection(a, b, aIb) )).
% 0.57/0.74 cnf(matrix-20, plain, ( intersection(a, c, aIc) )).
% 0.57/0.74 cnf(matrix-21, plain, ( intersection(a, bUc, aI_bUc) )).
% 0.57/0.74 cnf(matrix-22, plain, ( ~union(aIb, aIc, aI_bUc) )).
% 0.57/0.74
% 0.57/0.74 % Proof stack:
% 0.57/0.74 cnf(proof-stack, plain,
% 0.57/0.74 proof_stack(
% 0.57/0.74 start(22),
% 0.57/0.74 left_branch(0, 9, 0, 2),
% 0.57/0.74 left_branch(0, 13, 1, 3),
% 0.57/0.74 left_branch(0, 21, 0, 4),
% 0.57/0.74 right_branch(4),
% 0.57/0.74 left_branch(0, 6, 1, 5),
% 0.57/0.74 left_branch(0, 18, 0, 6),
% 0.57/0.74 right_branch(6),
% 0.57/0.74 left_branch(0, 14, 1, 7),
% 0.57/0.74 left_branch(0, 19, 0, 8),
% 0.57/0.74 right_branch(8),
% 0.57/0.74 left_branch(0, 12, 2, 9),
% 0.57/0.74 left_branch(0, 21, 0, 10),
% 0.57/0.74 right_branch(10),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(9),
% 0.57/0.74 left_branch(0, 10, 0, 10),
% 0.57/0.74 reduction(0, 0),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(10),
% 0.57/0.74 right_branch(7),
% 0.57/0.74 left_branch(0, 14, 1, 8),
% 0.57/0.74 left_branch(0, 20, 0, 9),
% 0.57/0.74 right_branch(9),
% 0.57/0.74 left_branch(0, 12, 2, 10),
% 0.57/0.74 left_branch(0, 21, 0, 11),
% 0.57/0.74 right_branch(11),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(10),
% 0.57/0.74 left_branch(0, 11, 0, 11),
% 0.57/0.74 reduction(0, 0),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(11),
% 0.57/0.74 right_branch(8),
% 0.57/0.74 right_branch(5),
% 0.57/0.74 right_branch(3),
% 0.57/0.74 left_branch(0, 12, 1, 4),
% 0.57/0.74 left_branch(0, 20, 0, 5),
% 0.57/0.74 right_branch(5),
% 0.57/0.74 left_branch(0, 14, 2, 6),
% 0.57/0.74 left_branch(0, 21, 0, 7),
% 0.57/0.74 right_branch(7),
% 0.57/0.74 lemmata(0, 0),
% 0.57/0.74 left_branch(0, 8, 2, 9),
% 0.57/0.74 left_branch(0, 18, 0, 10),
% 0.57/0.74 right_branch(10),
% 0.57/0.74 left_branch(0, 13, 2, 11),
% 0.57/0.74 left_branch(0, 20, 0, 12),
% 0.57/0.74 right_branch(12),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(11),
% 0.57/0.74 right_branch(9),
% 0.57/0.74 right_branch(6),
% 0.57/0.74 right_branch(4),
% 0.57/0.74 left_branch(0, 12, 1, 5),
% 0.57/0.74 left_branch(0, 19, 0, 6),
% 0.57/0.74 right_branch(6),
% 0.57/0.74 left_branch(0, 14, 2, 7),
% 0.57/0.74 left_branch(0, 21, 0, 8),
% 0.57/0.74 right_branch(8),
% 0.57/0.74 lemmata(0, 0),
% 0.57/0.74 left_branch(0, 7, 2, 10),
% 0.57/0.74 left_branch(0, 18, 0, 11),
% 0.57/0.74 right_branch(11),
% 0.57/0.74 left_branch(0, 13, 2, 12),
% 0.57/0.74 left_branch(0, 19, 0, 13),
% 0.57/0.74 right_branch(13),
% 0.57/0.74 reduction(0, 1),
% 0.57/0.74 right_branch(12),
% 0.57/0.74 right_branch(10),
% 0.57/0.74 right_branch(7),
% 0.57/0.74 right_branch(5),
% 0.57/0.74 right_branch(2)
% 0.57/0.74 )).
% 0.57/0.74 % SZS output end Proof for theBenchmark
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