TSTP Solution File: TOP005-2 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : TOP005-2 : 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 14:45:31 EDT 2024

% Result   : Unsatisfiable 0.40s 0.57s
% Output   : Proof 0.40s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.04/0.14  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35  % Computer : n018.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 23:47:14 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.40/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.40/0.57  % SZS output start Proof for theBenchmark
% 0.40/0.57  
% 0.40/0.57  % Problem matrix:
% 0.40/0.57  cnf(matrix-0, plain, ( ~element_of_set(U, union_of_members(Vf)) | element_of_set(U, f1(Vf, U)) )).
% 0.40/0.57  cnf(matrix-1, plain, ( ~element_of_set(U, union_of_members(Vf)) | element_of_collection(f1(Vf, U), Vf) )).
% 0.40/0.57  cnf(matrix-2, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | element_of_set(X, f10(Vf, U, X)) )).
% 0.40/0.57  cnf(matrix-3, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | element_of_collection(f10(Vf, U, X), Vf) )).
% 0.40/0.57  cnf(matrix-4, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | subset_sets(f10(Vf, U, X), U) )).
% 0.40/0.57  cnf(matrix-5, plain, ( element_of_collection(U, top_of_basis(Vf)) | element_of_set(f11(Vf, U), U) )).
% 0.40/0.57  cnf(matrix-6, plain, ( element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(f11(Vf, U), Uu11) | ~element_of_collection(Uu11, Vf) | ~subset_sets(Uu11, U) )).
% 0.40/0.57  cnf(matrix-7, plain, ( subset_sets(X, Y) | ~element_of_set(U, X) | element_of_set(U, Y) )).
% 0.40/0.57  cnf(matrix-8, plain, ( ~subset_sets(X, Y) | ~element_of_collection(Y, Z) | subset_sets(X, union_of_members(Z)) )).
% 0.40/0.57  cnf(matrix-9, plain, ( ~subset_collections(X, Y) | ~element_of_collection(U, X) | element_of_collection(U, Y) )).
% 0.40/0.57  cnf(matrix-10, plain, ( subset_collections(g, top_of_basis(f)) )).
% 0.40/0.57  cnf(matrix-11, plain, ( ~element_of_collection(union_of_members(g), top_of_basis(f)) )).
% 0.40/0.57  
% 0.40/0.57  % Proof stack:
% 0.40/0.57  cnf(proof-stack, plain, 
% 0.40/0.57  proof_stack(
% 0.40/0.57  start(11), 
% 0.40/0.57  left_branch(0, 6, 0, 2), 
% 0.40/0.57  left_branch(0, 8, 2, 3), 
% 0.40/0.57  left_branch(0, 4, 2, 4), 
% 0.40/0.57  left_branch(0, 9, 2, 5), 
% 0.40/0.57  left_branch(0, 10, 0, 6), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  left_branch(0, 1, 1, 7), 
% 0.40/0.57  left_branch(0, 5, 1, 8), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(8), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  right_branch(5), 
% 0.40/0.57  left_branch(0, 0, 1, 6), 
% 0.40/0.57  left_branch(0, 5, 1, 7), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  right_branch(4), 
% 0.40/0.57  left_branch(0, 1, 1, 5), 
% 0.40/0.57  left_branch(0, 5, 1, 6), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  right_branch(5), 
% 0.40/0.57  right_branch(3), 
% 0.40/0.57  left_branch(0, 3, 2, 4), 
% 0.40/0.57  left_branch(0, 9, 2, 5), 
% 0.40/0.57  left_branch(0, 10, 0, 6), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  left_branch(0, 1, 1, 7), 
% 0.40/0.57  left_branch(0, 5, 1, 8), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(8), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  right_branch(5), 
% 0.40/0.57  left_branch(0, 0, 1, 6), 
% 0.40/0.57  left_branch(0, 5, 1, 7), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  right_branch(4), 
% 0.40/0.57  left_branch(0, 2, 2, 5), 
% 0.40/0.57  left_branch(0, 9, 2, 6), 
% 0.40/0.57  left_branch(0, 10, 0, 7), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  left_branch(0, 1, 1, 8), 
% 0.40/0.57  left_branch(0, 5, 1, 9), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(9), 
% 0.40/0.57  right_branch(8), 
% 0.40/0.57  right_branch(6), 
% 0.40/0.57  left_branch(0, 0, 1, 7), 
% 0.40/0.57  left_branch(0, 5, 1, 8), 
% 0.40/0.57  reduction(0, 0), 
% 0.40/0.57  right_branch(8), 
% 0.40/0.57  right_branch(7), 
% 0.40/0.57  right_branch(5), 
% 0.40/0.57  right_branch(2)
% 0.40/0.57  )).
% 0.40/0.57  % SZS output end Proof for theBenchmark
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