TSTP Solution File: TOP004-2 by ConnectPP---0.2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : TOP004-2 : 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 : n026.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 : Wed Mar  6 09:30:06 EST 2024

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : TOP004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n026.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 : Sun Mar  3 22:02:07 EST 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34  % SZS output start Proof for theBenchmark
% 0.12/0.34  
% 0.12/0.34  % Problem matrix:
% 0.12/0.34  cnf(matrix-0, plain, ( element_of_set(U, union_of_members(Vf)) | ~element_of_set(U, Uu1) | ~element_of_collection(Uu1, Vf) )).
% 0.12/0.34  cnf(matrix-1, plain, ( ~basis(X, Vf) | equal_sets(union_of_members(Vf), X) )).
% 0.12/0.34  cnf(matrix-2, plain, ( ~basis(X, Vf) | ~element_of_set(Y, X) | ~element_of_collection(Vb1, Vf) | ~element_of_collection(Vb2, Vf) | ~element_of_set(Y, intersection_of_sets(Vb1, Vb2)) | element_of_set(Y, f6(X, Vf, Y, Vb1, Vb2)) )).
% 0.12/0.34  cnf(matrix-3, plain, ( ~basis(X, Vf) | ~element_of_set(Y, X) | ~element_of_collection(Vb1, Vf) | ~element_of_collection(Vb2, Vf) | ~element_of_set(Y, intersection_of_sets(Vb1, Vb2)) | element_of_collection(f6(X, Vf, Y, Vb1, Vb2), Vf) )).
% 0.12/0.34  cnf(matrix-4, plain, ( ~basis(X, Vf) | ~element_of_set(Y, X) | ~element_of_collection(Vb1, Vf) | ~element_of_collection(Vb2, Vf) | ~element_of_set(Y, intersection_of_sets(Vb1, Vb2)) | subset_sets(f6(X, Vf, Y, Vb1, Vb2), intersection_of_sets(Vb1, Vb2)) )).
% 0.12/0.34  cnf(matrix-5, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | element_of_set(X, f10(Vf, U, X)) )).
% 0.12/0.34  cnf(matrix-6, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | element_of_collection(f10(Vf, U, X), Vf) )).
% 0.12/0.34  cnf(matrix-7, plain, ( ~element_of_collection(U, top_of_basis(Vf)) | ~element_of_set(X, U) | subset_sets(f10(Vf, U, X), U) )).
% 0.12/0.34  cnf(matrix-8, plain, ( element_of_collection(U, top_of_basis(Vf)) | element_of_set(f11(Vf, U), U) )).
% 0.12/0.34  cnf(matrix-9, 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) )).
% 0.12/0.34  cnf(matrix-10, plain, ( ~subset_sets(X, Y) | ~subset_sets(Y, Z) | subset_sets(X, Z) )).
% 0.12/0.34  cnf(matrix-11, plain, ( ~element_of_set(Z, intersection_of_sets(X, Y)) | element_of_set(Z, X) )).
% 0.12/0.34  cnf(matrix-12, plain, ( ~element_of_set(Z, intersection_of_sets(X, Y)) | element_of_set(Z, Y) )).
% 0.12/0.34  cnf(matrix-13, plain, ( element_of_set(Z, intersection_of_sets(X, Y)) | ~element_of_set(Z, X) | ~element_of_set(Z, Y) )).
% 0.12/0.34  cnf(matrix-14, plain, ( ~subset_sets(X, Y) | ~subset_sets(U, V) | subset_sets(intersection_of_sets(X, U), intersection_of_sets(Y, V)) )).
% 0.12/0.34  cnf(matrix-15, plain, ( ~equal_sets(X, Y) | ~element_of_set(Z, X) | element_of_set(Z, Y) )).
% 0.12/0.34  cnf(matrix-16, plain, ( equal_sets(intersection_of_sets(X, Y), intersection_of_sets(Y, X)) )).
% 0.12/0.34  cnf(matrix-17, plain, ( basis(cx, f) )).
% 0.12/0.34  cnf(matrix-18, plain, ( element_of_collection(U, top_of_basis(f)) )).
% 0.12/0.34  cnf(matrix-19, plain, ( element_of_collection(V, top_of_basis(f)) )).
% 0.12/0.34  cnf(matrix-20, plain, ( ~element_of_collection(intersection_of_sets(U, V), top_of_basis(f)) )).
% 0.12/0.34  
% 0.12/0.34  % Proof stack:
% 0.12/0.34  cnf(proof-stack, plain, 
% 0.12/0.34  proof_stack(
% 0.12/0.34  start(20), 
% 0.12/0.34  left_branch(0, 19, 0, 2), 
% 0.12/0.34  right_branch(2)
% 0.12/0.34  )).
% 0.12/0.34  % SZS output end Proof for theBenchmark
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