TSTP Solution File: MSC008-1.002 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : MSC008-1.002 : 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 : n006.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 14:22:02 EDT 2024

% Result   : Unsatisfiable 14.18s 14.36s
% Output   : Proof 14.18s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : MSC008-1.002 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Mar 20 17:05:14 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 14.18/14.36  % SZS status Unsatisfiable for theBenchmark
% 14.18/14.36  % SZS output start Proof for theBenchmark
% 14.18/14.36  
% 14.18/14.36  % Problem matrix:
% 14.18/14.36  cnf(matrix-0, plain, ( ~eq(p_1, p_2) )).
% 14.18/14.36  cnf(matrix-1, plain, ( eq(X, X) )).
% 14.18/14.36  cnf(matrix-2, plain, ( ~eq(X, Y) | eq(Y, X) )).
% 14.18/14.36  cnf(matrix-3, plain, ( ~latin(Row, Column, Label1) | ~latin(Row, Column, Label2) | eq(Label1, Label2) )).
% 14.18/14.36  cnf(matrix-4, plain, ( ~latin(Row, Column1, Label) | ~latin(Row, Column2, Label) | eq(Column1, Column2) )).
% 14.18/14.36  cnf(matrix-5, plain, ( ~latin(Row1, Column, Label) | ~latin(Row2, Column, Label) | eq(Row1, Row2) )).
% 14.18/14.36  cnf(matrix-6, plain, ( ~greek(Row, Column, Label1) | ~greek(Row, Column, Label2) | eq(Label1, Label2) )).
% 14.18/14.36  cnf(matrix-7, plain, ( ~greek(Row, Column1, Label) | ~greek(Row, Column2, Label) | eq(Column1, Column2) )).
% 14.18/14.36  cnf(matrix-8, plain, ( ~greek(Row1, Column, Label) | ~greek(Row2, Column, Label) | eq(Row1, Row2) )).
% 14.18/14.36  cnf(matrix-9, plain, ( latin(Row, Column, p_1) | latin(Row, Column, p_2) )).
% 14.18/14.36  cnf(matrix-10, plain, ( latin(Row, p_1, Label) | latin(Row, p_2, Label) )).
% 14.18/14.36  cnf(matrix-11, plain, ( latin(p_1, Column, Label) | latin(p_2, Column, Label) )).
% 14.18/14.36  cnf(matrix-12, plain, ( greek(Row, Column, p_1) | greek(Row, Column, p_2) )).
% 14.18/14.36  cnf(matrix-13, plain, ( greek(Row, p_1, Label) | greek(Row, p_2, Label) )).
% 14.18/14.36  cnf(matrix-14, plain, ( greek(p_1, Column, Label) | greek(p_2, Column, Label) )).
% 14.18/14.36  cnf(matrix-15, plain, ( ~greek(Row1, Column1, Label1) | ~latin(Row1, Column1, Label2) | ~greek(Row2, Column2, Label1) | ~latin(Row2, Column2, Label2) | eq(Column1, Column2) )).
% 14.18/14.36  cnf(matrix-16, plain, ( ~greek(Row1, Column1, Label1) | ~latin(Row1, Column1, Label2) | ~greek(Row2, Column2, Label1) | ~latin(Row2, Column2, Label2) | eq(Row1, Row2) )).
% 14.18/14.36  
% 14.18/14.36  % Proof stack:
% 14.18/14.36  cnf(proof-stack, plain, 
% 14.18/14.36  proof_stack(
% 14.18/14.36  start(15), 
% 14.18/14.36  left_branch(0, 14, 1, 2), 
% 14.18/14.36  left_branch(0, 15, 0, 3), 
% 14.18/14.36  left_branch(0, 2, 0, 4), 
% 14.18/14.36  left_branch(0, 0, 0, 5), 
% 14.18/14.36  right_branch(5), 
% 14.18/14.36  right_branch(4), 
% 14.18/14.36  left_branch(0, 11, 1, 5), 
% 14.18/14.36  left_branch(0, 3, 0, 6), 
% 14.18/14.36  left_branch(0, 2, 0, 7), 
% 14.18/14.36  left_branch(0, 0, 0, 8), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  left_branch(0, 11, 0, 8), 
% 14.18/14.36  left_branch(0, 16, 3, 9), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  left_branch(0, 2, 0, 11), 
% 14.18/14.36  lemmata(0, 0), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  left_branch(0, 13, 0, 12), 
% 14.18/14.36  reduction(0, 0), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  left_branch(0, 10, 1, 13), 
% 14.18/14.36  reduction(0, 4), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  right_branch(6), 
% 14.18/14.36  right_branch(5), 
% 14.18/14.36  left_branch(0, 14, 1, 6), 
% 14.18/14.36  left_branch(0, 7, 0, 7), 
% 14.18/14.36  left_branch(0, 0, 0, 8), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  right_branch(6), 
% 14.18/14.36  left_branch(0, 11, 0, 7), 
% 14.18/14.36  left_branch(0, 4, 0, 8), 
% 14.18/14.36  left_branch(0, 2, 0, 9), 
% 14.18/14.36  left_branch(0, 0, 0, 10), 
% 14.18/14.36  right_branch(10), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  lemmata(0, 1), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  right_branch(3), 
% 14.18/14.36  right_branch(2), 
% 14.18/14.36  left_branch(0, 2, 0, 3), 
% 14.18/14.36  left_branch(0, 0, 0, 4), 
% 14.18/14.36  right_branch(4), 
% 14.18/14.36  right_branch(3), 
% 14.18/14.36  left_branch(0, 11, 1, 4), 
% 14.18/14.36  left_branch(0, 4, 0, 5), 
% 14.18/14.36  left_branch(0, 0, 0, 6), 
% 14.18/14.36  right_branch(6), 
% 14.18/14.36  left_branch(0, 9, 1, 7), 
% 14.18/14.36  left_branch(0, 16, 3, 8), 
% 14.18/14.36  left_branch(0, 14, 1, 9), 
% 14.18/14.36  left_branch(0, 16, 0, 10), 
% 14.18/14.36  left_branch(0, 0, 0, 11), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  left_branch(0, 11, 1, 12), 
% 14.18/14.36  reduction(0, 2), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  left_branch(0, 13, 1, 13), 
% 14.18/14.36  reduction(0, 4), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  right_branch(10), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  lemmata(0, 1), 
% 14.18/14.36  left_branch(0, 14, 0, 11), 
% 14.18/14.36  left_branch(0, 15, 0, 12), 
% 14.18/14.36  left_branch(0, 2, 0, 13), 
% 14.18/14.36  left_branch(0, 0, 0, 14), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  left_branch(0, 13, 0, 15), 
% 14.18/14.36  reduction(0, 4), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  left_branch(0, 11, 1, 16), 
% 14.18/14.36  reduction(0, 2), 
% 14.18/14.36  right_branch(16), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  left_branch(0, 11, 1, 12), 
% 14.18/14.36  left_branch(0, 4, 0, 13), 
% 14.18/14.36  left_branch(0, 0, 0, 14), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  reduction(0, 3), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  right_branch(5), 
% 14.18/14.36  right_branch(4), 
% 14.18/14.36  left_branch(0, 14, 1, 5), 
% 14.18/14.36  left_branch(0, 16, 0, 6), 
% 14.18/14.36  left_branch(0, 0, 0, 7), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  left_branch(0, 11, 1, 8), 
% 14.18/14.36  left_branch(0, 15, 3, 9), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  left_branch(0, 0, 0, 11), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  left_branch(0, 12, 1, 12), 
% 14.18/14.36  left_branch(0, 16, 0, 13), 
% 14.18/14.36  left_branch(0, 0, 0, 14), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  left_branch(0, 10, 0, 15), 
% 14.18/14.36  reduction(0, 2), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  left_branch(0, 12, 0, 16), 
% 14.18/14.36  reduction(0, 0), 
% 14.18/14.36  right_branch(16), 
% 14.18/14.36  reduction(0, 3), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  left_branch(0, 9, 0, 13), 
% 14.18/14.36  left_branch(0, 5, 0, 14), 
% 14.18/14.36  left_branch(0, 0, 0, 15), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  lemmata(0, 2), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  lemmata(0, 0), 
% 14.18/14.36  left_branch(0, 11, 0, 10), 
% 14.18/14.36  left_branch(0, 4, 0, 11), 
% 14.18/14.36  left_branch(0, 0, 0, 12), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  lemmata(0, 4), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  right_branch(10), 
% 14.18/14.36  right_branch(6), 
% 14.18/14.36  right_branch(5), 
% 14.18/14.36  left_branch(0, 11, 1, 6), 
% 14.18/14.36  left_branch(0, 4, 0, 7), 
% 14.18/14.36  left_branch(0, 2, 0, 8), 
% 14.18/14.36  left_branch(0, 0, 0, 9), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  right_branch(8), 
% 14.18/14.36  left_branch(0, 9, 1, 9), 
% 14.18/14.36  left_branch(0, 16, 3, 10), 
% 14.18/14.36  left_branch(0, 14, 1, 11), 
% 14.18/14.36  left_branch(0, 16, 0, 12), 
% 14.18/14.36  left_branch(0, 0, 0, 13), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  left_branch(0, 11, 1, 14), 
% 14.18/14.36  reduction(0, 2), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  left_branch(0, 13, 0, 15), 
% 14.18/14.36  reduction(0, 4), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  right_branch(12), 
% 14.18/14.36  right_branch(11), 
% 14.18/14.36  lemmata(0, 1), 
% 14.18/14.36  left_branch(0, 14, 0, 13), 
% 14.18/14.36  left_branch(0, 15, 0, 14), 
% 14.18/14.36  left_branch(0, 0, 0, 15), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  reduction(0, 1), 
% 14.18/14.36  left_branch(0, 13, 1, 17), 
% 14.18/14.36  reduction(0, 4), 
% 14.18/14.36  right_branch(17), 
% 14.18/14.36  lemmata(0, 2), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  right_branch(13), 
% 14.18/14.36  left_branch(0, 11, 1, 14), 
% 14.18/14.36  left_branch(0, 4, 0, 15), 
% 14.18/14.36  left_branch(0, 2, 0, 16), 
% 14.18/14.36  left_branch(0, 0, 0, 17), 
% 14.18/14.36  right_branch(17), 
% 14.18/14.36  right_branch(16), 
% 14.18/14.36  reduction(0, 3), 
% 14.18/14.36  right_branch(15), 
% 14.18/14.36  right_branch(14), 
% 14.18/14.36  right_branch(10), 
% 14.18/14.36  right_branch(9), 
% 14.18/14.36  right_branch(7), 
% 14.18/14.36  right_branch(6)
% 14.18/14.36  )).
% 14.18/14.36  % SZS output end Proof for theBenchmark
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