TSTP Solution File: GRP128-1.003 by ConnectPP---0.2.2

View Problem - Process Solution

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% File     : ConnectPP---0.2.2
% Problem  : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n020.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 09:04:07 EST 2024

% Result   : Unsatisfiable 1.67s 1.88s
% Output   : Proof 1.67s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Mon Mar  4 08:59:34 EST 2024
% 0.14/0.35  % CPUTime  : 
% 1.67/1.88  % SZS status Unsatisfiable for theBenchmark
% 1.67/1.88  % SZS output start Proof for theBenchmark
% 1.67/1.88  
% 1.67/1.88  % Problem matrix:
% 1.67/1.88  cnf(matrix-0, plain, ( group_element(e_1) )).
% 1.67/1.88  cnf(matrix-1, plain, ( group_element(e_2) )).
% 1.67/1.88  cnf(matrix-2, plain, ( group_element(e_3) )).
% 1.67/1.88  cnf(matrix-3, plain, ( ~equalish(e_1, e_2) )).
% 1.67/1.88  cnf(matrix-4, plain, ( ~equalish(e_1, e_3) )).
% 1.67/1.88  cnf(matrix-5, plain, ( ~equalish(e_2, e_1) )).
% 1.67/1.88  cnf(matrix-6, plain, ( ~equalish(e_2, e_3) )).
% 1.67/1.88  cnf(matrix-7, plain, ( ~equalish(e_3, e_1) )).
% 1.67/1.88  cnf(matrix-8, plain, ( ~equalish(e_3, e_2) )).
% 1.67/1.88  cnf(matrix-9, plain, ( ~group_element(X) | ~group_element(Y) | product(X, Y, e_1) | product(X, Y, e_2) | product(X, Y, e_3) )).
% 1.67/1.88  cnf(matrix-10, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 1.67/1.88  cnf(matrix-11, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 1.67/1.88  cnf(matrix-12, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 1.67/1.88  cnf(matrix-13, plain, ( ~product(X, Y, Z1) | ~product(Z1, Y, Z2) | product(X, Z1, Z2) )).
% 1.67/1.88  
% 1.67/1.88  % Proof stack:
% 1.67/1.88  cnf(proof-stack, plain, 
% 1.67/1.88  proof_stack(
% 1.67/1.88  start(3), 
% 1.67/1.88  left_branch(0, 12, 2, 2), 
% 1.67/1.88  left_branch(0, 13, 2, 3), 
% 1.67/1.88  left_branch(0, 9, 4, 4), 
% 1.67/1.88  left_branch(0, 0, 0, 5), 
% 1.67/1.88  right_branch(5), 
% 1.67/1.88  reduction(0, 1), 
% 1.67/1.88  left_branch(0, 13, 1, 7), 
% 1.67/1.88  reduction(0, 3), 
% 1.67/1.88  left_branch(0, 11, 1, 9), 
% 1.67/1.88  reduction(0, 3), 
% 1.67/1.88  left_branch(0, 7, 0, 11), 
% 1.67/1.88  right_branch(11), 
% 1.67/1.88  right_branch(9), 
% 1.67/1.88  right_branch(7), 
% 1.67/1.88  left_branch(0, 2, 0, 8), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  right_branch(4), 
% 1.67/1.88  left_branch(0, 9, 3, 5), 
% 1.67/1.88  left_branch(0, 2, 0, 6), 
% 1.67/1.88  right_branch(6), 
% 1.67/1.88  left_branch(0, 12, 0, 7), 
% 1.67/1.88  left_branch(0, 7, 0, 8), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  lemmata(0, 0), 
% 1.67/1.88  right_branch(7), 
% 1.67/1.88  left_branch(0, 13, 0, 8), 
% 1.67/1.88  left_branch(0, 13, 1, 9), 
% 1.67/1.88  reduction(0, 4), 
% 1.67/1.88  lemmata(0, 2), 
% 1.67/1.88  right_branch(9), 
% 1.67/1.88  lemmata(0, 0), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  lemmata(0, 1), 
% 1.67/1.88  right_branch(5), 
% 1.67/1.88  right_branch(3), 
% 1.67/1.88  left_branch(0, 9, 3, 4), 
% 1.67/1.88  left_branch(0, 1, 0, 5), 
% 1.67/1.88  right_branch(5), 
% 1.67/1.88  left_branch(0, 13, 0, 6), 
% 1.67/1.88  left_branch(0, 10, 1, 7), 
% 1.67/1.88  reduction(0, 2), 
% 1.67/1.88  left_branch(0, 7, 0, 9), 
% 1.67/1.88  right_branch(9), 
% 1.67/1.88  right_branch(7), 
% 1.67/1.88  left_branch(0, 9, 2, 8), 
% 1.67/1.88  left_branch(0, 2, 0, 9), 
% 1.67/1.88  right_branch(9), 
% 1.67/1.88  left_branch(0, 13, 1, 10), 
% 1.67/1.88  reduction(0, 2), 
% 1.67/1.88  reduction(0, 1), 
% 1.67/1.88  right_branch(10), 
% 1.67/1.88  left_branch(0, 12, 1, 11), 
% 1.67/1.88  reduction(0, 2), 
% 1.67/1.88  left_branch(0, 6, 0, 13), 
% 1.67/1.88  right_branch(13), 
% 1.67/1.88  right_branch(11), 
% 1.67/1.88  lemmata(0, 3), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  right_branch(6), 
% 1.67/1.88  left_branch(0, 13, 0, 7), 
% 1.67/1.88  left_branch(0, 13, 1, 8), 
% 1.67/1.88  reduction(0, 3), 
% 1.67/1.88  left_branch(0, 11, 1, 10), 
% 1.67/1.88  reduction(0, 3), 
% 1.67/1.88  reduction(0, 0), 
% 1.67/1.88  right_branch(10), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  lemmata(0, 0), 
% 1.67/1.88  right_branch(7), 
% 1.67/1.88  left_branch(0, 2, 0, 8), 
% 1.67/1.88  right_branch(8), 
% 1.67/1.88  right_branch(4), 
% 1.67/1.88  right_branch(2)
% 1.67/1.88  )).
% 1.67/1.88  % SZS output end Proof for theBenchmark
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