TSTP Solution File: GRP123-4.003 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP123-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n008.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 14:13:23 EDT 2024
% Result : Unsatisfiable 1.10s 1.26s
% Output : Proof 1.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-4.003 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Mar 21 06:21:43 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.10/1.26 % SZS status Unsatisfiable for theBenchmark
% 1.10/1.26 % SZS output start Proof for theBenchmark
% 1.10/1.26
% 1.10/1.26 % Problem matrix:
% 1.10/1.26 cnf(matrix-0, plain, ( ~group_element(X) | ~group_element(Y) | product(e_1, X, Y) | product(e_2, X, Y) | product(e_3, X, Y) )).
% 1.10/1.26 cnf(matrix-1, plain, ( ~group_element(X) | ~group_element(Y) | product(X, e_1, Y) | product(X, e_2, Y) | product(X, e_3, Y) )).
% 1.10/1.26 cnf(matrix-2, plain, ( group_element(e_1) )).
% 1.10/1.26 cnf(matrix-3, plain, ( group_element(e_2) )).
% 1.10/1.26 cnf(matrix-4, plain, ( group_element(e_3) )).
% 1.10/1.26 cnf(matrix-5, plain, ( ~equalish(e_1, e_2) )).
% 1.10/1.26 cnf(matrix-6, plain, ( ~equalish(e_1, e_3) )).
% 1.10/1.26 cnf(matrix-7, plain, ( ~equalish(e_2, e_1) )).
% 1.10/1.26 cnf(matrix-8, plain, ( ~equalish(e_2, e_3) )).
% 1.10/1.26 cnf(matrix-9, plain, ( ~equalish(e_3, e_1) )).
% 1.10/1.26 cnf(matrix-10, plain, ( ~equalish(e_3, e_2) )).
% 1.10/1.26 cnf(matrix-11, plain, ( ~group_element(X) | ~group_element(Y) | product(X, Y, e_1) | product(X, Y, e_2) | product(X, Y, e_3) )).
% 1.10/1.26 cnf(matrix-12, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 1.10/1.26 cnf(matrix-13, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 1.10/1.26 cnf(matrix-14, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 1.10/1.26 cnf(matrix-15, plain, ( product(X, X, X) )).
% 1.10/1.26 cnf(matrix-16, plain, ( ~product(X1, Y1, Z1) | ~product(X2, Y2, Z1) | ~product(Z2, Y1, X1) | ~product(Z2, Y2, X2) | equalish(X1, X2) )).
% 1.10/1.26 cnf(matrix-17, plain, ( ~product(X1, Y1, Z1) | ~product(X2, Y2, Z1) | ~product(Z2, Y1, X1) | ~product(Z2, Y2, X2) | equalish(Y1, Y2) )).
% 1.10/1.26
% 1.10/1.26 % Proof stack:
% 1.10/1.26 cnf(proof-stack, plain,
% 1.10/1.26 proof_stack(
% 1.10/1.26 start(5),
% 1.10/1.26 left_branch(0, 17, 4, 2),
% 1.10/1.26 left_branch(0, 15, 0, 3),
% 1.10/1.26 right_branch(3),
% 1.10/1.26 left_branch(0, 15, 0, 4),
% 1.10/1.26 right_branch(4),
% 1.10/1.26 left_branch(0, 1, 2, 5),
% 1.10/1.26 left_branch(0, 3, 0, 6),
% 1.10/1.26 right_branch(6),
% 1.10/1.26 left_branch(0, 14, 0, 7),
% 1.10/1.26 left_branch(0, 8, 0, 8),
% 1.10/1.26 right_branch(8),
% 1.10/1.26 left_branch(0, 11, 2, 9),
% 1.10/1.26 left_branch(0, 4, 0, 10),
% 1.10/1.26 right_branch(10),
% 1.10/1.26 left_branch(0, 14, 0, 11),
% 1.10/1.26 left_branch(0, 10, 0, 12),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 lemmata(0, 1),
% 1.10/1.26 right_branch(11),
% 1.10/1.26 left_branch(0, 17, 0, 12),
% 1.10/1.26 left_branch(0, 8, 0, 13),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 left_branch(0, 15, 0, 14),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 reduction(0, 4),
% 1.10/1.26 lemmata(0, 7),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 lemmata(0, 2),
% 1.10/1.26 right_branch(9),
% 1.10/1.26 right_branch(7),
% 1.10/1.26 left_branch(0, 17, 0, 8),
% 1.10/1.26 left_branch(0, 10, 0, 9),
% 1.10/1.26 right_branch(9),
% 1.10/1.26 left_branch(0, 15, 0, 10),
% 1.10/1.26 right_branch(10),
% 1.10/1.26 left_branch(0, 0, 3, 11),
% 1.10/1.26 left_branch(0, 4, 0, 12),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 left_branch(0, 12, 0, 13),
% 1.10/1.26 left_branch(0, 8, 0, 14),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 left_branch(0, 15, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 left_branch(0, 17, 0, 14),
% 1.10/1.26 left_branch(0, 10, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 left_branch(0, 15, 0, 16),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 reduction(0, 2),
% 1.10/1.26 lemmata(0, 1),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 lemmata(0, 2),
% 1.10/1.26 right_branch(11),
% 1.10/1.26 left_branch(0, 11, 2, 12),
% 1.10/1.26 lemmata(0, 2),
% 1.10/1.26 left_branch(0, 13, 0, 14),
% 1.10/1.26 left_branch(0, 8, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 6),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 left_branch(0, 12, 0, 15),
% 1.10/1.26 left_branch(0, 10, 0, 16),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 lemmata(0, 1),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 2),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 right_branch(8),
% 1.10/1.26 left_branch(0, 2, 0, 9),
% 1.10/1.26 right_branch(9),
% 1.10/1.26 right_branch(5),
% 1.10/1.26 left_branch(0, 0, 3, 6),
% 1.10/1.26 left_branch(0, 3, 0, 7),
% 1.10/1.26 right_branch(7),
% 1.10/1.26 left_branch(0, 17, 0, 8),
% 1.10/1.26 left_branch(0, 8, 0, 9),
% 1.10/1.26 right_branch(9),
% 1.10/1.26 left_branch(0, 15, 0, 10),
% 1.10/1.26 right_branch(10),
% 1.10/1.26 left_branch(0, 0, 4, 11),
% 1.10/1.26 lemmata(0, 3),
% 1.10/1.26 left_branch(0, 12, 0, 13),
% 1.10/1.26 left_branch(0, 10, 0, 14),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 lemmata(0, 1),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 left_branch(0, 17, 0, 14),
% 1.10/1.26 left_branch(0, 8, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 left_branch(0, 15, 0, 16),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 reduction(0, 2),
% 1.10/1.26 lemmata(0, 5),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 left_branch(0, 4, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 right_branch(11),
% 1.10/1.26 left_branch(0, 11, 2, 12),
% 1.10/1.26 left_branch(0, 4, 0, 13),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 left_branch(0, 12, 0, 14),
% 1.10/1.26 left_branch(0, 8, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 5),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 left_branch(0, 13, 0, 15),
% 1.10/1.26 left_branch(0, 10, 0, 16),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 lemmata(0, 6),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 7),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 right_branch(8),
% 1.10/1.26 left_branch(0, 17, 0, 9),
% 1.10/1.26 left_branch(0, 8, 0, 10),
% 1.10/1.26 right_branch(10),
% 1.10/1.26 left_branch(0, 15, 0, 11),
% 1.10/1.26 right_branch(11),
% 1.10/1.26 left_branch(0, 11, 2, 12),
% 1.10/1.26 left_branch(0, 4, 0, 13),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 left_branch(0, 14, 0, 14),
% 1.10/1.26 left_branch(0, 10, 0, 15),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 1),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 left_branch(0, 17, 0, 15),
% 1.10/1.26 left_branch(0, 8, 0, 16),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 left_branch(0, 15, 0, 17),
% 1.10/1.26 right_branch(17),
% 1.10/1.26 reduction(0, 4),
% 1.10/1.26 lemmata(0, 6),
% 1.10/1.26 right_branch(15),
% 1.10/1.26 lemmata(0, 3),
% 1.10/1.26 right_branch(12),
% 1.10/1.26 left_branch(0, 1, 4, 13),
% 1.10/1.26 left_branch(0, 4, 0, 14),
% 1.10/1.26 right_branch(14),
% 1.10/1.26 lemmata(0, 4),
% 1.10/1.26 left_branch(0, 14, 0, 16),
% 1.10/1.26 left_branch(0, 10, 0, 17),
% 1.10/1.26 right_branch(17),
% 1.10/1.26 lemmata(0, 2),
% 1.10/1.26 right_branch(16),
% 1.10/1.26 left_branch(0, 2, 0, 17),
% 1.10/1.26 right_branch(17),
% 1.10/1.26 right_branch(13),
% 1.10/1.26 right_branch(9),
% 1.10/1.26 left_branch(0, 2, 0, 10),
% 1.10/1.26 right_branch(10),
% 1.10/1.26 right_branch(6),
% 1.10/1.26 right_branch(2)
% 1.10/1.26 )).
% 1.10/1.26 % SZS output end Proof for theBenchmark
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