TSTP Solution File: GRP123-6.003 by ConnectPP---0.2.2
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- Process Solution
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% File : ConnectPP---0.2.2
% Problem : GRP123-6.003 : 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 : n031.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 09:04:03 EST 2024
% Result : Unsatisfiable 0.18s 0.37s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP123-6.003 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n031.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 : Mon Mar 4 08:44:32 EST 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.37 % SZS output start Proof for theBenchmark
% 0.18/0.37
% 0.18/0.37 % Problem matrix:
% 0.18/0.37 cnf(matrix-0, plain, ( group_element(e_1) )).
% 0.18/0.37 cnf(matrix-1, plain, ( group_element(e_2) )).
% 0.18/0.37 cnf(matrix-2, plain, ( group_element(e_3) )).
% 0.18/0.37 cnf(matrix-3, plain, ( ~equalish(e_1, e_2) )).
% 0.18/0.37 cnf(matrix-4, plain, ( ~equalish(e_1, e_3) )).
% 0.18/0.37 cnf(matrix-5, plain, ( ~equalish(e_2, e_1) )).
% 0.18/0.37 cnf(matrix-6, plain, ( ~equalish(e_2, e_3) )).
% 0.18/0.37 cnf(matrix-7, plain, ( ~equalish(e_3, e_1) )).
% 0.18/0.37 cnf(matrix-8, plain, ( ~equalish(e_3, e_2) )).
% 0.18/0.37 cnf(matrix-9, plain, ( ~group_element(X) | ~group_element(Y) | product1(X, Y, e_1) | product1(X, Y, e_2) | product1(X, Y, e_3) )).
% 0.18/0.37 cnf(matrix-10, plain, ( ~product1(X, Y, W) | ~product1(X, Y, Z) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-11, plain, ( ~product1(X, W, Y) | ~product1(X, Z, Y) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-12, plain, ( ~product1(W, Y, X) | ~product1(Z, Y, X) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-13, plain, ( product1(X, X, X) )).
% 0.18/0.37 cnf(matrix-14, plain, ( ~group_element(X) | ~group_element(Y) | product2(X, Y, e_1) | product2(X, Y, e_2) | product2(X, Y, e_3) )).
% 0.18/0.37 cnf(matrix-15, plain, ( ~product2(X, Y, W) | ~product2(X, Y, Z) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-16, plain, ( ~product2(X, W, Y) | ~product2(X, Z, Y) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-17, plain, ( ~product2(W, Y, X) | ~product2(Z, Y, X) | equalish(W, Z) )).
% 0.18/0.37 cnf(matrix-18, plain, ( product2(X, X, X) )).
% 0.18/0.37 cnf(matrix-19, plain, ( ~product1(X, Y, Z1) | ~product1(Z1, Y, Z2) | product2(Z2, X, Y) )).
% 0.18/0.37
% 0.18/0.37 % Proof stack:
% 0.18/0.37 cnf(proof-stack, plain,
% 0.18/0.37 proof_stack(
% 0.18/0.37 start(3),
% 0.18/0.37 left_branch(0, 15, 2, 2),
% 0.18/0.37 left_branch(0, 19, 2, 3),
% 0.18/0.37 left_branch(0, 13, 0, 4),
% 0.18/0.37 right_branch(4),
% 0.18/0.37 left_branch(0, 13, 0, 5),
% 0.18/0.37 right_branch(5),
% 0.18/0.37 right_branch(3),
% 0.18/0.37 left_branch(0, 19, 2, 4),
% 0.18/0.37 left_branch(0, 9, 4, 5),
% 0.18/0.37 left_branch(0, 0, 0, 6),
% 0.18/0.37 right_branch(6),
% 0.18/0.37 left_branch(0, 12, 0, 7),
% 0.18/0.37 reduction(0, 0),
% 0.18/0.37 left_branch(0, 13, 0, 9),
% 0.18/0.37 right_branch(9),
% 0.18/0.37 right_branch(7),
% 0.18/0.37 left_branch(0, 19, 1, 8),
% 0.18/0.37 reduction(0, 3),
% 0.18/0.37 reduction(0, 1),
% 0.18/0.37 right_branch(8),
% 0.18/0.37 left_branch(0, 1, 0, 9),
% 0.18/0.37 right_branch(9),
% 0.18/0.37 right_branch(5),
% 0.18/0.37 left_branch(0, 9, 2, 6),
% 0.18/0.37 left_branch(0, 2, 0, 7),
% 0.18/0.37 right_branch(7),
% 0.18/0.37 left_branch(0, 12, 0, 8),
% 0.18/0.37 left_branch(0, 8, 0, 9),
% 0.18/0.37 right_branch(9),
% 0.18/0.37 left_branch(0, 13, 0, 10),
% 0.18/0.37 right_branch(10),
% 0.18/0.37 right_branch(8),
% 0.18/0.37 left_branch(0, 11, 0, 9),
% 0.18/0.37 left_branch(0, 6, 0, 10),
% 0.18/0.37 right_branch(10),
% 0.18/0.37 left_branch(0, 13, 0, 11),
% 0.18/0.37 right_branch(11),
% 0.18/0.37 right_branch(9),
% 0.18/0.37 left_branch(0, 1, 0, 10),
% 0.18/0.37 right_branch(10),
% 0.18/0.37 right_branch(6),
% 0.18/0.37 right_branch(4),
% 0.18/0.37 right_branch(2)
% 0.18/0.37 )).
% 0.18/0.37 % SZS output end Proof for theBenchmark
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