TSTP Solution File: GRP130-3.003 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP130-3.003 : 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 : n011.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 14:13:31 EDT 2024
% Result : Unsatisfiable 12.34s 12.51s
% Output : Proof 12.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP130-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Mar 21 06:22:57 EDT 2024
% 0.14/0.34 % CPUTime :
% 12.34/12.51 % SZS status Unsatisfiable for theBenchmark
% 12.34/12.51 % SZS output start Proof for theBenchmark
% 12.34/12.51
% 12.34/12.51 % Problem matrix:
% 12.34/12.51 cnf(matrix-0, plain, ( next(e_0, e_1) )).
% 12.34/12.51 cnf(matrix-1, plain, ( next(e_1, e_2) )).
% 12.34/12.51 cnf(matrix-2, plain, ( next(e_2, e_3) )).
% 12.34/12.51 cnf(matrix-3, plain, ( greater(e_1, e_0) )).
% 12.34/12.51 cnf(matrix-4, plain, ( greater(e_2, e_0) )).
% 12.34/12.51 cnf(matrix-5, plain, ( greater(e_3, e_0) )).
% 12.34/12.51 cnf(matrix-6, plain, ( greater(e_2, e_1) )).
% 12.34/12.51 cnf(matrix-7, plain, ( greater(e_3, e_1) )).
% 12.34/12.51 cnf(matrix-8, plain, ( greater(e_3, e_2) )).
% 12.34/12.51 cnf(matrix-9, plain, ( ~cycle(X, Y) | ~cycle(X, Z) | equalish(Y, Z) )).
% 12.34/12.51 cnf(matrix-10, plain, ( ~group_element(X) | cycle(X, e_0) | cycle(X, e_1) | cycle(X, e_2) )).
% 12.34/12.51 cnf(matrix-11, plain, ( cycle(e_3, e_0) )).
% 12.34/12.51 cnf(matrix-12, plain, ( ~cycle(X, Y) | ~cycle(W, Z) | ~next(X, W) | ~greater(Y, e_0) | ~next(Z, Z1) | equalish(Y, Z1) )).
% 12.34/12.51 cnf(matrix-13, plain, ( ~cycle(X, Z1) | ~cycle(Y, e_0) | ~cycle(W, Z2) | ~next(Y, W) | ~greater(Y, X) | ~greater(Z1, Z2) )).
% 12.34/12.51 cnf(matrix-14, plain, ( ~cycle(X, e_0) | ~product(X, e_1, Y) | ~greater(Y, X) )).
% 12.34/12.51 cnf(matrix-15, plain, ( ~cycle(X, Y) | ~product(X, e_1, Z) | ~greater(Y, e_0) | ~next(X, X1) | equalish(Z, X1) )).
% 12.34/12.51 cnf(matrix-16, plain, ( group_element(e_1) )).
% 12.34/12.51 cnf(matrix-17, plain, ( group_element(e_2) )).
% 12.34/12.51 cnf(matrix-18, plain, ( group_element(e_3) )).
% 12.34/12.51 cnf(matrix-19, plain, ( ~equalish(e_1, e_2) )).
% 12.34/12.51 cnf(matrix-20, plain, ( ~equalish(e_1, e_3) )).
% 12.34/12.51 cnf(matrix-21, plain, ( ~equalish(e_2, e_1) )).
% 12.34/12.51 cnf(matrix-22, plain, ( ~equalish(e_2, e_3) )).
% 12.34/12.51 cnf(matrix-23, plain, ( ~equalish(e_3, e_1) )).
% 12.34/12.51 cnf(matrix-24, plain, ( ~equalish(e_3, e_2) )).
% 12.34/12.51 cnf(matrix-25, plain, ( ~group_element(X) | ~group_element(Y) | product(X, Y, e_1) | product(X, Y, e_2) | product(X, Y, e_3) )).
% 12.34/12.51 cnf(matrix-26, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 12.34/12.51 cnf(matrix-27, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 12.34/12.51 cnf(matrix-28, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 12.34/12.51 cnf(matrix-29, plain, ( ~product(X, Y, Z1) | ~product(X, Z1, Z2) | product(Z2, Y, X) )).
% 12.34/12.51
% 12.34/12.51 % Proof stack:
% 12.34/12.51 cnf(proof-stack, plain,
% 12.34/12.51 proof_stack(
% 12.34/12.51 start(29),
% 12.34/12.51 left_branch(0, 25, 2, 2),
% 12.34/12.51 left_branch(0, 18, 0, 3),
% 12.34/12.51 right_branch(3),
% 12.34/12.51 left_branch(0, 29, 1, 4),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 left_branch(0, 29, 1, 6),
% 12.34/12.51 left_branch(0, 25, 3, 7),
% 12.34/12.51 left_branch(0, 17, 0, 8),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 left_branch(0, 29, 1, 9),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 left_branch(0, 27, 0, 11),
% 12.34/12.51 left_branch(0, 24, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 lemmata(0, 1),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 left_branch(0, 29, 1, 10),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 left_branch(0, 28, 0, 12),
% 12.34/12.51 left_branch(0, 20, 0, 13),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 lemmata(0, 1),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 lemmata(0, 0),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 left_branch(0, 29, 0, 8),
% 12.34/12.51 left_branch(0, 29, 1, 9),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 left_branch(0, 27, 0, 11),
% 12.34/12.51 left_branch(0, 24, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 lemmata(0, 1),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 right_branch(4),
% 12.34/12.51 left_branch(0, 29, 1, 5),
% 12.34/12.51 left_branch(0, 25, 3, 6),
% 12.34/12.51 lemmata(0, 0),
% 12.34/12.51 left_branch(0, 27, 0, 8),
% 12.34/12.51 left_branch(0, 24, 0, 9),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 left_branch(0, 29, 1, 9),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 left_branch(0, 28, 0, 11),
% 12.34/12.51 left_branch(0, 20, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 lemmata(0, 3),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 lemmata(0, 0),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 left_branch(0, 29, 0, 7),
% 12.34/12.51 left_branch(0, 29, 1, 8),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 left_branch(0, 29, 0, 10),
% 12.34/12.51 left_branch(0, 28, 0, 11),
% 12.34/12.51 left_branch(0, 24, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 right_branch(5),
% 12.34/12.51 left_branch(0, 17, 0, 6),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 right_branch(2),
% 12.34/12.51 left_branch(0, 29, 1, 3),
% 12.34/12.51 left_branch(0, 29, 2, 4),
% 12.34/12.51 reduction(0, 0),
% 12.34/12.51 left_branch(0, 25, 3, 6),
% 12.34/12.51 left_branch(0, 17, 0, 7),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 left_branch(0, 29, 1, 8),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 left_branch(0, 27, 0, 10),
% 12.34/12.51 left_branch(0, 24, 0, 11),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 left_branch(0, 29, 2, 12),
% 12.34/12.51 reduction(0, 0),
% 12.34/12.51 lemmata(0, 3),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 left_branch(0, 29, 1, 9),
% 12.34/12.51 reduction(0, 0),
% 12.34/12.51 left_branch(0, 29, 1, 11),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 left_branch(0, 28, 0, 13),
% 12.34/12.51 left_branch(0, 22, 0, 14),
% 12.34/12.51 right_branch(14),
% 12.34/12.51 lemmata(0, 0),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 left_branch(0, 18, 0, 10),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 right_branch(4),
% 12.34/12.51 left_branch(0, 29, 0, 5),
% 12.34/12.51 left_branch(0, 29, 0, 6),
% 12.34/12.51 left_branch(0, 29, 1, 7),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 left_branch(0, 29, 0, 9),
% 12.34/12.51 left_branch(0, 28, 0, 10),
% 12.34/12.51 left_branch(0, 24, 0, 11),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 lemmata(0, 1),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 left_branch(0, 25, 3, 8),
% 12.34/12.51 left_branch(0, 17, 0, 9),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 left_branch(0, 29, 1, 10),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 left_branch(0, 27, 0, 12),
% 12.34/12.51 left_branch(0, 24, 0, 13),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 left_branch(0, 29, 1, 11),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 left_branch(0, 28, 0, 13),
% 12.34/12.51 left_branch(0, 20, 0, 14),
% 12.34/12.51 right_branch(14),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 left_branch(0, 18, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(5),
% 12.34/12.51 right_branch(3),
% 12.34/12.51 left_branch(0, 25, 3, 4),
% 12.34/12.51 left_branch(0, 18, 0, 5),
% 12.34/12.51 right_branch(5),
% 12.34/12.51 left_branch(0, 29, 0, 6),
% 12.34/12.51 left_branch(0, 27, 0, 7),
% 12.34/12.51 left_branch(0, 20, 0, 8),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 left_branch(0, 29, 2, 9),
% 12.34/12.51 left_branch(0, 25, 3, 10),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 left_branch(0, 29, 0, 13),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 left_branch(0, 25, 4, 11),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 left_branch(0, 29, 1, 13),
% 12.34/12.51 reduction(0, 5),
% 12.34/12.51 lemmata(0, 1),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 left_branch(0, 29, 0, 14),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 right_branch(14),
% 12.34/12.51 left_branch(0, 17, 0, 15),
% 12.34/12.51 right_branch(15),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 left_branch(0, 25, 4, 8),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 left_branch(0, 29, 1, 10),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 left_branch(0, 28, 0, 12),
% 12.34/12.51 left_branch(0, 22, 0, 13),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 lemmata(0, 4),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 left_branch(0, 29, 1, 11),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 left_branch(0, 28, 0, 13),
% 12.34/12.51 left_branch(0, 20, 0, 14),
% 12.34/12.51 right_branch(14),
% 12.34/12.51 lemmata(0, 5),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 right_branch(6),
% 12.34/12.51 left_branch(0, 29, 1, 7),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 left_branch(0, 29, 0, 9),
% 12.34/12.51 left_branch(0, 29, 1, 10),
% 12.34/12.51 reduction(0, 3),
% 12.34/12.51 left_branch(0, 28, 0, 12),
% 12.34/12.51 left_branch(0, 20, 0, 13),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 reduction(0, 1),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 right_branch(10),
% 12.34/12.51 left_branch(0, 25, 2, 11),
% 12.34/12.51 left_branch(0, 16, 0, 12),
% 12.34/12.51 right_branch(12),
% 12.34/12.51 left_branch(0, 29, 1, 13),
% 12.34/12.51 reduction(0, 2),
% 12.34/12.51 left_branch(0, 28, 0, 15),
% 12.34/12.51 left_branch(0, 22, 0, 16),
% 12.34/12.51 right_branch(16),
% 12.34/12.51 lemmata(0, 4),
% 12.34/12.51 right_branch(15),
% 12.34/12.51 right_branch(13),
% 12.34/12.51 left_branch(0, 29, 1, 14),
% 12.34/12.51 reduction(0, 4),
% 12.34/12.51 left_branch(0, 27, 0, 16),
% 12.34/12.51 left_branch(0, 24, 0, 17),
% 12.34/12.51 right_branch(17),
% 12.34/12.51 lemmata(0, 0),
% 12.34/12.51 right_branch(16),
% 12.34/12.51 right_branch(14),
% 12.34/12.51 lemmata(0, 2),
% 12.34/12.51 right_branch(11),
% 12.34/12.51 right_branch(9),
% 12.34/12.51 right_branch(7),
% 12.34/12.51 left_branch(0, 16, 0, 8),
% 12.34/12.51 right_branch(8),
% 12.34/12.51 right_branch(4)
% 12.34/12.51 )).
% 12.34/12.51 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------