TSTP Solution File: SYN090-1.008 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN090-1.008 : 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 : n019.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 14:41:50 EDT 2024
% Result : Unsatisfiable 12.18s 12.36s
% Output : Proof 12.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN090-1.008 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Mar 20 22:43:48 EDT 2024
% 0.13/0.33 % CPUTime :
% 12.18/12.36 % SZS status Unsatisfiable for theBenchmark
% 12.18/12.36 % SZS output start Proof for theBenchmark
% 12.18/12.36
% 12.18/12.36 % Problem matrix:
% 12.18/12.36 cnf(matrix-0, plain, ( ~p_0 | ~q_0 )).
% 12.18/12.36 cnf(matrix-1, plain, ( p_0 | ~p_1 | ~p_2 )).
% 12.18/12.36 cnf(matrix-2, plain, ( p_0 | ~q_1 | ~q_2 )).
% 12.18/12.36 cnf(matrix-3, plain, ( p_1 | ~p_2 | ~p_3 )).
% 12.18/12.36 cnf(matrix-4, plain, ( p_1 | ~q_2 | ~q_3 )).
% 12.18/12.36 cnf(matrix-5, plain, ( p_2 | ~p_3 | ~p_4 )).
% 12.18/12.36 cnf(matrix-6, plain, ( p_2 | ~q_3 | ~q_4 )).
% 12.18/12.36 cnf(matrix-7, plain, ( p_3 | ~p_4 | ~p_5 )).
% 12.18/12.36 cnf(matrix-8, plain, ( p_3 | ~q_4 | ~q_5 )).
% 12.18/12.36 cnf(matrix-9, plain, ( p_4 | ~p_5 | ~p_6 )).
% 12.18/12.36 cnf(matrix-10, plain, ( p_4 | ~q_5 | ~q_6 )).
% 12.18/12.36 cnf(matrix-11, plain, ( p_5 | ~p_6 | ~p_7 )).
% 12.18/12.36 cnf(matrix-12, plain, ( p_5 | ~q_6 | ~q_7 )).
% 12.18/12.36 cnf(matrix-13, plain, ( p_6 | ~p_7 | ~p_8 )).
% 12.18/12.36 cnf(matrix-14, plain, ( p_6 | ~q_7 | ~q_8 )).
% 12.18/12.36 cnf(matrix-15, plain, ( p_7 | ~p_8 | ~p_9 )).
% 12.18/12.36 cnf(matrix-16, plain, ( p_7 | ~q_8 | ~q_9 )).
% 12.18/12.36 cnf(matrix-17, plain, ( p_8 | ~p_9 | ~p_10 )).
% 12.18/12.36 cnf(matrix-18, plain, ( p_8 | ~q_9 | ~q_10 )).
% 12.18/12.36 cnf(matrix-19, plain, ( p_9 | ~p_10 | ~p_11 )).
% 12.18/12.36 cnf(matrix-20, plain, ( p_9 | ~q_10 | ~q_11 )).
% 12.18/12.36 cnf(matrix-21, plain, ( p_10 | ~p_11 | ~p_12 )).
% 12.18/12.36 cnf(matrix-22, plain, ( p_10 | ~q_11 | ~q_12 )).
% 12.18/12.36 cnf(matrix-23, plain, ( p_11 | ~p_12 | ~p_13 )).
% 12.18/12.36 cnf(matrix-24, plain, ( p_11 | ~q_12 | ~q_13 )).
% 12.18/12.36 cnf(matrix-25, plain, ( p_12 | ~p_13 | ~p_14 )).
% 12.18/12.36 cnf(matrix-26, plain, ( p_12 | ~q_13 | ~q_14 )).
% 12.18/12.36 cnf(matrix-27, plain, ( p_13 | ~p_14 | ~p_15 )).
% 12.18/12.36 cnf(matrix-28, plain, ( p_13 | ~q_14 | ~q_15 )).
% 12.18/12.36 cnf(matrix-29, plain, ( q_0 | ~p_1 | ~q_2 )).
% 12.18/12.36 cnf(matrix-30, plain, ( q_0 | ~q_1 | ~p_2 )).
% 12.18/12.36 cnf(matrix-31, plain, ( q_1 | ~p_2 | ~q_3 )).
% 12.18/12.36 cnf(matrix-32, plain, ( q_1 | ~q_2 | ~p_3 )).
% 12.18/12.36 cnf(matrix-33, plain, ( q_2 | ~p_3 | ~q_4 )).
% 12.18/12.36 cnf(matrix-34, plain, ( q_2 | ~q_3 | ~p_4 )).
% 12.18/12.36 cnf(matrix-35, plain, ( q_3 | ~p_4 | ~q_5 )).
% 12.18/12.36 cnf(matrix-36, plain, ( q_3 | ~q_4 | ~p_5 )).
% 12.18/12.36 cnf(matrix-37, plain, ( q_4 | ~p_5 | ~q_6 )).
% 12.18/12.36 cnf(matrix-38, plain, ( q_4 | ~q_5 | ~p_6 )).
% 12.18/12.36 cnf(matrix-39, plain, ( q_5 | ~p_6 | ~q_7 )).
% 12.18/12.36 cnf(matrix-40, plain, ( q_5 | ~q_6 | ~p_7 )).
% 12.18/12.36 cnf(matrix-41, plain, ( q_6 | ~p_7 | ~q_8 )).
% 12.18/12.36 cnf(matrix-42, plain, ( q_6 | ~q_7 | ~p_8 )).
% 12.18/12.36 cnf(matrix-43, plain, ( q_7 | ~p_8 | ~q_9 )).
% 12.18/12.36 cnf(matrix-44, plain, ( q_7 | ~q_8 | ~p_9 )).
% 12.18/12.36 cnf(matrix-45, plain, ( q_8 | ~p_9 | ~q_10 )).
% 12.18/12.36 cnf(matrix-46, plain, ( q_8 | ~q_9 | ~p_10 )).
% 12.18/12.36 cnf(matrix-47, plain, ( q_9 | ~p_10 | ~q_11 )).
% 12.18/12.36 cnf(matrix-48, plain, ( q_9 | ~q_10 | ~p_11 )).
% 12.18/12.36 cnf(matrix-49, plain, ( q_10 | ~p_11 | ~q_12 )).
% 12.18/12.36 cnf(matrix-50, plain, ( q_10 | ~q_11 | ~p_12 )).
% 12.18/12.36 cnf(matrix-51, plain, ( q_11 | ~p_12 | ~q_13 )).
% 12.18/12.36 cnf(matrix-52, plain, ( q_11 | ~q_12 | ~p_13 )).
% 12.18/12.36 cnf(matrix-53, plain, ( q_12 | ~p_13 | ~q_14 )).
% 12.18/12.36 cnf(matrix-54, plain, ( q_12 | ~q_13 | ~p_14 )).
% 12.18/12.36 cnf(matrix-55, plain, ( q_13 | ~p_14 | ~q_15 )).
% 12.18/12.36 cnf(matrix-56, plain, ( q_13 | ~q_14 | ~p_15 )).
% 12.18/12.36 cnf(matrix-57, plain, ( p_15 | ~p_7 )).
% 12.18/12.36 cnf(matrix-58, plain, ( p_16 | ~p_8 )).
% 12.18/12.36 cnf(matrix-59, plain, ( q_15 | ~q_7 )).
% 12.18/12.36 cnf(matrix-60, plain, ( q_16 | ~q_8 )).
% 12.18/12.36 cnf(matrix-61, plain, ( p_14 )).
% 12.18/12.36 cnf(matrix-62, plain, ( p_15 )).
% 12.18/12.36 cnf(matrix-63, plain, ( q_14 )).
% 12.18/12.36 cnf(matrix-64, plain, ( q_15 )).
% 12.18/12.36
% 12.18/12.36 % Proof stack:
% 12.18/12.36 cnf(proof-stack, plain,
% 12.18/12.36 proof_stack(
% 12.18/12.36 start(0),
% 12.18/12.36 left_branch(0, 2, 0, 2),
% 12.18/12.36 left_branch(0, 34, 0, 3),
% 12.18/12.36 left_branch(0, 10, 0, 4),
% 12.18/12.36 left_branch(0, 42, 0, 5),
% 12.18/12.36 left_branch(0, 18, 0, 6),
% 12.18/12.36 left_branch(0, 50, 0, 7),
% 12.18/12.36 left_branch(0, 26, 0, 8),
% 12.18/12.36 left_branch(0, 63, 0, 9),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 left_branch(0, 56, 0, 10),
% 12.18/12.36 left_branch(0, 62, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 lemmata(0, 0),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 left_branch(0, 52, 0, 9),
% 12.18/12.36 left_branch(0, 28, 0, 10),
% 12.18/12.36 left_branch(0, 64, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 right_branch(7),
% 12.18/12.36 left_branch(0, 48, 0, 8),
% 12.18/12.36 left_branch(0, 24, 0, 9),
% 12.18/12.36 left_branch(0, 56, 0, 10),
% 12.18/12.36 left_branch(0, 62, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 lemmata(0, 1),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 lemmata(0, 0),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 right_branch(6),
% 12.18/12.36 left_branch(0, 44, 0, 7),
% 12.18/12.36 left_branch(0, 20, 0, 8),
% 12.18/12.36 left_branch(0, 52, 0, 9),
% 12.18/12.36 left_branch(0, 28, 0, 10),
% 12.18/12.36 left_branch(0, 64, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 left_branch(0, 50, 0, 10),
% 12.18/12.36 left_branch(0, 26, 0, 11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 lemmata(0, 1),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 left_branch(0, 46, 0, 9),
% 12.18/12.36 left_branch(0, 22, 0, 10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 52, 0, 12),
% 12.18/12.36 left_branch(0, 28, 0, 13),
% 12.18/12.36 left_branch(0, 64, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 48, 0, 11),
% 12.18/12.36 left_branch(0, 24, 0, 12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 54, 0, 14),
% 12.18/12.36 left_branch(0, 61, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 50, 0, 13),
% 12.18/12.36 left_branch(0, 26, 0, 14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 56, 0, 16),
% 12.18/12.36 left_branch(0, 62, 0, 17),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 52, 0, 15),
% 12.18/12.36 left_branch(0, 28, 0, 16),
% 12.18/12.36 left_branch(0, 64, 0, 17),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 63, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 53, 0, 17),
% 12.18/12.36 left_branch(0, 63, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 right_branch(7),
% 12.18/12.36 right_branch(5),
% 12.18/12.36 left_branch(0, 40, 0, 6),
% 12.18/12.36 left_branch(0, 16, 0, 7),
% 12.18/12.36 left_branch(0, 48, 0, 8),
% 12.18/12.36 left_branch(0, 24, 0, 9),
% 12.18/12.36 left_branch(0, 56, 0, 10),
% 12.18/12.36 left_branch(0, 62, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 lemmata(0, 1),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 left_branch(0, 50, 0, 10),
% 12.18/12.36 left_branch(0, 26, 0, 11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 52, 0, 12),
% 12.18/12.36 left_branch(0, 28, 0, 13),
% 12.18/12.36 left_branch(0, 64, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 54, 0, 14),
% 12.18/12.36 left_branch(0, 61, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 56, 0, 16),
% 12.18/12.36 left_branch(0, 62, 0, 17),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 63, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 left_branch(0, 46, 0, 9),
% 12.18/12.36 left_branch(0, 22, 0, 10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 52, 0, 12),
% 12.18/12.36 left_branch(0, 28, 0, 13),
% 12.18/12.36 left_branch(0, 64, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 lemmata(0, 1),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 right_branch(7),
% 12.18/12.36 lemmata(0, 0),
% 12.18/12.36 right_branch(6),
% 12.18/12.36 right_branch(4),
% 12.18/12.36 left_branch(0, 36, 0, 5),
% 12.18/12.36 left_branch(0, 12, 0, 6),
% 12.18/12.36 left_branch(0, 44, 0, 7),
% 12.18/12.36 left_branch(0, 20, 0, 8),
% 12.18/12.36 left_branch(0, 52, 0, 9),
% 12.18/12.36 left_branch(0, 28, 0, 10),
% 12.18/12.36 left_branch(0, 64, 0, 11),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 left_branch(0, 50, 0, 10),
% 12.18/12.36 left_branch(0, 26, 0, 11),
% 12.18/12.36 left_branch(0, 63, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 lemmata(0, 1),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 left_branch(0, 46, 0, 9),
% 12.18/12.36 left_branch(0, 22, 0, 10),
% 12.18/12.36 left_branch(0, 54, 0, 11),
% 12.18/12.36 left_branch(0, 61, 0, 12),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 56, 0, 13),
% 12.18/12.36 left_branch(0, 62, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 52, 0, 12),
% 12.18/12.36 left_branch(0, 28, 0, 13),
% 12.18/12.36 left_branch(0, 64, 0, 14),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 63, 0, 15),
% 12.18/12.36 right_branch(15),
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% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 50, 0, 14),
% 12.18/12.36 left_branch(0, 26, 0, 15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 53, 0, 18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 lemmata(0, 6),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 44, 0, 11),
% 12.18/12.36 left_branch(0, 20, 0, 12),
% 12.18/12.36 left_branch(0, 52, 0, 13),
% 12.18/12.36 left_branch(0, 28, 0, 14),
% 12.18/12.36 left_branch(0, 64, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 50, 0, 14),
% 12.18/12.36 left_branch(0, 26, 0, 15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 lemmata(0, 2),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 right_branch(6),
% 12.18/12.36 left_branch(0, 34, 0, 7),
% 12.18/12.36 left_branch(0, 10, 0, 8),
% 12.18/12.36 left_branch(0, 42, 0, 9),
% 12.18/12.36 left_branch(0, 18, 0, 10),
% 12.18/12.36 left_branch(0, 50, 0, 11),
% 12.18/12.36 left_branch(0, 26, 0, 12),
% 12.18/12.36 left_branch(0, 63, 0, 13),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 56, 0, 14),
% 12.18/12.36 left_branch(0, 62, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 52, 0, 13),
% 12.18/12.36 left_branch(0, 28, 0, 14),
% 12.18/12.36 left_branch(0, 64, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 48, 0, 12),
% 12.18/12.36 left_branch(0, 24, 0, 13),
% 12.18/12.36 left_branch(0, 56, 0, 14),
% 12.18/12.36 left_branch(0, 62, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 left_branch(0, 44, 0, 11),
% 12.18/12.36 left_branch(0, 20, 0, 12),
% 12.18/12.36 left_branch(0, 52, 0, 13),
% 12.18/12.36 left_branch(0, 28, 0, 14),
% 12.18/12.36 left_branch(0, 64, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 50, 0, 14),
% 12.18/12.36 left_branch(0, 26, 0, 15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 46, 0, 13),
% 12.18/12.36 left_branch(0, 22, 0, 14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 47, 0, 15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 53, 0, 18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 lemmata(0, 6),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 left_branch(0, 40, 0, 10),
% 12.18/12.36 left_branch(0, 16, 0, 11),
% 12.18/12.36 left_branch(0, 48, 0, 12),
% 12.18/12.36 left_branch(0, 24, 0, 13),
% 12.18/12.36 left_branch(0, 56, 0, 14),
% 12.18/12.36 left_branch(0, 62, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 50, 0, 14),
% 12.18/12.36 left_branch(0, 26, 0, 15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 53, 0, 18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 lemmata(0, 6),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 46, 0, 13),
% 12.18/12.36 left_branch(0, 22, 0, 14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 right_branch(8),
% 12.18/12.36 left_branch(0, 35, 0, 9),
% 12.18/12.36 left_branch(0, 40, 0, 10),
% 12.18/12.36 left_branch(0, 16, 0, 11),
% 12.18/12.36 left_branch(0, 48, 0, 12),
% 12.18/12.36 left_branch(0, 24, 0, 13),
% 12.18/12.36 left_branch(0, 56, 0, 14),
% 12.18/12.36 left_branch(0, 62, 0, 15),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 left_branch(0, 50, 0, 14),
% 12.18/12.36 left_branch(0, 26, 0, 15),
% 12.18/12.36 left_branch(0, 63, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 53, 0, 18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 lemmata(0, 6),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 left_branch(0, 46, 0, 13),
% 12.18/12.36 left_branch(0, 22, 0, 14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 right_branch(11),
% 12.18/12.36 left_branch(0, 41, 0, 12),
% 12.18/12.36 left_branch(0, 46, 0, 13),
% 12.18/12.36 left_branch(0, 22, 0, 14),
% 12.18/12.36 left_branch(0, 54, 0, 15),
% 12.18/12.36 left_branch(0, 61, 0, 16),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 left_branch(0, 56, 0, 17),
% 12.18/12.36 left_branch(0, 62, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 right_branch(14),
% 12.18/12.36 left_branch(0, 47, 0, 15),
% 12.18/12.36 left_branch(0, 52, 0, 16),
% 12.18/12.36 left_branch(0, 28, 0, 17),
% 12.18/12.36 left_branch(0, 64, 0, 18),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 right_branch(17),
% 12.18/12.36 left_branch(0, 53, 0, 18),
% 12.18/12.36 left_branch(0, 63, 0, 19),
% 12.18/12.36 right_branch(19),
% 12.18/12.36 lemmata(0, 6),
% 12.18/12.36 right_branch(18),
% 12.18/12.36 right_branch(16),
% 12.18/12.36 lemmata(0, 5),
% 12.18/12.36 right_branch(15),
% 12.18/12.36 right_branch(13),
% 12.18/12.36 lemmata(0, 4),
% 12.18/12.36 right_branch(12),
% 12.18/12.36 right_branch(10),
% 12.18/12.36 lemmata(0, 3),
% 12.18/12.36 right_branch(9),
% 12.18/12.36 right_branch(7),
% 12.18/12.36 right_branch(5),
% 12.18/12.36 right_branch(3)
% 12.18/12.36 )).
% 12.18/12.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------