TSTP Solution File: PUZ016-2.005 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PUZ016-2.005 : 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 : Mon Mar 25 14:28:58 EDT 2024
% Result : Unsatisfiable 20.54s 20.76s
% Output : Proof 20.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : PUZ016-2.005 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n020.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 : Wed Mar 20 23:20:28 EDT 2024
% 0.14/0.34 % CPUTime :
% 20.54/20.76 % SZS status Unsatisfiable for theBenchmark
% 20.54/20.76 % SZS output start Proof for theBenchmark
% 20.54/20.76
% 20.54/20.76 % Problem matrix:
% 20.54/20.76 cnf(matrix-0, plain, ( ~horizontal_1_2 )).
% 20.54/20.76 cnf(matrix-1, plain, ( ~horizontal_1_3 )).
% 20.54/20.76 cnf(matrix-2, plain, ( ~vertical_1_2 )).
% 20.54/20.76 cnf(matrix-3, plain, ( ~vertical_1_3 )).
% 20.54/20.76 cnf(matrix-4, plain, ( ~horizontal_1_1 )).
% 20.54/20.76 cnf(matrix-5, plain, ( ~horizontal_1_2 )).
% 20.54/20.76 cnf(matrix-6, plain, ( horizontal_1_1 | vertical_1_1 )).
% 20.54/20.76 cnf(matrix-7, plain, ( horizontal_1_4 | vertical_1_4 | horizontal_1_3 )).
% 20.54/20.76 cnf(matrix-8, plain, ( vertical_1_5 | horizontal_1_4 )).
% 20.54/20.76 cnf(matrix-9, plain, ( horizontal_2_1 | vertical_2_1 | vertical_1_1 )).
% 20.54/20.76 cnf(matrix-10, plain, ( horizontal_2_2 | vertical_2_2 | horizontal_2_1 | vertical_1_2 )).
% 20.54/20.76 cnf(matrix-11, plain, ( horizontal_2_3 | vertical_2_3 | horizontal_2_2 | vertical_1_3 )).
% 20.54/20.76 cnf(matrix-12, plain, ( horizontal_2_4 | vertical_2_4 | horizontal_2_3 | vertical_1_4 )).
% 20.54/20.76 cnf(matrix-13, plain, ( vertical_2_5 | horizontal_2_4 | vertical_1_5 )).
% 20.54/20.76 cnf(matrix-14, plain, ( horizontal_3_1 | vertical_3_1 | vertical_2_1 )).
% 20.54/20.76 cnf(matrix-15, plain, ( horizontal_3_2 | vertical_3_2 | horizontal_3_1 | vertical_2_2 )).
% 20.54/20.76 cnf(matrix-16, plain, ( horizontal_3_3 | vertical_3_3 | horizontal_3_2 | vertical_2_3 )).
% 20.54/20.76 cnf(matrix-17, plain, ( horizontal_3_4 | vertical_3_4 | horizontal_3_3 | vertical_2_4 )).
% 20.54/20.76 cnf(matrix-18, plain, ( vertical_3_5 | horizontal_3_4 | vertical_2_5 )).
% 20.54/20.76 cnf(matrix-19, plain, ( horizontal_4_1 | vertical_4_1 | vertical_3_1 )).
% 20.54/20.76 cnf(matrix-20, plain, ( horizontal_4_2 | vertical_4_2 | horizontal_4_1 | vertical_3_2 )).
% 20.54/20.76 cnf(matrix-21, plain, ( horizontal_4_3 | vertical_4_3 | horizontal_4_2 | vertical_3_3 )).
% 20.54/20.76 cnf(matrix-22, plain, ( horizontal_4_4 | vertical_4_4 | horizontal_4_3 | vertical_3_4 )).
% 20.54/20.76 cnf(matrix-23, plain, ( vertical_4_5 | horizontal_4_4 | vertical_3_5 )).
% 20.54/20.76 cnf(matrix-24, plain, ( horizontal_5_1 | vertical_4_1 )).
% 20.54/20.76 cnf(matrix-25, plain, ( horizontal_5_2 | horizontal_5_1 | vertical_4_2 )).
% 20.54/20.76 cnf(matrix-26, plain, ( horizontal_5_3 | horizontal_5_2 | vertical_4_3 )).
% 20.54/20.76 cnf(matrix-27, plain, ( horizontal_5_4 | horizontal_5_3 | vertical_4_4 )).
% 20.54/20.76 cnf(matrix-28, plain, ( horizontal_5_4 | vertical_4_5 )).
% 20.54/20.76 cnf(matrix-29, plain, ( ~horizontal_1_1 | ~vertical_1_1 )).
% 20.54/20.76 cnf(matrix-30, plain, ( ~horizontal_1_4 | ~vertical_1_4 )).
% 20.54/20.76 cnf(matrix-31, plain, ( ~horizontal_1_4 | ~horizontal_1_3 )).
% 20.54/20.76 cnf(matrix-32, plain, ( ~vertical_1_4 | ~horizontal_1_3 )).
% 20.54/20.76 cnf(matrix-33, plain, ( ~vertical_1_5 | ~horizontal_1_4 )).
% 20.54/20.76 cnf(matrix-34, plain, ( ~horizontal_2_1 | ~vertical_2_1 )).
% 20.54/20.76 cnf(matrix-35, plain, ( ~horizontal_2_1 | ~vertical_1_1 )).
% 20.54/20.76 cnf(matrix-36, plain, ( ~vertical_2_1 | ~vertical_1_1 )).
% 20.54/20.76 cnf(matrix-37, plain, ( ~horizontal_2_2 | ~vertical_2_2 )).
% 20.54/20.76 cnf(matrix-38, plain, ( ~horizontal_2_2 | ~horizontal_2_1 )).
% 20.54/20.76 cnf(matrix-39, plain, ( ~horizontal_2_2 | ~vertical_1_2 )).
% 20.54/20.76 cnf(matrix-40, plain, ( ~vertical_2_2 | ~horizontal_2_1 )).
% 20.54/20.76 cnf(matrix-41, plain, ( ~vertical_2_2 | ~vertical_1_2 )).
% 20.54/20.76 cnf(matrix-42, plain, ( ~horizontal_2_1 | ~vertical_1_2 )).
% 20.54/20.76 cnf(matrix-43, plain, ( ~horizontal_2_3 | ~vertical_2_3 )).
% 20.54/20.76 cnf(matrix-44, plain, ( ~horizontal_2_3 | ~horizontal_2_2 )).
% 20.54/20.76 cnf(matrix-45, plain, ( ~horizontal_2_3 | ~vertical_1_3 )).
% 20.54/20.76 cnf(matrix-46, plain, ( ~vertical_2_3 | ~horizontal_2_2 )).
% 20.54/20.76 cnf(matrix-47, plain, ( ~vertical_2_3 | ~vertical_1_3 )).
% 20.54/20.76 cnf(matrix-48, plain, ( ~horizontal_2_2 | ~vertical_1_3 )).
% 20.54/20.76 cnf(matrix-49, plain, ( ~horizontal_2_4 | ~vertical_2_4 )).
% 20.54/20.76 cnf(matrix-50, plain, ( ~horizontal_2_4 | ~horizontal_2_3 )).
% 20.54/20.76 cnf(matrix-51, plain, ( ~horizontal_2_4 | ~vertical_1_4 )).
% 20.54/20.76 cnf(matrix-52, plain, ( ~vertical_2_4 | ~horizontal_2_3 )).
% 20.54/20.76 cnf(matrix-53, plain, ( ~vertical_2_4 | ~vertical_1_4 )).
% 20.54/20.76 cnf(matrix-54, plain, ( ~horizontal_2_3 | ~vertical_1_4 )).
% 20.54/20.76 cnf(matrix-55, plain, ( ~vertical_2_5 | ~horizontal_2_4 )).
% 20.54/20.76 cnf(matrix-56, plain, ( ~vertical_2_5 | ~vertical_1_5 )).
% 20.54/20.76 cnf(matrix-57, plain, ( ~horizontal_2_4 | ~vertical_1_5 )).
% 20.54/20.76 cnf(matrix-58, plain, ( ~horizontal_3_1 | ~vertical_3_1 )).
% 20.54/20.76 cnf(matrix-59, plain, ( ~horizontal_3_1 | ~vertical_2_1 )).
% 20.54/20.76 cnf(matrix-60, plain, ( ~vertical_3_1 | ~vertical_2_1 )).
% 20.54/20.76 cnf(matrix-61, plain, ( ~horizontal_3_2 | ~vertical_3_2 )).
% 20.54/20.76 cnf(matrix-62, plain, ( ~horizontal_3_2 | ~horizontal_3_1 )).
% 20.54/20.76 cnf(matrix-63, plain, ( ~horizontal_3_2 | ~vertical_2_2 )).
% 20.54/20.76 cnf(matrix-64, plain, ( ~vertical_3_2 | ~horizontal_3_1 )).
% 20.54/20.76 cnf(matrix-65, plain, ( ~vertical_3_2 | ~vertical_2_2 )).
% 20.54/20.76 cnf(matrix-66, plain, ( ~horizontal_3_1 | ~vertical_2_2 )).
% 20.54/20.76 cnf(matrix-67, plain, ( ~horizontal_3_3 | ~vertical_3_3 )).
% 20.54/20.76 cnf(matrix-68, plain, ( ~horizontal_3_3 | ~horizontal_3_2 )).
% 20.54/20.76 cnf(matrix-69, plain, ( ~horizontal_3_3 | ~vertical_2_3 )).
% 20.54/20.76 cnf(matrix-70, plain, ( ~vertical_3_3 | ~horizontal_3_2 )).
% 20.54/20.76 cnf(matrix-71, plain, ( ~vertical_3_3 | ~vertical_2_3 )).
% 20.54/20.76 cnf(matrix-72, plain, ( ~horizontal_3_2 | ~vertical_2_3 )).
% 20.54/20.76 cnf(matrix-73, plain, ( ~horizontal_3_4 | ~vertical_3_4 )).
% 20.54/20.76 cnf(matrix-74, plain, ( ~horizontal_3_4 | ~horizontal_3_3 )).
% 20.54/20.76 cnf(matrix-75, plain, ( ~horizontal_3_4 | ~vertical_2_4 )).
% 20.54/20.76 cnf(matrix-76, plain, ( ~vertical_3_4 | ~horizontal_3_3 )).
% 20.54/20.76 cnf(matrix-77, plain, ( ~vertical_3_4 | ~vertical_2_4 )).
% 20.54/20.76 cnf(matrix-78, plain, ( ~horizontal_3_3 | ~vertical_2_4 )).
% 20.54/20.77 cnf(matrix-79, plain, ( ~vertical_3_5 | ~horizontal_3_4 )).
% 20.54/20.77 cnf(matrix-80, plain, ( ~vertical_3_5 | ~vertical_2_5 )).
% 20.54/20.77 cnf(matrix-81, plain, ( ~horizontal_3_4 | ~vertical_2_5 )).
% 20.54/20.77 cnf(matrix-82, plain, ( ~horizontal_4_1 | ~vertical_4_1 )).
% 20.54/20.77 cnf(matrix-83, plain, ( ~horizontal_4_1 | ~vertical_3_1 )).
% 20.54/20.77 cnf(matrix-84, plain, ( ~vertical_4_1 | ~vertical_3_1 )).
% 20.54/20.77 cnf(matrix-85, plain, ( ~horizontal_4_2 | ~vertical_4_2 )).
% 20.54/20.77 cnf(matrix-86, plain, ( ~horizontal_4_2 | ~horizontal_4_1 )).
% 20.54/20.77 cnf(matrix-87, plain, ( ~horizontal_4_2 | ~vertical_3_2 )).
% 20.54/20.77 cnf(matrix-88, plain, ( ~vertical_4_2 | ~horizontal_4_1 )).
% 20.54/20.77 cnf(matrix-89, plain, ( ~vertical_4_2 | ~vertical_3_2 )).
% 20.54/20.77 cnf(matrix-90, plain, ( ~horizontal_4_1 | ~vertical_3_2 )).
% 20.54/20.77 cnf(matrix-91, plain, ( ~horizontal_4_3 | ~vertical_4_3 )).
% 20.54/20.77 cnf(matrix-92, plain, ( ~horizontal_4_3 | ~horizontal_4_2 )).
% 20.54/20.77 cnf(matrix-93, plain, ( ~horizontal_4_3 | ~vertical_3_3 )).
% 20.54/20.77 cnf(matrix-94, plain, ( ~vertical_4_3 | ~horizontal_4_2 )).
% 20.54/20.77 cnf(matrix-95, plain, ( ~vertical_4_3 | ~vertical_3_3 )).
% 20.54/20.77 cnf(matrix-96, plain, ( ~horizontal_4_2 | ~vertical_3_3 )).
% 20.54/20.77 cnf(matrix-97, plain, ( ~horizontal_4_4 | ~vertical_4_4 )).
% 20.54/20.77 cnf(matrix-98, plain, ( ~horizontal_4_4 | ~horizontal_4_3 )).
% 20.54/20.77 cnf(matrix-99, plain, ( ~horizontal_4_4 | ~vertical_3_4 )).
% 20.54/20.77 cnf(matrix-100, plain, ( ~vertical_4_4 | ~horizontal_4_3 )).
% 20.54/20.77 cnf(matrix-101, plain, ( ~vertical_4_4 | ~vertical_3_4 )).
% 20.54/20.77 cnf(matrix-102, plain, ( ~horizontal_4_3 | ~vertical_3_4 )).
% 20.54/20.77 cnf(matrix-103, plain, ( ~vertical_4_5 | ~horizontal_4_4 )).
% 20.54/20.77 cnf(matrix-104, plain, ( ~vertical_4_5 | ~vertical_3_5 )).
% 20.54/20.77 cnf(matrix-105, plain, ( ~horizontal_4_4 | ~vertical_3_5 )).
% 20.54/20.77 cnf(matrix-106, plain, ( ~horizontal_5_1 | ~vertical_4_1 )).
% 20.54/20.77 cnf(matrix-107, plain, ( ~horizontal_5_2 | ~horizontal_5_1 )).
% 20.54/20.77 cnf(matrix-108, plain, ( ~horizontal_5_2 | ~vertical_4_2 )).
% 20.54/20.77 cnf(matrix-109, plain, ( ~horizontal_5_1 | ~vertical_4_2 )).
% 20.54/20.77 cnf(matrix-110, plain, ( ~horizontal_5_3 | ~horizontal_5_2 )).
% 20.54/20.77 cnf(matrix-111, plain, ( ~horizontal_5_3 | ~vertical_4_3 )).
% 20.54/20.77 cnf(matrix-112, plain, ( ~horizontal_5_2 | ~vertical_4_3 )).
% 20.54/20.77 cnf(matrix-113, plain, ( ~horizontal_5_4 | ~horizontal_5_3 )).
% 20.54/20.77 cnf(matrix-114, plain, ( ~horizontal_5_4 | ~vertical_4_4 )).
% 20.54/20.77 cnf(matrix-115, plain, ( ~horizontal_5_3 | ~vertical_4_4 )).
% 20.54/20.77 cnf(matrix-116, plain, ( ~horizontal_5_4 | ~vertical_4_5 )).
% 20.54/20.77
% 20.54/20.77 % Proof stack:
% 20.54/20.77 cnf(proof-stack, plain,
% 20.54/20.77 proof_stack(
% 20.54/20.77 start(15),
% 20.54/20.77 left_branch(0, 70, 1, 2),
% 20.54/20.77 left_branch(0, 21, 3, 3),
% 20.54/20.77 left_branch(0, 100, 1, 4),
% 20.54/20.77 left_branch(0, 27, 2, 5),
% 20.54/20.77 left_branch(0, 116, 0, 6),
% 20.54/20.77 left_branch(0, 23, 0, 7),
% 20.54/20.77 left_branch(0, 80, 0, 8),
% 20.54/20.77 left_branch(0, 13, 0, 9),
% 20.54/20.77 left_branch(0, 57, 1, 10),
% 20.54/20.77 left_branch(0, 12, 0, 11),
% 20.54/20.77 left_branch(0, 53, 1, 12),
% 20.54/20.77 left_branch(0, 17, 3, 13),
% 20.54/20.77 left_branch(0, 79, 1, 14),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 left_branch(0, 68, 0, 15),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 left_branch(0, 102, 1, 16),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 left_branch(0, 54, 0, 13),
% 20.54/20.77 left_branch(0, 7, 1, 14),
% 20.54/20.77 left_branch(0, 33, 1, 15),
% 20.54/20.77 reduction(0, 8),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 left_branch(0, 1, 0, 16),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 53, 0, 14),
% 20.54/20.77 left_branch(0, 7, 1, 15),
% 20.54/20.77 left_branch(0, 33, 1, 16),
% 20.54/20.77 reduction(0, 8),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 left_branch(0, 1, 0, 17),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 left_branch(0, 49, 0, 11),
% 20.54/20.77 left_branch(0, 17, 3, 12),
% 20.54/20.77 left_branch(0, 79, 1, 13),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 68, 0, 14),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 left_branch(0, 102, 1, 15),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 right_branch(8),
% 20.54/20.77 left_branch(0, 98, 0, 9),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 right_branch(7),
% 20.54/20.77 right_branch(6),
% 20.54/20.77 left_branch(0, 110, 0, 7),
% 20.54/20.77 left_branch(0, 25, 0, 8),
% 20.54/20.77 left_branch(0, 109, 1, 9),
% 20.54/20.77 left_branch(0, 24, 0, 10),
% 20.54/20.77 left_branch(0, 84, 0, 11),
% 20.54/20.77 left_branch(0, 14, 1, 12),
% 20.54/20.77 left_branch(0, 62, 1, 13),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 36, 0, 14),
% 20.54/20.77 left_branch(0, 6, 1, 15),
% 20.54/20.77 left_branch(0, 4, 0, 16),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 left_branch(0, 109, 0, 10),
% 20.54/20.77 left_branch(0, 20, 1, 11),
% 20.54/20.77 left_branch(0, 92, 1, 12),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 left_branch(0, 83, 0, 13),
% 20.54/20.77 left_branch(0, 14, 1, 14),
% 20.54/20.77 left_branch(0, 62, 1, 15),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 left_branch(0, 36, 0, 16),
% 20.54/20.77 left_branch(0, 6, 1, 17),
% 20.54/20.77 left_branch(0, 4, 0, 18),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 61, 1, 14),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(8),
% 20.54/20.77 right_branch(7),
% 20.54/20.77 right_branch(5),
% 20.54/20.77 right_branch(4),
% 20.54/20.77 left_branch(0, 94, 1, 5),
% 20.54/20.77 left_branch(0, 26, 2, 6),
% 20.54/20.77 left_branch(0, 115, 0, 7),
% 20.54/20.77 left_branch(0, 22, 1, 8),
% 20.54/20.77 left_branch(0, 103, 1, 9),
% 20.54/20.77 left_branch(0, 28, 1, 10),
% 20.54/20.77 left_branch(0, 113, 0, 11),
% 20.54/20.77 reduction(0, 4),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 left_branch(0, 73, 1, 11),
% 20.54/20.77 left_branch(0, 18, 1, 12),
% 20.54/20.77 left_branch(0, 104, 1, 13),
% 20.54/20.77 left_branch(0, 28, 1, 14),
% 20.54/20.77 left_branch(0, 113, 0, 15),
% 20.54/20.77 reduction(0, 4),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 55, 0, 14),
% 20.54/20.77 left_branch(0, 12, 0, 15),
% 20.54/20.77 left_branch(0, 30, 1, 16),
% 20.54/20.77 left_branch(0, 8, 1, 17),
% 20.54/20.77 left_branch(0, 56, 1, 18),
% 20.54/20.77 reduction(0, 8),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 left_branch(0, 44, 0, 17),
% 20.54/20.77 left_branch(0, 10, 0, 18),
% 20.54/20.77 left_branch(0, 2, 0, 19),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 35, 0, 20),
% 20.54/20.77 left_branch(0, 6, 1, 21),
% 20.54/20.77 left_branch(0, 4, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 63, 1, 21),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 left_branch(0, 77, 1, 18),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(8),
% 20.54/20.77 right_branch(7),
% 20.54/20.77 left_branch(0, 107, 0, 8),
% 20.54/20.77 left_branch(0, 24, 0, 9),
% 20.54/20.77 left_branch(0, 84, 0, 10),
% 20.54/20.77 left_branch(0, 14, 1, 11),
% 20.54/20.77 left_branch(0, 62, 1, 12),
% 20.54/20.77 reduction(0, 0),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 left_branch(0, 36, 0, 13),
% 20.54/20.77 left_branch(0, 6, 1, 14),
% 20.54/20.77 left_branch(0, 4, 0, 15),
% 20.54/20.77 right_branch(15),
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% 20.54/20.77 right_branch(15),
% 20.54/20.77 left_branch(0, 54, 1, 16),
% 20.54/20.77 left_branch(0, 11, 0, 17),
% 20.54/20.77 left_branch(0, 48, 1, 18),
% 20.54/20.77 left_branch(0, 10, 0, 19),
% 20.54/20.77 left_branch(0, 2, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 35, 0, 21),
% 20.54/20.77 left_branch(0, 6, 1, 22),
% 20.54/20.77 left_branch(0, 4, 0, 23),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 left_branch(0, 46, 1, 19),
% 20.54/20.77 left_branch(0, 16, 3, 20),
% 20.54/20.77 left_branch(0, 74, 1, 21),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 left_branch(0, 93, 1, 23),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 46, 0, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 left_branch(0, 104, 1, 10),
% 20.54/20.77 left_branch(0, 28, 1, 11),
% 20.54/20.77 left_branch(0, 113, 0, 12),
% 20.54/20.77 left_branch(0, 26, 0, 13),
% 20.54/20.77 left_branch(0, 91, 1, 14),
% 20.54/20.77 reduction(0, 2),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 left_branch(0, 107, 0, 15),
% 20.54/20.77 left_branch(0, 24, 0, 16),
% 20.54/20.77 left_branch(0, 84, 0, 17),
% 20.54/20.77 left_branch(0, 14, 1, 18),
% 20.54/20.77 lemmata(0, 2),
% 20.54/20.77 left_branch(0, 36, 0, 20),
% 20.54/20.77 left_branch(0, 6, 1, 21),
% 20.54/20.77 left_branch(0, 4, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(8),
% 20.54/20.77 right_branch(7),
% 20.54/20.77 left_branch(0, 95, 1, 8),
% 20.54/20.77 left_branch(0, 26, 2, 9),
% 20.54/20.77 left_branch(0, 115, 0, 10),
% 20.54/20.77 left_branch(0, 22, 1, 11),
% 20.54/20.77 left_branch(0, 103, 1, 12),
% 20.54/20.77 left_branch(0, 28, 1, 13),
% 20.54/20.77 left_branch(0, 113, 0, 14),
% 20.54/20.77 reduction(0, 4),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 lemmata(0, 3),
% 20.54/20.77 left_branch(0, 73, 1, 14),
% 20.54/20.77 left_branch(0, 18, 1, 15),
% 20.54/20.77 left_branch(0, 104, 1, 16),
% 20.54/20.77 left_branch(0, 28, 1, 17),
% 20.54/20.77 left_branch(0, 113, 0, 18),
% 20.54/20.77 reduction(0, 4),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 left_branch(0, 55, 0, 17),
% 20.54/20.77 left_branch(0, 12, 0, 18),
% 20.54/20.77 left_branch(0, 30, 1, 19),
% 20.54/20.77 left_branch(0, 8, 1, 20),
% 20.54/20.77 left_branch(0, 56, 1, 21),
% 20.54/20.77 reduction(0, 8),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 44, 0, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 77, 1, 21),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 left_branch(0, 107, 0, 11),
% 20.54/20.77 left_branch(0, 24, 0, 12),
% 20.54/20.77 left_branch(0, 84, 0, 13),
% 20.54/20.77 left_branch(0, 14, 1, 14),
% 20.54/20.77 lemmata(0, 2),
% 20.54/20.77 left_branch(0, 36, 0, 16),
% 20.54/20.77 left_branch(0, 6, 1, 17),
% 20.54/20.77 left_branch(0, 4, 0, 18),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 right_branch(8),
% 20.54/20.77 left_branch(0, 111, 1, 9),
% 20.54/20.77 left_branch(0, 27, 1, 10),
% 20.54/20.77 left_branch(0, 116, 0, 11),
% 20.54/20.77 left_branch(0, 23, 0, 12),
% 20.54/20.77 left_branch(0, 105, 1, 13),
% 20.54/20.77 left_branch(0, 22, 0, 14),
% 20.54/20.77 left_branch(0, 76, 0, 15),
% 20.54/20.77 left_branch(0, 16, 0, 16),
% 20.54/20.77 left_branch(0, 46, 0, 17),
% 20.54/20.77 left_branch(0, 10, 0, 18),
% 20.54/20.77 left_branch(0, 2, 0, 19),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 35, 0, 20),
% 20.54/20.77 left_branch(0, 6, 1, 21),
% 20.54/20.77 left_branch(0, 4, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 lemmata(0, 3),
% 20.54/20.77 left_branch(0, 114, 1, 17),
% 20.54/20.77 reduction(0, 4),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 left_branch(0, 99, 0, 14),
% 20.54/20.77 left_branch(0, 17, 1, 15),
% 20.54/20.77 left_branch(0, 74, 0, 16),
% 20.54/20.77 left_branch(0, 16, 0, 17),
% 20.54/20.77 left_branch(0, 46, 0, 18),
% 20.54/20.77 left_branch(0, 10, 0, 19),
% 20.54/20.77 left_branch(0, 2, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 35, 0, 21),
% 20.54/20.77 left_branch(0, 6, 1, 22),
% 20.54/20.77 left_branch(0, 4, 0, 23),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 left_branch(0, 78, 0, 17),
% 20.54/20.77 left_branch(0, 12, 1, 18),
% 20.54/20.77 left_branch(0, 55, 1, 19),
% 20.54/20.77 left_branch(0, 18, 2, 20),
% 20.54/20.77 lemmata(0, 5),
% 20.54/20.77 lemmata(0, 6),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 44, 0, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 30, 1, 21),
% 20.54/20.77 left_branch(0, 8, 1, 22),
% 20.54/20.77 left_branch(0, 56, 1, 23),
% 20.54/20.77 left_branch(0, 18, 2, 24),
% 20.54/20.77 lemmata(0, 5),
% 20.54/20.77 lemmata(0, 6),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 left_branch(0, 78, 1, 18),
% 20.54/20.77 left_branch(0, 16, 0, 19),
% 20.54/20.77 left_branch(0, 46, 0, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(11),
% 20.54/20.77 left_branch(0, 101, 0, 12),
% 20.54/20.77 left_branch(0, 17, 1, 13),
% 20.54/20.77 left_branch(0, 75, 0, 14),
% 20.54/20.77 left_branch(0, 12, 1, 15),
% 20.54/20.77 left_branch(0, 50, 0, 16),
% 20.54/20.77 left_branch(0, 11, 0, 17),
% 20.54/20.77 left_branch(0, 48, 1, 18),
% 20.54/20.77 left_branch(0, 10, 0, 19),
% 20.54/20.77 left_branch(0, 2, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 35, 0, 21),
% 20.54/20.77 left_branch(0, 6, 1, 22),
% 20.54/20.77 left_branch(0, 4, 0, 23),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 left_branch(0, 46, 1, 19),
% 20.54/20.77 left_branch(0, 16, 3, 20),
% 20.54/20.77 left_branch(0, 74, 1, 21),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 46, 0, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 left_branch(0, 54, 0, 17),
% 20.54/20.77 left_branch(0, 7, 1, 18),
% 20.54/20.77 left_branch(0, 33, 1, 19),
% 20.54/20.77 left_branch(0, 13, 2, 20),
% 20.54/20.77 left_branch(0, 81, 1, 21),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 6),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 left_branch(0, 1, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 left_branch(0, 54, 1, 18),
% 20.54/20.77 left_branch(0, 11, 0, 19),
% 20.54/20.77 left_branch(0, 48, 1, 20),
% 20.54/20.77 left_branch(0, 10, 0, 21),
% 20.54/20.77 left_branch(0, 2, 0, 22),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 left_branch(0, 35, 0, 23),
% 20.54/20.77 left_branch(0, 6, 1, 24),
% 20.54/20.77 left_branch(0, 4, 0, 25),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 46, 1, 21),
% 20.54/20.77 left_branch(0, 16, 3, 22),
% 20.54/20.77 left_branch(0, 74, 1, 23),
% 20.54/20.77 reduction(0, 6),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 left_branch(0, 46, 0, 22),
% 20.54/20.77 left_branch(0, 10, 0, 23),
% 20.54/20.77 left_branch(0, 2, 0, 24),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 left_branch(0, 35, 0, 25),
% 20.54/20.77 left_branch(0, 6, 1, 26),
% 20.54/20.77 left_branch(0, 4, 0, 27),
% 20.54/20.77 right_branch(27),
% 20.54/20.77 right_branch(26),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 right_branch(14),
% 20.54/20.77 left_branch(0, 78, 0, 15),
% 20.54/20.77 left_branch(0, 12, 1, 16),
% 20.54/20.77 left_branch(0, 55, 1, 17),
% 20.54/20.77 left_branch(0, 18, 2, 18),
% 20.54/20.77 left_branch(0, 104, 1, 19),
% 20.54/20.77 left_branch(0, 28, 1, 20),
% 20.54/20.77 lemmata(0, 5),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 lemmata(0, 6),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 left_branch(0, 44, 0, 18),
% 20.54/20.77 left_branch(0, 10, 0, 19),
% 20.54/20.77 left_branch(0, 2, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 35, 0, 21),
% 20.54/20.77 left_branch(0, 6, 1, 22),
% 20.54/20.77 left_branch(0, 4, 0, 23),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 left_branch(0, 51, 1, 19),
% 20.54/20.77 left_branch(0, 13, 1, 20),
% 20.54/20.77 left_branch(0, 56, 0, 21),
% 20.54/20.77 left_branch(0, 8, 0, 22),
% 20.54/20.77 left_branch(0, 30, 0, 23),
% 20.54/20.77 reduction(0, 8),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 left_branch(0, 56, 1, 22),
% 20.54/20.77 left_branch(0, 18, 2, 23),
% 20.54/20.77 left_branch(0, 104, 1, 24),
% 20.54/20.77 left_branch(0, 28, 1, 25),
% 20.54/20.77 lemmata(0, 5),
% 20.54/20.77 right_branch(25),
% 20.54/20.77 right_branch(24),
% 20.54/20.77 lemmata(0, 6),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(15),
% 20.54/20.77 left_branch(0, 78, 1, 16),
% 20.54/20.77 left_branch(0, 16, 0, 17),
% 20.54/20.77 left_branch(0, 46, 0, 18),
% 20.54/20.77 left_branch(0, 10, 0, 19),
% 20.54/20.77 left_branch(0, 2, 0, 20),
% 20.54/20.77 right_branch(20),
% 20.54/20.77 left_branch(0, 35, 0, 21),
% 20.54/20.77 left_branch(0, 6, 1, 22),
% 20.54/20.77 left_branch(0, 4, 0, 23),
% 20.54/20.77 right_branch(23),
% 20.54/20.77 right_branch(22),
% 20.54/20.77 right_branch(21),
% 20.54/20.77 lemmata(0, 1),
% 20.54/20.77 right_branch(19),
% 20.54/20.77 right_branch(18),
% 20.54/20.77 lemmata(0, 0),
% 20.54/20.77 lemmata(0, 4),
% 20.54/20.77 right_branch(17),
% 20.54/20.77 right_branch(16),
% 20.54/20.77 right_branch(13),
% 20.54/20.77 right_branch(12),
% 20.54/20.77 right_branch(10),
% 20.54/20.77 right_branch(9),
% 20.54/20.77 right_branch(6),
% 20.54/20.77 right_branch(5)
% 20.54/20.77 )).
% 20.54/20.77 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------