TSTP Solution File: PUZ030-1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Wed Mar 6 09:17:08 EST 2024
% Result : Unsatisfiable 12.75s 12.96s
% Output : Proof 12.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ030-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n008.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 : Sun Mar 3 21:28:45 EST 2024
% 0.13/0.34 % CPUTime :
% 12.75/12.96 % SZS status Unsatisfiable for theBenchmark
% 12.75/12.96 % SZS output start Proof for theBenchmark
% 12.75/12.96
% 12.75/12.96 % Problem matrix:
% 12.75/12.96 cnf(matrix-0, plain, ( ~both(X) | salt(X) )).
% 12.75/12.96 cnf(matrix-1, plain, ( ~both(X) | mustard(X) )).
% 12.75/12.96 cnf(matrix-2, plain, ( ~salt(X) | ~mustard(X) | both(X) )).
% 12.75/12.96 cnf(matrix-3, plain, ( ~oneof(X) | salt(X) | mustard(X) )).
% 12.75/12.96 cnf(matrix-4, plain, ( ~oneof(X) | ~both(X) )).
% 12.75/12.96 cnf(matrix-5, plain, ( ~oneof(X) | ~neither(X) )).
% 12.75/12.96 cnf(matrix-6, plain, ( both(X) | neither(X) | oneof(X) )).
% 12.75/12.96 cnf(matrix-7, plain, ( ~oneof(X) | ~salt(X) | ~mustard(X) )).
% 12.75/12.96 cnf(matrix-8, plain, ( ~both(X) | ~neither(X) )).
% 12.75/12.96 cnf(matrix-9, plain, ( ~neither(X) | ~salt(X) )).
% 12.75/12.96 cnf(matrix-10, plain, ( ~neither(X) | ~mustard(X) )).
% 12.75/12.96 cnf(matrix-11, plain, ( salt(X) | mustard(X) | neither(X) )).
% 12.75/12.96 cnf(matrix-12, plain, ( ~salt(barry) | oneof(cole) | oneof(lang) )).
% 12.75/12.96 cnf(matrix-13, plain, ( ~oneof(cole) | salt(barry) )).
% 12.75/12.96 cnf(matrix-14, plain, ( ~oneof(lang) | salt(barry) )).
% 12.75/12.96 cnf(matrix-15, plain, ( ~mustard(barry) | neither(dix) | both(mill) )).
% 12.75/12.96 cnf(matrix-16, plain, ( ~neither(dix) | mustard(barry) )).
% 12.75/12.96 cnf(matrix-17, plain, ( ~both(mill) | mustard(barry) )).
% 12.75/12.96 cnf(matrix-18, plain, ( ~salt(cole) | oneof(barry) | neither(mill) )).
% 12.75/12.96 cnf(matrix-19, plain, ( ~oneof(barry) | salt(cole) )).
% 12.75/12.96 cnf(matrix-20, plain, ( ~neither(mill) | salt(cole) )).
% 12.75/12.96 cnf(matrix-21, plain, ( ~mustard(cole) | both(dix) | both(lang) )).
% 12.75/12.96 cnf(matrix-22, plain, ( ~both(dix) | mustard(cole) )).
% 12.75/12.96 cnf(matrix-23, plain, ( ~both(lang) | mustard(cole) )).
% 12.75/12.96 cnf(matrix-24, plain, ( ~salt(dix) | neither(barry) | both(cole) )).
% 12.75/12.96 cnf(matrix-25, plain, ( ~neither(barry) | salt(dix) )).
% 12.75/12.96 cnf(matrix-26, plain, ( ~both(cole) | salt(dix) )).
% 12.75/12.96 cnf(matrix-27, plain, ( ~mustard(dix) | neither(lang) | neither(mill) )).
% 12.75/12.96 cnf(matrix-28, plain, ( ~neither(lang) | mustard(dix) )).
% 12.75/12.96 cnf(matrix-29, plain, ( ~neither(mill) | mustard(dix) )).
% 12.75/12.96 cnf(matrix-30, plain, ( ~salt(lang) | oneof(barry) | oneof(dix) )).
% 12.75/12.96 cnf(matrix-31, plain, ( ~oneof(barry) | salt(lang) )).
% 12.75/12.96 cnf(matrix-32, plain, ( ~oneof(dix) | salt(lang) )).
% 12.75/12.96 cnf(matrix-33, plain, ( ~mustard(lang) | neither(cole) | neither(mill) )).
% 12.75/12.97 cnf(matrix-34, plain, ( ~neither(cole) | mustard(lang) )).
% 12.75/12.97 cnf(matrix-35, plain, ( ~neither(mill) | mustard(lang) )).
% 12.75/12.97 cnf(matrix-36, plain, ( ~salt(mill) | both(barry) | both(lang) )).
% 12.75/12.97 cnf(matrix-37, plain, ( ~both(barry) | salt(mill) )).
% 12.75/12.97 cnf(matrix-38, plain, ( ~both(lang) | mustard(mill) )).
% 12.75/12.97 cnf(matrix-39, plain, ( ~mustard(mill) | oneof(cole) | oneof(dix) )).
% 12.75/12.97 cnf(matrix-40, plain, ( ~oneof(cole) | mustard(mill) )).
% 12.75/12.97 cnf(matrix-41, plain, ( ~oneof(dix) | mustard(mill) )).
% 12.75/12.97 cnf(matrix-42, plain, ( ~neither(cole) | ~neither(dix) | ~both(barry) | ~oneof(lang) | ~salt(mill) | ~mustard(lang) | ~oneof(mill) )).
% 12.75/12.97
% 12.75/12.97 % Proof stack:
% 12.75/12.97 cnf(proof-stack, plain,
% 12.75/12.97 proof_stack(
% 12.75/12.97 start(42),
% 12.75/12.97 left_branch(0, 33, 1, 2),
% 12.75/12.97 left_branch(0, 11, 1, 3),
% 12.75/12.97 left_branch(0, 30, 0, 4),
% 12.75/12.97 left_branch(0, 7, 0, 5),
% 12.75/12.97 left_branch(0, 11, 1, 6),
% 12.75/12.97 left_branch(0, 24, 0, 7),
% 12.75/12.97 left_branch(0, 1, 0, 8),
% 12.75/12.97 left_branch(0, 21, 0, 9),
% 12.75/12.97 left_branch(0, 1, 0, 10),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 4, 1, 11),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 left_branch(0, 9, 0, 9),
% 12.75/12.97 left_branch(0, 13, 1, 10),
% 12.75/12.97 left_branch(0, 6, 2, 11),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 16, 0, 8),
% 12.75/12.97 left_branch(0, 10, 1, 9),
% 12.75/12.97 left_branch(0, 24, 1, 10),
% 12.75/12.97 left_branch(0, 3, 1, 11),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 26, 0, 12),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 left_branch(0, 11, 0, 7),
% 12.75/12.97 left_branch(0, 10, 0, 8),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 left_branch(0, 27, 0, 9),
% 12.75/12.97 left_branch(0, 35, 0, 10),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 9, 0, 11),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 left_branch(0, 7, 0, 6),
% 12.75/12.97 left_branch(0, 16, 1, 7),
% 12.75/12.97 left_branch(0, 6, 1, 8),
% 12.75/12.97 left_branch(0, 1, 0, 9),
% 12.75/12.97 left_branch(0, 27, 0, 10),
% 12.75/12.97 left_branch(0, 35, 0, 11),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 9, 0, 12),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 14, 1, 8),
% 12.75/12.97 left_branch(0, 6, 2, 9),
% 12.75/12.97 left_branch(0, 38, 0, 10),
% 12.75/12.97 left_branch(0, 39, 0, 11),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 left_branch(0, 13, 0, 13),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 9, 0, 11),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(4),
% 12.75/12.97 left_branch(0, 28, 0, 5),
% 12.75/12.97 left_branch(0, 2, 1, 6),
% 12.75/12.97 left_branch(0, 26, 1, 7),
% 12.75/12.97 left_branch(0, 6, 0, 8),
% 12.75/12.97 left_branch(0, 3, 0, 9),
% 12.75/12.97 left_branch(0, 21, 0, 10),
% 12.75/12.97 left_branch(0, 8, 0, 11),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 0, 0, 12),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 18, 0, 11),
% 12.75/12.97 left_branch(0, 35, 0, 12),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 left_branch(0, 31, 0, 13),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 0, 0, 8),
% 12.75/12.97 left_branch(0, 24, 0, 9),
% 12.75/12.97 left_branch(0, 0, 0, 10),
% 12.75/12.97 left_branch(0, 18, 0, 11),
% 12.75/12.97 left_branch(0, 35, 0, 12),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 left_branch(0, 31, 0, 13),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 9, 0, 11),
% 12.75/12.97 left_branch(0, 13, 1, 12),
% 12.75/12.97 left_branch(0, 6, 2, 13),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 right_branch(3),
% 12.75/12.97 left_branch(0, 35, 0, 4),
% 12.75/12.97 left_branch(0, 10, 1, 5),
% 12.75/12.97 left_branch(0, 6, 1, 6),
% 12.75/12.97 left_branch(0, 38, 0, 7),
% 12.75/12.97 left_branch(0, 10, 1, 8),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 14, 0, 8),
% 12.75/12.97 left_branch(0, 9, 1, 9),
% 12.75/12.97 left_branch(0, 6, 1, 10),
% 12.75/12.97 left_branch(0, 37, 0, 11),
% 12.75/12.97 left_branch(0, 9, 1, 12),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 31, 0, 12),
% 12.75/12.97 left_branch(0, 7, 1, 13),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 right_branch(4),
% 12.75/12.97 right_branch(2),
% 12.75/12.97 left_branch(0, 6, 2, 3),
% 12.75/12.97 left_branch(0, 17, 0, 4),
% 12.75/12.97 left_branch(0, 10, 1, 5),
% 12.75/12.97 left_branch(0, 24, 1, 6),
% 12.75/12.97 left_branch(0, 11, 0, 7),
% 12.75/12.97 left_branch(0, 10, 0, 8),
% 12.75/12.97 left_branch(0, 3, 2, 9),
% 12.75/12.97 left_branch(0, 39, 2, 10),
% 12.75/12.97 left_branch(0, 1, 1, 11),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 5, 0, 12),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 left_branch(0, 27, 0, 9),
% 12.75/12.97 left_branch(0, 20, 0, 10),
% 12.75/12.97 left_branch(0, 9, 1, 11),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 10, 0, 11),
% 12.75/12.97 left_branch(0, 34, 1, 12),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 26, 0, 8),
% 12.75/12.97 left_branch(0, 7, 1, 9),
% 12.75/12.97 left_branch(0, 39, 2, 10),
% 12.75/12.97 left_branch(0, 1, 1, 11),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 7, 0, 12),
% 12.75/12.97 left_branch(0, 1, 1, 13),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 0, 1, 14),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 29, 1, 11),
% 12.75/12.97 left_branch(0, 33, 2, 12),
% 12.75/12.97 left_branch(0, 34, 1, 13),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 8, 1, 14),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 right_branch(4),
% 12.75/12.97 left_branch(0, 35, 0, 5),
% 12.75/12.97 left_branch(0, 10, 1, 6),
% 12.75/12.97 left_branch(0, 6, 1, 7),
% 12.75/12.97 left_branch(0, 38, 0, 8),
% 12.75/12.97 left_branch(0, 10, 1, 9),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 left_branch(0, 14, 0, 9),
% 12.75/12.97 left_branch(0, 9, 1, 10),
% 12.75/12.97 left_branch(0, 6, 1, 11),
% 12.75/12.97 left_branch(0, 37, 0, 12),
% 12.75/12.97 left_branch(0, 9, 1, 13),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 left_branch(0, 31, 0, 13),
% 12.75/12.97 left_branch(0, 7, 1, 14),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 right_branch(3),
% 12.75/12.97 left_branch(0, 35, 1, 4),
% 12.75/12.97 left_branch(0, 27, 2, 5),
% 12.75/12.97 left_branch(0, 28, 1, 6),
% 12.75/12.97 left_branch(0, 11, 2, 7),
% 12.75/12.97 left_branch(0, 30, 0, 8),
% 12.75/12.97 left_branch(0, 4, 0, 9),
% 12.75/12.97 left_branch(0, 21, 1, 10),
% 12.75/12.97 left_branch(0, 11, 1, 11),
% 12.75/12.97 left_branch(0, 9, 1, 12),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 left_branch(0, 34, 0, 13),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 23, 0, 12),
% 12.75/12.97 left_branch(0, 10, 1, 13),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 left_branch(0, 19, 0, 10),
% 12.75/12.97 left_branch(0, 9, 1, 11),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 left_branch(0, 28, 0, 7),
% 12.75/12.97 left_branch(0, 10, 1, 8),
% 12.75/12.97 left_branch(0, 15, 1, 9),
% 12.75/12.97 left_branch(0, 3, 2, 10),
% 12.75/12.97 left_branch(0, 18, 1, 11),
% 12.75/12.97 left_branch(0, 11, 0, 12),
% 12.75/12.97 left_branch(0, 34, 0, 13),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 10, 1, 14),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 12, 0, 12),
% 12.75/12.97 left_branch(0, 5, 0, 13),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 5, 0, 14),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 4, 1, 11),
% 12.75/12.97 lemmata(0, 1),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 right_branch(4),
% 12.75/12.97 left_branch(0, 37, 1, 5),
% 12.75/12.97 left_branch(0, 6, 0, 6),
% 12.75/12.97 left_branch(0, 31, 0, 7),
% 12.75/12.97 left_branch(0, 9, 1, 8),
% 12.75/12.97 left_branch(0, 27, 1, 9),
% 12.75/12.97 left_branch(0, 29, 1, 10),
% 12.75/12.97 left_branch(0, 33, 2, 11),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 left_branch(0, 9, 0, 13),
% 12.75/12.97 left_branch(0, 19, 1, 14),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 left_branch(0, 35, 0, 11),
% 12.75/12.97 left_branch(0, 2, 1, 12),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 left_branch(0, 38, 0, 14),
% 12.75/12.97 left_branch(0, 10, 1, 15),
% 12.75/12.97 reduction(0, 5),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 25, 0, 8),
% 12.75/12.97 left_branch(0, 9, 1, 9),
% 12.75/12.97 left_branch(0, 6, 1, 10),
% 12.75/12.97 left_branch(0, 22, 0, 11),
% 12.75/12.97 left_branch(0, 10, 1, 12),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 32, 0, 12),
% 12.75/12.97 left_branch(0, 2, 0, 13),
% 12.75/12.97 left_branch(0, 23, 0, 14),
% 12.75/12.97 left_branch(0, 10, 1, 15),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 right_branch(5),
% 12.75/12.97 left_branch(0, 12, 2, 6),
% 12.75/12.97 left_branch(0, 13, 1, 7),
% 12.75/12.97 left_branch(0, 39, 1, 8),
% 12.75/12.97 left_branch(0, 41, 1, 9),
% 12.75/12.97 left_branch(0, 30, 2, 10),
% 12.75/12.97 left_branch(0, 11, 0, 11),
% 12.75/12.97 left_branch(0, 10, 0, 12),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 left_branch(0, 10, 1, 13),
% 12.75/12.97 left_branch(0, 6, 1, 14),
% 12.75/12.97 left_branch(0, 38, 0, 15),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 31, 0, 12),
% 12.75/12.97 left_branch(0, 9, 1, 13),
% 12.75/12.97 left_branch(0, 6, 1, 14),
% 12.75/12.97 left_branch(0, 38, 0, 15),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 left_branch(0, 41, 0, 10),
% 12.75/12.97 left_branch(0, 10, 1, 11),
% 12.75/12.97 left_branch(0, 6, 1, 12),
% 12.75/12.97 left_branch(0, 4, 1, 13),
% 12.75/12.97 lemmata(0, 1),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 7, 0, 14),
% 12.75/12.97 lemmata(0, 4),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 40, 0, 8),
% 12.75/12.97 left_branch(0, 10, 1, 9),
% 12.75/12.97 left_branch(0, 33, 2, 10),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 left_branch(0, 34, 0, 12),
% 12.75/12.97 left_branch(0, 10, 1, 13),
% 12.75/12.97 left_branch(0, 6, 1, 14),
% 12.75/12.97 left_branch(0, 23, 0, 15),
% 12.75/12.97 left_branch(0, 10, 1, 16),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(8),
% 12.75/12.97 right_branch(6),
% 12.75/12.97 left_branch(0, 36, 1, 7),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 left_branch(0, 38, 0, 9),
% 12.75/12.97 left_branch(0, 39, 0, 10),
% 12.75/12.97 left_branch(0, 32, 0, 11),
% 12.75/12.97 left_branch(0, 9, 1, 12),
% 12.75/12.97 left_branch(0, 27, 1, 13),
% 12.75/12.97 left_branch(0, 29, 1, 14),
% 12.75/12.97 left_branch(0, 6, 1, 15),
% 12.75/12.97 left_branch(0, 4, 1, 16),
% 12.75/12.97 lemmata(0, 1),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 left_branch(0, 7, 0, 17),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 left_branch(0, 35, 0, 15),
% 12.75/12.97 left_branch(0, 7, 2, 16),
% 12.75/12.97 lemmata(0, 4),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 13, 0, 12),
% 12.75/12.97 left_branch(0, 9, 1, 13),
% 12.75/12.97 left_branch(0, 24, 1, 14),
% 12.75/12.97 left_branch(0, 11, 0, 15),
% 12.75/12.97 left_branch(0, 16, 0, 16),
% 12.75/12.97 left_branch(0, 2, 1, 17),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 left_branch(0, 27, 0, 17),
% 12.75/12.97 left_branch(0, 10, 0, 18),
% 12.75/12.97 reduction(0, 2),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 left_branch(0, 10, 0, 19),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 right_branch(19),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 left_branch(0, 8, 0, 16),
% 12.75/12.97 lemmata(0, 0),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 right_branch(7),
% 12.75/12.97 left_branch(0, 15, 1, 8),
% 12.75/12.97 left_branch(0, 17, 1, 9),
% 12.75/12.97 left_branch(0, 6, 0, 10),
% 12.75/12.97 left_branch(0, 7, 0, 11),
% 12.75/12.97 left_branch(0, 41, 1, 12),
% 12.75/12.97 left_branch(0, 30, 2, 13),
% 12.75/12.97 left_branch(0, 31, 1, 14),
% 12.75/12.97 left_branch(0, 6, 2, 15),
% 12.75/12.97 left_branch(0, 1, 0, 16),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 left_branch(0, 8, 1, 17),
% 12.75/12.97 lemmata(0, 5),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 left_branch(0, 31, 0, 15),
% 12.75/12.97 left_branch(0, 7, 1, 16),
% 12.75/12.97 lemmata(0, 4),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 left_branch(0, 35, 0, 12),
% 12.75/12.97 left_branch(0, 10, 1, 13),
% 12.75/12.97 left_branch(0, 6, 1, 14),
% 12.75/12.97 left_branch(0, 38, 0, 15),
% 12.75/12.97 left_branch(0, 10, 1, 16),
% 12.75/12.97 reduction(0, 3),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 left_branch(0, 4, 0, 16),
% 12.75/12.97 left_branch(0, 36, 2, 17),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 left_branch(0, 1, 0, 19),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(19),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(9),
% 12.75/12.97 left_branch(0, 17, 0, 10),
% 12.75/12.97 left_branch(0, 10, 1, 11),
% 12.75/12.97 left_branch(0, 24, 1, 12),
% 12.75/12.97 left_branch(0, 26, 1, 13),
% 12.75/12.97 left_branch(0, 2, 2, 14),
% 12.75/12.97 left_branch(0, 20, 1, 15),
% 12.75/12.97 left_branch(0, 27, 2, 16),
% 12.75/12.97 left_branch(0, 11, 1, 17),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 reduction(0, 0),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 left_branch(0, 10, 0, 18),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 left_branch(0, 11, 1, 16),
% 12.75/12.97 left_branch(0, 18, 0, 17),
% 12.75/12.97 left_branch(0, 9, 0, 18),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 left_branch(0, 4, 0, 19),
% 12.75/12.97 lemmata(0, 5),
% 12.75/12.97 right_branch(19),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 left_branch(0, 9, 0, 18),
% 12.75/12.97 lemmata(0, 7),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(13),
% 12.75/12.97 left_branch(0, 26, 0, 14),
% 12.75/12.97 left_branch(0, 7, 1, 15),
% 12.75/12.97 left_branch(0, 39, 2, 16),
% 12.75/12.97 left_branch(0, 1, 1, 17),
% 12.75/12.97 reduction(0, 1),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 left_branch(0, 40, 0, 18),
% 12.75/12.97 left_branch(0, 7, 2, 19),
% 12.75/12.97 lemmata(0, 1),
% 12.75/12.97 lemmata(0, 3),
% 12.75/12.97 right_branch(19),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 right_branch(16),
% 12.75/12.97 left_branch(0, 29, 1, 17),
% 12.75/12.97 left_branch(0, 33, 2, 18),
% 12.75/12.97 lemmata(0, 2),
% 12.75/12.97 left_branch(0, 8, 1, 20),
% 12.75/12.97 reduction(0, 4),
% 12.75/12.97 right_branch(20),
% 12.75/12.97 right_branch(18),
% 12.75/12.97 right_branch(17),
% 12.75/12.97 right_branch(15),
% 12.75/12.97 right_branch(14),
% 12.75/12.97 right_branch(12),
% 12.75/12.97 right_branch(11),
% 12.75/12.97 right_branch(10),
% 12.75/12.97 right_branch(8)
% 12.75/12.97 )).
% 12.75/12.97 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------