TSTP Solution File: GRP129-2.004 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP129-2.004 : 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 : n013.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 14:13:30 EDT 2024
% Result : Unsatisfiable 15.30s 15.49s
% Output : Proof 15.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP129-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n013.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 : Thu Mar 21 06:52:17 EDT 2024
% 0.13/0.34 % CPUTime :
% 15.30/15.49 % SZS status Unsatisfiable for theBenchmark
% 15.30/15.49 % SZS output start Proof for theBenchmark
% 15.30/15.49
% 15.30/15.49 % Problem matrix:
% 15.30/15.49 cnf(matrix-0, plain, ( next(e_1, e_2) )).
% 15.30/15.49 cnf(matrix-1, plain, ( next(e_2, e_3) )).
% 15.30/15.49 cnf(matrix-2, plain, ( next(e_3, e_4) )).
% 15.30/15.49 cnf(matrix-3, plain, ( greater(e_2, e_1) )).
% 15.30/15.49 cnf(matrix-4, plain, ( greater(e_3, e_1) )).
% 15.30/15.49 cnf(matrix-5, plain, ( greater(e_4, e_1) )).
% 15.30/15.49 cnf(matrix-6, plain, ( greater(e_3, e_2) )).
% 15.30/15.49 cnf(matrix-7, plain, ( greater(e_4, e_2) )).
% 15.30/15.49 cnf(matrix-8, plain, ( greater(e_4, e_3) )).
% 15.30/15.49 cnf(matrix-9, plain, ( ~product(X, e_1, Y) | ~next(X, X1) | ~greater(Y, X1) )).
% 15.30/15.49 cnf(matrix-10, plain, ( group_element(e_1) )).
% 15.30/15.49 cnf(matrix-11, plain, ( group_element(e_2) )).
% 15.30/15.49 cnf(matrix-12, plain, ( group_element(e_3) )).
% 15.30/15.49 cnf(matrix-13, plain, ( group_element(e_4) )).
% 15.30/15.49 cnf(matrix-14, plain, ( ~equalish(e_1, e_2) )).
% 15.30/15.49 cnf(matrix-15, plain, ( ~equalish(e_1, e_3) )).
% 15.30/15.49 cnf(matrix-16, plain, ( ~equalish(e_1, e_4) )).
% 15.30/15.49 cnf(matrix-17, plain, ( ~equalish(e_2, e_1) )).
% 15.30/15.49 cnf(matrix-18, plain, ( ~equalish(e_2, e_3) )).
% 15.30/15.49 cnf(matrix-19, plain, ( ~equalish(e_2, e_4) )).
% 15.30/15.49 cnf(matrix-20, plain, ( ~equalish(e_3, e_1) )).
% 15.30/15.49 cnf(matrix-21, plain, ( ~equalish(e_3, e_2) )).
% 15.30/15.49 cnf(matrix-22, plain, ( ~equalish(e_3, e_4) )).
% 15.30/15.49 cnf(matrix-23, plain, ( ~equalish(e_4, e_1) )).
% 15.30/15.49 cnf(matrix-24, plain, ( ~equalish(e_4, e_2) )).
% 15.30/15.49 cnf(matrix-25, plain, ( ~equalish(e_4, e_3) )).
% 15.30/15.49 cnf(matrix-26, plain, ( ~group_element(X) | ~group_element(Y) | product(X, Y, e_1) | product(X, Y, e_2) | product(X, Y, e_3) | product(X, Y, e_4) )).
% 15.30/15.49 cnf(matrix-27, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 15.30/15.49 cnf(matrix-28, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 15.30/15.49 cnf(matrix-29, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 15.30/15.49 cnf(matrix-30, plain, ( ~product(Y, X, Z1) | ~product(X, Z1, Z2) | product(Z1, Y, Z2) )).
% 15.30/15.49
% 15.30/15.49 % Proof stack:
% 15.30/15.49 cnf(proof-stack, plain,
% 15.30/15.49 proof_stack(
% 15.30/15.49 start(30),
% 15.30/15.49 left_branch(0, 26, 2, 2),
% 15.30/15.49 left_branch(0, 13, 0, 3),
% 15.30/15.49 right_branch(3),
% 15.30/15.49 left_branch(0, 30, 1, 4),
% 15.30/15.49 left_branch(0, 30, 2, 5),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 26, 4, 7),
% 15.30/15.49 left_branch(0, 12, 0, 8),
% 15.30/15.49 right_branch(8),
% 15.30/15.49 left_branch(0, 30, 1, 9),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 30, 1, 11),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 left_branch(0, 29, 0, 13),
% 15.30/15.49 left_branch(0, 25, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 lemmata(0, 4),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 right_branch(9),
% 15.30/15.49 left_branch(0, 30, 1, 10),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 28, 0, 12),
% 15.30/15.49 left_branch(0, 25, 0, 13),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 left_branch(0, 30, 1, 11),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 28, 0, 13),
% 15.30/15.49 left_branch(0, 25, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 lemmata(0, 2),
% 15.30/15.49 right_branch(7),
% 15.30/15.49 right_branch(5),
% 15.30/15.49 left_branch(0, 29, 0, 6),
% 15.30/15.49 left_branch(0, 22, 0, 7),
% 15.30/15.49 right_branch(7),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 right_branch(6),
% 15.30/15.49 right_branch(4),
% 15.30/15.49 left_branch(0, 30, 1, 5),
% 15.30/15.49 left_branch(0, 30, 2, 6),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 26, 4, 8),
% 15.30/15.49 left_branch(0, 12, 0, 9),
% 15.30/15.49 right_branch(9),
% 15.30/15.49 left_branch(0, 30, 1, 10),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 30, 0, 12),
% 15.30/15.49 left_branch(0, 29, 0, 13),
% 15.30/15.49 left_branch(0, 25, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 left_branch(0, 26, 5, 14),
% 15.30/15.49 lemmata(0, 0),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 28, 0, 18),
% 15.30/15.49 left_branch(0, 19, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 left_branch(0, 30, 1, 17),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 28, 0, 19),
% 15.30/15.49 left_branch(0, 19, 0, 20),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 left_branch(0, 30, 1, 18),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 28, 0, 20),
% 15.30/15.49 left_branch(0, 19, 0, 21),
% 15.30/15.49 right_branch(21),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 lemmata(0, 0),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 left_branch(0, 30, 1, 11),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 30, 1, 13),
% 15.30/15.49 left_branch(0, 26, 5, 14),
% 15.30/15.49 left_branch(0, 13, 0, 15),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 29, 0, 18),
% 15.30/15.49 left_branch(0, 19, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 left_branch(0, 30, 1, 17),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 29, 0, 19),
% 15.30/15.49 left_branch(0, 19, 0, 20),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 left_branch(0, 30, 1, 18),
% 15.30/15.49 reduction(0, 5),
% 15.30/15.49 left_branch(0, 29, 0, 20),
% 15.30/15.49 left_branch(0, 19, 0, 21),
% 15.30/15.49 right_branch(21),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 11, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 left_branch(0, 30, 1, 15),
% 15.30/15.49 left_branch(0, 30, 2, 16),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 lemmata(0, 6),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 left_branch(0, 29, 0, 17),
% 15.30/15.49 left_branch(0, 25, 0, 18),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 left_branch(0, 30, 0, 12),
% 15.30/15.49 left_branch(0, 29, 0, 13),
% 15.30/15.49 left_branch(0, 16, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 left_branch(0, 26, 3, 14),
% 15.30/15.49 left_branch(0, 11, 0, 15),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 left_branch(0, 30, 1, 18),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 left_branch(0, 9, 0, 17),
% 15.30/15.49 left_branch(0, 8, 0, 18),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 1, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 left_branch(0, 28, 0, 18),
% 15.30/15.49 left_branch(0, 16, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 left_branch(0, 30, 2, 20),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 10, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 left_branch(0, 11, 0, 13),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(8),
% 15.30/15.49 right_branch(6),
% 15.30/15.49 left_branch(0, 30, 1, 7),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 30, 1, 9),
% 15.30/15.49 left_branch(0, 30, 2, 10),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 26, 5, 12),
% 15.30/15.49 lemmata(0, 0),
% 15.30/15.49 left_branch(0, 30, 1, 14),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 left_branch(0, 28, 0, 18),
% 15.30/15.49 left_branch(0, 22, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 lemmata(0, 2),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 left_branch(0, 30, 1, 15),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 29, 0, 17),
% 15.30/15.49 left_branch(0, 19, 0, 18),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 29, 0, 18),
% 15.30/15.49 left_branch(0, 19, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 left_branch(0, 11, 0, 17),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 left_branch(0, 30, 1, 11),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 30, 0, 13),
% 15.30/15.49 left_branch(0, 30, 0, 14),
% 15.30/15.49 left_branch(0, 29, 0, 15),
% 15.30/15.49 left_branch(0, 25, 0, 16),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 lemmata(0, 5),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 lemmata(0, 4),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 right_branch(9),
% 15.30/15.49 right_branch(7),
% 15.30/15.49 right_branch(5),
% 15.30/15.49 left_branch(0, 30, 1, 6),
% 15.30/15.49 left_branch(0, 30, 2, 7),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 26, 4, 9),
% 15.30/15.49 left_branch(0, 12, 0, 10),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 left_branch(0, 30, 1, 11),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 29, 0, 13),
% 15.30/15.49 left_branch(0, 25, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 left_branch(0, 30, 1, 12),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 29, 0, 14),
% 15.30/15.49 left_branch(0, 25, 0, 15),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 left_branch(0, 30, 1, 13),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 29, 0, 15),
% 15.30/15.49 left_branch(0, 25, 0, 16),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 lemmata(0, 0),
% 15.30/15.49 right_branch(9),
% 15.30/15.49 right_branch(7),
% 15.30/15.49 left_branch(0, 30, 1, 8),
% 15.30/15.49 reduction(0, 1),
% 15.30/15.49 left_branch(0, 30, 0, 10),
% 15.30/15.49 left_branch(0, 30, 0, 11),
% 15.30/15.49 left_branch(0, 29, 0, 12),
% 15.30/15.49 left_branch(0, 25, 0, 13),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 right_branch(8),
% 15.30/15.49 right_branch(6),
% 15.30/15.49 left_branch(0, 12, 0, 7),
% 15.30/15.49 right_branch(7),
% 15.30/15.49 right_branch(2),
% 15.30/15.49 left_branch(0, 30, 1, 3),
% 15.30/15.49 left_branch(0, 26, 5, 4),
% 15.30/15.49 left_branch(0, 13, 0, 5),
% 15.30/15.49 right_branch(5),
% 15.30/15.49 left_branch(0, 30, 1, 6),
% 15.30/15.49 reduction(0, 0),
% 15.30/15.49 left_branch(0, 30, 1, 8),
% 15.30/15.49 left_branch(0, 30, 2, 9),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 26, 2, 11),
% 15.30/15.49 left_branch(0, 10, 0, 12),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 left_branch(0, 30, 1, 13),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 29, 0, 15),
% 15.30/15.49 left_branch(0, 22, 0, 16),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 left_branch(0, 30, 1, 14),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 28, 0, 16),
% 15.30/15.49 left_branch(0, 16, 0, 17),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 left_branch(0, 30, 2, 18),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 left_branch(0, 30, 1, 15),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 30, 1, 17),
% 15.30/15.49 left_branch(0, 30, 2, 18),
% 15.30/15.49 reduction(0, 7),
% 15.30/15.49 lemmata(0, 2),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 28, 0, 19),
% 15.30/15.49 left_branch(0, 25, 0, 20),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 left_branch(0, 12, 0, 16),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 right_branch(11),
% 15.30/15.49 right_branch(9),
% 15.30/15.49 left_branch(0, 30, 1, 10),
% 15.30/15.49 reduction(0, 3),
% 15.30/15.49 left_branch(0, 30, 0, 12),
% 15.30/15.49 left_branch(0, 28, 0, 13),
% 15.30/15.49 left_branch(0, 22, 0, 14),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 left_branch(0, 30, 2, 15),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(12),
% 15.30/15.49 right_branch(10),
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% 15.30/15.49 left_branch(0, 28, 0, 17),
% 15.30/15.49 left_branch(0, 19, 0, 18),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 30, 2, 19),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 reduction(0, 6),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 right_branch(17),
% 15.30/15.49 left_branch(0, 29, 0, 18),
% 15.30/15.49 left_branch(0, 19, 0, 19),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(18),
% 15.30/15.49 left_branch(0, 30, 0, 19),
% 15.30/15.49 left_branch(0, 29, 0, 20),
% 15.30/15.49 left_branch(0, 16, 0, 21),
% 15.30/15.49 right_branch(21),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(20),
% 15.30/15.49 left_branch(0, 30, 2, 21),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 right_branch(21),
% 15.30/15.49 right_branch(19),
% 15.30/15.49 lemmata(0, 8),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(13),
% 15.30/15.49 left_branch(0, 30, 1, 14),
% 15.30/15.49 reduction(0, 2),
% 15.30/15.49 left_branch(0, 30, 1, 16),
% 15.30/15.49 reduction(0, 4),
% 15.30/15.49 lemmata(0, 1),
% 15.30/15.49 right_branch(16),
% 15.30/15.49 right_branch(14),
% 15.30/15.49 left_branch(0, 11, 0, 15),
% 15.30/15.49 right_branch(15),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 right_branch(8),
% 15.30/15.49 lemmata(0, 1),
% 15.30/15.49 left_branch(0, 13, 0, 10),
% 15.30/15.49 right_branch(10),
% 15.30/15.49 right_branch(5),
% 15.30/15.49 lemmata(0, 0),
% 15.30/15.49 right_branch(4)
% 15.30/15.49 )).
% 15.30/15.49 % SZS output end Proof for theBenchmark
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