TSTP Solution File: GRP126-2.004 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : GRP126-2.004 : 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 : n032.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 14:13:26 EDT 2024

% Result   : Unsatisfiable 33.71s 33.95s
% Output   : Proof 33.71s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GRP126-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.00/0.10  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.10/0.28  % Computer : n032.cluster.edu
% 0.10/0.28  % Model    : x86_64 x86_64
% 0.10/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.28  % Memory   : 8042.1875MB
% 0.10/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.28  % CPULimit : 300
% 0.10/0.28  % WCLimit  : 300
% 0.10/0.28  % DateTime : Thu Mar 21 06:39:55 EDT 2024
% 0.10/0.28  % CPUTime  : 
% 33.71/33.95  % SZS status Unsatisfiable for theBenchmark
% 33.71/33.95  % SZS output start Proof for theBenchmark
% 33.71/33.95  
% 33.71/33.95  % Problem matrix:
% 33.71/33.95  cnf(matrix-0, plain, ( next(e_1, e_2) )).
% 33.71/33.95  cnf(matrix-1, plain, ( next(e_2, e_3) )).
% 33.71/33.95  cnf(matrix-2, plain, ( next(e_3, e_4) )).
% 33.71/33.95  cnf(matrix-3, plain, ( greater(e_2, e_1) )).
% 33.71/33.95  cnf(matrix-4, plain, ( greater(e_3, e_1) )).
% 33.71/33.95  cnf(matrix-5, plain, ( greater(e_4, e_1) )).
% 33.71/33.95  cnf(matrix-6, plain, ( greater(e_3, e_2) )).
% 33.71/33.95  cnf(matrix-7, plain, ( greater(e_4, e_2) )).
% 33.71/33.95  cnf(matrix-8, plain, ( greater(e_4, e_3) )).
% 33.71/33.95  cnf(matrix-9, plain, ( ~product(X, e_1, Y) | ~next(X, X1) | ~greater(Y, X1) )).
% 33.71/33.95  cnf(matrix-10, plain, ( group_element(e_1) )).
% 33.71/33.95  cnf(matrix-11, plain, ( group_element(e_2) )).
% 33.71/33.95  cnf(matrix-12, plain, ( group_element(e_3) )).
% 33.71/33.95  cnf(matrix-13, plain, ( group_element(e_4) )).
% 33.71/33.95  cnf(matrix-14, plain, ( ~equalish(e_1, e_2) )).
% 33.71/33.95  cnf(matrix-15, plain, ( ~equalish(e_1, e_3) )).
% 33.71/33.95  cnf(matrix-16, plain, ( ~equalish(e_1, e_4) )).
% 33.71/33.95  cnf(matrix-17, plain, ( ~equalish(e_2, e_1) )).
% 33.71/33.95  cnf(matrix-18, plain, ( ~equalish(e_2, e_3) )).
% 33.71/33.95  cnf(matrix-19, plain, ( ~equalish(e_2, e_4) )).
% 33.71/33.95  cnf(matrix-20, plain, ( ~equalish(e_3, e_1) )).
% 33.71/33.95  cnf(matrix-21, plain, ( ~equalish(e_3, e_2) )).
% 33.71/33.95  cnf(matrix-22, plain, ( ~equalish(e_3, e_4) )).
% 33.71/33.95  cnf(matrix-23, plain, ( ~equalish(e_4, e_1) )).
% 33.71/33.95  cnf(matrix-24, plain, ( ~equalish(e_4, e_2) )).
% 33.71/33.95  cnf(matrix-25, plain, ( ~equalish(e_4, e_3) )).
% 33.71/33.95  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) )).
% 33.71/33.95  cnf(matrix-27, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 33.71/33.95  cnf(matrix-28, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 33.71/33.95  cnf(matrix-29, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 33.71/33.95  cnf(matrix-30, plain, ( product(X, X, X) )).
% 33.71/33.95  cnf(matrix-31, plain, ( ~product(X, Y, Z1) | ~product(Y, X, Z2) | product(Z1, Z2, Y) )).
% 33.71/33.95  
% 33.71/33.95  % Proof stack:
% 33.71/33.95  cnf(proof-stack, plain, 
% 33.71/33.95  proof_stack(
% 33.71/33.95  start(31), 
% 33.71/33.95  left_branch(0, 31, 2, 2), 
% 33.71/33.95  left_branch(0, 31, 2, 3), 
% 33.71/33.95  left_branch(0, 31, 2, 4), 
% 33.71/33.95  left_branch(0, 31, 2, 5), 
% 33.71/33.95  left_branch(0, 31, 2, 6), 
% 33.71/33.95  left_branch(0, 31, 2, 7), 
% 33.71/33.95  left_branch(0, 31, 2, 8), 
% 33.71/33.95  left_branch(0, 31, 2, 9), 
% 33.71/33.95  left_branch(0, 31, 2, 10), 
% 33.71/33.95  left_branch(0, 31, 2, 11), 
% 33.71/33.95  left_branch(0, 31, 2, 12), 
% 33.71/33.95  left_branch(0, 31, 2, 13), 
% 33.71/33.95  left_branch(0, 31, 2, 14), 
% 33.71/33.95  left_branch(0, 30, 0, 15), 
% 33.71/33.95  right_branch(15), 
% 33.71/33.95  left_branch(0, 30, 0, 16), 
% 33.71/33.95  right_branch(16), 
% 33.71/33.95  right_branch(14), 
% 33.71/33.95  left_branch(0, 30, 0, 15), 
% 33.71/33.95  right_branch(15), 
% 33.71/33.95  right_branch(13), 
% 33.71/33.95  left_branch(0, 30, 0, 14), 
% 33.71/33.95  right_branch(14), 
% 33.71/33.95  right_branch(12), 
% 33.71/33.95  left_branch(0, 30, 0, 13), 
% 33.71/33.95  right_branch(13), 
% 33.71/33.95  right_branch(11), 
% 33.71/33.95  left_branch(0, 30, 0, 12), 
% 33.71/33.95  right_branch(12), 
% 33.71/33.95  right_branch(10), 
% 33.71/33.95  left_branch(0, 30, 0, 11), 
% 33.71/33.95  right_branch(11), 
% 33.71/33.95  right_branch(9), 
% 33.71/33.95  left_branch(0, 30, 0, 10), 
% 33.71/33.95  right_branch(10), 
% 33.71/33.95  right_branch(8), 
% 33.71/33.95  left_branch(0, 30, 0, 9), 
% 33.71/33.95  right_branch(9), 
% 33.71/33.95  right_branch(7), 
% 33.71/33.95  left_branch(0, 30, 0, 8), 
% 33.71/33.95  right_branch(8), 
% 33.71/33.95  right_branch(6), 
% 33.71/33.95  left_branch(0, 30, 0, 7), 
% 33.71/33.95  right_branch(7), 
% 33.71/33.95  right_branch(5), 
% 33.71/33.95  left_branch(0, 30, 0, 6), 
% 33.71/33.95  right_branch(6), 
% 33.71/33.95  right_branch(4), 
% 33.71/33.95  left_branch(0, 30, 0, 5), 
% 33.71/33.95  right_branch(5), 
% 33.71/33.95  right_branch(3), 
% 33.71/33.95  left_branch(0, 30, 0, 4), 
% 33.71/33.95  right_branch(4), 
% 33.71/33.95  right_branch(2), 
% 33.71/33.95  left_branch(0, 31, 0, 3), 
% 33.71/33.95  left_branch(0, 31, 1, 4), 
% 33.71/33.95  reduction(0, 1), 
% 33.71/33.95  left_branch(0, 29, 0, 6), 
% 33.71/33.95  left_branch(0, 25, 0, 7), 
% 33.71/33.95  right_branch(7), 
% 33.71/33.95  reduction(0, 0), 
% 33.71/33.95  right_branch(6), 
% 33.71/33.95  right_branch(4), 
% 33.71/33.95  left_branch(0, 31, 2, 5), 
% 33.71/33.95  left_branch(0, 26, 5, 6), 
% 33.71/33.95  left_branch(0, 13, 0, 7), 
% 33.71/33.95  right_branch(7), 
% 33.71/33.95  reduction(0, 1), 
% 33.71/33.95  left_branch(0, 31, 1, 9), 
% 33.71/33.95  reduction(0, 0), 
% 33.71/33.95  left_branch(0, 29, 0, 11), 
% 33.71/33.95  left_branch(0, 22, 0, 12), 
% 33.71/33.95  right_branch(12), 
% 33.71/33.95  left_branch(0, 26, 5, 13), 
% 33.71/33.95  lemmata(0, 2), 
% 33.71/33.95  left_branch(0, 31, 1, 15), 
% 33.71/33.95  left_branch(0, 26, 2, 16), 
% 33.71/33.95  left_branch(0, 11, 0, 17), 
% 33.71/33.95  right_branch(17), 
% 33.71/33.95  left_branch(0, 31, 1, 18), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 31, 1, 20), 
% 33.71/33.95  reduction(0, 9), 
% 33.71/33.95  left_branch(0, 31, 0, 22), 
% 33.71/33.95  left_branch(0, 29, 0, 23), 
% 33.71/33.95  left_branch(0, 22, 0, 24), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  reduction(0, 10), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  right_branch(18), 
% 33.71/33.95  left_branch(0, 31, 1, 19), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 31, 1, 21), 
% 33.71/33.95  left_branch(0, 31, 2, 22), 
% 33.71/33.95  reduction(0, 9), 
% 33.71/33.95  left_branch(0, 31, 2, 24), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  lemmata(0, 4), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  left_branch(0, 31, 1, 23), 
% 33.71/33.95  reduction(0, 10), 
% 33.71/33.95  left_branch(0, 31, 0, 25), 
% 33.71/33.95  left_branch(0, 29, 0, 26), 
% 33.71/33.95  left_branch(0, 19, 0, 27), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  right_branch(26), 
% 33.71/33.95  reduction(0, 11), 
% 33.71/33.95  right_branch(25), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  right_branch(21), 
% 33.71/33.95  right_branch(19), 
% 33.71/33.95  left_branch(0, 31, 1, 20), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 31, 1, 22), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  left_branch(0, 31, 1, 24), 
% 33.71/33.95  reduction(0, 10), 
% 33.71/33.95  left_branch(0, 31, 0, 26), 
% 33.71/33.95  left_branch(0, 29, 0, 27), 
% 33.71/33.95  left_branch(0, 19, 0, 28), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  reduction(0, 11), 
% 33.71/33.95  right_branch(26), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  lemmata(0, 2), 
% 33.71/33.95  right_branch(16), 
% 33.71/33.95  left_branch(0, 31, 0, 17), 
% 33.71/33.95  reduction(0, 1), 
% 33.71/33.95  left_branch(0, 31, 2, 19), 
% 33.71/33.95  left_branch(0, 30, 0, 20), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  left_branch(0, 26, 2, 21), 
% 33.71/33.95  left_branch(0, 12, 0, 22), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  left_branch(0, 28, 0, 23), 
% 33.71/33.95  left_branch(0, 22, 0, 24), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  lemmata(0, 4), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  left_branch(0, 31, 1, 24), 
% 33.71/33.95  reduction(0, 10), 
% 33.71/33.95  left_branch(0, 31, 0, 26), 
% 33.71/33.95  left_branch(0, 29, 0, 27), 
% 33.71/33.95  left_branch(0, 22, 0, 28), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  reduction(0, 11), 
% 33.71/33.95  right_branch(26), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  lemmata(0, 1), 
% 33.71/33.95  lemmata(0, 9), 
% 33.71/33.95  right_branch(21), 
% 33.71/33.95  right_branch(19), 
% 33.71/33.95  right_branch(17), 
% 33.71/33.95  right_branch(15), 
% 33.71/33.95  left_branch(0, 31, 1, 16), 
% 33.71/33.95  left_branch(0, 31, 2, 17), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 26, 5, 19), 
% 33.71/33.95  left_branch(0, 11, 0, 20), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  left_branch(0, 31, 1, 21), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 29, 0, 23), 
% 33.71/33.95  left_branch(0, 19, 0, 24), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  right_branch(21), 
% 33.71/33.95  reduction(0, 7), 
% 33.71/33.95  left_branch(0, 28, 0, 23), 
% 33.71/33.95  left_branch(0, 25, 0, 24), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  left_branch(0, 26, 2, 25), 
% 33.71/33.95  lemmata(0, 8), 
% 33.71/33.95  left_branch(0, 31, 0, 27), 
% 33.71/33.95  left_branch(0, 28, 0, 28), 
% 33.71/33.95  left_branch(0, 25, 0, 29), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  lemmata(0, 0), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  reduction(0, 4), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  left_branch(0, 29, 0, 28), 
% 33.71/33.95  left_branch(0, 19, 0, 29), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  left_branch(0, 31, 1, 29), 
% 33.71/33.95  reduction(0, 4), 
% 33.71/33.95  left_branch(0, 31, 0, 31), 
% 33.71/33.95  reduction(0, 8), 
% 33.71/33.95  left_branch(0, 30, 0, 33), 
% 33.71/33.95  right_branch(33), 
% 33.71/33.95  right_branch(31), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  left_branch(0, 12, 0, 30), 
% 33.71/33.95  right_branch(30), 
% 33.71/33.95  right_branch(25), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  lemmata(0, 2), 
% 33.71/33.95  right_branch(19), 
% 33.71/33.95  right_branch(17), 
% 33.71/33.95  left_branch(0, 31, 1, 18), 
% 33.71/33.95  reduction(0, 7), 
% 33.71/33.95  left_branch(0, 31, 0, 20), 
% 33.71/33.95  left_branch(0, 31, 0, 21), 
% 33.71/33.95  reduction(0, 5), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  right_branch(21), 
% 33.71/33.95  left_branch(0, 30, 0, 22), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  right_branch(18), 
% 33.71/33.95  right_branch(16), 
% 33.71/33.95  left_branch(0, 31, 1, 17), 
% 33.71/33.95  left_branch(0, 26, 5, 18), 
% 33.71/33.95  left_branch(0, 11, 0, 19), 
% 33.71/33.95  right_branch(19), 
% 33.71/33.95  left_branch(0, 31, 1, 20), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 29, 0, 22), 
% 33.71/33.95  left_branch(0, 16, 0, 23), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  left_branch(0, 31, 1, 21), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 31, 0, 23), 
% 33.71/33.95  left_branch(0, 29, 0, 24), 
% 33.71/33.95  left_branch(0, 19, 0, 25), 
% 33.71/33.95  right_branch(25), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  left_branch(0, 26, 4, 25), 
% 33.71/33.95  lemmata(0, 8), 
% 33.71/33.95  left_branch(0, 9, 0, 27), 
% 33.71/33.95  left_branch(0, 8, 0, 28), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  left_branch(0, 1, 0, 29), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  left_branch(0, 31, 1, 28), 
% 33.71/33.95  reduction(0, 9), 
% 33.71/33.95  left_branch(0, 28, 0, 30), 
% 33.71/33.95  left_branch(0, 19, 0, 31), 
% 33.71/33.95  right_branch(31), 
% 33.71/33.95  reduction(0, 8), 
% 33.71/33.95  right_branch(30), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  left_branch(0, 31, 1, 29), 
% 33.71/33.95  reduction(0, 9), 
% 33.71/33.95  lemmata(0, 13), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  left_branch(0, 10, 0, 30), 
% 33.71/33.95  right_branch(30), 
% 33.71/33.95  right_branch(25), 
% 33.71/33.95  right_branch(23), 
% 33.71/33.95  right_branch(21), 
% 33.71/33.95  left_branch(0, 31, 1, 22), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  left_branch(0, 31, 1, 24), 
% 33.71/33.95  reduction(0, 9), 
% 33.71/33.95  left_branch(0, 29, 0, 26), 
% 33.71/33.95  left_branch(0, 19, 0, 27), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  lemmata(0, 11), 
% 33.71/33.95  right_branch(26), 
% 33.71/33.95  right_branch(24), 
% 33.71/33.95  right_branch(22), 
% 33.71/33.95  lemmata(0, 2), 
% 33.71/33.95  right_branch(18), 
% 33.71/33.95  left_branch(0, 31, 1, 19), 
% 33.71/33.95  left_branch(0, 31, 2, 20), 
% 33.71/33.95  reduction(0, 6), 
% 33.71/33.95  lemmata(0, 8), 
% 33.71/33.95  right_branch(20), 
% 33.71/33.95  left_branch(0, 31, 0, 21), 
% 33.71/33.95  reduction(0, 5), 
% 33.71/33.95  left_branch(0, 31, 2, 23), 
% 33.71/33.95  reduction(0, 4), 
% 33.71/33.95  left_branch(0, 26, 3, 25), 
% 33.71/33.95  left_branch(0, 11, 0, 26), 
% 33.71/33.95  right_branch(26), 
% 33.71/33.95  left_branch(0, 31, 0, 27), 
% 33.71/33.95  left_branch(0, 28, 0, 28), 
% 33.71/33.95  left_branch(0, 25, 0, 29), 
% 33.71/33.95  right_branch(29), 
% 33.71/33.95  lemmata(0, 0), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  lemmata(0, 11), 
% 33.71/33.95  right_branch(27), 
% 33.71/33.95  left_branch(0, 31, 1, 28), 
% 33.71/33.95  reduction(0, 4), 
% 33.71/33.95  left_branch(0, 28, 0, 30), 
% 33.71/33.95  left_branch(0, 25, 0, 31), 
% 33.71/33.95  right_branch(31), 
% 33.71/33.95  reduction(0, 3), 
% 33.71/33.95  right_branch(30), 
% 33.71/33.95  right_branch(28), 
% 33.71/33.95  left_branch(0, 31, 1, 29), 
% 33.71/33.95  reduction(0, 4), 
% 33.71/33.95  left_branch(0, 27, 0, 31), 
% 33.71/33.95  left_branch(0, 19, 0, 32), 
% 33.71/33.95  right_branch(32), 
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% 33.71/33.96  left_branch(0, 16, 0, 23), 
% 33.71/33.96  right_branch(23), 
% 33.71/33.96  left_branch(0, 31, 2, 24), 
% 33.71/33.96  left_branch(0, 31, 2, 25), 
% 33.71/33.96  reduction(0, 8), 
% 33.71/33.96  left_branch(0, 26, 2, 27), 
% 33.71/33.96  left_branch(0, 13, 0, 28), 
% 33.71/33.96  right_branch(28), 
% 33.71/33.96  left_branch(0, 27, 0, 29), 
% 33.71/33.96  left_branch(0, 22, 0, 30), 
% 33.71/33.96  right_branch(30), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  right_branch(29), 
% 33.71/33.96  left_branch(0, 27, 0, 30), 
% 33.71/33.96  left_branch(0, 19, 0, 31), 
% 33.71/33.96  right_branch(31), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  right_branch(30), 
% 33.71/33.96  left_branch(0, 31, 1, 31), 
% 33.71/33.96  reduction(0, 8), 
% 33.71/33.96  lemmata(0, 9), 
% 33.71/33.96  right_branch(31), 
% 33.71/33.96  lemmata(0, 8), 
% 33.71/33.96  right_branch(27), 
% 33.71/33.96  right_branch(25), 
% 33.71/33.96  lemmata(0, 13), 
% 33.71/33.96  right_branch(24), 
% 33.71/33.96  right_branch(22), 
% 33.71/33.96  left_branch(0, 31, 2, 23), 
% 33.71/33.96  reduction(0, 6), 
% 33.71/33.96  lemmata(0, 11), 
% 33.71/33.96  right_branch(23), 
% 33.71/33.96  right_branch(21), 
% 33.71/33.96  right_branch(19), 
% 33.71/33.96  left_branch(0, 13, 0, 20), 
% 33.71/33.96  right_branch(20), 
% 33.71/33.96  right_branch(15), 
% 33.71/33.96  right_branch(13), 
% 33.71/33.96  right_branch(11), 
% 33.71/33.96  left_branch(0, 31, 2, 12), 
% 33.71/33.96  left_branch(0, 26, 2, 13), 
% 33.71/33.96  left_branch(0, 13, 0, 14), 
% 33.71/33.96  right_branch(14), 
% 33.71/33.96  left_branch(0, 31, 1, 15), 
% 33.71/33.96  reduction(0, 5), 
% 33.71/33.96  reduction(0, 0), 
% 33.71/33.96  right_branch(15), 
% 33.71/33.96  left_branch(0, 31, 1, 16), 
% 33.71/33.96  reduction(0, 5), 
% 33.71/33.96  left_branch(0, 31, 0, 18), 
% 33.71/33.96  left_branch(0, 31, 0, 19), 
% 33.71/33.96  left_branch(0, 31, 1, 20), 
% 33.71/33.96  reduction(0, 8), 
% 33.71/33.96  left_branch(0, 31, 0, 22), 
% 33.71/33.96  left_branch(0, 29, 0, 23), 
% 33.71/33.96  left_branch(0, 19, 0, 24), 
% 33.71/33.96  right_branch(24), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  right_branch(23), 
% 33.71/33.96  lemmata(0, 10), 
% 33.71/33.96  right_branch(22), 
% 33.71/33.96  right_branch(20), 
% 33.71/33.96  left_branch(0, 31, 2, 21), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  left_branch(0, 31, 2, 23), 
% 33.71/33.96  reduction(0, 5), 
% 33.71/33.96  left_branch(0, 30, 0, 25), 
% 33.71/33.96  right_branch(25), 
% 33.71/33.96  right_branch(23), 
% 33.71/33.96  right_branch(21), 
% 33.71/33.96  right_branch(19), 
% 33.71/33.96  left_branch(0, 30, 0, 20), 
% 33.71/33.96  right_branch(20), 
% 33.71/33.96  right_branch(18), 
% 33.71/33.96  right_branch(16), 
% 33.71/33.96  left_branch(0, 29, 0, 17), 
% 33.71/33.96  left_branch(0, 25, 0, 18), 
% 33.71/33.96  right_branch(18), 
% 33.71/33.96  left_branch(0, 26, 5, 19), 
% 33.71/33.96  lemmata(0, 2), 
% 33.71/33.96  lemmata(0, 1), 
% 33.71/33.96  left_branch(0, 31, 1, 22), 
% 33.71/33.96  left_branch(0, 26, 5, 23), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  left_branch(0, 29, 0, 25), 
% 33.71/33.96  left_branch(0, 25, 0, 26), 
% 33.71/33.96  right_branch(26), 
% 33.71/33.96  lemmata(0, 0), 
% 33.71/33.96  right_branch(25), 
% 33.71/33.96  left_branch(0, 31, 1, 26), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  left_branch(0, 31, 1, 28), 
% 33.71/33.96  reduction(0, 10), 
% 33.71/33.96  lemmata(0, 9), 
% 33.71/33.96  right_branch(28), 
% 33.71/33.96  right_branch(26), 
% 33.71/33.96  left_branch(0, 31, 1, 27), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  left_branch(0, 9, 0, 29), 
% 33.71/33.96  left_branch(0, 8, 0, 30), 
% 33.71/33.96  right_branch(30), 
% 33.71/33.96  left_branch(0, 1, 0, 31), 
% 33.71/33.96  right_branch(31), 
% 33.71/33.96  right_branch(29), 
% 33.71/33.96  right_branch(27), 
% 33.71/33.96  lemmata(0, 2), 
% 33.71/33.96  right_branch(23), 
% 33.71/33.96  left_branch(0, 31, 1, 24), 
% 33.71/33.96  left_branch(0, 31, 2, 25), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  lemmata(0, 11), 
% 33.71/33.96  right_branch(25), 
% 33.71/33.96  left_branch(0, 31, 1, 26), 
% 33.71/33.96  reduction(0, 7), 
% 33.71/33.96  left_branch(0, 29, 0, 28), 
% 33.71/33.96  left_branch(0, 19, 0, 29), 
% 33.71/33.96  right_branch(29), 
% 33.71/33.96  reduction(0, 5), 
% 33.71/33.96  right_branch(28), 
% 33.71/33.96  right_branch(26), 
% 33.71/33.96  right_branch(24), 
% 33.71/33.96  right_branch(22), 
% 33.71/33.96  lemmata(0, 6), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  right_branch(19), 
% 33.71/33.96  right_branch(17), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  right_branch(13), 
% 33.71/33.96  lemmata(0, 7), 
% 33.71/33.96  right_branch(12), 
% 33.71/33.96  right_branch(10), 
% 33.71/33.96  right_branch(8), 
% 33.71/33.96  lemmata(0, 2), 
% 33.71/33.96  right_branch(4)
% 33.71/33.96  )).
% 33.71/33.96  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------