TSTP Solution File: SYN094-1.005 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN094-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Mar 25 14:41:51 EDT 2024

% Result   : Unsatisfiable 1.12s 1.30s
% Output   : Proof 1.12s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN094-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Mar 20 23:10:39 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 1.12/1.30  % SZS status Unsatisfiable for theBenchmark
% 1.12/1.30  % SZS output start Proof for theBenchmark
% 1.12/1.30  
% 1.12/1.30  % Problem matrix:
% 1.12/1.30  cnf(matrix-0, plain, ( u_1 | ~p_0 | ~q_0 )).
% 1.12/1.30  cnf(matrix-1, plain, ( ~u_1 )).
% 1.12/1.30  cnf(matrix-2, plain, ( u_2 | p_0 | ~p_1 | ~p_2 )).
% 1.12/1.30  cnf(matrix-3, plain, ( p_0 | ~u_2 )).
% 1.12/1.30  cnf(matrix-4, plain, ( u_3 | p_0 | ~q_1 | ~q_2 )).
% 1.12/1.30  cnf(matrix-5, plain, ( p_0 | ~u_3 )).
% 1.12/1.30  cnf(matrix-6, plain, ( u_4 | p_1 | ~p_2 | ~p_3 )).
% 1.12/1.30  cnf(matrix-7, plain, ( p_1 | ~u_4 )).
% 1.12/1.30  cnf(matrix-8, plain, ( u_5 | p_1 | ~q_2 | ~q_3 )).
% 1.12/1.30  cnf(matrix-9, plain, ( p_1 | ~u_5 )).
% 1.12/1.30  cnf(matrix-10, plain, ( u_6 | p_2 | ~p_3 | ~p_4 )).
% 1.12/1.30  cnf(matrix-11, plain, ( p_2 | ~u_6 )).
% 1.12/1.30  cnf(matrix-12, plain, ( u_7 | p_2 | ~q_3 | ~q_4 )).
% 1.12/1.30  cnf(matrix-13, plain, ( p_2 | ~u_7 )).
% 1.12/1.30  cnf(matrix-14, plain, ( u_8 | p_3 | ~p_4 | ~p_5 )).
% 1.12/1.30  cnf(matrix-15, plain, ( p_3 | ~u_8 )).
% 1.12/1.30  cnf(matrix-16, plain, ( u_9 | p_3 | ~q_4 | ~q_5 )).
% 1.12/1.30  cnf(matrix-17, plain, ( p_3 | ~u_9 )).
% 1.12/1.30  cnf(matrix-18, plain, ( u_10 | p_4 | ~p_5 | ~p_6 )).
% 1.12/1.30  cnf(matrix-19, plain, ( p_4 | ~u_10 )).
% 1.12/1.30  cnf(matrix-20, plain, ( u_11 | p_4 | ~q_5 | ~q_6 )).
% 1.12/1.30  cnf(matrix-21, plain, ( p_4 | ~u_11 )).
% 1.12/1.30  cnf(matrix-22, plain, ( u_12 | p_5 | ~p_6 | ~p_7 )).
% 1.12/1.30  cnf(matrix-23, plain, ( p_5 | ~u_12 )).
% 1.12/1.30  cnf(matrix-24, plain, ( u_13 | p_5 | ~q_6 | ~q_7 )).
% 1.12/1.30  cnf(matrix-25, plain, ( p_5 | ~u_13 )).
% 1.12/1.30  cnf(matrix-26, plain, ( u_14 | p_6 | ~p_7 | ~p_8 )).
% 1.12/1.30  cnf(matrix-27, plain, ( p_6 | ~u_14 )).
% 1.12/1.30  cnf(matrix-28, plain, ( u_15 | p_6 | ~q_7 | ~q_8 )).
% 1.12/1.30  cnf(matrix-29, plain, ( p_6 | ~u_15 )).
% 1.12/1.30  cnf(matrix-30, plain, ( u_16 | p_7 | ~p_8 | ~p_9 )).
% 1.12/1.30  cnf(matrix-31, plain, ( p_7 | ~u_16 )).
% 1.12/1.30  cnf(matrix-32, plain, ( u_17 | p_7 | ~q_8 | ~q_9 )).
% 1.12/1.30  cnf(matrix-33, plain, ( p_7 | ~u_17 )).
% 1.12/1.30  cnf(matrix-34, plain, ( u_18 | q_0 | ~p_1 | ~q_2 )).
% 1.12/1.30  cnf(matrix-35, plain, ( q_0 | ~u_18 )).
% 1.12/1.30  cnf(matrix-36, plain, ( u_19 | q_0 | ~q_1 | ~p_2 )).
% 1.12/1.30  cnf(matrix-37, plain, ( q_0 | ~u_19 )).
% 1.12/1.30  cnf(matrix-38, plain, ( u_20 | q_1 | ~p_2 | ~q_3 )).
% 1.12/1.30  cnf(matrix-39, plain, ( q_1 | ~u_20 )).
% 1.12/1.30  cnf(matrix-40, plain, ( u_21 | q_1 | ~q_2 | ~p_3 )).
% 1.12/1.30  cnf(matrix-41, plain, ( q_1 | ~u_21 )).
% 1.12/1.30  cnf(matrix-42, plain, ( u_22 | q_2 | ~p_3 | ~q_4 )).
% 1.12/1.30  cnf(matrix-43, plain, ( q_2 | ~u_22 )).
% 1.12/1.30  cnf(matrix-44, plain, ( u_23 | q_2 | ~q_3 | ~p_4 )).
% 1.12/1.30  cnf(matrix-45, plain, ( q_2 | ~u_23 )).
% 1.12/1.30  cnf(matrix-46, plain, ( u_24 | q_3 | ~p_4 | ~q_5 )).
% 1.12/1.30  cnf(matrix-47, plain, ( q_3 | ~u_24 )).
% 1.12/1.30  cnf(matrix-48, plain, ( u_25 | q_3 | ~q_4 | ~p_5 )).
% 1.12/1.30  cnf(matrix-49, plain, ( q_3 | ~u_25 )).
% 1.12/1.30  cnf(matrix-50, plain, ( u_26 | q_4 | ~p_5 | ~q_6 )).
% 1.12/1.30  cnf(matrix-51, plain, ( q_4 | ~u_26 )).
% 1.12/1.30  cnf(matrix-52, plain, ( u_27 | q_4 | ~q_5 | ~p_6 )).
% 1.12/1.30  cnf(matrix-53, plain, ( q_4 | ~u_27 )).
% 1.12/1.30  cnf(matrix-54, plain, ( u_28 | q_5 | ~p_6 | ~q_7 )).
% 1.12/1.30  cnf(matrix-55, plain, ( q_5 | ~u_28 )).
% 1.12/1.30  cnf(matrix-56, plain, ( u_29 | q_5 | ~q_6 | ~p_7 )).
% 1.12/1.30  cnf(matrix-57, plain, ( q_5 | ~u_29 )).
% 1.12/1.30  cnf(matrix-58, plain, ( u_30 | q_6 | ~p_7 | ~q_8 )).
% 1.12/1.30  cnf(matrix-59, plain, ( q_6 | ~u_30 )).
% 1.12/1.30  cnf(matrix-60, plain, ( u_31 | q_6 | ~q_7 | ~p_8 )).
% 1.12/1.30  cnf(matrix-61, plain, ( q_6 | ~u_31 )).
% 1.12/1.30  cnf(matrix-62, plain, ( u_32 | q_7 | ~p_8 | ~q_9 )).
% 1.12/1.30  cnf(matrix-63, plain, ( q_7 | ~u_32 )).
% 1.12/1.30  cnf(matrix-64, plain, ( u_33 | q_7 | ~q_8 | ~p_9 )).
% 1.12/1.30  cnf(matrix-65, plain, ( q_7 | ~u_33 )).
% 1.12/1.30  cnf(matrix-66, plain, ( u_34 | p_9 | ~p_4 )).
% 1.12/1.30  cnf(matrix-67, plain, ( p_9 | ~u_34 )).
% 1.12/1.30  cnf(matrix-68, plain, ( u_35 | p_10 | ~p_5 )).
% 1.12/1.30  cnf(matrix-69, plain, ( p_10 | ~u_35 )).
% 1.12/1.30  cnf(matrix-70, plain, ( u_36 | q_9 | ~q_4 )).
% 1.12/1.30  cnf(matrix-71, plain, ( q_9 | ~u_36 )).
% 1.12/1.30  cnf(matrix-72, plain, ( u_37 | q_10 | ~q_5 )).
% 1.12/1.30  cnf(matrix-73, plain, ( q_10 | ~u_37 )).
% 1.12/1.30  cnf(matrix-74, plain, ( u_38 | p_8 )).
% 1.12/1.30  cnf(matrix-75, plain, ( p_8 | ~u_38 )).
% 1.12/1.30  cnf(matrix-76, plain, ( u_39 | p_9 )).
% 1.12/1.30  cnf(matrix-77, plain, ( p_9 | ~u_39 )).
% 1.12/1.30  cnf(matrix-78, plain, ( u_40 | q_8 )).
% 1.12/1.30  cnf(matrix-79, plain, ( q_8 | ~u_40 )).
% 1.12/1.30  cnf(matrix-80, plain, ( u_41 | q_9 )).
% 1.12/1.30  cnf(matrix-81, plain, ( q_9 | ~u_41 )).
% 1.12/1.30  
% 1.12/1.30  % Proof stack:
% 1.12/1.30  cnf(proof-stack, plain, 
% 1.12/1.30  proof_stack(
% 1.12/1.30  start(1), 
% 1.12/1.30  left_branch(0, 0, 0, 2), 
% 1.12/1.30  left_branch(0, 37, 0, 3), 
% 1.12/1.30  left_branch(0, 36, 0, 4), 
% 1.12/1.30  left_branch(0, 13, 0, 5), 
% 1.12/1.30  left_branch(0, 12, 0, 6), 
% 1.12/1.30  left_branch(0, 53, 0, 7), 
% 1.12/1.30  left_branch(0, 52, 0, 8), 
% 1.12/1.30  left_branch(0, 28, 1, 9), 
% 1.12/1.30  left_branch(0, 29, 1, 10), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  left_branch(0, 64, 1, 11), 
% 1.12/1.30  left_branch(0, 65, 1, 12), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  left_branch(0, 79, 0, 13), 
% 1.12/1.30  left_branch(0, 78, 0, 14), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  left_branch(0, 77, 0, 14), 
% 1.12/1.30  left_branch(0, 76, 0, 15), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  left_branch(0, 79, 0, 12), 
% 1.12/1.30  left_branch(0, 78, 0, 13), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  right_branch(9), 
% 1.12/1.30  left_branch(0, 54, 1, 10), 
% 1.12/1.30  left_branch(0, 55, 1, 11), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  lemmata(0, 0), 
% 1.12/1.30  left_branch(0, 64, 1, 13), 
% 1.12/1.30  left_branch(0, 65, 1, 14), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 79, 0, 15), 
% 1.12/1.30  left_branch(0, 78, 0, 16), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 77, 0, 16), 
% 1.12/1.30  left_branch(0, 76, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  reduction(0, 5), 
% 1.12/1.30  right_branch(8), 
% 1.12/1.30  right_branch(7), 
% 1.12/1.30  left_branch(0, 48, 1, 8), 
% 1.12/1.30  left_branch(0, 49, 1, 9), 
% 1.12/1.30  reduction(0, 5), 
% 1.12/1.30  right_branch(9), 
% 1.12/1.30  lemmata(0, 0), 
% 1.12/1.30  left_branch(0, 25, 0, 11), 
% 1.12/1.30  left_branch(0, 24, 0, 12), 
% 1.12/1.30  left_branch(0, 64, 1, 13), 
% 1.12/1.30  left_branch(0, 65, 1, 14), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 79, 0, 15), 
% 1.12/1.30  left_branch(0, 78, 0, 16), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 77, 0, 16), 
% 1.12/1.30  left_branch(0, 76, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  left_branch(0, 60, 1, 14), 
% 1.12/1.30  left_branch(0, 61, 1, 15), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  lemmata(0, 2), 
% 1.12/1.30  left_branch(0, 75, 0, 17), 
% 1.12/1.30  left_branch(0, 74, 0, 18), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  right_branch(8), 
% 1.12/1.30  reduction(0, 3), 
% 1.12/1.30  right_branch(6), 
% 1.12/1.30  right_branch(5), 
% 1.12/1.30  left_branch(0, 38, 1, 6), 
% 1.12/1.30  left_branch(0, 39, 1, 7), 
% 1.12/1.30  reduction(0, 3), 
% 1.12/1.30  right_branch(7), 
% 1.12/1.30  lemmata(0, 0), 
% 1.12/1.30  left_branch(0, 49, 0, 9), 
% 1.12/1.30  left_branch(0, 48, 0, 10), 
% 1.12/1.30  left_branch(0, 25, 0, 11), 
% 1.12/1.30  left_branch(0, 24, 0, 12), 
% 1.12/1.30  left_branch(0, 64, 1, 13), 
% 1.12/1.30  left_branch(0, 65, 1, 14), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 79, 0, 15), 
% 1.12/1.30  left_branch(0, 78, 0, 16), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 77, 0, 16), 
% 1.12/1.30  left_branch(0, 76, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  left_branch(0, 60, 1, 14), 
% 1.12/1.30  left_branch(0, 61, 1, 15), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  lemmata(0, 2), 
% 1.12/1.30  left_branch(0, 75, 0, 17), 
% 1.12/1.30  left_branch(0, 74, 0, 18), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  left_branch(0, 50, 1, 12), 
% 1.12/1.30  left_branch(0, 51, 1, 13), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  lemmata(0, 2), 
% 1.12/1.30  left_branch(0, 60, 1, 15), 
% 1.12/1.30  left_branch(0, 61, 1, 16), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  left_branch(0, 64, 1, 17), 
% 1.12/1.30  left_branch(0, 65, 1, 18), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  left_branch(0, 79, 0, 19), 
% 1.12/1.30  left_branch(0, 78, 0, 20), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(20), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  left_branch(0, 77, 0, 20), 
% 1.12/1.30  left_branch(0, 76, 0, 21), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(21), 
% 1.12/1.30  right_branch(20), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  left_branch(0, 75, 0, 18), 
% 1.12/1.30  left_branch(0, 74, 0, 19), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  reduction(0, 4), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  right_branch(9), 
% 1.12/1.30  right_branch(6), 
% 1.12/1.30  reduction(0, 1), 
% 1.12/1.30  right_branch(4), 
% 1.12/1.30  right_branch(3), 
% 1.12/1.30  left_branch(0, 5, 0, 4), 
% 1.12/1.30  left_branch(0, 4, 0, 5), 
% 1.12/1.30  left_branch(0, 45, 0, 6), 
% 1.12/1.30  left_branch(0, 44, 0, 7), 
% 1.12/1.30  left_branch(0, 21, 0, 8), 
% 1.12/1.30  left_branch(0, 20, 0, 9), 
% 1.12/1.30  left_branch(0, 60, 1, 10), 
% 1.12/1.30  left_branch(0, 61, 1, 11), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  left_branch(0, 64, 1, 12), 
% 1.12/1.30  left_branch(0, 65, 1, 13), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  left_branch(0, 79, 0, 14), 
% 1.12/1.30  left_branch(0, 78, 0, 15), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 77, 0, 15), 
% 1.12/1.30  left_branch(0, 76, 0, 16), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  left_branch(0, 75, 0, 13), 
% 1.12/1.30  left_branch(0, 74, 0, 14), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  left_branch(0, 56, 1, 11), 
% 1.12/1.30  left_branch(0, 57, 1, 12), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  lemmata(0, 1), 
% 1.12/1.30  left_branch(0, 32, 1, 14), 
% 1.12/1.30  left_branch(0, 33, 1, 15), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 79, 0, 16), 
% 1.12/1.30  left_branch(0, 78, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  left_branch(0, 81, 0, 17), 
% 1.12/1.30  left_branch(0, 80, 0, 18), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  reduction(0, 5), 
% 1.12/1.30  right_branch(9), 
% 1.12/1.30  right_branch(8), 
% 1.12/1.30  left_branch(0, 46, 1, 9), 
% 1.12/1.30  left_branch(0, 47, 1, 10), 
% 1.12/1.30  reduction(0, 5), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  lemmata(0, 1), 
% 1.12/1.30  left_branch(0, 57, 0, 12), 
% 1.12/1.30  left_branch(0, 56, 0, 13), 
% 1.12/1.30  left_branch(0, 32, 1, 14), 
% 1.12/1.30  left_branch(0, 33, 1, 15), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 79, 0, 16), 
% 1.12/1.30  left_branch(0, 78, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  left_branch(0, 81, 0, 17), 
% 1.12/1.30  left_branch(0, 80, 0, 18), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 58, 1, 15), 
% 1.12/1.30  left_branch(0, 59, 1, 16), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  lemmata(0, 3), 
% 1.12/1.30  left_branch(0, 79, 0, 18), 
% 1.12/1.30  left_branch(0, 78, 0, 19), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  right_branch(9), 
% 1.12/1.30  reduction(0, 3), 
% 1.12/1.30  right_branch(7), 
% 1.12/1.30  right_branch(6), 
% 1.12/1.30  left_branch(0, 40, 1, 7), 
% 1.12/1.30  left_branch(0, 41, 1, 8), 
% 1.12/1.30  reduction(0, 3), 
% 1.12/1.30  right_branch(8), 
% 1.12/1.30  lemmata(0, 1), 
% 1.12/1.30  left_branch(0, 17, 0, 10), 
% 1.12/1.30  left_branch(0, 16, 0, 11), 
% 1.12/1.30  left_branch(0, 57, 0, 12), 
% 1.12/1.30  left_branch(0, 56, 0, 13), 
% 1.12/1.30  left_branch(0, 32, 1, 14), 
% 1.12/1.30  left_branch(0, 33, 1, 15), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  left_branch(0, 79, 0, 16), 
% 1.12/1.30  left_branch(0, 78, 0, 17), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  left_branch(0, 81, 0, 17), 
% 1.12/1.30  left_branch(0, 80, 0, 18), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  left_branch(0, 58, 1, 15), 
% 1.12/1.30  left_branch(0, 59, 1, 16), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  lemmata(0, 3), 
% 1.12/1.30  left_branch(0, 79, 0, 18), 
% 1.12/1.30  left_branch(0, 78, 0, 19), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  right_branch(15), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  right_branch(12), 
% 1.12/1.30  left_branch(0, 52, 1, 13), 
% 1.12/1.30  left_branch(0, 53, 1, 14), 
% 1.12/1.30  reduction(0, 6), 
% 1.12/1.30  right_branch(14), 
% 1.12/1.30  lemmata(0, 3), 
% 1.12/1.30  left_branch(0, 28, 1, 16), 
% 1.12/1.30  left_branch(0, 29, 1, 17), 
% 1.12/1.30  reduction(0, 7), 
% 1.12/1.30  right_branch(17), 
% 1.12/1.30  left_branch(0, 64, 1, 18), 
% 1.12/1.30  left_branch(0, 65, 1, 19), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  left_branch(0, 79, 0, 20), 
% 1.12/1.30  left_branch(0, 78, 0, 21), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(21), 
% 1.12/1.30  right_branch(20), 
% 1.12/1.30  left_branch(0, 77, 0, 21), 
% 1.12/1.30  left_branch(0, 76, 0, 22), 
% 1.12/1.30  reduction(0, 9), 
% 1.12/1.30  right_branch(22), 
% 1.12/1.30  right_branch(21), 
% 1.12/1.30  right_branch(18), 
% 1.12/1.30  left_branch(0, 79, 0, 19), 
% 1.12/1.30  left_branch(0, 78, 0, 20), 
% 1.12/1.30  reduction(0, 8), 
% 1.12/1.30  right_branch(20), 
% 1.12/1.30  right_branch(19), 
% 1.12/1.30  right_branch(16), 
% 1.12/1.30  right_branch(13), 
% 1.12/1.30  reduction(0, 4), 
% 1.12/1.30  right_branch(11), 
% 1.12/1.30  right_branch(10), 
% 1.12/1.30  right_branch(7), 
% 1.12/1.30  reduction(0, 1), 
% 1.12/1.30  right_branch(5), 
% 1.12/1.30  right_branch(4), 
% 1.12/1.30  right_branch(2)
% 1.12/1.30  )).
% 1.12/1.30  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------