%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n024.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 14:41:52 EDT 2024

% Result   : Unsatisfiable 12.23s 12.40s
% Output   : Proof 12.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN102-1.007.007 : TPTP v8.1.2. Bugfixed v1.2.0.
% 0.06/0.12  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Mar 20 23:01:46 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 12.23/12.40  % SZS status Unsatisfiable for theBenchmark
% 12.23/12.40  % SZS output start Proof for theBenchmark
% 12.23/12.40  
% 12.23/12.40  % Problem matrix:
% 12.23/12.40  cnf(matrix-0, plain, ( ~p_0(a, a, a, a, a, a, a) | ~q_0(a, a, a, a, a, a, a) )).
% 12.23/12.40  cnf(matrix-1, plain, ( p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-2, plain, ( p_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-3, plain, ( p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-4, plain, ( p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-5, plain, ( p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-6, plain, ( p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-7, plain, ( p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-8, plain, ( p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-9, plain, ( p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-10, plain, ( p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-11, plain, ( p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-12, plain, ( p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-13, plain, ( p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-14, plain, ( p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-15, plain, ( p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-16, plain, ( p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-17, plain, ( p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-18, plain, ( p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-19, plain, ( p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-20, plain, ( p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-21, plain, ( p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-22, plain, ( p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-23, plain, ( p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-24, plain, ( p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-25, plain, ( q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-26, plain, ( q_0(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-27, plain, ( q_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-28, plain, ( q_1(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-29, plain, ( q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-30, plain, ( q_2(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-31, plain, ( q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-32, plain, ( q_3(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-33, plain, ( q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-34, plain, ( q_4(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-35, plain, ( q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-36, plain, ( q_5(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-37, plain, ( q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-38, plain, ( q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-39, plain, ( q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-40, plain, ( q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-41, plain, ( q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-42, plain, ( q_8(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-43, plain, ( q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-44, plain, ( q_9(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-45, plain, ( q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-46, plain, ( q_10(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-47, plain, ( q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-48, plain, ( q_11(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-49, plain, ( p_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-50, plain, ( p_14(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~p_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-51, plain, ( q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_6(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-52, plain, ( q_14(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~q_7(X_1, X_2, X_3, X_4, X_5, X_6, X_7) )).
% 12.23/12.40  cnf(matrix-53, plain, ( p_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~nq_1(X_1) | ~nq_2(X_2) | ~nq_3(X_3) | ~nq_4(X_4) | ~nq_5(X_5) | ~nq_6(X_6) | ~nq_7(X_7) )).
% 12.23/12.40  cnf(matrix-54, plain, ( p_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~nq_1(X_1) | ~nq_2(X_2) | ~nq_3(X_3) | ~nq_4(X_4) | ~nq_5(X_5) | ~nq_6(X_6) | ~nq_7(X_7) )).
% 12.23/12.40  cnf(matrix-55, plain, ( q_12(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~nq_1(X_1) | ~nq_2(X_2) | ~nq_3(X_3) | ~nq_4(X_4) | ~nq_5(X_5) | ~nq_6(X_6) | ~nq_7(X_7) )).
% 12.23/12.40  cnf(matrix-56, plain, ( q_13(X_1, X_2, X_3, X_4, X_5, X_6, X_7) | ~nq_1(X_1) | ~nq_2(X_2) | ~nq_3(X_3) | ~nq_4(X_4) | ~nq_5(X_5) | ~nq_6(X_6) | ~nq_7(X_7) )).
% 12.23/12.40  cnf(matrix-57, plain, ( nq_1(a) )).
% 12.23/12.40  cnf(matrix-58, plain, ( nq_1(b) )).
% 12.23/12.40  cnf(matrix-59, plain, ( nq_2(a) )).
% 12.23/12.40  cnf(matrix-60, plain, ( nq_2(b) )).
% 12.23/12.40  cnf(matrix-61, plain, ( nq_3(a) )).
% 12.23/12.40  cnf(matrix-62, plain, ( nq_3(b) )).
% 12.23/12.40  cnf(matrix-63, plain, ( nq_4(a) )).
% 12.23/12.40  cnf(matrix-64, plain, ( nq_4(b) )).
% 12.23/12.40  cnf(matrix-65, plain, ( nq_5(a) )).
% 12.23/12.40  cnf(matrix-66, plain, ( nq_5(b) )).
% 12.23/12.40  cnf(matrix-67, plain, ( nq_6(a) )).
% 12.23/12.40  cnf(matrix-68, plain, ( nq_6(b) )).
% 12.23/12.40  cnf(matrix-69, plain, ( nq_7(a) )).
% 12.23/12.40  cnf(matrix-70, plain, ( nq_7(b) )).
% 12.23/12.40  
% 12.23/12.40  % Proof stack:
% 12.23/12.40  cnf(proof-stack, plain, 
% 12.23/12.40  proof_stack(
% 12.23/12.40  start(0), 
% 12.23/12.40  left_branch(0, 2, 0, 2), 
% 12.23/12.40  left_branch(0, 30, 0, 3), 
% 12.23/12.40  left_branch(0, 10, 0, 4), 
% 12.23/12.40  left_branch(0, 38, 0, 5), 
% 12.23/12.40  left_branch(0, 18, 0, 6), 
% 12.23/12.40  left_branch(0, 46, 0, 7), 
% 12.23/12.40  left_branch(0, 53, 0, 8), 
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% 12.23/12.40  left_branch(0, 59, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 57, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  lemmata(0, 3), 
% 12.23/12.40  right_branch(13), 
% 12.23/12.40  right_branch(11), 
% 12.23/12.40  left_branch(0, 44, 0, 12), 
% 12.23/12.40  left_branch(0, 24, 0, 13), 
% 12.23/12.40  left_branch(0, 56, 0, 14), 
% 12.23/12.40  left_branch(0, 69, 0, 15), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  left_branch(0, 67, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 65, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 63, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 61, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 59, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 57, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  left_branch(0, 55, 0, 15), 
% 12.23/12.40  left_branch(0, 69, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 67, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 65, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 63, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 61, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 59, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  left_branch(0, 57, 0, 22), 
% 12.23/12.40  right_branch(22), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  right_branch(13), 
% 12.23/12.40  left_branch(0, 45, 0, 14), 
% 12.23/12.40  left_branch(0, 55, 0, 15), 
% 12.23/12.40  left_branch(0, 69, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 67, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 65, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 63, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 61, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 59, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  left_branch(0, 57, 0, 22), 
% 12.23/12.40  right_branch(22), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  lemmata(0, 4), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  right_branch(12), 
% 12.23/12.40  right_branch(10), 
% 12.23/12.40  right_branch(8), 
% 12.23/12.40  left_branch(0, 38, 0, 9), 
% 12.23/12.40  left_branch(0, 18, 0, 10), 
% 12.23/12.40  left_branch(0, 46, 0, 11), 
% 12.23/12.40  left_branch(0, 53, 0, 12), 
% 12.23/12.40  left_branch(0, 69, 0, 13), 
% 12.23/12.40  right_branch(13), 
% 12.23/12.40  left_branch(0, 67, 0, 14), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  left_branch(0, 65, 0, 15), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  left_branch(0, 63, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 61, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 59, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 57, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  right_branch(12), 
% 12.23/12.40  left_branch(0, 48, 0, 13), 
% 12.23/12.40  left_branch(0, 54, 0, 14), 
% 12.23/12.40  left_branch(0, 69, 0, 15), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  left_branch(0, 67, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 65, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 63, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 61, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 59, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 57, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  left_branch(0, 55, 0, 15), 
% 12.23/12.40  left_branch(0, 69, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 67, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 65, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 63, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 61, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 59, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  left_branch(0, 57, 0, 22), 
% 12.23/12.40  right_branch(22), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  right_branch(13), 
% 12.23/12.40  right_branch(11), 
% 12.23/12.40  left_branch(0, 44, 0, 12), 
% 12.23/12.40  left_branch(0, 24, 0, 13), 
% 12.23/12.40  left_branch(0, 56, 0, 14), 
% 12.23/12.40  left_branch(0, 69, 0, 15), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  left_branch(0, 67, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 65, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 63, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 61, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 59, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 57, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  right_branch(14), 
% 12.23/12.40  left_branch(0, 55, 0, 15), 
% 12.23/12.40  left_branch(0, 69, 0, 16), 
% 12.23/12.40  right_branch(16), 
% 12.23/12.40  left_branch(0, 67, 0, 17), 
% 12.23/12.40  right_branch(17), 
% 12.23/12.40  left_branch(0, 65, 0, 18), 
% 12.23/12.40  right_branch(18), 
% 12.23/12.40  left_branch(0, 63, 0, 19), 
% 12.23/12.40  right_branch(19), 
% 12.23/12.40  left_branch(0, 61, 0, 20), 
% 12.23/12.40  right_branch(20), 
% 12.23/12.40  left_branch(0, 59, 0, 21), 
% 12.23/12.40  right_branch(21), 
% 12.23/12.40  left_branch(0, 57, 0, 22), 
% 12.23/12.40  right_branch(22), 
% 12.23/12.40  right_branch(15), 
% 12.23/12.40  right_branch(13), 
% 12.23/12.40  lemmata(0, 3), 
% 12.23/12.40  right_branch(12), 
% 12.23/12.40  right_branch(10), 
% 12.23/12.40  lemmata(0, 2), 
% 12.23/12.41  right_branch(9), 
% 12.23/12.41  right_branch(7), 
% 12.23/12.41  left_branch(0, 33, 0, 8), 
% 12.23/12.41  left_branch(0, 38, 0, 9), 
% 12.23/12.41  left_branch(0, 18, 0, 10), 
% 12.23/12.41  left_branch(0, 46, 0, 11), 
% 12.23/12.41  left_branch(0, 53, 0, 12), 
% 12.23/12.41  left_branch(0, 69, 0, 13), 
% 12.23/12.41  right_branch(13), 
% 12.23/12.41  left_branch(0, 67, 0, 14), 
% 12.23/12.41  right_branch(14), 
% 12.23/12.41  left_branch(0, 65, 0, 15), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  left_branch(0, 63, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 61, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 59, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 57, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  right_branch(12), 
% 12.23/12.41  left_branch(0, 48, 0, 13), 
% 12.23/12.41  left_branch(0, 54, 0, 14), 
% 12.23/12.41  left_branch(0, 69, 0, 15), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  left_branch(0, 67, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 65, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 63, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 61, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 59, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 57, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  right_branch(14), 
% 12.23/12.41  left_branch(0, 55, 0, 15), 
% 12.23/12.41  left_branch(0, 69, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 67, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 65, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 63, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 61, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 59, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  left_branch(0, 57, 0, 22), 
% 12.23/12.41  right_branch(22), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  right_branch(13), 
% 12.23/12.41  right_branch(11), 
% 12.23/12.41  left_branch(0, 44, 0, 12), 
% 12.23/12.41  left_branch(0, 24, 0, 13), 
% 12.23/12.41  left_branch(0, 56, 0, 14), 
% 12.23/12.41  left_branch(0, 69, 0, 15), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  left_branch(0, 67, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 65, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 63, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 61, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 59, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 57, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  right_branch(14), 
% 12.23/12.41  left_branch(0, 55, 0, 15), 
% 12.23/12.41  left_branch(0, 69, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 67, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 65, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 63, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 61, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 59, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  left_branch(0, 57, 0, 22), 
% 12.23/12.41  right_branch(22), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  right_branch(13), 
% 12.23/12.41  lemmata(0, 3), 
% 12.23/12.41  right_branch(12), 
% 12.23/12.41  right_branch(10), 
% 12.23/12.41  left_branch(0, 39, 0, 11), 
% 12.23/12.41  left_branch(0, 44, 0, 12), 
% 12.23/12.41  left_branch(0, 24, 0, 13), 
% 12.23/12.41  left_branch(0, 56, 0, 14), 
% 12.23/12.41  left_branch(0, 69, 0, 15), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  left_branch(0, 67, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 65, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 63, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 61, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 59, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 57, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  right_branch(14), 
% 12.23/12.41  left_branch(0, 55, 0, 15), 
% 12.23/12.41  left_branch(0, 69, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 67, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 65, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 63, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 61, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 59, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  left_branch(0, 57, 0, 22), 
% 12.23/12.41  right_branch(22), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  right_branch(13), 
% 12.23/12.41  left_branch(0, 45, 0, 14), 
% 12.23/12.41  left_branch(0, 55, 0, 15), 
% 12.23/12.41  left_branch(0, 69, 0, 16), 
% 12.23/12.41  right_branch(16), 
% 12.23/12.41  left_branch(0, 67, 0, 17), 
% 12.23/12.41  right_branch(17), 
% 12.23/12.41  left_branch(0, 65, 0, 18), 
% 12.23/12.41  right_branch(18), 
% 12.23/12.41  left_branch(0, 63, 0, 19), 
% 12.23/12.41  right_branch(19), 
% 12.23/12.41  left_branch(0, 61, 0, 20), 
% 12.23/12.41  right_branch(20), 
% 12.23/12.41  left_branch(0, 59, 0, 21), 
% 12.23/12.41  right_branch(21), 
% 12.23/12.41  left_branch(0, 57, 0, 22), 
% 12.23/12.41  right_branch(22), 
% 12.23/12.41  right_branch(15), 
% 12.23/12.41  lemmata(0, 4), 
% 12.23/12.41  right_branch(14), 
% 12.23/12.41  right_branch(12), 
% 12.23/12.41  lemmata(0, 3), 
% 12.23/12.41  right_branch(11), 
% 12.23/12.41  right_branch(9), 
% 12.23/12.41  lemmata(0, 2), 
% 12.23/12.41  right_branch(8), 
% 12.23/12.41  right_branch(6), 
% 12.23/12.41  lemmata(0, 1), 
% 12.23/12.41  right_branch(5), 
% 12.23/12.41  right_branch(3)
% 12.23/12.41  )).
% 12.23/12.41  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------