TSTP Solution File: SYO634-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n007.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 14:45:02 EDT 2024

% Result   : Unsatisfiable 0.52s 0.75s
% Output   : Proof 0.52s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO634-1 : TPTP v8.1.2. Released v7.1.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Mar 20 20:51:44 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.52/0.75  % SZS status Unsatisfiable for theBenchmark
% 0.52/0.75  % SZS output start Proof for theBenchmark
% 0.52/0.75  
% 0.52/0.75  % Problem matrix:
% 0.52/0.75  cnf(matrix-0, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | E(f(B_0), s(s(s(s(s(s(s(s(0))))))))) )).
% 0.52/0.75  cnf(matrix-1, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(A_8), s(0)) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_7), s(s(0))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(0, K), AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)) )).
% 0.52/0.75  cnf(matrix-2, plain, ( E(f(B), s(s(s(s(s(s(s(s(s(s(0))))))))))) )).
% 0.52/0.75  cnf(matrix-3, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(s(s(0)), K), AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)) )).
% 0.52/0.75  cnf(matrix-4, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | LEQ(AP(s(s(s(s(s(s(s(s(0)))))))), K), B_0) )).
% 0.52/0.75  cnf(matrix-5, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | E(f(B_0), s(s(s(s(s(s(0))))))) )).
% 0.52/0.75  cnf(matrix-6, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(s(s(s(0))), K), AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)) )).
% 0.52/0.75  cnf(matrix-7, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(s(s(s(s(0)))), K), AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)) )).
% 0.52/0.75  cnf(matrix-8, plain, ( E(f(B_0), s(s(s(s(s(s(s(s(s(0)))))))))) )).
% 0.52/0.75  cnf(matrix-9, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_7), s(s(0))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(s(0), K), AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)) )).
% 0.52/0.75  cnf(matrix-10, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_7), s(s(0))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(0)) )).
% 0.52/0.75  cnf(matrix-11, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(s(0))))) )).
% 0.52/0.75  cnf(matrix-12, plain, ( LEQ(AP(s(s(s(s(s(s(s(s(s(0))))))))), K), B_0) )).
% 0.52/0.75  cnf(matrix-13, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | E(f(B_0), s(s(s(s(s(s(s(0)))))))) )).
% 0.52/0.75  cnf(matrix-14, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(s(0)))) )).
% 0.52/0.75  cnf(matrix-15, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | LEQ(AP(s(s(s(s(s(s(0)))))), K), B_0) )).
% 0.52/0.75  cnf(matrix-16, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(A_8), s(0)) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_7), s(s(0))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | ~E(f(A_9), 0) )).
% 0.52/0.75  cnf(matrix-17, plain, ( ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | LEQ(AP(s(s(s(s(s(s(s(0))))))), K), B_0) )).
% 0.52/0.75  cnf(matrix-18, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), s(s(0))) )).
% 0.52/0.75  cnf(matrix-19, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(B_0), s(s(s(s(s(0)))))) )).
% 0.52/0.75  cnf(matrix-20, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | LEQ(AP(s(s(s(s(s(0))))), K), B_0) )).
% 0.52/0.75  cnf(matrix-21, plain, ( ~E(f(A_1), s(s(s(s(s(s(s(s(0))))))))) | ~E(f(A_4), s(s(s(s(s(0)))))) | ~E(f(A_8), s(0)) | ~E(f(B_0), s(s(s(s(s(s(s(s(s(s(0))))))))))) | ~E(f(A_5), s(s(s(s(0))))) | ~E(f(A_7), s(s(0))) | ~E(f(A_2), s(s(s(s(s(s(s(0)))))))) | ~E(f(A_6), s(s(s(0)))) | ~E(f(A_0), s(s(s(s(s(s(s(s(s(0)))))))))) | ~E(f(A_3), s(s(s(s(s(s(0))))))) | E(f(AP(s(s(s(s(s(s(s(s(s(s(s(0))))))))))), K)), 0) )).
% 0.52/0.75  cnf(matrix-22, plain, ( LEQ(AP(s(s(s(s(s(s(s(s(s(s(0)))))))))), K), B) )).
% 0.52/0.75  
% 0.52/0.75  % Proof stack:
% 0.52/0.75  cnf(proof-stack, plain, 
% 0.52/0.75  proof_stack(
% 0.52/0.75  start(16), 
% 0.52/0.75  left_branch(0, 0, 2, 2), 
% 0.52/0.75  left_branch(0, 8, 0, 3), 
% 0.52/0.75  right_branch(3), 
% 0.52/0.75  left_branch(0, 2, 0, 4), 
% 0.52/0.75  right_branch(4), 
% 0.52/0.75  right_branch(2), 
% 0.52/0.75  left_branch(0, 21, 10, 3), 
% 0.52/0.75  left_branch(0, 0, 2, 4), 
% 0.52/0.75  left_branch(0, 8, 0, 5), 
% 0.52/0.75  right_branch(5), 
% 0.52/0.75  left_branch(0, 2, 0, 6), 
% 0.52/0.75  right_branch(6), 
% 0.52/0.75  right_branch(4), 
% 0.52/0.75  left_branch(0, 5, 4, 5), 
% 0.52/0.75  left_branch(0, 8, 0, 6), 
% 0.52/0.75  right_branch(6), 
% 0.52/0.75  left_branch(0, 13, 3, 7), 
% 0.52/0.75  left_branch(0, 8, 0, 8), 
% 0.52/0.75  right_branch(8), 
% 0.52/0.75  left_branch(0, 0, 2, 9), 
% 0.52/0.75  left_branch(0, 8, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  left_branch(0, 2, 0, 11), 
% 0.52/0.75  right_branch(11), 
% 0.52/0.75  right_branch(9), 
% 0.52/0.75  left_branch(0, 2, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  right_branch(7), 
% 0.52/0.75  left_branch(0, 0, 2, 8), 
% 0.52/0.75  left_branch(0, 8, 0, 9), 
% 0.52/0.75  right_branch(9), 
% 0.52/0.75  left_branch(0, 2, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  right_branch(8), 
% 0.52/0.75  left_branch(0, 2, 0, 9), 
% 0.52/0.75  right_branch(9), 
% 0.52/0.75  right_branch(5), 
% 0.52/0.75  left_branch(0, 8, 0, 6), 
% 0.52/0.75  right_branch(6), 
% 0.52/0.75  left_branch(0, 14, 7, 7), 
% 0.52/0.75  left_branch(0, 0, 2, 8), 
% 0.52/0.75  left_branch(0, 8, 0, 9), 
% 0.52/0.75  right_branch(9), 
% 0.52/0.75  left_branch(0, 2, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  right_branch(8), 
% 0.52/0.75  left_branch(0, 5, 4, 9), 
% 0.52/0.75  left_branch(0, 8, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  left_branch(0, 13, 3, 11), 
% 0.52/0.75  left_branch(0, 8, 0, 12), 
% 0.52/0.75  right_branch(12), 
% 0.52/0.75  left_branch(0, 0, 2, 13), 
% 0.52/0.75  left_branch(0, 8, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  left_branch(0, 2, 0, 15), 
% 0.52/0.75  right_branch(15), 
% 0.52/0.75  right_branch(13), 
% 0.52/0.75  left_branch(0, 2, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  right_branch(11), 
% 0.52/0.75  left_branch(0, 0, 2, 12), 
% 0.52/0.75  left_branch(0, 8, 0, 13), 
% 0.52/0.75  right_branch(13), 
% 0.52/0.75  left_branch(0, 2, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  right_branch(12), 
% 0.52/0.75  left_branch(0, 2, 0, 13), 
% 0.52/0.75  right_branch(13), 
% 0.52/0.75  right_branch(9), 
% 0.52/0.75  left_branch(0, 8, 0, 10), 
% 0.52/0.75  right_branch(10), 
% 0.52/0.75  left_branch(0, 13, 3, 11), 
% 0.52/0.75  left_branch(0, 8, 0, 12), 
% 0.52/0.75  right_branch(12), 
% 0.52/0.75  left_branch(0, 0, 2, 13), 
% 0.52/0.75  left_branch(0, 8, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  left_branch(0, 2, 0, 15), 
% 0.52/0.75  right_branch(15), 
% 0.52/0.75  right_branch(13), 
% 0.52/0.75  left_branch(0, 2, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  right_branch(11), 
% 0.52/0.75  left_branch(0, 11, 6, 12), 
% 0.52/0.75  left_branch(0, 0, 2, 13), 
% 0.52/0.75  left_branch(0, 8, 0, 14), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  left_branch(0, 2, 0, 15), 
% 0.52/0.75  right_branch(15), 
% 0.52/0.75  right_branch(13), 
% 0.52/0.75  left_branch(0, 5, 4, 14), 
% 0.52/0.75  left_branch(0, 8, 0, 15), 
% 0.52/0.75  right_branch(15), 
% 0.52/0.75  left_branch(0, 13, 3, 16), 
% 0.52/0.75  left_branch(0, 8, 0, 17), 
% 0.52/0.75  right_branch(17), 
% 0.52/0.75  left_branch(0, 0, 2, 18), 
% 0.52/0.75  left_branch(0, 8, 0, 19), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  left_branch(0, 2, 0, 20), 
% 0.52/0.75  right_branch(20), 
% 0.52/0.75  right_branch(18), 
% 0.52/0.75  left_branch(0, 2, 0, 19), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  right_branch(16), 
% 0.52/0.75  left_branch(0, 0, 2, 17), 
% 0.52/0.75  left_branch(0, 8, 0, 18), 
% 0.52/0.75  right_branch(18), 
% 0.52/0.75  left_branch(0, 2, 0, 19), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  right_branch(17), 
% 0.52/0.75  left_branch(0, 2, 0, 18), 
% 0.52/0.75  right_branch(18), 
% 0.52/0.75  right_branch(14), 
% 0.52/0.75  left_branch(0, 8, 0, 15), 
% 0.52/0.75  right_branch(15), 
% 0.52/0.75  left_branch(0, 13, 3, 16), 
% 0.52/0.75  left_branch(0, 8, 0, 17), 
% 0.52/0.75  right_branch(17), 
% 0.52/0.75  left_branch(0, 0, 2, 18), 
% 0.52/0.75  left_branch(0, 8, 0, 19), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  left_branch(0, 2, 0, 20), 
% 0.52/0.75  right_branch(20), 
% 0.52/0.75  right_branch(18), 
% 0.52/0.75  left_branch(0, 2, 0, 19), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  right_branch(16), 
% 0.52/0.75  left_branch(0, 2, 0, 17), 
% 0.52/0.75  right_branch(17), 
% 0.52/0.75  left_branch(0, 19, 5, 18), 
% 0.52/0.75  left_branch(0, 0, 2, 19), 
% 0.52/0.75  left_branch(0, 8, 0, 20), 
% 0.52/0.75  right_branch(20), 
% 0.52/0.75  left_branch(0, 2, 0, 21), 
% 0.52/0.75  right_branch(21), 
% 0.52/0.75  right_branch(19), 
% 0.52/0.75  left_branch(0, 5, 4, 20), 
% 0.52/0.75  left_branch(0, 8, 0, 21), 
% 0.52/0.75  right_branch(21), 
% 0.52/0.75  left_branch(0, 13, 3, 22), 
% 0.52/0.75  left_branch(0, 8, 0, 23), 
% 0.52/0.75  right_branch(23), 
% 0.52/0.75  left_branch(0, 0, 2, 24), 
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% 0.52/0.76  right_branch(24), 
% 0.52/0.76  left_branch(0, 0, 2, 25), 
% 0.52/0.76  left_branch(0, 8, 0, 26), 
% 0.52/0.76  right_branch(26), 
% 0.52/0.76  left_branch(0, 2, 0, 27), 
% 0.52/0.76  right_branch(27), 
% 0.52/0.76  right_branch(25), 
% 0.52/0.76  left_branch(0, 2, 0, 26), 
% 0.52/0.76  right_branch(26), 
% 0.52/0.76  right_branch(22), 
% 0.52/0.76  left_branch(0, 8, 0, 23), 
% 0.52/0.76  right_branch(23), 
% 0.52/0.76  left_branch(0, 13, 3, 24), 
% 0.52/0.76  left_branch(0, 8, 0, 25), 
% 0.52/0.76  right_branch(25), 
% 0.52/0.76  left_branch(0, 0, 2, 26), 
% 0.52/0.76  left_branch(0, 8, 0, 27), 
% 0.52/0.76  right_branch(27), 
% 0.52/0.76  left_branch(0, 2, 0, 28), 
% 0.52/0.76  right_branch(28), 
% 0.52/0.76  right_branch(26), 
% 0.52/0.76  left_branch(0, 2, 0, 27), 
% 0.52/0.76  right_branch(27), 
% 0.52/0.76  right_branch(24), 
% 0.52/0.76  left_branch(0, 2, 0, 25), 
% 0.52/0.76  right_branch(25), 
% 0.52/0.76  right_branch(20), 
% 0.52/0.76  right_branch(11), 
% 0.52/0.76  left_branch(0, 19, 5, 12), 
% 0.52/0.76  left_branch(0, 0, 2, 13), 
% 0.52/0.76  left_branch(0, 8, 0, 14), 
% 0.52/0.76  right_branch(14), 
% 0.52/0.76  left_branch(0, 2, 0, 15), 
% 0.52/0.76  right_branch(15), 
% 0.52/0.76  right_branch(13), 
% 0.52/0.76  left_branch(0, 5, 4, 14), 
% 0.52/0.76  left_branch(0, 8, 0, 15), 
% 0.52/0.76  right_branch(15), 
% 0.52/0.76  left_branch(0, 13, 3, 16), 
% 0.52/0.76  left_branch(0, 8, 0, 17), 
% 0.52/0.76  right_branch(17), 
% 0.52/0.76  left_branch(0, 0, 2, 18), 
% 0.52/0.76  left_branch(0, 8, 0, 19), 
% 0.52/0.76  right_branch(19), 
% 0.52/0.76  left_branch(0, 2, 0, 20), 
% 0.52/0.76  right_branch(20), 
% 0.52/0.76  right_branch(18), 
% 0.52/0.76  left_branch(0, 2, 0, 19), 
% 0.52/0.76  right_branch(19), 
% 0.52/0.76  right_branch(16), 
% 0.52/0.76  left_branch(0, 0, 2, 17), 
% 0.52/0.76  left_branch(0, 8, 0, 18), 
% 0.52/0.76  right_branch(18), 
% 0.52/0.76  left_branch(0, 2, 0, 19), 
% 0.52/0.76  right_branch(19), 
% 0.52/0.76  right_branch(17), 
% 0.52/0.76  left_branch(0, 2, 0, 18), 
% 0.52/0.76  right_branch(18), 
% 0.52/0.76  right_branch(14), 
% 0.52/0.76  left_branch(0, 8, 0, 15), 
% 0.52/0.76  right_branch(15), 
% 0.52/0.76  left_branch(0, 13, 3, 16), 
% 0.52/0.76  left_branch(0, 8, 0, 17), 
% 0.52/0.76  right_branch(17), 
% 0.52/0.76  left_branch(0, 0, 2, 18), 
% 0.52/0.76  left_branch(0, 8, 0, 19), 
% 0.52/0.76  right_branch(19), 
% 0.52/0.76  left_branch(0, 2, 0, 20), 
% 0.52/0.76  right_branch(20), 
% 0.52/0.76  right_branch(18), 
% 0.52/0.76  left_branch(0, 2, 0, 19), 
% 0.52/0.76  right_branch(19), 
% 0.52/0.76  right_branch(16), 
% 0.52/0.76  left_branch(0, 2, 0, 17), 
% 0.52/0.76  right_branch(17), 
% 0.52/0.76  right_branch(12)
% 0.52/0.76  )).
% 0.52/0.76  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------