TSTP Solution File: SYO680-1 by ConnectPP---0.3.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ConnectPP---0.3.0
% Problem  : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s

% Computer : n019.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 14:45:07 EDT 2024

% Result   : Unsatisfiable 127.43s 127.63s
% Output   : Proof 127.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYO680-1 : TPTP v8.1.2. Released v7.3.0.
% 0.03/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34  % Computer : n019.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Mar 20 21:04:03 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 127.43/127.63  % SZS status Unsatisfiable for theBenchmark
% 127.43/127.63  % SZS output start Proof for theBenchmark
% 127.43/127.63  
% 127.43/127.63  % Problem matrix:
% 127.43/127.63  cnf(matrix-0, plain, ( ~E(0, f(A_4)) | ~E(0, f(suc(A_4))) | iLEQ(suc(A_4), suc(A_4)) )).
% 127.43/127.63  cnf(matrix-1, plain, ( LE(f(A), s(s(s(s(0))))) )).
% 127.43/127.63  cnf(matrix-2, plain, ( ~E(s(0), f(A_3)) | ~E(s(0), f(suc(A_3))) | iLEQ(suc(A_3), suc(A_3)) )).
% 127.43/127.63  cnf(matrix-3, plain, ( ~LE(f(suc(B_60)), s(0)) | E(0, f(suc(B_60))) | LE(f(B_60), 0) )).
% 127.43/127.63  cnf(matrix-4, plain, ( ~E(s(s(0)), f(A_2)) | ~E(s(s(0)), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) )).
% 127.43/127.63  cnf(matrix-5, plain, ( ~E(s(s(0)), f(suc(B_42))) | ~E(s(s(0)), f(B_42)) | ~iLEQ(suc(B_42), suc(B_43)) | ~E(s(s(0)), f(suc(A_2))) | ~E(s(s(0)), f(suc(B_43))) | ~iLEQ(suc(A_2), suc(B_42)) | ~E(s(s(0)), f(B_43)) | ~E(s(s(0)), f(A_2)) )).
% 127.43/127.63  cnf(matrix-6, plain, ( ~iLEQ(suc(B_24), suc(B_25)) | ~E(s(s(s(0))), f(B_25)) | ~E(s(s(s(0))), f(B_24)) | ~iLEQ(suc(A_1), suc(B_24)) | ~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(B_24))) | ~E(s(s(s(0))), f(suc(B_25))) | ~E(s(s(s(0))), f(suc(A_1))) )).
% 127.43/127.63  cnf(matrix-7, plain, ( ~LE(f(B_53), s(s(0))) | E(s(0), f(B_53)) | LE(f(B_53), s(0)) )).
% 127.43/127.63  cnf(matrix-8, plain, ( ~LE(f(z), 0) )).
% 127.43/127.63  cnf(matrix-9, plain, ( ~LE(f(suc(B_41)), s(s(s(0)))) | E(s(s(0)), f(suc(B_41))) | LE(f(B_41), s(s(0))) )).
% 127.43/127.63  cnf(matrix-10, plain, ( ~E(0, f(suc(B_61))) | ~iLEQ(suc(B_61), suc(B_62)) | ~iLEQ(suc(A_4), suc(B_61)) | ~E(0, f(suc(B_62))) | ~E(0, f(B_61)) | ~E(0, f(suc(A_4))) | ~E(0, f(B_62)) | ~E(0, f(A_4)) )).
% 127.43/127.63  cnf(matrix-11, plain, ( ~LE(f(B_23), s(s(s(s(0))))) | E(s(s(s(0))), f(B_23)) | LE(f(B_23), s(s(s(0)))) )).
% 127.43/127.63  cnf(matrix-12, plain, ( ~LE(f(B_41), s(s(s(0)))) | E(s(s(0)), f(B_41)) | LE(f(B_41), s(s(0))) )).
% 127.43/127.63  cnf(matrix-13, plain, ( ~iLEQ(suc(B_54), suc(B_55)) | ~E(s(0), f(suc(A_3))) | ~iLEQ(suc(A_3), suc(B_54)) | ~E(s(0), f(suc(B_55))) | ~E(s(0), f(A_3)) | ~E(s(0), f(B_55)) | ~E(s(0), f(suc(B_54))) | ~E(s(0), f(B_54)) )).
% 127.43/127.63  cnf(matrix-14, plain, ( ~LE(f(suc(B_23)), s(s(s(s(0))))) | E(s(s(s(0))), f(suc(B_23))) | LE(f(B_23), s(s(s(0)))) )).
% 127.43/127.63  cnf(matrix-15, plain, ( ~E(s(s(s(0))), f(A_1)) | ~E(s(s(s(0))), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) )).
% 127.43/127.63  cnf(matrix-16, plain, ( ~LE(f(B_60), s(0)) | E(0, f(B_60)) | LE(f(B_60), 0) )).
% 127.43/127.63  cnf(matrix-17, plain, ( ~LE(f(suc(B_53)), s(s(0))) | E(s(0), f(suc(B_53))) | LE(f(B_53), s(0)) )).
% 127.43/127.63  
% 127.43/127.63  % Proof stack:
% 127.43/127.63  cnf(proof-stack, plain, 
% 127.43/127.63  proof_stack(
% 127.43/127.63  start(8), 
% 127.43/127.63  left_branch(0, 3, 2, 2), 
% 127.43/127.63  left_branch(0, 17, 2, 3), 
% 127.43/127.63  left_branch(0, 12, 2, 4), 
% 127.43/127.63  left_branch(0, 14, 2, 5), 
% 127.43/127.63  left_branch(0, 1, 0, 6), 
% 127.43/127.63  right_branch(6), 
% 127.43/127.63  left_branch(0, 15, 1, 7), 
% 127.43/127.63  left_branch(0, 11, 1, 8), 
% 127.43/127.63  left_branch(0, 1, 0, 9), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  right_branch(8), 
% 127.43/127.63  left_branch(0, 6, 3, 9), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  right_branch(7), 
% 127.43/127.63  right_branch(5), 
% 127.43/127.63  left_branch(0, 5, 1, 6), 
% 127.43/127.63  left_branch(0, 9, 1, 7), 
% 127.43/127.63  left_branch(0, 14, 2, 8), 
% 127.43/127.63  left_branch(0, 1, 0, 9), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  left_branch(0, 15, 1, 10), 
% 127.43/127.63  left_branch(0, 11, 1, 11), 
% 127.43/127.63  left_branch(0, 1, 0, 12), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  left_branch(0, 6, 3, 12), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  reduction(0, 6), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  right_branch(8), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  right_branch(7), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  left_branch(0, 4, 2, 9), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  right_branch(6), 
% 127.43/127.63  right_branch(4), 
% 127.43/127.63  left_branch(0, 2, 1, 5), 
% 127.43/127.63  left_branch(0, 7, 1, 6), 
% 127.43/127.63  left_branch(0, 12, 2, 7), 
% 127.43/127.63  left_branch(0, 14, 2, 8), 
% 127.43/127.63  left_branch(0, 1, 0, 9), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  left_branch(0, 15, 1, 10), 
% 127.43/127.63  left_branch(0, 11, 1, 11), 
% 127.43/127.63  left_branch(0, 1, 0, 12), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  left_branch(0, 6, 3, 12), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  reduction(0, 6), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  right_branch(8), 
% 127.43/127.63  left_branch(0, 5, 1, 9), 
% 127.43/127.63  left_branch(0, 9, 1, 10), 
% 127.43/127.63  left_branch(0, 14, 2, 11), 
% 127.43/127.63  left_branch(0, 1, 0, 12), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  left_branch(0, 15, 1, 13), 
% 127.43/127.63  left_branch(0, 11, 1, 14), 
% 127.43/127.63  left_branch(0, 1, 0, 15), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  left_branch(0, 6, 3, 15), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  left_branch(0, 4, 2, 12), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  right_branch(7), 
% 127.43/127.63  reduction(0, 1), 
% 127.43/127.63  right_branch(6), 
% 127.43/127.63  left_branch(0, 13, 2, 7), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  right_branch(7), 
% 127.43/127.63  right_branch(5), 
% 127.43/127.63  right_branch(3), 
% 127.43/127.63  left_branch(0, 10, 3, 4), 
% 127.43/127.63  reduction(0, 1), 
% 127.43/127.63  left_branch(0, 16, 1, 6), 
% 127.43/127.63  left_branch(0, 17, 2, 7), 
% 127.43/127.63  left_branch(0, 12, 2, 8), 
% 127.43/127.63  left_branch(0, 14, 2, 9), 
% 127.43/127.63  left_branch(0, 1, 0, 10), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  left_branch(0, 15, 1, 11), 
% 127.43/127.63  left_branch(0, 11, 1, 12), 
% 127.43/127.63  left_branch(0, 1, 0, 13), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  left_branch(0, 6, 3, 13), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  reduction(0, 6), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  left_branch(0, 5, 1, 10), 
% 127.43/127.63  left_branch(0, 9, 1, 11), 
% 127.43/127.63  left_branch(0, 14, 2, 12), 
% 127.43/127.63  left_branch(0, 1, 0, 13), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  left_branch(0, 15, 1, 14), 
% 127.43/127.63  left_branch(0, 11, 1, 15), 
% 127.43/127.63  left_branch(0, 1, 0, 16), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  left_branch(0, 6, 3, 16), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  left_branch(0, 4, 2, 13), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  right_branch(8), 
% 127.43/127.63  left_branch(0, 13, 1, 9), 
% 127.43/127.63  left_branch(0, 4, 2, 10), 
% 127.43/127.63  left_branch(0, 12, 1, 11), 
% 127.43/127.63  left_branch(0, 14, 2, 12), 
% 127.43/127.63  left_branch(0, 1, 0, 13), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  left_branch(0, 15, 1, 14), 
% 127.43/127.63  left_branch(0, 11, 1, 15), 
% 127.43/127.63  left_branch(0, 1, 0, 16), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  left_branch(0, 7, 0, 13), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  left_branch(0, 2, 0, 15), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  left_branch(0, 9, 1, 12), 
% 127.43/127.63  left_branch(0, 14, 2, 13), 
% 127.43/127.63  left_branch(0, 1, 0, 14), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  left_branch(0, 15, 1, 15), 
% 127.43/127.63  left_branch(0, 11, 1, 16), 
% 127.43/127.63  left_branch(0, 1, 0, 17), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  left_branch(0, 6, 3, 17), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  left_branch(0, 7, 0, 14), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  left_branch(0, 2, 0, 16), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  left_branch(0, 7, 1, 12), 
% 127.43/127.63  left_branch(0, 12, 2, 13), 
% 127.43/127.63  left_branch(0, 14, 2, 14), 
% 127.43/127.63  left_branch(0, 1, 0, 15), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  left_branch(0, 15, 1, 16), 
% 127.43/127.63  left_branch(0, 11, 1, 17), 
% 127.43/127.63  left_branch(0, 1, 0, 18), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  left_branch(0, 6, 3, 18), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 8), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 8), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  left_branch(0, 5, 7, 15), 
% 127.43/127.63  left_branch(0, 9, 1, 16), 
% 127.43/127.63  left_branch(0, 14, 2, 17), 
% 127.43/127.63  left_branch(0, 1, 0, 18), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  left_branch(0, 15, 1, 19), 
% 127.43/127.63  left_branch(0, 11, 1, 20), 
% 127.43/127.63  left_branch(0, 1, 0, 21), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  right_branch(20), 
% 127.43/127.63  left_branch(0, 6, 3, 21), 
% 127.43/127.63  reduction(0, 11), 
% 127.43/127.63  reduction(0, 10), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  right_branch(19), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  reduction(0, 6), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  reduction(0, 3), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  lemmata(0, 3), 
% 127.43/127.63  lemmata(0, 5), 
% 127.43/127.63  right_branch(9), 
% 127.43/127.63  right_branch(7), 
% 127.43/127.63  reduction(0, 0), 
% 127.43/127.63  right_branch(6), 
% 127.43/127.63  reduction(0, 1), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  lemmata(0, 2), 
% 127.43/127.63  left_branch(0, 2, 2, 10), 
% 127.43/127.63  left_branch(0, 7, 1, 11), 
% 127.43/127.63  left_branch(0, 12, 2, 12), 
% 127.43/127.63  left_branch(0, 14, 2, 13), 
% 127.43/127.63  left_branch(0, 1, 0, 14), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  left_branch(0, 15, 1, 15), 
% 127.43/127.63  left_branch(0, 11, 1, 16), 
% 127.43/127.63  left_branch(0, 1, 0, 17), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  left_branch(0, 4, 0, 14), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  left_branch(0, 9, 1, 16), 
% 127.43/127.63  left_branch(0, 14, 2, 17), 
% 127.43/127.63  left_branch(0, 1, 0, 18), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  left_branch(0, 15, 1, 19), 
% 127.43/127.63  left_branch(0, 11, 1, 20), 
% 127.43/127.63  left_branch(0, 1, 0, 21), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(20), 
% 127.43/127.63  left_branch(0, 6, 3, 21), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  right_branch(19), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  left_branch(0, 16, 0, 13), 
% 127.43/127.63  reduction(0, 0), 
% 127.43/127.63  left_branch(0, 0, 0, 15), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  right_branch(11), 
% 127.43/127.63  left_branch(0, 17, 1, 12), 
% 127.43/127.63  left_branch(0, 12, 2, 13), 
% 127.43/127.63  left_branch(0, 14, 2, 14), 
% 127.43/127.63  left_branch(0, 1, 0, 15), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  left_branch(0, 15, 1, 16), 
% 127.43/127.63  left_branch(0, 11, 1, 17), 
% 127.43/127.63  left_branch(0, 1, 0, 18), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  left_branch(0, 6, 3, 18), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  reduction(0, 6), 
% 127.43/127.63  lemmata(0, 8), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 8), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  left_branch(0, 5, 1, 15), 
% 127.43/127.63  left_branch(0, 9, 1, 16), 
% 127.43/127.63  left_branch(0, 14, 2, 17), 
% 127.43/127.63  left_branch(0, 1, 0, 18), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  left_branch(0, 15, 1, 19), 
% 127.43/127.63  left_branch(0, 11, 1, 20), 
% 127.43/127.63  left_branch(0, 1, 0, 21), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  reduction(0, 7), 
% 127.43/127.63  right_branch(20), 
% 127.43/127.63  left_branch(0, 6, 3, 21), 
% 127.43/127.63  reduction(0, 9), 
% 127.43/127.63  reduction(0, 8), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 9), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  right_branch(21), 
% 127.43/127.63  right_branch(19), 
% 127.43/127.63  right_branch(17), 
% 127.43/127.63  reduction(0, 4), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  reduction(0, 5), 
% 127.43/127.63  left_branch(0, 4, 2, 18), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  right_branch(18), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 6), 
% 127.43/127.63  lemmata(0, 8), 
% 127.43/127.63  lemmata(0, 7), 
% 127.43/127.63  right_branch(15), 
% 127.43/127.63  right_branch(13), 
% 127.43/127.63  left_branch(0, 16, 0, 14), 
% 127.43/127.63  reduction(0, 0), 
% 127.43/127.63  left_branch(0, 0, 0, 16), 
% 127.43/127.63  reduction(0, 2), 
% 127.43/127.63  lemmata(0, 1), 
% 127.43/127.63  right_branch(16), 
% 127.43/127.63  right_branch(14), 
% 127.43/127.63  right_branch(12), 
% 127.43/127.63  right_branch(10), 
% 127.43/127.63  lemmata(0, 4), 
% 127.43/127.63  right_branch(4), 
% 127.43/127.63  right_branch(2)
% 127.43/127.63  )).
% 127.43/127.63  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------