TSTP Solution File: SYO664-1 by ConnectPP---0.2.2

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : ConnectPP---0.2.2
% Problem  : SYO664-1 : 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 : n029.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 : Wed Mar  6 09:29:43 EST 2024

% Result   : Unsatisfiable 0.20s 0.44s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYO664-1 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.13  % Command  : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34  % Computer : n029.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 : Sun Mar  3 18:31:35 EST 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.44  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.44  % SZS output start Proof for theBenchmark
% 0.20/0.44  
% 0.20/0.44  % Problem matrix:
% 0.20/0.44  cnf(matrix-0, plain, ( ~E(s(0), f(suc(B_45))) | ~E(s(0), f(B_45)) | ~E(s(0), f(suc(B_46))) | ~E(s(0), f(suc(B_43))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_43)) | ~E(s(0), f(B_43)) | ~iLEQ(suc(B_44), suc(B_45)) | ~E(s(0), f(B_46)) | ~E(s(0), f(B_44)) | ~iLEQ(suc(B_45), suc(B_46)) | ~iLEQ(suc(B_43), suc(B_44)) | ~E(s(0), f(suc(B_44))) )).
% 0.20/0.44  cnf(matrix-1, plain, ( ~LE(f(z), 0) )).
% 0.20/0.44  cnf(matrix-2, plain, ( ~LE(f(B_42), s(s(0))) | E(s(0), f(B_42)) | LE(f(B_42), s(0)) )).
% 0.20/0.44  cnf(matrix-3, plain, ( ~E(0, f(B_63)) | ~E(0, f(suc(B_61))) | ~E(0, f(suc(A_2))) | ~iLEQ(suc(A_2), suc(B_61)) | ~iLEQ(suc(B_61), suc(B_62)) | ~E(0, f(suc(B_63))) | ~E(0, f(A_2)) | ~iLEQ(suc(B_62), suc(B_63)) | ~E(0, f(B_64)) | ~iLEQ(suc(B_63), suc(B_64)) | ~E(0, f(suc(B_62))) | ~E(0, f(B_61)) | ~E(0, f(suc(B_64))) | ~E(0, f(B_62)) )).
% 0.20/0.44  cnf(matrix-4, plain, ( LE(f(A), s(s(0))) )).
% 0.20/0.44  cnf(matrix-5, plain, ( ~E(0, f(A_2)) | ~E(0, f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) )).
% 0.20/0.44  cnf(matrix-6, plain, ( ~LE(f(suc(B_60)), s(0)) | E(0, f(suc(B_60))) | LE(f(B_60), 0) )).
% 0.20/0.44  cnf(matrix-7, plain, ( ~LE(f(B_60), s(0)) | E(0, f(B_60)) | LE(f(B_60), 0) )).
% 0.20/0.44  cnf(matrix-8, plain, ( ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) )).
% 0.20/0.44  cnf(matrix-9, plain, ( ~LE(f(suc(B_42)), s(s(0))) | E(s(0), f(suc(B_42))) | LE(f(B_42), s(0)) )).
% 0.20/0.44  
% 0.20/0.44  % Proof stack:
% 0.20/0.44  cnf(proof-stack, plain, 
% 0.20/0.44  proof_stack(
% 0.20/0.44  start(3), 
% 0.20/0.44  left_branch(0, 7, 1, 2), 
% 0.20/0.44  left_branch(0, 9, 2, 3), 
% 0.20/0.44  left_branch(0, 4, 0, 4), 
% 0.20/0.44  right_branch(4), 
% 0.20/0.44  left_branch(0, 8, 1, 5), 
% 0.20/0.44  left_branch(0, 2, 1, 6), 
% 0.20/0.44  left_branch(0, 4, 0, 7), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  reduction(0, 1), 
% 0.20/0.44  right_branch(6), 
% 0.20/0.44  left_branch(0, 0, 12, 7), 
% 0.20/0.44  reduction(0, 2), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 1), 
% 0.20/0.44  lemmata(0, 1), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 1), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 1), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 1), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  right_branch(5), 
% 0.20/0.44  right_branch(3), 
% 0.20/0.44  left_branch(0, 1, 0, 4), 
% 0.20/0.44  right_branch(4), 
% 0.20/0.44  right_branch(2), 
% 0.20/0.44  left_branch(0, 7, 1, 3), 
% 0.20/0.44  left_branch(0, 9, 2, 4), 
% 0.20/0.44  left_branch(0, 4, 0, 5), 
% 0.20/0.44  right_branch(5), 
% 0.20/0.44  left_branch(0, 8, 1, 6), 
% 0.20/0.44  left_branch(0, 2, 1, 7), 
% 0.20/0.44  left_branch(0, 4, 0, 8), 
% 0.20/0.44  right_branch(8), 
% 0.20/0.44  reduction(0, 1), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  left_branch(0, 0, 12, 8), 
% 0.20/0.44  reduction(0, 2), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  right_branch(8), 
% 0.20/0.44  right_branch(6), 
% 0.20/0.44  right_branch(4), 
% 0.20/0.44  left_branch(0, 1, 0, 5), 
% 0.20/0.44  right_branch(5), 
% 0.20/0.44  right_branch(3), 
% 0.20/0.44  left_branch(0, 6, 1, 4), 
% 0.20/0.44  left_branch(0, 9, 2, 5), 
% 0.20/0.44  left_branch(0, 4, 0, 6), 
% 0.20/0.44  right_branch(6), 
% 0.20/0.44  left_branch(0, 8, 1, 7), 
% 0.20/0.44  left_branch(0, 2, 1, 8), 
% 0.20/0.44  left_branch(0, 4, 0, 9), 
% 0.20/0.44  right_branch(9), 
% 0.20/0.44  reduction(0, 1), 
% 0.20/0.44  right_branch(8), 
% 0.20/0.44  left_branch(0, 0, 12, 9), 
% 0.20/0.44  reduction(0, 2), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 5), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 3), 
% 0.20/0.44  right_branch(9), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  right_branch(5), 
% 0.20/0.44  left_branch(0, 1, 0, 6), 
% 0.20/0.44  right_branch(6), 
% 0.20/0.44  right_branch(4), 
% 0.20/0.44  left_branch(0, 7, 1, 5), 
% 0.20/0.44  left_branch(0, 9, 2, 6), 
% 0.20/0.44  left_branch(0, 4, 0, 7), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  left_branch(0, 8, 1, 8), 
% 0.20/0.44  left_branch(0, 2, 1, 9), 
% 0.20/0.44  left_branch(0, 4, 0, 10), 
% 0.20/0.44  right_branch(10), 
% 0.20/0.44  reduction(0, 1), 
% 0.20/0.44  right_branch(9), 
% 0.20/0.44  left_branch(0, 0, 12, 10), 
% 0.20/0.44  reduction(0, 2), 
% 0.20/0.44  lemmata(0, 5), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 5), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 5), 
% 0.20/0.44  lemmata(0, 5), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  right_branch(10), 
% 0.20/0.44  right_branch(8), 
% 0.20/0.44  right_branch(6), 
% 0.20/0.44  left_branch(0, 1, 0, 7), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  right_branch(5), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  left_branch(0, 8, 2, 7), 
% 0.20/0.44  left_branch(0, 2, 1, 8), 
% 0.20/0.44  left_branch(0, 4, 0, 9), 
% 0.20/0.44  right_branch(9), 
% 0.20/0.44  left_branch(0, 7, 0, 10), 
% 0.20/0.44  left_branch(0, 1, 0, 11), 
% 0.20/0.44  right_branch(11), 
% 0.20/0.44  left_branch(0, 5, 0, 12), 
% 0.20/0.44  reduction(0, 0), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  right_branch(12), 
% 0.20/0.44  right_branch(10), 
% 0.20/0.44  right_branch(8), 
% 0.20/0.44  left_branch(0, 9, 1, 9), 
% 0.20/0.44  left_branch(0, 4, 0, 10), 
% 0.20/0.44  right_branch(10), 
% 0.20/0.44  left_branch(0, 7, 0, 11), 
% 0.20/0.44  left_branch(0, 1, 0, 12), 
% 0.20/0.44  right_branch(12), 
% 0.20/0.44  left_branch(0, 5, 0, 13), 
% 0.20/0.44  reduction(0, 0), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  right_branch(13), 
% 0.20/0.44  right_branch(11), 
% 0.20/0.44  right_branch(9), 
% 0.20/0.44  right_branch(7), 
% 0.20/0.44  lemmata(0, 0), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  left_branch(0, 7, 1, 10), 
% 0.20/0.44  left_branch(0, 9, 2, 11), 
% 0.20/0.44  left_branch(0, 4, 0, 12), 
% 0.20/0.44  right_branch(12), 
% 0.20/0.44  left_branch(0, 8, 1, 13), 
% 0.20/0.44  left_branch(0, 2, 1, 14), 
% 0.20/0.44  left_branch(0, 4, 0, 15), 
% 0.20/0.44  right_branch(15), 
% 0.20/0.44  reduction(0, 1), 
% 0.20/0.44  right_branch(14), 
% 0.20/0.44  left_branch(0, 0, 12, 15), 
% 0.20/0.44  reduction(0, 2), 
% 0.20/0.44  lemmata(0, 7), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  lemmata(0, 8), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  reduction(0, 3), 
% 0.20/0.44  lemmata(0, 7), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  lemmata(0, 7), 
% 0.20/0.44  lemmata(0, 7), 
% 0.20/0.44  lemmata(0, 6), 
% 0.20/0.44  right_branch(15), 
% 0.20/0.44  right_branch(13), 
% 0.20/0.44  right_branch(11), 
% 0.20/0.44  left_branch(0, 1, 0, 12), 
% 0.20/0.44  right_branch(12), 
% 0.20/0.44  right_branch(10), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 4), 
% 0.20/0.44  lemmata(0, 2), 
% 0.20/0.44  lemmata(0, 2)
% 0.20/0.44  )).
% 0.20/0.44  % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------