TSTP Solution File: SYO666-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYO666-1 : 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 : n002.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 14:45:06 EDT 2024
% Result : Unsatisfiable 5.56s 5.74s
% Output : Proof 5.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYO666-1 : TPTP v8.1.2. Released v7.3.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n002.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 21:26:08 EDT 2024
% 0.12/0.34 % CPUTime :
% 5.56/5.74 % SZS status Unsatisfiable for theBenchmark
% 5.56/5.74 % SZS output start Proof for theBenchmark
% 5.56/5.74
% 5.56/5.74 % Problem matrix:
% 5.56/5.74 cnf(matrix-0, plain, ( ~iLEQ(suc(B_96), suc(B_97)) | ~E(0, f(suc(A_2))) | ~E(0, f(suc(B_96))) | ~iLEQ(suc(B_97), suc(B_98)) | ~E(0, f(suc(B_97))) | ~E(0, f(A_2)) | ~E(0, f(suc(B_94))) | ~E(0, f(B_97)) | ~iLEQ(suc(B_95), suc(B_96)) | ~E(0, f(B_96)) | ~iLEQ(suc(B_94), suc(B_95)) | ~E(0, f(suc(B_98))) | ~E(0, f(B_94)) | ~iLEQ(suc(A_2), suc(B_94)) | ~E(0, f(suc(B_95))) | ~E(0, f(B_98)) | ~E(0, f(B_95)) )).
% 5.56/5.74 cnf(matrix-1, plain, ( ~E(0, f(A_2)) | ~E(0, f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) )).
% 5.56/5.74 cnf(matrix-2, plain, ( ~LE(f(z), 0) )).
% 5.56/5.74 cnf(matrix-3, plain, ( ~LE(f(suc(B_93)), s(0)) | E(0, f(suc(B_93))) | LE(f(B_93), 0) )).
% 5.56/5.74 cnf(matrix-4, plain, ( ~LE(f(B_93), s(0)) | E(0, f(B_93)) | LE(f(B_93), 0) )).
% 5.56/5.74 cnf(matrix-5, plain, ( LE(f(A), s(s(0))) )).
% 5.56/5.74 cnf(matrix-6, plain, ( ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) )).
% 5.56/5.74 cnf(matrix-7, plain, ( ~LE(f(suc(B_68)), s(s(0))) | E(s(0), f(suc(B_68))) | LE(f(B_68), s(0)) )).
% 5.56/5.74 cnf(matrix-8, plain, ( ~LE(f(B_68), s(s(0))) | E(s(0), f(B_68)) | LE(f(B_68), s(0)) )).
% 5.56/5.74 cnf(matrix-9, plain, ( ~E(s(0), f(B_69)) | ~iLEQ(suc(B_71), suc(B_72)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | ~iLEQ(suc(B_70), suc(B_71)) | ~E(s(0), f(B_71)) | ~E(s(0), f(suc(B_71))) | ~iLEQ(suc(B_69), suc(B_70)) | ~E(s(0), f(suc(B_69))) | ~iLEQ(suc(B_72), suc(B_73)) | ~E(s(0), f(suc(B_70))) | ~E(s(0), f(B_73)) | ~E(s(0), f(suc(B_72))) | ~iLEQ(suc(A_1), suc(B_69)) | ~E(s(0), f(B_70)) | ~E(s(0), f(B_72)) | ~E(s(0), f(suc(B_73))) )).
% 5.56/5.74
% 5.56/5.74 % Proof stack:
% 5.56/5.74 cnf(proof-stack, plain,
% 5.56/5.74 proof_stack(
% 5.56/5.74 start(0),
% 5.56/5.74 left_branch(0, 1, 2, 2),
% 5.56/5.74 left_branch(0, 4, 1, 3),
% 5.56/5.74 left_branch(0, 8, 2, 4),
% 5.56/5.74 left_branch(0, 5, 0, 5),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 left_branch(0, 6, 0, 6),
% 5.56/5.74 reduction(0, 0),
% 5.56/5.74 left_branch(0, 7, 1, 8),
% 5.56/5.74 left_branch(0, 5, 0, 9),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 right_branch(8),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 right_branch(4),
% 5.56/5.74 left_branch(0, 2, 0, 5),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 right_branch(3),
% 5.56/5.74 left_branch(0, 3, 1, 4),
% 5.56/5.74 left_branch(0, 8, 2, 5),
% 5.56/5.74 left_branch(0, 5, 0, 6),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 left_branch(0, 9, 15, 7),
% 5.56/5.74 reduction(0, 3),
% 5.56/5.74 left_branch(0, 7, 1, 9),
% 5.56/5.74 left_branch(0, 5, 0, 10),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 reduction(0, 3),
% 5.56/5.74 left_branch(0, 6, 2, 11),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 right_branch(11),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 left_branch(0, 7, 1, 18),
% 5.56/5.74 left_branch(0, 5, 0, 19),
% 5.56/5.74 right_branch(19),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 right_branch(18),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 right_branch(7),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 left_branch(0, 2, 0, 6),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 right_branch(4),
% 5.56/5.74 right_branch(2),
% 5.56/5.74 left_branch(0, 4, 1, 3),
% 5.56/5.74 left_branch(0, 8, 2, 4),
% 5.56/5.74 left_branch(0, 5, 0, 5),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 left_branch(0, 9, 15, 6),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 7, 1, 8),
% 5.56/5.74 left_branch(0, 5, 0, 9),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(8),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 6, 2, 10),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 left_branch(0, 7, 1, 17),
% 5.56/5.74 left_branch(0, 5, 0, 18),
% 5.56/5.74 right_branch(18),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(17),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 2),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 right_branch(4),
% 5.56/5.74 left_branch(0, 2, 0, 5),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 right_branch(3),
% 5.56/5.74 left_branch(0, 4, 1, 4),
% 5.56/5.74 left_branch(0, 8, 2, 5),
% 5.56/5.74 left_branch(0, 5, 0, 6),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 left_branch(0, 9, 15, 7),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 7, 1, 9),
% 5.56/5.74 left_branch(0, 5, 0, 10),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 6, 2, 11),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 right_branch(11),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 6),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 6),
% 5.56/5.74 left_branch(0, 7, 1, 18),
% 5.56/5.74 left_branch(0, 5, 0, 19),
% 5.56/5.74 right_branch(19),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(18),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 6),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 6),
% 5.56/5.74 right_branch(7),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 left_branch(0, 2, 0, 6),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 right_branch(4),
% 5.56/5.74 left_branch(0, 3, 1, 5),
% 5.56/5.74 left_branch(0, 8, 2, 6),
% 5.56/5.74 left_branch(0, 5, 0, 7),
% 5.56/5.74 right_branch(7),
% 5.56/5.74 left_branch(0, 9, 15, 8),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 7, 1, 10),
% 5.56/5.74 left_branch(0, 5, 0, 11),
% 5.56/5.74 right_branch(11),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 reduction(0, 2),
% 5.56/5.74 left_branch(0, 6, 2, 12),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 right_branch(12),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 7),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 7),
% 5.56/5.74 left_branch(0, 7, 1, 19),
% 5.56/5.74 left_branch(0, 5, 0, 20),
% 5.56/5.74 right_branch(20),
% 5.56/5.74 reduction(0, 1),
% 5.56/5.74 right_branch(19),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 7),
% 5.56/5.74 lemmata(0, 5),
% 5.56/5.74 lemmata(0, 4),
% 5.56/5.74 lemmata(0, 7),
% 5.56/5.74 right_branch(8),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 left_branch(0, 2, 0, 7),
% 5.56/5.74 right_branch(7),
% 5.56/5.74 right_branch(5),
% 5.56/5.74 left_branch(0, 6, 2, 6),
% 5.56/5.74 left_branch(0, 8, 1, 7),
% 5.56/5.74 left_branch(0, 5, 0, 8),
% 5.56/5.74 right_branch(8),
% 5.56/5.74 left_branch(0, 4, 0, 9),
% 5.56/5.74 left_branch(0, 2, 0, 10),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 left_branch(0, 1, 0, 11),
% 5.56/5.74 reduction(0, 0),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 right_branch(11),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 right_branch(7),
% 5.56/5.74 left_branch(0, 8, 1, 8),
% 5.56/5.74 left_branch(0, 5, 0, 9),
% 5.56/5.74 right_branch(9),
% 5.56/5.74 left_branch(0, 3, 0, 10),
% 5.56/5.74 left_branch(0, 2, 0, 11),
% 5.56/5.74 right_branch(11),
% 5.56/5.74 left_branch(0, 1, 1, 12),
% 5.56/5.74 lemmata(0, 1),
% 5.56/5.74 reduction(0, 0),
% 5.56/5.74 right_branch(12),
% 5.56/5.74 right_branch(10),
% 5.56/5.74 right_branch(8),
% 5.56/5.74 right_branch(6),
% 5.56/5.74 lemmata(0, 1),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 0),
% 5.56/5.74 lemmata(0, 1),
% 5.56/5.74 lemmata(0, 0),
% 5.56/5.74 lemmata(0, 1),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 1),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 0),
% 5.56/5.74 lemmata(0, 3),
% 5.56/5.74 lemmata(0, 3)
% 5.56/5.74 )).
% 5.56/5.74 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------