TSTP Solution File: SYO657-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYO657-1 : 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 : n017.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 14:45:05 EDT 2024
% Result : Unsatisfiable 42.93s 43.18s
% Output : Proof 42.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO657-1 : TPTP v8.1.2. Released v7.3.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n017.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 20:39:42 EDT 2024
% 0.12/0.33 % CPUTime :
% 42.93/43.18 % SZS status Unsatisfiable for theBenchmark
% 42.93/43.18 % SZS output start Proof for theBenchmark
% 42.93/43.18
% 42.93/43.18 % Problem matrix:
% 42.93/43.18 cnf(matrix-0, plain, ( ~E(0, f(suc(A_2))) | ~E(0, f(A_2)) | ~iLEQ(suc(A_2), suc(B_6)) | ~E(0, f(B_6)) | ~E(0, f(suc(B_6))) | E(f(A_2), f(suc(A_2))) | E(f(B_6), f(suc(B_6))) )).
% 42.93/43.18 cnf(matrix-1, plain, ( ~LE(f(suc(suc(B_2))), s(s(0))) | E(s(0), f(suc(suc(B_2)))) | LE(f(B_2), s(0)) )).
% 42.93/43.18 cnf(matrix-2, plain, ( LE(f(A), s(s(0))) )).
% 42.93/43.18 cnf(matrix-3, plain, ( ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | E(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) )).
% 42.93/43.18 cnf(matrix-4, plain, ( ~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(B_3))) | ~E(s(0), f(B_3)) | ~E(f(A_1), f(suc(A_1))) | E(f(B_3), f(suc(B_3))) )).
% 42.93/43.18 cnf(matrix-5, plain, ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(B_6)))) | ~E(0, f(A_2)) | ~iLEQ(suc(A_2), suc(B_6)) | ~E(0, f(B_6)) | ~E(f(B_6), f(suc(B_6))) | ~E(0, f(suc(B_6))) | E(f(A_2), f(suc(A_2))) )).
% 42.93/43.18 cnf(matrix-6, plain, ( ~LE(f(B_2), s(s(0))) | E(s(0), f(B_2)) | LE(f(B_2), s(0)) )).
% 42.93/43.18 cnf(matrix-7, plain, ( ~LE(f(B_5), s(0)) | E(0, f(B_5)) | LE(f(B_5), 0) )).
% 42.93/43.18 cnf(matrix-8, plain, ( ~E(0, f(suc(suc(A_2)))) | ~E(0, f(suc(A_2))) | ~E(f(A_2), f(suc(A_2))) | ~E(0, f(A_2)) | iLEQ(suc(A_2), suc(A_2)) )).
% 42.93/43.18 cnf(matrix-9, plain, ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(A_2)) | ~iLEQ(suc(A_2), suc(B_6)) | ~E(0, f(B_6)) | ~E(f(A_2), f(suc(A_2))) | ~E(0, f(suc(B_6))) | E(f(B_6), f(suc(B_6))) )).
% 42.93/43.18 cnf(matrix-10, plain, ( ~E(0, f(A_2)) | ~E(0, f(suc(A_2))) | E(f(A_2), f(suc(A_2))) | iLEQ(suc(A_2), suc(A_2)) )).
% 42.93/43.18 cnf(matrix-11, plain, ( ~E(0, f(suc(A_2))) | ~E(0, f(suc(suc(B_6)))) | ~E(0, f(suc(suc(A_2)))) | ~E(0, f(A_2)) | ~iLEQ(suc(A_2), suc(B_6)) | ~E(0, f(B_6)) | ~E(f(A_2), f(suc(A_2))) | ~E(f(B_6), f(suc(B_6))) | ~E(0, f(suc(B_6))) )).
% 42.93/43.18 cnf(matrix-12, plain, ( ~LE(f(suc(B_5)), s(0)) | E(0, f(suc(B_5))) | LE(f(B_5), 0) )).
% 42.93/43.18 cnf(matrix-13, plain, ( ~LE(f(suc(suc(B_5))), s(0)) | E(0, f(suc(suc(B_5)))) | LE(f(B_5), 0) )).
% 42.93/43.18 cnf(matrix-14, plain, ( ~LE(f(z), 0) )).
% 42.93/43.18 cnf(matrix-15, plain, ( ~LE(f(suc(B_2)), s(s(0))) | E(s(0), f(suc(B_2))) | LE(f(B_2), s(0)) )).
% 42.93/43.18 cnf(matrix-16, plain, ( ~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(B_3))) | ~E(s(0), f(B_3)) | E(f(A_1), f(suc(A_1))) | E(f(B_3), f(suc(B_3))) )).
% 42.93/43.18 cnf(matrix-17, plain, ( ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(suc(A_1))) | ~E(f(A_1), f(suc(A_1))) | ~E(s(0), f(A_1)) | iLEQ(suc(A_1), suc(A_1)) )).
% 42.93/43.18 cnf(matrix-18, plain, ( ~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(suc(B_3)))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(B_3))) | ~E(s(0), f(B_3)) | ~E(f(B_3), f(suc(B_3))) | E(f(A_1), f(suc(A_1))) )).
% 42.93/43.18 cnf(matrix-19, plain, ( ~iLEQ(suc(A_1), suc(B_3)) | ~E(s(0), f(suc(suc(A_1)))) | ~E(s(0), f(A_1)) | ~E(s(0), f(suc(suc(B_3)))) | ~E(s(0), f(suc(A_1))) | ~E(s(0), f(suc(B_3))) | ~E(s(0), f(B_3)) | ~E(f(B_3), f(suc(B_3))) | ~E(f(A_1), f(suc(A_1))) )).
% 42.93/43.18
% 42.93/43.18 % Proof stack:
% 42.93/43.18 cnf(proof-stack, plain,
% 42.93/43.18 proof_stack(
% 42.93/43.18 start(14),
% 42.93/43.18 left_branch(0, 12, 2, 2),
% 42.93/43.18 left_branch(0, 15, 2, 3),
% 42.93/43.18 left_branch(0, 2, 0, 4),
% 42.93/43.18 right_branch(4),
% 42.93/43.18 left_branch(0, 19, 5, 5),
% 42.93/43.18 left_branch(0, 17, 4, 6),
% 42.93/43.18 left_branch(0, 1, 1, 7),
% 42.93/43.18 left_branch(0, 2, 0, 8),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(7),
% 42.93/43.18 left_branch(0, 6, 1, 8),
% 42.93/43.18 left_branch(0, 2, 0, 9),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 left_branch(0, 16, 6, 9),
% 42.93/43.18 left_branch(0, 3, 3, 10),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 right_branch(6),
% 42.93/43.18 left_branch(0, 16, 6, 7),
% 42.93/43.18 left_branch(0, 3, 3, 8),
% 42.93/43.18 left_branch(0, 6, 1, 9),
% 42.93/43.18 left_branch(0, 2, 0, 10),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 left_branch(0, 6, 1, 10),
% 42.93/43.18 left_branch(0, 2, 0, 11),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 right_branch(7),
% 42.93/43.18 left_branch(0, 6, 1, 8),
% 42.93/43.18 left_branch(0, 2, 0, 9),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 left_branch(0, 1, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 right_branch(5),
% 42.93/43.18 right_branch(3),
% 42.93/43.18 left_branch(0, 8, 1, 4),
% 42.93/43.18 left_branch(0, 13, 1, 5),
% 42.93/43.18 left_branch(0, 15, 2, 6),
% 42.93/43.18 left_branch(0, 2, 0, 7),
% 42.93/43.18 right_branch(7),
% 42.93/43.18 left_branch(0, 19, 5, 8),
% 42.93/43.18 left_branch(0, 17, 4, 9),
% 42.93/43.18 left_branch(0, 1, 1, 10),
% 42.93/43.18 left_branch(0, 2, 0, 11),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 left_branch(0, 6, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 3, 2, 12),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 reduction(0, 5),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 left_branch(0, 3, 2, 10),
% 42.93/43.18 left_branch(0, 6, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 16, 0, 12),
% 42.93/43.18 reduction(0, 5),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 left_branch(0, 6, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 left_branch(0, 1, 1, 14),
% 42.93/43.18 left_branch(0, 2, 0, 15),
% 42.93/43.18 right_branch(15),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(14),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 6),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 right_branch(6),
% 42.93/43.18 reduction(0, 0),
% 42.93/43.18 right_branch(5),
% 42.93/43.18 left_branch(0, 7, 1, 6),
% 42.93/43.18 left_branch(0, 15, 2, 7),
% 42.93/43.18 left_branch(0, 2, 0, 8),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 left_branch(0, 19, 5, 9),
% 42.93/43.18 left_branch(0, 17, 4, 10),
% 42.93/43.18 left_branch(0, 1, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 6, 1, 12),
% 42.93/43.18 left_branch(0, 2, 0, 13),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 left_branch(0, 3, 2, 13),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 reduction(0, 5),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 left_branch(0, 3, 2, 11),
% 42.93/43.18 left_branch(0, 6, 1, 12),
% 42.93/43.18 left_branch(0, 2, 0, 13),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 left_branch(0, 16, 0, 13),
% 42.93/43.18 reduction(0, 5),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 lemmata(0, 6),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 6, 1, 12),
% 42.93/43.18 left_branch(0, 2, 0, 13),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 reduction(0, 4),
% 42.93/43.18 left_branch(0, 1, 1, 15),
% 42.93/43.18 left_branch(0, 2, 0, 16),
% 42.93/43.18 right_branch(16),
% 42.93/43.18 reduction(0, 3),
% 42.93/43.18 right_branch(15),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 lemmata(0, 7),
% 42.93/43.18 right_branch(9),
% 42.93/43.18 right_branch(7),
% 42.93/43.18 reduction(0, 0),
% 42.93/43.18 right_branch(6),
% 42.93/43.18 left_branch(0, 16, 6, 7),
% 42.93/43.18 left_branch(0, 10, 3, 8),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(8),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 left_branch(0, 6, 1, 10),
% 42.93/43.18 left_branch(0, 2, 0, 11),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 7, 0, 12),
% 42.93/43.18 reduction(0, 0),
% 42.93/43.18 left_branch(0, 10, 0, 14),
% 42.93/43.18 left_branch(0, 0, 2, 15),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 7),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 right_branch(15),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(14),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 right_branch(10),
% 42.93/43.18 left_branch(0, 15, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 left_branch(0, 7, 0, 13),
% 42.93/43.18 reduction(0, 0),
% 42.93/43.18 left_branch(0, 10, 0, 15),
% 42.93/43.18 left_branch(0, 0, 2, 16),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 8),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 right_branch(16),
% 42.93/43.18 lemmata(0, 4),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 right_branch(15),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 lemmata(0, 6),
% 42.93/43.18 lemmata(0, 5),
% 42.93/43.18 right_branch(7),
% 42.93/43.18 left_branch(0, 19, 0, 8),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 left_branch(0, 6, 1, 11),
% 42.93/43.18 left_branch(0, 2, 0, 12),
% 42.93/43.18 right_branch(12),
% 42.93/43.18 left_branch(0, 7, 0, 13),
% 42.93/43.18 reduction(0, 0),
% 42.93/43.18 left_branch(0, 11, 5, 15),
% 42.93/43.18 reduction(0, 1),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 lemmata(0, 3),
% 42.93/43.18 lemmata(0, 6),
% 42.93/43.18 reduction(0, 2),
% 42.93/43.18 lemmata(0, 2),
% 42.93/43.18 lemmata(0, 1),
% 42.93/43.18 lemmata(0, 1),
% 42.93/43.18 right_branch(15),
% 42.93/43.18 right_branch(13),
% 42.93/43.18 right_branch(11),
% 42.93/43.18 left_branch(0, 15, 1, 12),
% 42.93/43.18 left_branch(0, 2, 0, 13),
% 42.93/43.18 right_branch(13),
% 42.93/43.19 left_branch(0, 7, 0, 14),
% 42.93/43.19 reduction(0, 0),
% 42.93/43.19 left_branch(0, 11, 5, 16),
% 42.93/43.19 reduction(0, 1),
% 42.93/43.19 lemmata(0, 3),
% 42.93/43.19 lemmata(0, 3),
% 42.93/43.19 lemmata(0, 7),
% 42.93/43.19 reduction(0, 2),
% 42.93/43.19 lemmata(0, 2),
% 42.93/43.19 lemmata(0, 1),
% 42.93/43.19 lemmata(0, 1),
% 42.93/43.19 right_branch(16),
% 42.93/43.19 right_branch(14),
% 42.93/43.19 right_branch(12),
% 42.93/43.19 lemmata(0, 5),
% 42.93/43.19 left_branch(0, 6, 1, 14),
% 42.93/43.19 left_branch(0, 2, 0, 15),
% 42.93/43.19 right_branch(15),
% 42.93/43.19 left_branch(0, 13, 0, 16),
% 42.93/43.19 reduction(0, 0),
% 42.93/43.19 left_branch(0, 11, 2, 18),
% 42.93/43.19 reduction(0, 1),
% 42.93/43.19 left_branch(0, 16, 6, 20),
% 42.93/43.19 reduction(0, 2),
% 42.93/43.19 reduction(0, 6),
% 42.93/43.19 lemmata(0, 4),
% 42.93/43.19 lemmata(0, 5),
% 42.93/43.19 lemmata(0, 5),
% 42.93/43.19 lemmata(0, 4),
% 42.93/43.19 right_branch(20),
% 42.93/43.19 lemmata(0, 3),
% 42.93/43.19 lemmata(0, 2),
% 42.93/43.19 reduction(0, 2),
% 42.93/43.19 lemmata(0, 2),
% 42.93/43.19 lemmata(0, 8),
% 42.93/43.19 lemmata(0, 1),
% 42.93/43.19 right_branch(18),
% 42.93/43.19 right_branch(16),
% 42.93/43.19 right_branch(14),
% 42.93/43.19 lemmata(0, 4),
% 42.93/43.19 lemmata(0, 6),
% 42.93/43.19 right_branch(8),
% 42.93/43.19 right_branch(4),
% 42.93/43.19 right_branch(2)
% 42.93/43.19 )).
% 42.93/43.19 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------