TSTP Solution File: SYO652-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYO652-1 : 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 : n003.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 194.80s 194.99s
% Output : Proof 194.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYO652-1 : TPTP v8.1.2. Released v7.3.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n003.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Mar 20 21:08:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 194.80/194.99 % SZS status Unsatisfiable for theBenchmark
% 194.80/194.99 % SZS output start Proof for theBenchmark
% 194.80/194.99
% 194.80/194.99 % Problem matrix:
% 194.80/194.99 cnf(matrix-0, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) )).
% 194.80/194.99 cnf(matrix-1, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_12), f(suc(B_12))) )).
% 194.80/194.99 cnf(matrix-2, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-3, plain, ( ~E(0, f(suc(suc(A_1)))) | ~E(0, f(suc(A_1))) | ~E(f(A_1), f(suc(A_1))) | ~E(0, f(A_1)) | iLEQ(suc(A_1), suc(A_1)) )).
% 194.80/194.99 cnf(matrix-4, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-5, plain, ( LE(f(A), s(0)) )).
% 194.80/194.99 cnf(matrix-6, plain, ( ~LE(f(suc(B_10)), s(0)) | E(0, f(suc(B_10))) | LE(f(B_10), 0) )).
% 194.80/194.99 cnf(matrix-7, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) )).
% 194.80/194.99 cnf(matrix-8, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(A_1), f(suc(A_1))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-9, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) )).
% 194.80/194.99 cnf(matrix-10, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(A_1), f(suc(A_1))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) )).
% 194.80/194.99 cnf(matrix-11, plain, ( ~LE(f(B_10), s(0)) | E(0, f(B_10)) | LE(f(B_10), 0) )).
% 194.80/194.99 cnf(matrix-12, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_12), f(suc(B_12))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-13, plain, ( ~LE(f(suc(suc(B_10))), s(0)) | E(0, f(suc(suc(B_10)))) | LE(f(B_10), 0) )).
% 194.80/194.99 cnf(matrix-14, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-15, plain, ( ~LE(f(z), 0) )).
% 194.80/194.99 cnf(matrix-16, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(A_1), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-17, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_12), f(suc(B_12))) )).
% 194.80/194.99 cnf(matrix-18, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(A_1), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-19, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_11), f(suc(B_11))) | E(f(B_12), f(suc(B_12))) )).
% 194.80/194.99 cnf(matrix-20, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(suc(B_11)))) | ~E(0, f(suc(A_1))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_11), f(suc(B_11))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(A_1), f(suc(A_1))) | E(f(B_12), f(suc(B_12))) | E(f(B_13), f(suc(B_13))) )).
% 194.80/194.99 cnf(matrix-21, plain, ( ~E(0, f(A_1)) | ~E(0, f(suc(A_1))) | E(f(A_1), f(suc(A_1))) | iLEQ(suc(A_1), suc(A_1)) )).
% 194.80/194.99 cnf(matrix-22, plain, ( ~E(0, f(suc(B_11))) | ~iLEQ(suc(B_12), suc(B_13)) | ~E(0, f(suc(A_1))) | ~E(0, f(suc(suc(A_1)))) | ~E(0, f(B_11)) | ~E(0, f(A_1)) | ~E(0, f(B_13)) | ~E(0, f(suc(B_12))) | ~E(f(B_12), f(suc(B_12))) | ~E(0, f(suc(suc(B_12)))) | ~E(f(A_1), f(suc(A_1))) | ~iLEQ(suc(A_1), suc(B_11)) | ~E(0, f(suc(B_13))) | ~E(0, f(B_12)) | ~E(0, f(suc(suc(B_13)))) | ~E(f(B_13), f(suc(B_13))) | ~iLEQ(suc(B_11), suc(B_12)) | E(f(B_11), f(suc(B_11))) )).
% 194.80/194.99
% 194.80/194.99 % Proof stack:
% 194.80/194.99 cnf(proof-stack, plain,
% 194.80/194.99 proof_stack(
% 194.80/194.99 start(15),
% 194.80/194.99 left_branch(0, 11, 2, 2),
% 194.80/194.99 left_branch(0, 5, 0, 3),
% 194.80/194.99 right_branch(3),
% 194.80/194.99 left_branch(0, 22, 4, 4),
% 194.80/194.99 left_branch(0, 6, 1, 5),
% 194.80/194.99 left_branch(0, 5, 0, 6),
% 194.80/194.99 right_branch(6),
% 194.80/194.99 reduction(0, 0),
% 194.80/194.99 right_branch(5),
% 194.80/194.99 left_branch(0, 3, 4, 6),
% 194.80/194.99 left_branch(0, 13, 1, 7),
% 194.80/194.99 left_branch(0, 5, 0, 8),
% 194.80/194.99 right_branch(8),
% 194.80/194.99 reduction(0, 0),
% 194.80/194.99 right_branch(7),
% 194.80/194.99 reduction(0, 1),
% 194.80/194.99 left_branch(0, 21, 2, 9),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(9),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(6),
% 194.80/194.99 left_branch(0, 21, 2, 7),
% 194.80/194.99 reduction(0, 1),
% 194.80/194.99 left_branch(0, 2, 10, 9),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 2),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 2),
% 194.80/194.99 right_branch(9),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(7),
% 194.80/194.99 left_branch(0, 13, 1, 8),
% 194.80/194.99 left_branch(0, 5, 0, 9),
% 194.80/194.99 right_branch(9),
% 194.80/194.99 reduction(0, 0),
% 194.80/194.99 right_branch(8),
% 194.80/194.99 reduction(0, 1),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 left_branch(0, 21, 3, 11),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 left_branch(0, 3, 2, 13),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(13),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(11),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 left_branch(0, 10, 12, 18),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 reduction(0, 2),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 reduction(0, 1),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 left_branch(0, 3, 4, 24),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 right_branch(24),
% 194.80/194.99 lemmata(0, 2),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 3),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 lemmata(0, 5),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 2),
% 194.80/194.99 right_branch(18),
% 194.80/194.99 lemmata(0, 4),
% 194.80/194.99 lemmata(0, 1),
% 194.80/194.99 lemmata(0, 2),
% 194.80/194.99 right_branch(4),
% 194.80/194.99 right_branch(2)
% 194.80/194.99 )).
% 194.80/194.99 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------