TSTP Solution File: PUZ030-2 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 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 14:29:00 EDT 2024
% Result : Unsatisfiable 1.08s 1.24s
% Output : Proof 1.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : PUZ030-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.33 % Computer : n002.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Wed Mar 20 23:42:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 1.08/1.24 % SZS status Unsatisfiable for theBenchmark
% 1.08/1.24 % SZS output start Proof for theBenchmark
% 1.08/1.24
% 1.08/1.24 % Problem matrix:
% 1.08/1.24 cnf(matrix-0, plain, ( ~salt_mill | mustard_barry | mustard_lang )).
% 1.08/1.24 cnf(matrix-1, plain, ( ~salt_mill | mustard_barry | salt_lang )).
% 1.08/1.24 cnf(matrix-2, plain, ( ~salt_mill | salt_barry | mustard_lang )).
% 1.08/1.24 cnf(matrix-3, plain, ( ~salt_mill | salt_barry | salt_lang )).
% 1.08/1.24 cnf(matrix-4, plain, ( ~mustard_lang | ~mustard_cole | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-5, plain, ( ~mustard_lang | ~mustard_cole | ~salt_mill )).
% 1.08/1.24 cnf(matrix-6, plain, ( ~mustard_lang | ~salt_cole | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-7, plain, ( ~mustard_lang | ~salt_cole | ~salt_mill )).
% 1.08/1.24 cnf(matrix-8, plain, ( ~mustard_dix | ~mustard_lang | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-9, plain, ( ~mustard_dix | ~mustard_lang | ~salt_mill )).
% 1.08/1.24 cnf(matrix-10, plain, ( ~mustard_dix | ~salt_lang | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-11, plain, ( ~mustard_dix | ~salt_lang | ~salt_mill )).
% 1.08/1.24 cnf(matrix-12, plain, ( ~salt_dix | ~mustard_barry | mustard_cole )).
% 1.08/1.24 cnf(matrix-13, plain, ( ~salt_dix | ~mustard_barry | salt_cole )).
% 1.08/1.24 cnf(matrix-14, plain, ( ~salt_dix | ~salt_barry | mustard_cole )).
% 1.08/1.24 cnf(matrix-15, plain, ( ~salt_dix | ~salt_barry | salt_cole )).
% 1.08/1.24 cnf(matrix-16, plain, ( ~mustard_cole | mustard_dix | mustard_lang )).
% 1.08/1.24 cnf(matrix-17, plain, ( ~mustard_cole | mustard_dix | salt_lang )).
% 1.08/1.24 cnf(matrix-18, plain, ( ~mustard_cole | salt_dix | mustard_lang )).
% 1.08/1.24 cnf(matrix-19, plain, ( ~mustard_cole | salt_dix | salt_lang )).
% 1.08/1.24 cnf(matrix-20, plain, ( ~mustard_barry | ~mustard_dix | mustard_mill )).
% 1.08/1.24 cnf(matrix-21, plain, ( ~mustard_barry | ~mustard_dix | salt_mill )).
% 1.08/1.24 cnf(matrix-22, plain, ( ~mustard_barry | ~salt_dix | mustard_mill )).
% 1.08/1.24 cnf(matrix-23, plain, ( ~mustard_barry | ~salt_dix | salt_mill )).
% 1.08/1.24 cnf(matrix-24, plain, ( salt_dix | ~mustard_dix | mustard_mill )).
% 1.08/1.24 cnf(matrix-25, plain, ( ~salt_dix | mustard_dix | mustard_mill )).
% 1.08/1.24 cnf(matrix-26, plain, ( salt_cole | ~mustard_cole | mustard_mill )).
% 1.08/1.24 cnf(matrix-27, plain, ( ~salt_cole | mustard_cole | mustard_mill )).
% 1.08/1.24 cnf(matrix-28, plain, ( ~salt_lang | ~mustard_lang | salt_mill )).
% 1.08/1.24 cnf(matrix-29, plain, ( ~salt_barry | ~mustard_barry | salt_mill )).
% 1.08/1.24 cnf(matrix-30, plain, ( salt_dix | ~mustard_dix | salt_lang )).
% 1.08/1.24 cnf(matrix-31, plain, ( ~salt_dix | mustard_dix | salt_lang )).
% 1.08/1.24 cnf(matrix-32, plain, ( salt_barry | ~mustard_barry | salt_lang )).
% 1.08/1.24 cnf(matrix-33, plain, ( ~salt_barry | mustard_barry | salt_lang )).
% 1.08/1.24 cnf(matrix-34, plain, ( ~salt_cole | ~mustard_cole | salt_dix )).
% 1.08/1.24 cnf(matrix-35, plain, ( ~salt_lang | ~mustard_lang | mustard_cole )).
% 1.08/1.24 cnf(matrix-36, plain, ( ~salt_dix | ~mustard_dix | mustard_cole )).
% 1.08/1.24 cnf(matrix-37, plain, ( salt_barry | ~mustard_barry | salt_cole )).
% 1.08/1.24 cnf(matrix-38, plain, ( ~salt_barry | mustard_barry | salt_cole )).
% 1.08/1.24 cnf(matrix-39, plain, ( ~salt_mill | ~mustard_mill | mustard_barry )).
% 1.08/1.24 cnf(matrix-40, plain, ( salt_lang | ~mustard_lang | salt_barry )).
% 1.08/1.24 cnf(matrix-41, plain, ( ~salt_lang | mustard_lang | salt_barry )).
% 1.08/1.24 cnf(matrix-42, plain, ( salt_cole | ~mustard_cole | salt_barry )).
% 1.08/1.24 cnf(matrix-43, plain, ( ~salt_cole | mustard_cole | salt_barry )).
% 1.08/1.24 cnf(matrix-44, plain, ( ~salt_cole | ~mustard_barry | ~salt_barry | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-45, plain, ( ~salt_cole | ~mustard_barry | ~salt_barry | ~salt_mill )).
% 1.08/1.24 cnf(matrix-46, plain, ( ~salt_cole | salt_barry | mustard_barry | ~mustard_mill )).
% 1.08/1.24 cnf(matrix-47, plain, ( ~salt_cole | salt_barry | mustard_barry | ~salt_mill )).
% 1.08/1.24 cnf(matrix-48, plain, ( ~mustard_mill | ~mustard_cole | ~salt_cole | ~mustard_dix | ~salt_dix )).
% 1.08/1.24 cnf(matrix-49, plain, ( ~mustard_mill | salt_cole | mustard_cole | salt_dix | mustard_dix )).
% 1.08/1.24 cnf(matrix-50, plain, ( ~salt_lang | ~mustard_barry | ~salt_barry | ~mustard_dix | ~salt_dix )).
% 1.08/1.24 cnf(matrix-51, plain, ( ~salt_lang | ~mustard_barry | ~salt_barry | salt_dix | mustard_dix )).
% 1.08/1.24 cnf(matrix-52, plain, ( ~salt_lang | salt_barry | mustard_barry | ~mustard_dix | ~salt_dix )).
% 1.08/1.24 cnf(matrix-53, plain, ( ~salt_barry | ~mustard_cole | ~salt_cole | ~mustard_lang | ~salt_lang )).
% 1.08/1.24 cnf(matrix-54, plain, ( ~salt_barry | ~mustard_cole | ~salt_cole | salt_lang | mustard_lang )).
% 1.08/1.24 cnf(matrix-55, plain, ( salt_mill | mustard_mill | mustard_lang )).
% 1.08/1.24 cnf(matrix-56, plain, ( salt_cole | mustard_cole | mustard_lang )).
% 1.08/1.24 cnf(matrix-57, plain, ( salt_mill | mustard_mill | mustard_dix )).
% 1.08/1.24 cnf(matrix-58, plain, ( salt_lang | mustard_lang | mustard_dix )).
% 1.08/1.24 cnf(matrix-59, plain, ( salt_barry | mustard_barry | salt_dix )).
% 1.08/1.24 cnf(matrix-60, plain, ( salt_mill | mustard_mill | salt_cole )).
% 1.08/1.24 cnf(matrix-61, plain, ( salt_dix | mustard_dix | mustard_barry )).
% 1.08/1.24 cnf(matrix-62, plain, ( salt_lang | ~mustard_barry | ~salt_barry | ~salt_mill | ~mustard_lang | salt_cole | mustard_cole | salt_dix | mustard_dix | mustard_mill )).
% 1.08/1.24
% 1.08/1.24 % Proof stack:
% 1.08/1.24 cnf(proof-stack, plain,
% 1.08/1.24 proof_stack(
% 1.08/1.24 start(8),
% 1.08/1.24 left_branch(0, 61, 1, 2),
% 1.08/1.24 left_branch(0, 14, 0, 3),
% 1.08/1.24 left_branch(0, 4, 1, 4),
% 1.08/1.24 left_branch(0, 16, 2, 5),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 left_branch(0, 25, 2, 6),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 right_branch(4),
% 1.08/1.24 left_branch(0, 41, 2, 5),
% 1.08/1.24 left_branch(0, 31, 2, 6),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 left_branch(0, 35, 1, 7),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 right_branch(3),
% 1.08/1.24 left_branch(0, 29, 1, 4),
% 1.08/1.24 left_branch(0, 43, 2, 5),
% 1.08/1.24 left_branch(0, 37, 2, 6),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 left_branch(0, 34, 1, 7),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 left_branch(0, 62, 3, 6),
% 1.08/1.24 left_branch(0, 51, 0, 7),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 left_branch(0, 19, 0, 10),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 left_branch(0, 45, 0, 11),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(11),
% 1.08/1.24 left_branch(0, 58, 1, 12),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 right_branch(12),
% 1.08/1.24 left_branch(0, 49, 0, 13),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 lemmata(0, 4),
% 1.08/1.24 lemmata(0, 5),
% 1.08/1.24 right_branch(13),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 right_branch(4),
% 1.08/1.24 right_branch(2),
% 1.08/1.24 left_branch(0, 55, 1, 3),
% 1.08/1.24 left_branch(0, 62, 3, 4),
% 1.08/1.24 left_branch(0, 11, 1, 5),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 left_branch(0, 20, 1, 6),
% 1.08/1.24 left_branch(0, 1, 1, 7),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 left_branch(0, 52, 4, 7),
% 1.08/1.24 left_branch(0, 31, 2, 8),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 left_branch(0, 22, 0, 10),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 left_branch(0, 33, 0, 11),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 lemmata(0, 4),
% 1.08/1.24 right_branch(11),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 left_branch(0, 54, 1, 8),
% 1.08/1.24 left_branch(0, 3, 1, 9),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 left_branch(0, 26, 0, 11),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 right_branch(11),
% 1.08/1.24 left_branch(0, 9, 1, 12),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(12),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 left_branch(0, 54, 2, 9),
% 1.08/1.24 left_branch(0, 43, 2, 10),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 lemmata(0, 4),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 left_branch(0, 9, 1, 12),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(12),
% 1.08/1.24 left_branch(0, 27, 1, 13),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(13),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 left_branch(0, 58, 1, 10),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 left_branch(0, 59, 0, 12),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 left_branch(0, 37, 1, 14),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 lemmata(0, 5),
% 1.08/1.24 right_branch(14),
% 1.08/1.24 right_branch(12),
% 1.08/1.24 left_branch(0, 61, 2, 13),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 right_branch(13),
% 1.08/1.24 right_branch(4),
% 1.08/1.24 left_branch(0, 53, 3, 5),
% 1.08/1.24 left_branch(0, 52, 1, 6),
% 1.08/1.24 left_branch(0, 40, 0, 7),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 left_branch(0, 21, 0, 9),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 left_branch(0, 59, 2, 10),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 left_branch(0, 33, 2, 7),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 left_branch(0, 29, 1, 9),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 left_branch(0, 60, 2, 8),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 left_branch(0, 36, 2, 9),
% 1.08/1.24 left_branch(0, 24, 0, 10),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 right_branch(3),
% 1.08/1.24 left_branch(0, 58, 1, 4),
% 1.08/1.24 left_branch(0, 51, 0, 5),
% 1.08/1.24 left_branch(0, 10, 0, 6),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 left_branch(0, 36, 0, 7),
% 1.08/1.24 left_branch(0, 16, 0, 8),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(7),
% 1.08/1.24 left_branch(0, 41, 2, 8),
% 1.08/1.24 reduction(0, 1),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 left_branch(0, 61, 2, 9),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 right_branch(5),
% 1.08/1.24 left_branch(0, 48, 3, 6),
% 1.08/1.24 lemmata(0, 1),
% 1.08/1.24 left_branch(0, 30, 0, 8),
% 1.08/1.24 lemmata(0, 2),
% 1.08/1.24 lemmata(0, 0),
% 1.08/1.24 right_branch(8),
% 1.08/1.24 left_branch(0, 42, 0, 9),
% 1.08/1.24 left_branch(0, 15, 1, 10),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 left_branch(0, 56, 1, 11),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 reduction(0, 0),
% 1.08/1.24 right_branch(11),
% 1.08/1.24 right_branch(9),
% 1.08/1.24 left_branch(0, 43, 1, 10),
% 1.08/1.24 lemmata(0, 4),
% 1.08/1.24 left_branch(0, 14, 1, 12),
% 1.08/1.24 lemmata(0, 3),
% 1.08/1.24 reduction(0, 2),
% 1.08/1.24 right_branch(12),
% 1.08/1.24 right_branch(10),
% 1.08/1.24 right_branch(6),
% 1.08/1.24 right_branch(4)
% 1.08/1.24 )).
% 1.08/1.24 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------