TSTP Solution File: GRP133-2.003 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n006.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 14:13:32 EDT 2024
% Result : Unsatisfiable 12.39s 12.54s
% Output : Proof 12.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n006.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 : Thu Mar 21 05:44:59 EDT 2024
% 0.12/0.33 % CPUTime :
% 12.39/12.54 % SZS status Unsatisfiable for theBenchmark
% 12.39/12.54 % SZS output start Proof for theBenchmark
% 12.39/12.54
% 12.39/12.54 % Problem matrix:
% 12.39/12.54 cnf(matrix-0, plain, ( next(e_1, e_2) )).
% 12.39/12.54 cnf(matrix-1, plain, ( next(e_2, e_3) )).
% 12.39/12.54 cnf(matrix-2, plain, ( greater(e_2, e_1) )).
% 12.39/12.54 cnf(matrix-3, plain, ( greater(e_3, e_1) )).
% 12.39/12.54 cnf(matrix-4, plain, ( greater(e_3, e_2) )).
% 12.39/12.54 cnf(matrix-5, plain, ( ~product(X, e_1, Y) | ~next(X, X1) | ~greater(Y, X1) )).
% 12.39/12.54 cnf(matrix-6, plain, ( group_element(e_1) )).
% 12.39/12.54 cnf(matrix-7, plain, ( group_element(e_2) )).
% 12.39/12.54 cnf(matrix-8, plain, ( group_element(e_3) )).
% 12.39/12.54 cnf(matrix-9, plain, ( ~equalish(e_1, e_2) )).
% 12.39/12.54 cnf(matrix-10, plain, ( ~equalish(e_1, e_3) )).
% 12.39/12.54 cnf(matrix-11, plain, ( ~equalish(e_2, e_1) )).
% 12.39/12.54 cnf(matrix-12, plain, ( ~equalish(e_2, e_3) )).
% 12.39/12.54 cnf(matrix-13, plain, ( ~equalish(e_3, e_1) )).
% 12.39/12.54 cnf(matrix-14, plain, ( ~equalish(e_3, e_2) )).
% 12.39/12.54 cnf(matrix-15, plain, ( ~group_element(X) | ~group_element(Y) | product(X, Y, e_1) | product(X, Y, e_2) | product(X, Y, e_3) )).
% 12.39/12.54 cnf(matrix-16, plain, ( ~product(X, Y, W) | ~product(X, Y, Z) | equalish(W, Z) )).
% 12.39/12.54 cnf(matrix-17, plain, ( ~product(X, W, Y) | ~product(X, Z, Y) | equalish(W, Z) )).
% 12.39/12.54 cnf(matrix-18, plain, ( ~product(W, Y, X) | ~product(Z, Y, X) | equalish(W, Z) )).
% 12.39/12.54 cnf(matrix-19, plain, ( ~product(X, Y, Z1) | ~product(Y, X, Z2) | product(Z1, Z2, X) )).
% 12.39/12.54
% 12.39/12.54 % Proof stack:
% 12.39/12.54 cnf(proof-stack, plain,
% 12.39/12.54 proof_stack(
% 12.39/12.54 start(19),
% 12.39/12.54 left_branch(0, 19, 2, 2),
% 12.39/12.54 left_branch(0, 15, 3, 3),
% 12.39/12.54 left_branch(0, 8, 0, 4),
% 12.39/12.54 right_branch(4),
% 12.39/12.54 left_branch(0, 18, 0, 5),
% 12.39/12.54 left_branch(0, 14, 0, 6),
% 12.39/12.54 right_branch(6),
% 12.39/12.54 left_branch(0, 19, 2, 7),
% 12.39/12.54 left_branch(0, 15, 3, 8),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 left_branch(0, 17, 0, 10),
% 12.39/12.54 left_branch(0, 14, 0, 11),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 19, 1, 11),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 5, 0, 13),
% 12.39/12.54 left_branch(0, 4, 0, 14),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 left_branch(0, 0, 0, 15),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 lemmata(0, 2),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 right_branch(5),
% 12.39/12.54 left_branch(0, 19, 1, 6),
% 12.39/12.54 left_branch(0, 15, 4, 7),
% 12.39/12.54 left_branch(0, 7, 0, 8),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 left_branch(0, 17, 0, 9),
% 12.39/12.54 left_branch(0, 14, 0, 10),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 15, 3, 11),
% 12.39/12.54 lemmata(0, 2),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 left_branch(0, 18, 0, 14),
% 12.39/12.54 left_branch(0, 12, 0, 15),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 lemmata(0, 2),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 left_branch(0, 19, 1, 10),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 left_branch(0, 19, 1, 12),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 18, 0, 14),
% 12.39/12.54 left_branch(0, 14, 0, 15),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 reduction(0, 4),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 left_branch(0, 17, 0, 8),
% 12.39/12.54 left_branch(0, 10, 0, 9),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 left_branch(0, 15, 3, 10),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 left_branch(0, 18, 0, 12),
% 12.39/12.54 left_branch(0, 14, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 lemmata(0, 2),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 left_branch(0, 19, 1, 13),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 5, 0, 15),
% 12.39/12.54 left_branch(0, 4, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 left_branch(0, 0, 0, 17),
% 12.39/12.54 right_branch(17),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 right_branch(6),
% 12.39/12.54 left_branch(0, 7, 0, 7),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 right_branch(3),
% 12.39/12.54 left_branch(0, 15, 3, 4),
% 12.39/12.54 left_branch(0, 7, 0, 5),
% 12.39/12.54 right_branch(5),
% 12.39/12.54 left_branch(0, 19, 0, 6),
% 12.39/12.54 left_branch(0, 19, 1, 7),
% 12.39/12.54 reduction(0, 3),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 left_branch(0, 19, 2, 8),
% 12.39/12.54 left_branch(0, 15, 4, 9),
% 12.39/12.54 left_branch(0, 8, 0, 10),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 19, 1, 11),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 left_branch(0, 19, 1, 12),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 5, 0, 14),
% 12.39/12.54 left_branch(0, 4, 0, 15),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 left_branch(0, 0, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 lemmata(0, 3),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 left_branch(0, 15, 3, 10),
% 12.39/12.54 left_branch(0, 8, 0, 11),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 left_branch(0, 18, 0, 12),
% 12.39/12.54 left_branch(0, 14, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 left_branch(0, 19, 1, 13),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 5, 0, 15),
% 12.39/12.54 left_branch(0, 4, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 left_branch(0, 0, 0, 17),
% 12.39/12.54 right_branch(17),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 lemmata(0, 4),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 right_branch(6),
% 12.39/12.54 left_branch(0, 19, 1, 7),
% 12.39/12.54 left_branch(0, 15, 4, 8),
% 12.39/12.54 left_branch(0, 8, 0, 9),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 left_branch(0, 19, 1, 10),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 left_branch(0, 18, 0, 12),
% 12.39/12.54 left_branch(0, 10, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 19, 1, 11),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 left_branch(0, 19, 1, 13),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 18, 0, 15),
% 12.39/12.54 left_branch(0, 12, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 reduction(0, 4),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 lemmata(0, 1),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 left_branch(0, 19, 0, 9),
% 12.39/12.54 left_branch(0, 19, 0, 10),
% 12.39/12.54 left_branch(0, 19, 0, 11),
% 12.39/12.54 left_branch(0, 17, 0, 12),
% 12.39/12.54 left_branch(0, 14, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 lemmata(0, 3),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 reduction(0, 4),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 19, 2, 11),
% 12.39/12.54 left_branch(0, 15, 2, 12),
% 12.39/12.54 left_branch(0, 8, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 left_branch(0, 19, 1, 14),
% 12.39/12.54 reduction(0, 6),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 lemmata(0, 4),
% 12.39/12.54 lemmata(0, 5),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 left_branch(0, 15, 4, 13),
% 12.39/12.54 left_branch(0, 8, 0, 14),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 left_branch(0, 19, 1, 15),
% 12.39/12.54 reduction(0, 6),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 left_branch(0, 18, 0, 16),
% 12.39/12.54 left_branch(0, 14, 0, 17),
% 12.39/12.54 right_branch(17),
% 12.39/12.54 reduction(0, 2),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 lemmata(0, 6),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 left_branch(0, 8, 0, 8),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 right_branch(4),
% 12.39/12.54 right_branch(2),
% 12.39/12.54 left_branch(0, 19, 1, 3),
% 12.39/12.54 reduction(0, 0),
% 12.39/12.54 left_branch(0, 19, 0, 5),
% 12.39/12.54 left_branch(0, 18, 0, 6),
% 12.39/12.54 left_branch(0, 14, 0, 7),
% 12.39/12.54 right_branch(7),
% 12.39/12.54 left_branch(0, 15, 3, 8),
% 12.39/12.54 left_branch(0, 7, 0, 9),
% 12.39/12.54 right_branch(9),
% 12.39/12.54 left_branch(0, 17, 0, 10),
% 12.39/12.54 left_branch(0, 14, 0, 11),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(10),
% 12.39/12.54 left_branch(0, 19, 1, 11),
% 12.39/12.54 left_branch(0, 15, 2, 12),
% 12.39/12.54 left_branch(0, 8, 0, 13),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 left_branch(0, 17, 0, 14),
% 12.39/12.54 left_branch(0, 12, 0, 15),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 lemmata(0, 1),
% 12.39/12.54 right_branch(14),
% 12.39/12.54 left_branch(0, 18, 0, 15),
% 12.39/12.54 left_branch(0, 14, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 lemmata(0, 3),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 left_branch(0, 19, 1, 13),
% 12.39/12.54 reduction(0, 5),
% 12.39/12.54 left_branch(0, 18, 0, 15),
% 12.39/12.54 left_branch(0, 14, 0, 16),
% 12.39/12.54 right_branch(16),
% 12.39/12.54 reduction(0, 4),
% 12.39/12.54 right_branch(15),
% 12.39/12.54 right_branch(13),
% 12.39/12.54 right_branch(11),
% 12.39/12.54 left_branch(0, 8, 0, 12),
% 12.39/12.54 right_branch(12),
% 12.39/12.54 right_branch(8),
% 12.39/12.54 right_branch(6),
% 12.39/12.54 lemmata(0, 0),
% 12.39/12.54 right_branch(5),
% 12.39/12.54 right_branch(3),
% 12.39/12.54 lemmata(0, 0)
% 12.39/12.54 )).
% 12.39/12.54 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------