TSTP Solution File: SYN100-1.005 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n013.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 14:41:51 EDT 2024
% Result : Unsatisfiable 1.21s 1.42s
% Output : Proof 1.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN100-1.005 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n013.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 22:47:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 1.21/1.42 % SZS status Unsatisfiable for theBenchmark
% 1.21/1.42 % SZS output start Proof for theBenchmark
% 1.21/1.42
% 1.21/1.42 % Problem matrix:
% 1.21/1.42 cnf(matrix-0, plain, ( ~p_0(X) | ~q_0(X) )).
% 1.21/1.42 cnf(matrix-1, plain, ( p_0(X) | ~p_1(X) | ~p_2(X) )).
% 1.21/1.42 cnf(matrix-2, plain, ( p_0(X) | ~q_1(X) | ~q_2(X) )).
% 1.21/1.42 cnf(matrix-3, plain, ( p_1(X) | ~p_2(X) | ~p_3(X) )).
% 1.21/1.42 cnf(matrix-4, plain, ( p_1(X) | ~q_2(X) | ~q_3(X) )).
% 1.21/1.42 cnf(matrix-5, plain, ( p_2(X) | ~p_3(X) | ~p_4(X) )).
% 1.21/1.42 cnf(matrix-6, plain, ( p_2(X) | ~q_3(X) | ~q_4(X) )).
% 1.21/1.42 cnf(matrix-7, plain, ( p_3(X) | ~p_4(X) | ~p_5(X) )).
% 1.21/1.42 cnf(matrix-8, plain, ( p_3(X) | ~q_4(X) | ~q_5(X) )).
% 1.21/1.42 cnf(matrix-9, plain, ( p_4(X) | ~p_5(X) | ~p_6(X) )).
% 1.21/1.42 cnf(matrix-10, plain, ( p_4(X) | ~q_5(X) | ~q_6(X) )).
% 1.21/1.42 cnf(matrix-11, plain, ( p_5(X) | ~p_6(X) | ~p_7(X) )).
% 1.21/1.42 cnf(matrix-12, plain, ( p_5(X) | ~q_6(X) | ~q_7(X) )).
% 1.21/1.42 cnf(matrix-13, plain, ( p_6(X) | ~p_7(X) | ~p_8(X) )).
% 1.21/1.42 cnf(matrix-14, plain, ( p_6(X) | ~q_7(X) | ~q_8(X) )).
% 1.21/1.42 cnf(matrix-15, plain, ( p_7(X) | ~p_8(X) | ~p_9(X) )).
% 1.21/1.42 cnf(matrix-16, plain, ( p_7(X) | ~q_8(X) | ~q_9(X) )).
% 1.21/1.42 cnf(matrix-17, plain, ( q_0(X) | ~p_1(X) | ~q_2(X) )).
% 1.21/1.42 cnf(matrix-18, plain, ( q_0(X) | ~q_1(X) | ~p_2(X) )).
% 1.21/1.42 cnf(matrix-19, plain, ( q_1(X) | ~p_2(X) | ~q_3(X) )).
% 1.21/1.42 cnf(matrix-20, plain, ( q_1(X) | ~q_2(X) | ~p_3(X) )).
% 1.21/1.42 cnf(matrix-21, plain, ( q_2(X) | ~p_3(X) | ~q_4(X) )).
% 1.21/1.42 cnf(matrix-22, plain, ( q_2(X) | ~q_3(X) | ~p_4(X) )).
% 1.21/1.42 cnf(matrix-23, plain, ( q_3(X) | ~p_4(X) | ~q_5(X) )).
% 1.21/1.42 cnf(matrix-24, plain, ( q_3(X) | ~q_4(X) | ~p_5(X) )).
% 1.21/1.42 cnf(matrix-25, plain, ( q_4(X) | ~p_5(X) | ~q_6(X) )).
% 1.21/1.42 cnf(matrix-26, plain, ( q_4(X) | ~q_5(X) | ~p_6(X) )).
% 1.21/1.42 cnf(matrix-27, plain, ( q_5(X) | ~p_6(X) | ~q_7(X) )).
% 1.21/1.42 cnf(matrix-28, plain, ( q_5(X) | ~q_6(X) | ~p_7(X) )).
% 1.21/1.42 cnf(matrix-29, plain, ( q_6(X) | ~p_7(X) | ~q_8(X) )).
% 1.21/1.42 cnf(matrix-30, plain, ( q_6(X) | ~q_7(X) | ~p_8(X) )).
% 1.21/1.42 cnf(matrix-31, plain, ( q_7(X) | ~p_8(X) | ~q_9(X) )).
% 1.21/1.42 cnf(matrix-32, plain, ( q_7(X) | ~q_8(X) | ~p_9(X) )).
% 1.21/1.42 cnf(matrix-33, plain, ( p_9(X) | ~p_4(X) )).
% 1.21/1.42 cnf(matrix-34, plain, ( p_10(X) | ~p_5(X) )).
% 1.21/1.42 cnf(matrix-35, plain, ( q_9(X) | ~q_4(X) )).
% 1.21/1.42 cnf(matrix-36, plain, ( q_10(X) | ~q_5(X) )).
% 1.21/1.42 cnf(matrix-37, plain, ( p_8(a) )).
% 1.21/1.42 cnf(matrix-38, plain, ( p_9(a) )).
% 1.21/1.42 cnf(matrix-39, plain, ( q_8(a) )).
% 1.21/1.42 cnf(matrix-40, plain, ( q_9(a) )).
% 1.21/1.42 cnf(matrix-41, plain, ( sym_p_0(X) | sym_q_0(X) )).
% 1.21/1.42 cnf(matrix-42, plain, ( ~sym_p_0(X) | sym_p_1(X) | sym_p_2(X) )).
% 1.21/1.42 cnf(matrix-43, plain, ( ~sym_p_0(X) | sym_q_1(X) | sym_q_2(X) )).
% 1.21/1.42 cnf(matrix-44, plain, ( ~sym_p_1(X) | sym_p_2(X) | sym_p_3(X) )).
% 1.21/1.42 cnf(matrix-45, plain, ( ~sym_p_1(X) | sym_q_2(X) | sym_q_3(X) )).
% 1.21/1.42 cnf(matrix-46, plain, ( ~sym_p_2(X) | sym_p_3(X) | sym_p_4(X) )).
% 1.21/1.42 cnf(matrix-47, plain, ( ~sym_p_2(X) | sym_q_3(X) | sym_q_4(X) )).
% 1.21/1.42 cnf(matrix-48, plain, ( ~sym_p_3(X) | sym_p_4(X) | sym_p_5(X) )).
% 1.21/1.42 cnf(matrix-49, plain, ( ~sym_p_3(X) | sym_q_4(X) | sym_q_5(X) )).
% 1.21/1.42 cnf(matrix-50, plain, ( ~sym_p_4(X) | sym_p_5(X) | sym_p_6(X) )).
% 1.21/1.42 cnf(matrix-51, plain, ( ~sym_p_4(X) | sym_q_5(X) | sym_q_6(X) )).
% 1.21/1.42 cnf(matrix-52, plain, ( ~sym_p_5(X) | sym_p_6(X) | sym_p_7(X) )).
% 1.21/1.42 cnf(matrix-53, plain, ( ~sym_p_5(X) | sym_q_6(X) | sym_q_7(X) )).
% 1.21/1.42 cnf(matrix-54, plain, ( ~sym_p_6(X) | sym_p_7(X) | sym_p_8(X) )).
% 1.21/1.42 cnf(matrix-55, plain, ( ~sym_p_6(X) | sym_q_7(X) | sym_q_8(X) )).
% 1.21/1.42 cnf(matrix-56, plain, ( ~sym_p_7(X) | sym_p_8(X) | sym_p_9(X) )).
% 1.21/1.42 cnf(matrix-57, plain, ( ~sym_p_7(X) | sym_q_8(X) | sym_q_9(X) )).
% 1.21/1.42 cnf(matrix-58, plain, ( ~sym_q_0(X) | sym_p_1(X) | sym_q_2(X) )).
% 1.21/1.42 cnf(matrix-59, plain, ( ~sym_q_0(X) | sym_q_1(X) | sym_p_2(X) )).
% 1.21/1.42 cnf(matrix-60, plain, ( ~sym_q_1(X) | sym_p_2(X) | sym_q_3(X) )).
% 1.21/1.42 cnf(matrix-61, plain, ( ~sym_q_1(X) | sym_q_2(X) | sym_p_3(X) )).
% 1.21/1.42 cnf(matrix-62, plain, ( ~sym_q_2(X) | sym_p_3(X) | sym_q_4(X) )).
% 1.21/1.42 cnf(matrix-63, plain, ( ~sym_q_2(X) | sym_q_3(X) | sym_p_4(X) )).
% 1.21/1.42 cnf(matrix-64, plain, ( ~sym_q_3(X) | sym_p_4(X) | sym_q_5(X) )).
% 1.21/1.42 cnf(matrix-65, plain, ( ~sym_q_3(X) | sym_q_4(X) | sym_p_5(X) )).
% 1.21/1.42 cnf(matrix-66, plain, ( ~sym_q_4(X) | sym_p_5(X) | sym_q_6(X) )).
% 1.21/1.42 cnf(matrix-67, plain, ( ~sym_q_4(X) | sym_q_5(X) | sym_p_6(X) )).
% 1.21/1.42 cnf(matrix-68, plain, ( ~sym_q_5(X) | sym_p_6(X) | sym_q_7(X) )).
% 1.21/1.42 cnf(matrix-69, plain, ( ~sym_q_5(X) | sym_q_6(X) | sym_p_7(X) )).
% 1.21/1.42 cnf(matrix-70, plain, ( ~sym_q_6(X) | sym_p_7(X) | sym_q_8(X) )).
% 1.21/1.42 cnf(matrix-71, plain, ( ~sym_q_6(X) | sym_q_7(X) | sym_p_8(X) )).
% 1.21/1.42 cnf(matrix-72, plain, ( ~sym_q_7(X) | sym_p_8(X) | sym_q_9(X) )).
% 1.21/1.42 cnf(matrix-73, plain, ( ~sym_q_7(X) | sym_q_8(X) | sym_p_9(X) )).
% 1.21/1.42 cnf(matrix-74, plain, ( ~sym_p_9(X) | sym_p_4(X) )).
% 1.21/1.42 cnf(matrix-75, plain, ( ~sym_p_10(X) | sym_p_5(X) )).
% 1.21/1.42 cnf(matrix-76, plain, ( ~sym_q_9(X) | sym_q_4(X) )).
% 1.21/1.42 cnf(matrix-77, plain, ( ~sym_q_10(X) | sym_q_5(X) )).
% 1.21/1.42 cnf(matrix-78, plain, ( ~sym_p_8(a) )).
% 1.21/1.42 cnf(matrix-79, plain, ( ~sym_p_9(a) )).
% 1.21/1.42 cnf(matrix-80, plain, ( ~sym_q_8(a) )).
% 1.21/1.42 cnf(matrix-81, plain, ( ~sym_q_9(a) )).
% 1.21/1.42
% 1.21/1.42 % Proof stack:
% 1.21/1.42 cnf(proof-stack, plain,
% 1.21/1.42 proof_stack(
% 1.21/1.42 start(0),
% 1.21/1.42 left_branch(0, 2, 0, 2),
% 1.21/1.42 left_branch(0, 22, 0, 3),
% 1.21/1.42 left_branch(0, 10, 0, 4),
% 1.21/1.42 left_branch(0, 30, 0, 5),
% 1.21/1.42 left_branch(0, 37, 0, 6),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 left_branch(0, 32, 0, 7),
% 1.21/1.42 left_branch(0, 38, 0, 8),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 right_branch(5),
% 1.21/1.42 left_branch(0, 28, 0, 6),
% 1.21/1.42 left_branch(0, 16, 0, 7),
% 1.21/1.42 left_branch(0, 40, 0, 8),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 lemmata(0, 0),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 right_branch(4),
% 1.21/1.42 left_branch(0, 24, 0, 5),
% 1.21/1.42 left_branch(0, 12, 0, 6),
% 1.21/1.42 left_branch(0, 32, 0, 7),
% 1.21/1.42 left_branch(0, 38, 0, 8),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 left_branch(0, 30, 0, 8),
% 1.21/1.42 left_branch(0, 37, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 lemmata(0, 1),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 left_branch(0, 26, 0, 7),
% 1.21/1.42 left_branch(0, 14, 0, 8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 32, 0, 10),
% 1.21/1.42 left_branch(0, 38, 0, 11),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 lemmata(0, 2),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 28, 0, 9),
% 1.21/1.42 left_branch(0, 16, 0, 10),
% 1.21/1.42 left_branch(0, 40, 0, 11),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 left_branch(0, 39, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 left_branch(0, 29, 0, 11),
% 1.21/1.42 left_branch(0, 39, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 lemmata(0, 3),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 right_branch(5),
% 1.21/1.42 right_branch(3),
% 1.21/1.42 left_branch(0, 20, 0, 4),
% 1.21/1.42 left_branch(0, 8, 0, 5),
% 1.21/1.42 left_branch(0, 28, 0, 6),
% 1.21/1.42 left_branch(0, 16, 0, 7),
% 1.21/1.42 left_branch(0, 40, 0, 8),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 left_branch(0, 30, 0, 8),
% 1.21/1.42 left_branch(0, 37, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 32, 0, 10),
% 1.21/1.42 left_branch(0, 38, 0, 11),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 left_branch(0, 39, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 left_branch(0, 26, 0, 7),
% 1.21/1.42 left_branch(0, 14, 0, 8),
% 1.21/1.42 left_branch(0, 39, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 32, 0, 10),
% 1.21/1.42 left_branch(0, 38, 0, 11),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 lemmata(0, 2),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 lemmata(0, 1),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 right_branch(5),
% 1.21/1.42 lemmata(0, 0),
% 1.21/1.42 right_branch(4),
% 1.21/1.42 right_branch(2),
% 1.21/1.42 left_branch(0, 18, 0, 3),
% 1.21/1.42 left_branch(0, 6, 0, 4),
% 1.21/1.42 left_branch(0, 26, 0, 5),
% 1.21/1.42 left_branch(0, 14, 0, 6),
% 1.21/1.42 left_branch(0, 39, 0, 7),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 left_branch(0, 32, 0, 8),
% 1.21/1.42 left_branch(0, 38, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 lemmata(0, 1),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 left_branch(0, 28, 0, 7),
% 1.21/1.42 left_branch(0, 16, 0, 8),
% 1.21/1.42 left_branch(0, 40, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 39, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 30, 0, 9),
% 1.21/1.42 left_branch(0, 37, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 left_branch(0, 32, 0, 11),
% 1.21/1.42 left_branch(0, 38, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 right_branch(5),
% 1.21/1.42 left_branch(0, 24, 0, 6),
% 1.21/1.42 left_branch(0, 12, 0, 7),
% 1.21/1.42 left_branch(0, 32, 0, 8),
% 1.21/1.42 left_branch(0, 38, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 39, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 30, 0, 9),
% 1.21/1.42 left_branch(0, 37, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 lemmata(0, 2),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 lemmata(0, 1),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 right_branch(4),
% 1.21/1.42 left_branch(0, 20, 0, 5),
% 1.21/1.42 left_branch(0, 8, 0, 6),
% 1.21/1.42 left_branch(0, 28, 0, 7),
% 1.21/1.42 left_branch(0, 16, 0, 8),
% 1.21/1.42 left_branch(0, 40, 0, 9),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 39, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 30, 0, 9),
% 1.21/1.42 left_branch(0, 37, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 left_branch(0, 32, 0, 11),
% 1.21/1.42 left_branch(0, 38, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 left_branch(0, 26, 0, 8),
% 1.21/1.42 left_branch(0, 14, 0, 9),
% 1.21/1.42 left_branch(0, 39, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 left_branch(0, 32, 0, 11),
% 1.21/1.42 left_branch(0, 38, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 lemmata(0, 3),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 lemmata(0, 2),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 right_branch(6),
% 1.21/1.42 left_branch(0, 22, 0, 7),
% 1.21/1.42 left_branch(0, 10, 0, 8),
% 1.21/1.42 left_branch(0, 30, 0, 9),
% 1.21/1.42 left_branch(0, 37, 0, 10),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 left_branch(0, 32, 0, 11),
% 1.21/1.42 left_branch(0, 38, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 left_branch(0, 28, 0, 10),
% 1.21/1.42 left_branch(0, 16, 0, 11),
% 1.21/1.42 left_branch(0, 40, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 lemmata(0, 3),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 right_branch(8),
% 1.21/1.42 left_branch(0, 23, 0, 9),
% 1.21/1.42 left_branch(0, 28, 0, 10),
% 1.21/1.42 left_branch(0, 16, 0, 11),
% 1.21/1.42 left_branch(0, 40, 0, 12),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 right_branch(11),
% 1.21/1.42 left_branch(0, 29, 0, 12),
% 1.21/1.42 left_branch(0, 39, 0, 13),
% 1.21/1.42 right_branch(13),
% 1.21/1.42 lemmata(0, 4),
% 1.21/1.42 right_branch(12),
% 1.21/1.42 right_branch(10),
% 1.21/1.42 lemmata(0, 3),
% 1.21/1.42 right_branch(9),
% 1.21/1.42 right_branch(7),
% 1.21/1.42 right_branch(5),
% 1.21/1.42 right_branch(3)
% 1.21/1.42 )).
% 1.21/1.42 % SZS output end Proof for theBenchmark
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