TSTP Solution File: SET863-2 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n010.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 : Wed Mar 6 09:19:54 EST 2024
% Result : Unsatisfiable 109.43s 109.62s
% Output : Proof 109.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET863-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Mar 3 19:58:25 EST 2024
% 0.13/0.33 % CPUTime :
% 109.43/109.62 % SZS status Unsatisfiable for theBenchmark
% 109.43/109.62 % SZS output start Proof for theBenchmark
% 109.43/109.62
% 109.43/109.62 % Problem matrix:
% 109.43/109.62 cnf(matrix-0, plain, ( ~c_in(V_c, V_A, T_a) | ~c_lessequals(V_A, V_B, tc_set(T_a)) | c_in(V_c, V_B, T_a) )).
% 109.43/109.62 cnf(matrix-1, plain, ( c_in(c_Main_OsubsetI__1(V_A, V_B, T_a), V_A, T_a) | c_lessequals(V_A, V_B, tc_set(T_a)) )).
% 109.43/109.62 cnf(matrix-2, plain, ( ~c_in(c_Main_OsubsetI__1(V_A, V_B, T_a), V_B, T_a) | c_lessequals(V_A, V_B, tc_set(T_a)) )).
% 109.43/109.62 cnf(matrix-3, plain, ( ~c_in(V_z, V_S, tc_set(T_a)) | ~c_in(V_c, c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) | c_in(c_Zorn_Ochain__extend__1(V_c, V_z, T_a), V_c, tc_set(T_a)) | c_in(c_union(c_insert(V_z, c_emptyset, tc_set(T_a)), V_c, tc_set(T_a)), c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) )).
% 109.43/109.62 cnf(matrix-4, plain, ( ~c_in(V_z, V_S, tc_set(T_a)) | ~c_in(V_c, c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(c_Zorn_Ochain__extend__1(V_c, V_z, T_a), V_z, tc_set(T_a)) | c_in(c_union(c_insert(V_z, c_emptyset, tc_set(T_a)), V_c, tc_set(T_a)), c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) )).
% 109.43/109.62 cnf(matrix-5, plain, ( ~c_in(V_z, V_x, T_a) | ~c_in(V_c, c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(c_union(c_insert(V_x, c_emptyset, tc_set(T_a)), V_c, tc_set(T_a)), c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) | c_in(V_z, V_y, T_a) | c_in(c_Zorn_Omaxchain__super__lemma__1(V_c, V_y, T_a), V_c, tc_set(T_a)) )).
% 109.43/109.62 cnf(matrix-6, plain, ( ~c_in(V_z, V_x, T_a) | ~c_in(V_c, c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(c_union(c_insert(V_x, c_emptyset, tc_set(T_a)), V_c, tc_set(T_a)), c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(c_Zorn_Omaxchain__super__lemma__1(V_c, V_y, T_a), V_y, tc_set(T_a)) | c_in(V_z, V_y, T_a) )).
% 109.43/109.62 cnf(matrix-7, plain, ( c_in(v_c, c_Zorn_Omaxchain(v_S, t_a), tc_set(tc_set(t_a))) )).
% 109.43/109.62 cnf(matrix-8, plain, ( c_in(v_c, c_Zorn_Ochain(v_S, t_a), tc_set(tc_set(t_a))) )).
% 109.43/109.62 cnf(matrix-9, plain, ( c_in(v_x, v_S, tc_set(t_a)) )).
% 109.43/109.62 cnf(matrix-10, plain, ( c_lessequals(v_y, v_x, tc_set(t_a)) )).
% 109.43/109.62 cnf(matrix-11, plain, ( c_in(v_xa, v_x, t_a) )).
% 109.43/109.62 cnf(matrix-12, plain, ( ~c_in(v_xa, v_y, t_a) )).
% 109.43/109.62 cnf(matrix-13, plain, ( c_lessequals(V_U, v_y, tc_set(t_a)) | ~c_in(V_U, v_c, tc_set(t_a)) )).
% 109.43/109.62
% 109.43/109.62 % Proof stack:
% 109.43/109.62 cnf(proof-stack, plain,
% 109.43/109.62 proof_stack(
% 109.43/109.62 start(9),
% 109.43/109.62 left_branch(0, 3, 0, 2),
% 109.43/109.62 left_branch(0, 6, 2, 3),
% 109.43/109.62 left_branch(0, 11, 0, 4),
% 109.43/109.62 right_branch(4),
% 109.43/109.62 left_branch(0, 13, 0, 5),
% 109.43/109.62 left_branch(0, 5, 4, 6),
% 109.43/109.62 left_branch(0, 11, 0, 7),
% 109.43/109.62 right_branch(7),
% 109.43/109.62 left_branch(0, 12, 0, 8),
% 109.43/109.62 right_branch(8),
% 109.43/109.62 reduction(0, 1),
% 109.43/109.62 left_branch(0, 7, 0, 10),
% 109.43/109.62 right_branch(10),
% 109.43/109.62 right_branch(6),
% 109.43/109.62 right_branch(5),
% 109.43/109.62 left_branch(0, 12, 0, 6),
% 109.43/109.62 right_branch(6),
% 109.43/109.62 left_branch(0, 7, 0, 7),
% 109.43/109.62 right_branch(7),
% 109.43/109.62 right_branch(3),
% 109.43/109.62 left_branch(0, 13, 1, 4),
% 109.43/109.62 left_branch(0, 0, 1, 5),
% 109.43/109.62 left_branch(0, 1, 0, 6),
% 109.43/109.62 left_branch(0, 4, 2, 7),
% 109.43/109.62 reduction(0, 0),
% 109.43/109.62 lemmata(0, 0),
% 109.43/109.62 left_branch(0, 8, 0, 10),
% 109.43/109.62 right_branch(10),
% 109.43/109.62 right_branch(7),
% 109.43/109.62 right_branch(6),
% 109.43/109.62 left_branch(0, 0, 0, 7),
% 109.43/109.62 left_branch(0, 2, 0, 8),
% 109.43/109.62 left_branch(0, 4, 2, 9),
% 109.43/109.62 reduction(0, 0),
% 109.43/109.62 lemmata(0, 0),
% 109.43/109.62 left_branch(0, 8, 0, 12),
% 109.43/109.62 right_branch(12),
% 109.43/109.62 right_branch(9),
% 109.43/109.62 right_branch(8),
% 109.43/109.62 left_branch(0, 10, 0, 9),
% 109.43/109.62 right_branch(9),
% 109.43/109.62 right_branch(7),
% 109.43/109.62 right_branch(5),
% 109.43/109.62 right_branch(4),
% 109.43/109.62 left_branch(0, 8, 0, 5),
% 109.43/109.62 right_branch(5),
% 109.43/109.62 right_branch(2)
% 109.43/109.62 )).
% 109.43/109.62 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------