TSTP Solution File: SET865-2 by ConnectPP---0.3.0
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- Process Solution
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% File : ConnectPP---0.3.0
% Problem : SET865-2 : 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 : n025.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 14:32:41 EDT 2024
% Result : Unsatisfiable 0.13s 0.37s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET865-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Mar 20 21:29:53 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% 0.13/0.37
% 0.13/0.37 % Problem matrix:
% 0.13/0.37 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.13/0.37 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.13/0.37 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.13/0.37 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Union(__eqx_0, __eqx_1) = c_Union(__eqy_0, __eqy_1)) )).
% 0.13/0.37 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 0.13/0.37 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_Ochain(__eqx_0, __eqx_1) = c_Zorn_Ochain(__eqy_0, __eqy_1)) )).
% 0.13/0.37 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( v_x(__eqx_0) = v_x(__eqy_0)) )).
% 0.13/0.37 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_OHausdorff__1(__eqx_0, __eqx_1) = c_Zorn_OHausdorff__1(__eqy_0, __eqy_1)) )).
% 0.13/0.37 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_Omaxchain(__eqx_0, __eqx_1) = c_Zorn_Omaxchain(__eqy_0, __eqy_1)) )).
% 0.13/0.37 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_in(__eqx_0, __eqx_1, __eqx_2) | c_in(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.37 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_lessequals(__eqx_0, __eqx_1, __eqx_2) | c_lessequals(__eqy_0, __eqy_1, __eqy_2) )).
% 0.13/0.37 cnf(matrix-11, plain, ( c_in(c_Union(V_U, t_a), v_S, tc_set(t_a)) | ~c_in(V_U, c_Zorn_Ochain(v_S, t_a), tc_set(tc_set(t_a))) )).
% 0.13/0.37 cnf(matrix-12, plain, ( c_in(v_x(V_U), v_S, tc_set(t_a)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.13/0.37 cnf(matrix-13, plain, ( c_lessequals(V_U, v_x(V_U), tc_set(t_a)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.13/0.37 cnf(matrix-14, plain, ( ( V_U != v_x(V_U)) | ~c_in(V_U, v_S, tc_set(t_a)) )).
% 0.13/0.37 cnf(matrix-15, 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) )).
% 0.13/0.37 cnf(matrix-16, plain, ( c_in(c_Zorn_OHausdorff__1(V_S, T_a), c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(T_a))) )).
% 0.13/0.37 cnf(matrix-17, plain, ( ~c_in(V_u, V_S, tc_set(T_a)) | ~c_in(V_c, c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(c_Union(V_c, T_a), V_u, tc_set(T_a)) | ( c_Union(V_c, T_a) = V_u) )).
% 0.13/0.37 cnf(matrix-18, plain, ( c_lessequals(c_Zorn_Omaxchain(V_S, T_a), c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(tc_set(T_a)))) )).
% 0.13/0.37
% 0.13/0.37 % Proof stack:
% 0.13/0.37 cnf(proof-stack, plain,
% 0.13/0.37 proof_stack(
% 0.13/0.37 start(14),
% 0.13/0.37 left_branch(0, 17, 3, 2),
% 0.13/0.37 left_branch(0, 12, 0, 3),
% 0.13/0.37 left_branch(0, 11, 0, 4),
% 0.13/0.37 left_branch(0, 15, 2, 5),
% 0.13/0.37 left_branch(0, 16, 0, 6),
% 0.13/0.37 right_branch(6),
% 0.13/0.37 left_branch(0, 18, 0, 7),
% 0.13/0.37 right_branch(7),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 right_branch(4),
% 0.13/0.37 right_branch(3),
% 0.13/0.37 left_branch(0, 13, 0, 4),
% 0.13/0.37 left_branch(0, 11, 0, 5),
% 0.13/0.37 left_branch(0, 15, 2, 6),
% 0.13/0.37 left_branch(0, 16, 0, 7),
% 0.13/0.37 right_branch(7),
% 0.13/0.37 left_branch(0, 18, 0, 8),
% 0.13/0.37 right_branch(8),
% 0.13/0.37 right_branch(6),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 right_branch(4),
% 0.13/0.37 left_branch(0, 16, 0, 5),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 right_branch(2),
% 0.13/0.37 left_branch(0, 11, 0, 3),
% 0.13/0.37 left_branch(0, 15, 2, 4),
% 0.13/0.37 left_branch(0, 16, 0, 5),
% 0.13/0.37 right_branch(5),
% 0.13/0.37 left_branch(0, 18, 0, 6),
% 0.13/0.37 right_branch(6),
% 0.13/0.37 right_branch(4),
% 0.13/0.37 right_branch(3)
% 0.13/0.37 )).
% 0.13/0.37 % SZS output end Proof for theBenchmark
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