TSTP Solution File: SET847-2 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET847-2 : 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 : n008.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 14:32:36 EDT 2024
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET847-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n008.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 : Wed Mar 20 21:24:13 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% 0.20/0.52
% 0.20/0.52 % Problem matrix:
% 0.20/0.52 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.20/0.52 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.20/0.52 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.20/0.52 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 0.20/0.52 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_minus(__eqx_0, __eqx_1, __eqx_2) = c_minus(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.52 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Main_OsubsetI__1(__eqx_0, __eqx_1, __eqx_2) = c_Main_OsubsetI__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.52 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_OTFin(__eqx_0, __eqx_1) = c_Zorn_OTFin(__eqy_0, __eqy_1)) )).
% 0.20/0.52 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Union(__eqx_0, __eqx_1) = c_Union(__eqy_0, __eqy_1)) )).
% 0.20/0.52 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_Ochain(__eqx_0, __eqx_1) = c_Zorn_Ochain(__eqy_0, __eqy_1)) )).
% 0.20/0.52 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Zorn_Osucc(__eqx_0, __eqx_1, __eqx_2) = c_Zorn_Osucc(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.20/0.52 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_Omaxchain(__eqx_0, __eqx_1) = c_Zorn_Omaxchain(__eqy_0, __eqy_1)) )).
% 0.20/0.52 cnf(matrix-11, 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) )).
% 0.20/0.52 cnf(matrix-12, 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) )).
% 0.20/0.52 cnf(matrix-13, plain, ( ~c_in(V_c, V_A, T_a) | c_in(V_c, V_B, T_a) | c_in(V_c, c_minus(V_A, V_B, tc_set(T_a)), T_a) )).
% 0.20/0.52 cnf(matrix-14, plain, ( ~c_in(V_a, c_emptyset, T_a) )).
% 0.20/0.52 cnf(matrix-15, plain, ( c_lessequals(c_emptyset, V_A, tc_set(T_a)) )).
% 0.20/0.52 cnf(matrix-16, 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)) )).
% 0.20/0.52 cnf(matrix-17, plain, ( ~c_lessequals(V_B, V_A, tc_set(T_a)) | ~c_lessequals(V_A, V_B, tc_set(T_a)) | ( V_A = V_B) )).
% 0.20/0.52 cnf(matrix-18, plain, ( c_lessequals(V_A, V_A, tc_set(T_a)) )).
% 0.20/0.52 cnf(matrix-19, plain, ( ~c_lessequals(V_Y, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(tc_set(T_a)))) | c_in(c_Union(V_Y, tc_set(T_a)), c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) )).
% 0.20/0.52 cnf(matrix-20, plain, ( ~c_in(V_c, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | c_in(V_c, c_Zorn_Ochain(V_S, T_a), tc_set(tc_set(T_a))) )).
% 0.20/0.52 cnf(matrix-21, plain, ( ~c_in(c_Union(c_Zorn_OTFin(V_S, T_a), tc_set(T_a)), c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ( c_Union(c_Zorn_OTFin(V_S, T_a), tc_set(T_a)) = c_Zorn_Osucc(V_S, c_Union(c_Zorn_OTFin(V_S, T_a), tc_set(T_a)), T_a)) )).
% 0.20/0.52 cnf(matrix-22, plain, ( ~c_in(V_c, c_minus(c_Zorn_Ochain(V_S, T_a), c_Zorn_Omaxchain(V_S, T_a), tc_set(tc_set(tc_set(T_a)))), tc_set(tc_set(T_a))) | ( c_Zorn_Osucc(V_S, V_c, T_a) != V_c) )).
% 0.20/0.52 cnf(matrix-23, plain, ( ~c_in(V_U, c_Zorn_Omaxchain(v_S, t_a), tc_set(tc_set(t_a))) )).
% 0.20/0.52
% 0.20/0.52 % Proof stack:
% 0.20/0.52 cnf(proof-stack, plain,
% 0.20/0.52 proof_stack(
% 0.20/0.52 start(22),
% 0.20/0.52 left_branch(0, 13, 2, 2),
% 0.20/0.52 left_branch(0, 20, 1, 3),
% 0.20/0.52 left_branch(0, 19, 1, 4),
% 0.20/0.52 left_branch(0, 18, 0, 5),
% 0.20/0.52 right_branch(5),
% 0.20/0.52 right_branch(4),
% 0.20/0.52 right_branch(3),
% 0.20/0.52 left_branch(0, 23, 0, 4),
% 0.20/0.52 right_branch(4),
% 0.20/0.52 right_branch(2),
% 0.20/0.52 left_branch(0, 1, 1, 3),
% 0.20/0.52 left_branch(0, 21, 1, 4),
% 0.20/0.52 left_branch(0, 19, 1, 5),
% 0.20/0.52 left_branch(0, 18, 0, 6),
% 0.20/0.52 right_branch(6),
% 0.20/0.52 right_branch(5),
% 0.20/0.52 right_branch(4),
% 0.20/0.52 right_branch(3)
% 0.20/0.52 )).
% 0.20/0.52 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------