TSTP Solution File: SET858-2 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET858-2 : 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 : n026.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 0.48s 0.65s
% Output : Proof 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SET858-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n026.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 : Sun Mar 3 20:12:37 EST 2024
% 0.12/0.33 % CPUTime :
% 0.48/0.65 % SZS status Unsatisfiable for theBenchmark
% 0.48/0.65 % SZS output start Proof for theBenchmark
% 0.48/0.65
% 0.48/0.65 % Problem matrix:
% 0.48/0.65 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.48/0.65 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.48/0.65 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.48/0.65 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Zorn_OTFin(__eqx_0, __eqx_1) = c_Zorn_OTFin(__eqy_0, __eqy_1)) )).
% 0.48/0.65 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( tc_set(__eqx_0) = tc_set(__eqy_0)) )).
% 0.48/0.65 cnf(matrix-5, 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)) )).
% 0.48/0.65 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Zorn_OTFin__linear__lemma1__1(__eqx_0, __eqx_1, __eqx_2) = c_Zorn_OTFin__linear__lemma1__1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.48/0.65 cnf(matrix-7, 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) )).
% 0.48/0.65 cnf(matrix-8, 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) )).
% 0.48/0.65 cnf(matrix-9, plain, ( c_in(v_m, c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(t_a))) )).
% 0.48/0.65 cnf(matrix-10, plain, ( c_in(v_n, c_Zorn_OTFin(v_S, t_a), tc_set(tc_set(t_a))) )).
% 0.48/0.65 cnf(matrix-11, plain, ( ~c_lessequals(v_n, v_m, tc_set(tc_set(t_a))) )).
% 0.48/0.65 cnf(matrix-12, plain, ( ~c_lessequals(v_m, v_n, tc_set(tc_set(t_a))) )).
% 0.48/0.65 cnf(matrix-13, plain, ( ~c_lessequals(V_B, V_C, tc_set(T_a)) | ~c_lessequals(V_A, V_B, tc_set(T_a)) | c_lessequals(V_A, V_C, tc_set(T_a)) )).
% 0.48/0.65 cnf(matrix-14, plain, ( c_lessequals(V_x, c_Zorn_Osucc(V_S, V_x, T_a), tc_set(tc_set(T_a))) )).
% 0.48/0.65 cnf(matrix-15, plain, ( ~c_in(V_m, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(V_n, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | c_in(c_Zorn_OTFin__linear__lemma1__1(V_S, V_m, T_a), c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | c_lessequals(V_n, V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_Osucc(V_S, V_m, T_a), V_n, tc_set(tc_set(T_a))) )).
% 0.48/0.65 cnf(matrix-16, plain, ( ~c_in(V_m, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(V_n, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | c_lessequals(V_n, V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S, V_m, T_a), V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_Osucc(V_S, V_m, T_a), V_n, tc_set(tc_set(T_a))) )).
% 0.48/0.65 cnf(matrix-17, plain, ( ~c_in(V_m, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(V_n, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ( c_Zorn_OTFin__linear__lemma1__1(V_S, V_m, T_a) != V_m) | c_lessequals(V_n, V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_Osucc(V_S, V_m, T_a), V_n, tc_set(tc_set(T_a))) )).
% 0.48/0.65 cnf(matrix-18, plain, ( ~c_in(V_m, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(V_n, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(c_Zorn_Osucc(V_S, c_Zorn_OTFin__linear__lemma1__1(V_S, V_m, T_a), T_a), V_m, tc_set(tc_set(T_a))) | c_lessequals(V_n, V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_Osucc(V_S, V_m, T_a), V_n, tc_set(tc_set(T_a))) )).
% 0.48/0.65 cnf(matrix-19, plain, ( ~c_in(V_U, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_in(V_m, c_Zorn_OTFin(V_S, T_a), tc_set(tc_set(T_a))) | ~c_lessequals(V_U, V_m, tc_set(tc_set(T_a))) | c_lessequals(c_Zorn_Osucc(V_S, V_U, T_a), V_m, tc_set(tc_set(T_a))) | ( V_U = V_m) )).
% 0.48/0.65
% 0.48/0.65 % Proof stack:
% 0.48/0.65 cnf(proof-stack, plain,
% 0.48/0.65 proof_stack(
% 0.48/0.65 start(11),
% 0.48/0.65 left_branch(0, 16, 2, 2),
% 0.48/0.65 left_branch(0, 9, 0, 3),
% 0.48/0.65 right_branch(3),
% 0.48/0.65 left_branch(0, 19, 2, 4),
% 0.48/0.65 left_branch(0, 15, 2, 5),
% 0.48/0.65 lemmata(0, 0),
% 0.48/0.65 reduction(0, 0),
% 0.48/0.65 left_branch(0, 13, 0, 8),
% 0.48/0.65 left_branch(0, 12, 0, 9),
% 0.48/0.65 right_branch(9),
% 0.48/0.65 left_branch(0, 14, 0, 10),
% 0.48/0.65 right_branch(10),
% 0.48/0.65 right_branch(8),
% 0.48/0.65 left_branch(0, 10, 0, 9),
% 0.48/0.65 right_branch(9),
% 0.48/0.65 right_branch(5),
% 0.48/0.65 left_branch(0, 18, 2, 6),
% 0.48/0.65 lemmata(0, 0),
% 0.48/0.65 reduction(0, 0),
% 0.48/0.65 left_branch(0, 13, 0, 9),
% 0.48/0.65 left_branch(0, 12, 0, 10),
% 0.48/0.65 right_branch(10),
% 0.48/0.65 left_branch(0, 14, 0, 11),
% 0.48/0.65 right_branch(11),
% 0.48/0.65 right_branch(9),
% 0.48/0.65 left_branch(0, 10, 0, 10),
% 0.48/0.65 right_branch(10),
% 0.48/0.65 right_branch(6),
% 0.48/0.65 left_branch(0, 17, 2, 7),
% 0.48/0.65 lemmata(0, 0),
% 0.48/0.65 reduction(0, 0),
% 0.48/0.65 left_branch(0, 13, 0, 10),
% 0.48/0.65 left_branch(0, 12, 0, 11),
% 0.48/0.65 right_branch(11),
% 0.48/0.65 left_branch(0, 14, 0, 12),
% 0.48/0.65 right_branch(12),
% 0.48/0.65 right_branch(10),
% 0.48/0.65 left_branch(0, 10, 0, 11),
% 0.48/0.65 right_branch(11),
% 0.48/0.65 right_branch(7),
% 0.48/0.65 lemmata(0, 0),
% 0.48/0.65 right_branch(4),
% 0.48/0.65 left_branch(0, 13, 0, 5),
% 0.48/0.65 left_branch(0, 12, 0, 6),
% 0.48/0.65 right_branch(6),
% 0.48/0.65 left_branch(0, 14, 0, 7),
% 0.48/0.65 right_branch(7),
% 0.48/0.65 right_branch(5),
% 0.48/0.65 left_branch(0, 10, 0, 6),
% 0.48/0.65 right_branch(6),
% 0.48/0.65 right_branch(2)
% 0.48/0.65 )).
% 0.48/0.65 % SZS output end Proof for theBenchmark
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