%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SET856-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n014.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 : 600s % DateTime : Tue Jul 19 03:45:16 EDT 2022 % Result : Unsatisfiable 0.22s 0.41s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SET856-2 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : moca.sh %s % 0.15/0.36 % Computer : n014.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Mon Jul 11 06:05:34 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.41 % SZS status Unsatisfiable % 0.22/0.41 % SZS output start Proof % 0.22/0.41 The input problem is unsatisfiable because % 0.22/0.41 % 0.22/0.41 [1] the following set of Horn clauses is unsatisfiable: % 0.22/0.41 % 0.22/0.41 c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) % 0.22/0.41 c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) ==> \bottom % 0.22/0.41 % 0.22/0.41 This holds because % 0.22/0.41 % 0.22/0.41 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.22/0.41 % 0.22/0.41 E: % 0.22/0.41 c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) = true__ % 0.22/0.41 f1(c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a)))) = true__ % 0.22/0.41 f1(true__) = false__ % 0.22/0.41 G: % 0.22/0.41 true__ = false__ % 0.22/0.41 % 0.22/0.41 This holds because % 0.22/0.41 % 0.22/0.41 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.22/0.41 % 0.22/0.41 % 0.22/0.41 c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) -> true__ % 0.22/0.41 f1(c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a)))) -> true__ % 0.22/0.41 f1(true__) -> false__ % 0.22/0.41 false__ -> true__ % 0.22/0.41 with the LPO induced by % 0.22/0.41 f1 > tc_set > v_Y > c_Union > t_a > v_n > v_S > c_Zorn_Osucc > c_lessequals > false__ > true__ % 0.22/0.41 % 0.22/0.41 % SZS output end Proof % 0.22/0.41 %------------------------------------------------------------------------------