%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV819-1 : TPTP v8.1.0. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n021.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 : Wed Jul 20 20:47:40 EDT 2022 % Result : Unsatisfiable 0.12s 0.36s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SWV819-1 : TPTP v8.1.0. Released v4.1.0. % 0.06/0.12 % Command : moca.sh %s % 0.12/0.32 % Computer : n021.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Wed Jun 15 19:14:59 EDT 2022 % 0.12/0.32 % CPUTime : % 0.12/0.36 % SZS status Unsatisfiable % 0.12/0.36 % SZS output start Proof % 0.12/0.36 The input problem is unsatisfiable because % 0.12/0.36 % 0.12/0.36 [1] the following set of Horn clauses is unsatisfiable: % 0.12/0.36 % 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x % 0.12/0.36 c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x % 0.12/0.36 v_s = v_t ==> \bottom % 0.12/0.36 V_s = v_ta % 0.12/0.36 v_ta = v_t ==> \bottom % 0.12/0.36 % 0.12/0.36 This holds because % 0.12/0.36 % 0.12/0.36 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.12/0.36 % 0.12/0.36 E: % 0.12/0.36 V_s = v_ta % 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x % 0.12/0.36 c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x % 0.12/0.36 f1(v_s) = true__ % 0.12/0.36 f1(v_t) = false__ % 0.12/0.36 f2(v_t) = false__ % 0.12/0.36 f2(v_ta) = true__ % 0.12/0.36 G: % 0.12/0.36 true__ = false__ % 0.12/0.36 % 0.12/0.36 This holds because % 0.12/0.36 % 0.12/0.36 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.12/0.36 % 0.12/0.36 V_s = v_ta % 0.12/0.36 X0 = Y0 % 0.12/0.36 false__ = Y0 % 0.12/0.36 c_Code__Evaluation_Otracing(V_s, V_x, T_a) -> V_x % 0.12/0.36 f1(v_s) -> true__ % 0.12/0.36 f1(v_t) -> false__ % 0.12/0.36 f2(v_t) -> false__ % 0.12/0.36 f2(v_ta) -> true__ % 0.12/0.36 true__ -> false__ % 0.12/0.36 with the LPO induced by % 0.12/0.36 f2 > v_ta > v_t > f1 > t_a > v_x > v_s > c_Code__Evaluation_Otracing > true__ > false__ % 0.12/0.36 % 0.12/0.36 % SZS output end Proof % 0.12/0.36 %------------------------------------------------------------------------------