%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : ANA041-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n018.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 : Thu Jul 14 19:15:52 EDT 2022 % Result : Unsatisfiable 0.14s 0.39s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ANA041-2 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : moca.sh %s % 0.14/0.35 % Computer : n018.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Fri Jul 8 07:04:55 EDT 2022 % 0.14/0.35 % CPUTime : % 0.14/0.39 % SZS status Unsatisfiable % 0.14/0.39 % SZS output start Proof % 0.14/0.39 The input problem is unsatisfiable because % 0.14/0.39 % 0.14/0.39 [1] the following set of Horn clauses is unsatisfiable: % 0.14/0.39 % 0.14/0.39 c_lessequals(c_0, v_h(V_U, V_V), t_c) % 0.14/0.39 c_lessequals(c_0, v_h(v_xa, v_xb), t_c) ==> \bottom % 0.14/0.39 % 0.14/0.39 This holds because % 0.14/0.39 % 0.14/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.14/0.39 % 0.14/0.39 E: % 0.14/0.39 c_lessequals(c_0, v_h(V_U, V_V), t_c) = true__ % 0.14/0.39 f1(c_lessequals(c_0, v_h(v_xa, v_xb), t_c)) = true__ % 0.14/0.39 f1(true__) = false__ % 0.14/0.39 G: % 0.14/0.39 true__ = false__ % 0.14/0.39 % 0.14/0.39 This holds because % 0.14/0.39 % 0.14/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.14/0.39 % 0.14/0.39 % 0.14/0.39 c_lessequals(c_0, v_h(V_U, V_V), t_c) -> true__ % 0.14/0.39 f1(c_lessequals(c_0, v_h(v_xa, v_xb), t_c)) -> true__ % 0.14/0.39 f1(true__) -> false__ % 0.14/0.39 false__ -> true__ % 0.14/0.39 with the LPO induced by % 0.14/0.39 v_xb > v_xa > f1 > t_c > v_h > c_0 > c_lessequals > false__ > true__ % 0.14/0.39 % 0.14/0.39 % SZS output end Proof % 0.14/0.39 %------------------------------------------------------------------------------