%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : ANA042-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n004.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 0.13s 0.37s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.11 % Problem : ANA042-2 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : moca.sh %s % 0.13/0.33 % Computer : n004.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 : 600 % 0.13/0.33 % DateTime : Fri Jul 8 05:30:37 EDT 2022 % 0.13/0.33 % CPUTime : % 0.13/0.37 % SZS status Unsatisfiable % 0.13/0.37 % SZS output start Proof % 0.13/0.37 The input problem is unsatisfiable because % 0.13/0.37 % 0.13/0.37 [1] the following set of Horn clauses is unsatisfiable: % 0.13/0.37 % 0.13/0.37 c_lessequals(c_HOL_Oabs(v_f(V_U, V_V), t_c), c_times(v_x, v_h(V_U, V_V), t_c), t_c) % 0.13/0.37 c_lessequals(c_HOL_Oabs(v_f(v_xa(V_U), v_xb(V_U)), t_c), c_times(V_U, v_h(v_xa(V_U), v_xb(V_U)), t_c), t_c) ==> \bottom % 0.13/0.37 % 0.13/0.37 This holds because % 0.13/0.37 % 0.13/0.37 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.13/0.37 % 0.13/0.37 E: % 0.13/0.37 c_lessequals(c_HOL_Oabs(v_f(V_U, V_V), t_c), c_times(v_x, v_h(V_U, V_V), t_c), t_c) = true__ % 0.13/0.37 f1(c_lessequals(c_HOL_Oabs(v_f(v_xa(V_U), v_xb(V_U)), t_c), c_times(V_U, v_h(v_xa(V_U), v_xb(V_U)), t_c), t_c)) = true__ % 0.13/0.37 f1(true__) = false__ % 0.13/0.37 G: % 0.13/0.37 true__ = false__ % 0.13/0.37 % 0.13/0.37 This holds because % 0.13/0.37 % 0.13/0.37 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.13/0.37 % 0.13/0.37 % 0.13/0.37 c_lessequals(c_HOL_Oabs(v_f(V_U, V_V), t_c), c_times(v_x, v_h(V_U, V_V), t_c), t_c) -> true__ % 0.13/0.37 f1(c_lessequals(c_HOL_Oabs(v_f(v_xa(V_U), v_xb(V_U)), t_c), c_times(V_U, v_h(v_xa(V_U), v_xb(V_U)), t_c), t_c)) -> true__ % 0.13/0.37 f1(true__) -> false__ % 0.13/0.37 false__ -> true__ % 0.13/0.37 with the LPO induced by % 0.13/0.37 v_xb > t_c > v_xa > f1 > v_h > v_x > c_times > v_f > c_HOL_Oabs > c_lessequals > false__ > true__ % 0.13/0.37 % 0.13/0.37 % SZS output end Proof % 0.13/0.37 %------------------------------------------------------------------------------