%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SET824-2 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n008.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 03:44:53 EDT 2022 % Result : Unsatisfiable 0.12s 0.38s % Output : Proof 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SET824-2 : TPTP v8.1.0. Released v3.2.0. % 0.11/0.12 % Command : moca.sh %s % 0.12/0.34 % Computer : n008.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Sat Jul 9 22:46:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.12/0.38 % SZS status Unsatisfiable % 0.12/0.38 % SZS output start Proof % 0.12/0.38 The input problem is unsatisfiable because % 0.12/0.38 % 0.12/0.38 [1] the following set of Horn clauses is unsatisfiable: % 0.12/0.38 % 0.12/0.38 c_in(V_c, V_A, T_a) & c_in(V_c, c_uminus(V_A, tc_set(T_a)), T_a) ==> \bottom % 0.12/0.38 c_in(v_a, V_U, tc_IntDef_Oint) % 0.12/0.38 % 0.12/0.38 This holds because % 0.12/0.38 % 0.12/0.38 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)): % 0.12/0.38 % 0.12/0.38 E: % 0.12/0.38 c_in(v_a, V_U, tc_IntDef_Oint) = true__ % 0.12/0.38 f1(true__) = false__ % 0.12/0.38 f2(c_in(V_c, c_uminus(V_A, tc_set(T_a)), T_a), V_c, V_A, T_a) = true__ % 0.12/0.38 f2(true__, V_c, V_A, T_a) = f1(c_in(V_c, V_A, T_a)) % 0.12/0.38 G: % 0.12/0.38 true__ = false__ % 0.12/0.38 % 0.12/0.38 This holds because % 0.12/0.38 % 0.12/0.38 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS: % 0.12/0.38 % 0.12/0.38 % 0.12/0.38 c_in(v_a, V_U, tc_IntDef_Oint) -> true__ % 0.12/0.38 f1(true__) -> false__ % 0.12/0.38 f2(c_in(V_c, c_uminus(V_A, tc_set(T_a)), T_a), V_c, V_A, T_a) -> true__ % 0.12/0.38 f2(true__, V_c, V_A, T_a) -> f1(c_in(V_c, V_A, T_a)) % 0.12/0.38 false__ -> true__ % 0.12/0.38 with the LPO induced by % 0.12/0.38 tc_IntDef_Oint > v_a > tc_set > c_uminus > f2 > c_in > f1 > false__ > true__ % 0.12/0.38 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 %------------------------------------------------------------------------------