%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : LAT266-2 : 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 : Sun Jul 17 06:05:40 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 % 0.10/0.11 % Problem : LAT266-2 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : moca.sh %s % 0.12/0.33 % Computer : n004.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 30 05:41:38 EDT 2022 % 0.12/0.33 % 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_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) % 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a)) ==> \bottom % 0.12/0.38 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit) % 0.12/0.38 c_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit) % 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_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit) % 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) = true__ % 0.12/0.38 f1(c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))) = true__ % 0.12/0.38 f1(true__) = false__ % 0.12/0.38 v_A = c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit) % 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_Tarski_Opotype_Opset(c_Tarski_Odual(V_cl, T_a), T_a, tc_Product__Type_Ounit) -> c_Tarski_Opotype_Opset(V_cl, T_a, tc_Product__Type_Ounit) % 0.12/0.38 c_lessequals(v_S, c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit), tc_set(t_a)) -> true__ % 0.12/0.38 f1(c_lessequals(v_S, c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl, t_a), t_a, tc_Product__Type_Ounit), tc_set(t_a))) -> true__ % 0.12/0.38 f1(true__) -> false__ % 0.12/0.38 false__ -> true__ % 0.12/0.38 v_A -> c_Tarski_Opotype_Opset(v_cl, t_a, tc_Product__Type_Ounit) % 0.12/0.38 with the LPO induced by % 0.12/0.38 v_A > c_Tarski_Odual > f1 > tc_set > tc_Product__Type_Ounit > t_a > v_cl > c_Tarski_Opotype_Opset > v_S > c_lessequals > false__ > true__ % 0.12/0.38 % 0.12/0.38 % SZS output end Proof % 0.12/0.38 %------------------------------------------------------------------------------