%------------------------------------------------------------------------------ % File : Moca---0.1 % Problem : SWV973-10 : TPTP v8.1.0. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : moca.sh %s % Computer : n017.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 20:48:32 EDT 2022 % Result : Unknown 0.17s 0.47s % Output : None % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SWV973-10 : TPTP v8.1.0. Released v7.5.0. % 0.03/0.11 % Command : moca.sh %s % 0.11/0.32 % Computer : n017.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Thu Jun 16 02:05:25 EDT 2022 % 0.11/0.33 % CPUTime : % 0.17/0.47 % SZS status Satisfiable % 0.17/0.47 % SZS output start Proof % 0.17/0.47 The input problem is satisfiable because % 0.17/0.47 % 0.17/0.47 [1] the following set of Horn clauses is satisfiable: % 0.17/0.47 % 0.17/0.47 ifeq2(A, A, B, C) = B % 0.17/0.47 ifeq(A, A, B, C) = B % 0.17/0.47 ifeq2(c_Value_Oval_OAddr(V_nat), c_Value_Oval_OAddr(V_nat_H), V_nat, V_nat_H) = V_nat_H % 0.17/0.47 ifeq2(c_Value_Oval_OIntg(V_int), c_Value_Oval_OIntg(V_int_H), V_int, V_int_H) = V_int_H % 0.17/0.47 c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, c_Expr_Oexp_OVal(v_v____, tc_List_Olist(tc_String_Ochar)), c_Type_Oty_ONT) = true % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int), c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OIntg(V_int), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OIntg(V_int_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OIntg(V_int_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(v_v____, c_Value_Oval_ONull, a, b) = b % 0.17/0.47 a = b ==> \bottom % 0.17/0.47 % 0.17/0.47 This holds because % 0.17/0.47 % 0.17/0.47 [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)): % 0.17/0.47 % 0.17/0.47 E: % 0.17/0.47 c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, c_Expr_Oexp_OVal(v_v____, tc_List_Olist(tc_String_Ochar)), c_Type_Oty_ONT) = true % 0.17/0.47 f1(a) = false__ % 0.17/0.47 f1(b) = true__ % 0.17/0.47 ifeq(A, A, B, C) = B % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OIntg(V_int), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int), c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OIntg(V_int_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OUnit, a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OAddr(V_nat_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OIntg(V_int_H), a, b) = b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq(v_v____, c_Value_Oval_ONull, a, b) = b % 0.17/0.47 ifeq2(A, A, B, C) = B % 0.17/0.47 ifeq2(c_Value_Oval_OAddr(V_nat), c_Value_Oval_OAddr(V_nat_H), V_nat, V_nat_H) = V_nat_H % 0.17/0.47 ifeq2(c_Value_Oval_OIntg(V_int), c_Value_Oval_OIntg(V_int_H), V_int, V_int_H) = V_int_H % 0.17/0.47 G: % 0.17/0.47 true__ = false__ % 0.17/0.47 % 0.17/0.47 This holds because % 0.17/0.47 % 0.17/0.47 [3] the following ground-complete ordered TRS entails E but does not entail G: % 0.17/0.47 % 0.17/0.47 % 0.17/0.47 c_WellTypeRT_OWTrt(v_P, v_ha____, v_E____, c_Expr_Oexp_OVal(v_v____, tc_List_Olist(tc_String_Ochar)), c_Type_Oty_ONT) -> true % 0.17/0.47 f1(a) -> false__ % 0.17/0.47 f1(b) -> true__ % 0.17/0.47 ifeq(A, A, B, C) -> B % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OIntg(V_int), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_ONull, a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OAddr(V_nat_H), c_Value_Oval_OUnit, a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int), c_Value_Oval_OAddr(V_nat_H), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_ONull, a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OIntg(V_int_H), c_Value_Oval_OUnit, a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OAddr(V_nat_H), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OIntg(V_int_H), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_ONull, c_Value_Oval_OUnit, a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OAddr(V_nat_H), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_OIntg(V_int_H), a, b) -> b % 0.17/0.47 ifeq(c_Value_Oval_OUnit, c_Value_Oval_ONull, a, b) -> b % 0.17/0.47 ifeq(v_v____, c_Value_Oval_ONull, a, b) -> b % 0.17/0.47 ifeq2(A, A, B, C) -> B % 0.17/0.47 ifeq2(c_Value_Oval_OAddr(V_nat), c_Value_Oval_OAddr(V_nat_H), V_nat, V_nat_H) -> V_nat_H % 0.17/0.47 ifeq2(c_Value_Oval_OIntg(V_int), c_Value_Oval_OIntg(V_int_H), V_int, V_int_H) -> V_int_H % 0.17/0.47 with the LPO induced by % 0.17/0.47 ifeq2 > f1 > c_Value_Oval_ONull > b > ifeq > a > c_Value_Oval_OUnit > v_E____ > true > c_Type_Oty_ONT > tc_String_Ochar > tc_List_Olist > c_Expr_Oexp_OVal > c_WellTypeRT_OWTrt > v_v____ > v_ha____ > v_P > c_Value_Oval_OIntg > c_Value_Oval_OAddr > true__ > false__ % 0.17/0.47 % 0.17/0.47 % SZS output end Proof % 0.17/0.47 %------------------------------------------------------------------------------