TSTP Solution File: SWV973-10 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% 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
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