TSTP Solution File: COM010-2 by Moca---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Moca---0.1
% Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : moca.sh %s
% Computer : n016.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 : Fri Jul 15 01:33:19 EDT 2022
% Result : Unsatisfiable 0.20s 0.39s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : moca.sh %s
% 0.13/0.33 % Computer : n016.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 : Thu Jun 16 17:10:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.39 % SZS status Unsatisfiable
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 The input problem is unsatisfiable because
% 0.20/0.39
% 0.20/0.39 [1] the following set of Horn clauses is unsatisfiable:
% 0.20/0.39
% 0.20/0.39 c_UNITY_OInit(v_F, t_a) = c_UNITY_OInit(v_G, t_a)
% 0.20/0.39 c_UNITY_OActs(v_F, t_a) = c_UNITY_OActs(v_G, t_a)
% 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) = c_UNITY_OAllowedActs(v_G, t_a)
% 0.20/0.39 v_F = v_G ==> \bottom
% 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) = V_y
% 0.20/0.39
% 0.20/0.39 This holds because
% 0.20/0.39
% 0.20/0.39 [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.20/0.39
% 0.20/0.39 E:
% 0.20/0.39 c_UNITY_OActs(v_F, t_a) = c_UNITY_OActs(v_G, t_a)
% 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) = c_UNITY_OAllowedActs(v_G, t_a)
% 0.20/0.39 c_UNITY_OInit(v_F, t_a) = c_UNITY_OInit(v_G, t_a)
% 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) = V_y
% 0.20/0.39 f1(v_F) = true__
% 0.20/0.39 f1(v_G) = false__
% 0.20/0.39 G:
% 0.20/0.39 true__ = false__
% 0.20/0.39
% 0.20/0.39 This holds because
% 0.20/0.39
% 0.20/0.39 [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.20/0.39
% 0.20/0.39
% 0.20/0.39 c_UNITY_OActs(v_F, t_a) -> c_UNITY_OActs(v_G, t_a)
% 0.20/0.39 c_UNITY_OAllowedActs(v_F, t_a) -> c_UNITY_OAllowedActs(v_G, t_a)
% 0.20/0.39 c_UNITY_OInit(v_F, t_a) -> c_UNITY_OInit(v_G, t_a)
% 0.20/0.39 c_UNITY_Omk__program(c_Pair(c_UNITY_OInit(V_y, T_a), c_Pair(c_UNITY_OActs(V_y, T_a), c_UNITY_OAllowedActs(V_y, T_a), tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a)))), tc_set(T_a), tc_prod(tc_set(tc_set(tc_prod(T_a, T_a))), tc_set(tc_set(tc_prod(T_a, T_a))))), T_a) -> V_y
% 0.20/0.39 f1(v_F) -> true__
% 0.20/0.39 f1(v_G) -> false__
% 0.20/0.39 true__ -> false__
% 0.20/0.39 v_F -> v_G
% 0.20/0.39 with the LPO induced by
% 0.20/0.39 tc_prod > tc_set > c_Pair > c_UNITY_Omk__program > f1 > v_F > c_UNITY_OAllowedActs > c_UNITY_OActs > v_G > t_a > c_UNITY_OInit > true__ > false__
% 0.20/0.39
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39
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