TSTP Solution File: SWV985-1 by Moca---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SWV985-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n018.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 20:48:36 EDT 2022

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SWV985-1 : TPTP v8.1.0. Released v4.1.0.
% 0.08/0.14  % Command  : moca.sh %s
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Tue Jun 14 18:03:29 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.42  % SZS status Unsatisfiable
% 0.22/0.42  % SZS output start Proof
% 0.22/0.42  The input problem is unsatisfiable because
% 0.22/0.42  
% 0.22/0.42  [1] the following set of Horn clauses is unsatisfiable:
% 0.22/0.42  
% 0.22/0.42  	c_COMBI(V_P, T_a) = V_P
% 0.22/0.42  	c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H)
% 0.22/0.42  	c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____)
% 0.22/0.42  	c_COMBI(v_P, t_a) = v_P
% 0.22/0.42  	c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) ==> \bottom
% 0.22/0.42  	c_fequal(V_x, V_x, T_a)
% 0.22/0.42  	c_fequal(V_X, V_Y, T_a) ==> V_X = V_Y
% 0.22/0.42  
% 0.22/0.42  This holds because
% 0.22/0.42  
% 0.22/0.42  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.22/0.42  
% 0.22/0.42  E:
% 0.22/0.42  	c_COMBI(V_P, T_a) = V_P
% 0.22/0.42  	c_COMBI(v_P, t_a) = v_P
% 0.22/0.42  	c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) = true__
% 0.22/0.42  	c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____) = true__
% 0.22/0.42  	c_fequal(V_x, V_x, T_a) = true__
% 0.22/0.42  	f1(c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H)) = true__
% 0.22/0.42  	f1(true__) = false__
% 0.22/0.42  	f2(c_fequal(V_X, V_Y, T_a), V_X, V_Y) = V_Y
% 0.22/0.42  	f2(true__, V_X, V_Y) = V_X
% 0.22/0.42  G:
% 0.22/0.42  	true__ = false__
% 0.22/0.42  
% 0.22/0.42  This holds because
% 0.22/0.42  
% 0.22/0.42  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.22/0.42  
% 0.22/0.42  
% 0.22/0.42  	c_COMBI(V_P, T_a) -> V_P
% 0.22/0.42  	c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H) -> true__
% 0.22/0.42  	c_WellTypeRT_OWTrt(v_P, c_State_Ohp(v_s_H), v_E, v_e_H, v_T____) -> true__
% 0.22/0.42  	c_fequal(V_x, V_x, T_a) -> true__
% 0.22/0.42  	f1(c_TypeSafe__Mirabelle_Osconf(v_P, v_E, v_s_H)) -> true__
% 0.22/0.42  	f1(true__) -> false__
% 0.22/0.42  	f2(c_fequal(V_X, V_Y, T_a), V_X, V_Y) -> V_Y
% 0.22/0.42  	f2(true__, V_X, V_Y) -> V_X
% 0.22/0.42  	false__ -> true__
% 0.22/0.42  with the LPO induced by
% 0.22/0.42  	f2 > c_fequal > f1 > t_a > v_T____ > v_e_H > c_State_Ohp > c_WellTypeRT_OWTrt > v_s_H > v_E > v_P > c_TypeSafe__Mirabelle_Osconf > c_COMBI > false__ > true__
% 0.22/0.42  
% 0.22/0.42  % SZS output end Proof
% 0.22/0.42  
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