TSTP Solution File: SWV819-1 by Moca---0.1

View Problem - Process Solution

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% File     : Moca---0.1
% Problem  : SWV819-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n021.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 20:47:40 EDT 2022

% Result   : Unsatisfiable 0.12s 0.36s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV819-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.12  % Command  : moca.sh %s
% 0.12/0.32  % Computer : n021.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Wed Jun 15 19:14:59 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.12/0.36  % SZS status Unsatisfiable
% 0.12/0.36  % SZS output start Proof
% 0.12/0.36  The input problem is unsatisfiable because
% 0.12/0.36  
% 0.12/0.36  [1] the following set of Horn clauses is unsatisfiable:
% 0.12/0.36  
% 0.12/0.36  	c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x
% 0.12/0.36  	c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x
% 0.12/0.36  	v_s = v_t ==> \bottom
% 0.12/0.36  	V_s = v_ta
% 0.12/0.36  	v_ta = v_t ==> \bottom
% 0.12/0.36  
% 0.12/0.36  This holds because
% 0.12/0.36  
% 0.12/0.36  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.12/0.36  
% 0.12/0.36  E:
% 0.12/0.36  	V_s = v_ta
% 0.12/0.36  	c_Code__Evaluation_Otracing(V_s, V_x, T_a) = V_x
% 0.12/0.36  	c_Code__Evaluation_Otracing(v_s, v_x, t_a) = v_x
% 0.12/0.36  	f1(v_s) = true__
% 0.12/0.36  	f1(v_t) = false__
% 0.12/0.36  	f2(v_t) = false__
% 0.12/0.36  	f2(v_ta) = true__
% 0.12/0.36  G:
% 0.12/0.36  	true__ = false__
% 0.12/0.36  
% 0.12/0.36  This holds because
% 0.12/0.36  
% 0.12/0.36  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.12/0.36  
% 0.12/0.36  	V_s = v_ta
% 0.12/0.36  	X0 = Y0
% 0.12/0.36  	false__ = Y0
% 0.12/0.36  	c_Code__Evaluation_Otracing(V_s, V_x, T_a) -> V_x
% 0.12/0.36  	f1(v_s) -> true__
% 0.12/0.36  	f1(v_t) -> false__
% 0.12/0.36  	f2(v_t) -> false__
% 0.12/0.36  	f2(v_ta) -> true__
% 0.12/0.36  	true__ -> false__
% 0.12/0.36  with the LPO induced by
% 0.12/0.36  	f2 > v_ta > v_t > f1 > t_a > v_x > v_s > c_Code__Evaluation_Otracing > true__ > false__
% 0.12/0.36  
% 0.12/0.36  % SZS output end Proof
% 0.12/0.36  
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