%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : ANA041-2 : TPTP v8.1.0. Released v3.2.0.
% 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 : Thu Jul 14 19:15:52 EDT 2022

% Result   : Unsatisfiable 0.14s 0.39s
% Output   : Proof 0.14s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : ANA041-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : moca.sh %s
% 0.14/0.35  % Computer : n018.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Fri Jul  8 07:04:55 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.39  % SZS status Unsatisfiable
% 0.14/0.39  % SZS output start Proof
% 0.14/0.39  The input problem is unsatisfiable because
% 0.14/0.39  
% 0.14/0.39  [1] the following set of Horn clauses is unsatisfiable:
% 0.14/0.39  
% 0.14/0.39  	c_lessequals(c_0, v_h(V_U, V_V), t_c)
% 0.14/0.39  	c_lessequals(c_0, v_h(v_xa, v_xb), t_c) ==> \bottom
% 0.14/0.39  
% 0.14/0.39  This holds because
% 0.14/0.39  
% 0.14/0.39  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.14/0.39  
% 0.14/0.39  E:
% 0.14/0.39  	c_lessequals(c_0, v_h(V_U, V_V), t_c) = true__
% 0.14/0.39  	f1(c_lessequals(c_0, v_h(v_xa, v_xb), t_c)) = true__
% 0.14/0.39  	f1(true__) = false__
% 0.14/0.39  G:
% 0.14/0.39  	true__ = false__
% 0.14/0.39  
% 0.14/0.39  This holds because
% 0.14/0.39  
% 0.14/0.39  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.14/0.39  
% 0.14/0.39  
% 0.14/0.39  	c_lessequals(c_0, v_h(V_U, V_V), t_c) -> true__
% 0.14/0.39  	f1(c_lessequals(c_0, v_h(v_xa, v_xb), t_c)) -> true__
% 0.14/0.39  	f1(true__) -> false__
% 0.14/0.39  	false__ -> true__
% 0.14/0.39  with the LPO induced by
% 0.14/0.39  	v_xb > v_xa > f1 > t_c > v_h > c_0 > c_lessequals > false__ > true__
% 0.14/0.39  
% 0.14/0.39  % SZS output end Proof
% 0.14/0.39  
%------------------------------------------------------------------------------