%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SYN552-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n024.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 21 09:17:33 EDT 2022

% Result   : Unknown 0.19s 0.43s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN552-1 : TPTP v8.1.0. Bugfixed v2.5.0.
% 0.11/0.13  % Command  : moca.sh %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Tue Jul 12 01:17:58 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.43  % SZS status Satisfiable
% 0.19/0.43  % SZS output start Proof
% 0.19/0.43  The input problem is satisfiable because
% 0.19/0.43  
% 0.19/0.43  [1] the following set of Horn clauses is satisfiable:
% 0.19/0.43  
% 0.19/0.43  	g(X1) = g(X2)
% 0.19/0.43  	f(g(b), b) = f(g(a), a) ==> \bottom
% 0.19/0.43  
% 0.19/0.43  This holds because
% 0.19/0.43  
% 0.19/0.43  [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 0.19/0.43  
% 0.19/0.43  E:
% 0.19/0.43  	f1(f(g(a), a)) = true__
% 0.19/0.43  	f1(f(g(b), b)) = false__
% 0.19/0.43  	g(X1) = g(X2)
% 0.19/0.43  G:
% 0.19/0.43  	true__ = false__
% 0.19/0.43  
% 0.19/0.43  This holds because
% 0.19/0.43  
% 0.19/0.43  [3] the following ground-complete ordered TRS entails E but does not entail G:
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  	f1(f(g1, a)) -> true__
% 0.19/0.43  	f1(f(g1, b)) -> false__
% 0.19/0.43  	g(X1) -> g1
% 0.19/0.43  with the LPO induced by
% 0.19/0.43  	a > b > f > f1 > g > g1 > true__ > false__
% 0.19/0.43  
% 0.19/0.43  % SZS output end Proof
% 0.19/0.43  
%------------------------------------------------------------------------------