%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SYN329-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n012.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 09:15:22 EDT 2022

% Result   : Unknown 0.20s 0.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SYN329-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14  % Command  : moca.sh %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Tue Jul 12 05:38:42 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.42  % SZS status Satisfiable
% 0.20/0.42  % SZS output start Proof
% 0.20/0.42  The input problem is satisfiable because
% 0.20/0.42  
% 0.20/0.42  [1] the following set of Horn clauses is satisfiable:
% 0.20/0.42  
% 0.20/0.42  	f(X, X) = true
% 0.20/0.42  	f(Y, Y) = true
% 0.20/0.42  	f(X, z(X, Y)) = true
% 0.20/0.42  	f(z(X, Y), Y) = true ==> \bottom
% 0.20/0.42  
% 0.20/0.42  This holds because
% 0.20/0.42  
% 0.20/0.42  [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 0.20/0.42  
% 0.20/0.42  E:
% 0.20/0.42  	f(X, X) = true
% 0.20/0.42  	f(X, z(X, Y)) = true
% 0.20/0.42  	f(Y, Y) = true
% 0.20/0.42  	f1(f(z(X, Y), Y)) = false__
% 0.20/0.42  	f1(true) = true__
% 0.20/0.42  G:
% 0.20/0.42  	true__ = false__
% 0.20/0.42  
% 0.20/0.42  This holds because
% 0.20/0.42  
% 0.20/0.42  [3] the following ground-complete ordered TRS entails E but does not entail G:
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  	f(X, X) -> true
% 0.20/0.42  	f(X, z(X, Y)) -> true
% 0.20/0.42  	f(Y, Y) -> true
% 0.20/0.42  	f1(f(z(X, Y), Y)) -> false__
% 0.20/0.42  	f1(true) -> true__
% 0.20/0.42  with the LPO induced by
% 0.20/0.42  	f1 > z > f > true > true__ > false__
% 0.20/0.42  
% 0.20/0.42  % SZS output end Proof
% 0.20/0.42  
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