%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : ALG299-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n020.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 17:42:21 EDT 2022

% Result   : Unknown 0.17s 0.39s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : ALG299-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.11  % Command  : moca.sh %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun  9 02:57:51 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.17/0.39  % SZS status Satisfiable
% 0.17/0.39  % SZS output start Proof
% 0.17/0.39  The input problem is satisfiable because
% 0.17/0.39  
% 0.17/0.39  [1] the following set of Horn clauses is satisfiable:
% 0.17/0.39  
% 0.17/0.39  	f(product(A, B)) = A
% 0.17/0.39  	g(product(A, B)) = B
% 0.17/0.39  	tptp1 = tptp0 ==> \bottom
% 0.17/0.39  
% 0.17/0.39  This holds because
% 0.17/0.39  
% 0.17/0.39  [2] the following E does not entail the following G (Claessen-Smallbone's transformation (2018)):
% 0.17/0.39  
% 0.17/0.39  E:
% 0.17/0.39  	f(product(A, B)) = A
% 0.17/0.39  	f1(tptp0) = true__
% 0.17/0.39  	f1(tptp1) = false__
% 0.17/0.39  	g(product(A, B)) = B
% 0.17/0.39  G:
% 0.17/0.39  	true__ = false__
% 0.17/0.39  
% 0.17/0.39  This holds because
% 0.17/0.39  
% 0.17/0.39  [3] the following ground-complete ordered TRS entails E but does not entail G:
% 0.17/0.39  
% 0.17/0.39  
% 0.17/0.39  	f(product(A, B)) -> A
% 0.17/0.39  	f1(tptp0) -> true__
% 0.17/0.39  	f1(tptp1) -> false__
% 0.17/0.39  	g(product(A, B)) -> B
% 0.17/0.39  with the LPO induced by
% 0.17/0.39  	tptp0 > tptp1 > f1 > g > product > f > true__ > false__
% 0.17/0.39  
% 0.17/0.39  % SZS output end Proof
% 0.17/0.39  
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