%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SYN318-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n010.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 09:15:14 EDT 2022

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SYN318-1 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.13  % Command  : moca.sh %s
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 02:32:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.39  % SZS status Unsatisfiable
% 0.13/0.39  % SZS output start Proof
% 0.13/0.39  The input problem is unsatisfiable because
% 0.13/0.39  
% 0.13/0.39  [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.39  
% 0.13/0.39  	f(X) & f(b) ==> g(X)
% 0.13/0.39  	p(a)
% 0.13/0.39  	f(X)
% 0.13/0.39  	g(b) ==> \bottom
% 0.13/0.39  
% 0.13/0.39  This holds because
% 0.13/0.39  
% 0.13/0.39  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.39  
% 0.13/0.39  E:
% 0.13/0.39  	f(X) = true__
% 0.13/0.39  	f1(true__, X) = g(X)
% 0.13/0.39  	f2(f(b), X) = true__
% 0.13/0.39  	f2(true__, X) = f1(f(X), X)
% 0.13/0.39  	f3(g(b)) = true__
% 0.13/0.39  	f3(true__) = false__
% 0.13/0.39  	p(a) = true__
% 0.13/0.39  G:
% 0.13/0.39  	true__ = false__
% 0.13/0.39  
% 0.13/0.39  This holds because
% 0.13/0.39  
% 0.13/0.39  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.39  
% 0.13/0.39  
% 0.13/0.39  	f(X) -> true__
% 0.13/0.39  	f1(true__, Y0) -> true__
% 0.13/0.39  	f2(f(b), X) -> true__
% 0.13/0.39  	f2(true__, X) -> f1(f(X), X)
% 0.13/0.39  	f3(f1(true__, b)) -> true__
% 0.13/0.39  	f3(g(b)) -> true__
% 0.13/0.39  	f3(true__) -> false__
% 0.13/0.39  	false__ -> true__
% 0.13/0.39  	g(X) -> f1(true__, X)
% 0.13/0.39  	p(a) -> true__
% 0.13/0.39  with the LPO induced by
% 0.13/0.39  	f3 > a > p > b > f2 > g > f1 > f > false__ > true__
% 0.13/0.39  
% 0.13/0.39  % SZS output end Proof
% 0.13/0.39  
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