%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SYN049-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n029.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 09:13:20 EDT 2022

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN049-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : moca.sh %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jul 12 00:04:02 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  % SZS status Unsatisfiable
% 0.13/0.37  % SZS output start Proof
% 0.13/0.37  The input problem is unsatisfiable because
% 0.13/0.37  
% 0.13/0.37  [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.37  
% 0.13/0.37  	big_p(f(X)) ==> big_q(g(X))
% 0.13/0.37  	big_p(X)
% 0.13/0.37  	big_q(X) ==> \bottom
% 0.13/0.37  
% 0.13/0.37  This holds because
% 0.13/0.37  
% 0.13/0.37  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.37  
% 0.13/0.37  E:
% 0.13/0.37  	big_p(X) = true__
% 0.13/0.37  	f1(big_p(f(X)), X) = true__
% 0.13/0.37  	f1(true__, X) = big_q(g(X))
% 0.13/0.37  	f2(big_q(X)) = true__
% 0.13/0.37  	f2(true__) = false__
% 0.13/0.37  G:
% 0.13/0.37  	true__ = false__
% 0.13/0.37  
% 0.13/0.37  This holds because
% 0.13/0.37  
% 0.13/0.37  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.37  
% 0.13/0.37  
% 0.13/0.37  	big_p(X) -> true__
% 0.13/0.37  	big_q(g(Y0)) -> true__
% 0.13/0.37  	f1(big_p(f(X)), X) -> true__
% 0.13/0.37  	f1(true__, X) -> big_q(g(X))
% 0.13/0.37  	f2(big_q(X)) -> true__
% 0.13/0.37  	f2(true__) -> false__
% 0.13/0.37  	false__ -> true__
% 0.13/0.37  with the LPO induced by
% 0.13/0.37  	f2 > f > big_p > f1 > g > big_q > false__ > true__
% 0.13/0.37  
% 0.13/0.37  % SZS output end Proof
% 0.13/0.37  
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