%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Wed Jul 20 20:40:53 EDT 2022

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV011-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % 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 : Wed Jun 15 19:43:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  % SZS status Unsatisfiable
% 0.19/0.39  % SZS output start Proof
% 0.19/0.39  The input problem is unsatisfiable because
% 0.19/0.39  
% 0.19/0.39  [1] the following set of Horn clauses is unsatisfiable:
% 0.19/0.39  
% 0.19/0.39  	b_holds(key(generate_key(an_a_nonce), a))
% 0.19/0.39  	a_holds(key(generate_key(an_a_nonce), b))
% 0.19/0.39  	a_holds(key(A, b)) & b_holds(key(A, a)) ==> \bottom
% 0.19/0.39  
% 0.19/0.39  This holds because
% 0.19/0.39  
% 0.19/0.39  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.19/0.39  
% 0.19/0.39  E:
% 0.19/0.39  	a_holds(key(generate_key(an_a_nonce), b)) = true__
% 0.19/0.39  	b_holds(key(generate_key(an_a_nonce), a)) = true__
% 0.19/0.39  	f1(true__) = false__
% 0.19/0.39  	f2(b_holds(key(A, a)), A) = true__
% 0.19/0.39  	f2(true__, A) = f1(a_holds(key(A, b)))
% 0.19/0.39  G:
% 0.19/0.39  	true__ = false__
% 0.19/0.39  
% 0.19/0.39  This holds because
% 0.19/0.39  
% 0.19/0.39  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  	a_holds(key(generate_key(an_a_nonce), b)) -> true__
% 0.19/0.39  	b_holds(key(generate_key(an_a_nonce), a)) -> true__
% 0.19/0.39  	f1(a_holds(key(A, b))) -> f2(true__, A)
% 0.19/0.39  	f1(true__) -> false__
% 0.19/0.39  	f2(b_holds(key(A, a)), A) -> true__
% 0.19/0.39  	f2(true__, generate_key(an_a_nonce)) -> false__
% 0.19/0.39  	f2(true__, generate_key(an_a_nonce)) -> true__
% 0.19/0.39  	false__ -> true__
% 0.19/0.39  with the LPO induced by
% 0.19/0.39  	a_holds > f2 > b > f1 > a > an_a_nonce > generate_key > key > b_holds > false__ > true__
% 0.19/0.39  
% 0.19/0.39  % SZS output end Proof
% 0.19/0.39  
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