%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SYN063-2 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n005.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 09:13:32 EDT 2022

% Result   : Unsatisfiable 0.13s 0.38s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN063-2 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.12  % Command  : moca.sh %s
% 0.13/0.33  % Computer : n005.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
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul 12 03:29:06 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.38  % SZS status Unsatisfiable
% 0.13/0.38  % SZS output start Proof
% 0.13/0.38  The input problem is unsatisfiable because
% 0.13/0.38  
% 0.13/0.38  [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.38  
% 0.13/0.38  	big_p(a) ==> big_p(c)
% 0.13/0.38  	big_p(a)
% 0.13/0.38  	big_p(c) ==> \bottom
% 0.13/0.38  
% 0.13/0.38  This holds because
% 0.13/0.38  
% 0.13/0.38  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.38  
% 0.13/0.38  E:
% 0.13/0.38  	big_p(a) = true__
% 0.13/0.38  	f1(big_p(a)) = true__
% 0.13/0.38  	f1(true__) = big_p(c)
% 0.13/0.38  	f2(big_p(c)) = true__
% 0.13/0.38  	f2(true__) = false__
% 0.13/0.38  G:
% 0.13/0.38  	true__ = false__
% 0.13/0.38  
% 0.13/0.38  This holds because
% 0.13/0.38  
% 0.13/0.38  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.38  
% 0.13/0.38  
% 0.13/0.38  	big_p(a) -> true__
% 0.13/0.38  	big_p(c) -> true__
% 0.13/0.38  	f1(big_p(a)) -> true__
% 0.13/0.38  	f1(true__) -> big_p(c)
% 0.13/0.38  	f2(big_p(c)) -> true__
% 0.13/0.38  	f2(true__) -> false__
% 0.13/0.38  	false__ -> true__
% 0.13/0.38  with the LPO induced by
% 0.13/0.38  	f2 > a > f1 > c > big_p > false__ > true__
% 0.13/0.38  
% 0.13/0.38  % SZS output end Proof
% 0.13/0.38  
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