TSTP Solution File: COL085-1 by Moca---0.1

View Problem - Process Solution

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% File     : Moca---0.1
% Problem  : COL085-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n019.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 : Fri Jul 15 00:37:37 EDT 2022

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

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : COL085-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13  % Command  : moca.sh %s
% 0.13/0.34  % Computer : n019.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 May 31 14:22:40 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  	response(a, b) = b
% 0.13/0.38  	response(a, A) = B ==> \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  	f1(B, B) = false__
% 0.13/0.38  	f1(response(a, A), B) = true__
% 0.13/0.38  	response(a, b) = b
% 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  	f1(B, B) -> false__
% 0.13/0.38  	f1(b, Y1) -> true__
% 0.13/0.38  	f1(response(a, A), B) -> true__
% 0.13/0.38  	false__ -> true__
% 0.13/0.38  	response(a, b) -> b
% 0.13/0.38  with the LPO induced by
% 0.13/0.38  	a > f1 > response > b > false__ > true__
% 0.13/0.38  
% 0.13/0.38  % SZS output end Proof
% 0.13/0.38  
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