TSTP Solution File: SWV264-2 by Moca---0.1

View Problem - Process Solution

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% File     : Moca---0.1
% Problem  : SWV264-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n023.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 20:42:29 EDT 2022

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV264-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : moca.sh %s
% 0.12/0.34  % Computer : n023.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 : Tue Jun 14 21:26:35 EDT 2022
% 0.12/0.35  % CPUTime  : 
% 0.20/0.40  % SZS status Unsatisfiable
% 0.20/0.40  % SZS output start Proof
% 0.20/0.40  The input problem is unsatisfiable because
% 0.20/0.40  
% 0.20/0.40  [1] the following set of Horn clauses is unsatisfiable:
% 0.20/0.40  
% 0.20/0.40  	c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(v_H), tc_Message_Omsg)
% 0.20/0.40  	c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg) ==> \bottom
% 0.20/0.40  	c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.20/0.40  
% 0.20/0.40  This holds because
% 0.20/0.40  
% 0.20/0.40  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.20/0.40  
% 0.20/0.40  E:
% 0.20/0.40  	c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(v_H), tc_Message_Omsg) = true__
% 0.20/0.40  	f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) = true__
% 0.20/0.40  	f1(true__) = false__
% 0.20/0.40  	f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) = true__
% 0.20/0.40  	f2(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.20/0.40  G:
% 0.20/0.40  	true__ = false__
% 0.20/0.40  
% 0.20/0.40  This holds because
% 0.20/0.40  
% 0.20/0.40  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.20/0.40  
% 0.20/0.40  
% 0.20/0.40  	c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) -> f2(true__, V_X, V_H)
% 0.20/0.40  	c_in(c_Message_Omsg_OMPair(v_X, v_Y), c_Message_Oparts(v_H), tc_Message_Omsg) -> true__
% 0.20/0.40  	f1(c_in(v_X, c_Message_Oparts(v_H), tc_Message_Omsg)) -> true__
% 0.20/0.40  	f1(f2(true__, v_X, v_H)) -> true__
% 0.20/0.40  	f1(true__) -> false__
% 0.20/0.40  	f2(c_in(c_Message_Omsg_OMPair(V_X, V_Y), c_Message_Oparts(V_H), tc_Message_Omsg), V_X, V_H) -> true__
% 0.20/0.40  	f2(f2(true__, c_Message_Omsg_OMPair(Y0, Y1), Y2), Y0, Y2) -> true__
% 0.20/0.40  	f2(true__, c_Message_Omsg_OMPair(v_X, v_Y), v_H) -> true__
% 0.20/0.40  	f2(true__, v_X, v_H) -> true__
% 0.20/0.40  	false__ -> true__
% 0.20/0.40  with the LPO induced by
% 0.20/0.40  	c_in > f2 > tc_Message_Omsg > f1 > v_H > c_Message_Oparts > v_Y > v_X > c_Message_Omsg_OMPair > false__ > true__
% 0.20/0.40  
% 0.20/0.40  % SZS output end Proof
% 0.20/0.40  
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