%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SWV269-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n032.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 20:42:33 EDT 2022

% Result   : Unsatisfiable 0.15s 0.34s
% Output   : Proof 0.15s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : SWV269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.10  % Command  : moca.sh %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Thu Jun 16 01:46:44 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.34  % SZS status Unsatisfiable
% 0.15/0.34  % SZS output start Proof
% 0.15/0.34  The input problem is unsatisfiable because
% 0.15/0.34  
% 0.15/0.34  [1] the following set of Horn clauses is unsatisfiable:
% 0.15/0.34  
% 0.15/0.34  	c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg)
% 0.15/0.34  	c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg) ==> \bottom
% 0.15/0.34  	c_in(V_c, V_B, T_a) ==> c_in(V_c, c_union(V_A, V_B, T_a), T_a)
% 0.15/0.34  
% 0.15/0.34  This holds because
% 0.15/0.34  
% 0.15/0.34  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.15/0.34  
% 0.15/0.34  E:
% 0.15/0.34  	c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg) = true__
% 0.15/0.34  	f1(c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg)) = true__
% 0.15/0.34  	f1(true__) = false__
% 0.15/0.34  	f2(c_in(V_c, V_B, T_a), V_c, V_A, V_B, T_a) = true__
% 0.15/0.34  	f2(true__, V_c, V_A, V_B, T_a) = c_in(V_c, c_union(V_A, V_B, T_a), T_a)
% 0.15/0.34  G:
% 0.15/0.34  	true__ = false__
% 0.15/0.34  
% 0.15/0.34  This holds because
% 0.15/0.34  
% 0.15/0.34  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.15/0.34  
% 0.15/0.34  
% 0.15/0.34  	c_in(V_c, c_union(V_A, V_B, T_a), T_a) -> f2(true__, V_c, V_A, V_B, T_a)
% 0.15/0.34  	c_in(v_X, c_Message_Osynth(v_H), tc_Message_Omsg) -> true__
% 0.15/0.34  	f1(c_in(v_X, c_union(c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg)) -> true__
% 0.15/0.34  	f1(f2(true__, v_X, c_Message_Oparts(v_H), c_Message_Osynth(v_H), tc_Message_Omsg)) -> true__
% 0.15/0.34  	f1(true__) -> false__
% 0.15/0.34  	f2(c_in(V_c, V_B, T_a), V_c, V_A, V_B, T_a) -> true__
% 0.15/0.34  	f2(f2(true__, Y0, X1, X2, Y2), Y0, Y3, c_union(X1, X2, Y2), Y2) -> true__
% 0.15/0.34  	f2(true__, v_X, Y3, c_Message_Osynth(v_H), tc_Message_Omsg) -> true__
% 0.15/0.34  	f2(true__, v_X, Y4, c_union(Y1, c_Message_Osynth(v_H), tc_Message_Omsg), tc_Message_Omsg) -> true__
% 0.15/0.34  	false__ -> true__
% 0.15/0.34  with the LPO induced by
% 0.15/0.34  	c_in > f2 > c_Message_Oparts > c_union > f1 > tc_Message_Omsg > v_H > c_Message_Osynth > v_X > false__ > true__
% 0.15/0.34  
% 0.15/0.34  % SZS output end Proof
% 0.15/0.34  
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