TSTP Solution File: SWV341-2 by Moca---0.1

View Problem - Process Solution

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% File     : Moca---0.1
% Problem  : SWV341-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n014.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 20:43:20 EDT 2022

% Result   : Unsatisfiable 0.80s 0.93s
% Output   : Proof 0.80s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV341-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : moca.sh %s
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Thu Jun 16 05:45:50 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.80/0.93  % SZS status Unsatisfiable
% 0.80/0.93  % SZS output start Proof
% 0.80/0.93  The input problem is unsatisfiable because
% 0.80/0.93  
% 0.80/0.93  [1] the following set of Horn clauses is unsatisfiable:
% 0.80/0.93  
% 0.80/0.93  	c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg) ==> \bottom
% 0.80/0.93  	c_in(c_Message_Omsg_OKey(v_K), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg)
% 0.80/0.93  	c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg) ==> c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)
% 0.80/0.93  	c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg) ==> c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.80/0.93  
% 0.80/0.93  This holds because
% 0.80/0.93  
% 0.80/0.93  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.80/0.93  
% 0.80/0.93  E:
% 0.80/0.93  	c_in(c_Message_Omsg_OKey(v_K), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) = true__
% 0.80/0.93  	f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) = true__
% 0.80/0.93  	f1(true__) = false__
% 0.80/0.93  	f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) = true__
% 0.80/0.93  	f2(true__, V_c, V_evs) = c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg)
% 0.80/0.93  	f3(c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg), V_X, V_H) = true__
% 0.80/0.93  	f3(true__, V_X, V_H) = c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg)
% 0.80/0.93  G:
% 0.80/0.93  	true__ = false__
% 0.80/0.93  
% 0.80/0.93  This holds because
% 0.80/0.93  
% 0.80/0.93  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.80/0.93  
% 0.80/0.93  
% 0.80/0.93  	c_in(V_X, c_Message_Oparts(V_H), tc_Message_Omsg) -> f3(true__, V_X, V_H)
% 0.80/0.93  	c_in(V_c, c_Event_Oused(V_evs), tc_Message_Omsg) -> f2(true__, V_c, V_evs)
% 0.80/0.93  	c_in(c_Message_Omsg_OKey(v_K), c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)), tc_Message_Omsg) -> true__
% 0.80/0.93  	f1(c_in(c_Message_Omsg_OKey(v_K), c_Event_Oused(v_evs3), tc_Message_Omsg)) -> true__
% 0.80/0.93  	f1(f2(true__, c_Message_Omsg_OKey(v_K), v_evs3)) -> true__
% 0.80/0.93  	f1(true__) -> false__
% 0.80/0.93  	f2(c_in(V_c, c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy, V_evs)), tc_Message_Omsg), V_c, V_evs) -> true__
% 0.80/0.93  	f2(f3(true__, Y0, c_Event_Oknows(c_Message_Oagent_OSpy, Y1)), Y0, Y1) -> true__
% 0.80/0.93  	f2(true__, c_Message_Omsg_OKey(v_K), v_evs3) -> true__
% 0.80/0.93  	f3(c_in(V_X, c_Message_Oanalz(V_H), tc_Message_Omsg), V_X, V_H) -> true__
% 0.80/0.93  	f3(true__, c_Message_Omsg_OKey(v_K), c_Event_Oknows(c_Message_Oagent_OSpy, v_evs3)) -> true__
% 0.80/0.93  	false__ -> true__
% 0.80/0.93  with the LPO induced by
% 0.80/0.93  	c_in > f3 > c_Message_Oparts > f2 > tc_Message_Omsg > c_Message_Oagent_OSpy > c_Event_Oknows > c_Message_Oanalz > v_evs3 > c_Event_Oused > v_K > c_Message_Omsg_OKey > f1 > false__ > true__
% 0.80/0.93  
% 0.80/0.93  % SZS output end Proof
% 0.80/0.93  
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