%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SET856-2 : 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 : Tue Jul 19 03:45:16 EDT 2022

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET856-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : moca.sh %s
% 0.15/0.36  % Computer : n014.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 600
% 0.15/0.36  % DateTime : Mon Jul 11 06:05:34 EDT 2022
% 0.15/0.36  % CPUTime  : 
% 0.22/0.41  % SZS status Unsatisfiable
% 0.22/0.41  % SZS output start Proof
% 0.22/0.41  The input problem is unsatisfiable because
% 0.22/0.41  
% 0.22/0.41  [1] the following set of Horn clauses is unsatisfiable:
% 0.22/0.41  
% 0.22/0.41  	c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a)))
% 0.22/0.41  	c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) ==> \bottom
% 0.22/0.41  
% 0.22/0.41  This holds because
% 0.22/0.41  
% 0.22/0.41  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.22/0.41  
% 0.22/0.41  E:
% 0.22/0.41  	c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) = true__
% 0.22/0.41  	f1(c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a)))) = true__
% 0.22/0.41  	f1(true__) = false__
% 0.22/0.41  G:
% 0.22/0.41  	true__ = false__
% 0.22/0.41  
% 0.22/0.41  This holds because
% 0.22/0.41  
% 0.22/0.41  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.22/0.41  
% 0.22/0.41  
% 0.22/0.41  	c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a))) -> true__
% 0.22/0.41  	f1(c_lessequals(c_Zorn_Osucc(v_S, v_n, t_a), c_Union(v_Y, tc_set(t_a)), tc_set(tc_set(t_a)))) -> true__
% 0.22/0.41  	f1(true__) -> false__
% 0.22/0.41  	false__ -> true__
% 0.22/0.41  with the LPO induced by
% 0.22/0.41  	f1 > tc_set > v_Y > c_Union > t_a > v_n > v_S > c_Zorn_Osucc > c_lessequals > false__ > true__
% 0.22/0.41  
% 0.22/0.41  % SZS output end Proof
% 0.22/0.41  
%------------------------------------------------------------------------------