%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n027.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 03:44:56 EDT 2022

% Result   : Unsatisfiable 0.63s 0.79s
% Output   : Proof 0.63s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SET828-2 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.12  % Command  : moca.sh %s
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jul  9 17:17:02 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.63/0.79  % SZS status Unsatisfiable
% 0.63/0.79  % SZS output start Proof
% 0.63/0.79  The input problem is unsatisfiable because
% 0.63/0.79  
% 0.63/0.79  [1] the following set of Horn clauses is unsatisfiable:
% 0.63/0.79  
% 0.63/0.79  	c_in(V_c, V_A, T_a) & c_lessequals(V_A, V_B, tc_set(T_a)) ==> c_in(V_c, V_B, T_a)
% 0.63/0.79  	c_lessequals(v_X, v_Y, tc_set(t_a))
% 0.63/0.79  	c_in(v_x, v_X, t_a)
% 0.63/0.79  	c_in(v_x, v_Y, t_a) ==> \bottom
% 0.63/0.79  
% 0.63/0.79  This holds because
% 0.63/0.79  
% 0.63/0.79  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.63/0.79  
% 0.63/0.79  E:
% 0.63/0.79  	c_in(v_x, v_X, t_a) = true__
% 0.63/0.79  	c_lessequals(v_X, v_Y, tc_set(t_a)) = true__
% 0.63/0.79  	f1(true__, V_c, V_B, T_a) = c_in(V_c, V_B, T_a)
% 0.63/0.79  	f2(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) = true__
% 0.63/0.79  	f2(true__, V_c, V_A, T_a, V_B) = f1(c_in(V_c, V_A, T_a), V_c, V_B, T_a)
% 0.63/0.79  	f3(c_in(v_x, v_Y, t_a)) = true__
% 0.63/0.79  	f3(true__) = false__
% 0.63/0.79  G:
% 0.63/0.79  	true__ = false__
% 0.63/0.79  
% 0.63/0.79  This holds because
% 0.63/0.79  
% 0.63/0.79  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.63/0.79  
% 0.63/0.79  
% 0.63/0.79  	c_in(V_c, V_B, T_a) -> f1(true__, V_c, V_B, T_a)
% 0.63/0.79  	c_in(v_x, Y3, t_a) -> f2(true__, v_x, v_X, t_a, Y3)
% 0.63/0.79  	c_lessequals(v_X, v_Y, tc_set(t_a)) -> true__
% 0.63/0.79  	f1(f1(true__, Y3, v_X, t_a), Y3, v_Y, t_a) -> true__
% 0.63/0.79  	f1(true__, v_x, v_X, t_a) -> true__
% 0.63/0.79  	f2(c_lessequals(V_A, V_B, tc_set(T_a)), V_c, V_A, T_a, V_B) -> true__
% 0.63/0.79  	f2(true__, V_c, V_A, T_a, V_B) -> f1(f1(true__, V_c, V_A, T_a), V_c, V_B, T_a)
% 0.63/0.79  	f2(true__, v_x, v_X, t_a, v_X) -> true__
% 0.63/0.79  	f3(c_in(v_x, v_Y, t_a)) -> true__
% 0.63/0.79  	f3(f1(true__, v_x, v_Y, t_a)) -> true__
% 0.63/0.79  	f3(true__) -> false__
% 0.63/0.79  	false__ -> true__
% 0.63/0.79  with the LPO induced by
% 0.63/0.79  	v_Y > v_x > c_lessequals > v_X > c_in > f2 > f1 > f3 > tc_set > t_a > false__ > true__
% 0.63/0.79  
% 0.63/0.79  % SZS output end Proof
% 0.63/0.79  
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