%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : LCL432-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n020.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 : Sun Jul 17 13:01:15 EDT 2022

% Result   : Unsatisfiable 0.13s 0.41s
% Output   : Proof 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL432-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.14  % Command  : moca.sh %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jul  2 16:45:00 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.41  % SZS status Unsatisfiable
% 0.13/0.41  % SZS output start Proof
% 0.13/0.41  The input problem is unsatisfiable because
% 0.13/0.41  
% 0.13/0.41  [1] the following set of Horn clauses is unsatisfiable:
% 0.13/0.41  
% 0.13/0.41  	c_PropLog_Osat(c_emptyset, v_x, t_a)
% 0.13/0.41  	c_in(v_x, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 0.13/0.41  	c_PropLog_Osat(c_emptyset, V_p, T_a) ==> c_in(V_p, c_PropLog_Othms(c_emptyset, T_a), tc_PropLog_Opl(T_a))
% 0.13/0.41  
% 0.13/0.41  This holds because
% 0.13/0.41  
% 0.13/0.41  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.13/0.41  
% 0.13/0.41  E:
% 0.13/0.41  	c_PropLog_Osat(c_emptyset, v_x, t_a) = true__
% 0.13/0.41  	f1(c_in(v_x, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) = true__
% 0.13/0.41  	f1(true__) = false__
% 0.13/0.41  	f2(c_PropLog_Osat(c_emptyset, V_p, T_a), V_p, T_a) = true__
% 0.13/0.41  	f2(true__, V_p, T_a) = c_in(V_p, c_PropLog_Othms(c_emptyset, T_a), tc_PropLog_Opl(T_a))
% 0.13/0.41  G:
% 0.13/0.41  	true__ = false__
% 0.13/0.41  
% 0.13/0.41  This holds because
% 0.13/0.41  
% 0.13/0.41  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.13/0.41  
% 0.13/0.41  
% 0.13/0.41  	c_PropLog_Osat(c_emptyset, v_x, t_a) -> true__
% 0.13/0.41  	c_in(V_p, c_PropLog_Othms(c_emptyset, T_a), tc_PropLog_Opl(T_a)) -> f2(true__, V_p, T_a)
% 0.13/0.41  	f1(c_in(v_x, c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) -> true__
% 0.13/0.41  	f1(f2(true__, v_x, t_a)) -> true__
% 0.13/0.41  	f1(true__) -> false__
% 0.13/0.41  	f2(c_PropLog_Osat(c_emptyset, V_p, T_a), V_p, T_a) -> true__
% 0.13/0.41  	f2(true__, v_x, t_a) -> true__
% 0.13/0.41  	false__ -> true__
% 0.13/0.41  with the LPO induced by
% 0.13/0.41  	c_in > f2 > c_emptyset > tc_PropLog_Opl > c_PropLog_Othms > f1 > t_a > v_x > c_PropLog_Osat > false__ > true__
% 0.13/0.41  
% 0.13/0.41  % SZS output end Proof
% 0.13/0.41  
%------------------------------------------------------------------------------