TSTP Solution File: LCL440-2 by Moca---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Moca---0.1
% Problem  : LCL440-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : moca.sh %s

% Computer : n006.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 13:01:21 EDT 2022

% Result   : Unsatisfiable 0.17s 0.36s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL440-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : moca.sh %s
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  2 18:58:22 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.36  % SZS status Unsatisfiable
% 0.17/0.36  % SZS output start Proof
% 0.17/0.36  The input problem is unsatisfiable because
% 0.17/0.36  
% 0.17/0.36  [1] the following set of Horn clauses is unsatisfiable:
% 0.17/0.36  
% 0.17/0.36  	c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a)) ==> \bottom
% 0.17/0.36  	c_in(c_PropLog_Opl_Oop_A_N_62(V_p, V_p, T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a))
% 0.17/0.36  
% 0.17/0.36  This holds because
% 0.17/0.36  
% 0.17/0.36  [2] the following E entails the following G (Claessen-Smallbone's transformation (2018)):
% 0.17/0.36  
% 0.17/0.36  E:
% 0.17/0.36  	c_in(c_PropLog_Opl_Oop_A_N_62(V_p, V_p, T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) = true__
% 0.17/0.36  	f1(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) = true__
% 0.17/0.36  	f1(true__) = false__
% 0.17/0.36  G:
% 0.17/0.36  	true__ = false__
% 0.17/0.36  
% 0.17/0.36  This holds because
% 0.17/0.36  
% 0.17/0.36  [3] E entails the following ordered TRS and the lhs and rhs of G join by the TRS:
% 0.17/0.36  
% 0.17/0.36  
% 0.17/0.36  	c_in(c_PropLog_Opl_Oop_A_N_62(V_p, V_p, T_a), c_PropLog_Othms(V_H, T_a), tc_PropLog_Opl(T_a)) -> true__
% 0.17/0.36  	f1(c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ofalse, c_PropLog_Opl_Ofalse, t_a), c_PropLog_Othms(c_emptyset, t_a), tc_PropLog_Opl(t_a))) -> true__
% 0.17/0.36  	f1(true__) -> false__
% 0.17/0.36  	false__ -> true__
% 0.17/0.36  with the LPO induced by
% 0.17/0.36  	tc_PropLog_Opl > c_emptyset > c_PropLog_Othms > t_a > c_PropLog_Opl_Ofalse > c_PropLog_Opl_Oop_A_N_62 > c_in > f1 > false__ > true__
% 0.17/0.36  
% 0.17/0.36  % SZS output end Proof
% 0.17/0.36  
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