%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL440-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Sep 7 12:42:42 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.36s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 4 ( 4 unt; 0 nHn; 3 RR)
% Number of literals : 4 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-3 aty)
% Number of variables : 3 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 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)) ).
cnf(cls_PropLog_Othms__I_0,axiom,
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)) ).
cnf(refute_0_0,plain,
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)),
inference(subst,[],[cls_PropLog_Othms__I_0:[bind(T_a,$fot(t_a)),bind(V_H,$fot(c_emptyset)),bind(V_p,$fot(c_PropLog_Opl_Ofalse))]]) ).
cnf(refute_0_1,plain,
$false,
inference(resolve,[$cnf( 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)) )],[refute_0_0,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL440-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : metis --show proof --show saturation %s
% 0.10/0.35 % Computer : n001.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 4 15:54:29 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.10/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36
% 0.10/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.10/0.36
%------------------------------------------------------------------------------