TSTP Solution File: LCL437-2 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n002.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  : 300s
% DateTime : Wed May 31 12:19:17 EDT 2023

% Result   : Unsatisfiable 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [V_p,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Ofalse,T_a),c_PropLog_Opl_Ofalse,T_a),V_p,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [V_q,V_H,T_a,V_p] :
      ( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
      | c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Opl_Ofalse,t_a),v_pa,t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1,X2] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Ofalse,X1),c_PropLog_Opl_Ofalse,X1),X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    ! [V_q,V_H,T_a] :
      ( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
      | ! [V_p] : c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | c_in(c_PropLog_Opl_Oop_A_N_62(X3,X0,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,c_PropLog_Opl_Ofalse,X2),c_PropLog_Opl_Ofalse,X2),X1,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    inference(resolution,[status(thm)],[f7,f5]) ).

fof(f9,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f4,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL437-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n002.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:01:13 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Drodi V3.5.1
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.020525 seconds
% 0.13/0.36  % CPU time: 0.026317 seconds
% 0.13/0.36  % Memory used: 7.034 MB
%------------------------------------------------------------------------------