TSTP Solution File: LCL446-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : LCL446-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 12:19:20 EDT 2023

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   8 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  12   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    4 (   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   :   48 (;  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1368,axiom,
    ! [V_p,V_q,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_p,T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1369,axiom,
    ! [V_p,V_H,T_a,V_q] :
      ( ~ c_in(V_p,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))
      | c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1370,axiom,
    ! [V_p,V_q,V_r,T_a,V_H] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1371,negated_conjecture,
    ~ 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)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2860,plain,
    ! [X0,X1,X2,X3] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X2),c_PropLog_Othms(X3,X2),tc_PropLog_Opl(X2)),
    inference(cnf_transformation,[status(esa)],[f1368]) ).

fof(f2861,plain,
    ! [V_H,T_a,V_q] :
      ( ! [V_p] :
          ( ~ c_in(V_p,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)) )
      | c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ),
    inference(miniscoping,[status(esa)],[f1369]) ).

fof(f2862,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(X0,X3,X2),c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2))
      | c_in(X3,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) ),
    inference(cnf_transformation,[status(esa)],[f2861]) ).

fof(f2863,plain,
    ! [X0,X1,X2,X3,X4] : c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)),
    inference(cnf_transformation,[status(esa)],[f1370]) ).

fof(f2864,plain,
    ~ 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)),
    inference(cnf_transformation,[status(esa)],[f1371]) ).

fof(f2877,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
      | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
    inference(resolution,[status(thm)],[f2863,f2862]) ).

fof(f2889,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(X1,X2,X3),X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
      | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,X1,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3))
      | c_in(c_PropLog_Opl_Oop_A_N_62(X0,X2,X3),c_PropLog_Othms(X4,X3),tc_PropLog_Opl(X3)) ),
    inference(resolution,[status(thm)],[f2877,f2862]) ).

fof(f2904,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X0,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X1,X0,X2),X3,X2),X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2))
      | c_in(c_PropLog_Opl_Oop_A_N_62(X0,X3,X2),c_PropLog_Othms(X4,X2),tc_PropLog_Opl(X2)) ),
    inference(resolution,[status(thm)],[f2889,f2860]) ).

fof(f2917,plain,
    ! [X0,X1,X2] : c_in(c_PropLog_Opl_Oop_A_N_62(X0,X0,X1),c_PropLog_Othms(X2,X1),tc_PropLog_Opl(X1)),
    inference(resolution,[status(thm)],[f2904,f2860]) ).

fof(f2918,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f2864,f2917]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : LCL446-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.09  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.29  % Computer : n011.cluster.edu
% 0.08/0.29  % Model    : x86_64 x86_64
% 0.08/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29  % Memory   : 8042.1875MB
% 0.08/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.29  % CPULimit : 300
% 0.13/0.29  % WCLimit  : 300
% 0.13/0.29  % DateTime : Tue May 30 09:38:12 EDT 2023
% 0.13/0.29  % CPUTime  : 
% 0.13/0.32  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.59  % Elapsed time: 0.083613 seconds
% 0.13/0.59  % CPU time: 0.052853 seconds
% 0.13/0.59  % Memory used: 6.602 MB
%------------------------------------------------------------------------------