%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 : Tue Apr 30 20:50:01 EDT 2024

% Result   : Theorem 0.70s 1.01s
% Output   : CNFRefutation 0.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   20 (  11   ~;   7   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
      ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
     => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
       => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5226,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5230,hypothesis,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5231,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5232,negated_conjecture,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(negated_conjecture,[status(cth)],[f5231]) ).

fof(f5241,plain,
    ! [V_G_2,V_tsa_2,V_G_Ha_2,T_b] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
      | c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f5242,plain,
    ! [V_tsa_2,V_G_Ha_2,T_b] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_Ha_2,V_tsa_2)
      | ! [V_G_2] :
          ( ~ c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_G_Ha_2)
          | c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_2,V_tsa_2) ) ),
    inference(miniscoping,[status(esa)],[f5241]) ).

fof(f5243,plain,
    ! [X0,X1,X2,X3] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X1,X2)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X1)
      | c_Hoare__Mirabelle_Ohoare__derivs(X0,X3,X2) ),
    inference(cnf_transformation,[status(esa)],[f5242]) ).

fof(f20154,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(cnf_transformation,[status(esa)],[f5226]) ).

fof(f20159,plain,
    c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_G_H),
    inference(cnf_transformation,[status(esa)],[f5230]) ).

fof(f20160,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,v_ts),
    inference(cnf_transformation,[status(esa)],[f5232]) ).

fof(f20945,plain,
    ! [X0] :
      ( ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,X0,v_ts)
      | ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_Ga,X0) ),
    inference(resolution,[status(thm)],[f5243,f20160]) ).

fof(f20947,plain,
    ~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G_H,v_ts),
    inference(resolution,[status(thm)],[f20945,f20159]) ).

fof(f20948,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f20947,f20154]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWW314+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n031.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 23:43:58 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.63/0.80  % Drodi V3.6.0
% 0.70/1.01  % Refutation found
% 0.70/1.01  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.70/1.01  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.70/1.04  % Elapsed time: 0.682790 seconds
% 0.70/1.04  % CPU time: 1.854158 seconds
% 0.70/1.04  % Total memory used: 625.782 MB
% 0.70/1.04  % Net memory used: 622.734 MB
%------------------------------------------------------------------------------