TSTP Solution File: COM009-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n025.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 12:03:53 EDT 2023

% Result   : Unsatisfiable 0.18s 0.60s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (   3 unt;   0 def)
%            Number of atoms       :   40 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  16   ~;  17   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1360,axiom,
    ! [V_F,T_a] :
      ( ~ c_UNITY_Oall__total(V_F,T_a)
      | c_UNITY_Ototalize(V_F,T_a) = V_F ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1361,axiom,
    ! [V_F,T_a] : c_UNITY_Oall__total(c_UNITY_Ototalize(V_F,T_a),T_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1370,negated_conjecture,
    ( c_UNITY_Ototalize(v_F,t_a) != v_F
    | ~ c_UNITY_Oall__total(v_F,t_a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f1371,negated_conjecture,
    ( c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) = v_F ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2849,plain,
    ! [X0,X1] :
      ( ~ c_UNITY_Oall__total(X0,X1)
      | c_UNITY_Ototalize(X0,X1) = X0 ),
    inference(cnf_transformation,[status(esa)],[f1360]) ).

fof(f2850,plain,
    ! [X0,X1] : c_UNITY_Oall__total(c_UNITY_Ototalize(X0,X1),X1),
    inference(cnf_transformation,[status(esa)],[f1361]) ).

fof(f2861,plain,
    ( c_UNITY_Ototalize(v_F,t_a) != v_F
    | ~ c_UNITY_Oall__total(v_F,t_a) ),
    inference(cnf_transformation,[status(esa)],[f1370]) ).

fof(f2862,plain,
    ( c_UNITY_Oall__total(v_F,t_a)
    | c_UNITY_Ototalize(v_F,t_a) = v_F ),
    inference(cnf_transformation,[status(esa)],[f1371]) ).

fof(f2863,plain,
    ( spl0_0
  <=> c_UNITY_Ototalize(v_F,t_a) = v_F ),
    introduced(split_symbol_definition) ).

fof(f2864,plain,
    ( c_UNITY_Ototalize(v_F,t_a) = v_F
    | ~ spl0_0 ),
    inference(component_clause,[status(thm)],[f2863]) ).

fof(f2865,plain,
    ( c_UNITY_Ototalize(v_F,t_a) != v_F
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f2863]) ).

fof(f2866,plain,
    ( spl0_1
  <=> c_UNITY_Oall__total(v_F,t_a) ),
    introduced(split_symbol_definition) ).

fof(f2867,plain,
    ( c_UNITY_Oall__total(v_F,t_a)
    | ~ spl0_1 ),
    inference(component_clause,[status(thm)],[f2866]) ).

fof(f2869,plain,
    ( ~ spl0_0
    | ~ spl0_1 ),
    inference(split_clause,[status(thm)],[f2861,f2863,f2866]) ).

fof(f2870,plain,
    ( spl0_1
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f2862,f2866,f2863]) ).

fof(f2873,plain,
    ( ~ c_UNITY_Oall__total(v_F,t_a)
    | spl0_0 ),
    inference(resolution,[status(thm)],[f2865,f2849]) ).

fof(f2874,plain,
    ( $false
    | ~ spl0_1
    | spl0_0 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2873,f2867]) ).

fof(f2875,plain,
    ( ~ spl0_1
    | spl0_0 ),
    inference(contradiction_clause,[status(thm)],[f2874]) ).

fof(f2881,plain,
    ( c_UNITY_Oall__total(v_F,t_a)
    | ~ spl0_0 ),
    inference(paramodulation,[status(thm)],[f2864,f2850]) ).

fof(f2882,plain,
    ( spl0_1
    | ~ spl0_0 ),
    inference(split_clause,[status(thm)],[f2881,f2866,f2863]) ).

fof(f2883,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f2869,f2870,f2875,f2882]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : COM009-1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue May 30 11:59:57 EDT 2023
% 0.13/0.33  % CPUTime  : 
% 0.13/0.37  % Drodi V3.5.1
% 0.18/0.60  % Refutation found
% 0.18/0.60  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.60  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.60  % Elapsed time: 0.052938 seconds
% 0.18/0.60  % CPU time: 0.101991 seconds
% 0.18/0.60  % Memory used: 25.972 MB
%------------------------------------------------------------------------------