TSTP Solution File: SWV898-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SWV898-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 12:44:11 EDT 2023

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : CNFRefutation 0.18s
% 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 :    9 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-5 aty)
%            Number of variables   :   12 (;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f556,axiom,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f572,axiom,
    ! [V_h,V_F,T_a,T_b] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
      | ~ c_Finite__Set_Ofinite(V_F,T_a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f586,negated_conjecture,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f1486,plain,
    c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    inference(cnf_transformation,[status(esa)],[f556]) ).

fof(f1512,plain,
    ! [V_F,T_a] :
      ( ! [V_h,T_b] : c_Finite__Set_Ofinite(c_Set_Oimage(V_h,V_F,T_a,T_b),T_b)
      | ~ c_Finite__Set_Ofinite(V_F,T_a) ),
    inference(miniscoping,[status(esa)],[f572]) ).

fof(f1513,plain,
    ! [X0,X1,X2,X3] :
      ( c_Finite__Set_Ofinite(c_Set_Oimage(X0,X1,X2,X3),X3)
      | ~ c_Finite__Set_Ofinite(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f1512]) ).

fof(f1531,plain,
    ~ c_Finite__Set_Ofinite(c_Set_Oimage(c_COMBB(c_Hoare__Mirabelle_OMGT,c_COMBB(c_Option_Othe(tc_Com_Ocom),c_Com_Obody,tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),tc_Com_Ocom,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_Com_Opname),c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),
    inference(cnf_transformation,[status(esa)],[f586]) ).

fof(f1616,plain,
    ~ c_Finite__Set_Ofinite(c_Map_Odom(c_Com_Obody,tc_Com_Opname,tc_Com_Ocom),tc_Com_Opname),
    inference(resolution,[status(thm)],[f1513,f1531]) ).

fof(f1617,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1616,f1486]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV898-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue May 30 11:38:07 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.37  % Drodi V3.5.1
% 0.18/0.40  % Refutation found
% 0.18/0.40  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.40  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.40  % Elapsed time: 0.066365 seconds
% 0.18/0.40  % CPU time: 0.099876 seconds
% 0.18/0.40  % Memory used: 24.425 MB
%------------------------------------------------------------------------------