%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n001.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 12:04:08 EDT 2023

% Result   : Theorem 0.18s 0.37s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :   33 (  22 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   30 (  12   ~;   6   |;   8   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :   45 (;  35   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f38,axiom,
    ! [VExp0] : vnoExp != vsomeExp(VExp0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f43,axiom,
    ! [Vx,VS,Ve,VExp0,RESULT] :
      ( VExp0 = vabs(Vx,VS,Ve)
     => ( RESULT = vreduce(VExp0)
       => RESULT = vnoExp ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,conjecture,
    ! [Vx,VS,VC,Veout,VT] :
      ( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
        & vtcheck(VC,vabs(Vx,VS,ve1),VT) )
     => vtcheck(VC,Veout,VT) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f61,negated_conjecture,
    ~ ! [Vx,VS,VC,Veout,VT] :
        ( ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
          & vtcheck(VC,vabs(Vx,VS,ve1),VT) )
       => vtcheck(VC,Veout,VT) ),
    inference(negated_conjecture,[status(cth)],[f60]) ).

fof(f187,plain,
    ! [X0] : vnoExp != vsomeExp(X0),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f199,plain,
    ! [Vx,VS,Ve,VExp0,RESULT] :
      ( VExp0 != vabs(Vx,VS,Ve)
      | RESULT != vreduce(VExp0)
      | RESULT = vnoExp ),
    inference(pre_NNF_transformation,[status(esa)],[f43]) ).

fof(f200,plain,
    ! [VExp0] :
      ( ! [Vx,VS,Ve] : VExp0 != vabs(Vx,VS,Ve)
      | ! [RESULT] :
          ( RESULT != vreduce(VExp0)
          | RESULT = vnoExp ) ),
    inference(miniscoping,[status(esa)],[f199]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3,X4] :
      ( X0 != vabs(X1,X2,X3)
      | X4 != vreduce(X0)
      | X4 = vnoExp ),
    inference(cnf_transformation,[status(esa)],[f200]) ).

fof(f263,plain,
    ? [Vx,VS,VC,Veout,VT] :
      ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
      & vtcheck(VC,vabs(Vx,VS,ve1),VT)
      & ~ vtcheck(VC,Veout,VT) ),
    inference(pre_NNF_transformation,[status(esa)],[f61]) ).

fof(f264,plain,
    ? [VC,Veout,VT] :
      ( ? [Vx,VS] :
          ( vreduce(vabs(Vx,VS,ve1)) = vsomeExp(Veout)
          & vtcheck(VC,vabs(Vx,VS,ve1),VT) )
      & ~ vtcheck(VC,Veout,VT) ),
    inference(miniscoping,[status(esa)],[f263]) ).

fof(f265,plain,
    ( vreduce(vabs(sk0_24,sk0_25,ve1)) = vsomeExp(sk0_22)
    & vtcheck(sk0_21,vabs(sk0_24,sk0_25,ve1),sk0_23)
    & ~ vtcheck(sk0_21,sk0_22,sk0_23) ),
    inference(skolemization,[status(esa)],[f264]) ).

fof(f266,plain,
    vreduce(vabs(sk0_24,sk0_25,ve1)) = vsomeExp(sk0_22),
    inference(cnf_transformation,[status(esa)],[f265]) ).

fof(f425,plain,
    ! [X0,X1,X2] : vreduce(vabs(X0,X1,X2)) = vnoExp,
    inference(destructive_equality_resolution,[status(esa)],[f201]) ).

fof(f437,plain,
    vnoExp = vsomeExp(sk0_22),
    inference(backward_demodulation,[status(thm)],[f425,f266]) ).

fof(f438,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f437,f187]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : COM144+1 : TPTP v8.1.2. Released v6.4.0.
% 0.03/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n001.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 12:19:30 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % Drodi V3.5.1
% 0.18/0.37  % Refutation found
% 0.18/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.37  % Elapsed time: 0.032067 seconds
% 0.18/0.37  % CPU time: 0.049746 seconds
% 0.18/0.37  % Memory used: 16.043 MB
%------------------------------------------------------------------------------