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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SWV184+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n022.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  : 600s
% DateTime : Wed Jul 20 17:46:08 EDT 2022

% Result   : Theorem 8.36s 2.41s
% Output   : CNFRefutation 8.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   15 (   6 unt;   0 def)
%            Number of atoms       :  132 (  30 equ)
%            Maximal formula atoms :   31 (   8 avg)
%            Number of connectives :  151 (  34   ~;  31   |;  50   &)
%                                         (   1 <=>;  35  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0096,conjecture,
    ( ( gt(loopcounter,n1)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select3(center_init,X20,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(muold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(rhoold_init,X22) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(sigmaold_init,X28) = init ) ) )
   => ! [X29] :
        ( ( leq(n0,X29)
          & leq(X29,n4) )
       => a_select2(sigmaold_init,X29) = init ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0096) ).

fof(c_0_1,plain,
    ( epred2_0
  <=> ( gt(loopcounter,n1)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select3(center_init,X20,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(muold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(rhoold_init,X22) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(sigmaold_init,X28) = init ) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred2_0
   => ( gt(loopcounter,n1)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select3(center_init,X20,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(muold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(rhoold_init,X22) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(sigmaold_init,X28) = init ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred2_0
     => ! [X29] :
          ( ( leq(n0,X29)
            & leq(X29,n4) )
         => a_select2(sigmaold_init,X29) = init ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0096]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X203,X204,X205,X206,X207,X208,X209] :
      ( ( gt(loopcounter,n1)
        | ~ epred2_0 )
      & ( ~ leq(n0,X203)
        | ~ leq(X203,n135299)
        | ~ leq(n0,X204)
        | ~ leq(X204,n4)
        | a_select3(q_init,X203,X204) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X205)
        | ~ leq(X205,n4)
        | a_select2(rho_init,X205) = init
        | ~ epred2_0 )
      & ( ~ leq(n0,X206)
        | ~ leq(X206,n4)
        | a_select3(center_init,X206,n0) = init
        | ~ epred2_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X207)
        | ~ leq(X207,n4)
        | a_select2(muold_init,X207) = init
        | ~ epred2_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X208)
        | ~ leq(X208,n4)
        | a_select2(rhoold_init,X208) = init
        | ~ epred2_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X209)
        | ~ leq(X209,n4)
        | a_select2(sigmaold_init,X209) = init
        | ~ epred2_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred2_0
    & leq(n0,esk24_0)
    & leq(esk24_0,n4)
    & a_select2(sigmaold_init,esk24_0) != init ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6,plain,
    ( gt(loopcounter,n1)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( a_select2(sigmaold_init,X1) = init
    | ~ gt(loopcounter,n1)
    | ~ leq(n0,X1)
    | ~ leq(X1,n4)
    | ~ epred2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    gt(loopcounter,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,plain,
    ( a_select2(sigmaold_init,X1) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7]),c_0_9])]) ).

cnf(c_0_11,negated_conjecture,
    leq(esk24_0,n4),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    leq(n0,esk24_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    a_select2(sigmaold_init,esk24_0) != init,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV184+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n022.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  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 09:49:05 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.45  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.36/2.41  # ENIGMATIC: Solved by autoschedule:
% 8.36/2.41  # No SInE strategy applied
% 8.36/2.41  # Trying AutoSched0 for 150 seconds
% 8.36/2.41  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S059I
% 8.36/2.41  # and selection function SelectComplexExceptUniqMaxPosHorn.
% 8.36/2.41  #
% 8.36/2.41  # Preprocessing time       : 0.019 s
% 8.36/2.41  # Presaturation interreduction done
% 8.36/2.41  
% 8.36/2.41  # Proof found!
% 8.36/2.41  # SZS status Theorem
% 8.36/2.41  # SZS output start CNFRefutation
% See solution above
% 8.36/2.41  # Training examples: 0 positive, 0 negative
% 8.36/2.41  
% 8.36/2.41  # -------------------------------------------------
% 8.36/2.41  # User time                : 0.031 s
% 8.36/2.41  # System time              : 0.006 s
% 8.36/2.41  # Total time               : 0.037 s
% 8.36/2.41  # Maximum resident set size: 7116 pages
% 8.36/2.41  
%------------------------------------------------------------------------------