TSTP Solution File: SWV153+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n005.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 Aug 31 18:55:40 EDT 2022

% Result   : Theorem 1.75s 0.60s
% Output   : Refutation 1.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   63 (  30 unt;   0 def)
%            Number of atoms       :  206 (  77 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  208 (  65   ~;  46   |;  77   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   33 (  33 usr;  25 con; 0-3 aty)
%            Number of variables   :   47 (  43   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1003,plain,
    $false,
    inference(avatar_sat_refutation,[],[f926,f1002]) ).

fof(f1002,plain,
    spl46_37,
    inference(avatar_contradiction_clause,[],[f1001]) ).

fof(f1001,plain,
    ( $false
    | spl46_37 ),
    inference(subsumption_resolution,[],[f1000,f921]) ).

fof(f921,plain,
    ( ~ leq(sK11,sF38)
    | spl46_37 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f919,plain,
    ( spl46_37
  <=> leq(sK11,sF38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_37])]) ).

fof(f1000,plain,
    leq(sK11,sF38),
    inference(forward_demodulation,[],[f998,f445]) ).

fof(f445,plain,
    minus(pv12,n1) = sF38,
    introduced(function_definition,[]) ).

fof(f998,plain,
    leq(sK11,minus(pv12,n1)),
    inference(resolution,[],[f709,f408]) ).

fof(f408,plain,
    ! [X0,X1] :
      ( ~ gt(X0,X1)
      | leq(X1,minus(X0,n1)) ),
    inference(definition_unfolding,[],[f276,f304]) ).

fof(f304,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f276,plain,
    ! [X0,X1] :
      ( leq(X1,pred(X0))
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ! [X0,X1] :
      ( ( leq(X1,pred(X0))
        | ~ gt(X0,X1) )
      & ( gt(X0,X1)
        | ~ leq(X1,pred(X0)) ) ),
    inference(rectify,[],[f198]) ).

fof(f198,plain,
    ! [X1,X0] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X1,X0] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f709,plain,
    gt(pv12,sK11),
    inference(subsumption_resolution,[],[f699,f298]) ).

fof(f298,plain,
    pv12 != sK11,
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ( leq(n0,pv12)
    & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
    & leq(pv12,n4)
    & leq(n0,pv10)
    & ! [X0] :
        ( ~ leq(n0,X0)
        | a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
        | ~ leq(X0,pred(pv12)) )
    & pv12 != sK11
    & leq(sK11,pv12)
    & leq(n0,sK11)
    & divide(sqrt(times(minus(a_select3(center,sK11,n0),a_select2(x,pv10)),minus(a_select3(center,sK11,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,sK11)
    & ! [X2] :
        ( ~ leq(X2,pred(pv10))
        | ~ leq(n0,X2)
        | n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) )
    & leq(pv10,n135299) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f205,f206]) ).

fof(f206,plain,
    ( ? [X1] :
        ( pv12 != X1
        & leq(X1,pv12)
        & leq(n0,X1)
        & divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,X1) )
   => ( pv12 != sK11
      & leq(sK11,pv12)
      & leq(n0,sK11)
      & divide(sqrt(times(minus(a_select3(center,sK11,n0),a_select2(x,pv10)),minus(a_select3(center,sK11,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,sK11) ) ),
    introduced(choice_axiom,[]) ).

fof(f205,plain,
    ( leq(n0,pv12)
    & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
    & leq(pv12,n4)
    & leq(n0,pv10)
    & ! [X0] :
        ( ~ leq(n0,X0)
        | a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
        | ~ leq(X0,pred(pv12)) )
    & ? [X1] :
        ( pv12 != X1
        & leq(X1,pv12)
        & leq(n0,X1)
        & divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,X1) )
    & ! [X2] :
        ( ~ leq(X2,pred(pv10))
        | ~ leq(n0,X2)
        | n1 = sum(n0,n4,a_select3(q,X2,tptp_sum_index)) )
    & leq(pv10,n135299) ),
    inference(rectify,[],[f169]) ).

fof(f169,plain,
    ( leq(n0,pv12)
    & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
    & leq(pv12,n4)
    & leq(n0,pv10)
    & ! [X1] :
        ( ~ leq(n0,X1)
        | divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
        | ~ leq(X1,pred(pv12)) )
    & ? [X2] :
        ( pv12 != X2
        & leq(X2,pv12)
        & leq(n0,X2)
        & a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) )
    & ! [X0] :
        ( ~ leq(X0,pred(pv10))
        | ~ leq(n0,X0)
        | n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) )
    & leq(pv10,n135299) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ( ? [X2] :
        ( a_select3(q,pv10,X2) != divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
        & pv12 != X2
        & leq(X2,pv12)
        & leq(n0,X2) )
    & ! [X1] :
        ( divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1)
        | ~ leq(X1,pred(pv12))
        | ~ leq(n0,X1) )
    & leq(n0,pv10)
    & leq(pv12,n4)
    & leq(pv10,n135299)
    & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
    & leq(n0,pv12)
    & ! [X0] :
        ( n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index))
        | ~ leq(n0,X0)
        | ~ leq(X0,pred(pv10)) ) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ~ ( ( ! [X1] :
            ( ( leq(X1,pred(pv12))
              & leq(n0,X1) )
           => divide(sqrt(times(minus(a_select3(center,X1,n0),a_select2(x,pv10)),minus(a_select3(center,X1,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) = a_select3(q,pv10,X1) )
        & leq(n0,pv10)
        & leq(pv12,n4)
        & leq(pv10,n135299)
        & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
        & leq(n0,pv12)
        & ! [X0] :
            ( ( leq(n0,X0)
              & leq(X0,pred(pv10)) )
           => n1 = sum(n0,n4,a_select3(q,X0,tptp_sum_index)) ) )
     => ! [X2] :
          ( ( leq(X2,pv12)
            & leq(n0,X2) )
         => ( pv12 != X2
           => a_select3(q,pv10,X2) = divide(sqrt(times(minus(a_select3(center,X2,n0),a_select2(x,pv10)),minus(a_select3(center,X2,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X17] :
            ( ( leq(X17,pred(pv10))
              & leq(n0,X17) )
           => n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
        & leq(pv10,n135299)
        & leq(n0,pv10)
        & leq(n0,pv12)
        & leq(pv12,n4)
        & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
        & ! [X13] :
            ( ( leq(n0,X13)
              & leq(X13,pred(pv12)) )
           => a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )
     => ! [X3] :
          ( ( leq(X3,pv12)
            & leq(n0,X3) )
         => ( pv12 != X3
           => a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X17] :
          ( ( leq(X17,pred(pv10))
            & leq(n0,X17) )
         => n1 = sum(n0,n4,a_select3(q,X17,tptp_sum_index)) )
      & leq(pv10,n135299)
      & leq(n0,pv10)
      & leq(n0,pv12)
      & leq(pv12,n4)
      & pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))
      & ! [X13] :
          ( ( leq(n0,X13)
            & leq(X13,pred(pv12)) )
         => a_select3(q,pv10,X13) = divide(sqrt(times(minus(a_select3(center,X13,n0),a_select2(x,pv10)),minus(a_select3(center,X13,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) )
   => ! [X3] :
        ( ( leq(X3,pv12)
          & leq(n0,X3) )
       => ( pv12 != X3
         => a_select3(q,pv10,X3) = divide(sqrt(times(minus(a_select3(center,X3,n0),a_select2(x,pv10)),minus(a_select3(center,X3,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_norm_0003) ).

fof(f699,plain,
    ( gt(pv12,sK11)
    | pv12 = sK11 ),
    inference(resolution,[],[f287,f297]) ).

fof(f297,plain,
    leq(sK11,pv12),
    inference(cnf_transformation,[],[f207]) ).

fof(f287,plain,
    ! [X0,X1] :
      ( ~ leq(X1,X0)
      | X0 = X1
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X0,X1)
      | ~ leq(X1,X0) ),
    inference(flattening,[],[f156]) ).

fof(f156,plain,
    ! [X1,X0] :
      ( gt(X0,X1)
      | X0 = X1
      | ~ leq(X1,X0) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X1,X0] :
      ( ( X0 != X1
        & leq(X1,X0) )
     => gt(X0,X1) ),
    inference(rectify,[],[f9]) ).

fof(f9,axiom,
    ! [X1,X0] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).

fof(f926,plain,
    ~ spl46_37,
    inference(avatar_split_clause,[],[f525,f919]) ).

fof(f525,plain,
    ~ leq(sK11,sF38),
    inference(subsumption_resolution,[],[f524,f453]) ).

fof(f453,plain,
    sF43 != sF44,
    inference(definition_folding,[],[f295,f452,f451,f443,f442,f441,f440,f439,f438,f440,f439,f438,f450,f449,f448,f439,f447,f448,f439,f447]) ).

fof(f447,plain,
    sF39 = a_select3(center,sK11,n0),
    introduced(function_definition,[]) ).

fof(f448,plain,
    minus(sF39,sF33) = sF40,
    introduced(function_definition,[]) ).

fof(f449,plain,
    times(sF40,sF40) = sF41,
    introduced(function_definition,[]) ).

fof(f450,plain,
    sF42 = sqrt(sF41),
    introduced(function_definition,[]) ).

fof(f438,plain,
    a_select3(center,tptp_sum_index,n0) = sF32,
    introduced(function_definition,[]) ).

fof(f439,plain,
    a_select2(x,pv10) = sF33,
    introduced(function_definition,[]) ).

fof(f440,plain,
    sF34 = minus(sF32,sF33),
    introduced(function_definition,[]) ).

fof(f441,plain,
    times(sF34,sF34) = sF35,
    introduced(function_definition,[]) ).

fof(f442,plain,
    sF36 = sqrt(sF35),
    introduced(function_definition,[]) ).

fof(f443,plain,
    sF37 = sum(n0,n4,sF36),
    introduced(function_definition,[]) ).

fof(f451,plain,
    sF43 = divide(sF42,sF37),
    introduced(function_definition,[]) ).

fof(f452,plain,
    sF44 = a_select3(q,pv10,sK11),
    introduced(function_definition,[]) ).

fof(f295,plain,
    divide(sqrt(times(minus(a_select3(center,sK11,n0),a_select2(x,pv10)),minus(a_select3(center,sK11,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)))))) != a_select3(q,pv10,sK11),
    inference(cnf_transformation,[],[f207]) ).

fof(f524,plain,
    ( sF43 = sF44
    | ~ leq(sK11,sF38) ),
    inference(forward_demodulation,[],[f523,f471]) ).

fof(f471,plain,
    divide(sF42,pv70) = sF43,
    inference(forward_demodulation,[],[f451,f444]) ).

fof(f444,plain,
    pv70 = sF37,
    inference(definition_folding,[],[f302,f443,f442,f441,f440,f439,f438,f440,f439,f438]) ).

fof(f302,plain,
    pv70 = sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))),
    inference(cnf_transformation,[],[f207]) ).

fof(f523,plain,
    ( divide(sF42,pv70) = sF44
    | ~ leq(sK11,sF38) ),
    inference(forward_demodulation,[],[f522,f450]) ).

fof(f522,plain,
    ( ~ leq(sK11,sF38)
    | divide(sqrt(sF41),pv70) = sF44 ),
    inference(forward_demodulation,[],[f521,f449]) ).

fof(f521,plain,
    ( ~ leq(sK11,sF38)
    | sF44 = divide(sqrt(times(sF40,sF40)),pv70) ),
    inference(forward_demodulation,[],[f520,f448]) ).

fof(f520,plain,
    ( ~ leq(sK11,sF38)
    | divide(sqrt(times(minus(sF39,sF33),minus(sF39,sF33))),pv70) = sF44 ),
    inference(forward_demodulation,[],[f519,f447]) ).

fof(f519,plain,
    ( ~ leq(sK11,sF38)
    | divide(sqrt(times(minus(a_select3(center,sK11,n0),sF33),minus(a_select3(center,sK11,n0),sF33))),pv70) = sF44 ),
    inference(forward_demodulation,[],[f515,f452]) ).

fof(f515,plain,
    ( ~ leq(sK11,sF38)
    | divide(sqrt(times(minus(a_select3(center,sK11,n0),sF33),minus(a_select3(center,sK11,n0),sF33))),pv70) = a_select3(q,pv10,sK11) ),
    inference(resolution,[],[f468,f296]) ).

fof(f296,plain,
    leq(n0,sK11),
    inference(cnf_transformation,[],[f207]) ).

fof(f468,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,sF38)
      | a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),sF33),minus(a_select3(center,X0,n0),sF33))),pv70) ),
    inference(backward_demodulation,[],[f446,f444]) ).

fof(f446,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,sF38)
      | divide(sqrt(times(minus(a_select3(center,X0,n0),sF33),minus(a_select3(center,X0,n0),sF33))),sF37) = a_select3(q,pv10,X0) ),
    inference(definition_folding,[],[f412,f445,f443,f442,f441,f440,f439,f438,f440,f439,f438,f439,f439]) ).

fof(f412,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
      | ~ leq(X0,minus(pv12,n1)) ),
    inference(definition_unfolding,[],[f299,f304]) ).

fof(f299,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | a_select3(q,pv10,X0) = divide(sqrt(times(minus(a_select3(center,X0,n0),a_select2(x,pv10)),minus(a_select3(center,X0,n0),a_select2(x,pv10)))),sum(n0,n4,sqrt(times(minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10)),minus(a_select3(center,tptp_sum_index,n0),a_select2(x,pv10))))))
      | ~ leq(X0,pred(pv12)) ),
    inference(cnf_transformation,[],[f207]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV153+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34  % Computer : n005.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   : Tue Aug 30 19:03:48 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.21/0.50  % (10623)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (10631)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51  % (10637)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.51  % (10623)Instruction limit reached!
% 0.21/0.51  % (10623)------------------------------
% 0.21/0.51  % (10623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (10621)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (10623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (10623)Termination reason: Unknown
% 0.21/0.52  % (10623)Termination phase: Preprocessing 1
% 0.21/0.52  
% 0.21/0.52  % (10623)Memory used [KB]: 1023
% 0.21/0.52  % (10623)Time elapsed: 0.004 s
% 0.21/0.52  % (10623)Instructions burned: 2 (million)
% 0.21/0.52  % (10623)------------------------------
% 0.21/0.52  % (10623)------------------------------
% 0.21/0.52  % (10615)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.21/0.53  % (10638)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.53  % (10626)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.53  % (10641)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53  % (10618)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53  % (10644)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53  % (10628)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53  % (10633)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.54  % (10639)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.54  % (10629)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.54  % (10619)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54  % (10617)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54  % (10636)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.54  % (10620)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.54  % (10616)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.54  % (10630)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.21/0.54  % (10632)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55  % (10627)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.55  % (10642)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.55  % (10643)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.55  % (10625)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.55  % (10624)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.55  % (10634)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.56  % (10622)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.56  % (10640)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.56  % (10635)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.21/0.56  % (10622)Instruction limit reached!
% 0.21/0.56  % (10622)------------------------------
% 0.21/0.56  % (10622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (10622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (10622)Termination reason: Unknown
% 0.21/0.56  % (10622)Termination phase: Function definition elimination
% 0.21/0.56  
% 0.21/0.56  % (10622)Memory used [KB]: 1151
% 0.21/0.56  % (10622)Time elapsed: 0.005 s
% 0.21/0.56  % (10622)Instructions burned: 7 (million)
% 0.21/0.56  % (10622)------------------------------
% 0.21/0.56  % (10622)------------------------------
% 0.21/0.57  TRYING [1]
% 0.21/0.58  TRYING [2]
% 1.75/0.59  % (10621)Instruction limit reached!
% 1.75/0.59  % (10621)------------------------------
% 1.75/0.59  % (10621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.59  % (10621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.59  % (10621)Termination reason: Unknown
% 1.75/0.59  % (10621)Termination phase: Finite model building constraint generation
% 1.75/0.59  
% 1.75/0.59  % (10621)Memory used [KB]: 7803
% 1.75/0.59  % (10621)Time elapsed: 0.121 s
% 1.75/0.59  % (10621)Instructions burned: 52 (million)
% 1.75/0.59  % (10621)------------------------------
% 1.75/0.59  % (10621)------------------------------
% 1.75/0.60  % (10619)First to succeed.
% 1.75/0.60  % (10617)Instruction limit reached!
% 1.75/0.60  % (10617)------------------------------
% 1.75/0.60  % (10617)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (10617)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (10617)Termination reason: Unknown
% 1.75/0.60  % (10617)Termination phase: Saturation
% 1.75/0.60  
% 1.75/0.60  % (10617)Memory used [KB]: 1663
% 1.75/0.60  % (10617)Time elapsed: 0.198 s
% 1.75/0.60  % (10617)Instructions burned: 39 (million)
% 1.75/0.60  % (10617)------------------------------
% 1.75/0.60  % (10617)------------------------------
% 1.75/0.60  % (10619)Refutation found. Thanks to Tanya!
% 1.75/0.60  % SZS status Theorem for theBenchmark
% 1.75/0.60  % SZS output start Proof for theBenchmark
% See solution above
% 1.75/0.60  % (10619)------------------------------
% 1.75/0.60  % (10619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.75/0.60  % (10619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.75/0.60  % (10619)Termination reason: Refutation
% 1.75/0.60  
% 1.75/0.60  % (10619)Memory used [KB]: 6140
% 1.75/0.60  % (10619)Time elapsed: 0.197 s
% 1.75/0.60  % (10619)Instructions burned: 33 (million)
% 1.75/0.60  % (10619)------------------------------
% 1.75/0.60  % (10619)------------------------------
% 1.75/0.60  % (10614)Success in time 0.244 s
%------------------------------------------------------------------------------