TSTP Solution File: SWV042+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n003.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 : Sun May  5 10:27:48 EDT 2024

% Result   : Theorem 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   27
% Syntax   : Number of formulae    :  109 (   8 unt;   0 def)
%            Number of atoms       :  535 ( 148 equ)
%            Maximal formula atoms :   30 (   4 avg)
%            Number of connectives :  635 ( 209   ~; 217   |; 155   &)
%                                         (  17 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  20 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  16 con; 0-3 aty)
%            Number of variables   :   83 (  58   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f475,plain,
    $false,
    inference(avatar_sat_refutation,[],[f248,f253,f258,f267,f272,f277,f282,f287,f304,f309,f314,f319,f320,f321,f322,f323,f324,f408,f455,f469]) ).

fof(f469,plain,
    ( spl7_11
    | ~ spl7_15
    | ~ spl7_16 ),
    inference(avatar_contradiction_clause,[],[f468]) ).

fof(f468,plain,
    ( $false
    | spl7_11
    | ~ spl7_15
    | ~ spl7_16 ),
    inference(subsumption_resolution,[],[f467,f308]) ).

fof(f308,plain,
    ( leq(sK5,n2)
    | ~ spl7_15 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f306,plain,
    ( spl7_15
  <=> leq(sK5,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_15])]) ).

fof(f467,plain,
    ( ~ leq(sK5,n2)
    | spl7_11
    | ~ spl7_16 ),
    inference(subsumption_resolution,[],[f457,f291]) ).

fof(f291,plain,
    ( init != a_select2(s_center7_init,sK5)
    | spl7_11 ),
    inference(avatar_component_clause,[],[f289]) ).

fof(f289,plain,
    ( spl7_11
  <=> init = a_select2(s_center7_init,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_11])]) ).

fof(f457,plain,
    ( init = a_select2(s_center7_init,sK5)
    | ~ leq(sK5,n2)
    | ~ spl7_16 ),
    inference(resolution,[],[f313,f334]) ).

fof(f334,plain,
    ! [X1] :
      ( ~ leq(n0,X1)
      | init = a_select2(s_center7_init,X1)
      | ~ leq(X1,n2) ),
    inference(backward_demodulation,[],[f153,f236]) ).

fof(f236,plain,
    ! [X0] : minus(plus(n1,X0),n1) = X0,
    inference(definition_unfolding,[],[f214,f198,f186]) ).

fof(f186,plain,
    ! [X0] : succ(X0) = plus(n1,X0),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0] : succ(X0) = plus(n1,X0),
    file('/export/starexec/sandbox/tmp/tmp.2Faa0g5AG3/Vampire---4.8_9798',succ_plus_1_l) ).

fof(f198,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/tmp/tmp.2Faa0g5AG3/Vampire---4.8_9798',pred_minus_1) ).

fof(f214,plain,
    ! [X0] : pred(succ(X0)) = X0,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ! [X0] : pred(succ(X0)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.2Faa0g5AG3/Vampire---4.8_9798',pred_succ) ).

fof(f153,plain,
    ! [X1] :
      ( init = a_select2(s_center7_init,X1)
      | ~ leq(X1,minus(plus(n1,n2),n1))
      | ~ leq(n0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ( init != a_select2(s_center7_init,sK5)
        & leq(sK5,n2)
        & leq(n0,sK5) )
      | sP1
      | sP0 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,minus(plus(n1,n2),n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f135,f136]) ).

fof(f136,plain,
    ( ? [X0] :
        ( init != a_select2(s_center7_init,X0)
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( init != a_select2(s_center7_init,sK5)
      & leq(sK5,n2)
      & leq(n0,sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f135,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X0] :
          ( init != a_select2(s_center7_init,X0)
          & leq(X0,n2)
          & leq(n0,X0) )
      | sP1
      | sP0 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X1] :
        ( init = a_select2(s_center7_init,X1)
        | ~ leq(X1,minus(plus(n1,n2),n1))
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(s_values7_init,X2)
        | ~ leq(X2,n3)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( ! [X4] :
            ( init = a_select3(simplex7_init,X4,X3)
            | ~ leq(X4,n3)
            | ~ leq(n0,X4) )
        | ~ leq(X3,n2)
        | ~ leq(n0,X3) ) ),
    inference(rectify,[],[f125]) ).

fof(f125,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | sP1
      | sP0 )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(definition_folding,[],[f94,f124,f123]) ).

fof(f123,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( init != a_select3(simplex7_init,X7,X6)
            & leq(X7,n3)
            & leq(n0,X7) )
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP0 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f124,plain,
    ( ? [X5] :
        ( init != a_select2(s_values7_init,X5)
        & leq(X5,n3)
        & leq(n0,X5) )
    | ~ sP1 ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f94,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | ? [X5] :
          ( init != a_select2(s_values7_init,X5)
          & leq(X5,n3)
          & leq(n0,X5) )
      | ? [X6] :
          ( ? [X7] :
              ( init != a_select3(simplex7_init,X7,X6)
              & leq(X7,n3)
              & leq(n0,X7) )
          & leq(X6,n2)
          & leq(n0,X6) ) )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(flattening,[],[f93]) ).

fof(f93,plain,
    ( ( ( ( init != pvar1402_init
          | init != pvar1401_init
          | init != pvar1400_init )
        & gt(loopcounter,n1) )
      | ? [X4] :
          ( init != a_select2(s_center7_init,X4)
          & leq(X4,n2)
          & leq(n0,X4) )
      | ? [X5] :
          ( init != a_select2(s_values7_init,X5)
          & leq(X5,n3)
          & leq(n0,X5) )
      | ? [X6] :
          ( ? [X7] :
              ( init != a_select3(simplex7_init,X7,X6)
              & leq(X7,n3)
              & leq(n0,X7) )
          & leq(X6,n2)
          & leq(n0,X6) ) )
    & ( ( init = pvar1402_init
        & init = pvar1401_init
        & init = pvar1400_init )
      | ~ gt(loopcounter,n1) )
    & ! [X0] :
        ( init = a_select2(s_center7_init,X0)
        | ~ leq(X0,minus(plus(n1,n2),n1))
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(s_values7_init,X1)
        | ~ leq(X1,n3)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( ! [X3] :
            ( init = a_select3(simplex7_init,X3,X2)
            | ~ leq(X3,n3)
            | ~ leq(n0,X3) )
        | ~ leq(X2,n2)
        | ~ leq(n0,X2) ) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,plain,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X0] :
            ( ( leq(X0,minus(plus(n1,n2),n1))
              & leq(n0,X0) )
           => init = a_select2(s_center7_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n3)
              & leq(n0,X1) )
           => init = a_select2(s_values7_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n2)
              & leq(n0,X2) )
           => ! [X3] :
                ( ( leq(X3,n3)
                  & leq(n0,X3) )
               => init = a_select3(simplex7_init,X3,X2) ) ) )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X4] :
            ( ( leq(X4,n2)
              & leq(n0,X4) )
           => init = a_select2(s_center7_init,X4) )
        & ! [X5] :
            ( ( leq(X5,n3)
              & leq(n0,X5) )
           => init = a_select2(s_values7_init,X5) )
        & ! [X6] :
            ( ( leq(X6,n2)
              & leq(n0,X6) )
           => ! [X7] :
                ( ( leq(X7,n3)
                  & leq(n0,X7) )
               => init = a_select3(simplex7_init,X7,X6) ) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X19] :
            ( ( leq(X19,minus(plus(n1,n2),n1))
              & leq(n0,X19) )
           => init = a_select2(s_center7_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n3)
              & leq(n0,X3) )
           => init = a_select2(s_values7_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n2)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n3)
                  & leq(n0,X17) )
               => a_select3(simplex7_init,X17,X13) = init ) ) )
     => ( ( gt(loopcounter,n1)
         => ( init = pvar1402_init
            & init = pvar1401_init
            & init = pvar1400_init ) )
        & ! [X28] :
            ( ( leq(X28,n2)
              & leq(n0,X28) )
           => init = a_select2(s_center7_init,X28) )
        & ! [X27] :
            ( ( leq(X27,n3)
              & leq(n0,X27) )
           => init = a_select2(s_values7_init,X27) )
        & ! [X20] :
            ( ( leq(X20,n2)
              & leq(n0,X20) )
           => ! [X21] :
                ( ( leq(X21,n3)
                  & leq(n0,X21) )
               => init = a_select3(simplex7_init,X21,X20) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X19] :
          ( ( leq(X19,minus(plus(n1,n2),n1))
            & leq(n0,X19) )
         => init = a_select2(s_center7_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n3)
            & leq(n0,X3) )
         => init = a_select2(s_values7_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n2)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n3)
                & leq(n0,X17) )
             => a_select3(simplex7_init,X17,X13) = init ) ) )
   => ( ( gt(loopcounter,n1)
       => ( init = pvar1402_init
          & init = pvar1401_init
          & init = pvar1400_init ) )
      & ! [X28] :
          ( ( leq(X28,n2)
            & leq(n0,X28) )
         => init = a_select2(s_center7_init,X28) )
      & ! [X27] :
          ( ( leq(X27,n3)
            & leq(n0,X27) )
         => init = a_select2(s_values7_init,X27) )
      & ! [X20] :
          ( ( leq(X20,n2)
            & leq(n0,X20) )
         => ! [X21] :
              ( ( leq(X21,n3)
                & leq(n0,X21) )
             => init = a_select3(simplex7_init,X21,X20) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.2Faa0g5AG3/Vampire---4.8_9798',gauss_init_0081) ).

fof(f313,plain,
    ( leq(n0,sK5)
    | ~ spl7_16 ),
    inference(avatar_component_clause,[],[f311]) ).

fof(f311,plain,
    ( spl7_16
  <=> leq(n0,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_16])]) ).

fof(f455,plain,
    ( spl7_2
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(avatar_contradiction_clause,[],[f454]) ).

fof(f454,plain,
    ( $false
    | spl7_2
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f453,f247]) ).

fof(f247,plain,
    ( init != a_select2(s_values7_init,sK2)
    | spl7_2 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl7_2
  <=> init = a_select2(s_values7_init,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_2])]) ).

fof(f453,plain,
    ( init = a_select2(s_values7_init,sK2)
    | ~ spl7_3
    | ~ spl7_4 ),
    inference(subsumption_resolution,[],[f442,f252]) ).

fof(f252,plain,
    ( leq(sK2,n3)
    | ~ spl7_3 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl7_3
  <=> leq(sK2,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).

fof(f442,plain,
    ( ~ leq(sK2,n3)
    | init = a_select2(s_values7_init,sK2)
    | ~ spl7_4 ),
    inference(resolution,[],[f257,f152]) ).

fof(f152,plain,
    ! [X2] :
      ( ~ leq(n0,X2)
      | ~ leq(X2,n3)
      | init = a_select2(s_values7_init,X2) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f257,plain,
    ( leq(n0,sK2)
    | ~ spl7_4 ),
    inference(avatar_component_clause,[],[f255]) ).

fof(f255,plain,
    ( spl7_4
  <=> leq(n0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).

fof(f408,plain,
    ( spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10 ),
    inference(avatar_contradiction_clause,[],[f407]) ).

fof(f407,plain,
    ( $false
    | spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9
    | ~ spl7_10 ),
    inference(subsumption_resolution,[],[f406,f286]) ).

fof(f286,plain,
    ( leq(n0,sK3)
    | ~ spl7_10 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f284,plain,
    ( spl7_10
  <=> leq(n0,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_10])]) ).

fof(f406,plain,
    ( ~ leq(n0,sK3)
    | spl7_6
    | ~ spl7_7
    | ~ spl7_8
    | ~ spl7_9 ),
    inference(subsumption_resolution,[],[f405,f281]) ).

fof(f281,plain,
    ( leq(sK3,n2)
    | ~ spl7_9 ),
    inference(avatar_component_clause,[],[f279]) ).

fof(f279,plain,
    ( spl7_9
  <=> leq(sK3,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_9])]) ).

fof(f405,plain,
    ( ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | spl7_6
    | ~ spl7_7
    | ~ spl7_8 ),
    inference(trivial_inequality_removal,[],[f404]) ).

fof(f404,plain,
    ( init != init
    | ~ leq(sK3,n2)
    | ~ leq(n0,sK3)
    | spl7_6
    | ~ spl7_7
    | ~ spl7_8 ),
    inference(superposition,[],[f266,f363]) ).

fof(f363,plain,
    ( ! [X0] :
        ( init = a_select3(simplex7_init,sK4,X0)
        | ~ leq(X0,n2)
        | ~ leq(n0,X0) )
    | ~ spl7_7
    | ~ spl7_8 ),
    inference(subsumption_resolution,[],[f360,f271]) ).

fof(f271,plain,
    ( leq(sK4,n3)
    | ~ spl7_7 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl7_7
  <=> leq(sK4,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_7])]) ).

fof(f360,plain,
    ( ! [X0] :
        ( ~ leq(sK4,n3)
        | init = a_select3(simplex7_init,sK4,X0)
        | ~ leq(X0,n2)
        | ~ leq(n0,X0) )
    | ~ spl7_8 ),
    inference(resolution,[],[f276,f151]) ).

fof(f151,plain,
    ! [X3,X4] :
      ( ~ leq(n0,X4)
      | ~ leq(X4,n3)
      | init = a_select3(simplex7_init,X4,X3)
      | ~ leq(X3,n2)
      | ~ leq(n0,X3) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f276,plain,
    ( leq(n0,sK4)
    | ~ spl7_8 ),
    inference(avatar_component_clause,[],[f274]) ).

fof(f274,plain,
    ( spl7_8
  <=> leq(n0,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_8])]) ).

fof(f266,plain,
    ( init != a_select3(simplex7_init,sK4,sK3)
    | spl7_6 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl7_6
  <=> init = a_select3(simplex7_init,sK4,sK3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_6])]) ).

fof(f324,plain,
    ( ~ spl7_17
    | spl7_12 ),
    inference(avatar_split_clause,[],[f154,f293,f316]) ).

fof(f316,plain,
    ( spl7_17
  <=> gt(loopcounter,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_17])]) ).

fof(f293,plain,
    ( spl7_12
  <=> init = pvar1400_init ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_12])]) ).

fof(f154,plain,
    ( init = pvar1400_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f323,plain,
    ( ~ spl7_17
    | spl7_13 ),
    inference(avatar_split_clause,[],[f155,f297,f316]) ).

fof(f297,plain,
    ( spl7_13
  <=> init = pvar1401_init ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_13])]) ).

fof(f155,plain,
    ( init = pvar1401_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f322,plain,
    ( ~ spl7_17
    | spl7_14 ),
    inference(avatar_split_clause,[],[f156,f301,f316]) ).

fof(f301,plain,
    ( spl7_14
  <=> init = pvar1402_init ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_14])]) ).

fof(f156,plain,
    ( init = pvar1402_init
    | ~ gt(loopcounter,n1) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f321,plain,
    ( spl7_5
    | spl7_1
    | spl7_16
    | spl7_17 ),
    inference(avatar_split_clause,[],[f157,f316,f311,f241,f260]) ).

fof(f260,plain,
    ( spl7_5
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_5])]) ).

fof(f241,plain,
    ( spl7_1
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl7_1])]) ).

fof(f157,plain,
    ( gt(loopcounter,n1)
    | leq(n0,sK5)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f320,plain,
    ( spl7_5
    | spl7_1
    | spl7_15
    | spl7_17 ),
    inference(avatar_split_clause,[],[f158,f316,f306,f241,f260]) ).

fof(f158,plain,
    ( gt(loopcounter,n1)
    | leq(sK5,n2)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f319,plain,
    ( spl7_5
    | spl7_1
    | ~ spl7_11
    | spl7_17 ),
    inference(avatar_split_clause,[],[f159,f316,f289,f241,f260]) ).

fof(f159,plain,
    ( gt(loopcounter,n1)
    | init != a_select2(s_center7_init,sK5)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f314,plain,
    ( spl7_5
    | spl7_1
    | spl7_16
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14 ),
    inference(avatar_split_clause,[],[f160,f301,f297,f293,f311,f241,f260]) ).

fof(f160,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(n0,sK5)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f309,plain,
    ( spl7_5
    | spl7_1
    | spl7_15
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14 ),
    inference(avatar_split_clause,[],[f161,f301,f297,f293,f306,f241,f260]) ).

fof(f161,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | leq(sK5,n2)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f304,plain,
    ( spl7_5
    | spl7_1
    | ~ spl7_11
    | ~ spl7_12
    | ~ spl7_13
    | ~ spl7_14 ),
    inference(avatar_split_clause,[],[f162,f301,f297,f293,f289,f241,f260]) ).

fof(f162,plain,
    ( init != pvar1402_init
    | init != pvar1401_init
    | init != pvar1400_init
    | init != a_select2(s_center7_init,sK5)
    | sP1
    | sP0 ),
    inference(cnf_transformation,[],[f137]) ).

fof(f287,plain,
    ( ~ spl7_5
    | spl7_10 ),
    inference(avatar_split_clause,[],[f146,f284,f260]) ).

fof(f146,plain,
    ( leq(n0,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ( ( init != a_select3(simplex7_init,sK4,sK3)
      & leq(sK4,n3)
      & leq(n0,sK4)
      & leq(sK3,n2)
      & leq(n0,sK3) )
    | ~ sP0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f131,f133,f132]) ).

fof(f132,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
   => ( ? [X1] :
          ( init != a_select3(simplex7_init,X1,sK3)
          & leq(X1,n3)
          & leq(n0,X1) )
      & leq(sK3,n2)
      & leq(n0,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f133,plain,
    ( ? [X1] :
        ( init != a_select3(simplex7_init,X1,sK3)
        & leq(X1,n3)
        & leq(n0,X1) )
   => ( init != a_select3(simplex7_init,sK4,sK3)
      & leq(sK4,n3)
      & leq(n0,sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ( ? [X0] :
        ( ? [X1] :
            ( init != a_select3(simplex7_init,X1,X0)
            & leq(X1,n3)
            & leq(n0,X1) )
        & leq(X0,n2)
        & leq(n0,X0) )
    | ~ sP0 ),
    inference(rectify,[],[f130]) ).

fof(f130,plain,
    ( ? [X6] :
        ( ? [X7] :
            ( init != a_select3(simplex7_init,X7,X6)
            & leq(X7,n3)
            & leq(n0,X7) )
        & leq(X6,n2)
        & leq(n0,X6) )
    | ~ sP0 ),
    inference(nnf_transformation,[],[f123]) ).

fof(f282,plain,
    ( ~ spl7_5
    | spl7_9 ),
    inference(avatar_split_clause,[],[f147,f279,f260]) ).

fof(f147,plain,
    ( leq(sK3,n2)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f277,plain,
    ( ~ spl7_5
    | spl7_8 ),
    inference(avatar_split_clause,[],[f148,f274,f260]) ).

fof(f148,plain,
    ( leq(n0,sK4)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f272,plain,
    ( ~ spl7_5
    | spl7_7 ),
    inference(avatar_split_clause,[],[f149,f269,f260]) ).

fof(f149,plain,
    ( leq(sK4,n3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f267,plain,
    ( ~ spl7_5
    | ~ spl7_6 ),
    inference(avatar_split_clause,[],[f150,f264,f260]) ).

fof(f150,plain,
    ( init != a_select3(simplex7_init,sK4,sK3)
    | ~ sP0 ),
    inference(cnf_transformation,[],[f134]) ).

fof(f258,plain,
    ( ~ spl7_1
    | spl7_4 ),
    inference(avatar_split_clause,[],[f143,f255,f241]) ).

fof(f143,plain,
    ( leq(n0,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ( ( init != a_select2(s_values7_init,sK2)
      & leq(sK2,n3)
      & leq(n0,sK2) )
    | ~ sP1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f127,f128]) ).

fof(f128,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
   => ( init != a_select2(s_values7_init,sK2)
      & leq(sK2,n3)
      & leq(n0,sK2) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X0] :
        ( init != a_select2(s_values7_init,X0)
        & leq(X0,n3)
        & leq(n0,X0) )
    | ~ sP1 ),
    inference(rectify,[],[f126]) ).

fof(f126,plain,
    ( ? [X5] :
        ( init != a_select2(s_values7_init,X5)
        & leq(X5,n3)
        & leq(n0,X5) )
    | ~ sP1 ),
    inference(nnf_transformation,[],[f124]) ).

fof(f253,plain,
    ( ~ spl7_1
    | spl7_3 ),
    inference(avatar_split_clause,[],[f144,f250,f241]) ).

fof(f144,plain,
    ( leq(sK2,n3)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f248,plain,
    ( ~ spl7_1
    | ~ spl7_2 ),
    inference(avatar_split_clause,[],[f145,f245,f241]) ).

fof(f145,plain,
    ( init != a_select2(s_values7_init,sK2)
    | ~ sP1 ),
    inference(cnf_transformation,[],[f129]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV042+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n003.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:08:08 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.2Faa0g5AG3/Vampire---4.8_9798
% 0.56/0.73  % (10052)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (10054)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.73  % (10055)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.73  % (10053)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.56/0.73  % (10057)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.73  % (10056)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.56/0.73  % (10058)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.56/0.73  % (10059)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.74  % (10054)First to succeed.
% 0.56/0.74  % (10054)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-10042"
% 0.56/0.74  % (10052)Instruction limit reached!
% 0.56/0.74  % (10052)------------------------------
% 0.56/0.74  % (10052)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (10054)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Theorem for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (10054)------------------------------
% 0.56/0.75  % (10054)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (10054)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (10054)Memory used [KB]: 1226
% 0.56/0.75  % (10054)Time elapsed: 0.012 s
% 0.56/0.75  % (10054)Instructions burned: 16 (million)
% 0.56/0.75  % (10042)Success in time 0.386 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------