TSTP Solution File: SWV391+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV391+1 : TPTP v8.1.2. Released 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 May  1 04:03:47 EDT 2024

% Result   : Theorem 0.79s 0.80s
% Output   : Refutation 0.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   87 (  13 unt;   0 def)
%            Number of atoms       :  235 (  27 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  250 ( 102   ~; 101   |;  25   &)
%                                         (   9 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   6 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :  211 ( 193   !;  18   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f790,plain,
    $false,
    inference(avatar_sat_refutation,[],[f486,f619,f623,f721,f786,f789]) ).

fof(f789,plain,
    ~ spl6_4,
    inference(avatar_contradiction_clause,[],[f788]) ).

fof(f788,plain,
    ( $false
    | ~ spl6_4 ),
    inference(resolution,[],[f513,f111]) ).

fof(f111,plain,
    check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ( ~ check_cpq(triple(sK2,sK3,sK4))
    & ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
    & check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f64,f98]) ).

fof(f98,plain,
    ( ? [X0,X1,X2,X3] :
        ( ~ check_cpq(triple(X0,X1,X2))
        & ok(remove_cpq(triple(X0,X1,X2),X3))
        & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
   => ( ~ check_cpq(triple(sK2,sK3,sK4))
      & ok(remove_cpq(triple(sK2,sK3,sK4),sK5))
      & check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f64,plain,
    ? [X0,X1,X2,X3] :
      ( ~ check_cpq(triple(X0,X1,X2))
      & ok(remove_cpq(triple(X0,X1,X2),X3))
      & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(flattening,[],[f63]) ).

fof(f63,plain,
    ? [X0,X1,X2,X3] :
      ( ~ check_cpq(triple(X0,X1,X2))
      & ok(remove_cpq(triple(X0,X1,X2),X3))
      & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,negated_conjecture,
    ~ ! [X0,X1,X2,X3] :
        ( ( ok(remove_cpq(triple(X0,X1,X2),X3))
          & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
       => check_cpq(triple(X0,X1,X2)) ),
    inference(negated_conjecture,[],[f46]) ).

fof(f46,conjecture,
    ! [X0,X1,X2,X3] :
      ( ( ok(remove_cpq(triple(X0,X1,X2),X3))
        & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
     => check_cpq(triple(X0,X1,X2)) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',l27_co) ).

fof(f513,plain,
    ( ! [X0,X1] : ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK5))
    | ~ spl6_4 ),
    inference(avatar_component_clause,[],[f512]) ).

fof(f512,plain,
    ( spl6_4
  <=> ! [X0,X1] : ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_4])]) ).

fof(f786,plain,
    ( spl6_3
    | spl6_4
    | ~ spl6_13 ),
    inference(avatar_split_clause,[],[f785,f609,f512,f509]) ).

fof(f509,plain,
    ( spl6_3
  <=> ! [X2,X3] :
        ( ~ pair_in_list(sK3,X2,X3)
        | sK5 = X2
        | less_than(X3,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_3])]) ).

fof(f609,plain,
    ( spl6_13
  <=> ! [X0,X1] : remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_13])]) ).

fof(f785,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK5))
        | ~ pair_in_list(sK3,X2,X3)
        | less_than(X3,X2)
        | sK5 = X2 )
    | ~ spl6_13 ),
    inference(subsumption_resolution,[],[f762,f171]) ).

fof(f171,plain,
    contains_slb(sK3,sK5),
    inference(resolution,[],[f110,f112]) ).

fof(f112,plain,
    ok(remove_cpq(triple(sK2,sK3,sK4),sK5)),
    inference(cnf_transformation,[],[f99]) ).

fof(f110,plain,
    ! [X2,X3,X0,X1] :
      ( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
      | contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3] :
      ( contains_slb(X1,X3)
      | ~ ok(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X3] :
      ( ok(remove_cpq(triple(X0,X1,X2),X3))
     => contains_slb(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',l27_l33) ).

fof(f762,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ check_cpq(remove_cpq(triple(X0,sK3,X1),sK5))
        | ~ contains_slb(sK3,sK5)
        | ~ pair_in_list(sK3,X2,X3)
        | less_than(X3,X2)
        | sK5 = X2 )
    | ~ spl6_13 ),
    inference(superposition,[],[f224,f610]) ).

fof(f610,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1)
    | ~ spl6_13 ),
    inference(avatar_component_clause,[],[f609]) ).

fof(f224,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X4,remove_slb(X2,X1),X5))
      | ~ contains_slb(X2,X1)
      | ~ pair_in_list(X2,X0,X3)
      | less_than(X3,X0)
      | X0 = X1 ),
    inference(resolution,[],[f108,f105]) ).

fof(f105,plain,
    ! [X2,X0,X1,X6,X5] :
      ( ~ pair_in_list(X1,X5,X6)
      | less_than(X6,X5)
      | ~ check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ( ~ less_than(sK1(X1),sK0(X1))
          & pair_in_list(X1,sK0(X1),sK1(X1)) ) )
      & ( ! [X5,X6] :
            ( less_than(X6,X5)
            | ~ pair_in_list(X1,X5,X6) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f95,f96]) ).

fof(f96,plain,
    ! [X1] :
      ( ? [X3,X4] :
          ( ~ less_than(X4,X3)
          & pair_in_list(X1,X3,X4) )
     => ( ~ less_than(sK1(X1),sK0(X1))
        & pair_in_list(X1,sK0(X1),sK1(X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f95,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ? [X3,X4] :
            ( ~ less_than(X4,X3)
            & pair_in_list(X1,X3,X4) ) )
      & ( ! [X5,X6] :
            ( less_than(X6,X5)
            | ~ pair_in_list(X1,X5,X6) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(rectify,[],[f94]) ).

fof(f94,plain,
    ! [X0,X1,X2] :
      ( ( check_cpq(triple(X0,X1,X2))
        | ? [X3,X4] :
            ( ~ less_than(X4,X3)
            & pair_in_list(X1,X3,X4) ) )
      & ( ! [X3,X4] :
            ( less_than(X4,X3)
            | ~ pair_in_list(X1,X3,X4) )
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(nnf_transformation,[],[f57]) ).

fof(f57,plain,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X1,X3,X4) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0,X1,X2] :
      ( check_cpq(triple(X0,X1,X2))
    <=> ! [X3,X4] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',l27_li4142) ).

fof(f108,plain,
    ! [X2,X3,X0,X1] :
      ( pair_in_list(remove_slb(X0,X3),X1,X2)
      | X1 = X3
      | ~ contains_slb(X0,X3)
      | ~ pair_in_list(X0,X1,X2) ),
    inference(cnf_transformation,[],[f59]) ).

fof(f59,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X1 = X3
          | pair_in_list(remove_slb(X0,X3),X1,X2)
          | ~ contains_slb(X0,X3) )
      | ~ pair_in_list(X0,X1,X2) ),
    inference(flattening,[],[f58]) ).

fof(f58,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( X1 = X3
          | pair_in_list(remove_slb(X0,X3),X1,X2)
          | ~ contains_slb(X0,X3) )
      | ~ pair_in_list(X0,X1,X2) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X2] :
      ( pair_in_list(X0,X1,X2)
     => ! [X3] :
          ( contains_slb(X0,X3)
         => ( X1 = X3
            | pair_in_list(remove_slb(X0,X3),X1,X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',l27_li2829) ).

fof(f721,plain,
    ~ spl6_3,
    inference(avatar_contradiction_clause,[],[f720]) ).

fof(f720,plain,
    ( $false
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f716,f681]) ).

fof(f681,plain,
    ( ~ less_than(sK1(sK3),sK5)
    | ~ spl6_3 ),
    inference(backward_demodulation,[],[f168,f680]) ).

fof(f680,plain,
    ( sK5 = sK0(sK3)
    | ~ spl6_3 ),
    inference(subsumption_resolution,[],[f679,f168]) ).

fof(f679,plain,
    ( sK5 = sK0(sK3)
    | less_than(sK1(sK3),sK0(sK3))
    | ~ spl6_3 ),
    inference(resolution,[],[f510,f182]) ).

fof(f182,plain,
    pair_in_list(sK3,sK0(sK3),sK1(sK3)),
    inference(resolution,[],[f106,f113]) ).

fof(f113,plain,
    ~ check_cpq(triple(sK2,sK3,sK4)),
    inference(cnf_transformation,[],[f99]) ).

fof(f106,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | pair_in_list(X1,sK0(X1),sK1(X1)) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f510,plain,
    ( ! [X2,X3] :
        ( ~ pair_in_list(sK3,X2,X3)
        | sK5 = X2
        | less_than(X3,X2) )
    | ~ spl6_3 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f168,plain,
    ~ less_than(sK1(sK3),sK0(sK3)),
    inference(resolution,[],[f107,f113]) ).

fof(f107,plain,
    ! [X2,X0,X1] :
      ( check_cpq(triple(X0,X1,X2))
      | ~ less_than(sK1(X1),sK0(X1)) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f716,plain,
    ( less_than(sK1(sK3),sK5)
    | ~ spl6_3 ),
    inference(resolution,[],[f686,f274]) ).

fof(f274,plain,
    ! [X0] :
      ( ~ pair_in_list(sK3,sK5,X0)
      | less_than(X0,sK5) ),
    inference(subsumption_resolution,[],[f272,f111]) ).

fof(f272,plain,
    ! [X0] :
      ( ~ pair_in_list(sK3,sK5,X0)
      | less_than(X0,sK5)
      | ~ check_cpq(remove_cpq(triple(sK2,sK3,sK4),sK5)) ),
    inference(resolution,[],[f109,f112]) ).

fof(f109,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
      | ~ pair_in_list(X1,X3,X4)
      | less_than(X4,X3)
      | ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(cnf_transformation,[],[f61]) ).

fof(f61,plain,
    ! [X0,X1,X2,X3] :
      ( ! [X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X1,X3,X4) )
      | ~ ok(remove_cpq(triple(X0,X1,X2),X3))
      | ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(flattening,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1,X2,X3] :
      ( ! [X4] :
          ( less_than(X4,X3)
          | ~ pair_in_list(X1,X3,X4) )
      | ~ ok(remove_cpq(triple(X0,X1,X2),X3))
      | ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3] :
      ( ( ok(remove_cpq(triple(X0,X1,X2),X3))
        & check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
     => ! [X4] :
          ( pair_in_list(X1,X3,X4)
         => less_than(X4,X3) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',l27_l30) ).

fof(f686,plain,
    ( pair_in_list(sK3,sK5,sK1(sK3))
    | ~ spl6_3 ),
    inference(backward_demodulation,[],[f182,f680]) ).

fof(f623,plain,
    ( spl6_13
    | ~ spl6_1 ),
    inference(avatar_split_clause,[],[f622,f480,f609]) ).

fof(f480,plain,
    ( spl6_1
  <=> less_than(lookup_slb(sK3,sK5),sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_1])]) ).

fof(f622,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1)
    | ~ spl6_1 ),
    inference(subsumption_resolution,[],[f621,f171]) ).

fof(f621,plain,
    ( ! [X0,X1] :
        ( remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),X1)
        | ~ contains_slb(sK3,sK5) )
    | ~ spl6_1 ),
    inference(resolution,[],[f482,f127]) ).

fof(f127,plain,
    ! [X2,X3,X0,X1] :
      ( ~ less_than(lookup_slb(X1,X3),X3)
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f72]) ).

fof(f72,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
      | ~ less_than(lookup_slb(X1,X3),X3)
      | ~ contains_slb(X1,X3) ),
    inference(flattening,[],[f71]) ).

fof(f71,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2)
      | ~ less_than(lookup_slb(X1,X3),X3)
      | ~ contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2,X3] :
      ( ( less_than(lookup_slb(X1,X3),X3)
        & contains_slb(X1,X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',ax44) ).

fof(f482,plain,
    ( less_than(lookup_slb(sK3,sK5),sK5)
    | ~ spl6_1 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f619,plain,
    ~ spl6_2,
    inference(avatar_contradiction_clause,[],[f618]) ).

fof(f618,plain,
    ( $false
    | ~ spl6_2 ),
    inference(resolution,[],[f493,f112]) ).

fof(f493,plain,
    ( ! [X0,X1] : ~ ok(remove_cpq(triple(X0,sK3,X1),sK5))
    | ~ spl6_2 ),
    inference(superposition,[],[f134,f485]) ).

fof(f485,plain,
    ( ! [X0,X1] : remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad)
    | ~ spl6_2 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f484,plain,
    ( spl6_2
  <=> ! [X0,X1] : remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad) ),
    introduced(avatar_definition,[new_symbols(naming,[spl6_2])]) ).

fof(f134,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(cnf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ! [X0,X1] : ~ ok(triple(X0,X1,bad)),
    inference(true_and_false_elimination,[],[f28]) ).

fof(f28,axiom,
    ! [X0,X1] :
      ( ok(triple(X0,X1,bad))
    <=> $false ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',ax40) ).

fof(f486,plain,
    ( spl6_1
    | spl6_2 ),
    inference(avatar_split_clause,[],[f474,f484,f480]) ).

fof(f474,plain,
    ! [X0,X1] :
      ( remove_cpq(triple(X0,sK3,X1),sK5) = triple(remove_pqp(X0,sK5),remove_slb(sK3,sK5),bad)
      | less_than(lookup_slb(sK3,sK5),sK5) ),
    inference(resolution,[],[f280,f171]) ).

fof(f280,plain,
    ! [X2,X3,X0,X1] :
      ( ~ contains_slb(X1,X3)
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | less_than(lookup_slb(X1,X3),X3) ),
    inference(resolution,[],[f126,f165]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0) ),
    inference(subsumption_resolution,[],[f141,f115]) ).

fof(f115,plain,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( less_than(X1,X0)
      | less_than(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',totality) ).

fof(f141,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(cnf_transformation,[],[f82]) ).

fof(f82,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(flattening,[],[f81]) ).

fof(f81,plain,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
      | less_than(X1,X0)
      | ~ less_than(X0,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f56,plain,
    ! [X0,X1] :
      ( ( ~ less_than(X1,X0)
        & less_than(X0,X1) )
     => strictly_less_than(X0,X1) ),
    inference(unused_predicate_definition_removal,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( strictly_less_than(X0,X1)
    <=> ( ~ less_than(X1,X0)
        & less_than(X0,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',stricly_smaller_definition) ).

fof(f126,plain,
    ! [X2,X3,X0,X1] :
      ( ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ contains_slb(X1,X3) ),
    inference(cnf_transformation,[],[f70]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | ~ contains_slb(X1,X3) ),
    inference(flattening,[],[f69]) ).

fof(f69,plain,
    ! [X0,X1,X2,X3] :
      ( remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad)
      | ~ strictly_less_than(X3,lookup_slb(X1,X3))
      | ~ contains_slb(X1,X3) ),
    inference(ennf_transformation,[],[f33]) ).

fof(f33,axiom,
    ! [X0,X1,X2,X3] :
      ( ( strictly_less_than(X3,lookup_slb(X1,X3))
        & contains_slb(X1,X3) )
     => remove_cpq(triple(X0,X1,X2),X3) = triple(remove_pqp(X0,X3),remove_slb(X1,X3),bad) ),
    file('/export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712',ax45) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWV391+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n005.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:32:56 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.uxfUbAF3m6/Vampire---4.8_22712
% 0.56/0.75  % (22906)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)
% 0.56/0.75  % (22907)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)
% 0.56/0.75  % (22899)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)
% 0.56/0.75  % (22902)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (22900)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)
% 0.56/0.75  % (22904)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)
% 0.56/0.75  % (22903)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)
% 0.56/0.75  % (22905)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)
% 0.56/0.77  % (22907)Instruction limit reached!
% 0.56/0.77  % (22907)------------------------------
% 0.56/0.77  % (22907)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (22907)Termination reason: Unknown
% 0.56/0.77  % (22907)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (22907)Memory used [KB]: 1313
% 0.56/0.77  % (22907)Time elapsed: 0.019 s
% 0.56/0.77  % (22907)Instructions burned: 58 (million)
% 0.56/0.77  % (22907)------------------------------
% 0.56/0.77  % (22907)------------------------------
% 0.56/0.77  % (22899)Instruction limit reached!
% 0.56/0.77  % (22899)------------------------------
% 0.56/0.77  % (22899)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (22899)Termination reason: Unknown
% 0.56/0.77  % (22899)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (22899)Memory used [KB]: 1222
% 0.56/0.77  % (22899)Time elapsed: 0.020 s
% 0.56/0.77  % (22899)Instructions burned: 35 (million)
% 0.56/0.77  % (22899)------------------------------
% 0.56/0.77  % (22899)------------------------------
% 0.56/0.77  % (22911)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.56/0.77  % (22903)Instruction limit reached!
% 0.56/0.77  % (22903)------------------------------
% 0.56/0.77  % (22903)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (22904)Instruction limit reached!
% 0.56/0.77  % (22904)------------------------------
% 0.56/0.77  % (22904)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.77  % (22903)Termination reason: Unknown
% 0.56/0.77  % (22903)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (22903)Memory used [KB]: 1479
% 0.56/0.77  % (22903)Time elapsed: 0.022 s
% 0.56/0.77  % (22903)Instructions burned: 34 (million)
% 0.56/0.77  % (22903)------------------------------
% 0.56/0.77  % (22903)------------------------------
% 0.56/0.77  % (22904)Termination reason: Unknown
% 0.56/0.77  % (22904)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (22904)Memory used [KB]: 1279
% 0.56/0.77  % (22904)Time elapsed: 0.022 s
% 0.56/0.77  % (22904)Instructions burned: 35 (million)
% 0.56/0.77  % (22904)------------------------------
% 0.56/0.77  % (22904)------------------------------
% 0.56/0.78  % (22912)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.56/0.78  % (22905)Instruction limit reached!
% 0.56/0.78  % (22905)------------------------------
% 0.56/0.78  % (22905)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (22905)Termination reason: Unknown
% 0.56/0.78  % (22905)Termination phase: Saturation
% 0.56/0.78  
% 0.56/0.78  % (22914)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.56/0.78  % (22905)Memory used [KB]: 1265
% 0.56/0.78  % (22905)Time elapsed: 0.026 s
% 0.56/0.78  % (22905)Instructions burned: 46 (million)
% 0.56/0.78  % (22905)------------------------------
% 0.56/0.78  % (22905)------------------------------
% 0.56/0.78  % (22915)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.56/0.78  % (22900)Instruction limit reached!
% 0.56/0.78  % (22900)------------------------------
% 0.56/0.78  % (22900)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (22900)Termination reason: Unknown
% 0.56/0.78  % (22900)Termination phase: Saturation
% 0.56/0.78  
% 0.56/0.78  % (22900)Memory used [KB]: 1248
% 0.56/0.78  % (22900)Time elapsed: 0.028 s
% 0.56/0.78  % (22900)Instructions burned: 51 (million)
% 0.56/0.78  % (22900)------------------------------
% 0.56/0.78  % (22900)------------------------------
% 0.56/0.78  % (22906)Instruction limit reached!
% 0.56/0.78  % (22906)------------------------------
% 0.56/0.78  % (22906)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.78  % (22906)Termination reason: Unknown
% 0.56/0.78  % (22906)Termination phase: Saturation
% 0.56/0.78  
% 0.56/0.78  % (22906)Memory used [KB]: 1759
% 0.56/0.78  % (22906)Time elapsed: 0.030 s
% 0.56/0.78  % (22906)Instructions burned: 86 (million)
% 0.56/0.78  % (22906)------------------------------
% 0.56/0.78  % (22906)------------------------------
% 0.56/0.78  % (22919)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.56/0.78  % (22922)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.56/0.78  % (22921)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.56/0.79  % (22911)Instruction limit reached!
% 0.56/0.79  % (22911)------------------------------
% 0.56/0.79  % (22911)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.79  % (22911)Termination reason: Unknown
% 0.56/0.79  % (22911)Termination phase: Saturation
% 0.56/0.79  
% 0.56/0.79  % (22911)Memory used [KB]: 1780
% 0.56/0.79  % (22911)Time elapsed: 0.019 s
% 0.56/0.79  % (22911)Instructions burned: 55 (million)
% 0.56/0.79  % (22911)------------------------------
% 0.56/0.79  % (22911)------------------------------
% 0.56/0.79  % (22928)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2995ds/117Mi)
% 0.79/0.80  % (22902)First to succeed.
% 0.79/0.80  % (22902)Refutation found. Thanks to Tanya!
% 0.79/0.80  % SZS status Theorem for Vampire---4
% 0.79/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.79/0.80  % (22902)------------------------------
% 0.79/0.80  % (22902)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.80  % (22902)Termination reason: Refutation
% 0.79/0.80  
% 0.79/0.80  % (22902)Memory used [KB]: 1591
% 0.79/0.80  % (22902)Time elapsed: 0.049 s
% 0.79/0.80  % (22902)Instructions burned: 75 (million)
% 0.79/0.80  % (22902)------------------------------
% 0.79/0.80  % (22902)------------------------------
% 0.79/0.80  % (22889)Success in time 0.428 s
% 0.79/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------