TSTP Solution File: GEO284+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO284+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n021.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 05:10:57 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   99 (  19 unt;   0 def)
%            Number of atoms       :  408 ( 110 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives :  519 ( 210   ~; 224   |;  68   &)
%                                         (  11 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  142 ( 118   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1837,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1602,f1673,f1752,f1755,f1788,f1791,f1797,f1804,f1818,f1826,f1828,f1836]) ).

fof(f1836,plain,
    ~ spl46_29,
    inference(avatar_contradiction_clause,[],[f1835]) ).

fof(f1835,plain,
    ( $false
    | ~ spl46_29 ),
    inference(trivial_inequality_removal,[],[f1830]) ).

fof(f1830,plain,
    ( vd1130 != vd1130
    | ~ spl46_29 ),
    inference(superposition,[],[f874,f1817]) ).

fof(f1817,plain,
    ( vd1130 = vd1126
    | ~ spl46_29 ),
    inference(avatar_component_clause,[],[f1815]) ).

fof(f1815,plain,
    ( spl46_29
  <=> vd1130 = vd1126 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_29])]) ).

fof(f874,plain,
    vd1130 != vd1126,
    inference(definition_unfolding,[],[f603,f858,f608]) ).

fof(f608,plain,
    vd1125 = vd1126,
    inference(cnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ( rpoint(vd1124)
    & vd1123 = vd1124
    & rpoint(vd1126)
    & vd1125 = vd1126
    & rpoint(vd1128)
    & vd1127 = vd1128
    & rpoint(vd1130)
    & vd1129 = vd1130
    & vd1123 != vd1125
    & vd1127 != vd1129
    & rless(vf(vd1127,vd1129),vf(vd1123,vd1125)) ),
    file('/export/starexec/sandbox/tmp/tmp.86oUiMFKG6/Vampire---4.8_4947','and(and(and(and(holds(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1133, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(conjunct2(242)))))), 1132, 0), and(holds(conjunct1(conjunct2(conjunct2(conjunct2(conjunct2(242))))), 1131, 0), and(pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 2), pred(conjunct1(conjunct2(conjunct2(conjunct2(242)))), 1))))), and(pred(conjunct1(conjunct2(conjunct2(242))), 2), pred(conjunct1(conjunct2(conjunct2(242))), 1))), and(pred(conjunct1(conjunct2(242)), 2), pred(conjunct1(conjunct2(242)), 1))), and(pred(conjunct1(242), 2), pred(conjunct1(242), 1)))') ).

fof(f858,plain,
    vd1123 = vd1130,
    inference(definition_unfolding,[],[f587,f604]) ).

fof(f604,plain,
    vd1129 = vd1130,
    inference(cnf_transformation,[],[f13]) ).

fof(f587,plain,
    vd1123 = vd1129,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    vd1123 = vd1129,
    file('/export/starexec/sandbox/tmp/tmp.86oUiMFKG6/Vampire---4.8_4947','holds(258, 1150, 0)') ).

fof(f603,plain,
    vd1123 != vd1125,
    inference(cnf_transformation,[],[f13]) ).

fof(f1828,plain,
    ( spl46_29
    | ~ spl46_21
    | ~ spl46_23
    | spl46_28 ),
    inference(avatar_split_clause,[],[f1827,f1811,f1777,f1741,f1815]) ).

fof(f1741,plain,
    ( spl46_21
  <=> rpoint(vd1130) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_21])]) ).

fof(f1777,plain,
    ( spl46_23
  <=> rpoint(vd1126) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_23])]) ).

fof(f1811,plain,
    ( spl46_28
  <=> rline(sK5(vd1126,vd1130)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_28])]) ).

fof(f1827,plain,
    ( ~ rpoint(vd1126)
    | ~ rpoint(vd1130)
    | vd1130 = vd1126
    | spl46_28 ),
    inference(resolution,[],[f1813,f959]) ).

fof(f959,plain,
    ! [X3,X4] :
      ( rline(sK5(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f958]) ).

fof(f958,plain,
    ! [X3,X1,X4] :
      ( rline(sK5(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f652]) ).

fof(f652,plain,
    ! [X3,X0,X1,X4] :
      ( rline(sK5(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f487]) ).

fof(f487,plain,
    ! [X0,X1] :
      ( ( rline(sK5(X0,X1))
        & ron(X0,sK5(X0,X1))
        & ron(X1,sK5(X0,X1)) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f485,f486]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
     => ( rline(sK5(X0,X1))
        & ron(X0,sK5(X0,X1))
        & ron(X1,sK5(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f485,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rline(X2)
          & ron(X0,X2)
          & ron(X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(rectify,[],[f292]) ).

fof(f292,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(flattening,[],[f291]) ).

fof(f291,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f141]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 )
        & X0 != X1 )
     => ? [X4] :
          ( rline(X4)
          & ron(X0,X4)
          & ron(X1,X4) ) ),
    inference(rectify,[],[f34]) ).

fof(f34,axiom,
    ! [X52,X53] :
      ( ( ? [X55] :
            ( rpoint(X55)
            & X52 = X55 )
        & ? [X54] :
            ( rpoint(X54)
            & X53 = X54 )
        & X52 != X53 )
     => ? [X56] :
          ( rline(X56)
          & ron(X52,X56)
          & ron(X53,X56) ) ),
    file('/export/starexec/sandbox/tmp/tmp.86oUiMFKG6/Vampire---4.8_4947','qu(cond(axiom(51), 0), imp(cond(axiom(51), 0)))') ).

fof(f1813,plain,
    ( ~ rline(sK5(vd1126,vd1130))
    | spl46_28 ),
    inference(avatar_component_clause,[],[f1811]) ).

fof(f1826,plain,
    ( ~ spl46_21
    | ~ spl46_20
    | spl46_3
    | ~ spl46_27 ),
    inference(avatar_split_clause,[],[f1825,f1802,f1605,f1737,f1741]) ).

fof(f1737,plain,
    ( spl46_20
  <=> rpoint(vd1128) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_20])]) ).

fof(f1605,plain,
    ( spl46_3
  <=> vd1130 = vd1128 ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_3])]) ).

fof(f1802,plain,
    ( spl46_27
  <=> ! [X0] :
        ( vd1130 = X0
        | ~ ron(vd1128,sK3(vd1130,X0))
        | ~ rpoint(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_27])]) ).

fof(f1825,plain,
    ( vd1130 = vd1128
    | ~ rpoint(vd1128)
    | ~ rpoint(vd1130)
    | ~ spl46_27 ),
    inference(duplicate_literal_removal,[],[f1824]) ).

fof(f1824,plain,
    ( vd1130 = vd1128
    | ~ rpoint(vd1128)
    | ~ rpoint(vd1130)
    | ~ rpoint(vd1128)
    | vd1130 = vd1128
    | ~ spl46_27 ),
    inference(resolution,[],[f1803,f941]) ).

fof(f941,plain,
    ! [X3,X4] :
      ( ron(X4,sK3(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f940]) ).

fof(f940,plain,
    ! [X3,X1,X4] :
      ( ron(X1,sK3(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f627]) ).

fof(f627,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK3(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f482]) ).

fof(f482,plain,
    ! [X0,X1] :
      ( ( rcircle(sK3(X0,X1))
        & rcenter(X0,sK3(X0,X1))
        & ron(X1,sK3(X0,X1)) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f480,f481]) ).

fof(f481,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rcircle(X2)
          & rcenter(X0,X2)
          & ron(X1,X2) )
     => ( rcircle(sK3(X0,X1))
        & rcenter(X0,sK3(X0,X1))
        & ron(X1,sK3(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f480,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( rcircle(X2)
          & rcenter(X0,X2)
          & ron(X1,X2) )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X0 != X3 )
      | ! [X4] :
          ( ~ rpoint(X4)
          | X1 != X4 )
      | X0 = X1 ),
    inference(rectify,[],[f264]) ).

fof(f264,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rcircle(X4)
          & rcenter(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(flattening,[],[f263]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( rcircle(X4)
          & rcenter(X0,X4)
          & ron(X1,X4) )
      | ! [X2] :
          ( ~ rpoint(X2)
          | X0 != X2 )
      | ! [X3] :
          ( ~ rpoint(X3)
          | X1 != X3 )
      | X0 = X1 ),
    inference(ennf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ( ? [X2] :
            ( rpoint(X2)
            & X0 = X2 )
        & ? [X3] :
            ( rpoint(X3)
            & X1 = X3 )
        & X0 != X1 )
     => ? [X4] :
          ( rcircle(X4)
          & rcenter(X0,X4)
          & ron(X1,X4) ) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X38,X39] :
      ( ( ? [X41] :
            ( rpoint(X41)
            & X38 = X41 )
        & ? [X40] :
            ( rpoint(X40)
            & X39 = X40 )
        & X38 != X39 )
     => ? [X42] :
          ( rcircle(X42)
          & rcenter(X38,X42)
          & ron(X39,X42) ) ),
    file('/export/starexec/sandbox/tmp/tmp.86oUiMFKG6/Vampire---4.8_4947','qu(cond(axiom(53), 0), imp(cond(axiom(53), 0)))') ).

fof(f1803,plain,
    ( ! [X0] :
        ( ~ ron(vd1128,sK3(vd1130,X0))
        | vd1130 = X0
        | ~ rpoint(X0) )
    | ~ spl46_27 ),
    inference(avatar_component_clause,[],[f1802]) ).

fof(f1818,plain,
    ( ~ spl46_28
    | spl46_29
    | ~ spl46_21
    | ~ spl46_23
    | ~ spl46_26 ),
    inference(avatar_split_clause,[],[f1809,f1795,f1777,f1741,f1815,f1811]) ).

fof(f1795,plain,
    ( spl46_26
  <=> ! [X0] :
        ( ~ rpoint(X0)
        | ~ ron(vd1130,sK5(vd1126,X0))
        | ~ rline(sK5(vd1126,X0))
        | vd1126 = X0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_26])]) ).

fof(f1809,plain,
    ( ~ rpoint(vd1126)
    | ~ rpoint(vd1130)
    | vd1130 = vd1126
    | ~ rline(sK5(vd1126,vd1130))
    | ~ spl46_26 ),
    inference(duplicate_literal_removal,[],[f1807]) ).

fof(f1807,plain,
    ( ~ rpoint(vd1126)
    | ~ rpoint(vd1130)
    | vd1130 = vd1126
    | ~ rpoint(vd1130)
    | ~ rline(sK5(vd1126,vd1130))
    | vd1130 = vd1126
    | ~ spl46_26 ),
    inference(resolution,[],[f963,f1796]) ).

fof(f1796,plain,
    ( ! [X0] :
        ( ~ ron(vd1130,sK5(vd1126,X0))
        | ~ rpoint(X0)
        | ~ rline(sK5(vd1126,X0))
        | vd1126 = X0 )
    | ~ spl46_26 ),
    inference(avatar_component_clause,[],[f1795]) ).

fof(f963,plain,
    ! [X3,X4] :
      ( ron(X4,sK5(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f962]) ).

fof(f962,plain,
    ! [X3,X1,X4] :
      ( ron(X1,sK5(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f650]) ).

fof(f650,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X1,sK5(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f487]) ).

fof(f1804,plain,
    ( ~ spl46_21
    | spl46_27
    | ~ spl46_25 ),
    inference(avatar_split_clause,[],[f1800,f1786,f1802,f1741]) ).

fof(f1786,plain,
    ( spl46_25
  <=> ! [X0] :
        ( ~ ron(vd1128,sK3(vd1130,X0))
        | vd1130 = X0
        | ~ rpoint(X0)
        | ~ rcircle(sK3(vd1130,X0)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_25])]) ).

fof(f1800,plain,
    ( ! [X0] :
        ( vd1130 = X0
        | ~ rpoint(X0)
        | ~ ron(vd1128,sK3(vd1130,X0))
        | ~ rpoint(vd1130) )
    | ~ spl46_25 ),
    inference(duplicate_literal_removal,[],[f1799]) ).

fof(f1799,plain,
    ( ! [X0] :
        ( vd1130 = X0
        | ~ rpoint(X0)
        | ~ ron(vd1128,sK3(vd1130,X0))
        | ~ rpoint(vd1130)
        | ~ rpoint(X0)
        | vd1130 = X0 )
    | ~ spl46_25 ),
    inference(resolution,[],[f1787,f937]) ).

fof(f937,plain,
    ! [X3,X4] :
      ( rcircle(sK3(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f936]) ).

fof(f936,plain,
    ! [X3,X1,X4] :
      ( rcircle(sK3(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f629]) ).

fof(f629,plain,
    ! [X3,X0,X1,X4] :
      ( rcircle(sK3(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f482]) ).

fof(f1787,plain,
    ( ! [X0] :
        ( ~ rcircle(sK3(vd1130,X0))
        | vd1130 = X0
        | ~ rpoint(X0)
        | ~ ron(vd1128,sK3(vd1130,X0)) )
    | ~ spl46_25 ),
    inference(avatar_component_clause,[],[f1786]) ).

fof(f1797,plain,
    ( spl46_26
    | ~ spl46_23
    | ~ spl46_2 ),
    inference(avatar_split_clause,[],[f1793,f1600,f1777,f1795]) ).

fof(f1600,plain,
    ( spl46_2
  <=> ! [X0] :
        ( ~ rline(X0)
        | ~ ron(vd1126,X0)
        | ~ ron(vd1130,X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_2])]) ).

fof(f1793,plain,
    ( ! [X0] :
        ( ~ rpoint(vd1126)
        | ~ rpoint(X0)
        | vd1126 = X0
        | ~ rline(sK5(vd1126,X0))
        | ~ ron(vd1130,sK5(vd1126,X0)) )
    | ~ spl46_2 ),
    inference(resolution,[],[f961,f1601]) ).

fof(f1601,plain,
    ( ! [X0] :
        ( ~ ron(vd1126,X0)
        | ~ rline(X0)
        | ~ ron(vd1130,X0) )
    | ~ spl46_2 ),
    inference(avatar_component_clause,[],[f1600]) ).

fof(f961,plain,
    ! [X3,X4] :
      ( ron(X3,sK5(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f960]) ).

fof(f960,plain,
    ! [X3,X1,X4] :
      ( ron(X3,sK5(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f651]) ).

fof(f651,plain,
    ! [X3,X0,X1,X4] :
      ( ron(X0,sK5(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f487]) ).

fof(f1791,plain,
    spl46_23,
    inference(avatar_contradiction_clause,[],[f1789]) ).

fof(f1789,plain,
    ( $false
    | spl46_23 ),
    inference(resolution,[],[f1779,f609]) ).

fof(f609,plain,
    rpoint(vd1126),
    inference(cnf_transformation,[],[f13]) ).

fof(f1779,plain,
    ( ~ rpoint(vd1126)
    | spl46_23 ),
    inference(avatar_component_clause,[],[f1777]) ).

fof(f1788,plain,
    ( ~ spl46_21
    | spl46_25
    | ~ spl46_1 ),
    inference(avatar_split_clause,[],[f1784,f1597,f1786,f1741]) ).

fof(f1597,plain,
    ( spl46_1
  <=> ! [X1] :
        ( ~ rcircle(X1)
        | ~ ron(vd1128,X1)
        | ~ rcenter(vd1130,X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl46_1])]) ).

fof(f1784,plain,
    ( ! [X0] :
        ( ~ ron(vd1128,sK3(vd1130,X0))
        | ~ rcircle(sK3(vd1130,X0))
        | ~ rpoint(vd1130)
        | ~ rpoint(X0)
        | vd1130 = X0 )
    | ~ spl46_1 ),
    inference(resolution,[],[f1598,f939]) ).

fof(f939,plain,
    ! [X3,X4] :
      ( rcenter(X3,sK3(X3,X4))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X3 = X4 ),
    inference(equality_resolution,[],[f938]) ).

fof(f938,plain,
    ! [X3,X1,X4] :
      ( rcenter(X3,sK3(X3,X1))
      | ~ rpoint(X3)
      | ~ rpoint(X4)
      | X1 != X4
      | X1 = X3 ),
    inference(equality_resolution,[],[f628]) ).

fof(f628,plain,
    ! [X3,X0,X1,X4] :
      ( rcenter(X0,sK3(X0,X1))
      | ~ rpoint(X3)
      | X0 != X3
      | ~ rpoint(X4)
      | X1 != X4
      | X0 = X1 ),
    inference(cnf_transformation,[],[f482]) ).

fof(f1598,plain,
    ( ! [X1] :
        ( ~ rcenter(vd1130,X1)
        | ~ ron(vd1128,X1)
        | ~ rcircle(X1) )
    | ~ spl46_1 ),
    inference(avatar_component_clause,[],[f1597]) ).

fof(f1755,plain,
    spl46_21,
    inference(avatar_contradiction_clause,[],[f1753]) ).

fof(f1753,plain,
    ( $false
    | spl46_21 ),
    inference(resolution,[],[f1743,f605]) ).

fof(f605,plain,
    rpoint(vd1130),
    inference(cnf_transformation,[],[f13]) ).

fof(f1743,plain,
    ( ~ rpoint(vd1130)
    | spl46_21 ),
    inference(avatar_component_clause,[],[f1741]) ).

fof(f1752,plain,
    spl46_20,
    inference(avatar_contradiction_clause,[],[f1750]) ).

fof(f1750,plain,
    ( $false
    | spl46_20 ),
    inference(resolution,[],[f1739,f607]) ).

fof(f607,plain,
    rpoint(vd1128),
    inference(cnf_transformation,[],[f13]) ).

fof(f1739,plain,
    ( ~ rpoint(vd1128)
    | spl46_20 ),
    inference(avatar_component_clause,[],[f1737]) ).

fof(f1673,plain,
    ~ spl46_3,
    inference(avatar_split_clause,[],[f875,f1605]) ).

fof(f875,plain,
    vd1130 != vd1128,
    inference(definition_unfolding,[],[f602,f606,f604]) ).

fof(f606,plain,
    vd1127 = vd1128,
    inference(cnf_transformation,[],[f13]) ).

fof(f602,plain,
    vd1127 != vd1129,
    inference(cnf_transformation,[],[f13]) ).

fof(f1602,plain,
    ( spl46_1
    | spl46_2 ),
    inference(avatar_split_clause,[],[f859,f1600,f1597]) ).

fof(f859,plain,
    ! [X0,X1] :
      ( ~ rline(X0)
      | ~ ron(vd1130,X0)
      | ~ ron(vd1126,X0)
      | ~ rcircle(X1)
      | ~ rcenter(vd1130,X1)
      | ~ ron(vd1128,X1) ),
    inference(definition_unfolding,[],[f586,f858,f608,f858,f606]) ).

fof(f586,plain,
    ! [X0,X1] :
      ( ~ rline(X0)
      | ~ ron(vd1123,X0)
      | ~ ron(vd1125,X0)
      | ~ rcircle(X1)
      | ~ rcenter(vd1123,X1)
      | ~ ron(vd1127,X1) ),
    inference(cnf_transformation,[],[f241]) ).

fof(f241,plain,
    ! [X0,X1] :
      ( ~ rline(X0)
      | ~ ron(vd1123,X0)
      | ~ ron(vd1125,X0)
      | ~ rcircle(X1)
      | ~ rcenter(vd1123,X1)
      | ~ ron(vd1127,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ? [X0,X1] :
        ( rline(X0)
        & ron(vd1123,X0)
        & ron(vd1125,X0)
        & rcircle(X1)
        & rcenter(vd1123,X1)
        & ron(vd1127,X1) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ? [X0,X1] :
      ( rline(X0)
      & ron(vd1123,X0)
      & ron(vd1125,X0)
      & rcircle(X1)
      & rcenter(vd1123,X1)
      & ron(vd1127,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.86oUiMFKG6/Vampire---4.8_4947','qe(259)') ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO284+1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.15  % 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
% 0.15/0.36  % Computer : n021.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   : Fri May  3 22:03:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.37  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.86oUiMFKG6/Vampire---4.8_4947
% 0.62/0.78  % (5056)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 (2995ds/34Mi)
% 0.62/0.78  % (5060)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.78  % (5062)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.78  % (5058)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.78  % (5057)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 (2995ds/51Mi)
% 0.62/0.78  % (5061)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 (2995ds/34Mi)
% 0.62/0.78  % (5063)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 (2995ds/83Mi)
% 0.62/0.78  % (5064)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 (2995ds/56Mi)
% 0.62/0.78  % (5060)Refutation not found, incomplete strategy% (5060)------------------------------
% 0.62/0.78  % (5060)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (5060)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (5060)Memory used [KB]: 1389
% 0.62/0.78  % (5060)Time elapsed: 0.005 s
% 0.62/0.78  % (5060)Instructions burned: 7 (million)
% 0.62/0.78  % (5060)------------------------------
% 0.62/0.78  % (5060)------------------------------
% 0.62/0.79  % (5056)Refutation not found, incomplete strategy% (5056)------------------------------
% 0.62/0.79  % (5056)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (5056)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (5056)Memory used [KB]: 1723
% 0.62/0.79  % (5056)Time elapsed: 0.007 s
% 0.62/0.79  % (5056)Instructions burned: 21 (million)
% 0.62/0.79  % (5056)------------------------------
% 0.62/0.79  % (5056)------------------------------
% 0.62/0.79  % (5064)Refutation not found, incomplete strategy% (5064)------------------------------
% 0.62/0.79  % (5064)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (5064)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (5064)Memory used [KB]: 1659
% 0.62/0.79  % (5064)Time elapsed: 0.009 s
% 0.62/0.79  % (5064)Instructions burned: 16 (million)
% 0.62/0.79  % (5062)Refutation not found, incomplete strategy% (5062)------------------------------
% 0.62/0.79  % (5062)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (5064)------------------------------
% 0.62/0.79  % (5064)------------------------------
% 0.62/0.79  % (5062)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (5062)Memory used [KB]: 1829
% 0.62/0.79  % (5062)Time elapsed: 0.009 s
% 0.62/0.79  % (5062)Instructions burned: 19 (million)
% 0.62/0.79  % (5062)------------------------------
% 0.62/0.79  % (5062)------------------------------
% 0.62/0.79  % (5065)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)
% 0.62/0.79  % (5066)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)
% 0.62/0.79  % (5068)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)
% 0.62/0.79  % (5067)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)
% 0.62/0.79  % (5061)Instruction limit reached!
% 0.62/0.79  % (5061)------------------------------
% 0.62/0.79  % (5061)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (5061)Termination reason: Unknown
% 0.62/0.79  % (5061)Termination phase: Saturation
% 0.62/0.79  
% 0.62/0.79  % (5061)Memory used [KB]: 2206
% 0.62/0.79  % (5061)Time elapsed: 0.016 s
% 0.62/0.79  % (5061)Instructions burned: 34 (million)
% 0.62/0.79  % (5061)------------------------------
% 0.62/0.79  % (5061)------------------------------
% 0.62/0.80  % (5058)Refutation not found, incomplete strategy% (5058)------------------------------
% 0.62/0.80  % (5058)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (5058)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (5058)Memory used [KB]: 1880
% 0.62/0.80  % (5058)Time elapsed: 0.016 s
% 0.62/0.80  % (5058)Instructions burned: 36 (million)
% 0.62/0.80  % (5058)------------------------------
% 0.62/0.80  % (5058)------------------------------
% 0.62/0.80  % (5069)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)
% 0.62/0.80  % (5057)First to succeed.
% 0.62/0.80  % (5057)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5055"
% 0.62/0.80  % (5070)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)
% 0.62/0.80  % (5057)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.81  % (5057)------------------------------
% 0.62/0.81  % (5057)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.81  % (5057)Termination reason: Refutation
% 0.62/0.81  
% 0.62/0.81  % (5057)Memory used [KB]: 2245
% 0.62/0.81  % (5057)Time elapsed: 0.025 s
% 0.62/0.81  % (5057)Instructions burned: 50 (million)
% 0.62/0.81  % (5055)Success in time 0.43 s
% 0.62/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------