TSTP Solution File: GEO639+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO639+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n012.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 30 23:36:52 EDT 2023

% Result   : Theorem 157.74s 22.87s
% Output   : Refutation 157.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  380 (  32 unt;   0 def)
%            Number of atoms       : 1123 (   0 equ)
%            Maximal formula atoms :   32 (   2 avg)
%            Number of connectives : 1252 ( 509   ~; 509   |; 156   &)
%                                         (  18 <=>;  60  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   27 (  26 usr;  19 prp; 0-8 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-7 aty)
%            Number of variables   : 1061 (;1003   !;  58   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f368599,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1075,f2358,f3282,f13469,f19512,f20280,f27516,f27536,f62503,f63358,f67142,f69299,f69313,f180189,f187423,f279372,f280868,f281867,f368582]) ).

fof(f368582,plain,
    ( ~ spl36_70
    | ~ spl36_134 ),
    inference(avatar_contradiction_clause,[],[f368581]) ).

fof(f368581,plain,
    ( $false
    | ~ spl36_70
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f368565,f496]) ).

fof(f496,plain,
    midp(sK5,sK2,sK4),
    inference(forward_literal_rewriting,[],[f366,f375]) ).

fof(f375,plain,
    ! [X2,X0,X1] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD11) ).

fof(f366,plain,
    midp(sK5,sK4,sK2),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ( ~ eqangle(sK2,sK6,sK6,sK8,sK8,sK6,sK6,sK7)
    & coll(sK8,sK2,sK3)
    & coll(sK8,sK0,sK1)
    & circle(sK5,sK4,sK7,sK15)
    & coll(sK7,sK1,sK2)
    & circle(sK5,sK4,sK6,sK14)
    & coll(sK6,sK0,sK2)
    & circle(sK5,sK4,sK12,sK13)
    & midp(sK5,sK4,sK2)
    & circle(sK3,sK0,sK4,sK11)
    & coll(sK4,sK2,sK3)
    & circle(sK3,sK0,sK9,sK10)
    & perp(sK1,sK2,sK1,sK3)
    & perp(sK0,sK2,sK0,sK3)
    & ( cong(sK2,sK0,sK2,sK1)
      | cong(sK2,sK0,sK0,sK1) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15])],[f169,f321]) ).

fof(f321,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
        & coll(X8,X2,X3)
        & coll(X8,X0,X1)
        & circle(X5,X4,X7,X15)
        & coll(X7,X1,X2)
        & circle(X5,X4,X6,X14)
        & coll(X6,X0,X2)
        & circle(X5,X4,X12,X13)
        & midp(X5,X4,X2)
        & circle(X3,X0,X4,X11)
        & coll(X4,X2,X3)
        & circle(X3,X0,X9,X10)
        & perp(X1,X2,X1,X3)
        & perp(X0,X2,X0,X3)
        & ( cong(X2,X0,X2,X1)
          | cong(X2,X0,X0,X1) ) )
   => ( ~ eqangle(sK2,sK6,sK6,sK8,sK8,sK6,sK6,sK7)
      & coll(sK8,sK2,sK3)
      & coll(sK8,sK0,sK1)
      & circle(sK5,sK4,sK7,sK15)
      & coll(sK7,sK1,sK2)
      & circle(sK5,sK4,sK6,sK14)
      & coll(sK6,sK0,sK2)
      & circle(sK5,sK4,sK12,sK13)
      & midp(sK5,sK4,sK2)
      & circle(sK3,sK0,sK4,sK11)
      & coll(sK4,sK2,sK3)
      & circle(sK3,sK0,sK9,sK10)
      & perp(sK1,sK2,sK1,sK3)
      & perp(sK0,sK2,sK0,sK3)
      & ( cong(sK2,sK0,sK2,sK1)
        | cong(sK2,sK0,sK0,sK1) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & coll(X8,X2,X3)
      & coll(X8,X0,X1)
      & circle(X5,X4,X7,X15)
      & coll(X7,X1,X2)
      & circle(X5,X4,X6,X14)
      & coll(X6,X0,X2)
      & circle(X5,X4,X12,X13)
      & midp(X5,X4,X2)
      & circle(X3,X0,X4,X11)
      & coll(X4,X2,X3)
      & circle(X3,X0,X9,X10)
      & perp(X1,X2,X1,X3)
      & perp(X0,X2,X0,X3)
      & ( cong(X2,X0,X2,X1)
        | cong(X2,X0,X0,X1) ) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & coll(X8,X2,X3)
      & coll(X8,X0,X1)
      & circle(X5,X4,X7,X15)
      & coll(X7,X1,X2)
      & circle(X5,X4,X6,X14)
      & coll(X6,X0,X2)
      & circle(X5,X4,X12,X13)
      & midp(X5,X4,X2)
      & circle(X3,X0,X4,X11)
      & coll(X4,X2,X3)
      & circle(X3,X0,X9,X10)
      & perp(X1,X2,X1,X3)
      & perp(X0,X2,X0,X3)
      & ( cong(X2,X0,X2,X1)
        | cong(X2,X0,X0,X1) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ( coll(X8,X2,X3)
          & coll(X8,X0,X1)
          & circle(X5,X4,X7,X15)
          & coll(X7,X1,X2)
          & circle(X5,X4,X6,X14)
          & coll(X6,X0,X2)
          & circle(X5,X4,X12,X13)
          & midp(X5,X4,X2)
          & circle(X3,X0,X4,X11)
          & coll(X4,X2,X3)
          & circle(X3,X0,X9,X10)
          & perp(X1,X2,X1,X3)
          & perp(X0,X2,X0,X3)
          & ( cong(X2,X0,X2,X1)
            | cong(X2,X0,X0,X1) ) )
       => eqangle(X2,X6,X6,X8,X8,X6,X6,X7) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X8,X9,X0,X16,X3,X7,X1,X2,X4,X18,X19,X20,X21,X22,X23,X24] :
        ( ( coll(X4,X0,X16)
          & coll(X4,X8,X9)
          & circle(X7,X3,X2,X24)
          & coll(X2,X9,X0)
          & circle(X7,X3,X1,X23)
          & coll(X1,X8,X0)
          & circle(X7,X3,X21,X22)
          & midp(X7,X3,X0)
          & circle(X16,X8,X3,X20)
          & coll(X3,X0,X16)
          & circle(X16,X8,X18,X19)
          & perp(X9,X0,X9,X16)
          & perp(X8,X0,X8,X16)
          & ( cong(X0,X8,X0,X9)
            | cong(X0,X8,X8,X9) ) )
       => eqangle(X0,X1,X1,X4,X4,X1,X1,X2) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X8,X9,X0,X16,X3,X7,X1,X2,X4,X18,X19,X20,X21,X22,X23,X24] :
      ( ( coll(X4,X0,X16)
        & coll(X4,X8,X9)
        & circle(X7,X3,X2,X24)
        & coll(X2,X9,X0)
        & circle(X7,X3,X1,X23)
        & coll(X1,X8,X0)
        & circle(X7,X3,X21,X22)
        & midp(X7,X3,X0)
        & circle(X16,X8,X3,X20)
        & coll(X3,X0,X16)
        & circle(X16,X8,X18,X19)
        & perp(X9,X0,X9,X16)
        & perp(X8,X0,X8,X16)
        & ( cong(X0,X8,X0,X9)
          | cong(X0,X8,X8,X9) ) )
     => eqangle(X0,X1,X1,X4,X4,X1,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',exemplo6GDDFULL81109105) ).

fof(f368565,plain,
    ( ~ midp(sK5,sK2,sK4)
    | ~ spl36_70
    | ~ spl36_134 ),
    inference(resolution,[],[f302723,f166081]) ).

fof(f166081,plain,
    ( ! [X23] : para(X23,sK2,sK2,X23)
    | ~ spl36_134 ),
    inference(resolution,[],[f20308,f20300]) ).

fof(f20300,plain,
    ( ! [X13] : midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X13),X13,sK2)
    | ~ spl36_134 ),
    inference(resolution,[],[f19508,f375]) ).

fof(f19508,plain,
    ( ! [X47] : midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X47),sK2,X47)
    | ~ spl36_134 ),
    inference(avatar_component_clause,[],[f19507]) ).

fof(f19507,plain,
    ( spl36_134
  <=> ! [X47] : midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X47),sK2,X47) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_134])]) ).

fof(f20308,plain,
    ( ! [X31,X29,X30] :
        ( ~ midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X31),X29,X30)
        | para(X29,sK2,X30,X31) )
    | ~ spl36_134 ),
    inference(resolution,[],[f19508,f423]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f233]) ).

fof(f233,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f232]) ).

fof(f232,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    inference(rectify,[],[f64]) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( midp(X6,X2,X3)
        & midp(X6,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD63) ).

fof(f302723,plain,
    ( ! [X16,X15] :
        ( ~ para(X15,sK2,X16,sK5)
        | ~ midp(X15,X16,sK4) )
    | ~ spl36_70 ),
    inference(resolution,[],[f13468,f375]) ).

fof(f13468,plain,
    ( ! [X4,X5] :
        ( ~ midp(X4,sK4,X5)
        | ~ para(X4,sK2,X5,sK5) )
    | ~ spl36_70 ),
    inference(avatar_component_clause,[],[f13467]) ).

fof(f13467,plain,
    ( spl36_70
  <=> ! [X4,X5] :
        ( ~ para(X4,sK2,X5,sK5)
        | ~ midp(X4,sK4,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_70])]) ).

fof(f281867,plain,
    ( ~ spl36_19
    | ~ spl36_33
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(avatar_contradiction_clause,[],[f281866]) ).

fof(f281866,plain,
    ( $false
    | ~ spl36_19
    | ~ spl36_33
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f281865,f270726]) ).

fof(f270726,plain,
    ( ! [X166,X167,X164,X165] : para(X164,X165,X166,X167)
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f270530,f270514]) ).

fof(f270514,plain,
    ( ! [X128,X129] : perp(X128,X129,sK0,sK0)
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f226284,f393]) ).

fof(f393,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD8) ).

fof(f226284,plain,
    ( ! [X138,X137] : perp(sK0,sK0,X137,X138)
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f226031,f167876]) ).

fof(f167876,plain,
    ( ! [X22] : cong(sK0,X22,sK0,X22)
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f166832,f377]) ).

fof(f377,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f172,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD68) ).

fof(f166832,plain,
    ( ! [X78] : midp(sK0,X78,X78)
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f166710,f104345]) ).

fof(f104345,plain,
    ( ! [X70,X69] :
        ( midp(sK0,X69,X70)
        | ~ para(sK2,X69,sK2,X70) )
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f104063,f391]) ).

fof(f391,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD5) ).

fof(f104063,plain,
    ( ! [X70,X69] :
        ( midp(sK0,X69,X70)
        | ~ para(sK2,X70,sK2,X69)
        | ~ para(sK2,X69,sK2,X70) )
    | ~ spl36_324 ),
    inference(resolution,[],[f103093,f425]) ).

fof(f425,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f236]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD64) ).

fof(f103093,plain,
    ( midp(sK0,sK2,sK2)
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f102995,f8271]) ).

fof(f8271,plain,
    coll(sK0,sK2,sK2),
    inference(resolution,[],[f7945,f380]) ).

fof(f380,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f175,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD66) ).

fof(f7945,plain,
    para(sK0,sK2,sK0,sK2),
    inference(resolution,[],[f2861,f361]) ).

fof(f361,plain,
    perp(sK0,sK2,sK0,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f2861,plain,
    ! [X2,X3] :
      ( ~ perp(X2,X3,sK0,sK3)
      | para(sK0,sK2,X2,X3) ),
    inference(resolution,[],[f785,f393]) ).

fof(f785,plain,
    ! [X2,X3] :
      ( ~ perp(sK0,sK3,X2,X3)
      | para(sK0,sK2,X2,X3) ),
    inference(resolution,[],[f361,f457]) ).

fof(f457,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f282]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f281]) ).

fof(f281,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD9) ).

fof(f102995,plain,
    ( midp(sK0,sK2,sK2)
    | ~ coll(sK0,sK2,sK2)
    | ~ spl36_324 ),
    inference(resolution,[],[f69298,f382]) ).

fof(f382,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD67) ).

fof(f69298,plain,
    ( cong(sK0,sK2,sK0,sK2)
    | ~ spl36_324 ),
    inference(avatar_component_clause,[],[f69297]) ).

fof(f69297,plain,
    ( spl36_324
  <=> cong(sK0,sK2,sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_324])]) ).

fof(f166710,plain,
    ( ! [X78] : para(sK2,X78,sK2,X78)
    | ~ spl36_134 ),
    inference(resolution,[],[f166072,f390]) ).

fof(f390,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD4) ).

fof(f166072,plain,
    ( ! [X23] : para(sK2,X23,X23,sK2)
    | ~ spl36_134 ),
    inference(resolution,[],[f20307,f20300]) ).

fof(f20307,plain,
    ( ! [X28,X26,X27] :
        ( ~ midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X27),X26,X28)
        | para(sK2,X26,X27,X28) )
    | ~ spl36_134 ),
    inference(resolution,[],[f19508,f423]) ).

fof(f226031,plain,
    ( ! [X138,X137] :
        ( perp(sK0,sK0,X137,X138)
        | ~ cong(sK0,X138,sK0,X138) )
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f167876,f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD56) ).

fof(f270530,plain,
    ( ! [X166,X167,X164,X165] :
        ( para(X164,X165,X166,X167)
        | ~ perp(X164,X165,sK0,sK0) )
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f226284,f457]) ).

fof(f281865,plain,
    ( ! [X225,X226] : ~ para(sK0,X226,sK26(sK0,sK11,sK4,sK0,sK2),X225)
    | ~ spl36_19
    | ~ spl36_33
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f255132,f281322]) ).

fof(f281322,plain,
    ( ! [X4,X5] : ~ midp(X4,sK3,X5)
    | ~ spl36_33
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f3281,f270726]) ).

fof(f3281,plain,
    ( ! [X4,X5] :
        ( ~ midp(X4,sK3,X5)
        | ~ para(X4,sK2,X5,sK4) )
    | ~ spl36_33 ),
    inference(avatar_component_clause,[],[f3280]) ).

fof(f3280,plain,
    ( spl36_33
  <=> ! [X4,X5] :
        ( ~ para(X4,sK2,X5,sK4)
        | ~ midp(X4,sK3,X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_33])]) ).

fof(f255132,plain,
    ( ! [X225,X226,X227] :
        ( midp(sK34(sK3,X225,sK2,sK4,X226,sK5,X227),sK3,X227)
        | ~ para(sK0,X226,sK26(sK0,sK11,sK4,sK0,sK2),X225) )
    | ~ spl36_19
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f255131,f187400]) ).

fof(f187400,plain,
    ( ! [X16,X14,X15] : coll(X14,X15,X16)
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f187223,f185097]) ).

fof(f185097,plain,
    ( ! [X58,X59] : coll(X58,sK2,X59)
    | ~ spl36_134 ),
    inference(resolution,[],[f180193,f378]) ).

fof(f378,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD1) ).

fof(f180193,plain,
    ( ! [X18,X17] : coll(X17,X18,sK2)
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f180100,f179906]) ).

fof(f179906,plain,
    ( ! [X48] : coll(sK2,sK2,X48)
    | ~ spl36_134 ),
    inference(resolution,[],[f179647,f378]) ).

fof(f179647,plain,
    ( ! [X39] : coll(sK2,X39,sK2)
    | ~ spl36_134 ),
    inference(resolution,[],[f179370,f379]) ).

fof(f379,plain,
    ! [X2,X0,X1] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD2) ).

fof(f179370,plain,
    ( ! [X4] : coll(X4,sK2,sK2)
    | ~ spl36_134 ),
    inference(resolution,[],[f167070,f380]) ).

fof(f167070,plain,
    ( ! [X15] : para(X15,sK2,X15,sK2)
    | ~ spl36_134 ),
    inference(resolution,[],[f166081,f390]) ).

fof(f180100,plain,
    ( ! [X18,X17] :
        ( coll(X17,X18,sK2)
        | ~ coll(sK2,sK2,X18) )
    | ~ spl36_134 ),
    inference(resolution,[],[f179906,f397]) ).

fof(f397,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD3) ).

fof(f187223,plain,
    ( ! [X16,X14,X15] :
        ( coll(X14,X15,X16)
        | ~ coll(X16,sK2,X15) )
    | ~ spl36_134 ),
    inference(resolution,[],[f185097,f397]) ).

fof(f255131,plain,
    ( ! [X225,X226,X227] :
        ( midp(sK34(sK3,X225,sK2,sK4,X226,sK5,X227),sK3,X227)
        | ~ para(sK0,X226,sK26(sK0,sK11,sK4,sK0,sK2),X225)
        | ~ coll(sK4,sK3,X225) )
    | ~ spl36_19
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f255130,f187400]) ).

fof(f255130,plain,
    ( ! [X225,X226,X227] :
        ( midp(sK34(sK3,X225,sK2,sK4,X226,sK5,X227),sK3,X227)
        | ~ coll(X226,sK3,X225)
        | ~ para(sK0,X226,sK26(sK0,sK11,sK4,sK0,sK2),X225)
        | ~ coll(sK4,sK3,X225) )
    | ~ spl36_19
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f254647,f187221]) ).

fof(f187221,plain,
    ( ! [X10,X11] : coll(sK2,X10,X11)
    | ~ spl36_134 ),
    inference(resolution,[],[f185097,f379]) ).

fof(f254647,plain,
    ( ! [X225,X226,X227] :
        ( ~ coll(sK2,sK3,X225)
        | midp(sK34(sK3,X225,sK2,sK4,X226,sK5,X227),sK3,X227)
        | ~ coll(X226,sK3,X225)
        | ~ para(sK0,X226,sK26(sK0,sK11,sK4,sK0,sK2),X225)
        | ~ coll(sK4,sK3,X225) )
    | ~ spl36_19
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f187655,f5253]) ).

fof(f5253,plain,
    ! [X16,X14,X17,X15,X12,X13] :
      ( ~ midp(X16,X12,X17)
      | ~ coll(sK2,X12,X13)
      | midp(sK34(X12,X13,sK2,sK4,X14,sK5,X15),X12,X15)
      | ~ coll(X14,X12,X13)
      | ~ para(X16,X14,X17,X13)
      | ~ coll(sK4,X12,X13) ),
    inference(resolution,[],[f700,f424]) ).

fof(f424,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f235]) ).

fof(f235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f234]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    inference(rectify,[],[f46]) ).

fof(f46,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( coll(X5,X0,X2)
        & para(X4,X5,X1,X2)
        & midp(X4,X0,X1) )
     => midp(X5,X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD45) ).

fof(f700,plain,
    ! [X50,X51,X48,X49] :
      ( ~ midp(X50,X48,X49)
      | ~ coll(sK4,X48,X49)
      | ~ coll(sK2,X48,X49)
      | midp(sK34(X48,X49,sK2,sK4,X50,sK5,X51),X48,X51) ),
    inference(resolution,[],[f496,f470]) ).

fof(f470,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( midp(sK34(X0,X1,X2,X3,X4,X5,X6),X0,X6)
      | ~ coll(X3,X0,X1)
      | ~ coll(X2,X0,X1)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f356]) ).

fof(f356,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( midp(sK34(X0,X1,X2,X3,X4,X5,X6),X0,X6)
      | ~ coll(X3,X0,X1)
      | ~ coll(X2,X0,X1)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f296,f355]) ).

fof(f355,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
      ( ? [X7] :
          ( midp(X7,X0,X6)
          | ~ coll(X3,X0,X1)
          | ~ coll(X2,X0,X1)
          | ~ midp(X5,X2,X3)
          | ~ midp(X4,X0,X1) )
     => ( midp(sK34(X0,X1,X2,X3,X4,X5,X6),X0,X6)
        | ~ coll(X3,X0,X1)
        | ~ coll(X2,X0,X1)
        | ~ midp(X5,X2,X3)
        | ~ midp(X4,X0,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f296,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
    ? [X7] :
      ( midp(X7,X0,X6)
      | ~ coll(X3,X0,X1)
      | ~ coll(X2,X0,X1)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f295]) ).

fof(f295,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
    ? [X7] :
      ( midp(X7,X0,X6)
      | ~ coll(X3,X0,X1)
      | ~ coll(X2,X0,X1)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f151]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3,X4,X5,X6] :
    ? [X7] :
      ( ( coll(X3,X0,X1)
        & coll(X2,X0,X1)
        & midp(X5,X2,X3)
        & midp(X4,X0,X1) )
     => midp(X7,X0,X6) ),
    inference(rectify,[],[f83]) ).

fof(f83,axiom,
    ! [X0,X1,X2,X3,X6,X16,X9] :
    ? [X8] :
      ( ( coll(X3,X0,X1)
        & coll(X2,X0,X1)
        & midp(X16,X2,X3)
        & midp(X6,X0,X1) )
     => midp(X8,X0,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleX7) ).

fof(f187655,plain,
    ( midp(sK0,sK3,sK26(sK0,sK11,sK4,sK0,sK2))
    | ~ spl36_19
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f187654,f168433]) ).

fof(f168433,plain,
    ( ! [X44,X42,X43] :
        ( midp(sK0,X42,X43)
        | ~ para(X44,X42,X44,X43) )
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f167884,f391]) ).

fof(f167884,plain,
    ( ! [X44,X42,X43] :
        ( midp(sK0,X42,X43)
        | ~ para(X44,X43,X44,X42)
        | ~ para(X44,X42,X44,X43) )
    | ~ spl36_134
    | ~ spl36_324 ),
    inference(resolution,[],[f166832,f425]) ).

fof(f187654,plain,
    ( para(sK0,sK3,sK0,sK26(sK0,sK11,sK4,sK0,sK2))
    | ~ spl36_19
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f187598,f180193]) ).

fof(f187598,plain,
    ( ~ coll(sK11,sK0,sK2)
    | para(sK0,sK3,sK0,sK26(sK0,sK11,sK4,sK0,sK2))
    | ~ spl36_19 ),
    inference(resolution,[],[f2354,f2890]) ).

fof(f2890,plain,
    ! [X34,X35,X33] :
      ( ~ perp(X33,X35,X35,X34)
      | ~ coll(X34,sK0,sK2)
      | para(sK0,sK3,X33,sK26(X33,X34,X35,sK0,sK2)) ),
    inference(forward_literal_rewriting,[],[f2889,f390]) ).

fof(f2889,plain,
    ! [X34,X35,X33] :
      ( para(sK0,sK3,sK26(X33,X34,X35,sK0,sK2),X33)
      | ~ coll(X34,sK0,sK2)
      | ~ perp(X33,X35,X35,X34) ),
    inference(forward_literal_rewriting,[],[f2883,f391]) ).

fof(f2883,plain,
    ! [X34,X35,X33] :
      ( para(sK26(X33,X34,X35,sK0,sK2),X33,sK0,sK3)
      | ~ coll(X34,sK0,sK2)
      | ~ perp(X33,X35,X35,X34) ),
    inference(resolution,[],[f786,f435]) ).

fof(f435,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(sK26(X0,X1,X2,X3,X4),X0,X3,X4)
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(cnf_transformation,[],[f342]) ).

fof(f342,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(sK26(X0,X1,X2,X3,X4),X0,X3,X4)
        & coll(sK26(X0,X1,X2,X3,X4),X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f255,f341]) ).

fof(f341,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5] :
          ( ( perp(X5,X0,X3,X4)
            & coll(X5,X3,X4) )
          | ~ coll(X1,X3,X4)
          | ~ perp(X0,X2,X2,X1) )
     => ( ( perp(sK26(X0,X1,X2,X3,X4),X0,X3,X4)
          & coll(sK26(X0,X1,X2,X3,X4),X3,X4) )
        | ~ coll(X1,X3,X4)
        | ~ perp(X0,X2,X2,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f255,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(flattening,[],[f254]) ).

fof(f254,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X1,X3,X4)
        & perp(X0,X2,X2,X1) )
     => ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) ) ),
    inference(rectify,[],[f91]) ).

fof(f91,axiom,
    ! [X0,X1,X2,X4,X5] :
    ? [X8] :
      ( ( coll(X1,X4,X5)
        & perp(X0,X2,X2,X1) )
     => ( perp(X8,X0,X4,X5)
        & coll(X8,X4,X5) ) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleX15) ).

fof(f786,plain,
    ! [X4,X5] :
      ( ~ perp(X4,X5,sK0,sK2)
      | para(X4,X5,sK0,sK3) ),
    inference(resolution,[],[f361,f457]) ).

fof(f2354,plain,
    ( perp(sK0,sK4,sK4,sK11)
    | ~ spl36_19 ),
    inference(avatar_component_clause,[],[f2353]) ).

fof(f2353,plain,
    ( spl36_19
  <=> perp(sK0,sK4,sK4,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_19])]) ).

fof(f280868,plain,
    ( ~ spl36_12
    | ~ spl36_134
    | ~ spl36_296
    | spl36_321
    | ~ spl36_324 ),
    inference(avatar_contradiction_clause,[],[f280867]) ).

fof(f280867,plain,
    ( $false
    | ~ spl36_12
    | ~ spl36_134
    | ~ spl36_296
    | spl36_321
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f280866,f280111]) ).

fof(f280111,plain,
    ( ! [X1008,X1007] : midp(sK0,X1008,X1007)
    | ~ spl36_12
    | ~ spl36_134
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f277764,f270726]) ).

fof(f277764,plain,
    ( ! [X1007,X1008] :
        ( ~ para(sK3,X1007,sK4,X1008)
        | midp(sK0,X1008,X1007) )
    | ~ spl36_12
    | ~ spl36_134
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(resolution,[],[f270726,f205698]) ).

fof(f205698,plain,
    ( ! [X48,X47] :
        ( ~ para(sK3,X47,sK4,X48)
        | ~ para(sK3,X48,sK4,X47)
        | midp(sK0,X47,X48) )
    | ~ spl36_12
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(resolution,[],[f205655,f425]) ).

fof(f205655,plain,
    ( midp(sK0,sK3,sK4)
    | ~ spl36_12
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f1943,f105647]) ).

fof(f105647,plain,
    ( ! [X21,X20] :
        ( ~ midp(sK2,X20,X21)
        | midp(sK0,X20,X21) )
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f105646,f63392]) ).

fof(f63392,plain,
    ( ! [X26,X27] :
        ( para(sK4,X26,sK4,X27)
        | ~ midp(sK2,X26,X27) )
    | ~ spl36_296 ),
    inference(resolution,[],[f62502,f423]) ).

fof(f62502,plain,
    ( midp(sK2,sK4,sK4)
    | ~ spl36_296 ),
    inference(avatar_component_clause,[],[f62501]) ).

fof(f62501,plain,
    ( spl36_296
  <=> midp(sK2,sK4,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_296])]) ).

fof(f105646,plain,
    ( ! [X21,X20] :
        ( midp(sK0,X20,X21)
        | ~ para(sK4,X20,sK4,X21) )
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f105398,f391]) ).

fof(f105398,plain,
    ( ! [X21,X20] :
        ( midp(sK0,X20,X21)
        | ~ para(sK4,X21,sK4,X20)
        | ~ para(sK4,X20,sK4,X21) )
    | ~ spl36_324 ),
    inference(resolution,[],[f104012,f425]) ).

fof(f104012,plain,
    ( midp(sK0,sK4,sK4)
    | ~ spl36_324 ),
    inference(resolution,[],[f103093,f7184]) ).

fof(f7184,plain,
    ! [X1] :
      ( ~ midp(X1,sK2,sK2)
      | midp(X1,sK4,sK4) ),
    inference(subsumption_resolution,[],[f7167,f7082]) ).

fof(f7082,plain,
    para(sK2,sK4,sK2,sK4),
    inference(forward_literal_rewriting,[],[f7081,f390]) ).

fof(f7081,plain,
    para(sK2,sK4,sK4,sK2),
    inference(resolution,[],[f1879,f496]) ).

fof(f1879,plain,
    ! [X14,X15] :
      ( ~ midp(sK5,X15,X14)
      | para(sK2,X14,sK4,X15) ),
    inference(resolution,[],[f684,f375]) ).

fof(f684,plain,
    ! [X6,X7] :
      ( ~ midp(sK5,X6,X7)
      | para(sK2,X6,sK4,X7) ),
    inference(resolution,[],[f496,f423]) ).

fof(f7167,plain,
    ! [X1] :
      ( midp(X1,sK4,sK4)
      | ~ para(sK2,sK4,sK2,sK4)
      | ~ midp(X1,sK2,sK2) ),
    inference(resolution,[],[f7082,f425]) ).

fof(f1943,plain,
    ( midp(sK2,sK3,sK4)
    | ~ spl36_12 ),
    inference(avatar_component_clause,[],[f1942]) ).

fof(f1942,plain,
    ( spl36_12
  <=> midp(sK2,sK3,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_12])]) ).

fof(f280866,plain,
    ( ~ midp(sK0,sK6,sK8)
    | ~ spl36_296
    | spl36_321
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f280858,f105645]) ).

fof(f105645,plain,
    ( ! [X14,X15] :
        ( midp(sK2,X14,X15)
        | ~ midp(sK0,X14,X15) )
    | ~ spl36_296
    | ~ spl36_324 ),
    inference(forward_literal_rewriting,[],[f105395,f63660]) ).

fof(f63660,plain,
    ( ! [X32,X33] :
        ( midp(sK2,X32,X33)
        | ~ para(sK4,X32,sK4,X33) )
    | ~ spl36_296 ),
    inference(subsumption_resolution,[],[f63395,f391]) ).

fof(f63395,plain,
    ( ! [X32,X33] :
        ( midp(sK2,X32,X33)
        | ~ para(sK4,X33,sK4,X32)
        | ~ para(sK4,X32,sK4,X33) )
    | ~ spl36_296 ),
    inference(resolution,[],[f62502,f425]) ).

fof(f105395,plain,
    ( ! [X14,X15] :
        ( para(sK4,X14,sK4,X15)
        | ~ midp(sK0,X14,X15) )
    | ~ spl36_324 ),
    inference(resolution,[],[f104012,f423]) ).

fof(f280858,plain,
    ( ~ midp(sK2,sK6,sK8)
    | spl36_321 ),
    inference(forward_literal_rewriting,[],[f67138,f377]) ).

fof(f67138,plain,
    ( ~ cong(sK2,sK6,sK2,sK8)
    | spl36_321 ),
    inference(avatar_component_clause,[],[f67137]) ).

fof(f67137,plain,
    ( spl36_321
  <=> cong(sK2,sK6,sK2,sK8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_321])]) ).

fof(f279372,plain,
    ( ~ spl36_134
    | spl36_322
    | ~ spl36_324 ),
    inference(avatar_contradiction_clause,[],[f279371]) ).

fof(f279371,plain,
    ( $false
    | ~ spl36_134
    | spl36_322
    | ~ spl36_324 ),
    inference(subsumption_resolution,[],[f67141,f270726]) ).

fof(f67141,plain,
    ( ~ para(sK2,sK8,sK6,sK7)
    | spl36_322 ),
    inference(avatar_component_clause,[],[f67140]) ).

fof(f67140,plain,
    ( spl36_322
  <=> para(sK2,sK8,sK6,sK7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_322])]) ).

fof(f187423,plain,
    ( spl36_20
    | ~ spl36_134 ),
    inference(avatar_contradiction_clause,[],[f187422]) ).

fof(f187422,plain,
    ( $false
    | spl36_20
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f187390,f180193]) ).

fof(f187390,plain,
    ( ~ coll(sK3,sK11,sK2)
    | spl36_20
    | ~ spl36_134 ),
    inference(resolution,[],[f185097,f7130]) ).

fof(f7130,plain,
    ( ! [X1] :
        ( ~ coll(sK11,X1,sK0)
        | ~ coll(sK3,sK11,X1) )
    | spl36_20 ),
    inference(forward_literal_rewriting,[],[f7121,f379]) ).

fof(f7121,plain,
    ( ! [X1] :
        ( ~ coll(sK11,X1,sK0)
        | ~ coll(sK11,sK3,X1) )
    | spl36_20 ),
    inference(resolution,[],[f2364,f378]) ).

fof(f2364,plain,
    ( ! [X0] :
        ( ~ coll(sK11,X0,sK3)
        | ~ coll(sK11,X0,sK0) )
    | spl36_20 ),
    inference(resolution,[],[f2357,f397]) ).

fof(f2357,plain,
    ( ~ coll(sK0,sK3,sK11)
    | spl36_20 ),
    inference(avatar_component_clause,[],[f2356]) ).

fof(f2356,plain,
    ( spl36_20
  <=> coll(sK0,sK3,sK11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_20])]) ).

fof(f180189,plain,
    ( spl36_27
    | ~ spl36_134 ),
    inference(avatar_contradiction_clause,[],[f180188]) ).

fof(f180188,plain,
    ( $false
    | spl36_27
    | ~ spl36_134 ),
    inference(subsumption_resolution,[],[f180074,f179906]) ).

fof(f180074,plain,
    ( ~ coll(sK2,sK2,sK0)
    | spl36_27
    | ~ spl36_134 ),
    inference(resolution,[],[f179906,f174734]) ).

fof(f174734,plain,
    ( ! [X0] :
        ( ~ coll(sK2,X0,sK1)
        | ~ coll(sK2,X0,sK0) )
    | spl36_27 ),
    inference(resolution,[],[f2777,f397]) ).

fof(f2777,plain,
    ( ~ coll(sK0,sK1,sK2)
    | spl36_27 ),
    inference(avatar_component_clause,[],[f2776]) ).

fof(f2776,plain,
    ( spl36_27
  <=> coll(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_27])]) ).

fof(f69313,plain,
    ( ~ spl36_1
    | spl36_323 ),
    inference(avatar_contradiction_clause,[],[f69312]) ).

fof(f69312,plain,
    ( $false
    | ~ spl36_1
    | spl36_323 ),
    inference(subsumption_resolution,[],[f69311,f1071]) ).

fof(f1071,plain,
    ( cong(sK0,sK2,sK1,sK2)
    | ~ spl36_1 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f1070,plain,
    ( spl36_1
  <=> cong(sK0,sK2,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_1])]) ).

fof(f69311,plain,
    ( ~ cong(sK0,sK2,sK1,sK2)
    | ~ spl36_1
    | spl36_323 ),
    inference(forward_literal_rewriting,[],[f69310,f394]) ).

fof(f394,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD23) ).

fof(f69310,plain,
    ( ~ cong(sK0,sK2,sK2,sK1)
    | ~ spl36_1
    | spl36_323 ),
    inference(forward_literal_rewriting,[],[f69309,f40719]) ).

fof(f40719,plain,
    ( ! [X31,X32] :
        ( cong(X31,X32,sK1,sK2)
        | ~ cong(sK0,sK2,X32,X31) )
    | ~ spl36_1 ),
    inference(resolution,[],[f40328,f394]) ).

fof(f40328,plain,
    ( ! [X22,X23] :
        ( ~ cong(sK0,sK2,X22,X23)
        | cong(X22,X23,sK1,sK2) )
    | ~ spl36_1 ),
    inference(resolution,[],[f40274,f395]) ).

fof(f395,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD24) ).

fof(f40274,plain,
    ( ! [X2,X3] :
        ( ~ cong(X2,X3,sK0,sK2)
        | cong(X2,X3,sK1,sK2) )
    | ~ spl36_1 ),
    inference(resolution,[],[f1071,f458]) ).

fof(f458,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f284]) ).

fof(f284,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(flattening,[],[f283]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X2,X3,X4,X5)
        & cong(X0,X1,X2,X3) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD25) ).

fof(f69309,plain,
    ( ~ cong(sK1,sK2,sK1,sK2)
    | spl36_323 ),
    inference(subsumption_resolution,[],[f69303,f8959]) ).

fof(f8959,plain,
    coll(sK1,sK2,sK2),
    inference(resolution,[],[f8020,f380]) ).

fof(f8020,plain,
    para(sK1,sK2,sK1,sK2),
    inference(resolution,[],[f2923,f362]) ).

fof(f362,plain,
    perp(sK1,sK2,sK1,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f2923,plain,
    ! [X2,X3] :
      ( ~ perp(X2,X3,sK1,sK3)
      | para(sK1,sK2,X2,X3) ),
    inference(resolution,[],[f845,f393]) ).

fof(f845,plain,
    ! [X2,X3] :
      ( ~ perp(sK1,sK3,X2,X3)
      | para(sK1,sK2,X2,X3) ),
    inference(resolution,[],[f362,f457]) ).

fof(f69303,plain,
    ( ~ coll(sK1,sK2,sK2)
    | ~ cong(sK1,sK2,sK1,sK2)
    | spl36_323 ),
    inference(resolution,[],[f69295,f382]) ).

fof(f69295,plain,
    ( ~ midp(sK1,sK2,sK2)
    | spl36_323 ),
    inference(avatar_component_clause,[],[f69294]) ).

fof(f69294,plain,
    ( spl36_323
  <=> midp(sK1,sK2,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_323])]) ).

fof(f69299,plain,
    ( ~ spl36_323
    | spl36_324
    | ~ spl36_1 ),
    inference(avatar_split_clause,[],[f40490,f1070,f69297,f69294]) ).

fof(f40490,plain,
    ( cong(sK0,sK2,sK0,sK2)
    | ~ midp(sK1,sK2,sK2)
    | ~ spl36_1 ),
    inference(resolution,[],[f40338,f396]) ).

fof(f396,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(flattening,[],[f193]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    inference(rectify,[],[f56]) ).

fof(f56,axiom,
    ! [X0,X1,X6,X7] :
      ( ( perp(X7,X6,X0,X1)
        & midp(X6,X0,X1) )
     => cong(X7,X0,X7,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD55) ).

fof(f40338,plain,
    ( perp(sK0,sK1,sK2,sK2)
    | ~ spl36_1 ),
    inference(resolution,[],[f40284,f1071]) ).

fof(f40284,plain,
    ( ! [X10] :
        ( ~ cong(sK0,X10,sK1,X10)
        | perp(sK0,sK1,sK2,X10) )
    | ~ spl36_1 ),
    inference(resolution,[],[f1071,f403]) ).

fof(f67142,plain,
    ( ~ spl36_321
    | ~ spl36_322 ),
    inference(avatar_split_clause,[],[f24545,f67140,f67137]) ).

fof(f24545,plain,
    ( ~ para(sK2,sK8,sK6,sK7)
    | ~ cong(sK2,sK6,sK2,sK8) ),
    inference(forward_literal_rewriting,[],[f24544,f391]) ).

fof(f24544,plain,
    ( ~ para(sK6,sK7,sK2,sK8)
    | ~ cong(sK2,sK6,sK2,sK8) ),
    inference(forward_literal_rewriting,[],[f24536,f442]) ).

fof(f442,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD40) ).

fof(f24536,plain,
    ( ~ eqangle(sK6,sK7,sK6,sK8,sK2,sK8,sK6,sK8)
    | ~ cong(sK2,sK6,sK2,sK8) ),
    inference(resolution,[],[f4643,f381]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f176,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ! [X0,X1,X7] :
      ( cong(X7,X0,X7,X1)
     => eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD46) ).

fof(f4643,plain,
    ! [X18,X19,X17,X20] :
      ( ~ eqangle(sK2,sK6,sK6,sK8,X17,X18,X19,X20)
      | ~ eqangle(sK6,sK7,sK6,sK8,X19,X20,X17,X18) ),
    inference(forward_literal_rewriting,[],[f4642,f477]) ).

fof(f477,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f303]) ).

fof(f303,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD19) ).

fof(f4642,plain,
    ! [X18,X19,X17,X20] :
      ( ~ eqangle(sK6,sK8,sK6,sK7,X17,X18,X19,X20)
      | ~ eqangle(sK2,sK6,sK6,sK8,X17,X18,X19,X20) ),
    inference(forward_literal_rewriting,[],[f4638,f478]) ).

fof(f478,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f304]) ).

fof(f304,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f18]) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD18) ).

fof(f4638,plain,
    ! [X18,X19,X17,X20] :
      ( ~ eqangle(sK2,sK6,sK6,sK8,X17,X18,X19,X20)
      | ~ eqangle(sK8,sK6,sK6,sK7,X17,X18,X19,X20) ),
    inference(resolution,[],[f1058,f479]) ).

fof(f479,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f305]) ).

fof(f305,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD20) ).

fof(f1058,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X0,X1,X2,X3,sK8,sK6,sK6,sK7)
      | ~ eqangle(sK2,sK6,sK6,sK8,X0,X1,X2,X3) ),
    inference(resolution,[],[f374,f487]) ).

fof(f487,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f320]) ).

fof(f320,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f319]) ).

fof(f319,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(rectify,[],[f22]) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
      ( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD22) ).

fof(f374,plain,
    ~ eqangle(sK2,sK6,sK6,sK8,sK8,sK6,sK6,sK7),
    inference(cnf_transformation,[],[f322]) ).

fof(f63358,plain,
    spl36_295,
    inference(avatar_contradiction_clause,[],[f63357]) ).

fof(f63357,plain,
    ( $false
    | spl36_295 ),
    inference(subsumption_resolution,[],[f63356,f709]) ).

fof(f709,plain,
    cong(sK2,sK5,sK4,sK5),
    inference(forward_literal_rewriting,[],[f708,f395]) ).

fof(f708,plain,
    cong(sK4,sK5,sK2,sK5),
    inference(forward_literal_rewriting,[],[f707,f394]) ).

fof(f707,plain,
    cong(sK4,sK5,sK5,sK2),
    inference(forward_literal_rewriting,[],[f706,f395]) ).

fof(f706,plain,
    cong(sK5,sK2,sK4,sK5),
    inference(forward_literal_rewriting,[],[f679,f394]) ).

fof(f679,plain,
    cong(sK5,sK2,sK5,sK4),
    inference(resolution,[],[f496,f377]) ).

fof(f63356,plain,
    ( ~ cong(sK2,sK5,sK4,sK5)
    | spl36_295 ),
    inference(forward_literal_rewriting,[],[f63355,f7646]) ).

fof(f7646,plain,
    ! [X22,X23] :
      ( ~ cong(sK2,sK5,X22,X23)
      | cong(X22,X23,sK4,sK5) ),
    inference(resolution,[],[f1144,f395]) ).

fof(f1144,plain,
    ! [X8,X9] :
      ( ~ cong(X8,X9,sK2,sK5)
      | cong(X8,X9,sK4,sK5) ),
    inference(resolution,[],[f709,f458]) ).

fof(f63355,plain,
    ( ~ cong(sK4,sK5,sK4,sK5)
    | spl36_295 ),
    inference(subsumption_resolution,[],[f63348,f62499]) ).

fof(f62499,plain,
    ( ~ cong(sK2,sK4,sK2,sK4)
    | spl36_295 ),
    inference(avatar_component_clause,[],[f62498]) ).

fof(f62498,plain,
    ( spl36_295
  <=> cong(sK2,sK4,sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_295])]) ).

fof(f63348,plain,
    ( cong(sK2,sK4,sK2,sK4)
    | ~ cong(sK4,sK5,sK4,sK5) ),
    inference(resolution,[],[f23285,f481]) ).

fof(f481,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f308]) ).

fof(f308,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f307]) ).

fof(f307,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( cong(X4,X5,X6,X7)
        & eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    inference(rectify,[],[f76]) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( cong(X8,X9,X10,X11)
        & eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD75) ).

fof(f23285,plain,
    eqratio(sK2,sK4,sK2,sK4,sK4,sK5,sK4,sK5),
    inference(subsumption_resolution,[],[f23273,f705]) ).

fof(f705,plain,
    coll(sK2,sK4,sK5),
    inference(forward_literal_rewriting,[],[f704,f378]) ).

fof(f704,plain,
    coll(sK2,sK5,sK4),
    inference(forward_literal_rewriting,[],[f678,f379]) ).

fof(f678,plain,
    coll(sK5,sK2,sK4),
    inference(resolution,[],[f496,f376]) ).

fof(f376,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD69) ).

fof(f23273,plain,
    ( ~ coll(sK2,sK4,sK5)
    | eqratio(sK2,sK4,sK2,sK4,sK4,sK5,sK4,sK5) ),
    inference(resolution,[],[f967,f1874]) ).

fof(f1874,plain,
    para(sK4,sK4,sK5,sK5),
    inference(forward_literal_rewriting,[],[f1867,f391]) ).

fof(f1867,plain,
    para(sK5,sK5,sK4,sK4),
    inference(resolution,[],[f683,f496]) ).

fof(f683,plain,
    ! [X4,X5] :
      ( ~ midp(X4,sK2,X5)
      | para(X4,sK5,X5,sK4) ),
    inference(resolution,[],[f496,f422]) ).

fof(f422,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f231,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f230]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD44) ).

fof(f967,plain,
    ! [X8,X9] :
      ( ~ para(sK4,X8,sK5,X9)
      | ~ coll(sK2,X8,X9)
      | eqratio(sK2,sK4,sK2,X8,sK4,sK5,X8,X9) ),
    inference(forward_literal_rewriting,[],[f948,f475]) ).

fof(f475,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f301]) ).

fof(f301,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD29) ).

fof(f948,plain,
    ! [X8,X9] :
      ( eqratio(sK2,sK4,sK4,sK5,sK2,X8,X8,X9)
      | ~ coll(sK2,X8,X9)
      | ~ para(sK4,X8,sK5,X9) ),
    inference(resolution,[],[f705,f431]) ).

fof(f431,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f248]) ).

fof(f248,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X1,X3)
        & coll(X4,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    inference(rectify,[],[f66]) ).

fof(f66,axiom,
    ! [X0,X1,X2,X3,X7] :
      ( ( coll(X7,X1,X3)
        & coll(X7,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD65) ).

fof(f62503,plain,
    ( ~ spl36_295
    | spl36_296 ),
    inference(avatar_split_clause,[],[f2649,f62501,f62498]) ).

fof(f2649,plain,
    ( midp(sK2,sK4,sK4)
    | ~ cong(sK2,sK4,sK2,sK4) ),
    inference(resolution,[],[f1473,f382]) ).

fof(f1473,plain,
    coll(sK2,sK4,sK4),
    inference(forward_literal_rewriting,[],[f1472,f379]) ).

fof(f1472,plain,
    coll(sK4,sK2,sK4),
    inference(forward_literal_rewriting,[],[f1454,f378]) ).

fof(f1454,plain,
    coll(sK4,sK4,sK2),
    inference(resolution,[],[f729,f498]) ).

fof(f498,plain,
    coll(sK2,sK3,sK4),
    inference(forward_literal_rewriting,[],[f497,f378]) ).

fof(f497,plain,
    coll(sK2,sK4,sK3),
    inference(forward_literal_rewriting,[],[f364,f379]) ).

fof(f364,plain,
    coll(sK4,sK2,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f729,plain,
    ! [X0] :
      ( ~ coll(sK2,sK3,X0)
      | coll(sK4,X0,sK2) ),
    inference(resolution,[],[f498,f397]) ).

fof(f27536,plain,
    ( ~ spl36_27
    | spl36_28
    | ~ spl36_2 ),
    inference(avatar_split_clause,[],[f26743,f1073,f2779,f2776]) ).

fof(f2779,plain,
    ( spl36_28
  <=> midp(sK0,sK1,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_28])]) ).

fof(f1073,plain,
    ( spl36_2
  <=> cong(sK0,sK1,sK0,sK2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).

fof(f26743,plain,
    ( midp(sK0,sK1,sK2)
    | ~ coll(sK0,sK1,sK2)
    | ~ spl36_2 ),
    inference(resolution,[],[f1074,f382]) ).

fof(f1074,plain,
    ( cong(sK0,sK1,sK0,sK2)
    | ~ spl36_2 ),
    inference(avatar_component_clause,[],[f1073]) ).

fof(f27516,plain,
    ( spl36_1
    | ~ spl36_2
    | ~ spl36_28
    | ~ spl36_53 ),
    inference(avatar_contradiction_clause,[],[f27515]) ).

fof(f27515,plain,
    ( $false
    | spl36_1
    | ~ spl36_2
    | ~ spl36_28
    | ~ spl36_53 ),
    inference(subsumption_resolution,[],[f27514,f13499]) ).

fof(f13499,plain,
    ( cong(sK2,sK4,sK2,sK5)
    | ~ spl36_53 ),
    inference(resolution,[],[f6896,f377]) ).

fof(f6896,plain,
    ( midp(sK2,sK4,sK5)
    | ~ spl36_53 ),
    inference(avatar_component_clause,[],[f6895]) ).

fof(f6895,plain,
    ( spl36_53
  <=> midp(sK2,sK4,sK5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_53])]) ).

fof(f27514,plain,
    ( ~ cong(sK2,sK4,sK2,sK5)
    | spl36_1
    | ~ spl36_2
    | ~ spl36_28 ),
    inference(forward_literal_rewriting,[],[f27513,f394]) ).

fof(f27513,plain,
    ( ~ cong(sK2,sK4,sK5,sK2)
    | spl36_1
    | ~ spl36_2
    | ~ spl36_28 ),
    inference(forward_literal_rewriting,[],[f27512,f395]) ).

fof(f27512,plain,
    ( ~ cong(sK5,sK2,sK2,sK4)
    | spl36_1
    | ~ spl36_2
    | ~ spl36_28 ),
    inference(subsumption_resolution,[],[f27505,f27344]) ).

fof(f27344,plain,
    ( ~ cong(sK0,sK1,sK1,sK2)
    | spl36_1
    | ~ spl36_2 ),
    inference(forward_literal_rewriting,[],[f27341,f27066]) ).

fof(f27066,plain,
    ( ! [X22,X23] :
        ( ~ cong(sK0,sK1,X22,X23)
        | cong(X22,X23,sK0,sK2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f26771,f395]) ).

fof(f26771,plain,
    ( ! [X46,X45] :
        ( ~ cong(X45,X46,sK0,sK1)
        | cong(X45,X46,sK0,sK2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f1074,f458]) ).

fof(f27341,plain,
    ( ~ cong(sK1,sK2,sK0,sK2)
    | spl36_1 ),
    inference(resolution,[],[f9530,f395]) ).

fof(f9530,plain,
    ( ~ cong(sK0,sK2,sK1,sK2)
    | spl36_1 ),
    inference(avatar_component_clause,[],[f1070]) ).

fof(f27505,plain,
    ( cong(sK0,sK1,sK1,sK2)
    | ~ cong(sK5,sK2,sK2,sK4)
    | ~ spl36_28 ),
    inference(resolution,[],[f26874,f481]) ).

fof(f26874,plain,
    ( eqratio(sK0,sK1,sK1,sK2,sK5,sK2,sK2,sK4)
    | ~ spl36_28 ),
    inference(resolution,[],[f2780,f692]) ).

fof(f692,plain,
    ! [X24,X25,X23] :
      ( ~ midp(X23,X24,X25)
      | eqratio(X23,X24,X24,X25,sK5,sK2,sK2,sK4) ),
    inference(resolution,[],[f496,f453]) ).

fof(f453,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f274]) ).

fof(f274,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f273]) ).

fof(f273,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqratio(X4,X0,X0,X1,X5,X2,X2,X3)
      | ~ midp(X5,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(X5,X2,X3)
        & midp(X4,X0,X1) )
     => eqratio(X4,X0,X0,X1,X5,X2,X2,X3) ),
    inference(rectify,[],[f71]) ).

fof(f71,axiom,
    ! [X0,X1,X2,X3,X6,X16] :
      ( ( midp(X16,X2,X3)
        & midp(X6,X0,X1) )
     => eqratio(X6,X0,X0,X1,X16,X2,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD70) ).

fof(f2780,plain,
    ( midp(sK0,sK1,sK2)
    | ~ spl36_28 ),
    inference(avatar_component_clause,[],[f2779]) ).

fof(f20280,plain,
    spl36_135,
    inference(avatar_contradiction_clause,[],[f20260]) ).

fof(f20260,plain,
    ( $false
    | spl36_135 ),
    inference(resolution,[],[f19755,f705]) ).

fof(f19755,plain,
    ( ! [X1] : ~ coll(sK2,sK4,X1)
    | spl36_135 ),
    inference(forward_literal_rewriting,[],[f19746,f379]) ).

fof(f19746,plain,
    ( ! [X1] : ~ coll(sK4,sK2,X1)
    | spl36_135 ),
    inference(resolution,[],[f19523,f378]) ).

fof(f19523,plain,
    ( ! [X0] : ~ coll(sK4,X0,sK2)
    | spl36_135 ),
    inference(duplicate_literal_removal,[],[f19518]) ).

fof(f19518,plain,
    ( ! [X0] :
        ( ~ coll(sK4,X0,sK2)
        | ~ coll(sK4,X0,sK2) )
    | spl36_135 ),
    inference(resolution,[],[f19511,f397]) ).

fof(f19511,plain,
    ( ~ coll(sK2,sK2,sK4)
    | spl36_135 ),
    inference(avatar_component_clause,[],[f19510]) ).

fof(f19510,plain,
    ( spl36_135
  <=> coll(sK2,sK2,sK4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_135])]) ).

fof(f19512,plain,
    ( spl36_134
    | ~ spl36_135 ),
    inference(avatar_split_clause,[],[f5234,f19510,f19507]) ).

fof(f5234,plain,
    ! [X47] :
      ( ~ coll(sK2,sK2,sK4)
      | midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X47),sK2,X47) ),
    inference(subsumption_resolution,[],[f5233,f1473]) ).

fof(f5233,plain,
    ! [X47] :
      ( ~ coll(sK2,sK4,sK4)
      | ~ coll(sK2,sK2,sK4)
      | midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X47),sK2,X47) ),
    inference(forward_literal_rewriting,[],[f5227,f379]) ).

fof(f5227,plain,
    ! [X47] :
      ( ~ coll(sK4,sK2,sK4)
      | ~ coll(sK2,sK2,sK4)
      | midp(sK34(sK2,sK4,sK2,sK4,sK5,sK5,X47),sK2,X47) ),
    inference(resolution,[],[f699,f496]) ).

fof(f699,plain,
    ! [X46,X47,X44,X45] :
      ( ~ midp(X46,X44,X45)
      | ~ coll(X45,sK2,sK4)
      | ~ coll(X44,sK2,sK4)
      | midp(sK34(sK2,sK4,X44,X45,sK5,X46,X47),sK2,X47) ),
    inference(resolution,[],[f496,f470]) ).

fof(f13469,plain,
    ( spl36_70
    | spl36_53 ),
    inference(avatar_split_clause,[],[f946,f6895,f13467]) ).

fof(f946,plain,
    ! [X4,X5] :
      ( midp(sK2,sK4,sK5)
      | ~ para(X4,sK2,X5,sK5)
      | ~ midp(X4,sK4,X5) ),
    inference(resolution,[],[f705,f424]) ).

fof(f3282,plain,
    ( spl36_33
    | spl36_12 ),
    inference(avatar_split_clause,[],[f733,f1942,f3280]) ).

fof(f733,plain,
    ! [X4,X5] :
      ( midp(sK2,sK3,sK4)
      | ~ para(X4,sK2,X5,sK4)
      | ~ midp(X4,sK3,X5) ),
    inference(resolution,[],[f498,f424]) ).

fof(f2358,plain,
    ( spl36_19
    | ~ spl36_20 ),
    inference(avatar_split_clause,[],[f924,f2356,f2353]) ).

fof(f924,plain,
    ( ~ coll(sK0,sK3,sK11)
    | perp(sK0,sK4,sK4,sK11) ),
    inference(forward_literal_rewriting,[],[f914,f379]) ).

fof(f914,plain,
    ( perp(sK0,sK4,sK4,sK11)
    | ~ coll(sK3,sK0,sK11) ),
    inference(resolution,[],[f365,f398]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200',ruleD53) ).

fof(f365,plain,
    circle(sK3,sK0,sK4,sK11),
    inference(cnf_transformation,[],[f322]) ).

fof(f1075,plain,
    ( spl36_1
    | spl36_2 ),
    inference(avatar_split_clause,[],[f504,f1073,f1070]) ).

fof(f504,plain,
    ( cong(sK0,sK1,sK0,sK2)
    | cong(sK0,sK2,sK1,sK2) ),
    inference(forward_literal_rewriting,[],[f503,f394]) ).

fof(f503,plain,
    ( cong(sK0,sK1,sK2,sK0)
    | cong(sK0,sK2,sK1,sK2) ),
    inference(forward_literal_rewriting,[],[f502,f395]) ).

fof(f502,plain,
    ( cong(sK0,sK2,sK1,sK2)
    | cong(sK2,sK0,sK0,sK1) ),
    inference(forward_literal_rewriting,[],[f501,f395]) ).

fof(f501,plain,
    ( cong(sK1,sK2,sK0,sK2)
    | cong(sK2,sK0,sK0,sK1) ),
    inference(forward_literal_rewriting,[],[f500,f394]) ).

fof(f500,plain,
    ( cong(sK1,sK2,sK2,sK0)
    | cong(sK2,sK0,sK0,sK1) ),
    inference(forward_literal_rewriting,[],[f499,f395]) ).

fof(f499,plain,
    ( cong(sK2,sK0,sK1,sK2)
    | cong(sK2,sK0,sK0,sK1) ),
    inference(forward_literal_rewriting,[],[f360,f394]) ).

fof(f360,plain,
    ( cong(sK2,sK0,sK2,sK1)
    | cong(sK2,sK0,sK0,sK1) ),
    inference(cnf_transformation,[],[f322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GEO639+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37  % Computer : n012.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 29 22:21:38 EDT 2023
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.EieK8OpXzj/Vampire---4.8_18200
% 0.16/0.37  % (18307)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (18310)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43  % (18312)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43  % (18309)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43  % (18313)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.44  % (18314)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.44  % (18308)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.44  % (18311)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 157.34/22.84  % (18312)First to succeed.
% 157.74/22.87  % (18312)Refutation found. Thanks to Tanya!
% 157.74/22.87  % SZS status Theorem for Vampire---4
% 157.74/22.87  % SZS output start Proof for Vampire---4
% See solution above
% 157.74/22.87  % (18312)------------------------------
% 157.74/22.87  % (18312)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 157.74/22.87  % (18312)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 157.74/22.87  % (18312)Termination reason: Refutation
% 157.74/22.87  
% 157.74/22.87  % (18312)Memory used [KB]: 219783
% 157.74/22.87  % (18312)Time elapsed: 22.412 s
% 157.74/22.87  % (18312)------------------------------
% 157.74/22.87  % (18312)------------------------------
% 157.74/22.87  % (18307)Success in time 22.424 s
% 157.74/22.87  % Vampire---4.8 exiting
%------------------------------------------------------------------------------