TSTP Solution File: GEO648+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO648+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 : n019.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 23:36:55 EDT 2023

% Result   : Theorem 16.00s 2.73s
% Output   : Refutation 16.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  200 (  81 unt;   0 def)
%            Number of atoms       :  441 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  393 ( 152   ~; 129   |;  69   &)
%                                         (   0 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-4 aty)
%            Number of variables   :  624 (; 588   !;  36   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f319836,plain,
    $false,
    inference(subsumption_resolution,[],[f319760,f319835]) ).

fof(f319835,plain,
    midp(sK4,sK0,sK4),
    inference(unit_resulting_resolution,[],[f14114,f319599,f250004]) ).

fof(f250004,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X3,X4,X1,X2)
      | midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(subsumption_resolution,[],[f416,f249554]) ).

fof(f249554,plain,
    ! [X2,X0,X1] : coll(X0,X1,X2),
    inference(unit_resulting_resolution,[],[f236777,f236777,f389]) ).

fof(f389,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | coll(X2,X3,X0)
      | ~ 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.PHi0fbLplQ/Vampire---4.8_32251',ruleD3) ).

fof(f236777,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(unit_resulting_resolution,[],[f232486,f232486,f389]) ).

fof(f232486,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(unit_resulting_resolution,[],[f232483,f372]) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD66) ).

fof(f232483,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(unit_resulting_resolution,[],[f231890,f444]) ).

fof(f444,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f272]) ).

fof(f272,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD39) ).

fof(f231890,plain,
    ! [X0,X1] : eqangle(X0,X1,sK1,sK0,X0,X1,sK1,sK0),
    inference(unit_resulting_resolution,[],[f945,f469]) ).

fof(f469,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    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.PHi0fbLplQ/Vampire---4.8_32251',ruleD19) ).

fof(f945,plain,
    ! [X0,X1] : eqangle(sK1,sK0,X0,X1,sK1,sK0,X0,X1),
    inference(unit_resulting_resolution,[],[f927,f434]) ).

fof(f434,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD40) ).

fof(f927,plain,
    para(sK1,sK0,sK1,sK0),
    inference(unit_resulting_resolution,[],[f730,f726,f450]) ).

fof(f450,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f284]) ).

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

fof(f283,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD9) ).

fof(f726,plain,
    perp(sK10(sK1,sK2,sK7,sK0),sK1,sK1,sK0),
    inference(unit_resulting_resolution,[],[f361,f400]) ).

fof(f400,plain,
    ! [X2,X3,X0,X1] :
      ( perp(sK10(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK10(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f217,f325]) ).

fof(f325,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK10(X0,X1,X2,X3),X0,X0,X3)
        | ~ circle(X3,X0,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    inference(rectify,[],[f87]) ).

fof(f87,axiom,
    ! [X0,X1,X2,X7] :
    ? [X8] :
      ( circle(X7,X0,X1,X2)
     => perp(X8,X0,X0,X7) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleX11) ).

fof(f361,plain,
    circle(sK0,sK1,sK2,sK7),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ( ~ para(sK0,sK3,sK1,sK4)
    & circle(sK0,sK2,sK4,sK8)
    & coll(sK2,sK0,sK4)
    & perp(sK0,sK1,sK1,sK3)
    & perp(sK0,sK2,sK2,sK3)
    & circle(sK0,sK1,sK2,sK7)
    & circle(sK0,sK1,sK5,sK6) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f169,f321]) ).

fof(f321,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ~ para(X0,X3,X1,X4)
        & circle(X0,X2,X4,X8)
        & coll(X2,X0,X4)
        & perp(X0,X1,X1,X3)
        & perp(X0,X2,X2,X3)
        & circle(X0,X1,X2,X7)
        & circle(X0,X1,X5,X6) )
   => ( ~ para(sK0,sK3,sK1,sK4)
      & circle(sK0,sK2,sK4,sK8)
      & coll(sK2,sK0,sK4)
      & perp(sK0,sK1,sK1,sK3)
      & perp(sK0,sK2,sK2,sK3)
      & circle(sK0,sK1,sK2,sK7)
      & circle(sK0,sK1,sK5,sK6) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ para(X0,X3,X1,X4)
      & circle(X0,X2,X4,X8)
      & coll(X2,X0,X4)
      & perp(X0,X1,X1,X3)
      & perp(X0,X2,X2,X3)
      & circle(X0,X1,X2,X7)
      & circle(X0,X1,X5,X6) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ para(X0,X3,X1,X4)
      & circle(X0,X2,X4,X8)
      & coll(X2,X0,X4)
      & perp(X0,X1,X1,X3)
      & perp(X0,X2,X2,X3)
      & circle(X0,X1,X2,X7)
      & circle(X0,X1,X5,X6) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( circle(X0,X2,X4,X8)
          & coll(X2,X0,X4)
          & perp(X0,X1,X1,X3)
          & perp(X0,X2,X2,X3)
          & circle(X0,X1,X2,X7)
          & circle(X0,X1,X5,X6) )
       => para(X0,X3,X1,X4) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
        ( ( circle(X0,X2,X4,X21)
          & coll(X2,X0,X4)
          & perp(X0,X1,X1,X3)
          & perp(X0,X2,X2,X3)
          & circle(X0,X1,X2,X20)
          & circle(X0,X1,X18,X19) )
       => para(X0,X3,X1,X4) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X18,X19,X20,X21] :
      ( ( circle(X0,X2,X4,X21)
        & coll(X2,X0,X4)
        & perp(X0,X1,X1,X3)
        & perp(X0,X2,X2,X3)
        & circle(X0,X1,X2,X20)
        & circle(X0,X1,X18,X19) )
     => para(X0,X3,X1,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',exemplo6GDDFULLmoreE0213) ).

fof(f730,plain,
    perp(sK1,sK0,sK10(sK1,sK2,sK7,sK0),sK1),
    inference(unit_resulting_resolution,[],[f726,f387]) ).

fof(f387,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD8) ).

fof(f416,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X3,X4,X1,X2)
      | ~ coll(X4,X0,X2)
      | midp(X4,X0,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD45) ).

fof(f319599,plain,
    ! [X0] : midp(X0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f319323,f250000]) ).

fof(f250000,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(subsumption_resolution,[],[f374,f249554]) ).

fof(f374,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD67) ).

fof(f319323,plain,
    ! [X0] : cong(X0,sK0,X0,sK0),
    inference(unit_resulting_resolution,[],[f231891,f293391]) ).

fof(f293391,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | cong(X0,X1,X3,X4) ),
    inference(subsumption_resolution,[],[f293390,f291962]) ).

fof(f291962,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(unit_resulting_resolution,[],[f276399,f276399,f422]) ).

fof(f422,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f246]) ).

fof(f246,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD17) ).

fof(f276399,plain,
    ! [X2,X0,X1] : cyclic(sK1,X0,X1,X2),
    inference(unit_resulting_resolution,[],[f266520,f266520,f422]) ).

fof(f266520,plain,
    ! [X0,X1] : cyclic(sK1,sK1,X0,X1),
    inference(unit_resulting_resolution,[],[f256163,f256163,f422]) ).

fof(f256163,plain,
    ! [X0] : cyclic(sK0,sK1,sK1,X0),
    inference(unit_resulting_resolution,[],[f251452,f379]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD14) ).

fof(f251452,plain,
    ! [X0] : cyclic(sK0,sK1,X0,sK1),
    inference(unit_resulting_resolution,[],[f249880,f380]) ).

fof(f380,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f185,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD15) ).

fof(f249880,plain,
    ! [X0] : cyclic(sK0,X0,sK1,sK1),
    inference(unit_resulting_resolution,[],[f945,f236777,f397]) ).

fof(f397,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f211]) ).

fof(f211,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1,X8,X9] :
      ( ( coll(X8,X9,X1)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD42b) ).

fof(f293390,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(subsumption_resolution,[],[f293388,f291962]) ).

fof(f293388,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(subsumption_resolution,[],[f446,f291962]) ).

fof(f446,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f276]) ).

fof(f276,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f275]) ).

fof(f275,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    inference(rectify,[],[f44]) ).

fof(f44,axiom,
    ! [X0,X1,X2,X8,X9,X14] :
      ( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X14)
        & cyclic(X0,X1,X2,X9)
        & cyclic(X0,X1,X2,X8) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD43) ).

fof(f231891,plain,
    ! [X0,X1] : eqangle(X0,X1,sK2,sK0,X0,X1,sK2,sK0),
    inference(unit_resulting_resolution,[],[f1241,f469]) ).

fof(f1241,plain,
    ! [X0,X1] : eqangle(sK2,sK0,X0,X1,sK2,sK0,X0,X1),
    inference(unit_resulting_resolution,[],[f929,f434]) ).

fof(f929,plain,
    para(sK2,sK0,sK2,sK0),
    inference(unit_resulting_resolution,[],[f732,f727,f450]) ).

fof(f727,plain,
    perp(sK10(sK2,sK4,sK8,sK0),sK2,sK2,sK0),
    inference(unit_resulting_resolution,[],[f365,f400]) ).

fof(f365,plain,
    circle(sK0,sK2,sK4,sK8),
    inference(cnf_transformation,[],[f322]) ).

fof(f732,plain,
    perp(sK2,sK0,sK10(sK2,sK4,sK8,sK0),sK2),
    inference(unit_resulting_resolution,[],[f727,f387]) ).

fof(f14114,plain,
    para(sK0,sK4,sK0,sK4),
    inference(unit_resulting_resolution,[],[f7916,f444]) ).

fof(f7916,plain,
    eqangle(sK0,sK4,sK0,sK0,sK0,sK4,sK0,sK0),
    inference(unit_resulting_resolution,[],[f7783,f381]) ).

fof(f381,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ! [X0,X1,X8,X9] :
      ( cyclic(X0,X1,X8,X9)
     => eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD41) ).

fof(f7783,plain,
    cyclic(sK4,sK0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f7654,f7654,f422]) ).

fof(f7654,plain,
    cyclic(sK1,sK4,sK0,sK0),
    inference(unit_resulting_resolution,[],[f585,f1875,f397]) ).

fof(f1875,plain,
    ! [X0,X1] : eqangle(sK0,sK1,X0,X1,sK0,sK1,X0,X1),
    inference(unit_resulting_resolution,[],[f932,f434]) ).

fof(f932,plain,
    para(sK0,sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f740,f731,f450]) ).

fof(f731,plain,
    perp(sK10(sK1,sK2,sK7,sK0),sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f726,f386]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD7) ).

fof(f740,plain,
    perp(sK0,sK1,sK10(sK1,sK2,sK7,sK0),sK1),
    inference(unit_resulting_resolution,[],[f731,f387]) ).

fof(f585,plain,
    coll(sK0,sK0,sK4),
    inference(unit_resulting_resolution,[],[f523,f523,f389]) ).

fof(f523,plain,
    coll(sK4,sK2,sK0),
    inference(unit_resulting_resolution,[],[f520,f371]) ).

fof(f371,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD2) ).

fof(f520,plain,
    coll(sK2,sK4,sK0),
    inference(unit_resulting_resolution,[],[f364,f370]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    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.PHi0fbLplQ/Vampire---4.8_32251',ruleD1) ).

fof(f364,plain,
    coll(sK2,sK0,sK4),
    inference(cnf_transformation,[],[f322]) ).

fof(f319760,plain,
    ~ midp(sK4,sK0,sK4),
    inference(unit_resulting_resolution,[],[f316550,f319599,f415]) ).

fof(f415,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f233]) ).

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

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

fof(f119,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD44) ).

fof(f316550,plain,
    ~ para(sK4,sK8,sK4,sK0),
    inference(unit_resulting_resolution,[],[f315374,f383]) ).

fof(f383,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    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.PHi0fbLplQ/Vampire---4.8_32251',ruleD5) ).

fof(f315374,plain,
    ~ para(sK4,sK0,sK4,sK8),
    inference(unit_resulting_resolution,[],[f293518,f313881,f448]) ).

fof(f448,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f280]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f279]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD10) ).

fof(f313881,plain,
    ~ perp(sK4,sK0,sK2,sK4),
    inference(unit_resulting_resolution,[],[f312861,f387]) ).

fof(f312861,plain,
    ~ perp(sK2,sK4,sK4,sK0),
    inference(unit_resulting_resolution,[],[f312548,f293385]) ).

fof(f293385,plain,
    ! [X2,X3,X0,X1] :
      ( circle(sK12(X0,X1,X2,X3),X0,X1,X2)
      | ~ perp(X0,X2,X2,X1) ),
    inference(subsumption_resolution,[],[f403,f291962]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( circle(sK12(X0,X1,X2,X3),X0,X1,X2)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ perp(X0,X2,X2,X1) ),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ! [X0,X1,X2,X3] :
      ( circle(sK12(X0,X1,X2,X3),X0,X1,X2)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ perp(X0,X2,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f221,f329]) ).

fof(f329,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( circle(X4,X0,X1,X2)
          | ~ cyclic(X0,X1,X2,X3)
          | ~ perp(X0,X2,X2,X1) )
     => ( circle(sK12(X0,X1,X2,X3),X0,X1,X2)
        | ~ cyclic(X0,X1,X2,X3)
        | ~ perp(X0,X2,X2,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f221,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ perp(X0,X2,X2,X1) ),
    inference(flattening,[],[f220]) ).

fof(f220,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ perp(X0,X2,X2,X1) ),
    inference(ennf_transformation,[],[f113]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & perp(X0,X2,X2,X1) )
     => circle(X4,X0,X1,X2) ),
    inference(rectify,[],[f90]) ).

fof(f90,axiom,
    ! [X0,X1,X2,X3] :
    ? [X7] :
      ( ( cyclic(X0,X1,X2,X3)
        & perp(X0,X2,X2,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleX14) ).

fof(f312548,plain,
    ! [X0] : ~ circle(X0,sK2,sK0,sK4),
    inference(unit_resulting_resolution,[],[f311316,f250002]) ).

fof(f250002,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(X0,X1,X1,X2) ),
    inference(subsumption_resolution,[],[f390,f249554]) ).

fof(f390,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2)
      | perp(X0,X1,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.PHi0fbLplQ/Vampire---4.8_32251',ruleD53) ).

fof(f311316,plain,
    ~ perp(sK2,sK0,sK0,sK4),
    inference(unit_resulting_resolution,[],[f297695,f310427,f448]) ).

fof(f310427,plain,
    ~ perp(sK0,sK1,sK0,sK4),
    inference(unit_resulting_resolution,[],[f310139,f387]) ).

fof(f310139,plain,
    ~ perp(sK0,sK4,sK0,sK1),
    inference(unit_resulting_resolution,[],[f232487,f309798,f448]) ).

fof(f309798,plain,
    ~ perp(sK4,sK0,sK0,sK1),
    inference(unit_resulting_resolution,[],[f306282,f293385]) ).

fof(f306282,plain,
    ! [X0] : ~ circle(X0,sK4,sK1,sK0),
    inference(unit_resulting_resolution,[],[f304336,f250002]) ).

fof(f304336,plain,
    ~ perp(sK4,sK1,sK1,sK0),
    inference(unit_resulting_resolution,[],[f297074,f304153,f450]) ).

fof(f304153,plain,
    perp(sK1,sK0,sK0,sK2),
    inference(unit_resulting_resolution,[],[f297632,f304147,f448]) ).

fof(f304147,plain,
    perp(sK3,sK0,sK0,sK2),
    inference(unit_resulting_resolution,[],[f296905,f250002]) ).

fof(f296905,plain,
    ! [X0] : circle(sK12(sK3,sK0,sK2,X0),sK3,sK0,sK2),
    inference(unit_resulting_resolution,[],[f562,f293385]) ).

fof(f562,plain,
    perp(sK3,sK2,sK2,sK0),
    inference(unit_resulting_resolution,[],[f555,f386]) ).

fof(f555,plain,
    perp(sK3,sK2,sK0,sK2),
    inference(unit_resulting_resolution,[],[f549,f387]) ).

fof(f549,plain,
    perp(sK0,sK2,sK3,sK2),
    inference(unit_resulting_resolution,[],[f362,f386]) ).

fof(f362,plain,
    perp(sK0,sK2,sK2,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f297632,plain,
    para(sK1,sK0,sK3,sK0),
    inference(unit_resulting_resolution,[],[f571,f297434,f450]) ).

fof(f297434,plain,
    perp(sK3,sK1,sK3,sK0),
    inference(unit_resulting_resolution,[],[f297406,f386]) ).

fof(f297406,plain,
    perp(sK3,sK1,sK0,sK3),
    inference(unit_resulting_resolution,[],[f297403,f387]) ).

fof(f297403,plain,
    perp(sK0,sK3,sK3,sK1),
    inference(unit_resulting_resolution,[],[f296898,f250002]) ).

fof(f296898,plain,
    ! [X0] : circle(sK12(sK0,sK3,sK1,X0),sK0,sK3,sK1),
    inference(unit_resulting_resolution,[],[f363,f293385]) ).

fof(f363,plain,
    perp(sK0,sK1,sK1,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f571,plain,
    perp(sK1,sK0,sK3,sK1),
    inference(unit_resulting_resolution,[],[f564,f387]) ).

fof(f564,plain,
    perp(sK3,sK1,sK1,sK0),
    inference(unit_resulting_resolution,[],[f556,f386]) ).

fof(f556,plain,
    perp(sK3,sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f550,f387]) ).

fof(f550,plain,
    perp(sK0,sK1,sK3,sK1),
    inference(unit_resulting_resolution,[],[f363,f386]) ).

fof(f297074,plain,
    ~ para(sK4,sK1,sK0,sK2),
    inference(unit_resulting_resolution,[],[f536,f296946,f447]) ).

fof(f447,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f278,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f277]) ).

fof(f277,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/tmp/tmp.PHi0fbLplQ/Vampire---4.8_32251',ruleD6) ).

fof(f296946,plain,
    para(sK0,sK2,sK0,sK3),
    inference(unit_resulting_resolution,[],[f549,f296916,f450]) ).

fof(f296916,plain,
    perp(sK3,sK2,sK0,sK3),
    inference(unit_resulting_resolution,[],[f296913,f387]) ).

fof(f296913,plain,
    perp(sK0,sK3,sK3,sK2),
    inference(unit_resulting_resolution,[],[f296897,f250002]) ).

fof(f296897,plain,
    ! [X0] : circle(sK12(sK0,sK3,sK2,X0),sK0,sK3,sK2),
    inference(unit_resulting_resolution,[],[f362,f293385]) ).

fof(f536,plain,
    ~ para(sK4,sK1,sK0,sK3),
    inference(unit_resulting_resolution,[],[f533,f383]) ).

fof(f533,plain,
    ~ para(sK0,sK3,sK4,sK1),
    inference(unit_resulting_resolution,[],[f366,f382]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    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.PHi0fbLplQ/Vampire---4.8_32251',ruleD4) ).

fof(f366,plain,
    ~ para(sK0,sK3,sK1,sK4),
    inference(cnf_transformation,[],[f322]) ).

fof(f232487,plain,
    ! [X0,X1] : para(X0,X1,X1,X0),
    inference(unit_resulting_resolution,[],[f232483,f382]) ).

fof(f297695,plain,
    para(sK0,sK1,sK2,sK0),
    inference(unit_resulting_resolution,[],[f296922,f297448,f447]) ).

fof(f297448,plain,
    para(sK0,sK1,sK0,sK3),
    inference(unit_resulting_resolution,[],[f550,f297406,f450]) ).

fof(f296922,plain,
    para(sK0,sK3,sK2,sK0),
    inference(unit_resulting_resolution,[],[f562,f296913,f450]) ).

fof(f293518,plain,
    perp(sK4,sK8,sK2,sK4),
    inference(unit_resulting_resolution,[],[f293506,f387]) ).

fof(f293506,plain,
    perp(sK2,sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f365,f250002]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : GEO648+1 : TPTP v8.1.2. Released v7.5.0.
% 0.16/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n019.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Aug 29 19:27:27 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.PHi0fbLplQ/Vampire---4.8_32251
% 0.16/0.37  % (32359)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43  % (32362)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  % (32365)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)
% 0.23/0.43  % (32363)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43  % (32361)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  % (32364)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)
% 0.23/0.44  % (32366)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.48  % (32360)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)
% 16.00/2.72  % (32365)First to succeed.
% 16.00/2.73  % (32365)Refutation found. Thanks to Tanya!
% 16.00/2.73  % SZS status Theorem for Vampire---4
% 16.00/2.73  % SZS output start Proof for Vampire---4
% See solution above
% 16.00/2.73  % (32365)------------------------------
% 16.00/2.73  % (32365)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 16.00/2.73  % (32365)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 16.00/2.73  % (32365)Termination reason: Refutation
% 16.00/2.73  
% 16.00/2.73  % (32365)Memory used [KB]: 72152
% 16.00/2.73  % (32365)Time elapsed: 2.289 s
% 16.00/2.73  % (32365)------------------------------
% 16.00/2.73  % (32365)------------------------------
% 16.00/2.73  % (32359)Success in time 2.332 s
% 16.00/2.73  % Vampire---4.8 exiting
%------------------------------------------------------------------------------