TSTP Solution File: GEO604+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO604+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 : n022.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 : Fri Sep  1 14:50:58 EDT 2023

% Result   : Theorem 18.09s 2.99s
% Output   : Refutation 18.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  240 ( 129 unt;   0 def)
%            Number of atoms       :  468 (   0 equ)
%            Maximal formula atoms :   14 (   1 avg)
%            Number of connectives :  356 ( 128   ~; 116   |;  71   &)
%                                         (   0 <=>;  41  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  465 (; 440   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f242455,plain,
    $false,
    inference(subsumption_resolution,[],[f242454,f142997]) ).

fof(f142997,plain,
    cong(sK7,sK9,sK6,sK9),
    inference(unit_resulting_resolution,[],[f89344,f142792,f411]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f208]) ).

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

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

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    inference(rectify,[],[f53]) ).

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD52) ).

fof(f142792,plain,
    perp(sK7,sK6,sK6,sK7),
    inference(subsumption_resolution,[],[f142513,f41024]) ).

fof(f41024,plain,
    cong(sK6,sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f33823,f385]) ).

fof(f385,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD68) ).

fof(f33823,plain,
    midp(sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f903,f13401,f29112,f433]) ).

fof(f433,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD45) ).

fof(f29112,plain,
    midp(sK7,sK7,sK6),
    inference(unit_resulting_resolution,[],[f21336,f383]) ).

fof(f383,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD11) ).

fof(f21336,plain,
    midp(sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f856,f13402,f20385,f433]) ).

fof(f20385,plain,
    midp(sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1024,f14547,f19405,f433]) ).

fof(f19405,plain,
    midp(sK10,sK6,sK10),
    inference(unit_resulting_resolution,[],[f18437,f383]) ).

fof(f18437,plain,
    midp(sK10,sK10,sK6),
    inference(unit_resulting_resolution,[],[f10375,f788,f14548,f433]) ).

fof(f14548,plain,
    para(sK6,sK10,sK10,sK6),
    inference(unit_resulting_resolution,[],[f12728,f12721,f468]) ).

fof(f468,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD9) ).

fof(f12721,plain,
    perp(sK10,sK12(sK10,sK10,sK10,sK6),sK10,sK6),
    inference(unit_resulting_resolution,[],[f11654,f403]) ).

fof(f403,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD8) ).

fof(f11654,plain,
    perp(sK10,sK6,sK10,sK12(sK10,sK10,sK10,sK6)),
    inference(unit_resulting_resolution,[],[f11601,f402]) ).

fof(f402,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD7) ).

fof(f11601,plain,
    perp(sK10,sK6,sK12(sK10,sK10,sK10,sK6),sK10),
    inference(unit_resulting_resolution,[],[f10515,f403]) ).

fof(f10515,plain,
    perp(sK12(sK10,sK10,sK10,sK6),sK10,sK10,sK6),
    inference(unit_resulting_resolution,[],[f10373,f416]) ).

fof(f416,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK12(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f334]) ).

fof(f334,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK12(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f217,f333]) ).

fof(f333,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK12(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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleX11) ).

fof(f10373,plain,
    circle(sK6,sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f10274,f10274,f408]) ).

fof(f408,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f201]) ).

fof(f201,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

fof(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD12) ).

fof(f10274,plain,
    cong(sK6,sK10,sK6,sK10),
    inference(unit_resulting_resolution,[],[f381,f10247,f411]) ).

fof(f10247,plain,
    perp(sK6,sK6,sK6,sK5),
    inference(unit_resulting_resolution,[],[f10224,f402]) ).

fof(f10224,plain,
    perp(sK6,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f10200,f403]) ).

fof(f10200,plain,
    perp(sK5,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f511,f10182,f406]) ).

fof(f406,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD53) ).

fof(f10182,plain,
    circle(sK10,sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f615,f615,f408]) ).

fof(f615,plain,
    cong(sK10,sK5,sK10,sK6),
    inference(unit_resulting_resolution,[],[f501,f385]) ).

fof(f501,plain,
    midp(sK10,sK5,sK6),
    inference(unit_resulting_resolution,[],[f381,f383]) ).

fof(f511,plain,
    coll(sK10,sK5,sK6),
    inference(unit_resulting_resolution,[],[f501,f384]) ).

fof(f384,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD69) ).

fof(f381,plain,
    midp(sK10,sK6,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ( ~ perp(sK7,sK10,sK7,sK9)
    & midp(sK10,sK6,sK5)
    & midp(sK9,sK4,sK8)
    & coll(sK8,sK6,sK7)
    & perp(sK5,sK6,sK4,sK8)
    & coll(sK7,sK4,sK5)
    & perp(sK7,sK6,sK4,sK5) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10])],[f169,f329]) ).

fof(f329,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6] :
        ( ~ perp(X3,X6,X3,X5)
        & midp(X6,X2,X1)
        & midp(X5,X0,X4)
        & coll(X4,X2,X3)
        & perp(X1,X2,X0,X4)
        & coll(X3,X0,X1)
        & perp(X3,X2,X0,X1) )
   => ( ~ perp(sK7,sK10,sK7,sK9)
      & midp(sK10,sK6,sK5)
      & midp(sK9,sK4,sK8)
      & coll(sK8,sK6,sK7)
      & perp(sK5,sK6,sK4,sK8)
      & coll(sK7,sK4,sK5)
      & perp(sK7,sK6,sK4,sK5) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12] :
        ( ( midp(X12,X2,X1)
          & midp(X5,X0,X4)
          & coll(X4,X2,X3)
          & perp(X1,X2,X0,X4)
          & coll(X3,X0,X1)
          & perp(X3,X2,X0,X1) )
       => perp(X3,X12,X3,X5) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12] :
      ( ( midp(X12,X2,X1)
        & midp(X5,X0,X4)
        & coll(X4,X2,X3)
        & perp(X1,X2,X0,X4)
        & coll(X3,X0,X1)
        & perp(X3,X2,X0,X1) )
     => perp(X3,X12,X3,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',exemplo6GDDFULL618066) ).

fof(f12728,plain,
    perp(sK6,sK10,sK10,sK12(sK10,sK10,sK10,sK6)),
    inference(unit_resulting_resolution,[],[f11658,f402]) ).

fof(f11658,plain,
    perp(sK6,sK10,sK12(sK10,sK10,sK10,sK6),sK10),
    inference(unit_resulting_resolution,[],[f11602,f403]) ).

fof(f11602,plain,
    perp(sK12(sK10,sK10,sK10,sK6),sK10,sK6,sK10),
    inference(unit_resulting_resolution,[],[f10515,f402]) ).

fof(f788,plain,
    coll(sK10,sK10,sK6),
    inference(unit_resulting_resolution,[],[f569,f569,f405]) ).

fof(f405,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD3) ).

fof(f569,plain,
    coll(sK6,sK5,sK10),
    inference(unit_resulting_resolution,[],[f538,f386]) ).

fof(f386,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD1) ).

fof(f538,plain,
    coll(sK6,sK10,sK5),
    inference(unit_resulting_resolution,[],[f510,f387]) ).

fof(f387,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD2) ).

fof(f510,plain,
    coll(sK10,sK6,sK5),
    inference(unit_resulting_resolution,[],[f381,f384]) ).

fof(f10375,plain,
    midp(sK6,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1794,f10274,f390]) ).

fof(f390,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD67) ).

fof(f1794,plain,
    coll(sK6,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1178,f387]) ).

fof(f1178,plain,
    coll(sK10,sK6,sK10),
    inference(unit_resulting_resolution,[],[f788,f386]) ).

fof(f14547,plain,
    para(sK10,sK6,sK10,sK6),
    inference(unit_resulting_resolution,[],[f11654,f12721,f468]) ).

fof(f1024,plain,
    coll(sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f870,f870,f405]) ).

fof(f870,plain,
    coll(sK6,sK8,sK6),
    inference(unit_resulting_resolution,[],[f798,f386]) ).

fof(f798,plain,
    coll(sK6,sK6,sK8),
    inference(unit_resulting_resolution,[],[f517,f517,f405]) ).

fof(f517,plain,
    coll(sK8,sK7,sK6),
    inference(unit_resulting_resolution,[],[f379,f386]) ).

fof(f379,plain,
    coll(sK8,sK6,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f13402,plain,
    para(sK6,sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f726,f707,f468]) ).

fof(f707,plain,
    perp(sK4,sK5,sK6,sK7),
    inference(unit_resulting_resolution,[],[f696,f402]) ).

fof(f696,plain,
    perp(sK4,sK5,sK7,sK6),
    inference(unit_resulting_resolution,[],[f376,f403]) ).

fof(f376,plain,
    perp(sK7,sK6,sK4,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f726,plain,
    perp(sK6,sK7,sK4,sK5),
    inference(unit_resulting_resolution,[],[f707,f403]) ).

fof(f856,plain,
    coll(sK7,sK6,sK7),
    inference(unit_resulting_resolution,[],[f790,f386]) ).

fof(f790,plain,
    coll(sK7,sK7,sK6),
    inference(unit_resulting_resolution,[],[f534,f534,f405]) ).

fof(f534,plain,
    coll(sK6,sK8,sK7),
    inference(unit_resulting_resolution,[],[f379,f387]) ).

fof(f13401,plain,
    para(sK7,sK6,sK6,sK7),
    inference(unit_resulting_resolution,[],[f376,f707,f468]) ).

fof(f903,plain,
    coll(sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f535,f838,f405]) ).

fof(f838,plain,
    coll(sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f797,f386]) ).

fof(f797,plain,
    coll(sK7,sK7,sK8),
    inference(unit_resulting_resolution,[],[f379,f379,f405]) ).

fof(f535,plain,
    coll(sK7,sK8,sK6),
    inference(unit_resulting_resolution,[],[f517,f387]) ).

fof(f142513,plain,
    ( perp(sK7,sK6,sK6,sK7)
    | ~ cong(sK6,sK7,sK6,sK7) ),
    inference(duplicate_literal_removal,[],[f141523]) ).

fof(f141523,plain,
    ( perp(sK7,sK6,sK6,sK7)
    | ~ cong(sK6,sK7,sK6,sK7)
    | ~ cong(sK6,sK7,sK6,sK7) ),
    inference(resolution,[],[f409,f83643]) ).

fof(f83643,plain,
    cyclic(sK6,sK6,sK7,sK7),
    inference(unit_resulting_resolution,[],[f790,f14762,f413]) ).

fof(f413,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD42b) ).

fof(f14762,plain,
    ! [X0,X1] : eqangle(sK7,sK6,X0,X1,sK7,sK6,X0,X1),
    inference(unit_resulting_resolution,[],[f13399,f452]) ).

fof(f452,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD40) ).

fof(f13399,plain,
    para(sK7,sK6,sK7,sK6),
    inference(unit_resulting_resolution,[],[f376,f696,f468]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | perp(X2,X0,X0,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f204]) ).

fof(f204,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f203]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f106]) ).

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( ( cyclic(X0,X1,X2,X3)
        & cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X2,X0,X0,X3) ),
    inference(rectify,[],[f58]) ).

fof(f58,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cyclic(X0,X1,X8,X9)
        & cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X8,X0,X0,X9) ),
    file('/export/starexec/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD57) ).

fof(f89344,plain,
    midp(sK9,sK7,sK7),
    inference(unit_resulting_resolution,[],[f13402,f13402,f87082,f434]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | midp(X4,X2,X3)
      | ~ 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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD64) ).

fof(f87082,plain,
    midp(sK9,sK6,sK6),
    inference(unit_resulting_resolution,[],[f5510,f5510,f86221,f434]) ).

fof(f86221,plain,
    midp(sK9,sK5,sK5),
    inference(unit_resulting_resolution,[],[f10649,f13884,f13884,f434]) ).

fof(f13884,plain,
    para(sK4,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f707,f726,f468]) ).

fof(f10649,plain,
    midp(sK9,sK4,sK4),
    inference(unit_resulting_resolution,[],[f1410,f10525,f390]) ).

fof(f10525,plain,
    cong(sK9,sK4,sK9,sK4),
    inference(unit_resulting_resolution,[],[f10345,f10400,f411]) ).

fof(f10400,plain,
    perp(sK9,sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1664,f10287,f406]) ).

fof(f10287,plain,
    circle(sK8,sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f10253,f10253,f408]) ).

fof(f10253,plain,
    cong(sK8,sK9,sK8,sK9),
    inference(unit_resulting_resolution,[],[f500,f10232,f411]) ).

fof(f10232,plain,
    perp(sK8,sK8,sK8,sK4),
    inference(unit_resulting_resolution,[],[f10203,f402]) ).

fof(f10203,plain,
    perp(sK8,sK8,sK4,sK8),
    inference(unit_resulting_resolution,[],[f10188,f403]) ).

fof(f10188,plain,
    perp(sK4,sK8,sK8,sK8),
    inference(unit_resulting_resolution,[],[f508,f10179,f406]) ).

fof(f10179,plain,
    circle(sK9,sK4,sK8,sK8),
    inference(unit_resulting_resolution,[],[f612,f612,f408]) ).

fof(f612,plain,
    cong(sK9,sK4,sK9,sK8),
    inference(unit_resulting_resolution,[],[f380,f385]) ).

fof(f380,plain,
    midp(sK9,sK4,sK8),
    inference(cnf_transformation,[],[f330]) ).

fof(f508,plain,
    coll(sK9,sK4,sK8),
    inference(unit_resulting_resolution,[],[f380,f384]) ).

fof(f500,plain,
    midp(sK9,sK8,sK4),
    inference(unit_resulting_resolution,[],[f380,f383]) ).

fof(f1664,plain,
    coll(sK8,sK9,sK9),
    inference(unit_resulting_resolution,[],[f508,f1143,f405]) ).

fof(f1143,plain,
    coll(sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f782,f386]) ).

fof(f782,plain,
    coll(sK9,sK9,sK4),
    inference(unit_resulting_resolution,[],[f565,f565,f405]) ).

fof(f565,plain,
    coll(sK4,sK8,sK9),
    inference(unit_resulting_resolution,[],[f536,f386]) ).

fof(f536,plain,
    coll(sK4,sK9,sK8),
    inference(unit_resulting_resolution,[],[f508,f387]) ).

fof(f10345,plain,
    midp(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1666,f10267,f390]) ).

fof(f10267,plain,
    cong(sK4,sK9,sK4,sK9),
    inference(unit_resulting_resolution,[],[f380,f10242,f411]) ).

fof(f10242,plain,
    perp(sK4,sK4,sK4,sK8),
    inference(unit_resulting_resolution,[],[f10217,f402]) ).

fof(f10217,plain,
    perp(sK4,sK4,sK8,sK4),
    inference(unit_resulting_resolution,[],[f10196,f403]) ).

fof(f10196,plain,
    perp(sK8,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f509,f10180,f406]) ).

fof(f10180,plain,
    circle(sK9,sK8,sK4,sK4),
    inference(unit_resulting_resolution,[],[f613,f613,f408]) ).

fof(f613,plain,
    cong(sK9,sK8,sK9,sK4),
    inference(unit_resulting_resolution,[],[f500,f385]) ).

fof(f509,plain,
    coll(sK9,sK8,sK4),
    inference(unit_resulting_resolution,[],[f500,f384]) ).

fof(f1666,plain,
    coll(sK4,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1143,f387]) ).

fof(f1410,plain,
    coll(sK9,sK4,sK4),
    inference(unit_resulting_resolution,[],[f979,f387]) ).

fof(f979,plain,
    coll(sK4,sK9,sK4),
    inference(unit_resulting_resolution,[],[f801,f386]) ).

fof(f801,plain,
    coll(sK4,sK4,sK9),
    inference(unit_resulting_resolution,[],[f509,f509,f405]) ).

fof(f5510,plain,
    para(sK5,sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f5482,f398]) ).

fof(f398,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD4) ).

fof(f5482,plain,
    para(sK5,sK6,sK6,sK5),
    inference(unit_resulting_resolution,[],[f501,f381,f431]) ).

fof(f431,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f231]) ).

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

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

fof(f118,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD63) ).

fof(f242454,plain,
    ~ cong(sK7,sK9,sK6,sK9),
    inference(subsumption_resolution,[],[f242453,f142998]) ).

fof(f142998,plain,
    cong(sK7,sK10,sK6,sK10),
    inference(unit_resulting_resolution,[],[f86435,f142792,f411]) ).

fof(f86435,plain,
    midp(sK10,sK7,sK7),
    inference(unit_resulting_resolution,[],[f10734,f13402,f13402,f434]) ).

fof(f10734,plain,
    midp(sK10,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1451,f10538,f390]) ).

fof(f10538,plain,
    cong(sK10,sK6,sK10,sK6),
    inference(unit_resulting_resolution,[],[f10375,f10408,f411]) ).

fof(f10408,plain,
    perp(sK10,sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f1792,f10315,f406]) ).

fof(f10315,plain,
    circle(sK5,sK10,sK10,sK10),
    inference(unit_resulting_resolution,[],[f10260,f10260,f408]) ).

fof(f10260,plain,
    cong(sK5,sK10,sK5,sK10),
    inference(unit_resulting_resolution,[],[f501,f10237,f411]) ).

fof(f10237,plain,
    perp(sK5,sK5,sK5,sK6),
    inference(unit_resulting_resolution,[],[f10210,f402]) ).

fof(f10210,plain,
    perp(sK5,sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f10192,f403]) ).

fof(f10192,plain,
    perp(sK6,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f510,f10181,f406]) ).

fof(f10181,plain,
    circle(sK10,sK6,sK5,sK5),
    inference(unit_resulting_resolution,[],[f614,f614,f408]) ).

fof(f614,plain,
    cong(sK10,sK6,sK10,sK5),
    inference(unit_resulting_resolution,[],[f381,f385]) ).

fof(f1792,plain,
    coll(sK5,sK10,sK10),
    inference(unit_resulting_resolution,[],[f510,f1178,f405]) ).

fof(f1451,plain,
    coll(sK10,sK6,sK6),
    inference(unit_resulting_resolution,[],[f990,f387]) ).

fof(f990,plain,
    coll(sK6,sK10,sK6),
    inference(unit_resulting_resolution,[],[f803,f386]) ).

fof(f803,plain,
    coll(sK6,sK6,sK10),
    inference(unit_resulting_resolution,[],[f511,f511,f405]) ).

fof(f242453,plain,
    ( ~ cong(sK7,sK10,sK6,sK10)
    | ~ cong(sK7,sK9,sK6,sK9) ),
    inference(subsumption_resolution,[],[f242449,f695]) ).

fof(f695,plain,
    ~ perp(sK9,sK7,sK7,sK10),
    inference(unit_resulting_resolution,[],[f684,f403]) ).

fof(f684,plain,
    ~ perp(sK7,sK10,sK9,sK7),
    inference(unit_resulting_resolution,[],[f382,f402]) ).

fof(f382,plain,
    ~ perp(sK7,sK10,sK7,sK9),
    inference(cnf_transformation,[],[f330]) ).

fof(f242449,plain,
    ( perp(sK9,sK7,sK7,sK10)
    | ~ cong(sK7,sK10,sK6,sK10)
    | ~ cong(sK7,sK9,sK6,sK9) ),
    inference(resolution,[],[f119302,f409]) ).

fof(f119302,plain,
    cyclic(sK7,sK6,sK9,sK10),
    inference(unit_resulting_resolution,[],[f103927,f109891,f439]) ).

fof(f439,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD17) ).

fof(f109891,plain,
    cyclic(sK6,sK7,sK6,sK9),
    inference(unit_resulting_resolution,[],[f103316,f394]) ).

fof(f394,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD16) ).

fof(f103316,plain,
    cyclic(sK7,sK6,sK6,sK9),
    inference(unit_resulting_resolution,[],[f84911,f395]) ).

fof(f395,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD14) ).

fof(f84911,plain,
    cyclic(sK7,sK6,sK9,sK6),
    inference(unit_resulting_resolution,[],[f83632,f396]) ).

fof(f396,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/sandbox2/tmp/tmp.uotINLiZnB/Vampire---4.8_5074',ruleD15) ).

fof(f83632,plain,
    cyclic(sK7,sK9,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1985,f14799,f413]) ).

fof(f14799,plain,
    ! [X0,X1] : eqangle(sK6,sK7,X0,X1,sK6,sK7,X0,X1),
    inference(unit_resulting_resolution,[],[f13402,f452]) ).

fof(f1985,plain,
    coll(sK6,sK6,sK9),
    inference(unit_resulting_resolution,[],[f1290,f1290,f405]) ).

fof(f1290,plain,
    coll(sK9,sK8,sK6),
    inference(unit_resulting_resolution,[],[f942,f386]) ).

fof(f942,plain,
    coll(sK9,sK6,sK8),
    inference(unit_resulting_resolution,[],[f800,f789,f405]) ).

fof(f789,plain,
    coll(sK8,sK8,sK6),
    inference(unit_resulting_resolution,[],[f553,f553,f405]) ).

fof(f553,plain,
    coll(sK6,sK7,sK8),
    inference(unit_resulting_resolution,[],[f534,f386]) ).

fof(f800,plain,
    coll(sK8,sK8,sK9),
    inference(unit_resulting_resolution,[],[f508,f508,f405]) ).

fof(f103927,plain,
    cyclic(sK6,sK7,sK6,sK10),
    inference(unit_resulting_resolution,[],[f85107,f394]) ).

fof(f85107,plain,
    cyclic(sK7,sK6,sK6,sK10),
    inference(unit_resulting_resolution,[],[f84231,f395]) ).

fof(f84231,plain,
    cyclic(sK7,sK6,sK10,sK6),
    inference(unit_resulting_resolution,[],[f83633,f396]) ).

fof(f83633,plain,
    cyclic(sK7,sK10,sK6,sK6),
    inference(unit_resulting_resolution,[],[f803,f14799,f413]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO604+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n022.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 30 18:07:53 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.42  % (5251)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (5256)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43  % (5253)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.43  % (5254)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.43  % (5255)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.43  % (5257)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.43  % (5258)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.43  % (5259)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.43  TRYING [1]
% 0.22/0.43  TRYING [2]
% 0.22/0.47  TRYING [3]
% 0.22/0.50  TRYING [1]
% 0.87/0.53  TRYING [2]
% 3.75/0.94  TRYING [1]
% 3.75/0.94  TRYING [2]
% 3.75/0.98  TRYING [3]
% 5.34/1.17  TRYING [3]
% 18.09/2.97  % (5259)First to succeed.
% 18.09/2.99  % (5259)Refutation found. Thanks to Tanya!
% 18.09/2.99  % SZS status Theorem for Vampire---4
% 18.09/2.99  % SZS output start Proof for Vampire---4
% See solution above
% 18.09/2.99  % (5259)------------------------------
% 18.09/2.99  % (5259)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 18.09/2.99  % (5259)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 18.09/2.99  % (5259)Termination reason: Refutation
% 18.09/2.99  
% 18.09/2.99  % (5259)Memory used [KB]: 89422
% 18.09/2.99  % (5259)Time elapsed: 2.550 s
% 18.09/2.99  % (5259)------------------------------
% 18.09/2.99  % (5259)------------------------------
% 18.09/2.99  % (5251)Success in time 2.579 s
% 18.09/2.99  % Vampire---4.8 exiting
%------------------------------------------------------------------------------