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

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---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 : n018.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 23:36:38 EDT 2023

% Result   : Theorem 13.93s 2.38s
% Output   : Refutation 13.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  278 ( 195 unt;   0 def)
%            Number of atoms       :  452 (   0 equ)
%            Maximal formula atoms :   14 (   1 avg)
%            Number of connectives :  266 (  92   ~;  80   |;  62   &)
%                                         (   0 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :  348 (; 323   !;  25   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f247473,plain,
    $false,
    inference(subsumption_resolution,[],[f246671,f187560]) ).

fof(f187560,plain,
    ~ cong(sK6,sK5,sK6,sK3),
    inference(unit_resulting_resolution,[],[f4089,f67818,f392]) ).

fof(f392,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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',ruleD12) ).

fof(f67818,plain,
    cong(sK6,sK5,sK6,sK6),
    inference(unit_resulting_resolution,[],[f66418,f369]) ).

fof(f369,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.VRUmoETHAO/Vampire---4.8_18337',ruleD68) ).

fof(f66418,plain,
    midp(sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f3620,f7882,f65562,f416]) ).

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.VRUmoETHAO/Vampire---4.8_18337',ruleD45) ).

fof(f65562,plain,
    midp(sK1,sK5,sK1),
    inference(unit_resulting_resolution,[],[f1596,f6870,f65107,f416]) ).

fof(f65107,plain,
    midp(sK0,sK5,sK0),
    inference(unit_resulting_resolution,[],[f64855,f367]) ).

fof(f367,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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',ruleD11) ).

fof(f64855,plain,
    midp(sK0,sK0,sK5),
    inference(unit_resulting_resolution,[],[f4325,f682,f7875,f416]) ).

fof(f7875,plain,
    para(sK5,sK0,sK0,sK5),
    inference(unit_resulting_resolution,[],[f4612,f4740,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.VRUmoETHAO/Vampire---4.8_18337',ruleD9) ).

fof(f4740,plain,
    perp(sK5,sK8(sK5,sK5,sK5,sK0),sK0,sK5),
    inference(unit_resulting_resolution,[],[f4655,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.VRUmoETHAO/Vampire---4.8_18337',ruleD7) ).

fof(f4655,plain,
    perp(sK5,sK8(sK5,sK5,sK5,sK0),sK5,sK0),
    inference(unit_resulting_resolution,[],[f4612,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.VRUmoETHAO/Vampire---4.8_18337',ruleD8) ).

fof(f4612,plain,
    perp(sK5,sK0,sK5,sK8(sK5,sK5,sK5,sK0)),
    inference(unit_resulting_resolution,[],[f4595,f386]) ).

fof(f4595,plain,
    perp(sK5,sK0,sK8(sK5,sK5,sK5,sK0),sK5),
    inference(unit_resulting_resolution,[],[f4263,f387]) ).

fof(f4263,plain,
    perp(sK8(sK5,sK5,sK5,sK0),sK5,sK5,sK0),
    inference(unit_resulting_resolution,[],[f4216,f400]) ).

fof(f400,plain,
    ! [X2,X3,X0,X1] :
      ( perp(sK8(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f326]) ).

fof(f326,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK8(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f217,f325]) ).

fof(f325,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK8(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.VRUmoETHAO/Vampire---4.8_18337',ruleX11) ).

fof(f4216,plain,
    circle(sK0,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f4177,f4177,f392]) ).

fof(f4177,plain,
    cong(sK0,sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f364,f4166,f395]) ).

fof(f395,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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',ruleD52) ).

fof(f4166,plain,
    perp(sK0,sK0,sK0,sK4),
    inference(unit_resulting_resolution,[],[f4155,f386]) ).

fof(f4155,plain,
    perp(sK0,sK0,sK4,sK0),
    inference(unit_resulting_resolution,[],[f4146,f387]) ).

fof(f4146,plain,
    perp(sK4,sK0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f525,f4138,f390]) ).

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.VRUmoETHAO/Vampire---4.8_18337',ruleD53) ).

fof(f4138,plain,
    circle(sK5,sK4,sK0,sK0),
    inference(unit_resulting_resolution,[],[f577,f577,f392]) ).

fof(f577,plain,
    cong(sK5,sK4,sK5,sK0),
    inference(unit_resulting_resolution,[],[f520,f369]) ).

fof(f520,plain,
    midp(sK5,sK4,sK0),
    inference(unit_resulting_resolution,[],[f364,f367]) ).

fof(f525,plain,
    coll(sK5,sK4,sK0),
    inference(unit_resulting_resolution,[],[f520,f368]) ).

fof(f368,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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',ruleD69) ).

fof(f364,plain,
    midp(sK5,sK0,sK4),
    inference(cnf_transformation,[],[f322]) ).

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

fof(f321,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(sK3,sK6,sK3,sK5)
      & midp(sK6,sK2,sK1)
      & midp(sK5,sK0,sK4)
      & coll(sK4,sK2,sK3)
      & perp(sK1,sK2,sK0,sK4)
      & coll(sK3,sK0,sK1)
      & perp(sK3,sK2,sK0,sK1) ) ),
    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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',exemplo6GDDFULL618066) ).

fof(f682,plain,
    coll(sK0,sK0,sK5),
    inference(unit_resulting_resolution,[],[f525,f525,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.VRUmoETHAO/Vampire---4.8_18337',ruleD3) ).

fof(f4325,plain,
    midp(sK5,sK0,sK0),
    inference(unit_resulting_resolution,[],[f1081,f4273,f374]) ).

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.VRUmoETHAO/Vampire---4.8_18337',ruleD67) ).

fof(f4273,plain,
    cong(sK5,sK0,sK5,sK0),
    inference(unit_resulting_resolution,[],[f4218,f4248,f395]) ).

fof(f4248,plain,
    perp(sK5,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f1263,f4186,f390]) ).

fof(f4186,plain,
    circle(sK4,sK5,sK5,sK5),
    inference(unit_resulting_resolution,[],[f4171,f4171,f392]) ).

fof(f4171,plain,
    cong(sK4,sK5,sK4,sK5),
    inference(unit_resulting_resolution,[],[f520,f4162,f395]) ).

fof(f4162,plain,
    perp(sK4,sK4,sK4,sK0),
    inference(unit_resulting_resolution,[],[f4149,f386]) ).

fof(f4149,plain,
    perp(sK4,sK4,sK0,sK4),
    inference(unit_resulting_resolution,[],[f4142,f387]) ).

fof(f4142,plain,
    perp(sK0,sK4,sK4,sK4),
    inference(unit_resulting_resolution,[],[f524,f4137,f390]) ).

fof(f4137,plain,
    circle(sK5,sK0,sK4,sK4),
    inference(unit_resulting_resolution,[],[f576,f576,f392]) ).

fof(f576,plain,
    cong(sK5,sK0,sK5,sK4),
    inference(unit_resulting_resolution,[],[f364,f369]) ).

fof(f524,plain,
    coll(sK5,sK0,sK4),
    inference(unit_resulting_resolution,[],[f364,f368]) ).

fof(f1263,plain,
    coll(sK4,sK5,sK5),
    inference(unit_resulting_resolution,[],[f524,f898,f389]) ).

fof(f898,plain,
    coll(sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f663,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.VRUmoETHAO/Vampire---4.8_18337',ruleD1) ).

fof(f663,plain,
    coll(sK5,sK5,sK0),
    inference(unit_resulting_resolution,[],[f553,f553,f389]) ).

fof(f553,plain,
    coll(sK0,sK4,sK5),
    inference(unit_resulting_resolution,[],[f540,f370]) ).

fof(f540,plain,
    coll(sK0,sK5,sK4),
    inference(unit_resulting_resolution,[],[f524,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.VRUmoETHAO/Vampire---4.8_18337',ruleD2) ).

fof(f4218,plain,
    midp(sK0,sK5,sK5),
    inference(unit_resulting_resolution,[],[f1265,f4177,f374]) ).

fof(f1265,plain,
    coll(sK0,sK5,sK5),
    inference(unit_resulting_resolution,[],[f898,f371]) ).

fof(f1081,plain,
    coll(sK5,sK0,sK0),
    inference(unit_resulting_resolution,[],[f788,f371]) ).

fof(f788,plain,
    coll(sK0,sK5,sK0),
    inference(unit_resulting_resolution,[],[f682,f370]) ).

fof(f6870,plain,
    para(sK0,sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f628,f639,f450]) ).

fof(f639,plain,
    perp(sK2,sK3,sK0,sK1),
    inference(unit_resulting_resolution,[],[f628,f387]) ).

fof(f628,plain,
    perp(sK0,sK1,sK2,sK3),
    inference(unit_resulting_resolution,[],[f621,f386]) ).

fof(f621,plain,
    perp(sK0,sK1,sK3,sK2),
    inference(unit_resulting_resolution,[],[f360,f387]) ).

fof(f360,plain,
    perp(sK3,sK2,sK0,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f1596,plain,
    coll(sK1,sK5,sK1),
    inference(unit_resulting_resolution,[],[f698,f1076,f389]) ).

fof(f1076,plain,
    coll(sK1,sK0,sK5),
    inference(unit_resulting_resolution,[],[f785,f370]) ).

fof(f785,plain,
    coll(sK1,sK5,sK0),
    inference(unit_resulting_resolution,[],[f667,f682,f389]) ).

fof(f667,plain,
    coll(sK0,sK0,sK1),
    inference(unit_resulting_resolution,[],[f537,f537,f389]) ).

fof(f537,plain,
    coll(sK1,sK3,sK0),
    inference(unit_resulting_resolution,[],[f528,f371]) ).

fof(f528,plain,
    coll(sK3,sK1,sK0),
    inference(unit_resulting_resolution,[],[f361,f370]) ).

fof(f361,plain,
    coll(sK3,sK0,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f698,plain,
    coll(sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f662,f370]) ).

fof(f662,plain,
    coll(sK1,sK1,sK0),
    inference(unit_resulting_resolution,[],[f536,f536,f389]) ).

fof(f536,plain,
    coll(sK0,sK3,sK1),
    inference(unit_resulting_resolution,[],[f361,f371]) ).

fof(f7882,plain,
    para(sK1,sK6,sK1,sK6),
    inference(unit_resulting_resolution,[],[f4626,f4668,f450]) ).

fof(f4668,plain,
    perp(sK6,sK8(sK6,sK6,sK6,sK1),sK1,sK6),
    inference(unit_resulting_resolution,[],[f4623,f386]) ).

fof(f4623,plain,
    perp(sK6,sK8(sK6,sK6,sK6,sK1),sK6,sK1),
    inference(unit_resulting_resolution,[],[f4604,f387]) ).

fof(f4604,plain,
    perp(sK6,sK1,sK6,sK8(sK6,sK6,sK6,sK1)),
    inference(unit_resulting_resolution,[],[f4587,f386]) ).

fof(f4587,plain,
    perp(sK6,sK1,sK8(sK6,sK6,sK6,sK1),sK6),
    inference(unit_resulting_resolution,[],[f4251,f387]) ).

fof(f4251,plain,
    perp(sK8(sK6,sK6,sK6,sK1),sK6,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4201,f400]) ).

fof(f4201,plain,
    circle(sK1,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f4174,f4174,f392]) ).

fof(f4174,plain,
    cong(sK1,sK6,sK1,sK6),
    inference(unit_resulting_resolution,[],[f521,f4164,f395]) ).

fof(f4164,plain,
    perp(sK1,sK1,sK1,sK2),
    inference(unit_resulting_resolution,[],[f4152,f386]) ).

fof(f4152,plain,
    perp(sK1,sK1,sK2,sK1),
    inference(unit_resulting_resolution,[],[f4144,f387]) ).

fof(f4144,plain,
    perp(sK2,sK1,sK1,sK1),
    inference(unit_resulting_resolution,[],[f526,f4139,f390]) ).

fof(f4139,plain,
    circle(sK6,sK2,sK1,sK1),
    inference(unit_resulting_resolution,[],[f578,f578,f392]) ).

fof(f578,plain,
    cong(sK6,sK2,sK6,sK1),
    inference(unit_resulting_resolution,[],[f365,f369]) ).

fof(f365,plain,
    midp(sK6,sK2,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f526,plain,
    coll(sK6,sK2,sK1),
    inference(unit_resulting_resolution,[],[f365,f368]) ).

fof(f521,plain,
    midp(sK6,sK1,sK2),
    inference(unit_resulting_resolution,[],[f365,f367]) ).

fof(f4626,plain,
    perp(sK1,sK6,sK6,sK8(sK6,sK6,sK6,sK1)),
    inference(unit_resulting_resolution,[],[f4605,f386]) ).

fof(f4605,plain,
    perp(sK1,sK6,sK8(sK6,sK6,sK6,sK1),sK6),
    inference(unit_resulting_resolution,[],[f4588,f387]) ).

fof(f4588,plain,
    perp(sK8(sK6,sK6,sK6,sK1),sK6,sK1,sK6),
    inference(unit_resulting_resolution,[],[f4251,f386]) ).

fof(f3620,plain,
    coll(sK6,sK5,sK6),
    inference(unit_resulting_resolution,[],[f1638,f2990,f389]) ).

fof(f2990,plain,
    coll(sK6,sK3,sK5),
    inference(unit_resulting_resolution,[],[f1749,f370]) ).

fof(f1749,plain,
    coll(sK6,sK5,sK3),
    inference(unit_resulting_resolution,[],[f1072,f1203,f389]) ).

fof(f1203,plain,
    coll(sK3,sK0,sK6),
    inference(unit_resulting_resolution,[],[f830,f834,f389]) ).

fof(f834,plain,
    coll(sK6,sK1,sK0),
    inference(unit_resulting_resolution,[],[f718,f370]) ).

fof(f718,plain,
    coll(sK6,sK0,sK1),
    inference(unit_resulting_resolution,[],[f662,f683,f389]) ).

fof(f683,plain,
    coll(sK1,sK1,sK6),
    inference(unit_resulting_resolution,[],[f526,f526,f389]) ).

fof(f830,plain,
    coll(sK6,sK1,sK3),
    inference(unit_resulting_resolution,[],[f717,f370]) ).

fof(f717,plain,
    coll(sK6,sK3,sK1),
    inference(unit_resulting_resolution,[],[f673,f683,f389]) ).

fof(f673,plain,
    coll(sK1,sK1,sK3),
    inference(unit_resulting_resolution,[],[f361,f361,f389]) ).

fof(f1072,plain,
    coll(sK3,sK0,sK5),
    inference(unit_resulting_resolution,[],[f784,f370]) ).

fof(f784,plain,
    coll(sK3,sK5,sK0),
    inference(unit_resulting_resolution,[],[f674,f682,f389]) ).

fof(f674,plain,
    coll(sK0,sK0,sK3),
    inference(unit_resulting_resolution,[],[f528,f528,f389]) ).

fof(f1638,plain,
    coll(sK6,sK3,sK6),
    inference(unit_resulting_resolution,[],[f924,f1092,f389]) ).

fof(f1092,plain,
    coll(sK6,sK2,sK3),
    inference(unit_resulting_resolution,[],[f790,f370]) ).

fof(f790,plain,
    coll(sK6,sK3,sK2),
    inference(unit_resulting_resolution,[],[f676,f684,f389]) ).

fof(f684,plain,
    coll(sK2,sK2,sK6),
    inference(unit_resulting_resolution,[],[f527,f527,f389]) ).

fof(f527,plain,
    coll(sK6,sK1,sK2),
    inference(unit_resulting_resolution,[],[f521,f368]) ).

fof(f676,plain,
    coll(sK2,sK2,sK3),
    inference(unit_resulting_resolution,[],[f539,f539,f389]) ).

fof(f539,plain,
    coll(sK3,sK4,sK2),
    inference(unit_resulting_resolution,[],[f529,f371]) ).

fof(f529,plain,
    coll(sK4,sK3,sK2),
    inference(unit_resulting_resolution,[],[f363,f370]) ).

fof(f363,plain,
    coll(sK4,sK2,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f924,plain,
    coll(sK6,sK2,sK6),
    inference(unit_resulting_resolution,[],[f669,f370]) ).

fof(f669,plain,
    coll(sK6,sK6,sK2),
    inference(unit_resulting_resolution,[],[f555,f555,f389]) ).

fof(f555,plain,
    coll(sK2,sK1,sK6),
    inference(unit_resulting_resolution,[],[f542,f370]) ).

fof(f542,plain,
    coll(sK2,sK6,sK1),
    inference(unit_resulting_resolution,[],[f526,f371]) ).

fof(f4089,plain,
    ~ circle(sK6,sK5,sK3,sK6),
    inference(unit_resulting_resolution,[],[f3620,f620,f390]) ).

fof(f620,plain,
    ~ perp(sK5,sK3,sK3,sK6),
    inference(unit_resulting_resolution,[],[f613,f387]) ).

fof(f613,plain,
    ~ perp(sK3,sK6,sK5,sK3),
    inference(unit_resulting_resolution,[],[f366,f386]) ).

fof(f366,plain,
    ~ perp(sK3,sK6,sK3,sK5),
    inference(cnf_transformation,[],[f322]) ).

fof(f246671,plain,
    cong(sK6,sK5,sK6,sK3),
    inference(unit_resulting_resolution,[],[f222286,f369]) ).

fof(f222286,plain,
    midp(sK6,sK5,sK3),
    inference(unit_resulting_resolution,[],[f200709,f367]) ).

fof(f200709,plain,
    midp(sK6,sK3,sK5),
    inference(unit_resulting_resolution,[],[f2990,f66926,f197666,f416]) ).

fof(f197666,plain,
    midp(sK0,sK3,sK0),
    inference(unit_resulting_resolution,[],[f708,f65978,f195060,f416]) ).

fof(f195060,plain,
    midp(sK1,sK3,sK0),
    inference(unit_resulting_resolution,[],[f194012,f367]) ).

fof(f194012,plain,
    midp(sK1,sK0,sK3),
    inference(unit_resulting_resolution,[],[f549,f67274,f193901,f416]) ).

fof(f193901,plain,
    midp(sK3,sK0,sK1),
    inference(unit_resulting_resolution,[],[f361,f68105,f374]) ).

fof(f68105,plain,
    cong(sK3,sK0,sK3,sK1),
    inference(unit_resulting_resolution,[],[f360,f66546,f388]) ).

fof(f388,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X2,X0,X1)
      | cong(X3,X0,X3,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.VRUmoETHAO/Vampire---4.8_18337',ruleD55) ).

fof(f66546,plain,
    midp(sK2,sK0,sK1),
    inference(unit_resulting_resolution,[],[f765,f4352,f65751,f416]) ).

fof(f65751,plain,
    midp(sK1,sK0,sK1),
    inference(unit_resulting_resolution,[],[f698,f6870,f65227,f416]) ).

fof(f65227,plain,
    midp(sK0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f812,f7871,f64915,f416]) ).

fof(f64915,plain,
    midp(sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f64833,f367]) ).

fof(f64833,plain,
    midp(sK5,sK5,sK0),
    inference(unit_resulting_resolution,[],[f4218,f663,f7872,f416]) ).

fof(f7872,plain,
    para(sK0,sK5,sK5,sK0),
    inference(unit_resulting_resolution,[],[f4658,f4655,f450]) ).

fof(f4658,plain,
    perp(sK0,sK5,sK5,sK8(sK5,sK5,sK5,sK0)),
    inference(unit_resulting_resolution,[],[f4613,f386]) ).

fof(f4613,plain,
    perp(sK0,sK5,sK8(sK5,sK5,sK5,sK0),sK5),
    inference(unit_resulting_resolution,[],[f4596,f387]) ).

fof(f4596,plain,
    perp(sK8(sK5,sK5,sK5,sK0),sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f4263,f386]) ).

fof(f7871,plain,
    para(sK5,sK0,sK5,sK0),
    inference(unit_resulting_resolution,[],[f4612,f4655,f450]) ).

fof(f812,plain,
    coll(sK0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f708,f708,f389]) ).

fof(f4352,plain,
    para(sK1,sK2,sK1,sK1),
    inference(unit_resulting_resolution,[],[f365,f4348,f414]) ).

fof(f414,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/sandbox/tmp/tmp.VRUmoETHAO/Vampire---4.8_18337',ruleD63) ).

fof(f4348,plain,
    midp(sK6,sK1,sK1),
    inference(unit_resulting_resolution,[],[f847,f4276,f374]) ).

fof(f4276,plain,
    cong(sK6,sK1,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4249,f384]) ).

fof(f384,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f189,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.VRUmoETHAO/Vampire---4.8_18337',ruleD23) ).

fof(f4249,plain,
    cong(sK6,sK1,sK1,sK6),
    inference(unit_resulting_resolution,[],[f4199,f385]) ).

fof(f385,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f190,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.VRUmoETHAO/Vampire---4.8_18337',ruleD24) ).

fof(f4199,plain,
    cong(sK1,sK6,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4174,f384]) ).

fof(f847,plain,
    coll(sK6,sK1,sK1),
    inference(unit_resulting_resolution,[],[f724,f371]) ).

fof(f724,plain,
    coll(sK1,sK6,sK1),
    inference(unit_resulting_resolution,[],[f683,f370]) ).

fof(f765,plain,
    coll(sK2,sK0,sK1),
    inference(unit_resulting_resolution,[],[f662,f672,f389]) ).

fof(f672,plain,
    coll(sK1,sK1,sK2),
    inference(unit_resulting_resolution,[],[f542,f542,f389]) ).

fof(f67274,plain,
    para(sK3,sK1,sK1,sK3),
    inference(unit_resulting_resolution,[],[f65453,f66153,f414]) ).

fof(f66153,plain,
    midp(sK3,sK3,sK1),
    inference(unit_resulting_resolution,[],[f65453,f367]) ).

fof(f65453,plain,
    midp(sK3,sK1,sK3),
    inference(unit_resulting_resolution,[],[f910,f6232,f65077,f416]) ).

fof(f65077,plain,
    midp(sK2,sK1,sK2),
    inference(unit_resulting_resolution,[],[f920,f7879,f64869,f416]) ).

fof(f64869,plain,
    midp(sK6,sK1,sK6),
    inference(unit_resulting_resolution,[],[f64836,f367]) ).

fof(f64836,plain,
    midp(sK6,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4203,f666,f7878,f416]) ).

fof(f7878,plain,
    para(sK1,sK6,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4626,f4623,f450]) ).

fof(f666,plain,
    coll(sK6,sK6,sK1),
    inference(unit_resulting_resolution,[],[f563,f563,f389]) ).

fof(f563,plain,
    coll(sK1,sK2,sK6),
    inference(unit_resulting_resolution,[],[f543,f370]) ).

fof(f543,plain,
    coll(sK1,sK6,sK2),
    inference(unit_resulting_resolution,[],[f527,f371]) ).

fof(f4203,plain,
    midp(sK1,sK6,sK6),
    inference(unit_resulting_resolution,[],[f1355,f4174,f374]) ).

fof(f1355,plain,
    coll(sK1,sK6,sK6),
    inference(unit_resulting_resolution,[],[f526,f924,f389]) ).

fof(f7879,plain,
    para(sK6,sK2,sK6,sK2),
    inference(unit_resulting_resolution,[],[f4616,f4659,f450]) ).

fof(f4659,plain,
    perp(sK6,sK8(sK6,sK6,sK6,sK2),sK6,sK2),
    inference(unit_resulting_resolution,[],[f4616,f387]) ).

fof(f4616,plain,
    perp(sK6,sK2,sK6,sK8(sK6,sK6,sK6,sK2)),
    inference(unit_resulting_resolution,[],[f4597,f386]) ).

fof(f4597,plain,
    perp(sK6,sK2,sK8(sK6,sK6,sK6,sK2),sK6),
    inference(unit_resulting_resolution,[],[f4267,f387]) ).

fof(f4267,plain,
    perp(sK8(sK6,sK6,sK6,sK2),sK6,sK6,sK2),
    inference(unit_resulting_resolution,[],[f4233,f400]) ).

fof(f4233,plain,
    circle(sK2,sK6,sK6,sK6),
    inference(unit_resulting_resolution,[],[f4180,f4180,f392]) ).

fof(f4180,plain,
    cong(sK2,sK6,sK2,sK6),
    inference(unit_resulting_resolution,[],[f365,f4168,f395]) ).

fof(f4168,plain,
    perp(sK2,sK2,sK2,sK1),
    inference(unit_resulting_resolution,[],[f4158,f386]) ).

fof(f4158,plain,
    perp(sK2,sK2,sK1,sK2),
    inference(unit_resulting_resolution,[],[f4148,f387]) ).

fof(f4148,plain,
    perp(sK1,sK2,sK2,sK2),
    inference(unit_resulting_resolution,[],[f527,f4140,f390]) ).

fof(f4140,plain,
    circle(sK6,sK1,sK2,sK2),
    inference(unit_resulting_resolution,[],[f579,f579,f392]) ).

fof(f579,plain,
    cong(sK6,sK1,sK6,sK2),
    inference(unit_resulting_resolution,[],[f521,f369]) ).

fof(f920,plain,
    coll(sK2,sK1,sK2),
    inference(unit_resulting_resolution,[],[f668,f370]) ).

fof(f668,plain,
    coll(sK2,sK2,sK1),
    inference(unit_resulting_resolution,[],[f543,f543,f389]) ).

fof(f6232,plain,
    para(sK2,sK3,sK2,sK3),
    inference(unit_resulting_resolution,[],[f639,f628,f450]) ).

fof(f910,plain,
    coll(sK3,sK1,sK3),
    inference(unit_resulting_resolution,[],[f665,f370]) ).

fof(f665,plain,
    coll(sK3,sK3,sK1),
    inference(unit_resulting_resolution,[],[f549,f549,f389]) ).

fof(f549,plain,
    coll(sK1,sK0,sK3),
    inference(unit_resulting_resolution,[],[f537,f370]) ).

fof(f65978,plain,
    para(sK1,sK0,sK0,sK0),
    inference(unit_resulting_resolution,[],[f65227,f65413,f414]) ).

fof(f65413,plain,
    midp(sK0,sK1,sK0),
    inference(unit_resulting_resolution,[],[f756,f6871,f65076,f416]) ).

fof(f65076,plain,
    midp(sK1,sK1,sK1),
    inference(unit_resulting_resolution,[],[f728,f7877,f64869,f416]) ).

fof(f7877,plain,
    para(sK6,sK1,sK6,sK1),
    inference(unit_resulting_resolution,[],[f4604,f4623,f450]) ).

fof(f728,plain,
    coll(sK1,sK1,sK1),
    inference(unit_resulting_resolution,[],[f688,f688,f389]) ).

fof(f688,plain,
    coll(sK1,sK3,sK1),
    inference(unit_resulting_resolution,[],[f673,f370]) ).

fof(f6871,plain,
    para(sK1,sK0,sK1,sK0),
    inference(unit_resulting_resolution,[],[f634,f645,f450]) ).

fof(f645,plain,
    perp(sK2,sK3,sK1,sK0),
    inference(unit_resulting_resolution,[],[f634,f387]) ).

fof(f634,plain,
    perp(sK1,sK0,sK2,sK3),
    inference(unit_resulting_resolution,[],[f623,f386]) ).

fof(f623,plain,
    perp(sK1,sK0,sK3,sK2),
    inference(unit_resulting_resolution,[],[f614,f387]) ).

fof(f614,plain,
    perp(sK3,sK2,sK1,sK0),
    inference(unit_resulting_resolution,[],[f360,f386]) ).

fof(f756,plain,
    coll(sK0,sK1,sK0),
    inference(unit_resulting_resolution,[],[f667,f370]) ).

fof(f708,plain,
    coll(sK0,sK3,sK0),
    inference(unit_resulting_resolution,[],[f674,f370]) ).

fof(f66926,plain,
    para(sK0,sK6,sK0,sK5),
    inference(unit_resulting_resolution,[],[f4325,f65924,f414]) ).

fof(f65924,plain,
    midp(sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f3635,f7876,f65346,f416]) ).

fof(f65346,plain,
    midp(sK0,sK6,sK0),
    inference(unit_resulting_resolution,[],[f1219,f6871,f65009,f416]) ).

fof(f65009,plain,
    midp(sK1,sK6,sK1),
    inference(unit_resulting_resolution,[],[f64865,f367]) ).

fof(f64865,plain,
    midp(sK1,sK1,sK6),
    inference(unit_resulting_resolution,[],[f4348,f683,f7881,f416]) ).

fof(f7881,plain,
    para(sK6,sK1,sK1,sK6),
    inference(unit_resulting_resolution,[],[f4604,f4668,f450]) ).

fof(f1219,plain,
    coll(sK0,sK6,sK0),
    inference(unit_resulting_resolution,[],[f756,f842,f389]) ).

fof(f842,plain,
    coll(sK0,sK1,sK6),
    inference(unit_resulting_resolution,[],[f721,f370]) ).

fof(f721,plain,
    coll(sK0,sK6,sK1),
    inference(unit_resulting_resolution,[],[f662,f683,f389]) ).

fof(f7876,plain,
    para(sK0,sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f4658,f4740,f450]) ).

fof(f3635,plain,
    coll(sK5,sK6,sK5),
    inference(unit_resulting_resolution,[],[f1565,f2994,f389]) ).

fof(f2994,plain,
    coll(sK5,sK3,sK6),
    inference(unit_resulting_resolution,[],[f1755,f370]) ).

fof(f1755,plain,
    coll(sK5,sK6,sK3),
    inference(unit_resulting_resolution,[],[f1072,f1203,f389]) ).

fof(f1565,plain,
    coll(sK5,sK3,sK5),
    inference(unit_resulting_resolution,[],[f898,f1064,f389]) ).

fof(f1064,plain,
    coll(sK5,sK0,sK3),
    inference(unit_resulting_resolution,[],[f781,f370]) ).

fof(f781,plain,
    coll(sK5,sK3,sK0),
    inference(unit_resulting_resolution,[],[f674,f682,f389]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : GEO604+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
% 0.16/0.36  % Computer : n018.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
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Aug 29 21:05:03 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.VRUmoETHAO/Vampire---4.8_18337
% 0.16/0.37  % (18444)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (18448)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.22/0.43  % (18451)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.22/0.43  % (18450)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)
% 0.22/0.43  % (18449)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)
% 0.22/0.43  % (18447)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)
% 0.22/0.43  % (18445)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)
% 0.22/0.44  % (18446)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 13.93/2.37  % (18450)First to succeed.
% 13.93/2.38  % (18450)Refutation found. Thanks to Tanya!
% 13.93/2.38  % SZS status Theorem for Vampire---4
% 13.93/2.38  % SZS output start Proof for Vampire---4
% See solution above
% 13.93/2.38  % (18450)------------------------------
% 13.93/2.38  % (18450)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.93/2.38  % (18450)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.93/2.38  % (18450)Termination reason: Refutation
% 13.93/2.38  
% 13.93/2.38  % (18450)Memory used [KB]: 97226
% 13.93/2.38  % (18450)Time elapsed: 1.937 s
% 13.93/2.38  % (18450)------------------------------
% 13.93/2.38  % (18450)------------------------------
% 13.93/2.38  % (18444)Success in time 1.995 s
% 13.93/2.38  % Vampire---4.8 exiting
%------------------------------------------------------------------------------