TSTP Solution File: GEO628+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO628+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 : n026.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 23:36:49 EDT 2023

% Result   : Theorem 4.26s 1.02s
% Output   : Refutation 4.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   15
% Syntax   : Number of formulae    :  113 (  61 unt;   0 def)
%            Number of atoms       :  280 (   0 equ)
%            Maximal formula atoms :   28 (   2 avg)
%            Number of connectives :  223 (  56   ~;  42   |; 106   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  277 (; 238   !;  39   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f102056,plain,
    $false,
    inference(subsumption_resolution,[],[f102036,f95600]) ).

fof(f95600,plain,
    ~ cyclic(sK7,sK10,sK10,sK0),
    inference(unit_resulting_resolution,[],[f65645,f385]) ).

fof(f385,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/sandbox/tmp/tmp.NOEVhasRmE/Vampire---4.8_20548',ruleD16) ).

fof(f65645,plain,
    ~ cyclic(sK10,sK7,sK10,sK0),
    inference(unit_resulting_resolution,[],[f618,f57575,f429]) ).

fof(f429,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.NOEVhasRmE/Vampire---4.8_20548',ruleD17) ).

fof(f57575,plain,
    cyclic(sK10,sK7,sK10,sK4),
    inference(unit_resulting_resolution,[],[f54538,f385]) ).

fof(f54538,plain,
    cyclic(sK7,sK10,sK10,sK4),
    inference(unit_resulting_resolution,[],[f53063,f386]) ).

fof(f386,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.NOEVhasRmE/Vampire---4.8_20548',ruleD14) ).

fof(f53063,plain,
    cyclic(sK7,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f52066,f387]) ).

fof(f387,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.NOEVhasRmE/Vampire---4.8_20548',ruleD15) ).

fof(f52066,plain,
    cyclic(sK7,sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f9892,f20095,f404]) ).

fof(f404,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.NOEVhasRmE/Vampire---4.8_20548',ruleD42b) ).

fof(f20095,plain,
    ! [X0,X1] : eqangle(sK10,sK7,X0,X1,sK10,sK7,X0,X1),
    inference(unit_resulting_resolution,[],[f4336,f441]) ).

fof(f441,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.NOEVhasRmE/Vampire---4.8_20548',ruleD40) ).

fof(f4336,plain,
    para(sK10,sK7,sK10,sK7),
    inference(unit_resulting_resolution,[],[f693,f716,f457]) ).

fof(f457,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.NOEVhasRmE/Vampire---4.8_20548',ruleD9) ).

fof(f716,plain,
    perp(sK6,sK5,sK10,sK7),
    inference(unit_resulting_resolution,[],[f693,f394]) ).

fof(f394,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.NOEVhasRmE/Vampire---4.8_20548',ruleD8) ).

fof(f693,plain,
    perp(sK10,sK7,sK6,sK5),
    inference(unit_resulting_resolution,[],[f670,f393]) ).

fof(f393,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.NOEVhasRmE/Vampire---4.8_20548',ruleD7) ).

fof(f670,plain,
    perp(sK10,sK7,sK5,sK6),
    inference(unit_resulting_resolution,[],[f652,f394]) ).

fof(f652,plain,
    perp(sK5,sK6,sK10,sK7),
    inference(unit_resulting_resolution,[],[f371,f393]) ).

fof(f371,plain,
    perp(sK5,sK6,sK7,sK10),
    inference(cnf_transformation,[],[f322]) ).

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

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

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
        ( ( perp(X19,X20,X18,X21)
          & perp(X5,X12,X8,X21)
          & coll(X20,X0,X2)
          & perp(X20,X8,X0,X2)
          & coll(X19,X0,X1)
          & perp(X19,X8,X0,X1)
          & circle(X7,X0,X8,X23)
          & coll(X12,X0,X1)
          & perp(X12,X18,X0,X1)
          & coll(X5,X0,X2)
          & perp(X5,X18,X0,X2)
          & circle(X7,X0,X18,X22)
          & circle(X7,X0,X1,X2) )
       => cyclic(X0,X18,X8,X21) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X18,X5,X12,X8,X19,X20,X21,X22,X23] :
      ( ( perp(X19,X20,X18,X21)
        & perp(X5,X12,X8,X21)
        & coll(X20,X0,X2)
        & perp(X20,X8,X0,X2)
        & coll(X19,X0,X1)
        & perp(X19,X8,X0,X1)
        & circle(X7,X0,X8,X23)
        & coll(X12,X0,X1)
        & perp(X12,X18,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X18,X0,X2)
        & circle(X7,X0,X18,X22)
        & circle(X7,X0,X1,X2) )
     => cyclic(X0,X18,X8,X21) ),
    file('/export/starexec/sandbox/tmp/tmp.NOEVhasRmE/Vampire---4.8_20548',exemplo6GDDFULL8110991) ).

fof(f9892,plain,
    coll(sK10,sK10,sK4),
    inference(unit_resulting_resolution,[],[f9883,f9883,f396]) ).

fof(f396,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.NOEVhasRmE/Vampire---4.8_20548',ruleD3) ).

fof(f9883,plain,
    coll(sK4,sK10,sK10),
    inference(unit_resulting_resolution,[],[f4263,f379]) ).

fof(f379,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.NOEVhasRmE/Vampire---4.8_20548',ruleD66) ).

fof(f4263,plain,
    para(sK4,sK10,sK4,sK10),
    inference(unit_resulting_resolution,[],[f681,f704,f457]) ).

fof(f704,plain,
    perp(sK9,sK8,sK4,sK10),
    inference(unit_resulting_resolution,[],[f681,f394]) ).

fof(f681,plain,
    perp(sK4,sK10,sK9,sK8),
    inference(unit_resulting_resolution,[],[f668,f393]) ).

fof(f668,plain,
    perp(sK4,sK10,sK8,sK9),
    inference(unit_resulting_resolution,[],[f372,f394]) ).

fof(f372,plain,
    perp(sK8,sK9,sK4,sK10),
    inference(cnf_transformation,[],[f322]) ).

fof(f618,plain,
    ~ cyclic(sK7,sK10,sK0,sK4),
    inference(unit_resulting_resolution,[],[f599,f387]) ).

fof(f599,plain,
    ~ cyclic(sK7,sK0,sK10,sK4),
    inference(unit_resulting_resolution,[],[f589,f385]) ).

fof(f589,plain,
    ~ cyclic(sK0,sK7,sK10,sK4),
    inference(unit_resulting_resolution,[],[f584,f386]) ).

fof(f584,plain,
    ~ cyclic(sK0,sK7,sK4,sK10),
    inference(unit_resulting_resolution,[],[f373,f387]) ).

fof(f373,plain,
    ~ cyclic(sK0,sK4,sK7,sK10),
    inference(cnf_transformation,[],[f322]) ).

fof(f102036,plain,
    cyclic(sK7,sK10,sK10,sK0),
    inference(unit_resulting_resolution,[],[f77186,f77201,f429]) ).

fof(f77201,plain,
    cyclic(sK8,sK7,sK10,sK10),
    inference(unit_resulting_resolution,[],[f60732,f60732,f429]) ).

fof(f60732,plain,
    cyclic(sK7,sK8,sK7,sK10),
    inference(unit_resulting_resolution,[],[f55599,f386]) ).

fof(f55599,plain,
    cyclic(sK7,sK8,sK10,sK7),
    inference(unit_resulting_resolution,[],[f53633,f387]) ).

fof(f53633,plain,
    cyclic(sK7,sK10,sK8,sK7),
    inference(unit_resulting_resolution,[],[f52559,f385]) ).

fof(f52559,plain,
    cyclic(sK10,sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f52154,f387]) ).

fof(f52154,plain,
    cyclic(sK10,sK8,sK7,sK7),
    inference(unit_resulting_resolution,[],[f6670,f14188,f404]) ).

fof(f14188,plain,
    ! [X0,X1] : eqangle(sK7,sK10,X0,X1,sK7,sK10,X0,X1),
    inference(unit_resulting_resolution,[],[f4307,f441]) ).

fof(f4307,plain,
    para(sK7,sK10,sK7,sK10),
    inference(unit_resulting_resolution,[],[f683,f706,f457]) ).

fof(f706,plain,
    perp(sK6,sK5,sK7,sK10),
    inference(unit_resulting_resolution,[],[f683,f394]) ).

fof(f683,plain,
    perp(sK7,sK10,sK6,sK5),
    inference(unit_resulting_resolution,[],[f669,f393]) ).

fof(f669,plain,
    perp(sK7,sK10,sK5,sK6),
    inference(unit_resulting_resolution,[],[f371,f394]) ).

fof(f6670,plain,
    coll(sK7,sK7,sK8),
    inference(unit_resulting_resolution,[],[f6659,f6659,f396]) ).

fof(f6659,plain,
    coll(sK8,sK7,sK7),
    inference(unit_resulting_resolution,[],[f4316,f379]) ).

fof(f4316,plain,
    para(sK8,sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f650,f665,f457]) ).

fof(f665,plain,
    perp(sK1,sK0,sK8,sK7),
    inference(unit_resulting_resolution,[],[f650,f394]) ).

fof(f650,plain,
    perp(sK8,sK7,sK1,sK0),
    inference(unit_resulting_resolution,[],[f367,f393]) ).

fof(f367,plain,
    perp(sK8,sK7,sK0,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f77186,plain,
    cyclic(sK8,sK7,sK10,sK0),
    inference(unit_resulting_resolution,[],[f56352,f60732,f429]) ).

fof(f56352,plain,
    cyclic(sK7,sK8,sK7,sK0),
    inference(unit_resulting_resolution,[],[f53075,f53977,f429]) ).

fof(f53977,plain,
    cyclic(sK8,sK7,sK8,sK0),
    inference(unit_resulting_resolution,[],[f52776,f385]) ).

fof(f52776,plain,
    cyclic(sK7,sK8,sK8,sK0),
    inference(unit_resulting_resolution,[],[f52289,f386]) ).

fof(f52289,plain,
    cyclic(sK7,sK8,sK0,sK8),
    inference(unit_resulting_resolution,[],[f52034,f387]) ).

fof(f52034,plain,
    cyclic(sK7,sK0,sK8,sK8),
    inference(unit_resulting_resolution,[],[f761,f6666,f404]) ).

fof(f6666,plain,
    ! [X0,X1] : eqangle(sK8,sK7,X0,X1,sK8,sK7,X0,X1),
    inference(unit_resulting_resolution,[],[f4316,f441]) ).

fof(f761,plain,
    coll(sK8,sK8,sK0),
    inference(unit_resulting_resolution,[],[f548,f548,f396]) ).

fof(f548,plain,
    coll(sK0,sK1,sK8),
    inference(unit_resulting_resolution,[],[f537,f377]) ).

fof(f377,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.NOEVhasRmE/Vampire---4.8_20548',ruleD1) ).

fof(f537,plain,
    coll(sK0,sK8,sK1),
    inference(unit_resulting_resolution,[],[f368,f378]) ).

fof(f378,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.NOEVhasRmE/Vampire---4.8_20548',ruleD2) ).

fof(f368,plain,
    coll(sK8,sK0,sK1),
    inference(cnf_transformation,[],[f322]) ).

fof(f53075,plain,
    cyclic(sK8,sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f52084,f387]) ).

fof(f52084,plain,
    cyclic(sK8,sK8,sK7,sK7),
    inference(unit_resulting_resolution,[],[f6670,f19983,f404]) ).

fof(f19983,plain,
    ! [X0,X1] : eqangle(sK7,sK8,X0,X1,sK7,sK8,X0,X1),
    inference(unit_resulting_resolution,[],[f4299,f441]) ).

fof(f4299,plain,
    para(sK7,sK8,sK7,sK8),
    inference(unit_resulting_resolution,[],[f710,f687,f457]) ).

fof(f687,plain,
    perp(sK1,sK0,sK7,sK8),
    inference(unit_resulting_resolution,[],[f665,f393]) ).

fof(f710,plain,
    perp(sK7,sK8,sK1,sK0),
    inference(unit_resulting_resolution,[],[f687,f394]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GEO628+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.36  % Computer : n026.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 20:42:50 EDT 2023
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.37  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.NOEVhasRmE/Vampire---4.8_20548
% 0.14/0.37  % (20712)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (20714)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.21/0.43  % (20713)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)
% 0.21/0.43  % (20716)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.21/0.43  % (20715)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)
% 0.21/0.43  % (20717)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)
% 0.21/0.43  % (20718)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)
% 0.21/0.43  % (20719)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 4.26/1.01  % (20718)First to succeed.
% 4.26/1.02  % (20718)Refutation found. Thanks to Tanya!
% 4.26/1.02  % SZS status Theorem for Vampire---4
% 4.26/1.02  % SZS output start Proof for Vampire---4
% See solution above
% 4.26/1.02  % (20718)------------------------------
% 4.26/1.02  % (20718)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 4.26/1.02  % (20718)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 4.26/1.02  % (20718)Termination reason: Refutation
% 4.26/1.02  
% 4.26/1.02  % (20718)Memory used [KB]: 18805
% 4.26/1.02  % (20718)Time elapsed: 0.582 s
% 4.26/1.02  % (20718)------------------------------
% 4.26/1.02  % (20718)------------------------------
% 4.26/1.02  % (20712)Success in time 0.642 s
% 4.26/1.02  % Vampire---4.8 exiting
%------------------------------------------------------------------------------