TSTP Solution File: GEO649+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO649+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:41:29 EDT 2024

% Result   : Theorem 111.92s 16.41s
% Output   : Refutation 111.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  226 ( 115 unt;   0 def)
%            Number of atoms       :  511 (   0 equ)
%            Maximal formula atoms :   28 (   2 avg)
%            Number of connectives :  411 ( 126   ~; 117   |; 128   &)
%                                         (   0 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  535 ( 487   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f853492,plain,
    $false,
    inference(subsumption_resolution,[],[f853440,f771994]) ).

fof(f771994,plain,
    ~ perp(sK9,sK9,sK6,sK7),
    inference(unit_resulting_resolution,[],[f389,f275070,f475]) ).

fof(f475,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/benchmark/theBenchmark.p',ruleD9) ).

fof(f275070,plain,
    perp(sK11,sK9,sK9,sK9),
    inference(subsumption_resolution,[],[f275069,f54588]) ).

fof(f54588,plain,
    cong(sK9,sK11,sK9,sK11),
    inference(unit_resulting_resolution,[],[f54353,f392]) ).

fof(f392,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/sandbox/benchmark/theBenchmark.p',ruleD68) ).

fof(f54353,plain,
    midp(sK9,sK11,sK11),
    inference(unit_resulting_resolution,[],[f25009,f23458,f54056,f440]) ).

fof(f440,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/benchmark/theBenchmark.p',ruleD45) ).

fof(f54056,plain,
    midp(sK11,sK11,sK9),
    inference(unit_resulting_resolution,[],[f54036,f390]) ).

fof(f390,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/benchmark/theBenchmark.p',ruleD11) ).

fof(f54036,plain,
    midp(sK11,sK9,sK11),
    inference(unit_resulting_resolution,[],[f45317,f24721,f23459,f440]) ).

fof(f23459,plain,
    para(sK9,sK11,sK9,sK11),
    inference(unit_resulting_resolution,[],[f820,f851,f475]) ).

fof(f851,plain,
    perp(sK10,sK9,sK9,sK11),
    inference(unit_resulting_resolution,[],[f820,f410]) ).

fof(f410,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/benchmark/theBenchmark.p',ruleD8) ).

fof(f820,plain,
    perp(sK9,sK11,sK10,sK9),
    inference(unit_resulting_resolution,[],[f795,f409]) ).

fof(f409,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/benchmark/theBenchmark.p',ruleD7) ).

fof(f795,plain,
    perp(sK9,sK11,sK9,sK10),
    inference(unit_resulting_resolution,[],[f388,f410]) ).

fof(f388,plain,
    perp(sK9,sK10,sK9,sK11),
    inference(cnf_transformation,[],[f330]) ).

fof(f330,plain,
    ( ~ para(sK11,sK9,sK6,sK7)
    & perp(sK9,sK10,sK9,sK11)
    & perp(sK9,sK5,sK19,sK10)
    & midp(sK19,sK9,sK5)
    & perp(sK8,sK5,sK18,sK10)
    & midp(sK18,sK8,sK5)
    & perp(sK8,sK9,sK17,sK10)
    & midp(sK17,sK8,sK9)
    & coll(sK9,sK5,sK7)
    & coll(sK9,sK6,sK8)
    & circle(sK4,sK5,sK8,sK16)
    & circle(sK4,sK5,sK7,sK15)
    & circle(sK4,sK5,sK6,sK14)
    & circle(sK4,sK5,sK12,sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f169,f329]) ).

fof(f329,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
        ( ~ para(X7,X5,X2,X3)
        & perp(X5,X6,X5,X7)
        & perp(X5,X1,X15,X6)
        & midp(X15,X5,X1)
        & perp(X4,X1,X14,X6)
        & midp(X14,X4,X1)
        & perp(X4,X5,X13,X6)
        & midp(X13,X4,X5)
        & coll(X5,X1,X3)
        & coll(X5,X2,X4)
        & circle(X0,X1,X4,X12)
        & circle(X0,X1,X3,X11)
        & circle(X0,X1,X2,X10)
        & circle(X0,X1,X8,X9) )
   => ( ~ para(sK11,sK9,sK6,sK7)
      & perp(sK9,sK10,sK9,sK11)
      & perp(sK9,sK5,sK19,sK10)
      & midp(sK19,sK9,sK5)
      & perp(sK8,sK5,sK18,sK10)
      & midp(sK18,sK8,sK5)
      & perp(sK8,sK9,sK17,sK10)
      & midp(sK17,sK8,sK9)
      & coll(sK9,sK5,sK7)
      & coll(sK9,sK6,sK8)
      & circle(sK4,sK5,sK8,sK16)
      & circle(sK4,sK5,sK7,sK15)
      & circle(sK4,sK5,sK6,sK14)
      & circle(sK4,sK5,sK12,sK13) ) ),
    introduced(choice_axiom,[]) ).

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

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

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

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25] :
        ( ( perp(X5,X12,X5,X13)
          & perp(X5,X1,X25,X12)
          & midp(X25,X5,X1)
          & perp(X4,X1,X24,X12)
          & midp(X24,X4,X1)
          & perp(X4,X5,X23,X12)
          & midp(X23,X4,X5)
          & coll(X5,X1,X3)
          & coll(X5,X2,X4)
          & circle(X0,X1,X4,X22)
          & circle(X0,X1,X3,X21)
          & circle(X0,X1,X2,X20)
          & circle(X0,X1,X18,X19) )
       => para(X13,X5,X2,X3) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X13,X18,X19,X20,X21,X22,X23,X24,X25] :
      ( ( perp(X5,X12,X5,X13)
        & perp(X5,X1,X25,X12)
        & midp(X25,X5,X1)
        & perp(X4,X1,X24,X12)
        & midp(X24,X4,X1)
        & perp(X4,X5,X23,X12)
        & midp(X23,X4,X5)
        & coll(X5,X1,X3)
        & coll(X5,X2,X4)
        & circle(X0,X1,X4,X22)
        & circle(X0,X1,X3,X21)
        & circle(X0,X1,X2,X20)
        & circle(X0,X1,X18,X19) )
     => para(X13,X5,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02210) ).

fof(f24721,plain,
    coll(sK11,sK9,sK11),
    inference(unit_resulting_resolution,[],[f24624,f393]) ).

fof(f393,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/benchmark/theBenchmark.p',ruleD1) ).

fof(f24624,plain,
    coll(sK11,sK11,sK9),
    inference(unit_resulting_resolution,[],[f24596,f24596,f412]) ).

fof(f412,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/benchmark/theBenchmark.p',ruleD3) ).

fof(f24596,plain,
    coll(sK9,sK9,sK11),
    inference(unit_resulting_resolution,[],[f24577,f24577,f412]) ).

fof(f24577,plain,
    coll(sK11,sK9,sK9),
    inference(unit_resulting_resolution,[],[f23086,f395]) ).

fof(f395,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/benchmark/theBenchmark.p',ruleD66) ).

fof(f23086,plain,
    para(sK11,sK9,sK11,sK9),
    inference(unit_resulting_resolution,[],[f791,f778,f475]) ).

fof(f778,plain,
    perp(sK9,sK10,sK11,sK9),
    inference(unit_resulting_resolution,[],[f388,f409]) ).

fof(f791,plain,
    perp(sK11,sK9,sK9,sK10),
    inference(unit_resulting_resolution,[],[f778,f410]) ).

fof(f45317,plain,
    midp(sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f37618,f1172,f23137,f440]) ).

fof(f23137,plain,
    para(sK10,sK9,sK10,sK9),
    inference(unit_resulting_resolution,[],[f851,f820,f475]) ).

fof(f1172,plain,
    coll(sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f1012,f1012,f412]) ).

fof(f1012,plain,
    coll(sK9,sK17,sK9),
    inference(unit_resulting_resolution,[],[f943,f393]) ).

fof(f943,plain,
    coll(sK9,sK9,sK17),
    inference(unit_resulting_resolution,[],[f519,f519,f412]) ).

fof(f519,plain,
    coll(sK17,sK8,sK9),
    inference(unit_resulting_resolution,[],[f382,f391]) ).

fof(f391,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/benchmark/theBenchmark.p',ruleD69) ).

fof(f382,plain,
    midp(sK17,sK8,sK9),
    inference(cnf_transformation,[],[f330]) ).

fof(f37618,plain,
    midp(sK10,sK9,sK10),
    inference(unit_resulting_resolution,[],[f30491,f390]) ).

fof(f30491,plain,
    midp(sK10,sK10,sK9),
    inference(unit_resulting_resolution,[],[f29445,f23136,f29443,f440]) ).

fof(f29443,plain,
    midp(sK9,sK10,sK10),
    inference(unit_resulting_resolution,[],[f21264,f29427,f397]) ).

fof(f397,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/benchmark/theBenchmark.p',ruleD67) ).

fof(f29427,plain,
    coll(sK9,sK10,sK10),
    inference(unit_resulting_resolution,[],[f23353,f395]) ).

fof(f23353,plain,
    para(sK9,sK10,sK9,sK10),
    inference(unit_resulting_resolution,[],[f778,f791,f475]) ).

fof(f21264,plain,
    cong(sK9,sK10,sK9,sK10),
    inference(unit_resulting_resolution,[],[f13802,f13806,f474]) ).

fof(f474,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | cong(X0,X1,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f282]) ).

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

fof(f281,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X2,X3,X4,X5)
        & cong(X0,X1,X2,X3) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD25) ).

fof(f13806,plain,
    cong(sK8,sK10,sK9,sK10),
    inference(unit_resulting_resolution,[],[f13781,f407]) ).

fof(f407,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/benchmark/theBenchmark.p',ruleD23) ).

fof(f13781,plain,
    cong(sK8,sK10,sK10,sK9),
    inference(unit_resulting_resolution,[],[f13749,f408]) ).

fof(f408,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/benchmark/theBenchmark.p',ruleD24) ).

fof(f13749,plain,
    cong(sK10,sK9,sK8,sK10),
    inference(unit_resulting_resolution,[],[f13691,f407]) ).

fof(f13691,plain,
    cong(sK10,sK9,sK10,sK8),
    inference(unit_resulting_resolution,[],[f507,f828,f411]) ).

fof(f411,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/benchmark/theBenchmark.p',ruleD55) ).

fof(f828,plain,
    perp(sK10,sK17,sK9,sK8),
    inference(unit_resulting_resolution,[],[f796,f409]) ).

fof(f796,plain,
    perp(sK10,sK17,sK8,sK9),
    inference(unit_resulting_resolution,[],[f775,f410]) ).

fof(f775,plain,
    perp(sK8,sK9,sK10,sK17),
    inference(unit_resulting_resolution,[],[f383,f409]) ).

fof(f383,plain,
    perp(sK8,sK9,sK17,sK10),
    inference(cnf_transformation,[],[f330]) ).

fof(f507,plain,
    midp(sK17,sK9,sK8),
    inference(unit_resulting_resolution,[],[f382,f390]) ).

fof(f13802,plain,
    cong(sK9,sK10,sK8,sK10),
    inference(unit_resulting_resolution,[],[f13777,f407]) ).

fof(f13777,plain,
    cong(sK9,sK10,sK10,sK8),
    inference(unit_resulting_resolution,[],[f13742,f408]) ).

fof(f13742,plain,
    cong(sK10,sK8,sK9,sK10),
    inference(unit_resulting_resolution,[],[f13693,f407]) ).

fof(f13693,plain,
    cong(sK10,sK8,sK10,sK9),
    inference(unit_resulting_resolution,[],[f382,f796,f411]) ).

fof(f23136,plain,
    para(sK9,sK10,sK10,sK9),
    inference(unit_resulting_resolution,[],[f388,f820,f475]) ).

fof(f29445,plain,
    coll(sK10,sK10,sK9),
    inference(unit_resulting_resolution,[],[f29427,f29427,f412]) ).

fof(f23458,plain,
    para(sK11,sK9,sK9,sK11),
    inference(unit_resulting_resolution,[],[f824,f851,f475]) ).

fof(f824,plain,
    perp(sK11,sK9,sK10,sK9),
    inference(unit_resulting_resolution,[],[f791,f409]) ).

fof(f25009,plain,
    coll(sK9,sK11,sK11),
    inference(unit_resulting_resolution,[],[f24721,f394]) ).

fof(f394,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/benchmark/theBenchmark.p',ruleD2) ).

fof(f275069,plain,
    ( perp(sK11,sK9,sK9,sK9)
    | ~ cong(sK9,sK11,sK9,sK11) ),
    inference(subsumption_resolution,[],[f274579,f45336]) ).

fof(f45336,plain,
    cong(sK9,sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f45317,f392]) ).

fof(f274579,plain,
    ( perp(sK11,sK9,sK9,sK9)
    | ~ cong(sK9,sK9,sK9,sK9)
    | ~ cong(sK9,sK11,sK9,sK11) ),
    inference(resolution,[],[f416,f247117]) ).

fof(f247117,plain,
    cyclic(sK9,sK9,sK11,sK9),
    inference(unit_resulting_resolution,[],[f243739,f403]) ).

fof(f403,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/benchmark/theBenchmark.p',ruleD15) ).

fof(f243739,plain,
    cyclic(sK9,sK11,sK9,sK9),
    inference(unit_resulting_resolution,[],[f222093,f401]) ).

fof(f401,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/benchmark/theBenchmark.p',ruleD16) ).

fof(f222093,plain,
    cyclic(sK11,sK9,sK9,sK9),
    inference(unit_resulting_resolution,[],[f48932,f48932,f446]) ).

fof(f446,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/benchmark/theBenchmark.p',ruleD17) ).

fof(f48932,plain,
    cyclic(sK5,sK11,sK9,sK9),
    inference(unit_resulting_resolution,[],[f24596,f16776,f420]) ).

fof(f420,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/benchmark/theBenchmark.p',ruleD42b) ).

fof(f16776,plain,
    ! [X0,X1] : eqangle(sK9,sK5,X0,X1,sK9,sK5,X0,X1),
    inference(unit_resulting_resolution,[],[f8038,f459]) ).

fof(f459,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/sandbox/benchmark/theBenchmark.p',ruleD40) ).

fof(f8038,plain,
    para(sK9,sK5,sK9,sK5),
    inference(unit_resulting_resolution,[],[f6036,f405]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f187]) ).

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

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD4) ).

fof(f6036,plain,
    para(sK9,sK5,sK5,sK9),
    inference(unit_resulting_resolution,[],[f386,f509,f438]) ).

fof(f438,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/benchmark/theBenchmark.p',ruleD63) ).

fof(f509,plain,
    midp(sK19,sK5,sK9),
    inference(unit_resulting_resolution,[],[f386,f390]) ).

fof(f386,plain,
    midp(sK19,sK9,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f416,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/sandbox/benchmark/theBenchmark.p',ruleD57) ).

fof(f389,plain,
    ~ para(sK11,sK9,sK6,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f853440,plain,
    perp(sK9,sK9,sK6,sK7),
    inference(unit_resulting_resolution,[],[f756573,f756574,f417]) ).

fof(f417,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f205]) ).

fof(f205,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f107]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD56) ).

fof(f756574,plain,
    cong(sK9,sK7,sK9,sK7),
    inference(unit_resulting_resolution,[],[f244963,f249416,f48968,f16759,f471]) ).

fof(f471,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f276]) ).

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

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

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

fof(f44,axiom,
    ! [X0,X1,X2,X8,X9,X14] :
      ( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X14)
        & cyclic(X0,X1,X2,X9)
        & cyclic(X0,X1,X2,X8) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD43) ).

fof(f16759,plain,
    ! [X0,X1] : eqangle(sK8,sK9,X0,X1,sK8,sK9,X0,X1),
    inference(unit_resulting_resolution,[],[f8022,f459]) ).

fof(f8022,plain,
    para(sK8,sK9,sK8,sK9),
    inference(unit_resulting_resolution,[],[f6032,f405]) ).

fof(f6032,plain,
    para(sK8,sK9,sK9,sK8),
    inference(unit_resulting_resolution,[],[f382,f507,f438]) ).

fof(f48968,plain,
    cyclic(sK9,sK7,sK8,sK8),
    inference(unit_resulting_resolution,[],[f2236,f16759,f420]) ).

fof(f2236,plain,
    coll(sK8,sK8,sK7),
    inference(unit_resulting_resolution,[],[f1419,f1419,f412]) ).

fof(f1419,plain,
    coll(sK7,sK5,sK8),
    inference(unit_resulting_resolution,[],[f1085,f393]) ).

fof(f1085,plain,
    coll(sK7,sK8,sK5),
    inference(unit_resulting_resolution,[],[f921,f930,f412]) ).

fof(f930,plain,
    coll(sK5,sK5,sK8),
    inference(unit_resulting_resolution,[],[f557,f557,f412]) ).

fof(f557,plain,
    coll(sK8,sK18,sK5),
    inference(unit_resulting_resolution,[],[f520,f394]) ).

fof(f520,plain,
    coll(sK18,sK8,sK5),
    inference(unit_resulting_resolution,[],[f384,f391]) ).

fof(f384,plain,
    midp(sK18,sK8,sK5),
    inference(cnf_transformation,[],[f330]) ).

fof(f921,plain,
    coll(sK5,sK5,sK7),
    inference(unit_resulting_resolution,[],[f553,f553,f412]) ).

fof(f553,plain,
    coll(sK7,sK9,sK5),
    inference(unit_resulting_resolution,[],[f532,f394]) ).

fof(f532,plain,
    coll(sK9,sK7,sK5),
    inference(unit_resulting_resolution,[],[f381,f393]) ).

fof(f381,plain,
    coll(sK9,sK5,sK7),
    inference(cnf_transformation,[],[f330]) ).

fof(f249416,plain,
    cyclic(sK9,sK7,sK8,sK7),
    inference(unit_resulting_resolution,[],[f244454,f244511,f446]) ).

fof(f244511,plain,
    cyclic(sK9,sK9,sK7,sK8),
    inference(unit_resulting_resolution,[],[f236275,f236299,f446]) ).

fof(f236299,plain,
    cyclic(sK5,sK9,sK9,sK8),
    inference(unit_resulting_resolution,[],[f84679,f402]) ).

fof(f402,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/benchmark/theBenchmark.p',ruleD14) ).

fof(f84679,plain,
    cyclic(sK5,sK9,sK8,sK9),
    inference(unit_resulting_resolution,[],[f48929,f403]) ).

fof(f48929,plain,
    cyclic(sK5,sK8,sK9,sK9),
    inference(unit_resulting_resolution,[],[f929,f16776,f420]) ).

fof(f929,plain,
    coll(sK9,sK9,sK8),
    inference(unit_resulting_resolution,[],[f555,f555,f412]) ).

fof(f555,plain,
    coll(sK8,sK17,sK9),
    inference(unit_resulting_resolution,[],[f519,f394]) ).

fof(f236275,plain,
    cyclic(sK5,sK9,sK9,sK7),
    inference(unit_resulting_resolution,[],[f84668,f402]) ).

fof(f84668,plain,
    cyclic(sK5,sK9,sK7,sK9),
    inference(unit_resulting_resolution,[],[f48928,f403]) ).

fof(f48928,plain,
    cyclic(sK5,sK7,sK9,sK9),
    inference(unit_resulting_resolution,[],[f922,f16776,f420]) ).

fof(f922,plain,
    coll(sK9,sK9,sK7),
    inference(unit_resulting_resolution,[],[f580,f580,f412]) ).

fof(f580,plain,
    coll(sK7,sK5,sK9),
    inference(unit_resulting_resolution,[],[f553,f393]) ).

fof(f244454,plain,
    cyclic(sK9,sK9,sK7,sK7),
    inference(unit_resulting_resolution,[],[f236275,f236275,f446]) ).

fof(f244963,plain,
    cyclic(sK9,sK7,sK8,sK9),
    inference(unit_resulting_resolution,[],[f236583,f403]) ).

fof(f236583,plain,
    cyclic(sK9,sK8,sK7,sK9),
    inference(unit_resulting_resolution,[],[f84811,f401]) ).

fof(f84811,plain,
    cyclic(sK8,sK9,sK7,sK9),
    inference(unit_resulting_resolution,[],[f48948,f403]) ).

fof(f48948,plain,
    cyclic(sK8,sK7,sK9,sK9),
    inference(unit_resulting_resolution,[],[f922,f16772,f420]) ).

fof(f16772,plain,
    ! [X0,X1] : eqangle(sK9,sK8,X0,X1,sK9,sK8,X0,X1),
    inference(unit_resulting_resolution,[],[f8010,f459]) ).

fof(f8010,plain,
    para(sK9,sK8,sK9,sK8),
    inference(unit_resulting_resolution,[],[f6027,f405]) ).

fof(f6027,plain,
    para(sK9,sK8,sK8,sK9),
    inference(unit_resulting_resolution,[],[f507,f382,f438]) ).

fof(f756573,plain,
    cong(sK9,sK6,sK9,sK6),
    inference(unit_resulting_resolution,[],[f244920,f249394,f48967,f16759,f471]) ).

fof(f48967,plain,
    cyclic(sK9,sK6,sK8,sK8),
    inference(unit_resulting_resolution,[],[f919,f16759,f420]) ).

fof(f919,plain,
    coll(sK8,sK8,sK6),
    inference(unit_resulting_resolution,[],[f552,f552,f412]) ).

fof(f552,plain,
    coll(sK6,sK9,sK8),
    inference(unit_resulting_resolution,[],[f380,f394]) ).

fof(f380,plain,
    coll(sK9,sK6,sK8),
    inference(cnf_transformation,[],[f330]) ).

fof(f249394,plain,
    cyclic(sK9,sK6,sK8,sK6),
    inference(unit_resulting_resolution,[],[f244264,f244510,f446]) ).

fof(f244510,plain,
    cyclic(sK9,sK9,sK6,sK8),
    inference(unit_resulting_resolution,[],[f236242,f236299,f446]) ).

fof(f236242,plain,
    cyclic(sK5,sK9,sK9,sK6),
    inference(unit_resulting_resolution,[],[f84657,f402]) ).

fof(f84657,plain,
    cyclic(sK5,sK9,sK6,sK9),
    inference(unit_resulting_resolution,[],[f48927,f403]) ).

fof(f48927,plain,
    cyclic(sK5,sK6,sK9,sK9),
    inference(unit_resulting_resolution,[],[f920,f16776,f420]) ).

fof(f920,plain,
    coll(sK9,sK9,sK6),
    inference(unit_resulting_resolution,[],[f576,f576,f412]) ).

fof(f576,plain,
    coll(sK6,sK8,sK9),
    inference(unit_resulting_resolution,[],[f552,f393]) ).

fof(f244264,plain,
    cyclic(sK9,sK9,sK6,sK6),
    inference(unit_resulting_resolution,[],[f236242,f236242,f446]) ).

fof(f244920,plain,
    cyclic(sK9,sK6,sK8,sK9),
    inference(unit_resulting_resolution,[],[f236561,f403]) ).

fof(f236561,plain,
    cyclic(sK9,sK8,sK6,sK9),
    inference(unit_resulting_resolution,[],[f84800,f401]) ).

fof(f84800,plain,
    cyclic(sK8,sK9,sK6,sK9),
    inference(unit_resulting_resolution,[],[f48947,f403]) ).

fof(f48947,plain,
    cyclic(sK8,sK6,sK9,sK9),
    inference(unit_resulting_resolution,[],[f920,f16772,f420]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : GEO649+1 : TPTP v8.1.2. Released v7.5.0.
% 0.02/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Fri May  3 22:00:37 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  % (11438)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36  % (11444)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 theBenchmark for (522ds/0Mi)
% 0.12/0.36  % (11441)WARNING: value z3 for option sas not known
% 0.12/0.36  % (11440)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.36  % (11442)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.12/0.36  % (11445)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 theBenchmark for (497ds/0Mi)
% 0.12/0.36  % (11443)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 theBenchmark for (531ds/0Mi)
% 0.12/0.36  % (11441)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 theBenchmark for (569ds/0Mi)
% 0.12/0.36  % (11439)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.37  TRYING [1]
% 0.18/0.37  TRYING [2]
% 0.18/0.43  TRYING [3]
% 0.18/0.44  TRYING [1]
% 0.18/0.45  TRYING [2]
% 5.68/1.17  TRYING [1]
% 5.87/1.17  TRYING [2]
% 6.23/1.24  TRYING [3]
% 7.78/1.46  TRYING [3]
% 89.20/13.11  TRYING [4]
% 111.50/16.34  % (11445)First to succeed.
% 111.50/16.35  % (11445)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11438"
% 111.92/16.41  % (11445)Refutation found. Thanks to Tanya!
% 111.92/16.41  % SZS status Theorem for theBenchmark
% 111.92/16.41  % SZS output start Proof for theBenchmark
% See solution above
% 111.92/16.41  % (11445)------------------------------
% 111.92/16.41  % (11445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 111.92/16.41  % (11445)Termination reason: Refutation
% 111.92/16.41  
% 111.92/16.41  % (11445)Memory used [KB]: 395126
% 111.92/16.41  % (11445)Time elapsed: 16.005 s
% 111.92/16.41  % (11445)Instructions burned: 38204 (million)
% 111.92/16.41  % (11438)Success in time 15.973 s
%------------------------------------------------------------------------------