TSTP Solution File: GEO545+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO545+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 : n013.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 23:36:19 EDT 2023

% Result   : Theorem 10.85s 2.00s
% Output   : Refutation 10.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  199 ( 115 unt;   0 def)
%            Number of atoms       :  539 (   0 equ)
%            Maximal formula atoms :   56 (   2 avg)
%            Number of connectives :  430 (  90   ~;  80   |; 229   &)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  429 (; 369   !;  60   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f319483,plain,
    $false,
    inference(subsumption_resolution,[],[f318901,f270690]) ).

fof(f270690,plain,
    ~ para(sK6,sK5,sK17,sK19),
    inference(unit_resulting_resolution,[],[f982,f192257,f469]) ).

fof(f469,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f280]) ).

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

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

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD10) ).

fof(f192257,plain,
    perp(sK17,sK19,sK7,sK4),
    inference(unit_resulting_resolution,[],[f79317,f84257,f469]) ).

fof(f84257,plain,
    perp(sK2,sK1,sK7,sK4),
    inference(unit_resulting_resolution,[],[f80255,f80249,f415]) ).

fof(f415,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/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD56) ).

fof(f80249,plain,
    cong(sK2,sK4,sK1,sK4),
    inference(unit_resulting_resolution,[],[f80200,f405]) ).

fof(f405,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/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD23) ).

fof(f80200,plain,
    cong(sK2,sK4,sK4,sK1),
    inference(unit_resulting_resolution,[],[f80132,f406]) ).

fof(f406,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/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD24) ).

fof(f80132,plain,
    cong(sK4,sK1,sK2,sK4),
    inference(unit_resulting_resolution,[],[f80111,f405]) ).

fof(f80111,plain,
    cong(sK4,sK1,sK4,sK2),
    inference(unit_resulting_resolution,[],[f367,f1004,f409]) ).

fof(f409,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/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD55) ).

fof(f1004,plain,
    perp(sK4,sK10,sK1,sK2),
    inference(unit_resulting_resolution,[],[f956,f408]) ).

fof(f408,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD8) ).

fof(f956,plain,
    perp(sK1,sK2,sK4,sK10),
    inference(unit_resulting_resolution,[],[f368,f407]) ).

fof(f407,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f191]) ).

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

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD7) ).

fof(f368,plain,
    perp(sK1,sK2,sK10,sK4),
    inference(cnf_transformation,[],[f322]) ).

fof(f322,plain,
    ( ~ perp(sK7,sK4,sK6,sK5)
    & perp(sK3,sK2,sK19,sK7)
    & midp(sK19,sK3,sK2)
    & perp(sK1,sK2,sK18,sK7)
    & midp(sK18,sK1,sK2)
    & perp(sK1,sK3,sK17,sK7)
    & midp(sK17,sK1,sK3)
    & perp(sK3,sK2,sK16,sK6)
    & midp(sK16,sK3,sK2)
    & perp(sK0,sK2,sK15,sK6)
    & midp(sK15,sK0,sK2)
    & perp(sK0,sK3,sK14,sK6)
    & midp(sK14,sK0,sK3)
    & perp(sK1,sK3,sK13,sK5)
    & midp(sK13,sK1,sK3)
    & perp(sK0,sK3,sK12,sK5)
    & midp(sK12,sK0,sK3)
    & perp(sK0,sK1,sK11,sK5)
    & midp(sK11,sK0,sK1)
    & perp(sK1,sK2,sK10,sK4)
    & midp(sK10,sK1,sK2)
    & perp(sK0,sK2,sK9,sK4)
    & midp(sK9,sK0,sK2)
    & perp(sK0,sK1,sK8,sK4)
    & midp(sK8,sK0,sK1)
    & perp(sK1,sK2,sK0,sK3)
    & perp(sK0,sK2,sK1,sK3)
    & perp(sK0,sK1,sK2,sK3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f169,f321]) ).

fof(f321,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
        ( ~ perp(X7,X4,X6,X5)
        & perp(X3,X2,X19,X7)
        & midp(X19,X3,X2)
        & perp(X1,X2,X18,X7)
        & midp(X18,X1,X2)
        & perp(X1,X3,X17,X7)
        & midp(X17,X1,X3)
        & perp(X3,X2,X16,X6)
        & midp(X16,X3,X2)
        & perp(X0,X2,X15,X6)
        & midp(X15,X0,X2)
        & perp(X0,X3,X14,X6)
        & midp(X14,X0,X3)
        & perp(X1,X3,X13,X5)
        & midp(X13,X1,X3)
        & perp(X0,X3,X12,X5)
        & midp(X12,X0,X3)
        & perp(X0,X1,X11,X5)
        & midp(X11,X0,X1)
        & perp(X1,X2,X10,X4)
        & midp(X10,X1,X2)
        & perp(X0,X2,X9,X4)
        & midp(X9,X0,X2)
        & perp(X0,X1,X8,X4)
        & midp(X8,X0,X1)
        & perp(X1,X2,X0,X3)
        & perp(X0,X2,X1,X3)
        & perp(X0,X1,X2,X3) )
   => ( ~ perp(sK7,sK4,sK6,sK5)
      & perp(sK3,sK2,sK19,sK7)
      & midp(sK19,sK3,sK2)
      & perp(sK1,sK2,sK18,sK7)
      & midp(sK18,sK1,sK2)
      & perp(sK1,sK3,sK17,sK7)
      & midp(sK17,sK1,sK3)
      & perp(sK3,sK2,sK16,sK6)
      & midp(sK16,sK3,sK2)
      & perp(sK0,sK2,sK15,sK6)
      & midp(sK15,sK0,sK2)
      & perp(sK0,sK3,sK14,sK6)
      & midp(sK14,sK0,sK3)
      & perp(sK1,sK3,sK13,sK5)
      & midp(sK13,sK1,sK3)
      & perp(sK0,sK3,sK12,sK5)
      & midp(sK12,sK0,sK3)
      & perp(sK0,sK1,sK11,sK5)
      & midp(sK11,sK0,sK1)
      & perp(sK1,sK2,sK10,sK4)
      & midp(sK10,sK1,sK2)
      & perp(sK0,sK2,sK9,sK4)
      & midp(sK9,sK0,sK2)
      & perp(sK0,sK1,sK8,sK4)
      & midp(sK8,sK0,sK1)
      & perp(sK1,sK2,sK0,sK3)
      & perp(sK0,sK2,sK1,sK3)
      & perp(sK0,sK1,sK2,sK3) ) ),
    introduced(choice_axiom,[]) ).

fof(f169,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X3,X2,X19,X7)
      & midp(X19,X3,X2)
      & perp(X1,X2,X18,X7)
      & midp(X18,X1,X2)
      & perp(X1,X3,X17,X7)
      & midp(X17,X1,X3)
      & perp(X3,X2,X16,X6)
      & midp(X16,X3,X2)
      & perp(X0,X2,X15,X6)
      & midp(X15,X0,X2)
      & perp(X0,X3,X14,X6)
      & midp(X14,X0,X3)
      & perp(X1,X3,X13,X5)
      & midp(X13,X1,X3)
      & perp(X0,X3,X12,X5)
      & midp(X12,X0,X3)
      & perp(X0,X1,X11,X5)
      & midp(X11,X0,X1)
      & perp(X1,X2,X10,X4)
      & midp(X10,X1,X2)
      & perp(X0,X2,X9,X4)
      & midp(X9,X0,X2)
      & perp(X0,X1,X8,X4)
      & midp(X8,X0,X1)
      & perp(X1,X2,X0,X3)
      & perp(X0,X2,X1,X3)
      & perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X3,X2,X19,X7)
      & midp(X19,X3,X2)
      & perp(X1,X2,X18,X7)
      & midp(X18,X1,X2)
      & perp(X1,X3,X17,X7)
      & midp(X17,X1,X3)
      & perp(X3,X2,X16,X6)
      & midp(X16,X3,X2)
      & perp(X0,X2,X15,X6)
      & midp(X15,X0,X2)
      & perp(X0,X3,X14,X6)
      & midp(X14,X0,X3)
      & perp(X1,X3,X13,X5)
      & midp(X13,X1,X3)
      & perp(X0,X3,X12,X5)
      & midp(X12,X0,X3)
      & perp(X0,X1,X11,X5)
      & midp(X11,X0,X1)
      & perp(X1,X2,X10,X4)
      & midp(X10,X1,X2)
      & perp(X0,X2,X9,X4)
      & midp(X9,X0,X2)
      & perp(X0,X1,X8,X4)
      & midp(X8,X0,X1)
      & perp(X1,X2,X0,X3)
      & perp(X0,X2,X1,X3)
      & perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
        ( ( perp(X3,X2,X19,X7)
          & midp(X19,X3,X2)
          & perp(X1,X2,X18,X7)
          & midp(X18,X1,X2)
          & perp(X1,X3,X17,X7)
          & midp(X17,X1,X3)
          & perp(X3,X2,X16,X6)
          & midp(X16,X3,X2)
          & perp(X0,X2,X15,X6)
          & midp(X15,X0,X2)
          & perp(X0,X3,X14,X6)
          & midp(X14,X0,X3)
          & perp(X1,X3,X13,X5)
          & midp(X13,X1,X3)
          & perp(X0,X3,X12,X5)
          & midp(X12,X0,X3)
          & perp(X0,X1,X11,X5)
          & midp(X11,X0,X1)
          & perp(X1,X2,X10,X4)
          & midp(X10,X1,X2)
          & perp(X0,X2,X9,X4)
          & midp(X9,X0,X2)
          & perp(X0,X1,X8,X4)
          & midp(X8,X0,X1)
          & perp(X1,X2,X0,X3)
          & perp(X0,X2,X1,X3)
          & perp(X0,X1,X2,X3) )
       => perp(X7,X4,X6,X5) ),
    inference(rectify,[],[f96]) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
        ( ( perp(X13,X2,X32,X20)
          & midp(X32,X13,X2)
          & perp(X1,X2,X31,X20)
          & midp(X31,X1,X2)
          & perp(X1,X13,X30,X20)
          & midp(X30,X1,X13)
          & perp(X13,X2,X29,X19)
          & midp(X29,X13,X2)
          & perp(X0,X2,X28,X19)
          & midp(X28,X0,X2)
          & perp(X0,X13,X27,X19)
          & midp(X27,X0,X13)
          & perp(X1,X13,X26,X18)
          & midp(X26,X1,X13)
          & perp(X0,X13,X25,X18)
          & midp(X25,X0,X13)
          & perp(X0,X1,X24,X18)
          & midp(X24,X0,X1)
          & perp(X1,X2,X23,X7)
          & midp(X23,X1,X2)
          & perp(X0,X2,X22,X7)
          & midp(X22,X0,X2)
          & perp(X0,X1,X21,X7)
          & midp(X21,X0,X1)
          & perp(X1,X2,X0,X13)
          & perp(X0,X2,X1,X13)
          & perp(X0,X1,X2,X13) )
       => perp(X20,X7,X19,X18) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X13,X7,X18,X19,X20,X21,X22,X23,X24,X25,X26,X27,X28,X29,X30,X31,X32] :
      ( ( perp(X13,X2,X32,X20)
        & midp(X32,X13,X2)
        & perp(X1,X2,X31,X20)
        & midp(X31,X1,X2)
        & perp(X1,X13,X30,X20)
        & midp(X30,X1,X13)
        & perp(X13,X2,X29,X19)
        & midp(X29,X13,X2)
        & perp(X0,X2,X28,X19)
        & midp(X28,X0,X2)
        & perp(X0,X13,X27,X19)
        & midp(X27,X0,X13)
        & perp(X1,X13,X26,X18)
        & midp(X26,X1,X13)
        & perp(X0,X13,X25,X18)
        & midp(X25,X0,X13)
        & perp(X0,X1,X24,X18)
        & midp(X24,X0,X1)
        & perp(X1,X2,X23,X7)
        & midp(X23,X1,X2)
        & perp(X0,X2,X22,X7)
        & midp(X22,X0,X2)
        & perp(X0,X1,X21,X7)
        & midp(X21,X0,X1)
        & perp(X1,X2,X0,X13)
        & perp(X0,X2,X1,X13)
        & perp(X0,X1,X2,X13) )
     => perp(X20,X7,X19,X18) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',exemplo6GDDFULL012005) ).

fof(f367,plain,
    midp(sK10,sK1,sK2),
    inference(cnf_transformation,[],[f322]) ).

fof(f80255,plain,
    cong(sK2,sK7,sK1,sK7),
    inference(unit_resulting_resolution,[],[f80206,f405]) ).

fof(f80206,plain,
    cong(sK2,sK7,sK7,sK1),
    inference(unit_resulting_resolution,[],[f80141,f406]) ).

fof(f80141,plain,
    cong(sK7,sK1,sK2,sK7),
    inference(unit_resulting_resolution,[],[f80114,f405]) ).

fof(f80114,plain,
    cong(sK7,sK1,sK7,sK2),
    inference(unit_resulting_resolution,[],[f383,f1012,f409]) ).

fof(f1012,plain,
    perp(sK7,sK18,sK1,sK2),
    inference(unit_resulting_resolution,[],[f964,f408]) ).

fof(f964,plain,
    perp(sK1,sK2,sK7,sK18),
    inference(unit_resulting_resolution,[],[f384,f407]) ).

fof(f384,plain,
    perp(sK1,sK2,sK18,sK7),
    inference(cnf_transformation,[],[f322]) ).

fof(f383,plain,
    midp(sK18,sK1,sK2),
    inference(cnf_transformation,[],[f322]) ).

fof(f79317,plain,
    para(sK17,sK19,sK2,sK1),
    inference(unit_resulting_resolution,[],[f70341,f403]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f187]) ).

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

fof(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD4) ).

fof(f70341,plain,
    para(sK17,sK19,sK1,sK2),
    inference(unit_resulting_resolution,[],[f549,f385,f436]) ).

fof(f436,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f233]) ).

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

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

fof(f119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD44) ).

fof(f385,plain,
    midp(sK19,sK3,sK2),
    inference(cnf_transformation,[],[f322]) ).

fof(f549,plain,
    midp(sK17,sK3,sK1),
    inference(unit_resulting_resolution,[],[f381,f388]) ).

fof(f388,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X2,X1,X0)
      | midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD11) ).

fof(f381,plain,
    midp(sK17,sK1,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f982,plain,
    ~ perp(sK6,sK5,sK7,sK4),
    inference(unit_resulting_resolution,[],[f387,f408]) ).

fof(f387,plain,
    ~ perp(sK7,sK4,sK6,sK5),
    inference(cnf_transformation,[],[f322]) ).

fof(f318901,plain,
    para(sK6,sK5,sK17,sK19),
    inference(unit_resulting_resolution,[],[f84766,f89178,f471]) ).

fof(f471,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f284]) ).

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

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD9) ).

fof(f89178,plain,
    perp(sK3,sK0,sK17,sK19),
    inference(unit_resulting_resolution,[],[f87292,f87293,f415]) ).

fof(f87293,plain,
    cong(sK3,sK19,sK0,sK19),
    inference(unit_resulting_resolution,[],[f83866,f85873,f416]) ).

fof(f416,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X1,X2)
      | ~ midp(X3,X0,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f208]) ).

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

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

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

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD52) ).

fof(f85873,plain,
    perp(sK3,sK0,sK0,sK3),
    inference(unit_resulting_resolution,[],[f1644,f83290,f411]) ).

fof(f411,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | ~ coll(X3,X0,X2)
      | perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f197]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD53) ).

fof(f83290,plain,
    circle(sK12,sK3,sK0,sK3),
    inference(unit_resulting_resolution,[],[f753,f82483,f413]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f202]) ).

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

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

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

fof(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD12) ).

fof(f82483,plain,
    cong(sK12,sK3,sK12,sK3),
    inference(unit_resulting_resolution,[],[f82154,f405]) ).

fof(f82154,plain,
    cong(sK12,sK3,sK3,sK12),
    inference(unit_resulting_resolution,[],[f81721,f406]) ).

fof(f81721,plain,
    cong(sK3,sK12,sK12,sK3),
    inference(unit_resulting_resolution,[],[f81620,f405]) ).

fof(f81620,plain,
    cong(sK3,sK12,sK3,sK12),
    inference(unit_resulting_resolution,[],[f544,f81563,f416]) ).

fof(f81563,plain,
    perp(sK3,sK3,sK3,sK0),
    inference(unit_resulting_resolution,[],[f81498,f407]) ).

fof(f81498,plain,
    perp(sK3,sK3,sK0,sK3),
    inference(unit_resulting_resolution,[],[f81449,f408]) ).

fof(f81449,plain,
    perp(sK0,sK3,sK3,sK3),
    inference(unit_resulting_resolution,[],[f568,f81385,f411]) ).

fof(f81385,plain,
    circle(sK12,sK0,sK3,sK3),
    inference(unit_resulting_resolution,[],[f736,f736,f413]) ).

fof(f736,plain,
    cong(sK12,sK0,sK12,sK3),
    inference(unit_resulting_resolution,[],[f371,f390]) ).

fof(f390,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/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD68) ).

fof(f371,plain,
    midp(sK12,sK0,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f568,plain,
    coll(sK12,sK0,sK3),
    inference(unit_resulting_resolution,[],[f371,f389]) ).

fof(f389,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f171,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD69) ).

fof(f544,plain,
    midp(sK12,sK3,sK0),
    inference(unit_resulting_resolution,[],[f371,f388]) ).

fof(f753,plain,
    cong(sK12,sK3,sK12,sK0),
    inference(unit_resulting_resolution,[],[f544,f390]) ).

fof(f1644,plain,
    coll(sK12,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1319,f392]) ).

fof(f392,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f174]) ).

fof(f174,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD2) ).

fof(f1319,plain,
    coll(sK3,sK12,sK3),
    inference(unit_resulting_resolution,[],[f1221,f391]) ).

fof(f391,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f173,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD1) ).

fof(f1221,plain,
    coll(sK3,sK3,sK12),
    inference(unit_resulting_resolution,[],[f568,f568,f410]) ).

fof(f410,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | coll(X2,X3,X0)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f195]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD3) ).

fof(f83866,plain,
    midp(sK19,sK3,sK3),
    inference(unit_resulting_resolution,[],[f2204,f82529,f395]) ).

fof(f395,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f178,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f177]) ).

fof(f177,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291',ruleD67) ).

fof(f82529,plain,
    cong(sK19,sK3,sK19,sK3),
    inference(unit_resulting_resolution,[],[f82018,f82185,f416]) ).

fof(f82185,plain,
    perp(sK19,sK19,sK19,sK19),
    inference(unit_resulting_resolution,[],[f3487,f81850,f411]) ).

fof(f81850,plain,
    circle(sK2,sK19,sK19,sK19),
    inference(unit_resulting_resolution,[],[f81633,f81633,f413]) ).

fof(f81633,plain,
    cong(sK2,sK19,sK2,sK19),
    inference(unit_resulting_resolution,[],[f552,f81569,f416]) ).

fof(f81569,plain,
    perp(sK2,sK2,sK2,sK3),
    inference(unit_resulting_resolution,[],[f81510,f407]) ).

fof(f81510,plain,
    perp(sK2,sK2,sK3,sK2),
    inference(unit_resulting_resolution,[],[f81463,f408]) ).

fof(f81463,plain,
    perp(sK3,sK2,sK2,sK2),
    inference(unit_resulting_resolution,[],[f583,f81440,f411]) ).

fof(f81440,plain,
    circle(sK16,sK3,sK2,sK2),
    inference(unit_resulting_resolution,[],[f751,f751,f413]) ).

fof(f751,plain,
    cong(sK16,sK3,sK16,sK2),
    inference(unit_resulting_resolution,[],[f379,f390]) ).

fof(f379,plain,
    midp(sK16,sK3,sK2),
    inference(cnf_transformation,[],[f322]) ).

fof(f583,plain,
    coll(sK16,sK3,sK2),
    inference(unit_resulting_resolution,[],[f379,f389]) ).

fof(f552,plain,
    midp(sK19,sK2,sK3),
    inference(unit_resulting_resolution,[],[f385,f388]) ).

fof(f3487,plain,
    coll(sK2,sK19,sK19),
    inference(unit_resulting_resolution,[],[f584,f1885,f410]) ).

fof(f1885,plain,
    coll(sK19,sK3,sK19),
    inference(unit_resulting_resolution,[],[f1259,f391]) ).

fof(f1259,plain,
    coll(sK19,sK19,sK3),
    inference(unit_resulting_resolution,[],[f660,f660,f410]) ).

fof(f660,plain,
    coll(sK3,sK2,sK19),
    inference(unit_resulting_resolution,[],[f632,f391]) ).

fof(f632,plain,
    coll(sK3,sK19,sK2),
    inference(unit_resulting_resolution,[],[f584,f392]) ).

fof(f584,plain,
    coll(sK19,sK3,sK2),
    inference(unit_resulting_resolution,[],[f385,f389]) ).

fof(f82018,plain,
    midp(sK3,sK19,sK19),
    inference(unit_resulting_resolution,[],[f3490,f81649,f395]) ).

fof(f81649,plain,
    cong(sK3,sK19,sK3,sK19),
    inference(unit_resulting_resolution,[],[f385,f81605,f416]) ).

fof(f81605,plain,
    perp(sK3,sK3,sK3,sK2),
    inference(unit_resulting_resolution,[],[f81546,f407]) ).

fof(f81546,plain,
    perp(sK3,sK3,sK2,sK3),
    inference(unit_resulting_resolution,[],[f81479,f408]) ).

fof(f81479,plain,
    perp(sK2,sK3,sK3,sK3),
    inference(unit_resulting_resolution,[],[f581,f81422,f411]) ).

fof(f81422,plain,
    circle(sK16,sK2,sK3,sK3),
    inference(unit_resulting_resolution,[],[f749,f749,f413]) ).

fof(f749,plain,
    cong(sK16,sK2,sK16,sK3),
    inference(unit_resulting_resolution,[],[f551,f390]) ).

fof(f551,plain,
    midp(sK16,sK2,sK3),
    inference(unit_resulting_resolution,[],[f379,f388]) ).

fof(f581,plain,
    coll(sK16,sK2,sK3),
    inference(unit_resulting_resolution,[],[f551,f389]) ).

fof(f3490,plain,
    coll(sK3,sK19,sK19),
    inference(unit_resulting_resolution,[],[f1885,f392]) ).

fof(f2204,plain,
    coll(sK19,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1465,f392]) ).

fof(f1465,plain,
    coll(sK3,sK19,sK3),
    inference(unit_resulting_resolution,[],[f1247,f391]) ).

fof(f1247,plain,
    coll(sK3,sK3,sK19),
    inference(unit_resulting_resolution,[],[f582,f582,f410]) ).

fof(f582,plain,
    coll(sK19,sK2,sK3),
    inference(unit_resulting_resolution,[],[f552,f389]) ).

fof(f87292,plain,
    cong(sK3,sK17,sK0,sK17),
    inference(unit_resulting_resolution,[],[f83665,f85873,f416]) ).

fof(f83665,plain,
    midp(sK17,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1722,f82513,f395]) ).

fof(f82513,plain,
    cong(sK17,sK3,sK17,sK3),
    inference(unit_resulting_resolution,[],[f82174,f405]) ).

fof(f82174,plain,
    cong(sK17,sK3,sK3,sK17),
    inference(unit_resulting_resolution,[],[f81806,f406]) ).

fof(f81806,plain,
    cong(sK3,sK17,sK17,sK3),
    inference(unit_resulting_resolution,[],[f81629,f405]) ).

fof(f81629,plain,
    cong(sK3,sK17,sK3,sK17),
    inference(unit_resulting_resolution,[],[f549,f81567,f416]) ).

fof(f81567,plain,
    perp(sK3,sK3,sK3,sK1),
    inference(unit_resulting_resolution,[],[f81506,f407]) ).

fof(f81506,plain,
    perp(sK3,sK3,sK1,sK3),
    inference(unit_resulting_resolution,[],[f81457,f408]) ).

fof(f81457,plain,
    perp(sK1,sK3,sK3,sK3),
    inference(unit_resulting_resolution,[],[f574,f81403,f411]) ).

fof(f81403,plain,
    circle(sK13,sK1,sK3,sK3),
    inference(unit_resulting_resolution,[],[f742,f742,f413]) ).

fof(f742,plain,
    cong(sK13,sK1,sK13,sK3),
    inference(unit_resulting_resolution,[],[f373,f390]) ).

fof(f373,plain,
    midp(sK13,sK1,sK3),
    inference(cnf_transformation,[],[f322]) ).

fof(f574,plain,
    coll(sK13,sK1,sK3),
    inference(unit_resulting_resolution,[],[f373,f389]) ).

fof(f1722,plain,
    coll(sK17,sK3,sK3),
    inference(unit_resulting_resolution,[],[f1357,f392]) ).

fof(f1357,plain,
    coll(sK3,sK17,sK3),
    inference(unit_resulting_resolution,[],[f1240,f391]) ).

fof(f1240,plain,
    coll(sK3,sK3,sK17),
    inference(unit_resulting_resolution,[],[f575,f575,f410]) ).

fof(f575,plain,
    coll(sK17,sK1,sK3),
    inference(unit_resulting_resolution,[],[f381,f389]) ).

fof(f84766,plain,
    perp(sK6,sK5,sK3,sK0),
    inference(unit_resulting_resolution,[],[f84277,f408]) ).

fof(f84277,plain,
    perp(sK3,sK0,sK6,sK5),
    inference(unit_resulting_resolution,[],[f80263,f80259,f415]) ).

fof(f80259,plain,
    cong(sK3,sK5,sK0,sK5),
    inference(unit_resulting_resolution,[],[f80210,f405]) ).

fof(f80210,plain,
    cong(sK3,sK5,sK5,sK0),
    inference(unit_resulting_resolution,[],[f80147,f406]) ).

fof(f80147,plain,
    cong(sK5,sK0,sK3,sK5),
    inference(unit_resulting_resolution,[],[f80116,f405]) ).

fof(f80116,plain,
    cong(sK5,sK0,sK5,sK3),
    inference(unit_resulting_resolution,[],[f371,f1006,f409]) ).

fof(f1006,plain,
    perp(sK5,sK12,sK0,sK3),
    inference(unit_resulting_resolution,[],[f958,f408]) ).

fof(f958,plain,
    perp(sK0,sK3,sK5,sK12),
    inference(unit_resulting_resolution,[],[f372,f407]) ).

fof(f372,plain,
    perp(sK0,sK3,sK12,sK5),
    inference(cnf_transformation,[],[f322]) ).

fof(f80263,plain,
    cong(sK3,sK6,sK0,sK6),
    inference(unit_resulting_resolution,[],[f80214,f405]) ).

fof(f80214,plain,
    cong(sK3,sK6,sK6,sK0),
    inference(unit_resulting_resolution,[],[f80153,f406]) ).

fof(f80153,plain,
    cong(sK6,sK0,sK3,sK6),
    inference(unit_resulting_resolution,[],[f80118,f405]) ).

fof(f80118,plain,
    cong(sK6,sK0,sK6,sK3),
    inference(unit_resulting_resolution,[],[f375,f1008,f409]) ).

fof(f1008,plain,
    perp(sK6,sK14,sK0,sK3),
    inference(unit_resulting_resolution,[],[f960,f408]) ).

fof(f960,plain,
    perp(sK0,sK3,sK6,sK14),
    inference(unit_resulting_resolution,[],[f376,f407]) ).

fof(f376,plain,
    perp(sK0,sK3,sK14,sK6),
    inference(cnf_transformation,[],[f322]) ).

fof(f375,plain,
    midp(sK14,sK0,sK3),
    inference(cnf_transformation,[],[f322]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem    : GEO545+1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.16  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38  % Computer : n013.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Tue Aug 29 21:14:47 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.16/0.38  This is a FOF_THM_RFO_SEQ problem
% 0.16/0.38  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.L45jBbqe8y/Vampire---4.8_5291
% 0.16/0.38  % (5456)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.45  % (5461)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)
% 0.24/0.45  % (5462)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)
% 0.24/0.45  % (5458)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.24/0.45  % (5459)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)
% 0.24/0.45  % (5457)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)
% 0.24/0.45  % (5463)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.24/0.45  % (5460)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 10.85/1.99  % (5462)First to succeed.
% 10.85/2.00  % (5462)Refutation found. Thanks to Tanya!
% 10.85/2.00  % SZS status Theorem for Vampire---4
% 10.85/2.00  % SZS output start Proof for Vampire---4
% See solution above
% 10.85/2.00  % (5462)------------------------------
% 10.85/2.00  % (5462)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.85/2.00  % (5462)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.85/2.00  % (5462)Termination reason: Refutation
% 10.85/2.00  
% 10.85/2.00  % (5462)Memory used [KB]: 55393
% 10.85/2.00  % (5462)Time elapsed: 1.546 s
% 10.85/2.00  % (5462)------------------------------
% 10.85/2.00  % (5462)------------------------------
% 10.85/2.00  % (5456)Success in time 1.608 s
% 10.85/2.00  % Vampire---4.8 exiting
%------------------------------------------------------------------------------