TSTP Solution File: GEO558+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:17:49 EDT 2024

% Result   : Theorem 84.86s 12.18s
% Output   : CNFRefutation 84.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   41
% Syntax   : Number of formulae    :  450 (  60 unt;   0 def)
%            Number of atoms       : 1145 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives : 1224 ( 529   ~; 520   |; 111   &)
%                                         (   0 <=>;  64  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-5 aty)
%            Number of variables   : 1146 (   0 sgn 760   !;  45   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X3)
        & coll(X0,X1,X2) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD3) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD5) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD7) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

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/benchmark/theBenchmark.p',ruleD9) ).

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/benchmark/theBenchmark.p',ruleD10) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD11) ).

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/benchmark/theBenchmark.p',ruleD12) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD23) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD24) ).

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/sandbox2/benchmark/theBenchmark.p',ruleD25) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

fof(f41,axiom,
    ! [X0,X1,X8,X9] :
      ( cyclic(X0,X1,X8,X9)
     => eqangle(X8,X0,X8,X1,X9,X0,X9,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD41) ).

fof(f43,axiom,
    ! [X0,X1,X8,X9] :
      ( ( coll(X8,X9,X1)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42b) ).

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/sandbox2/benchmark/theBenchmark.p',ruleD43) ).

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/benchmark/theBenchmark.p',ruleD44) ).

fof(f46,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( coll(X5,X0,X2)
        & para(X4,X5,X1,X2)
        & midp(X4,X0,X1) )
     => midp(X5,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD45) ).

fof(f50,axiom,
    ! [X0,X1,X2,X7,X15] :
      ( ( eqangle(X0,X15,X0,X1,X2,X0,X2,X1)
        & circle(X7,X0,X1,X2) )
     => perp(X7,X0,X0,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD49) ).

fof(f51,axiom,
    ! [X0,X1,X2,X7,X6] :
      ( ( midp(X6,X1,X2)
        & circle(X7,X0,X1,X2) )
     => eqangle(X0,X1,X0,X2,X7,X1,X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD50) ).

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/benchmark/theBenchmark.p',ruleD52) ).

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/benchmark/theBenchmark.p',ruleD53) ).

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/benchmark/theBenchmark.p',ruleD55) ).

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/benchmark/theBenchmark.p',ruleD56) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( midp(X6,X2,X3)
        & midp(X6,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD63) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X6] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X6,X0,X1) )
     => midp(X6,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( coll(X0,X1,X2)
        & cong(X0,X1,X0,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD68) ).

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

fof(f75,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( perp(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD74) ).

fof(f87,axiom,
    ! [X0,X1,X2,X7] :
    ? [X8] :
      ( circle(X7,X0,X1,X2)
     => perp(X8,X0,X0,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX11) ).

fof(f91,axiom,
    ! [X0,X1,X2,X4,X5] :
    ? [X8] :
      ( ( coll(X1,X4,X5)
        & perp(X0,X2,X2,X1) )
     => ( perp(X8,X0,X4,X5)
        & coll(X8,X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
      ( ( circle(X19,X18,X6,X22)
        & circle(X12,X0,X6,X21)
        & circle(X19,X18,X16,X1)
        & circle(X12,X0,X2,X1)
        & coll(X1,X2,X16)
        & coll(X1,X0,X18)
        & circle(X7,X0,X16,X20)
        & circle(X7,X0,X2,X18) )
     => perp(X1,X6,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012018) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X2,X18,X7,X16,X1,X12,X19,X6,X20,X21,X22] :
        ( ( circle(X19,X18,X6,X22)
          & circle(X12,X0,X6,X21)
          & circle(X19,X18,X16,X1)
          & circle(X12,X0,X2,X1)
          & coll(X1,X2,X16)
          & coll(X1,X0,X18)
          & circle(X7,X0,X16,X20)
          & circle(X7,X0,X2,X18) )
       => perp(X1,X6,X6,X7) ),
    inference(negated_conjecture,[],[f95]) ).

fof(f97,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X1,X0)
     => midp(X2,X0,X1) ),
    inference(rectify,[],[f11]) ).

fof(f98,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    inference(rectify,[],[f12]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(rectify,[],[f19]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f39]) ).

fof(f119,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(f120,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(rectify,[],[f41]) ).

fof(f122,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(f123,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(f124,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    inference(rectify,[],[f45]) ).

fof(f125,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(f129,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
        & circle(X3,X0,X1,X2) )
     => perp(X3,X0,X0,X4) ),
    inference(rectify,[],[f50]) ).

fof(f130,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X1,X2)
        & circle(X3,X0,X1,X2) )
     => eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
    inference(rectify,[],[f51]) ).

fof(f132,plain,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    inference(rectify,[],[f53]) ).

fof(f133,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X3,X0,X2)
        & circle(X3,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    inference(rectify,[],[f54]) ).

fof(f134,plain,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    inference(rectify,[],[f56]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f57]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    inference(rectify,[],[f64]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    inference(rectify,[],[f65]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( perp(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    inference(rectify,[],[f75]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    inference(rectify,[],[f87]) ).

fof(f163,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( coll(X1,X3,X4)
        & perp(X0,X2,X2,X1) )
     => ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) ) ),
    inference(rectify,[],[f91]) ).

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
        ( ( circle(X7,X2,X8,X11)
          & circle(X6,X0,X8,X10)
          & circle(X7,X2,X4,X5)
          & circle(X6,X0,X1,X5)
          & coll(X5,X1,X4)
          & coll(X5,X0,X2)
          & circle(X3,X0,X4,X9)
          & circle(X3,X0,X1,X2) )
       => perp(X5,X8,X8,X3) ),
    inference(rectify,[],[f96]) ).

fof(f168,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f169,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f170,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f171,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f170]) ).

fof(f173,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f176,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f178,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(f179,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f178]) ).

fof(f180,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(f181,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f180]) ).

fof(f182,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f183]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f200,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(f201,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(flattening,[],[f200]) ).

fof(f218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f219,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f119]) ).

fof(f220,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f120]) ).

fof(f223,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,[],[f122]) ).

fof(f224,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,[],[f223]) ).

fof(f225,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,[],[f123]) ).

fof(f226,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,[],[f225]) ).

fof(f227,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f124]) ).

fof(f228,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f227]) ).

fof(f229,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,[],[f125]) ).

fof(f230,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,[],[f229]) ).

fof(f236,plain,
    ! [X0,X1,X2,X3,X4] :
      ( perp(X3,X0,X0,X4)
      | ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f237,plain,
    ! [X0,X1,X2,X3,X4] :
      ( perp(X3,X0,X0,X4)
      | ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f236]) ).

fof(f238,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ midp(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f130]) ).

fof(f239,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ midp(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f238]) ).

fof(f242,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(ennf_transformation,[],[f132]) ).

fof(f243,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(flattening,[],[f242]) ).

fof(f244,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f133]) ).

fof(f245,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f244]) ).

fof(f248,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f249,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(flattening,[],[f248]) ).

fof(f250,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f135]) ).

fof(f251,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f250]) ).

fof(f261,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f142]) ).

fof(f262,plain,
    ! [X0,X1,X2,X3,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f261]) ).

fof(f263,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(ennf_transformation,[],[f143]) ).

fof(f264,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(flattening,[],[f263]) ).

fof(f267,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f268,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f269,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(flattening,[],[f268]) ).

fof(f270,plain,
    ! [X0,X1,X2] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f271,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

fof(f280,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f147]) ).

fof(f281,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f280]) ).

fof(f304,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f159]) ).

fof(f311,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(ennf_transformation,[],[f163]) ).

fof(f312,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X5,X0,X3,X4)
        & coll(X5,X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(flattening,[],[f311]) ).

fof(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ perp(X5,X8,X8,X3)
      & circle(X7,X2,X8,X11)
      & circle(X6,X0,X8,X10)
      & circle(X7,X2,X4,X5)
      & circle(X6,X0,X1,X5)
      & coll(X5,X1,X4)
      & coll(X5,X0,X2)
      & circle(X3,X0,X4,X9)
      & circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ perp(X5,X8,X8,X3)
      & circle(X7,X2,X8,X11)
      & circle(X6,X0,X8,X10)
      & circle(X7,X2,X4,X5)
      & circle(X6,X0,X1,X5)
      & coll(X5,X1,X4)
      & coll(X5,X0,X2)
      & circle(X3,X0,X4,X9)
      & circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f319]) ).

fof(f342,plain,
    ! [X0,X1,X2,X3] :
      ( ? [X4] :
          ( perp(X4,X0,X0,X3)
          | ~ circle(X3,X0,X1,X2) )
     => ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
        | ~ circle(X3,X0,X1,X2) ) ),
    introduced(choice_axiom,[]) ).

fof(f343,plain,
    ! [X0,X1,X2,X3] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f304,f342]) ).

fof(f350,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5] :
          ( ( perp(X5,X0,X3,X4)
            & coll(X5,X3,X4) )
          | ~ coll(X1,X3,X4)
          | ~ perp(X0,X2,X2,X1) )
     => ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
          & coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
        | ~ coll(X1,X3,X4)
        | ~ perp(X0,X2,X2,X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f351,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
        & coll(sK16(X0,X1,X2,X3,X4),X3,X4) )
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f312,f350]) ).

fof(f358,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
        ( ~ perp(X5,X8,X8,X3)
        & circle(X7,X2,X8,X11)
        & circle(X6,X0,X8,X10)
        & circle(X7,X2,X4,X5)
        & circle(X6,X0,X1,X5)
        & coll(X5,X1,X4)
        & coll(X5,X0,X2)
        & circle(X3,X0,X4,X9)
        & circle(X3,X0,X1,X2) )
   => ( ~ perp(sK25,sK28,sK28,sK23)
      & circle(sK27,sK22,sK28,sK31)
      & circle(sK26,sK20,sK28,sK30)
      & circle(sK27,sK22,sK24,sK25)
      & circle(sK26,sK20,sK21,sK25)
      & coll(sK25,sK21,sK24)
      & coll(sK25,sK20,sK22)
      & circle(sK23,sK20,sK24,sK29)
      & circle(sK23,sK20,sK21,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f359,plain,
    ( ~ perp(sK25,sK28,sK28,sK23)
    & circle(sK27,sK22,sK28,sK31)
    & circle(sK26,sK20,sK28,sK30)
    & circle(sK27,sK22,sK24,sK25)
    & circle(sK26,sK20,sK21,sK25)
    & coll(sK25,sK21,sK24)
    & coll(sK25,sK20,sK22)
    & circle(sK23,sK20,sK24,sK29)
    & circle(sK23,sK20,sK21,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31])],[f320,f358]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f364,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f366,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f369,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f383,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f384,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f218]) ).

fof(f399,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f219]) ).

fof(f400,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f220]) ).

fof(f402,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f224]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1,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(cnf_transformation,[],[f226]) ).

fof(f404,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X3,X4,X1,X2)
      | ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f228]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(cnf_transformation,[],[f230]) ).

fof(f409,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(X3,X0,X0,X4)
      | ~ eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f237]) ).

fof(f410,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ midp(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f239]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f243]) ).

fof(f413,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X1,X2)
      | ~ coll(X3,X0,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f415,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X3,X0,X3,X1)
      | ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1) ),
    inference(cnf_transformation,[],[f249]) ).

fof(f416,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f251]) ).

fof(f423,plain,
    ! [X2,X3,X0,X1,X4] :
      ( para(X0,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f424,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X2,X3)
      | ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f426,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f267]) ).

fof(f427,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f269]) ).

fof(f428,plain,
    ! [X2,X0,X1] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f270]) ).

fof(f429,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f271]) ).

fof(f434,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f281]) ).

fof(f459,plain,
    ! [X2,X3,X0,X1] :
      ( perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f343]) ).

fof(f467,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f473,plain,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f474,plain,
    circle(sK23,sK20,sK24,sK29),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    coll(sK25,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    coll(sK25,sK21,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    circle(sK26,sK20,sK21,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    circle(sK26,sK20,sK28,sK30),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    ~ perp(sK25,sK28,sK28,sK23),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_49,plain,
    ( ~ coll(X0,X1,X2)
    | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f360]) ).

cnf(c_50,plain,
    ( ~ coll(X0,X1,X2)
    | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f361]) ).

cnf(c_51,plain,
    ( ~ coll(X0,X1,X2)
    | ~ coll(X0,X1,X3)
    | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f362]) ).

cnf(c_53,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_55,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f366]) ).

cnf(c_56,plain,
    ( ~ perp(X0,X1,X2,X3)
    | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_57,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_58,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_59,plain,
    ( ~ midp(X0,X1,X2)
    | midp(X0,X2,X1) ),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_60,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | circle(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_63,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_67,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f378]) ).

cnf(c_71,plain,
    ( ~ cong(X0,X1,X2,X3)
    | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_72,plain,
    ( ~ cong(X0,X1,X2,X3)
    | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_73,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,X5)
    | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_87,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f398]) ).

cnf(c_88,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f399]) ).

cnf(c_89,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f400]) ).

cnf(c_91,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ coll(X0,X3,X2)
    | cyclic(X1,X2,X0,X3) ),
    inference(cnf_transformation,[],[f402]) ).

cnf(c_92,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5)
    | ~ cyclic(X1,X2,X0,X3)
    | ~ cyclic(X1,X2,X0,X4)
    | ~ cyclic(X1,X2,X0,X5)
    | cong(X1,X2,X4,X5) ),
    inference(cnf_transformation,[],[f403]) ).

cnf(c_93,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X3,X1,X4)
    | para(X0,X3,X2,X4) ),
    inference(cnf_transformation,[],[f404]) ).

cnf(c_94,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ coll(X1,X4,X3)
    | ~ midp(X0,X4,X2)
    | midp(X1,X4,X3) ),
    inference(cnf_transformation,[],[f405]) ).

cnf(c_98,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X0,X3,X2)
    | ~ circle(X4,X0,X2,X3)
    | perp(X4,X0,X0,X1) ),
    inference(cnf_transformation,[],[f409]) ).

cnf(c_99,plain,
    ( ~ circle(X0,X1,X2,X3)
    | ~ midp(X4,X2,X3)
    | eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
    inference(cnf_transformation,[],[f410]) ).

cnf(c_101,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ midp(X3,X0,X2)
    | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f412]) ).

cnf(c_102,plain,
    ( ~ circle(X0,X1,X2,X3)
    | ~ coll(X0,X1,X3)
    | perp(X1,X2,X2,X3) ),
    inference(cnf_transformation,[],[f413]) ).

cnf(c_104,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ midp(X1,X2,X3)
    | cong(X0,X2,X0,X3) ),
    inference(cnf_transformation,[],[f415]) ).

cnf(c_105,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cong(X0,X3,X2,X3)
    | perp(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f416]) ).

cnf(c_112,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X0,X3,X4)
    | para(X1,X3,X2,X4) ),
    inference(cnf_transformation,[],[f423]) ).

cnf(c_113,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X0,X3,X2,X1)
    | ~ midp(X4,X0,X2)
    | midp(X4,X1,X3) ),
    inference(cnf_transformation,[],[f424]) ).

cnf(c_115,plain,
    ( ~ para(X0,X1,X0,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f426]) ).

cnf(c_116,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ coll(X0,X1,X2)
    | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f427]) ).

cnf(c_117,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f428]) ).

cnf(c_118,plain,
    ( ~ midp(X0,X1,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f429]) ).

cnf(c_123,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ perp(X4,X5,X6,X7)
    | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f434]) ).

cnf(c_148,plain,
    ( ~ circle(X0,X1,X2,X3)
    | perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
    inference(cnf_transformation,[],[f459]) ).

cnf(c_155,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ coll(X2,X3,X4)
    | perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
    inference(cnf_transformation,[],[f467]) ).

cnf(c_162,negated_conjecture,
    ~ perp(sK25,sK28,sK28,sK23),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_164,negated_conjecture,
    circle(sK26,sK20,sK28,sK30),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_166,negated_conjecture,
    circle(sK26,sK20,sK21,sK25),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_167,negated_conjecture,
    coll(sK25,sK21,sK24),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_168,negated_conjecture,
    coll(sK25,sK20,sK22),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_169,negated_conjecture,
    circle(sK23,sK20,sK24,sK29),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_170,negated_conjecture,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_176,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | midp(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_180,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_185,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_201,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_234,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20)
    | ~ cyclic(sK20,sK20,sK20,sK20)
    | cong(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_273,plain,
    ( ~ coll(sK25,sK20,sK22)
    | coll(sK25,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_285,plain,
    ( ~ circle(sK26,sK20,sK28,sK30)
    | perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_288,plain,
    ( ~ circle(sK23,sK20,sK24,sK29)
    | perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_314,plain,
    ( ~ coll(sK25,sK22,sK20)
    | coll(sK22,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_317,plain,
    ( ~ coll(sK25,sK22,X0)
    | ~ coll(sK25,sK22,sK20)
    | coll(X0,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_318,plain,
    ( ~ coll(sK25,sK22,sK20)
    | coll(sK20,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_317]) ).

cnf(c_365,plain,
    ( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
    | perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_371,plain,
    ( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
    | ~ coll(sK26,X0,X1)
    | perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_374,plain,
    ( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK20,sK26)
    | ~ coll(sK26,sK20,sK20)
    | perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_371]) ).

cnf(c_462,plain,
    coll(sK25,sK24,sK21),
    inference(resolution,[status(thm)],[c_49,c_167]) ).

cnf(c_463,plain,
    coll(sK25,sK22,sK20),
    inference(resolution,[status(thm)],[c_49,c_168]) ).

cnf(c_465,plain,
    ( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK20,sK23)
    | perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_502,plain,
    coll(sK24,sK25,sK21),
    inference(resolution,[status(thm)],[c_50,c_462]) ).

cnf(c_503,plain,
    coll(sK22,sK25,sK20),
    inference(resolution,[status(thm)],[c_50,c_463]) ).

cnf(c_704,plain,
    ( ~ coll(sK22,sK25,X0)
    | ~ coll(sK22,sK25,sK20)
    | coll(X0,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_705,plain,
    ( ~ coll(sK22,sK25,sK20)
    | coll(sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_704]) ).

cnf(c_727,plain,
    ( ~ coll(sK25,sK21,X0)
    | coll(X0,sK24,sK25) ),
    inference(resolution,[status(thm)],[c_51,c_167]) ).

cnf(c_729,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(X0,sK22,sK25) ),
    inference(resolution,[status(thm)],[c_51,c_168]) ).

cnf(c_730,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(X0,sK21,sK25) ),
    inference(resolution,[status(thm)],[c_51,c_462]) ).

cnf(c_732,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(X0,sK20,sK25) ),
    inference(resolution,[status(thm)],[c_51,c_463]) ).

cnf(c_739,plain,
    ( ~ coll(sK24,sK25,X0)
    | coll(X0,sK21,sK24) ),
    inference(resolution,[status(thm)],[c_51,c_502]) ).

cnf(c_741,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(X0,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_51,c_503]) ).

cnf(c_794,plain,
    coll(sK24,sK24,sK25),
    inference(resolution,[status(thm)],[c_727,c_167]) ).

cnf(c_799,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(X0,sK25,sK24) ),
    inference(resolution,[status(thm)],[c_794,c_51]) ).

cnf(c_805,plain,
    coll(sK22,sK22,sK25),
    inference(resolution,[status(thm)],[c_729,c_168]) ).

cnf(c_810,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(X0,sK25,sK22) ),
    inference(resolution,[status(thm)],[c_805,c_51]) ).

cnf(c_839,plain,
    ( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
    | perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_842,plain,
    ( ~ perp(X0,X1,sK11(sK20,sK28,sK30,sK26),sK20)
    | ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
    | para(X0,X1,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_922,plain,
    coll(sK20,sK20,sK25),
    inference(resolution,[status(thm)],[c_732,c_463]) ).

cnf(c_925,plain,
    coll(sK20,sK25,sK20),
    inference(resolution,[status(thm)],[c_922,c_49]) ).

cnf(c_970,plain,
    coll(sK25,sK25,sK24),
    inference(resolution,[status(thm)],[c_799,c_794]) ).

cnf(c_990,plain,
    coll(sK25,sK24,sK25),
    inference(resolution,[status(thm)],[c_970,c_49]) ).

cnf(c_992,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(X0,sK24,sK25) ),
    inference(resolution,[status(thm)],[c_970,c_51]) ).

cnf(c_998,plain,
    coll(sK25,sK25,sK22),
    inference(resolution,[status(thm)],[c_810,c_805]) ).

cnf(c_1003,plain,
    coll(sK25,sK22,sK25),
    inference(resolution,[status(thm)],[c_998,c_49]) ).

cnf(c_1005,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(X0,sK22,sK25) ),
    inference(resolution,[status(thm)],[c_998,c_51]) ).

cnf(c_1036,plain,
    ( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
    | perp(sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_1039,plain,
    ( ~ perp(X0,X1,sK11(sK20,sK24,sK29,sK23),sK20)
    | ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
    | para(X0,X1,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1099,plain,
    ( ~ coll(X0,sK20,X1)
    | ~ coll(X0,sK20,sK25)
    | coll(X1,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1151,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(X0,sK20,sK20) ),
    inference(resolution,[status(thm)],[c_925,c_51]) ).

cnf(c_1152,plain,
    ( ~ coll(sK20,sK25,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_1151]) ).

cnf(c_1184,plain,
    coll(sK25,sK21,sK25),
    inference(resolution,[status(thm)],[c_990,c_730]) ).

cnf(c_1204,plain,
    coll(sK25,sK20,sK25),
    inference(resolution,[status(thm)],[c_1003,c_732]) ).

cnf(c_1214,plain,
    ( ~ coll(X0,X1,X2)
    | ~ coll(X0,X1,sK22)
    | coll(X2,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1233,plain,
    coll(sK25,sK25,sK21),
    inference(resolution,[status(thm)],[c_1184,c_49]) ).

cnf(c_1239,plain,
    ( ~ coll(X0,sK22,sK20)
    | coll(X0,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1247,plain,
    coll(sK25,sK25,sK20),
    inference(resolution,[status(thm)],[c_1204,c_49]) ).

cnf(c_1568,plain,
    ( ~ coll(sK25,X0,sK24)
    | coll(sK25,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1569,plain,
    ( ~ coll(sK25,sK20,sK24)
    | coll(sK25,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_1568]) ).

cnf(c_1570,plain,
    ( ~ coll(sK21,X0,sK25)
    | coll(sK21,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1571,plain,
    ( ~ coll(sK21,sK20,sK25)
    | coll(sK21,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_1570]) ).

cnf(c_1573,plain,
    ( ~ coll(sK26,X0,X1)
    | coll(sK26,X1,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1578,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK25,sK21,X0) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_1579,plain,
    ( ~ coll(sK21,sK25,sK20)
    | coll(sK25,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_1578]) ).

cnf(c_1674,plain,
    coll(sK21,sK22,sK25),
    inference(resolution,[status(thm)],[c_1233,c_1005]) ).

cnf(c_1701,plain,
    coll(sK20,sK24,sK25),
    inference(resolution,[status(thm)],[c_1247,c_992]) ).

cnf(c_1750,plain,
    coll(sK25,sK24,sK21),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_1808,plain,
    coll(sK22,sK21,sK25),
    inference(resolution,[status(thm)],[c_1674,c_50]) ).

cnf(c_1824,plain,
    coll(sK20,sK25,sK24),
    inference(resolution,[status(thm)],[c_1701,c_49]) ).

cnf(c_1825,plain,
    coll(sK24,sK20,sK25),
    inference(resolution,[status(thm)],[c_1701,c_50]) ).

cnf(c_1951,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_1750,c_51]) ).

cnf(c_1983,plain,
    ( ~ coll(sK25,sK24,sK20)
    | coll(sK21,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_1951]) ).

cnf(c_2393,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_1750,c_1951]) ).

cnf(c_2404,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_2393,c_49]) ).

cnf(c_2435,plain,
    ( ~ coll(sK26,sK20,sK25)
    | perp(sK20,sK21,sK21,sK25) ),
    inference(resolution,[status(thm)],[c_102,c_166]) ).

cnf(c_2437,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_102,c_170]) ).

cnf(c_2451,plain,
    ( ~ coll(sK25,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2452,plain,
    ( ~ coll(sK25,sK21,sK20)
    | coll(sK25,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_2451]) ).

cnf(c_2460,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_2404,c_51]) ).

cnf(c_2463,plain,
    ( ~ coll(sK21,sK25,sK20)
    | coll(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_2460]) ).

cnf(c_3054,plain,
    coll(sK22,sK25,sK21),
    inference(resolution,[status(thm)],[c_1808,c_49]) ).

cnf(c_3076,plain,
    coll(sK25,sK20,sK24),
    inference(resolution,[status(thm)],[c_1824,c_50]) ).

cnf(c_3077,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(X0,sK24,sK20) ),
    inference(resolution,[status(thm)],[c_1824,c_51]) ).

cnf(c_3078,plain,
    ( ~ coll(sK20,sK25,sK20)
    | coll(sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_3077]) ).

cnf(c_3083,plain,
    coll(sK24,sK25,sK20),
    inference(resolution,[status(thm)],[c_1825,c_49]) ).

cnf(c_3487,plain,
    ( ~ para(sK26,X0,sK26,X1)
    | coll(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_3488,plain,
    ( ~ para(sK26,sK20,sK26,sK20)
    | coll(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_3487]) ).

cnf(c_3489,plain,
    ( ~ para(sK23,X0,sK23,X1)
    | coll(sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_3490,plain,
    ( ~ para(sK23,sK20,sK23,sK20)
    | coll(sK23,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_3489]) ).

cnf(c_4089,plain,
    coll(sK21,sK20,sK22),
    inference(resolution,[status(thm)],[c_3054,c_741]) ).

cnf(c_4124,plain,
    coll(sK21,sK22,sK20),
    inference(resolution,[status(thm)],[c_4089,c_49]) ).

cnf(c_4161,plain,
    ( ~ coll(sK21,sK22,X0)
    | coll(X0,sK20,sK21) ),
    inference(resolution,[status(thm)],[c_4124,c_51]) ).

cnf(c_4162,plain,
    ( ~ coll(sK21,sK22,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_4161]) ).

cnf(c_4350,plain,
    ( ~ coll(sK23,sK22,sK20)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_1239]) ).

cnf(c_4375,plain,
    coll(sK20,sK21,sK24),
    inference(resolution,[status(thm)],[c_3083,c_739]) ).

cnf(c_4411,plain,
    coll(sK20,sK24,sK21),
    inference(resolution,[status(thm)],[c_4375,c_49]) ).

cnf(c_4442,plain,
    ( ~ coll(sK20,sK24,X0)
    | coll(X0,sK21,sK20) ),
    inference(resolution,[status(thm)],[c_4411,c_51]) ).

cnf(c_4443,plain,
    ( ~ coll(sK20,sK24,sK20)
    | coll(sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_4442]) ).

cnf(c_4488,plain,
    ( ~ perp(sK11(sK20,sK28,sK30,sK26),sK20,sK26,sK20)
    | ~ perp(sK26,sK20,sK11(sK20,sK28,sK30,sK26),sK20)
    | para(sK26,sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_842]) ).

cnf(c_4665,plain,
    ( ~ perp(sK11(sK20,sK24,sK29,sK23),sK20,sK23,sK20)
    | ~ perp(sK23,sK20,sK11(sK20,sK24,sK29,sK23),sK20)
    | para(sK23,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_1039]) ).

cnf(c_4875,plain,
    ( ~ para(sK25,sK28,X0,X1)
    | ~ perp(X0,X1,sK28,sK23)
    | perp(sK25,sK28,sK28,sK23) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_4876,plain,
    ( ~ para(sK25,sK28,sK20,sK20)
    | ~ perp(sK20,sK20,sK28,sK23)
    | perp(sK25,sK28,sK28,sK23) ),
    inference(instantiation,[status(thm)],[c_4875]) ).

cnf(c_5281,plain,
    ( ~ coll(sK26,sK25,sK20)
    | coll(sK26,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_1573]) ).

cnf(c_5374,plain,
    ( ~ coll(sK26,X0,X1)
    | coll(X0,sK26,X1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_5375,plain,
    ( ~ coll(sK26,sK20,sK20)
    | coll(sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_5374]) ).

cnf(c_5547,plain,
    ( ~ coll(sK23,X0,X1)
    | coll(X0,sK23,X1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_5548,plain,
    ( ~ coll(sK23,sK20,sK20)
    | coll(sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_5547]) ).

cnf(c_5887,plain,
    ( ~ coll(X0,sK20,sK25)
    | ~ coll(X0,sK20,sK26)
    | coll(sK26,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_1099]) ).

cnf(c_5893,plain,
    ( ~ coll(sK20,sK20,sK25)
    | ~ coll(sK20,sK20,sK26)
    | coll(sK26,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_5887]) ).

cnf(c_6110,plain,
    ( ~ coll(X0,X1,sK23)
    | ~ coll(X0,X1,sK22)
    | coll(sK23,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_1214]) ).

cnf(c_6116,plain,
    ( ~ coll(sK20,sK20,sK23)
    | ~ coll(sK20,sK20,sK22)
    | coll(sK23,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6110]) ).

cnf(c_10105,plain,
    ( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1)
    | perp(X0,X1,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_10107,plain,
    ( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20)
    | perp(sK20,sK20,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26)) ),
    inference(instantiation,[status(thm)],[c_10105]) ).

cnf(c_10108,plain,
    ( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26),X0,X1)
    | ~ perp(X2,X3,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,X0,X1),sK11(sK20,sK28,sK30,sK26))
    | para(X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_10109,plain,
    ( ~ perp(sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26),sK20,sK20)
    | ~ perp(sK20,sK20,sK16(sK11(sK20,sK28,sK30,sK26),sK26,sK20,sK20,sK20),sK11(sK20,sK28,sK30,sK26))
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_10108]) ).

cnf(c_11512,plain,
    ( ~ coll(X0,sK26,sK20)
    | coll(X0,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_11513,plain,
    ( ~ coll(sK20,sK26,sK20)
    | coll(sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_11512]) ).

cnf(c_11732,plain,
    ( ~ coll(X0,sK23,sK20)
    | coll(X0,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_11733,plain,
    ( ~ coll(sK20,sK23,sK20)
    | coll(sK20,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_11732]) ).

cnf(c_14317,plain,
    perp(sK20,sK21,sK21,sK25),
    inference(global_subsumption_just,[status(thm)],[c_2435,c_168,c_164,c_273,c_285,c_318,c_365,c_839,c_2435,c_3488,c_4488,c_5281,c_5375,c_5893,c_11513]) ).

cnf(c_14333,plain,
    perp(sK20,sK21,sK25,sK21),
    inference(resolution,[status(thm)],[c_14317,c_55]) ).

cnf(c_14334,plain,
    perp(sK21,sK25,sK20,sK21),
    inference(resolution,[status(thm)],[c_14317,c_56]) ).

cnf(c_14335,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | para(X0,X1,sK21,sK25) ),
    inference(resolution,[status(thm)],[c_14317,c_57]) ).

cnf(c_14524,plain,
    perp(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_2437,c_168,c_169,c_273,c_288,c_314,c_465,c_705,c_1036,c_2437,c_3490,c_4350,c_4665,c_5548,c_6116,c_11733]) ).

cnf(c_14535,plain,
    perp(sK20,sK21,sK22,sK21),
    inference(resolution,[status(thm)],[c_14524,c_55]) ).

cnf(c_15633,plain,
    perp(sK25,sK21,sK20,sK21),
    inference(resolution,[status(thm)],[c_14333,c_56]) ).

cnf(c_15663,plain,
    perp(sK22,sK21,sK20,sK21),
    inference(resolution,[status(thm)],[c_14535,c_56]) ).

cnf(c_16826,plain,
    para(sK21,sK25,sK21,sK25),
    inference(resolution,[status(thm)],[c_14335,c_14334]) ).

cnf(c_17630,plain,
    ( ~ para(X0,X1,sK20,sK28)
    | para(sK20,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_17631,plain,
    ( ~ para(sK20,sK20,sK20,sK28)
    | para(sK20,sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_17630]) ).

cnf(c_17764,plain,
    ( ~ midp(X0,X1,X0)
    | ~ midp(X2,X1,sK21)
    | para(X0,X2,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_17765,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK20,sK20,sK21)
    | para(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_17764]) ).

cnf(c_18846,plain,
    ( ~ coll(sK26,sK20,sK25)
    | perp(sK20,sK21,sK21,sK25) ),
    inference(superposition,[status(thm)],[c_166,c_102]) ).

cnf(c_18848,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_170,c_102]) ).

cnf(c_18849,plain,
    perp(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_18848,c_168,c_169,c_273,c_288,c_314,c_465,c_705,c_1036,c_2437,c_3490,c_4350,c_4665,c_5548,c_6116,c_11733]) ).

cnf(c_18853,plain,
    perp(sK20,sK21,sK21,sK25),
    inference(global_subsumption_just,[status(thm)],[c_18846,c_168,c_164,c_273,c_285,c_318,c_365,c_839,c_2435,c_3488,c_4488,c_5281,c_5375,c_5893,c_11513]) ).

cnf(c_19426,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_18849,c_57]) ).

cnf(c_19427,plain,
    perp(sK21,sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_18849,c_56]) ).

cnf(c_19443,plain,
    perp(sK21,sK25,sK20,sK21),
    inference(superposition,[status(thm)],[c_18853,c_56]) ).

cnf(c_19628,plain,
    ( ~ cong(X0,sK28,X1,sK28)
    | ~ cong(X0,sK23,X1,sK23)
    | perp(X0,X1,sK28,sK23) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_19629,plain,
    ( ~ cong(sK20,sK28,sK20,sK28)
    | ~ cong(sK20,sK23,sK20,sK23)
    | perp(sK20,sK20,sK28,sK23) ),
    inference(instantiation,[status(thm)],[c_19628]) ).

cnf(c_20795,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK21,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_19443,c_57]) ).

cnf(c_22611,plain,
    ( ~ eqangle(sK20,X0,sK20,X1,X2,sK20,X2,X1)
    | ~ circle(sK23,sK20,X1,X2)
    | perp(sK23,sK20,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_98]) ).

cnf(c_25162,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ midp(sK23,X0,X2)
    | cong(X0,sK23,X1,sK23) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_25163,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ midp(sK23,sK20,sK20)
    | cong(sK20,sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_25162]) ).

cnf(c_25181,plain,
    ( ~ eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21)
    | ~ circle(sK23,sK20,sK21,sK22)
    | perp(sK23,sK20,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_22611]) ).

cnf(c_25182,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21)
    | ~ circle(sK23,sK20,sK21,sK22)
    | perp(sK23,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_25181]) ).

cnf(c_28741,plain,
    ( ~ para(X0,sK28,X1,X2)
    | ~ midp(X0,X3,X1)
    | ~ coll(sK28,X3,X2)
    | midp(sK28,X3,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_28742,plain,
    ( ~ para(sK20,sK28,sK20,sK20)
    | ~ coll(sK28,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_28741]) ).

cnf(c_28748,plain,
    ( ~ cong(sK23,X0,sK23,X1)
    | ~ coll(sK23,X0,X1)
    | midp(sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_28749,plain,
    ( ~ cong(sK23,sK20,sK23,sK20)
    | ~ coll(sK23,sK20,sK20)
    | midp(sK23,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_28748]) ).

cnf(c_28822,plain,
    ( ~ para(X0,X1,X2,sK28)
    | ~ para(X0,sK28,X2,X1)
    | ~ midp(X3,X0,X2)
    | midp(X3,sK28,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_28823,plain,
    ( ~ para(sK20,sK28,sK20,sK20)
    | ~ para(sK20,sK20,sK20,sK28)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK28,sK20) ),
    inference(instantiation,[status(thm)],[c_28822]) ).

cnf(c_30628,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_19427,c_19426]) ).

cnf(c_30682,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_30628,c_113]) ).

cnf(c_30686,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_30682]) ).

cnf(c_31297,plain,
    ( ~ perp(sK23,X0,sK20,X1)
    | ~ midp(X0,sK20,X1)
    | cong(sK23,sK20,sK23,X1) ),
    inference(instantiation,[status(thm)],[c_104]) ).

cnf(c_31298,plain,
    ( ~ perp(sK23,sK20,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | cong(sK23,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_31297]) ).

cnf(c_33683,plain,
    ( ~ circle(sK22,sK20,sK20,sK21)
    | ~ midp(sK21,sK20,sK21)
    | eqangle(sK20,sK20,sK20,sK21,sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_38496,plain,
    ( ~ cong(sK22,sK20,sK22,sK20)
    | ~ cong(sK22,sK20,sK22,sK21)
    | circle(sK22,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_39754,plain,
    ( ~ cyclic(X0,sK21,sK20,sK20)
    | cyclic(X0,sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_39755,plain,
    ( ~ cyclic(sK20,sK21,sK20,sK20)
    | cyclic(sK20,sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_39754]) ).

cnf(c_39774,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK21,X0,sK20,X0,sK21)
    | ~ coll(sK20,X0,sK21)
    | cyclic(sK20,sK21,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_39776,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21)
    | ~ coll(sK20,sK20,sK21)
    | cyclic(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_39774]) ).

cnf(c_40284,plain,
    para(sK21,sK25,sK21,sK25),
    inference(superposition,[status(thm)],[c_18853,c_20795]) ).

cnf(c_40291,plain,
    ( ~ para(sK21,sK25,sK21,sK25)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK25,sK25) ),
    inference(superposition,[status(thm)],[c_40284,c_113]) ).

cnf(c_40295,plain,
    ( ~ para(sK21,sK25,sK21,sK25)
    | ~ midp(sK20,sK21,sK21)
    | midp(sK20,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_40291]) ).

cnf(c_44111,plain,
    ( ~ cong(X0,sK20,sK21,X0)
    | cong(X0,sK20,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_44112,plain,
    ( ~ cong(sK20,sK20,sK21,sK20)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_44111]) ).

cnf(c_46072,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK20,sK28)
    | para(X0,X1,sK20,sK28) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_46073,plain,
    ( ~ perp(sK20,sK20,sK20,sK28)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK20,sK28) ),
    inference(instantiation,[status(thm)],[c_46072]) ).

cnf(c_46128,plain,
    ( ~ cong(X0,sK28,X1,sK28)
    | ~ cong(X0,sK20,X1,sK20)
    | perp(X0,X1,sK20,sK28) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_46129,plain,
    ( ~ cong(sK20,sK28,sK20,sK28)
    | ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK28) ),
    inference(instantiation,[status(thm)],[c_46128]) ).

cnf(c_51717,plain,
    ( ~ midp(X0,sK28,sK28)
    | cong(X0,sK28,X0,sK28) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_51720,plain,
    ( ~ midp(sK20,sK28,sK28)
    | cong(sK20,sK28,sK20,sK28) ),
    inference(instantiation,[status(thm)],[c_51717]) ).

cnf(c_52047,plain,
    ( ~ eqangle(sK25,sK28,X0,X1,X2,X3,X0,X1)
    | para(sK25,sK28,X2,X3) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_52050,plain,
    ( ~ midp(sK25,X0,X1)
    | ~ midp(sK28,X0,X2)
    | para(sK25,sK28,X1,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_52467,plain,
    ( ~ cong(sK28,X0,sK28,X1)
    | ~ coll(sK28,X0,X1)
    | midp(sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_52471,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X0,X3,X2,X1)
    | ~ midp(sK28,X0,X2)
    | midp(sK28,X1,X3) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_52477,plain,
    ( ~ para(X0,X1,X2,sK28)
    | ~ para(X0,sK28,X2,X1)
    | ~ midp(X3,X0,X2)
    | midp(X3,sK28,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_52550,plain,
    ( ~ eqangle(X0,X1,sK25,sK28,X0,X1,X2,X3)
    | eqangle(sK25,sK28,X0,X1,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_55350,plain,
    ( ~ cong(sK28,X0,sK28,X1)
    | cong(sK28,X1,sK28,X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_55725,plain,
    ( ~ midp(X0,sK20,sK21)
    | cong(X0,sK20,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_55731,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | ~ midp(X1,sK20,sK21)
    | cong(X0,sK20,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_104]) ).

cnf(c_57376,plain,
    ( ~ eqangle(X0,X1,sK25,sK28,X0,X1,sK25,sK28)
    | eqangle(sK25,sK28,X0,X1,sK25,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_52550]) ).

cnf(c_57377,plain,
    ( ~ para(X0,X1,X0,X1)
    | eqangle(X0,X1,sK25,sK28,X0,X1,sK25,sK28) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_57378,plain,
    ( ~ eqangle(sK20,sK20,sK25,sK28,sK20,sK20,sK25,sK28)
    | eqangle(sK25,sK28,sK20,sK20,sK25,sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_57376]) ).

cnf(c_57379,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK25,sK28,sK20,sK20,sK25,sK28) ),
    inference(instantiation,[status(thm)],[c_57377]) ).

cnf(c_57441,plain,
    ( ~ cong(X0,sK20,X0,sK21)
    | ~ coll(X0,sK20,sK21)
    | midp(X0,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_57442,plain,
    ( ~ cong(sK20,sK20,sK20,sK21)
    | ~ coll(sK20,sK20,sK21)
    | midp(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_57441]) ).

cnf(c_57445,plain,
    ( ~ para(X0,X1,X2,sK21)
    | ~ midp(X0,sK20,X2)
    | ~ coll(X1,sK20,sK21)
    | midp(X1,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_57520,plain,
    ( ~ perp(sK20,sK21,sK21,X0)
    | ~ midp(sK20,sK20,X0)
    | cong(sK20,sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_57521,plain,
    ( ~ perp(sK20,sK21,sK21,sK20)
    | ~ midp(sK20,sK20,sK20)
    | cong(sK20,sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_57520]) ).

cnf(c_57531,plain,
    ( ~ cong(X0,sK20,X0,sK21)
    | cong(X0,sK21,X0,sK20) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_57532,plain,
    ( ~ cong(sK20,sK20,sK20,sK21)
    | cong(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_57531]) ).

cnf(c_64287,plain,
    ( ~ cong(X0,sK21,X0,sK20)
    | ~ coll(X0,sK21,sK20)
    | midp(X0,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_64288,plain,
    ( ~ cong(sK20,sK21,sK20,sK20)
    | ~ coll(sK20,sK21,sK20)
    | midp(sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_64287]) ).

cnf(c_64289,plain,
    ( ~ midp(X0,sK20,sK21)
    | midp(X0,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_64324,plain,
    ( ~ perp(sK21,X0,sK20,sK21)
    | perp(sK20,sK21,sK21,X0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_64325,plain,
    ( ~ perp(sK21,sK20,sK20,sK21)
    | perp(sK20,sK21,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_64324]) ).

cnf(c_65499,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X0,sK21,sK20)
    | para(X1,sK21,X2,sK20) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_65500,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK20,sK21,sK20)
    | para(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_65499]) ).

cnf(c_65528,plain,
    ( ~ eqangle(sK21,sK20,sK21,X0,X1,X2,X3,X4)
    | ~ perp(X1,X2,X3,X4)
    | perp(sK21,sK20,sK21,X0) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_65529,plain,
    ( ~ eqangle(sK21,sK20,sK21,sK20,sK20,sK20,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | perp(sK21,sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_65528]) ).

cnf(c_70940,plain,
    ( ~ perp(sK21,X0,sK21,sK20)
    | perp(sK21,X0,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_70941,plain,
    ( ~ perp(sK21,sK20,sK21,sK20)
    | perp(sK21,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_70940]) ).

cnf(c_74399,plain,
    ( ~ cyclic(X0,sK20,sK21,X1)
    | eqangle(sK21,X0,sK21,sK20,X1,X0,X1,sK20) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_74400,plain,
    ( ~ cyclic(sK20,sK20,sK21,sK20)
    | eqangle(sK21,sK20,sK21,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_74399]) ).

cnf(c_74761,plain,
    ( ~ para(sK20,X0,sK20,X0)
    | eqangle(sK20,X0,sK20,sK21,sK20,X0,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_74762,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK21,sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_74761]) ).

cnf(c_76069,plain,
    ( ~ cong(X0,X1,sK22,X2)
    | ~ cong(sK22,X3,X0,X1)
    | cong(sK22,X3,sK22,X2) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_80902,plain,
    ( ~ eqangle(sK25,sK28,X0,X1,sK25,sK28,X0,X1)
    | para(sK25,sK28,sK25,sK28) ),
    inference(instantiation,[status(thm)],[c_52047]) ).

cnf(c_80903,plain,
    ( ~ eqangle(sK25,sK28,sK20,sK20,sK25,sK28,sK20,sK20)
    | para(sK25,sK28,sK25,sK28) ),
    inference(instantiation,[status(thm)],[c_80902]) ).

cnf(c_81590,plain,
    ( ~ cong(sK28,sK20,sK28,sK21)
    | cong(sK28,sK21,sK28,sK20) ),
    inference(instantiation,[status(thm)],[c_55350]) ).

cnf(c_81987,plain,
    ( ~ cong(sK25,sK20,sK25,sK21)
    | ~ coll(sK25,sK20,sK21)
    | midp(sK25,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_57441]) ).

cnf(c_82022,plain,
    ( ~ midp(sK28,sK20,sK21)
    | cong(sK28,sK20,sK28,sK21) ),
    inference(instantiation,[status(thm)],[c_55725]) ).

cnf(c_82269,plain,
    ( ~ cong(sK22,sK20,sK22,sK21)
    | cong(sK22,sK21,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_57531]) ).

cnf(c_82353,plain,
    ( ~ cong(sK28,sK21,sK28,sK20)
    | ~ coll(sK28,sK21,sK20)
    | midp(sK28,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_52467]) ).

cnf(c_83316,plain,
    ( ~ midp(sK28,sK20,sK21)
    | coll(sK28,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_84115,plain,
    ( ~ para(sK25,sK28,sK25,sK28)
    | ~ midp(X0,sK25,sK25)
    | midp(X0,sK28,sK28) ),
    inference(instantiation,[status(thm)],[c_52477]) ).

cnf(c_84116,plain,
    ( ~ para(sK25,sK28,sK25,sK28)
    | ~ midp(sK20,sK25,sK25)
    | midp(sK20,sK28,sK28) ),
    inference(instantiation,[status(thm)],[c_84115]) ).

cnf(c_85002,plain,
    ( ~ coll(sK28,X0,X1)
    | coll(sK28,X1,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_85006,plain,
    ( ~ coll(X0,sK28,X1)
    | coll(sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_85007,plain,
    ( ~ coll(sK20,sK28,sK20)
    | coll(sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_85006]) ).

cnf(c_85223,plain,
    ( ~ perp(sK25,X0,sK20,sK21)
    | ~ midp(X0,sK20,sK21)
    | cong(sK25,sK20,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_55731]) ).

cnf(c_85224,plain,
    ( ~ perp(sK22,X0,sK20,sK21)
    | ~ midp(X0,sK20,sK21)
    | cong(sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_55731]) ).

cnf(c_85460,plain,
    ( ~ midp(X0,sK28,X1)
    | coll(X0,sK28,X1) ),
    inference(instantiation,[status(thm)],[c_118]) ).

cnf(c_85461,plain,
    ( ~ midp(sK20,sK28,sK20)
    | coll(sK20,sK28,sK20) ),
    inference(instantiation,[status(thm)],[c_85460]) ).

cnf(c_86752,plain,
    ( ~ cong(sK22,X0,sK22,sK21)
    | ~ cong(sK22,sK21,sK22,sK20)
    | cong(sK22,X0,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_76069]) ).

cnf(c_86757,plain,
    ( ~ cong(sK22,sK20,sK22,sK21)
    | ~ cong(sK22,sK21,sK22,sK20)
    | cong(sK22,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_86752]) ).

cnf(c_87814,plain,
    ( ~ para(X0,sK20,X1,sK21)
    | ~ para(X0,sK21,X1,sK20)
    | ~ midp(sK28,X0,X1)
    | midp(sK28,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_52471]) ).

cnf(c_87815,plain,
    ( ~ para(sK20,sK20,sK20,sK21)
    | ~ para(sK20,sK21,sK20,sK20)
    | ~ midp(sK28,sK20,sK20)
    | midp(sK28,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_87814]) ).

cnf(c_99879,plain,
    ( ~ coll(sK28,sK20,sK21)
    | coll(sK28,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_85002]) ).

cnf(c_105163,plain,
    ( ~ midp(sK25,sK20,sK21)
    | midp(sK25,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_64289]) ).

cnf(c_105164,plain,
    ( ~ midp(sK28,sK21,X0)
    | ~ midp(sK25,sK21,sK20)
    | para(sK25,sK28,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_52050]) ).

cnf(c_105165,plain,
    ( ~ midp(sK25,sK21,sK20)
    | ~ midp(sK28,sK21,sK20)
    | para(sK25,sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105164]) ).

cnf(c_112218,plain,
    ( ~ perp(sK22,sK21,sK20,sK21)
    | ~ midp(sK21,sK20,sK21)
    | cong(sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_85224]) ).

cnf(c_112222,plain,
    ( ~ perp(sK25,sK21,sK20,sK21)
    | ~ midp(sK21,sK20,sK21)
    | cong(sK25,sK20,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_85223]) ).

cnf(c_117031,plain,
    ( ~ para(X0,sK21,X1,sK21)
    | ~ midp(X0,sK20,X1)
    | ~ coll(sK21,sK20,sK21)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_57445]) ).

cnf(c_117032,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ coll(sK21,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_117031]) ).

cnf(c_117033,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_117032,c_112222,c_112218,c_105165,c_105163,c_99879,c_87815,c_86757,c_85461,c_85007,c_84116,c_83316,c_82353,c_82269,c_82022,c_81987,c_81590,c_80903,c_74762,c_74400,c_70941,c_65529,c_65500,c_64325,c_64288,c_57532,c_57521,c_57442,c_57379,c_57378,c_51720,c_46129,c_46073,c_44112,c_40295,c_39776,c_39755,c_38496,c_33683,c_31298,c_30686,c_30628,c_28823,c_28749,c_28742,c_25182,c_25163,c_19629,c_17765,c_17631,c_16826,c_15663,c_15633,c_10109,c_10107,c_4876,c_4665,c_4488,c_4443,c_4162,c_4124,c_3490,c_3488,c_3078,c_3076,c_2463,c_2452,c_1983,c_1579,c_1571,c_1569,c_1152,c_1036,c_925,c_839,c_465,c_374,c_365,c_288,c_285,c_234,c_201,c_185,c_180,c_176,c_162,c_164,c_169,c_170]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : GEO558+1 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Fri May  3 01:50:21 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.42  Running first-order theorem proving
% 0.17/0.42  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 84.86/12.18  % SZS status Started for theBenchmark.p
% 84.86/12.18  % SZS status Theorem for theBenchmark.p
% 84.86/12.18  
% 84.86/12.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 84.86/12.18  
% 84.86/12.18  ------  iProver source info
% 84.86/12.18  
% 84.86/12.18  git: date: 2024-05-02 19:28:25 +0000
% 84.86/12.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 84.86/12.18  git: non_committed_changes: false
% 84.86/12.18  
% 84.86/12.18  ------ Parsing...
% 84.86/12.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 84.86/12.18  
% 84.86/12.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 1 0s  sf_e 
% 84.86/12.18  
% 84.86/12.18  ------ Preprocessing...
% 84.86/12.18  
% 84.86/12.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 84.86/12.18  ------ Proving...
% 84.86/12.18  ------ Problem Properties 
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  clauses                                 121
% 84.86/12.18  conjectures                             9
% 84.86/12.18  EPR                                     84
% 84.86/12.18  Horn                                    111
% 84.86/12.18  unary                                   9
% 84.86/12.18  binary                                  37
% 84.86/12.18  lits                                    337
% 84.86/12.18  lits eq                                 4
% 84.86/12.18  fd_pure                                 0
% 84.86/12.18  fd_pseudo                               0
% 84.86/12.18  fd_cond                                 0
% 84.86/12.18  fd_pseudo_cond                          4
% 84.86/12.18  AC symbols                              0
% 84.86/12.18  
% 84.86/12.18  ------ Input Options Time Limit: Unbounded
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  ------ 
% 84.86/12.18  Current options:
% 84.86/12.18  ------ 
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  ------ Proving...
% 84.86/12.18  
% 84.86/12.18  
% 84.86/12.18  % SZS status Theorem for theBenchmark.p
% 84.86/12.18  
% 84.86/12.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.86/12.18  
% 84.86/12.19  
%------------------------------------------------------------------------------