TSTP Solution File: GEO650+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n001.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 : Mon Jun 24 06:15:39 EDT 2024

% Result   : Theorem 50.38s 7.73s
% Output   : CNFRefutation 50.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  294 (  60 unt;   0 def)
%            Number of atoms       :  792 (   0 equ)
%            Maximal formula atoms :   26 (   2 avg)
%            Number of connectives :  816 ( 318   ~; 309   |; 138   &)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  874 (   0 sgn 631   !;  30   ?)

% 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(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD6) ).

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(f13,axiom,
    ! [X0,X1,X2,X3,X7] :
      ( ( cong(X7,X0,X7,X3)
        & cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD13) ).

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(f21,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

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(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(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(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(f58,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cyclic(X0,X1,X8,X9)
        & cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X8,X0,X0,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD57) ).

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(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(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(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20] :
      ( ( coll(X12,X0,X2)
        & coll(X12,X3,X5)
        & coll(X5,X0,X1)
        & perp(X5,X3,X0,X1)
        & perp(X1,X3,X1,X4)
        & perp(X2,X3,X2,X4)
        & perp(X1,X2,X20,X3)
        & midp(X20,X1,X2)
        & perp(X0,X2,X19,X3)
        & midp(X19,X0,X2)
        & perp(X0,X1,X18,X3)
        & midp(X18,X0,X1) )
     => para(X12,X4,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20] :
        ( ( coll(X12,X0,X2)
          & coll(X12,X3,X5)
          & coll(X5,X0,X1)
          & perp(X5,X3,X0,X1)
          & perp(X1,X3,X1,X4)
          & perp(X2,X3,X2,X4)
          & perp(X1,X2,X20,X3)
          & midp(X20,X1,X2)
          & perp(X0,X2,X19,X3)
          & midp(X19,X0,X2)
          & perp(X0,X1,X18,X3)
          & midp(X18,X0,X1) )
       => para(X12,X4,X0,X1) ),
    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(f99,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( cong(X4,X0,X4,X3)
        & cong(X4,X0,X4,X2)
        & cong(X4,X0,X4,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f13]) ).

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(f103,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f21]) ).

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(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(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(f136,plain,
    ! [X0,X1,X2,X3] :
      ( ( cyclic(X0,X1,X2,X3)
        & cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X2,X0,X0,X3) ),
    inference(rectify,[],[f58]) ).

fof(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(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( coll(X6,X0,X2)
          & coll(X6,X3,X5)
          & coll(X5,X0,X1)
          & perp(X5,X3,X0,X1)
          & perp(X1,X3,X1,X4)
          & perp(X2,X3,X2,X4)
          & perp(X1,X2,X9,X3)
          & midp(X9,X1,X2)
          & perp(X0,X2,X8,X3)
          & midp(X8,X0,X2)
          & perp(X0,X1,X7,X3)
          & midp(X7,X0,X1) )
       => para(X6,X4,X0,X1) ),
    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(f174,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f175,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f174]) ).

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(f185,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f186,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(flattening,[],[f185]) ).

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(f195,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f103]) ).

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

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(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(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(f252,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(ennf_transformation,[],[f136]) ).

fof(f253,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(flattening,[],[f252]) ).

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

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

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

fof(f359,plain,
    ( ~ para(sK26,sK24,sK20,sK21)
    & coll(sK26,sK20,sK22)
    & coll(sK26,sK23,sK25)
    & coll(sK25,sK20,sK21)
    & perp(sK25,sK23,sK20,sK21)
    & perp(sK21,sK23,sK21,sK24)
    & perp(sK22,sK23,sK22,sK24)
    & perp(sK21,sK22,sK29,sK23)
    & midp(sK29,sK21,sK22)
    & perp(sK20,sK22,sK28,sK23)
    & midp(sK28,sK20,sK22)
    & perp(sK20,sK21,sK27,sK23)
    & midp(sK27,sK20,sK21) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[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(f365,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f175]) ).

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(f372,plain,
    ! [X2,X3,X0,X1,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(cnf_transformation,[],[f186]) ).

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(f380,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f195]) ).

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

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(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(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(f417,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2) ),
    inference(cnf_transformation,[],[f253]) ).

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

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(f473,plain,
    midp(sK27,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f474,plain,
    perp(sK20,sK21,sK27,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    midp(sK29,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK21,sK23,sK21,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    perp(sK25,sK23,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f483,plain,
    coll(sK26,sK23,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f485,plain,
    ~ para(sK26,sK24,sK20,sK21),
    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_54,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f365]) ).

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_61,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | ~ cong(X0,X1,X0,X4)
    | cyclic(X1,X3,X2,X4) ),
    inference(cnf_transformation,[],[f372]) ).

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_69,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f380]) ).

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

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

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_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_106,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cong(X0,X3,X2,X3)
    | ~ cyclic(X0,X2,X1,X3)
    | perp(X1,X0,X0,X3) ),
    inference(cnf_transformation,[],[f417]) ).

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_116,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ coll(X0,X1,X2)
    | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f427]) ).

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_162,negated_conjecture,
    ~ para(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f485]) ).

cnf(c_164,negated_conjecture,
    coll(sK26,sK23,sK25),
    inference(cnf_transformation,[],[f483]) ).

cnf(c_165,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_166,negated_conjecture,
    perp(sK25,sK23,sK20,sK21),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_167,negated_conjecture,
    perp(sK21,sK23,sK21,sK24),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_170,negated_conjecture,
    midp(sK29,sK21,sK22),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_173,negated_conjecture,
    perp(sK20,sK21,sK27,sK23),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_174,negated_conjecture,
    midp(sK27,sK20,sK21),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_180,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | midp(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_184,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_189,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | perp(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_238,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
    | ~ cyclic(sK21,sK21,sK21,sK21)
    | cong(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_4308,negated_conjecture,
    midp(sK27,sK20,sK21),
    inference(demodulation,[status(thm)],[c_174]) ).

cnf(c_4309,negated_conjecture,
    perp(sK20,sK21,sK27,sK23),
    inference(demodulation,[status(thm)],[c_173]) ).

cnf(c_4315,negated_conjecture,
    perp(sK21,sK23,sK21,sK24),
    inference(demodulation,[status(thm)],[c_167]) ).

cnf(c_4316,negated_conjecture,
    perp(sK25,sK23,sK20,sK21),
    inference(demodulation,[status(thm)],[c_166]) ).

cnf(c_4317,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_4318,negated_conjecture,
    coll(sK26,sK23,sK25),
    inference(demodulation,[status(thm)],[c_164]) ).

cnf(c_5863,plain,
    coll(sK26,sK25,sK23),
    inference(superposition,[status(thm)],[c_4318,c_49]) ).

cnf(c_5864,plain,
    coll(sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_4317,c_49]) ).

cnf(c_5874,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_4317,c_50]) ).

cnf(c_5877,plain,
    coll(sK21,sK25,sK20),
    inference(superposition,[status(thm)],[c_5864,c_50]) ).

cnf(c_5883,plain,
    coll(sK20,sK21,sK25),
    inference(superposition,[status(thm)],[c_5874,c_49]) ).

cnf(c_5900,plain,
    midp(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_4308,c_59]) ).

cnf(c_5954,plain,
    perp(sK25,sK23,sK21,sK20),
    inference(superposition,[status(thm)],[c_4316,c_55]) ).

cnf(c_5959,plain,
    perp(sK20,sK21,sK23,sK27),
    inference(superposition,[status(thm)],[c_4309,c_55]) ).

cnf(c_5965,plain,
    perp(sK21,sK24,sK21,sK23),
    inference(superposition,[status(thm)],[c_4315,c_56]) ).

cnf(c_5969,plain,
    perp(sK27,sK23,sK20,sK21),
    inference(superposition,[status(thm)],[c_4309,c_56]) ).

cnf(c_5988,plain,
    perp(sK23,sK27,sK20,sK21),
    inference(superposition,[status(thm)],[c_5959,c_56]) ).

cnf(c_6030,plain,
    perp(sK27,sK23,sK21,sK20),
    inference(superposition,[status(thm)],[c_5969,c_55]) ).

cnf(c_6059,plain,
    ( ~ coll(sK26,sK23,X0)
    | coll(sK25,X0,sK26) ),
    inference(superposition,[status(thm)],[c_4318,c_51]) ).

cnf(c_6060,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_4317,c_51]) ).

cnf(c_6062,plain,
    ( ~ coll(sK26,sK25,X0)
    | coll(sK23,X0,sK26) ),
    inference(superposition,[status(thm)],[c_5863,c_51]) ).

cnf(c_6066,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5874,c_51]) ).

cnf(c_6069,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_5877,c_51]) ).

cnf(c_6072,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK25,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5883,c_51]) ).

cnf(c_6223,plain,
    coll(sK25,sK25,sK26),
    inference(superposition,[status(thm)],[c_4318,c_6059]) ).

cnf(c_6224,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(sK26,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6223,c_51]) ).

cnf(c_6237,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_4317,c_6060]) ).

cnf(c_6238,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6237,c_51]) ).

cnf(c_6240,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_6237,c_49]) ).

cnf(c_6283,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6240,c_51]) ).

cnf(c_6288,plain,
    ( ~ coll(sK21,sK25,sK21)
    | coll(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6283]) ).

cnf(c_6430,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_5874,c_6066]) ).

cnf(c_6433,plain,
    coll(sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_6430,c_49]) ).

cnf(c_6470,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK27,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_5900,c_93]) ).

cnf(c_6489,plain,
    ( ~ midp(sK29,X0,X1)
    | ~ midp(sK29,sK21,sK22)
    | para(sK21,X0,sK22,X1) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_6553,plain,
    ( ~ circle(sK25,sK20,X0,sK21)
    | ~ coll(sK25,sK20,sK21)
    | perp(sK20,X0,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_6554,plain,
    ( ~ circle(sK25,sK20,sK21,sK21)
    | ~ coll(sK25,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6553]) ).

cnf(c_6745,plain,
    ( ~ midp(sK23,sK20,sK21)
    | cong(sK25,sK20,sK25,sK21) ),
    inference(superposition,[status(thm)],[c_4316,c_104]) ).

cnf(c_6751,plain,
    ( ~ midp(sK23,sK21,sK20)
    | cong(sK25,sK21,sK25,sK20) ),
    inference(superposition,[status(thm)],[c_5954,c_104]) ).

cnf(c_6768,plain,
    ( ~ midp(sK27,sK20,sK21)
    | cong(sK23,sK20,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_5988,c_104]) ).

cnf(c_6787,plain,
    cong(sK23,sK20,sK23,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_6768,c_4308]) ).

cnf(c_6897,plain,
    cong(sK23,sK21,sK23,sK20),
    inference(superposition,[status(thm)],[c_6787,c_72]) ).

cnf(c_7047,plain,
    ( ~ perp(sK27,sK23,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_4309,c_57]) ).

cnf(c_7055,plain,
    ( ~ perp(sK21,sK23,X0,X1)
    | para(sK21,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_5965,c_57]) ).

cnf(c_7251,plain,
    ( ~ cong(sK25,sK20,sK25,X0)
    | ~ midp(sK23,sK20,sK21)
    | circle(sK25,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6745,c_60]) ).

cnf(c_7431,plain,
    ( ~ para(sK27,X0,sK21,X1)
    | ~ coll(X0,sK20,X1)
    | ~ midp(sK27,sK20,sK21)
    | midp(X0,sK20,X1) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_7432,plain,
    ( ~ para(sK27,sK21,sK21,sK21)
    | ~ coll(sK21,sK20,sK21)
    | ~ midp(sK27,sK20,sK21)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_7431]) ).

cnf(c_7557,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6030,c_7047]) ).

cnf(c_7559,plain,
    ( ~ coll(sK23,sK21,sK20)
    | midp(sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_6897,c_116]) ).

cnf(c_7862,plain,
    coll(sK25,sK25,sK20),
    inference(superposition,[status(thm)],[c_5883,c_6072]) ).

cnf(c_7997,plain,
    para(sK21,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_7557,c_53]) ).

cnf(c_8199,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_6237,c_6238]) ).

cnf(c_8217,plain,
    coll(sK26,sK21,sK25),
    inference(superposition,[status(thm)],[c_8199,c_6224]) ).

cnf(c_8435,plain,
    ( ~ para(X0,X1,X0,X1)
    | ~ coll(X0,X0,X2)
    | cyclic(X1,X2,X0,X0) ),
    inference(superposition,[status(thm)],[c_88,c_91]) ).

cnf(c_8448,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | cyclic(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_8435]) ).

cnf(c_8678,plain,
    coll(sK26,sK20,sK25),
    inference(superposition,[status(thm)],[c_7862,c_6224]) ).

cnf(c_8774,plain,
    ( ~ perp(sK20,X0,X1,X2)
    | ~ midp(X3,sK21,X0)
    | perp(sK27,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6470,c_58]) ).

cnf(c_8795,plain,
    ( ~ perp(sK20,sK21,sK21,sK21)
    | ~ midp(sK21,sK21,sK21)
    | perp(sK27,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_8774]) ).

cnf(c_9795,plain,
    ( ~ midp(sK23,sK21,sK20)
    | cong(sK25,sK20,sK25,sK21) ),
    inference(superposition,[status(thm)],[c_6751,c_72]) ).

cnf(c_10652,plain,
    coll(sK21,sK26,sK25),
    inference(superposition,[status(thm)],[c_8217,c_50]) ).

cnf(c_10686,plain,
    coll(sK26,sK25,sK20),
    inference(superposition,[status(thm)],[c_8678,c_49]) ).

cnf(c_10849,plain,
    ( ~ midp(sK29,sK21,sK22)
    | para(sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6489]) ).

cnf(c_11920,plain,
    ( ~ cong(sK23,sK20,sK23,X0)
    | ~ cong(sK23,sK20,sK23,X1)
    | cyclic(sK20,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_6787,c_61]) ).

cnf(c_12209,plain,
    para(sK21,sK24,sK21,sK24),
    inference(superposition,[status(thm)],[c_4315,c_7055]) ).

cnf(c_12211,plain,
    ( ~ para(sK21,sK24,sK21,sK24)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_12209,c_113]) ).

cnf(c_12221,plain,
    ( ~ midp(X0,sK21,sK21)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12211,c_12209]) ).

cnf(c_12224,plain,
    ( ~ midp(sK21,sK21,sK21)
    | midp(sK21,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_12221]) ).

cnf(c_13277,plain,
    coll(sK21,sK25,sK26),
    inference(superposition,[status(thm)],[c_10652,c_49]) ).

cnf(c_13515,plain,
    ( ~ para(sK22,sK22,X0,X1)
    | ~ para(sK21,sK21,sK22,sK22)
    | para(sK21,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_13516,plain,
    ( ~ para(sK21,sK21,sK22,sK22)
    | para(sK22,sK22,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_13518,plain,
    ( ~ para(sK21,sK21,sK22,sK22)
    | ~ para(sK22,sK22,sK21,sK21)
    | para(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_13515]) ).

cnf(c_13731,plain,
    coll(sK23,sK20,sK26),
    inference(superposition,[status(thm)],[c_10686,c_6062]) ).

cnf(c_16595,plain,
    coll(sK20,sK26,sK21),
    inference(superposition,[status(thm)],[c_13277,c_6069]) ).

cnf(c_17584,plain,
    coll(sK20,sK23,sK26),
    inference(superposition,[status(thm)],[c_13731,c_50]) ).

cnf(c_17738,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | ~ perp(sK26,sK24,X0,X1)
    | para(sK26,sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_17739,plain,
    ( ~ perp(sK26,sK24,sK21,sK21)
    | ~ perp(sK21,sK21,sK20,sK21)
    | para(sK26,sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_17738]) ).

cnf(c_17742,plain,
    ( ~ perp(X0,X1,sK21,X2)
    | ~ perp(sK27,X3,X0,X1)
    | para(sK27,X3,sK21,X2) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_17743,plain,
    ( ~ perp(sK21,sK21,sK21,sK21)
    | ~ perp(sK27,sK21,sK21,sK21)
    | para(sK27,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_17742]) ).

cnf(c_18255,plain,
    ( ~ cong(sK25,sK20,sK25,X0)
    | ~ cong(sK25,sK20,sK25,sK21)
    | circle(sK25,sK20,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_18256,plain,
    ( ~ cong(sK25,sK20,sK25,sK21)
    | circle(sK25,sK20,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_18255]) ).

cnf(c_19818,plain,
    coll(sK20,sK26,sK23),
    inference(superposition,[status(thm)],[c_17584,c_49]) ).

cnf(c_23003,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK23,X0,sK20) ),
    inference(superposition,[status(thm)],[c_19818,c_51]) ).

cnf(c_23010,plain,
    ( ~ coll(sK20,sK26,sK21)
    | coll(sK23,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_23003]) ).

cnf(c_23924,plain,
    ( ~ cong(sK25,sK20,sK25,X0)
    | circle(sK25,sK20,X0,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_7251,c_7559,c_9795,c_16595,c_18255,c_23010]) ).

cnf(c_23932,plain,
    ( ~ midp(sK23,sK20,sK21)
    | circle(sK25,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_6745,c_23924]) ).

cnf(c_23942,plain,
    circle(sK25,sK20,sK21,sK21),
    inference(global_subsumption_just,[status(thm)],[c_23932,c_7559,c_9795,c_16595,c_18256,c_23010]) ).

cnf(c_23944,plain,
    ( ~ coll(sK25,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_23942,c_102]) ).

cnf(c_23945,plain,
    perp(sK20,sK21,sK21,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_23944,c_4317]) ).

cnf(c_23948,plain,
    perp(sK21,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_23945,c_56]) ).

cnf(c_23954,plain,
    ( ~ midp(X0,sK20,sK21)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_23945,c_101]) ).

cnf(c_23971,plain,
    ( ~ midp(sK21,sK20,sK21)
    | cong(sK20,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_23954]) ).

cnf(c_30305,plain,
    ( ~ cong(sK23,sK20,sK23,X0)
    | cyclic(sK20,sK21,sK21,X0) ),
    inference(superposition,[status(thm)],[c_6787,c_11920]) ).

cnf(c_30379,plain,
    cyclic(sK20,sK21,sK21,sK21),
    inference(superposition,[status(thm)],[c_6787,c_30305]) ).

cnf(c_30408,plain,
    ( ~ cong(sK20,sK21,sK21,sK21)
    | perp(sK21,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_30379,c_106]) ).

cnf(c_34837,plain,
    ( ~ cong(sK26,X0,sK24,X0)
    | ~ cong(sK26,X1,sK24,X1)
    | perp(sK26,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_34838,plain,
    ( ~ cong(sK26,sK21,sK24,sK21)
    | perp(sK26,sK24,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_34837]) ).

cnf(c_106162,plain,
    ( ~ cong(sK24,X0,sK26,X0)
    | cong(sK26,X0,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_106163,plain,
    ( ~ cong(sK24,sK21,sK26,sK21)
    | cong(sK26,sK21,sK24,sK21) ),
    inference(instantiation,[status(thm)],[c_106162]) ).

cnf(c_173197,plain,
    ( ~ eqangle(sK26,sK24,X0,X1,X2,X3,X4,X5)
    | ~ perp(X2,X3,X4,X5)
    | perp(sK26,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_173198,plain,
    ( ~ perp(sK26,sK24,X0,X1)
    | perp(sK26,sK24,X1,X0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_173410,plain,
    ( ~ perp(sK26,sK24,X0,X1)
    | perp(X0,X1,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_173624,plain,
    ( ~ eqangle(sK21,sK20,sK26,sK24,X0,X1,X2,X3)
    | eqangle(sK26,sK24,sK21,sK20,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_173707,plain,
    ( ~ para(X0,X1,sK20,sK21)
    | eqangle(X0,X1,sK26,sK24,sK20,sK21,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_173937,plain,
    ( ~ eqangle(sK26,sK24,X0,X1,X2,X3,X4,X5)
    | eqangle(sK26,sK24,X2,X3,X0,X1,X4,X5) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_176741,plain,
    ( ~ eqangle(sK21,sK20,sK26,sK24,sK20,sK21,sK26,sK24)
    | eqangle(sK26,sK24,sK21,sK20,sK26,sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_173624]) ).

cnf(c_176742,plain,
    ( ~ para(sK21,sK20,sK20,sK21)
    | eqangle(sK21,sK20,sK26,sK24,sK20,sK21,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_173707]) ).

cnf(c_177259,plain,
    ( ~ perp(X0,sK26,sK26,X1)
    | ~ midp(X2,X0,X1)
    | cong(X0,X2,sK26,X2) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_180314,plain,
    ( ~ eqangle(sK26,sK24,sK21,sK20,sK26,sK24,sK20,sK21)
    | eqangle(sK26,sK24,sK26,sK24,sK21,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_173937]) ).

cnf(c_187980,plain,
    ( ~ eqangle(sK26,sK24,sK26,sK24,sK21,sK20,sK20,sK21)
    | ~ perp(sK21,sK20,sK20,sK21)
    | perp(sK26,sK24,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_173197]) ).

cnf(c_194510,plain,
    ( ~ perp(sK26,sK24,sK26,sK24)
    | perp(sK26,sK24,sK24,sK26) ),
    inference(instantiation,[status(thm)],[c_173198]) ).

cnf(c_203327,plain,
    ( ~ perp(sK26,sK24,sK24,sK26)
    | perp(sK24,sK26,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_173410]) ).

cnf(c_211027,plain,
    ( ~ perp(sK24,sK26,sK26,sK24)
    | ~ midp(X0,sK24,sK24)
    | cong(sK24,X0,sK26,X0) ),
    inference(instantiation,[status(thm)],[c_177259]) ).

cnf(c_211034,plain,
    ( ~ perp(sK24,sK26,sK26,sK24)
    | ~ midp(sK21,sK24,sK24)
    | cong(sK24,sK21,sK26,sK21) ),
    inference(instantiation,[status(thm)],[c_211027]) ).

cnf(c_211035,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_211034,c_203327,c_194510,c_187980,c_180314,c_176742,c_176741,c_106163,c_34838,c_30408,c_23971,c_23948,c_23010,c_18256,c_17743,c_17739,c_16595,c_13518,c_13516,c_12224,c_10849,c_9795,c_8795,c_8448,c_7997,c_7559,c_7432,c_6554,c_6433,c_6288,c_6240,c_238,c_189,c_184,c_180,c_162,c_165,c_170,c_174]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO650+1 : TPTP v8.2.0. Released v7.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Jun 21 07:22:54 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  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
% 50.38/7.73  % SZS status Started for theBenchmark.p
% 50.38/7.73  % SZS status Theorem for theBenchmark.p
% 50.38/7.73  
% 50.38/7.73  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 50.38/7.73  
% 50.38/7.73  ------  iProver source info
% 50.38/7.73  
% 50.38/7.73  git: date: 2024-06-12 09:56:46 +0000
% 50.38/7.73  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 50.38/7.73  git: non_committed_changes: false
% 50.38/7.73  
% 50.38/7.73  ------ Parsing...
% 50.38/7.73  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 50.38/7.73  
% 50.38/7.73  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 50.38/7.73  
% 50.38/7.73  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 50.38/7.73  
% 50.38/7.73  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 50.38/7.73  ------ Proving...
% 50.38/7.73  ------ Problem Properties 
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  clauses                                 125
% 50.38/7.73  conjectures                             13
% 50.38/7.73  EPR                                     88
% 50.38/7.73  Horn                                    115
% 50.38/7.73  unary                                   13
% 50.38/7.73  binary                                  37
% 50.38/7.73  lits                                    341
% 50.38/7.73  lits eq                                 4
% 50.38/7.73  fd_pure                                 0
% 50.38/7.73  fd_pseudo                               0
% 50.38/7.73  fd_cond                                 0
% 50.38/7.73  fd_pseudo_cond                          4
% 50.38/7.73  AC symbols                              0
% 50.38/7.73  
% 50.38/7.73  ------ Schedule dynamic 5 is on 
% 50.38/7.73  
% 50.38/7.73  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  ------ 
% 50.38/7.73  Current options:
% 50.38/7.73  ------ 
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  ------ Proving...
% 50.38/7.73  
% 50.38/7.73  
% 50.38/7.73  % SZS status Theorem for theBenchmark.p
% 50.38/7.73  
% 50.38/7.73  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.38/7.73  
% 50.38/7.73  
%------------------------------------------------------------------------------