TSTP Solution File: GEO576+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO576+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:11:52 EDT 2023

% Result   : Theorem 31.63s 5.23s
% Output   : CNFRefutation 31.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  627 ( 110 unt;   0 def)
%            Number of atoms       : 1495 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 1564 ( 696   ~; 690   |; 108   &)
%                                         (   0 <=>;  70  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-5 aty)
%            Number of variables   : 1366 (   0 sgn; 858   !;  33   ?)

% 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(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD4) ).

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(f18,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

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(f22,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
      ( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).

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(f42,axiom,
    ! [X0,X1,X8,X9] :
      ( ( ~ coll(X8,X9,X0)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).

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(f47,axiom,
    ! [X0,X1,X7] :
      ( cong(X7,X0,X7,X1)
     => eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).

fof(f49,axiom,
    ! [X0,X1,X2,X7,X15] :
      ( ( perp(X7,X0,X0,X15)
        & circle(X7,X0,X1,X2) )
     => eqangle(X0,X15,X0,X1,X2,X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD48) ).

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(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(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(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,X1,X2,X3,X7,X18,X8,X19] :
      ( ( coll(X8,X1,X2)
        & perp(X0,X2,X18,X8)
        & coll(X18,X0,X3)
        & circle(X7,X0,X18,X19)
        & circle(X7,X0,X1,X2)
        & coll(X3,X1,X2)
        & perp(X3,X0,X1,X2) )
     => eqangle(X7,X0,X0,X3,X2,X0,X0,X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214038) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X7,X18,X8,X19] :
        ( ( coll(X8,X1,X2)
          & perp(X0,X2,X18,X8)
          & coll(X18,X0,X3)
          & circle(X7,X0,X18,X19)
          & circle(X7,X0,X1,X2)
          & coll(X3,X1,X2)
          & perp(X3,X0,X1,X2) )
       => eqangle(X7,X0,X0,X3,X2,X0,X0,X8) ),
    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(f100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f18]) ).

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(f104,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(rectify,[],[f22]) ).

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(f121,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ coll(X2,X3,X0)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f42]) ).

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(f126,plain,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    inference(rectify,[],[f47]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(X3,X0,X0,X4)
        & circle(X3,X0,X1,X2) )
     => eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(rectify,[],[f49]) ).

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(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(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] :
        ( ( coll(X6,X1,X2)
          & perp(X0,X2,X5,X6)
          & coll(X5,X0,X3)
          & circle(X4,X0,X5,X7)
          & circle(X4,X0,X1,X2)
          & coll(X3,X1,X2)
          & perp(X3,X0,X1,X2) )
       => eqangle(X4,X0,X0,X3,X2,X0,X0,X6) ),
    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(f172,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

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(f192,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f100]) ).

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(f196,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f196]) ).

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(f221,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f222,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f221]) ).

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(f231,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f126]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f128]) ).

fof(f235,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f234]) ).

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(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(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(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] :
      ( ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6)
      & coll(X6,X1,X2)
      & perp(X0,X2,X5,X6)
      & coll(X5,X0,X3)
      & circle(X4,X0,X5,X7)
      & circle(X4,X0,X1,X2)
      & coll(X3,X1,X2)
      & perp(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6)
      & coll(X6,X1,X2)
      & perp(X0,X2,X5,X6)
      & coll(X5,X0,X3)
      & circle(X4,X0,X5,X7)
      & circle(X4,X0,X1,X2)
      & coll(X3,X1,X2)
      & perp(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] :
        ( ~ eqangle(X4,X0,X0,X3,X2,X0,X0,X6)
        & coll(X6,X1,X2)
        & perp(X0,X2,X5,X6)
        & coll(X5,X0,X3)
        & circle(X4,X0,X5,X7)
        & circle(X4,X0,X1,X2)
        & coll(X3,X1,X2)
        & perp(X3,X0,X1,X2) )
   => ( ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26)
      & coll(sK26,sK21,sK22)
      & perp(sK20,sK22,sK25,sK26)
      & coll(sK25,sK20,sK23)
      & circle(sK24,sK20,sK25,sK27)
      & circle(sK24,sK20,sK21,sK22)
      & coll(sK23,sK21,sK22)
      & perp(sK23,sK20,sK21,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f359,plain,
    ( ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26)
    & coll(sK26,sK21,sK22)
    & perp(sK20,sK22,sK25,sK26)
    & coll(sK25,sK20,sK23)
    & circle(sK24,sK20,sK25,sK27)
    & circle(sK24,sK20,sK21,sK22)
    & coll(sK23,sK21,sK22)
    & perp(sK23,sK20,sK21,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27])],[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(f363,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f172]) ).

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(f377,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f192]) ).

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(f381,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f197]) ).

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(f401,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f222]) ).

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(f406,plain,
    ! [X2,X0,X1] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f231]) ).

fof(f408,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f235]) ).

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(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(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(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,
    perp(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f474,plain,
    coll(sK23,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    circle(sK24,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    circle(sK24,sK20,sK25,sK27),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    coll(sK25,sK20,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f478,plain,
    perp(sK20,sK22,sK25,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    coll(sK26,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26),
    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_52,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f363]) ).

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_66,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f377]) ).

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_70,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
    | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f381]) ).

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_90,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | cyclic(X1,X2,X0,X3)
    | coll(X0,X3,X1) ),
    inference(cnf_transformation,[],[f401]) ).

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_95,plain,
    ( ~ cong(X0,X1,X0,X2)
    | eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
    inference(cnf_transformation,[],[f406]) ).

cnf(c_97,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ circle(X0,X1,X3,X4)
    | eqangle(X1,X2,X1,X3,X4,X1,X4,X3) ),
    inference(cnf_transformation,[],[f408]) ).

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_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_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_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,
    ~ eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_163,negated_conjecture,
    coll(sK26,sK21,sK22),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_164,negated_conjecture,
    perp(sK20,sK22,sK25,sK26),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_165,negated_conjecture,
    coll(sK25,sK20,sK23),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_166,negated_conjecture,
    circle(sK24,sK20,sK25,sK27),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_167,negated_conjecture,
    circle(sK24,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_168,negated_conjecture,
    coll(sK23,sK21,sK22),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_169,negated_conjecture,
    perp(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_175,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | midp(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_184,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_359,plain,
    ( ~ coll(sK25,sK20,sK23)
    | coll(sK25,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_362,plain,
    ( ~ coll(sK25,sK20,sK23)
    | coll(sK20,sK25,sK23) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_375,plain,
    ( ~ circle(sK24,sK20,sK21,sK22)
    | ~ coll(sK24,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_102]) ).

cnf(c_376,plain,
    ( ~ circle(sK24,sK20,sK25,sK27)
    | perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_398,plain,
    ( ~ perp(sK24,sK20,sK20,X0)
    | ~ circle(sK24,sK20,sK21,sK22)
    | eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_97]) ).

cnf(c_416,plain,
    ( ~ coll(sK25,sK23,X0)
    | ~ coll(sK25,sK23,sK20)
    | coll(X0,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_417,plain,
    ( ~ coll(sK25,sK23,sK20)
    | coll(sK20,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_416]) ).

cnf(c_433,plain,
    coll(sK25,sK23,sK20),
    inference(superposition,[status(thm)],[c_165,c_49]) ).

cnf(c_437,plain,
    ( ~ coll(sK20,sK25,X0)
    | ~ coll(sK20,sK25,sK23)
    | coll(X0,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_438,plain,
    ( ~ coll(sK20,sK25,sK20)
    | ~ coll(sK20,sK25,sK23)
    | coll(sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_437]) ).

cnf(c_441,plain,
    coll(sK21,sK26,sK22),
    inference(superposition,[status(thm)],[c_163,c_50]) ).

cnf(c_442,plain,
    coll(sK20,sK25,sK23),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_443,plain,
    coll(sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_168,c_50]) ).

cnf(c_467,plain,
    coll(sK21,sK22,sK26),
    inference(superposition,[status(thm)],[c_441,c_49]) ).

cnf(c_471,plain,
    coll(sK21,sK22,sK23),
    inference(superposition,[status(thm)],[c_443,c_49]) ).

cnf(c_568,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X2,X0,X1) ),
    inference(superposition,[status(thm)],[c_117,c_72]) ).

cnf(c_571,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X2,X1,X0) ),
    inference(superposition,[status(thm)],[c_568,c_71]) ).

cnf(c_588,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X1,X0,X0,X2) ),
    inference(superposition,[status(thm)],[c_571,c_72]) ).

cnf(c_590,plain,
    ( ~ coll(sK26,sK21,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_591,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK23,X0,sK25) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_592,plain,
    ( ~ coll(sK23,sK21,X0)
    | coll(sK22,X0,sK23) ),
    inference(superposition,[status(thm)],[c_168,c_51]) ).

cnf(c_594,plain,
    ( ~ coll(sK25,sK23,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_433,c_51]) ).

cnf(c_597,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK23,X0,sK20) ),
    inference(superposition,[status(thm)],[c_442,c_51]) ).

cnf(c_603,plain,
    ( ~ coll(sK21,sK22,X0)
    | coll(sK26,X0,sK21) ),
    inference(superposition,[status(thm)],[c_467,c_51]) ).

cnf(c_604,plain,
    ( ~ coll(sK21,sK22,X0)
    | coll(sK23,X0,sK21) ),
    inference(superposition,[status(thm)],[c_471,c_51]) ).

cnf(c_623,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24)
    | perp(sK20,sK24,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_624,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24)
    | perp(sK11(sK20,sK25,sK27,sK24),sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_627,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24)
    | ~ coll(sK24,X0,X1)
    | perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,X0,X1),sK11(sK20,sK25,sK27,sK24),X0,X1) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_630,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24)
    | ~ coll(sK24,sK20,sK20)
    | perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,sK20,sK20),sK11(sK20,sK25,sK27,sK24),sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_627]) ).

cnf(c_651,plain,
    coll(sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_163,c_590]) ).

cnf(c_652,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_651,c_51]) ).

cnf(c_655,plain,
    ( ~ coll(sK22,sK22,sK20)
    | coll(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_652]) ).

cnf(c_676,plain,
    coll(sK23,sK23,sK25),
    inference(superposition,[status(thm)],[c_165,c_591]) ).

cnf(c_677,plain,
    ( ~ coll(sK23,sK23,X0)
    | coll(sK25,X0,sK23) ),
    inference(superposition,[status(thm)],[c_676,c_51]) ).

cnf(c_686,plain,
    coll(sK22,sK22,sK23),
    inference(superposition,[status(thm)],[c_168,c_592]) ).

cnf(c_687,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK23,X0,sK22) ),
    inference(superposition,[status(thm)],[c_686,c_51]) ).

cnf(c_689,plain,
    coll(sK22,sK23,sK22),
    inference(superposition,[status(thm)],[c_686,c_49]) ).

cnf(c_712,plain,
    coll(sK23,sK22,sK22),
    inference(superposition,[status(thm)],[c_689,c_50]) ).

cnf(c_747,plain,
    coll(sK20,sK20,sK25),
    inference(superposition,[status(thm)],[c_433,c_594]) ).

cnf(c_761,plain,
    coll(sK20,sK25,sK20),
    inference(superposition,[status(thm)],[c_747,c_49]) ).

cnf(c_782,plain,
    coll(sK23,sK23,sK20),
    inference(superposition,[status(thm)],[c_442,c_597]) ).

cnf(c_784,plain,
    ( ~ coll(sK23,sK23,X0)
    | coll(sK20,X0,sK23) ),
    inference(superposition,[status(thm)],[c_782,c_51]) ).

cnf(c_805,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_761,c_51]) ).

cnf(c_809,plain,
    ( ~ coll(sK20,sK25,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_805]) ).

cnf(c_858,plain,
    coll(sK26,sK23,sK22),
    inference(superposition,[status(thm)],[c_686,c_652]) ).

cnf(c_866,plain,
    coll(sK26,sK22,sK23),
    inference(superposition,[status(thm)],[c_858,c_49]) ).

cnf(c_907,plain,
    coll(sK23,sK23,sK22),
    inference(superposition,[status(thm)],[c_686,c_687]) ).

cnf(c_909,plain,
    ( ~ coll(sK23,sK23,X0)
    | coll(sK22,X0,sK23) ),
    inference(superposition,[status(thm)],[c_907,c_51]) ).

cnf(c_911,plain,
    coll(sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_907,c_49]) ).

cnf(c_912,plain,
    coll(sK25,sK22,sK23),
    inference(superposition,[status(thm)],[c_907,c_677]) ).

cnf(c_913,plain,
    ( ~ coll(sK23,sK23,sK20)
    | coll(sK22,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_909]) ).

cnf(c_926,plain,
    ( ~ cong(X0,X0,X0,X1)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_95,c_87]) ).

cnf(c_929,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,X2,X1)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_568,c_116]) ).

cnf(c_956,plain,
    coll(sK26,sK22,sK21),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_958,plain,
    coll(sK23,sK22,sK21),
    inference(superposition,[status(thm)],[c_168,c_49]) ).

cnf(c_959,plain,
    coll(sK21,sK26,sK22),
    inference(superposition,[status(thm)],[c_163,c_50]) ).

cnf(c_960,plain,
    coll(sK20,sK25,sK23),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_961,plain,
    coll(sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_168,c_50]) ).

cnf(c_977,plain,
    coll(sK21,sK22,sK26),
    inference(superposition,[status(thm)],[c_959,c_49]) ).

cnf(c_981,plain,
    coll(sK21,sK22,sK23),
    inference(superposition,[status(thm)],[c_961,c_49]) ).

cnf(c_1007,plain,
    coll(sK25,sK23,sK22),
    inference(superposition,[status(thm)],[c_912,c_49]) ).

cnf(c_1010,plain,
    perp(sK20,sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_1011,plain,
    perp(sK23,sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_169,c_55]) ).

cnf(c_1012,plain,
    perp(sK25,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_1013,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_169,c_56]) ).

cnf(c_1022,plain,
    perp(sK22,sK21,sK23,sK20),
    inference(superposition,[status(thm)],[c_1011,c_56]) ).

cnf(c_1027,plain,
    perp(sK21,sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_1013,c_55]) ).

cnf(c_1031,plain,
    perp(sK22,sK21,sK20,sK23),
    inference(superposition,[status(thm)],[c_1022,c_55]) ).

cnf(c_1039,plain,
    coll(sK26,sK26,sK21),
    inference(superposition,[status(thm)],[c_977,c_603]) ).

cnf(c_1043,plain,
    coll(sK23,sK26,sK21),
    inference(superposition,[status(thm)],[c_977,c_604]) ).

cnf(c_1044,plain,
    coll(sK23,sK23,sK21),
    inference(superposition,[status(thm)],[c_981,c_604]) ).

cnf(c_1058,plain,
    coll(sK26,sK21,sK26),
    inference(superposition,[status(thm)],[c_1039,c_49]) ).

cnf(c_1062,plain,
    coll(sK23,sK21,sK26),
    inference(superposition,[status(thm)],[c_1043,c_49]) ).

cnf(c_1068,plain,
    ( ~ coll(sK26,sK22,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_956,c_51]) ).

cnf(c_1070,plain,
    ( ~ coll(sK23,sK22,X0)
    | coll(sK21,X0,sK23) ),
    inference(superposition,[status(thm)],[c_958,c_51]) ).

cnf(c_1072,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK23,X0,sK20) ),
    inference(superposition,[status(thm)],[c_960,c_51]) ).

cnf(c_1100,plain,
    ( ~ coll(sK23,sK23,X0)
    | coll(sK21,X0,sK23) ),
    inference(superposition,[status(thm)],[c_1044,c_51]) ).

cnf(c_1101,plain,
    ( ~ coll(sK23,sK23,sK20)
    | coll(sK21,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_1100]) ).

cnf(c_1213,plain,
    coll(sK21,sK23,sK26),
    inference(superposition,[status(thm)],[c_866,c_1068]) ).

cnf(c_1217,plain,
    ( ~ perp(sK20,sK24,sK11(sK20,sK25,sK27,sK24),sK20)
    | ~ perp(X0,X1,sK20,sK24)
    | para(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1234,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK24,sK20)
    | perp(sK24,sK20,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_1236,plain,
    ( ~ perp(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20)
    | ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK24,sK20)
    | para(X0,X1,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_1245,plain,
    coll(sK21,sK23,sK23),
    inference(superposition,[status(thm)],[c_911,c_1070]) ).

cnf(c_1263,plain,
    coll(sK23,sK23,sK20),
    inference(superposition,[status(thm)],[c_960,c_1072]) ).

cnf(c_1294,plain,
    coll(sK20,sK21,sK23),
    inference(superposition,[status(thm)],[c_1044,c_784]) ).

cnf(c_1334,plain,
    ( ~ coll(sK21,sK23,X0)
    | coll(sK26,X0,sK21) ),
    inference(superposition,[status(thm)],[c_1213,c_51]) ).

cnf(c_1338,plain,
    ( ~ coll(sK21,sK23,sK20)
    | coll(sK26,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_1334]) ).

cnf(c_1360,plain,
    ( ~ coll(sK24,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_167,c_102]) ).

cnf(c_1362,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_1363,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK21,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_169,c_104]) ).

cnf(c_1367,plain,
    ( ~ midp(sK22,sK23,sK20)
    | cong(sK21,sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_1013,c_104]) ).

cnf(c_1369,plain,
    ( ~ midp(sK21,sK23,sK20)
    | cong(sK22,sK23,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_1022,c_104]) ).

cnf(c_1371,plain,
    ( ~ midp(sK22,sK20,sK23)
    | cong(sK21,sK20,sK21,sK23) ),
    inference(superposition,[status(thm)],[c_1027,c_104]) ).

cnf(c_1404,plain,
    ( ~ perp(sK25,sK26,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_1406,plain,
    ( ~ perp(sK26,sK25,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_1010,c_57]) ).

cnf(c_1407,plain,
    ( ~ perp(sK22,sK21,X0,X1)
    | para(sK23,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_1011,c_57]) ).

cnf(c_1409,plain,
    ( ~ perp(sK23,sK20,X0,X1)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_1013,c_57]) ).

cnf(c_1411,plain,
    ( ~ perp(sK23,sK20,X0,X1)
    | para(sK22,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_1022,c_57]) ).

cnf(c_1416,plain,
    ( ~ perp(sK23,sK20,sK20,sK20)
    | para(sK22,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_1411]) ).

cnf(c_1418,plain,
    ( ~ perp(sK23,sK20,sK20,sK20)
    | para(sK21,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_1409]) ).

cnf(c_1480,plain,
    coll(sK21,sK23,sK22),
    inference(resolution,[status(thm)],[c_50,c_168]) ).

cnf(c_1487,plain,
    ( ~ coll(X0,sK20,X1)
    | ~ coll(X0,sK20,sK25)
    | coll(X1,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1510,plain,
    ( ~ coll(X0,sK23,X1)
    | ~ coll(X0,sK23,sK20)
    | coll(X1,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1514,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | ~ coll(sK24,sK20,sK22)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_1360,c_57]) ).

cnf(c_1518,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK24,sK20,sK22)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_1360,c_101]) ).

cnf(c_1535,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK26,sK20,sK25) ),
    inference(superposition,[status(thm)],[c_1362,c_72]) ).

cnf(c_1539,plain,
    ( ~ coll(X0,sK25,X1)
    | coll(sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_1540,plain,
    ( ~ coll(X0,sK25,X1)
    | coll(X0,X1,sK25) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_1541,plain,
    ( ~ coll(X0,sK25,X1)
    | ~ coll(X0,sK25,X2)
    | coll(X1,X2,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_1567,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK22,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_1363,c_72]) ).

cnf(c_1584,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_1012,c_1404]) ).

cnf(c_1620,plain,
    coll(sK20,sK22,sK22),
    inference(superposition,[status(thm)],[c_1584,c_115]) ).

cnf(c_1634,plain,
    perp(sK20,sK22,sK26,sK25),
    inference(resolution,[status(thm)],[c_55,c_164]) ).

cnf(c_1635,plain,
    perp(sK23,sK20,sK22,sK21),
    inference(resolution,[status(thm)],[c_55,c_169]) ).

cnf(c_1671,plain,
    perp(sK25,sK26,sK20,sK22),
    inference(resolution,[status(thm)],[c_56,c_164]) ).

cnf(c_1672,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(resolution,[status(thm)],[c_56,c_169]) ).

cnf(c_1673,plain,
    perp(sK26,sK25,sK20,sK22),
    inference(resolution,[status(thm)],[c_56,c_1634]) ).

cnf(c_1674,plain,
    perp(sK22,sK21,sK23,sK20),
    inference(resolution,[status(thm)],[c_56,c_1635]) ).

cnf(c_1688,plain,
    ( ~ cong(sK20,sK26,X0,X1)
    | ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_1362,c_73]) ).

cnf(c_1689,plain,
    ( ~ cong(sK23,sK22,X0,X1)
    | ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_1363,c_73]) ).

cnf(c_1706,plain,
    coll(sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_1263,c_909]) ).

cnf(c_1724,plain,
    perp(sK25,sK26,sK22,sK20),
    inference(resolution,[status(thm)],[c_1671,c_55]) ).

cnf(c_1770,plain,
    perp(sK26,sK25,sK22,sK20),
    inference(resolution,[status(thm)],[c_1673,c_55]) ).

cnf(c_1963,plain,
    ( ~ cong(sK21,sK23,sK21,X0)
    | ~ midp(sK22,sK23,sK20)
    | circle(sK21,sK23,X0,sK20) ),
    inference(superposition,[status(thm)],[c_1367,c_60]) ).

cnf(c_1992,plain,
    ( ~ coll(sK26,sK21,X0)
    | coll(X0,sK22,sK26) ),
    inference(resolution,[status(thm)],[c_51,c_163]) ).

cnf(c_2004,plain,
    ( ~ coll(sK21,sK23,X0)
    | coll(X0,sK22,sK21) ),
    inference(resolution,[status(thm)],[c_51,c_1480]) ).

cnf(c_2005,plain,
    ( ~ coll(sK21,sK23,sK20)
    | coll(sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_2004]) ).

cnf(c_2150,plain,
    ( ~ midp(X0,X0,X1)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_588,c_926]) ).

cnf(c_2184,plain,
    coll(sK22,sK22,sK26),
    inference(resolution,[status(thm)],[c_1992,c_163]) ).

cnf(c_2187,plain,
    ( ~ cong(sK20,sK25,X0,X1)
    | ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_1535,c_73]) ).

cnf(c_2196,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(X0,sK26,sK22) ),
    inference(resolution,[status(thm)],[c_2184,c_51]) ).

cnf(c_2203,plain,
    ( ~ coll(sK26,X0,sK21)
    | coll(sK26,sK21,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2204,plain,
    ( ~ coll(sK26,sK20,sK21)
    | coll(sK26,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_2203]) ).

cnf(c_2208,plain,
    ( ~ coll(sK24,sK22,sK20)
    | coll(sK24,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2213,plain,
    ( ~ coll(sK26,X0,sK22)
    | coll(sK26,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2214,plain,
    ( ~ coll(sK26,sK20,sK22)
    | coll(sK26,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_2213]) ).

cnf(c_2219,plain,
    ( ~ coll(sK21,X0,sK23)
    | coll(sK21,sK23,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2220,plain,
    ( ~ coll(sK21,sK20,sK23)
    | coll(sK21,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_2219]) ).

cnf(c_2230,plain,
    ( ~ cong(sK23,sK21,X0,X1)
    | ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_1567,c_73]) ).

cnf(c_2306,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X4,X5,X0,X1,X4,X5,X2,X3) ),
    inference(superposition,[status(thm)],[c_88,c_67]) ).

cnf(c_2324,plain,
    ( ~ coll(sK22,X0,sK22)
    | coll(sK22,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_2325,plain,
    ( ~ coll(sK22,sK20,sK22)
    | coll(sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_2324]) ).

cnf(c_2335,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
    inference(superposition,[status(thm)],[c_88,c_69]) ).

cnf(c_2448,plain,
    ( ~ midp(sK26,sK21,sK26)
    | midp(sK26,sK26,sK21) ),
    inference(superposition,[status(thm)],[c_1039,c_929]) ).

cnf(c_2642,plain,
    coll(sK26,sK26,sK22),
    inference(resolution,[status(thm)],[c_2196,c_2184]) ).

cnf(c_2647,plain,
    coll(sK26,sK22,sK26),
    inference(resolution,[status(thm)],[c_2642,c_49]) ).

cnf(c_2730,plain,
    coll(sK25,sK23,sK20),
    inference(superposition,[status(thm)],[c_165,c_49]) ).

cnf(c_2775,plain,
    perp(sK20,sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_2787,plain,
    perp(sK26,sK25,sK20,sK22),
    inference(superposition,[status(thm)],[c_2775,c_56]) ).

cnf(c_2817,plain,
    ( ~ coll(sK25,sK23,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_2730,c_51]) ).

cnf(c_2883,plain,
    ( ~ coll(sK26,sK21,X0)
    | coll(sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_1058,c_51]) ).

cnf(c_2887,plain,
    ( ~ coll(sK26,sK21,sK20)
    | coll(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_2883]) ).

cnf(c_2910,plain,
    coll(sK20,sK22,sK25),
    inference(superposition,[status(thm)],[c_1007,c_2817]) ).

cnf(c_2923,plain,
    ( ~ coll(sK21,sK23,X0)
    | coll(sK23,X0,sK21) ),
    inference(superposition,[status(thm)],[c_1245,c_51]) ).

cnf(c_2926,plain,
    ( ~ coll(sK21,sK23,sK20)
    | coll(sK23,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_2923]) ).

cnf(c_2942,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_2787,c_1406]) ).

cnf(c_3018,plain,
    coll(sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_1620,c_50]) ).

cnf(c_3023,plain,
    coll(sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_1706,c_49]) ).

cnf(c_3109,plain,
    ( ~ perp(sK24,sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | perp(sK24,sK20,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_3120,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_3121,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK21,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_169,c_104]) ).

cnf(c_3252,plain,
    ( ~ coll(sK26,sK22,X0)
    | coll(X0,sK26,sK26) ),
    inference(resolution,[status(thm)],[c_2647,c_51]) ).

cnf(c_3253,plain,
    ( ~ coll(sK26,sK22,sK20)
    | coll(sK20,sK26,sK26) ),
    inference(instantiation,[status(thm)],[c_3252]) ).

cnf(c_3294,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK26,sK20,sK25) ),
    inference(superposition,[status(thm)],[c_3120,c_72]) ).

cnf(c_3317,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK22,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_3121,c_72]) ).

cnf(c_3552,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK24,sK20,sK22)
    | cong(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_1518,c_71]) ).

cnf(c_3554,plain,
    ( ~ coll(sK24,sK20,sK22)
    | ~ midp(sK20,sK20,sK22)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_3552]) ).

cnf(c_3632,plain,
    ( ~ coll(sK24,X0,sK20)
    | ~ coll(sK24,X0,sK25)
    | coll(sK20,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_3633,plain,
    ( ~ coll(sK24,sK20,sK20)
    | ~ coll(sK24,sK20,sK25)
    | coll(sK20,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_3632]) ).

cnf(c_3713,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,sK20,sK25) ),
    inference(superposition,[status(thm)],[c_3294,c_1688]) ).

cnf(c_3725,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK21,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_3317,c_1689]) ).

cnf(c_4016,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK24)
    | ~ perp(sK20,sK24,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(sK11(sK20,sK25,sK27,sK24),sK20,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_1217]) ).

cnf(c_4021,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK24,sK20)
    | ~ perp(sK24,sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(sK24,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_1236]) ).

cnf(c_4115,plain,
    ( ~ perp(X0,X1,sK23,sK20)
    | para(X0,X1,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_57,c_169]) ).

cnf(c_4121,plain,
    ( ~ perp(X0,X1,sK25,sK26)
    | para(X0,X1,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_57,c_1671]) ).

cnf(c_4184,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_4188,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_4184]) ).

cnf(c_4250,plain,
    ( ~ coll(sK24,sK25,X0)
    | coll(sK24,X0,sK25) ),
    inference(instantiation,[status(thm)],[c_1540]) ).

cnf(c_4255,plain,
    ( ~ coll(sK24,sK25,sK20)
    | coll(sK24,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_4250]) ).

cnf(c_4479,plain,
    ( ~ coll(X0,sK20,sK24)
    | ~ coll(X0,sK20,sK25)
    | coll(sK24,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_1487]) ).

cnf(c_4484,plain,
    ( ~ coll(sK20,sK20,sK24)
    | ~ coll(sK20,sK20,sK25)
    | coll(sK24,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_4479]) ).

cnf(c_4552,plain,
    coll(sK20,sK25,sK22),
    inference(superposition,[status(thm)],[c_2910,c_49]) ).

cnf(c_4631,plain,
    ( ~ coll(sK22,X0,sK22)
    | ~ midp(sK20,X0,sK20)
    | midp(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_2942,c_94]) ).

cnf(c_4637,plain,
    ( ~ coll(sK22,sK20,sK22)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_4631]) ).

cnf(c_4709,plain,
    ( ~ coll(X0,sK25,X1)
    | ~ coll(X0,sK25,sK24)
    | coll(sK24,X1,X0) ),
    inference(instantiation,[status(thm)],[c_1541]) ).

cnf(c_5160,plain,
    ( ~ para(X0,X1,sK20,sK22)
    | perp(X0,X1,sK25,sK26) ),
    inference(resolution,[status(thm)],[c_58,c_164]) ).

cnf(c_5162,plain,
    ( ~ para(X0,X1,sK23,sK20)
    | perp(X0,X1,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_58,c_169]) ).

cnf(c_5164,plain,
    ( ~ para(X0,X1,sK20,sK22)
    | perp(X0,X1,sK26,sK25) ),
    inference(resolution,[status(thm)],[c_58,c_1634]) ).

cnf(c_5168,plain,
    ( ~ para(X0,X1,sK25,sK26)
    | perp(X0,X1,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_58,c_1671]) ).

cnf(c_5170,plain,
    ( ~ para(X0,X1,sK21,sK22)
    | perp(X0,X1,sK23,sK20) ),
    inference(resolution,[status(thm)],[c_58,c_1672]) ).

cnf(c_5174,plain,
    ( ~ para(X0,X1,sK22,sK21)
    | perp(X0,X1,sK23,sK20) ),
    inference(resolution,[status(thm)],[c_58,c_1674]) ).

cnf(c_5176,plain,
    ( ~ para(X0,X1,sK25,sK26)
    | perp(X0,X1,sK22,sK20) ),
    inference(resolution,[status(thm)],[c_58,c_1724]) ).

cnf(c_5320,plain,
    ( ~ para(sK11(sK20,sK25,sK27,sK24),sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_5437,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK20,sK22)
    | para(X0,X1,sK25,sK26) ),
    inference(resolution,[status(thm)],[c_5160,c_57]) ).

cnf(c_5462,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK23,sK20)
    | para(X0,X1,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_5162,c_57]) ).

cnf(c_5520,plain,
    ( ~ para(X0,X1,sK20,sK22)
    | perp(sK26,sK25,X0,X1) ),
    inference(resolution,[status(thm)],[c_5164,c_56]) ).

cnf(c_5593,plain,
    ( ~ para(X0,X1,sK25,sK26)
    | perp(sK20,sK22,X0,X1) ),
    inference(resolution,[status(thm)],[c_5168,c_56]) ).

cnf(c_5595,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK25,sK26)
    | para(X0,X1,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_5168,c_57]) ).

cnf(c_5597,plain,
    ( ~ para(sK20,sK20,sK25,sK26)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_5595]) ).

cnf(c_5629,plain,
    ( ~ para(X0,X1,sK21,sK22)
    | perp(sK23,sK20,X0,X1) ),
    inference(resolution,[status(thm)],[c_5170,c_56]) ).

cnf(c_5809,plain,
    ( ~ coll(sK22,sK23,X0)
    | ~ coll(sK22,sK23,sK20)
    | coll(X0,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_1510]) ).

cnf(c_5810,plain,
    ( ~ coll(sK22,sK23,sK20)
    | coll(sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_5809]) ).

cnf(c_5812,plain,
    ( ~ coll(sK20,sK25,sK22)
    | coll(sK25,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_1539]) ).

cnf(c_6239,plain,
    ( ~ para(sK22,sK20,sK23,sK20)
    | para(sK25,sK26,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_5462,c_1724]) ).

cnf(c_6245,plain,
    ( ~ para(sK22,sK20,sK23,sK20)
    | para(sK26,sK25,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_5462,c_1770]) ).

cnf(c_6949,plain,
    ( ~ para(X0,X1,sK22,sK21)
    | ~ para(sK23,sK20,sK20,sK22)
    | para(X0,X1,sK25,sK26) ),
    inference(resolution,[status(thm)],[c_5174,c_5437]) ).

cnf(c_6951,plain,
    ( ~ para(sK20,sK20,sK22,sK21)
    | ~ para(sK23,sK20,sK20,sK22)
    | para(sK20,sK20,sK25,sK26) ),
    inference(instantiation,[status(thm)],[c_6949]) ).

cnf(c_6987,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK25,sK26)
    | para(X0,X1,sK22,sK20) ),
    inference(resolution,[status(thm)],[c_5176,c_57]) ).

cnf(c_6989,plain,
    ( ~ para(sK20,sK20,sK25,sK26)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6987]) ).

cnf(c_7134,plain,
    ( ~ para(sK23,sK20,sK20,sK22)
    | para(sK26,sK25,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_5520,c_4115]) ).

cnf(c_7217,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_169,c_56]) ).

cnf(c_7225,plain,
    perp(sK21,sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_7217,c_55]) ).

cnf(c_7574,plain,
    ( ~ coll(sK24,sK20,sK22)
    | para(sK20,sK21,sK20,sK23) ),
    inference(superposition,[status(thm)],[c_7225,c_1514]) ).

cnf(c_7733,plain,
    ( ~ coll(sK21,X0,sK23)
    | ~ midp(sK20,X0,sK20)
    | ~ coll(sK24,sK20,sK22)
    | midp(sK21,X0,sK23) ),
    inference(superposition,[status(thm)],[c_7574,c_94]) ).

cnf(c_7736,plain,
    ( ~ coll(sK24,sK20,sK22)
    | ~ coll(sK21,sK20,sK23)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK21,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_7733]) ).

cnf(c_7855,plain,
    ( ~ midp(sK21,sK20,sK23)
    | cong(sK22,sK20,sK22,sK23) ),
    inference(superposition,[status(thm)],[c_1031,c_104]) ).

cnf(c_8309,plain,
    ( ~ coll(sK22,sK20,sK23)
    | ~ midp(sK21,sK20,sK23)
    | midp(sK22,sK20,sK23) ),
    inference(superposition,[status(thm)],[c_7855,c_116]) ).

cnf(c_8505,plain,
    ( ~ para(X0,X1,sK20,sK22)
    | ~ para(X0,X1,sK25,sK26)
    | para(sK20,sK22,sK25,sK26) ),
    inference(resolution,[status(thm)],[c_5593,c_5437]) ).

cnf(c_8508,plain,
    ( ~ para(sK20,sK20,sK20,sK22)
    | ~ para(sK20,sK20,sK25,sK26)
    | para(sK20,sK22,sK25,sK26) ),
    inference(instantiation,[status(thm)],[c_8505]) ).

cnf(c_8667,plain,
    ( ~ coll(sK24,X0,X1)
    | ~ coll(sK24,X0,sK20)
    | coll(X1,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_8668,plain,
    ( ~ coll(sK24,sK20,sK20)
    | coll(sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_8667]) ).

cnf(c_8863,plain,
    ( ~ para(X0,X1,sK23,sK20)
    | ~ para(X0,X1,sK21,sK22)
    | para(sK23,sK20,sK21,sK22) ),
    inference(resolution,[status(thm)],[c_5629,c_5462]) ).

cnf(c_8864,plain,
    ( ~ para(sK20,sK20,sK23,sK20)
    | ~ para(sK20,sK20,sK21,sK22)
    | para(sK23,sK20,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_8863]) ).

cnf(c_8873,plain,
    ( ~ para(sK25,sK26,sK21,sK22)
    | para(sK23,sK20,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_5629,c_4121]) ).

cnf(c_9910,plain,
    ( ~ coll(sK22,sK23,sK20)
    | ~ midp(sK21,sK23,sK20)
    | midp(sK22,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_1369,c_116]) ).

cnf(c_10004,plain,
    ( ~ perp(sK24,sK20,sK20,X0)
    | eqangle(sK20,X0,sK20,sK21,sK22,sK20,sK22,sK21) ),
    inference(resolution,[status(thm)],[c_97,c_167]) ).

cnf(c_10148,plain,
    ( ~ midp(sK22,sK20,sK23)
    | cong(sK21,sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_1371,c_72]) ).

cnf(c_10164,plain,
    ( ~ perp(sK24,sK20,sK20,X0)
    | eqangle(sK20,sK21,sK20,X0,sK22,sK21,sK22,sK20) ),
    inference(resolution,[status(thm)],[c_10004,c_67]) ).

cnf(c_10249,plain,
    ( ~ perp(sK24,sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | ~ circle(sK24,sK20,sK21,sK22)
    | eqangle(sK20,sK11(sK20,sK25,sK27,sK24),sK20,sK21,sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_398]) ).

cnf(c_10455,plain,
    ( ~ perp(sK24,sK20,sK20,sK20)
    | cyclic(sK21,sK20,sK20,sK22)
    | coll(sK20,sK22,sK21) ),
    inference(resolution,[status(thm)],[c_10164,c_90]) ).

cnf(c_11214,plain,
    ( ~ para(sK24,sK20,sK24,sK20)
    | coll(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_12027,plain,
    ( ~ eqangle(sK20,sK11(sK20,sK25,sK27,sK24),sK20,sK21,sK22,sK20,sK22,sK21)
    | ~ circle(X0,sK20,sK21,sK22)
    | perp(X0,sK20,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_98]) ).

cnf(c_12028,plain,
    ( ~ eqangle(sK20,sK11(sK20,sK25,sK27,sK24),sK20,sK21,sK22,sK20,sK22,sK21)
    | ~ circle(sK20,sK20,sK21,sK22)
    | perp(sK20,sK20,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_12027]) ).

cnf(c_12166,plain,
    ( ~ para(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | ~ perp(sK20,sK11(sK20,sK25,sK27,sK24),X0,X1)
    | perp(sK11(sK20,sK25,sK27,sK24),sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_12172,plain,
    ( ~ para(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | ~ para(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(X0,X1,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_12173,plain,
    ( ~ para(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | ~ para(sK20,sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(sK20,sK20,sK20,sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_12172]) ).

cnf(c_12372,plain,
    ( ~ coll(X0,sK20,sK22)
    | coll(X0,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_12373,plain,
    ( ~ coll(sK20,sK20,sK22)
    | coll(sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_12372]) ).

cnf(c_12459,plain,
    ( ~ para(X0,X1,X0,X2)
    | ~ cyclic(X1,X3,X0,X0)
    | ~ cyclic(X1,X3,X0,X2)
    | ~ cyclic(X1,X3,X0,X3)
    | cong(X1,X3,X2,X3) ),
    inference(superposition,[status(thm)],[c_88,c_92]) ).

cnf(c_12468,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ cyclic(sK20,sK20,sK20,sK20)
    | cong(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_12459]) ).

cnf(c_13087,plain,
    coll(sK20,sK22,sK21),
    inference(global_subsumption_just,[status(thm)],[c_10455,c_782,c_1101,c_2005,c_2220]) ).

cnf(c_13095,plain,
    ( ~ coll(sK20,sK22,X0)
    | coll(X0,sK21,sK20) ),
    inference(resolution,[status(thm)],[c_13087,c_51]) ).

cnf(c_13096,plain,
    ( ~ coll(sK20,sK22,sK20)
    | coll(sK20,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_13095]) ).

cnf(c_14363,plain,
    ( ~ perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,X0,X1),sK11(sK20,sK25,sK27,sK24),X0,X1)
    | perp(X0,X1,sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,X0,X1),sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_14365,plain,
    ( ~ perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,sK20,sK20),sK11(sK20,sK25,sK27,sK24),sK20,sK20)
    | perp(sK20,sK20,sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,sK20,sK20),sK11(sK20,sK25,sK27,sK24)) ),
    inference(instantiation,[status(thm)],[c_14363]) ).

cnf(c_14366,plain,
    ( ~ perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,X0,X1),sK11(sK20,sK25,sK27,sK24),X0,X1)
    | ~ perp(X2,X3,sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,X0,X1),sK11(sK20,sK25,sK27,sK24))
    | para(X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_14367,plain,
    ( ~ perp(sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,sK20,sK20),sK11(sK20,sK25,sK27,sK24),sK20,sK20)
    | ~ perp(sK20,sK20,sK16(sK11(sK20,sK25,sK27,sK24),sK24,sK20,sK20,sK20),sK11(sK20,sK25,sK27,sK24))
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_14366]) ).

cnf(c_15307,plain,
    ( ~ perp(X0,X1,sK20,sK11(sK20,sK25,sK27,sK24))
    | perp(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_15308,plain,
    ( ~ perp(sK20,sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | perp(sK20,sK20,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_15307]) ).

cnf(c_15644,plain,
    ( ~ perp(sK23,sK20,X0,X1)
    | perp(X0,X1,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_15645,plain,
    ( ~ perp(sK23,sK20,sK20,sK20)
    | perp(sK20,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_15644]) ).

cnf(c_15663,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,X0,X1)
    | perp(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_15846,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK23,sK20)
    | para(X0,X1,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_15847,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ perp(sK20,sK20,sK23,sK20)
    | para(sK20,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_15846]) ).

cnf(c_16197,plain,
    ( ~ perp(X0,X1,sK11(sK20,sK25,sK27,sK24),sK20)
    | ~ perp(X2,X3,X0,X1)
    | para(X2,X3,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_16198,plain,
    ( ~ perp(sK20,sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_16197]) ).

cnf(c_16506,plain,
    coll(sK21,sK20,sK23),
    inference(superposition,[status(thm)],[c_1294,c_50]) ).

cnf(c_16521,plain,
    coll(sK21,sK23,sK20),
    inference(superposition,[status(thm)],[c_16506,c_49]) ).

cnf(c_16536,plain,
    perp(sK25,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_16537,plain,
    perp(sK21,sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_169,c_56]) ).

cnf(c_16543,plain,
    perp(sK25,sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_16536,c_55]) ).

cnf(c_16545,plain,
    perp(sK21,sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_16537,c_55]) ).

cnf(c_16675,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_16676,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK21,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_169,c_104]) ).

cnf(c_16680,plain,
    ( ~ midp(sK22,sK23,sK20)
    | cong(sK21,sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_16537,c_104]) ).

cnf(c_16690,plain,
    ( ~ perp(sK25,sK26,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_16711,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK26,sK20,sK25) ),
    inference(superposition,[status(thm)],[c_16675,c_72]) ).

cnf(c_16714,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK22,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_16676,c_72]) ).

cnf(c_16717,plain,
    para(sK20,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_16543,c_16690]) ).

cnf(c_16862,plain,
    ( ~ coll(sK24,sK20,sK22)
    | para(sK20,sK21,sK20,sK23) ),
    inference(superposition,[status(thm)],[c_16545,c_1514]) ).

cnf(c_17022,plain,
    coll(sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_1706,c_49]) ).

cnf(c_17027,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK20,X0,sK22)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_16717,c_94]) ).

cnf(c_17474,plain,
    ( ~ cong(sK20,sK25,sK20,X0)
    | ~ cong(sK20,sK25,sK20,X1)
    | ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,X0,sK26,X1) ),
    inference(superposition,[status(thm)],[c_16675,c_61]) ).

cnf(c_17475,plain,
    ( ~ cong(sK23,sK21,sK23,X0)
    | ~ cong(sK23,sK21,sK23,X1)
    | ~ midp(sK20,sK21,sK22)
    | cyclic(sK21,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_16676,c_61]) ).

cnf(c_17768,plain,
    ( ~ midp(sK22,sK20,sK23)
    | cong(sK21,sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_1371,c_72]) ).

cnf(c_17972,plain,
    ( ~ cong(sK21,sK23,sK21,X0)
    | ~ midp(sK22,sK20,sK23)
    | circle(sK21,sK23,X0,sK20) ),
    inference(superposition,[status(thm)],[c_17768,c_60]) ).

cnf(c_17973,plain,
    ( ~ coll(sK21,sK23,sK20)
    | ~ midp(sK22,sK20,sK23)
    | midp(sK21,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_17768,c_116]) ).

cnf(c_17982,plain,
    ( ~ cong(sK21,sK23,sK21,sK20)
    | ~ midp(sK22,sK20,sK23)
    | circle(sK21,sK23,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_17972]) ).

cnf(c_18184,plain,
    ( ~ cong(sK20,sK25,sK20,X0)
    | ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,sK25,sK26,X0) ),
    inference(superposition,[status(thm)],[c_3713,c_17474]) ).

cnf(c_18327,plain,
    ( ~ cong(sK23,sK21,sK23,X0)
    | ~ midp(sK20,sK21,sK22)
    | cyclic(sK21,sK21,sK22,X0) ),
    inference(superposition,[status(thm)],[c_3725,c_17475]) ).

cnf(c_18345,plain,
    ( ~ coll(sK24,sK20,sK22)
    | para(sK20,sK23,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_16862,c_53]) ).

cnf(c_18625,plain,
    ( ~ coll(sK23,X0,sK21)
    | ~ midp(sK20,X0,sK20)
    | ~ coll(sK24,sK20,sK22)
    | midp(sK23,X0,sK21) ),
    inference(superposition,[status(thm)],[c_18345,c_94]) ).

cnf(c_18634,plain,
    ( ~ coll(sK24,sK20,sK22)
    | ~ coll(sK23,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK23,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_18625]) ).

cnf(c_18781,plain,
    ( ~ coll(sK23,sK21,X0)
    | coll(sK26,X0,sK23) ),
    inference(superposition,[status(thm)],[c_1062,c_51]) ).

cnf(c_18922,plain,
    coll(sK23,sK21,sK20),
    inference(superposition,[status(thm)],[c_16521,c_50]) ).

cnf(c_18985,plain,
    coll(sK26,sK20,sK23),
    inference(superposition,[status(thm)],[c_18922,c_18781]) ).

cnf(c_18992,plain,
    coll(sK20,sK26,sK23),
    inference(superposition,[status(thm)],[c_18985,c_50]) ).

cnf(c_19076,plain,
    ( ~ para(sK21,sK22,X0,X1)
    | para(X0,X1,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_19077,plain,
    ( ~ para(sK21,sK22,sK20,sK20)
    | para(sK20,sK20,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_19076]) ).

cnf(c_19080,plain,
    ( ~ para(sK22,sK21,X0,X1)
    | para(X0,X1,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_19081,plain,
    ( ~ para(sK22,sK21,sK20,sK20)
    | para(sK20,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_19080]) ).

cnf(c_19233,plain,
    ( ~ coll(sK20,sK25,sK24)
    | ~ coll(sK20,sK25,sK22)
    | coll(sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_4709]) ).

cnf(c_20584,plain,
    ( ~ midp(sK20,sK23,sK22)
    | midp(sK22,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_17022,c_17027]) ).

cnf(c_20997,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK23,sK20)
    | perp(X0,X1,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_21360,plain,
    coll(sK20,sK23,sK26),
    inference(superposition,[status(thm)],[c_18992,c_49]) ).

cnf(c_22010,plain,
    midp(sK22,sK23,sK20),
    inference(global_subsumption_just,[status(thm)],[c_20584,c_165,c_166,c_175,c_359,c_376,c_417,c_624,c_630,c_761,c_782,c_809,c_913,c_1101,c_1234,c_2208,c_2220,c_3023,c_3633,c_4021,c_4188,c_4255,c_4484,c_4552,c_7736,c_8309,c_8668,c_9910,c_11214,c_12468,c_14365,c_14367,c_17973,c_19233]) ).

cnf(c_22015,plain,
    midp(sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_22010,c_59]) ).

cnf(c_22187,plain,
    ( ~ cong(sK21,sK23,sK21,X0)
    | circle(sK21,sK23,X0,sK20) ),
    inference(global_subsumption_just,[status(thm)],[c_1963,c_165,c_166,c_175,c_359,c_376,c_417,c_624,c_630,c_761,c_782,c_809,c_913,c_1101,c_1234,c_1963,c_2208,c_2220,c_3023,c_3633,c_4021,c_4188,c_4255,c_4484,c_4552,c_7736,c_8309,c_8668,c_9910,c_11214,c_12468,c_14365,c_14367,c_17973,c_19233]) ).

cnf(c_22193,plain,
    ( ~ midp(sK22,sK23,sK20)
    | circle(sK21,sK23,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_16680,c_22187]) ).

cnf(c_22248,plain,
    circle(sK21,sK23,sK20,sK20),
    inference(global_subsumption_just,[status(thm)],[c_22193,c_165,c_166,c_175,c_359,c_376,c_417,c_624,c_630,c_761,c_782,c_809,c_913,c_1101,c_1234,c_2208,c_3633,c_4021,c_4188,c_4255,c_4484,c_4552,c_7736,c_8309,c_8668,c_10148,c_11214,c_12468,c_14365,c_14367,c_17982,c_19233]) ).

cnf(c_22250,plain,
    ( ~ coll(sK21,sK23,sK20)
    | perp(sK23,sK20,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_22248,c_102]) ).

cnf(c_22838,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK26,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_16675,c_2187]) ).

cnf(c_22907,plain,
    ( ~ cong(sK20,sK26,sK20,X0)
    | ~ midp(sK22,sK25,sK26)
    | circle(sK20,sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_22838,c_60]) ).

cnf(c_23122,plain,
    ( ~ coll(sK20,sK23,X0)
    | coll(sK26,X0,sK20) ),
    inference(superposition,[status(thm)],[c_21360,c_51]) ).

cnf(c_23126,plain,
    ( ~ coll(sK20,sK23,sK20)
    | coll(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_23122]) ).

cnf(c_23198,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cong(sK23,sK22,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_16676,c_2230]) ).

cnf(c_23221,plain,
    ( ~ cong(sK23,sK22,sK23,X0)
    | ~ midp(sK20,sK21,sK22)
    | circle(sK23,sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_23198,c_60]) ).

cnf(c_23273,plain,
    ( ~ cong(X0,sK20,X0,sK22)
    | ~ cong(X0,sK20,X0,sK21)
    | circle(X0,sK20,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_23274,plain,
    ( ~ cong(sK20,sK20,sK20,sK22)
    | ~ cong(sK20,sK20,sK20,sK21)
    | circle(sK20,sK20,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_23273]) ).

cnf(c_23660,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK22,X0,sK23,X1) ),
    inference(superposition,[status(thm)],[c_22015,c_93]) ).

cnf(c_23663,plain,
    ( ~ midp(sK20,sK20,sK20)
    | para(sK22,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_23660]) ).

cnf(c_23817,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,sK25,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_16675,c_18184]) ).

cnf(c_23826,plain,
    ( ~ cong(sK25,sK26,sK25,sK26)
    | ~ midp(sK22,sK25,sK26)
    | perp(sK26,sK25,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_23817,c_106]) ).

cnf(c_23836,plain,
    ( ~ midp(sK20,sK21,sK22)
    | cyclic(sK21,sK21,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_16676,c_18327]) ).

cnf(c_23844,plain,
    ( ~ cong(sK21,sK22,sK21,sK22)
    | ~ midp(sK20,sK21,sK22)
    | perp(sK22,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_23836,c_106]) ).

cnf(c_23853,plain,
    ( ~ midp(sK22,sK25,sK26)
    | circle(sK20,sK26,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_16711,c_22907]) ).

cnf(c_23914,plain,
    ( ~ coll(sK20,sK26,sK26)
    | ~ midp(sK22,sK25,sK26)
    | perp(sK26,sK25,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_23853,c_102]) ).

cnf(c_24028,plain,
    ( ~ midp(sK20,sK21,sK22)
    | circle(sK23,sK22,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_16714,c_23221]) ).

cnf(c_24033,plain,
    ( ~ coll(sK23,sK22,sK22)
    | ~ midp(sK20,sK21,sK22)
    | perp(sK22,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_24028,c_102]) ).

cnf(c_24086,plain,
    ( ~ midp(sK22,sK25,sK26)
    | perp(sK26,sK25,sK25,sK26) ),
    inference(global_subsumption_just,[status(thm)],[c_23826,c_655,c_2214,c_2325,c_3018,c_3253,c_23914]) ).

cnf(c_24098,plain,
    ( ~ midp(sK22,sK25,sK26)
    | para(sK20,sK22,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_24086,c_1406]) ).

cnf(c_24270,plain,
    para(sK20,sK22,sK25,sK26),
    inference(global_subsumption_just,[status(thm)],[c_24098,c_166,c_175,c_184,c_376,c_624,c_630,c_761,c_782,c_809,c_1101,c_1234,c_1416,c_2220,c_4021,c_4188,c_5597,c_6239,c_6951,c_8508,c_8873,c_11214,c_12468,c_14365,c_14367,c_19081,c_22250,c_23663]) ).

cnf(c_24276,plain,
    para(sK25,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_24270,c_53]) ).

cnf(c_24307,plain,
    ( ~ midp(sK20,sK21,sK22)
    | perp(sK22,sK21,sK21,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_23844,c_712,c_24033]) ).

cnf(c_24320,plain,
    ( ~ midp(sK20,sK21,sK22)
    | para(sK23,sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_24307,c_1407]) ).

cnf(c_24446,plain,
    para(sK23,sK20,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_24320,c_166,c_184,c_376,c_624,c_630,c_761,c_782,c_809,c_1101,c_1234,c_1418,c_2220,c_4021,c_4188,c_8864,c_11214,c_12468,c_14365,c_14367,c_15645,c_15847,c_19077,c_22250]) ).

cnf(c_24449,plain,
    ( ~ coll(sK20,X0,sK22)
    | ~ midp(sK23,X0,sK21)
    | midp(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_24446,c_94]) ).

cnf(c_24456,plain,
    ( ~ coll(sK20,sK20,sK22)
    | ~ midp(sK23,sK20,sK21)
    | midp(sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_24449]) ).

cnf(c_25546,plain,
    para(sK25,sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_24276,c_52]) ).

cnf(c_25643,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK24,sK20)
    | ~ perp(sK23,sK20,sK11(sK20,sK25,sK27,sK24),sK20)
    | para(sK23,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_1236]) ).

cnf(c_25774,plain,
    ( ~ para(sK11(sK20,sK25,sK27,sK24),sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | ~ perp(sK20,sK11(sK20,sK25,sK27,sK24),sK23,sK20)
    | perp(sK11(sK20,sK25,sK27,sK24),sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_12166]) ).

cnf(c_26104,plain,
    ( ~ coll(sK26,X0,sK20)
    | ~ midp(sK25,X0,sK22)
    | midp(sK26,X0,sK20) ),
    inference(superposition,[status(thm)],[c_25546,c_94]) ).

cnf(c_26111,plain,
    ( ~ coll(sK26,sK20,sK20)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_26104]) ).

cnf(c_32246,plain,
    ( ~ para(sK20,sK11(sK20,sK25,sK27,sK24),X0,X1)
    | ~ perp(X0,X1,sK23,sK20)
    | perp(sK20,sK11(sK20,sK25,sK27,sK24),sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_20997]) ).

cnf(c_32249,plain,
    ( ~ para(sK20,sK11(sK20,sK25,sK27,sK24),sK20,sK20)
    | ~ perp(sK20,sK20,sK23,sK20)
    | perp(sK20,sK11(sK20,sK25,sK27,sK24),sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_32246]) ).

cnf(c_34159,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK22,sK20,sK20,sK26)
    | ~ eqangle(sK24,sK20,sK20,sK23,X0,X1,X2,X3)
    | eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_34857,plain,
    perp(sK25,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_35017,plain,
    ( ~ coll(sK24,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_167,c_102]) ).

cnf(c_35019,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cong(sK20,sK25,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_35061,plain,
    perp(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_35017,c_165,c_167,c_166,c_359,c_375,c_376,c_417,c_624,c_1234,c_2208,c_3633,c_4021,c_4255,c_4484,c_4552,c_8668,c_11214,c_19233]) ).

cnf(c_35067,plain,
    ( ~ midp(X0,sK20,sK22)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_35061,c_101]) ).

cnf(c_35110,plain,
    ( ~ midp(X0,sK20,sK22)
    | cong(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_35067,c_71]) ).

cnf(c_35908,plain,
    ( ~ cong(sK20,sK25,sK20,X0)
    | ~ cong(sK20,sK25,sK20,X1)
    | ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,X0,sK26,X1) ),
    inference(superposition,[status(thm)],[c_35019,c_61]) ).

cnf(c_35984,plain,
    ( ~ cong(sK20,sK25,sK20,X0)
    | ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,sK26,sK26,X0) ),
    inference(superposition,[status(thm)],[c_35019,c_35908]) ).

cnf(c_35989,plain,
    ( ~ midp(sK22,sK25,sK26)
    | cyclic(sK25,sK26,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_35019,c_35984]) ).

cnf(c_35992,plain,
    ( ~ cong(sK25,sK26,sK26,sK26)
    | ~ midp(sK22,sK25,sK26)
    | perp(sK26,sK25,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_35989,c_106]) ).

cnf(c_36853,plain,
    ( ~ midp(X0,sK20,sK22)
    | cong(X0,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_35110,c_72]) ).

cnf(c_37112,plain,
    ( ~ coll(sK20,sK21,sK20)
    | ~ midp(sK20,sK20,sK22)
    | midp(sK20,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_36853,c_116]) ).

cnf(c_38914,plain,
    ( ~ midp(sK22,sK25,sK26)
    | perp(sK26,sK25,sK25,sK26) ),
    inference(global_subsumption_just,[status(thm)],[c_35992,c_655,c_2214,c_2325,c_3018,c_3253,c_23914]) ).

cnf(c_38926,plain,
    ( ~ midp(sK22,sK25,sK26)
    | para(sK20,sK22,sK25,sK26) ),
    inference(superposition,[status(thm)],[c_38914,c_1406]) ).

cnf(c_39001,plain,
    para(sK20,sK22,sK25,sK26),
    inference(global_subsumption_just,[status(thm)],[c_38926,c_166,c_175,c_184,c_376,c_624,c_630,c_761,c_782,c_809,c_1101,c_1234,c_1416,c_2220,c_4021,c_4188,c_5597,c_6239,c_6951,c_8508,c_8873,c_11214,c_12468,c_14365,c_14367,c_19081,c_22250,c_23663]) ).

cnf(c_39005,plain,
    ( ~ perp(sK25,sK26,X0,X1)
    | perp(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_39001,c_58]) ).

cnf(c_40982,plain,
    perp(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_34857,c_39005]) ).

cnf(c_40991,plain,
    ( ~ midp(sK22,sK20,sK22)
    | cong(sK20,sK20,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_40982,c_104]) ).

cnf(c_42015,plain,
    ( ~ eqangle(sK23,sK20,sK24,sK20,X0,X1,X2,X3)
    | eqangle(sK20,sK23,sK24,sK20,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_42016,plain,
    ( ~ eqangle(sK23,sK20,sK24,sK20,sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK23,sK24,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_42015]) ).

cnf(c_45424,plain,
    ( ~ perp(sK11(sK20,sK25,sK27,sK24),sK20,sK23,sK20)
    | perp(sK23,sK20,sK11(sK20,sK25,sK27,sK24),sK20) ),
    inference(instantiation,[status(thm)],[c_15663]) ).

cnf(c_48445,plain,
    para(sK26,sK25,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_7134,c_166,c_175,c_376,c_624,c_630,c_761,c_809,c_1234,c_4021,c_4188,c_6245,c_11214,c_12468,c_14365,c_14367,c_23663]) ).

cnf(c_48454,plain,
    ( ~ coll(sK25,X0,sK22)
    | ~ midp(sK26,X0,sK21)
    | midp(sK25,X0,sK22) ),
    inference(resolution,[status(thm)],[c_48445,c_94]) ).

cnf(c_48455,plain,
    ( ~ coll(sK25,sK20,sK22)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK25,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_48454]) ).

cnf(c_49265,plain,
    ( ~ para(X0,X1,sK20,sK11(sK20,sK25,sK27,sK24))
    | para(sK20,sK11(sK20,sK25,sK27,sK24),X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_49266,plain,
    ( ~ para(sK20,sK20,sK20,sK11(sK20,sK25,sK27,sK24))
    | para(sK20,sK11(sK20,sK25,sK27,sK24),sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_49265]) ).

cnf(c_49665,plain,
    ( ~ eqangle(X0,X1,sK20,sK26,sK22,sK20,sK20,sK26)
    | ~ eqangle(sK24,sK20,sK20,sK23,X0,X1,sK20,sK26)
    | eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_34159]) ).

cnf(c_49666,plain,
    ( ~ para(X0,X1,sK22,sK20)
    | eqangle(X0,X1,sK20,sK26,sK22,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_49667,plain,
    ( ~ eqangle(sK24,sK20,sK20,sK23,sK20,sK20,sK20,sK26)
    | ~ eqangle(sK20,sK20,sK20,sK26,sK22,sK20,sK20,sK26)
    | eqangle(sK24,sK20,sK20,sK23,sK22,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_49665]) ).

cnf(c_49668,plain,
    ( ~ para(sK20,sK20,sK22,sK20)
    | eqangle(sK20,sK20,sK20,sK26,sK22,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_49666]) ).

cnf(c_52058,plain,
    ( ~ para(X0,sK26,X1,sK26)
    | ~ midp(X0,sK21,X1)
    | ~ coll(sK26,sK21,sK26)
    | midp(sK26,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_52059,plain,
    ( ~ para(sK20,sK26,sK20,sK26)
    | ~ coll(sK26,sK21,sK26)
    | ~ midp(sK20,sK21,sK20)
    | midp(sK26,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_52058]) ).

cnf(c_52495,plain,
    ( ~ midp(sK26,sK26,sK21)
    | para(sK26,sK26,sK26,sK21) ),
    inference(instantiation,[status(thm)],[c_2150]) ).

cnf(c_52605,plain,
    ( ~ para(X0,sK26,X1,X2)
    | ~ midp(X0,X3,X1)
    | ~ coll(sK26,X3,X2)
    | midp(sK26,X3,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_54583,plain,
    ( ~ eqangle(sK20,sK23,sK24,sK20,sK20,sK26,X0,X1)
    | eqangle(sK24,sK20,sK20,sK23,X0,X1,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_54584,plain,
    ( ~ eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK20,sK20)
    | eqangle(sK24,sK20,sK20,sK23,sK20,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_54583]) ).

cnf(c_54624,plain,
    ( ~ para(sK20,sK26,X0,X1)
    | para(X0,X1,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_54625,plain,
    ( ~ para(sK20,sK26,sK20,sK20)
    | para(sK20,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_54624]) ).

cnf(c_54627,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK20,sK26,X2,X3)
    | para(X0,X1,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_56275,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK26,X1,X3)
    | para(X0,sK26,X2,X3) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_56276,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | para(sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_56275]) ).

cnf(c_58163,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK20,sK26,X4,X5)
    | ~ eqangle(sK20,sK23,sK24,sK20,X0,X1,X2,X3)
    | eqangle(sK20,sK23,sK24,sK20,sK20,sK26,X4,X5) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_58164,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK26,sK20,sK20)
    | ~ eqangle(sK20,sK23,sK24,sK20,sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK23,sK24,sK20,sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_58163]) ).

cnf(c_59201,plain,
    ( ~ para(sK23,sK20,sK24,sK20)
    | eqangle(sK23,sK20,sK24,sK20,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_2335]) ).

cnf(c_59202,plain,
    ( ~ para(sK23,sK20,sK24,sK20)
    | eqangle(sK23,sK20,sK24,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_59201]) ).

cnf(c_59442,plain,
    ( ~ para(X0,X1,sK20,sK26)
    | eqangle(X0,X1,X2,X3,sK20,sK26,X2,X3) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_59443,plain,
    ( ~ para(sK20,sK20,sK20,sK26)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_59442]) ).

cnf(c_59444,plain,
    ( ~ eqangle(sK20,sK26,sK20,X0,sK20,sK26,sK20,X0)
    | para(sK20,sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_54627]) ).

cnf(c_59446,plain,
    ( ~ eqangle(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20)
    | para(sK20,sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_59444]) ).

cnf(c_59463,plain,
    ( ~ para(X0,X1,X0,X1)
    | eqangle(sK20,sK26,X0,X1,sK20,sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_2306]) ).

cnf(c_59464,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK26,sK20,sK20,sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_59463]) ).

cnf(c_60425,plain,
    ( ~ para(X0,sK26,X0,sK26)
    | ~ midp(X0,X1,X0)
    | ~ coll(sK26,X1,sK26)
    | midp(sK26,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_52605]) ).

cnf(c_60427,plain,
    ( ~ para(sK20,sK26,sK20,sK26)
    | ~ coll(sK26,sK20,sK26)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_60425]) ).

cnf(c_64248,plain,
    ( ~ para(sK26,sK26,sK26,sK21)
    | ~ coll(sK26,X0,sK21)
    | ~ midp(sK26,X0,sK26)
    | midp(sK26,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_52605]) ).

cnf(c_64250,plain,
    ( ~ para(sK26,sK26,sK26,sK21)
    | ~ coll(sK26,sK20,sK21)
    | ~ midp(sK26,sK20,sK26)
    | midp(sK26,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_64248]) ).

cnf(c_64251,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_64250,c_60427,c_59464,c_59446,c_59443,c_59202,c_58164,c_56276,c_54625,c_54584,c_52495,c_52059,c_49668,c_49667,c_49266,c_48455,c_45424,c_42016,c_40991,c_37112,c_32249,c_26111,c_25774,c_25643,c_24456,c_23663,c_23274,c_23126,c_22250,c_19233,c_19081,c_18634,c_16198,c_15645,c_15308,c_14367,c_14365,c_13096,c_12468,c_12373,c_12173,c_12028,c_11214,c_10249,c_8873,c_8668,c_6989,c_6951,c_6239,c_5812,c_5810,c_5320,c_4637,c_4552,c_4484,c_4255,c_4188,c_4021,c_4016,c_3633,c_3554,c_3109,c_3023,c_3018,c_2926,c_2887,c_2448,c_2220,c_2208,c_2204,c_1416,c_1338,c_1234,c_1101,c_1058,c_809,c_782,c_761,c_630,c_623,c_624,c_438,c_417,c_376,c_362,c_359,c_184,c_175,c_162,c_166,c_167,c_165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO576+1 : TPTP v8.1.2. Released v7.5.0.
% 0.11/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n029.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 19:32:12 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 31.63/5.23  % SZS status Started for theBenchmark.p
% 31.63/5.23  % SZS status Theorem for theBenchmark.p
% 31.63/5.23  
% 31.63/5.23  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 31.63/5.23  
% 31.63/5.23  ------  iProver source info
% 31.63/5.23  
% 31.63/5.23  git: date: 2023-05-31 18:12:56 +0000
% 31.63/5.23  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 31.63/5.23  git: non_committed_changes: false
% 31.63/5.23  git: last_make_outside_of_git: false
% 31.63/5.23  
% 31.63/5.23  ------ Parsing...
% 31.63/5.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 31.63/5.23  
% 31.63/5.23  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 31.63/5.23  
% 31.63/5.23  ------ Preprocessing...
% 31.63/5.23  
% 31.63/5.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 31.63/5.23  ------ Proving...
% 31.63/5.23  ------ Problem Properties 
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  clauses                                 120
% 31.63/5.23  conjectures                             8
% 31.63/5.23  EPR                                     83
% 31.63/5.23  Horn                                    110
% 31.63/5.23  unary                                   8
% 31.63/5.23  binary                                  37
% 31.63/5.23  lits                                    336
% 31.63/5.23  lits eq                                 4
% 31.63/5.23  fd_pure                                 0
% 31.63/5.23  fd_pseudo                               0
% 31.63/5.23  fd_cond                                 0
% 31.63/5.23  fd_pseudo_cond                          4
% 31.63/5.23  AC symbols                              0
% 31.63/5.23  
% 31.63/5.23  ------ Input Options Time Limit: Unbounded
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  ------ 
% 31.63/5.23  Current options:
% 31.63/5.23  ------ 
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  ------ Proving...
% 31.63/5.23  
% 31.63/5.23  
% 31.63/5.23  % SZS status Theorem for theBenchmark.p
% 31.63/5.23  
% 31.63/5.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 31.63/5.23  
% 31.63/5.23  
%------------------------------------------------------------------------------