TSTP Solution File: GEO571+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO571+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:17:52 EDT 2024

% Result   : Theorem 65.85s 9.81s
% Output   : CNFRefutation 65.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   38
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  663 ( 171 unt;   0 def)
%            Number of atoms       : 1488 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives : 1476 ( 651   ~; 642   |; 116   &)
%                                         (   0 <=>;  67  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-5 aty)
%            Number of variables   : 1312 (   0 sgn 862   !;  32   ?)

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

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD3) ).

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

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD6) ).

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

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

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD9) ).

fof(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/sandbox/benchmark/theBenchmark.p',ruleD10) ).

fof(f11,axiom,
    ! [X0,X1,X6] :
      ( midp(X6,X1,X0)
     => midp(X6,X0,X1) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD12) ).

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/sandbox/benchmark/theBenchmark.p',ruleD19) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD20) ).

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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD22) ).

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

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

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

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

fof(f43,axiom,
    ! [X0,X1,X8,X9] :
      ( ( coll(X8,X9,X1)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD48) ).

fof(f52,axiom,
    ! [X0,X1,X2,X7,X6] :
      ( ( eqangle(X0,X1,X0,X2,X7,X1,X7,X6)
        & coll(X6,X1,X2)
        & circle(X7,X0,X1,X2) )
     => midp(X6,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD51) ).

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD56) ).

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

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

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD67) ).

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

fof(f74,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( para(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD73) ).

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/sandbox/benchmark/theBenchmark.p',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X3,X18,X4,X5,X19] :
      ( ( perp(X0,X1,X1,X5)
        & perp(X2,X3,X2,X5)
        & perp(X0,X1,X0,X4)
        & perp(X2,X3,X3,X4)
        & coll(X18,X2,X3)
        & coll(X18,X0,X1)
        & circle(X7,X0,X3,X19)
        & circle(X7,X0,X1,X2) )
     => eqangle(X0,X18,X18,X4,X5,X18,X18,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL214033) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X3,X18,X4,X5,X19] :
        ( ( perp(X0,X1,X1,X5)
          & perp(X2,X3,X2,X5)
          & perp(X0,X1,X0,X4)
          & perp(X2,X3,X3,X4)
          & coll(X18,X2,X3)
          & coll(X18,X0,X1)
          & circle(X7,X0,X3,X19)
          & circle(X7,X0,X1,X2) )
       => eqangle(X0,X18,X18,X4,X5,X18,X18,X2) ),
    inference(negated_conjecture,[],[f95]) ).

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

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

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

fof(f102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(rectify,[],[f20]) ).

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(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(f131,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
        & coll(X4,X1,X2)
        & circle(X3,X0,X1,X2) )
     => midp(X4,X1,X2) ),
    inference(rectify,[],[f52]) ).

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

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

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

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

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

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

fof(f146,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( para(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f74]) ).

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

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( perp(X0,X1,X1,X7)
          & perp(X2,X4,X2,X7)
          & perp(X0,X1,X0,X6)
          & perp(X2,X4,X4,X6)
          & coll(X5,X2,X4)
          & coll(X5,X0,X1)
          & circle(X3,X0,X4,X8)
          & circle(X3,X0,X1,X2) )
       => eqangle(X0,X5,X5,X6,X7,X5,X5,X2) ),
    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(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(f194,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f102]) ).

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(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(f240,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f131]) ).

fof(f241,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f240]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f278,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f278]) ).

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

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

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

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

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

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

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

fof(f359,plain,
    ( ~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22)
    & perp(sK20,sK21,sK21,sK27)
    & perp(sK22,sK24,sK22,sK27)
    & perp(sK20,sK21,sK20,sK26)
    & perp(sK22,sK24,sK24,sK26)
    & coll(sK25,sK22,sK24)
    & coll(sK25,sK20,sK21)
    & circle(sK23,sK20,sK24,sK28)
    & circle(sK23,sK20,sK21,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28])],[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(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(f379,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f194]) ).

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(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(f411,plain,
    ! [X2,X3,X0,X1,X4] :
      ( midp(X4,X1,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ coll(X4,X1,X2)
      | ~ circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f241]) ).

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

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

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

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

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

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

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

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

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

fof(f433,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f279]) ).

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(f474,plain,
    circle(sK23,sK20,sK24,sK28),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    perp(sK22,sK24,sK24,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f478,plain,
    perp(sK20,sK21,sK20,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    perp(sK22,sK24,sK22,sK27),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK20,sK21,sK21,sK27),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    ~ eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22),
    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_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_68,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f379]) ).

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_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_100,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
    | ~ circle(X3,X0,X1,X2)
    | ~ coll(X4,X1,X2)
    | midp(X4,X1,X2) ),
    inference(cnf_transformation,[],[f411]) ).

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

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

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

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

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

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

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

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

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

cnf(c_122,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ para(X4,X5,X6,X7)
    | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f433]) ).

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(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_163,negated_conjecture,
    perp(sK20,sK21,sK21,sK27),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_164,negated_conjecture,
    perp(sK22,sK24,sK22,sK27),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_165,negated_conjecture,
    perp(sK20,sK21,sK20,sK26),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_166,negated_conjecture,
    perp(sK22,sK24,sK24,sK26),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_167,negated_conjecture,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_168,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_169,negated_conjecture,
    circle(sK23,sK20,sK24,sK28),
    inference(cnf_transformation,[],[f474]) ).

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

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

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

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

cnf(c_6372,plain,
    ( ~ coll(sK25,sK20,sK21)
    | coll(sK25,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_6374,plain,
    ( ~ coll(sK25,sK20,sK21)
    | coll(sK20,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_6377,plain,
    ( ~ perp(sK20,sK21,sK20,sK26)
    | perp(sK20,sK21,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_6393,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | ~ perp(sK20,sK21,sK21,sK27)
    | para(X0,X1,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_6394,plain,
    ( ~ perp(sK20,sK20,sK20,sK21)
    | ~ perp(sK20,sK21,sK21,sK27)
    | para(sK20,sK20,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_6393]) ).

cnf(c_6455,plain,
    ( ~ coll(sK25,sK21,sK20)
    | coll(sK21,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_6479,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_6480,plain,
    coll(sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_168,c_49]) ).

cnf(c_6483,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_167,c_50]) ).

cnf(c_6484,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_168,c_50]) ).

cnf(c_6488,plain,
    ( ~ coll(sK20,sK25,sK21)
    | coll(sK20,sK21,sK25) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_6490,plain,
    ( ~ coll(sK20,sK25,X0)
    | ~ coll(sK20,sK25,sK21)
    | coll(X0,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_6503,plain,
    coll(sK21,sK25,sK20),
    inference(superposition,[status(thm)],[c_6480,c_50]) ).

cnf(c_6506,plain,
    coll(sK22,sK24,sK25),
    inference(superposition,[status(thm)],[c_6483,c_49]) ).

cnf(c_6543,plain,
    perp(sK20,sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_165,c_55]) ).

cnf(c_6567,plain,
    perp(sK26,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_6543,c_56]) ).

cnf(c_6571,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | ~ perp(sK20,sK21,sK26,sK20)
    | para(X0,X1,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_6674,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_167,c_51]) ).

cnf(c_6675,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_168,c_51]) ).

cnf(c_6676,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6479,c_51]) ).

cnf(c_6677,plain,
    ( ~ coll(sK25,sK21,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6480,c_51]) ).

cnf(c_6678,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6483,c_51]) ).

cnf(c_6679,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6484,c_51]) ).

cnf(c_6682,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6503,c_51]) ).

cnf(c_6683,plain,
    ( ~ coll(sK22,sK24,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6506,c_51]) ).

cnf(c_6688,plain,
    ( ~ coll(sK21,sK25,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6682]) ).

cnf(c_6692,plain,
    ( ~ coll(sK22,sK25,sK20)
    | coll(sK24,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_6678]) ).

cnf(c_6727,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_167,c_6674]) ).

cnf(c_6728,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6727,c_51]) ).

cnf(c_6730,plain,
    coll(sK24,sK25,sK24),
    inference(superposition,[status(thm)],[c_6727,c_49]) ).

cnf(c_6744,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_168,c_6675]) ).

cnf(c_6745,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6744,c_51]) ).

cnf(c_6747,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_6744,c_49]) ).

cnf(c_6748,plain,
    ( ~ coll(sK24,sK25,X0)
    | coll(sK24,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6730,c_51]) ).

cnf(c_6751,plain,
    ( ~ coll(sK24,sK25,sK20)
    | coll(sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_6748]) ).

cnf(c_6752,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6747,c_51]) ).

cnf(c_6755,plain,
    ( ~ coll(sK21,sK25,sK20)
    | coll(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6752]) ).

cnf(c_6770,plain,
    coll(sK22,sK22,sK25),
    inference(superposition,[status(thm)],[c_6479,c_6676]) ).

cnf(c_6773,plain,
    coll(sK22,sK25,sK22),
    inference(superposition,[status(thm)],[c_6770,c_49]) ).

cnf(c_6803,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6773,c_51]) ).

cnf(c_6806,plain,
    ( ~ coll(sK22,sK25,sK20)
    | coll(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_6803]) ).

cnf(c_6814,plain,
    coll(sK20,sK20,sK25),
    inference(superposition,[status(thm)],[c_6480,c_6677]) ).

cnf(c_6830,plain,
    coll(sK20,sK25,sK20),
    inference(superposition,[status(thm)],[c_6814,c_49]) ).

cnf(c_6835,plain,
    coll(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_6773,c_6678]) ).

cnf(c_6854,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6484,c_6679]) ).

cnf(c_6855,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6854,c_51]) ).

cnf(c_6861,plain,
    coll(sK25,sK25,sK24),
    inference(superposition,[status(thm)],[c_6727,c_6728]) ).

cnf(c_6873,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6861,c_51]) ).

cnf(c_6888,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6830,c_51]) ).

cnf(c_6892,plain,
    ( ~ coll(sK20,sK25,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6888]) ).

cnf(c_6903,plain,
    ( ~ coll(sK24,sK22,X0)
    | coll(sK22,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6835,c_51]) ).

cnf(c_6926,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_6744,c_6745]) ).

cnf(c_6930,plain,
    coll(sK25,sK21,sK25),
    inference(superposition,[status(thm)],[c_6926,c_49]) ).

cnf(c_6953,plain,
    coll(sK20,sK25,sK25),
    inference(superposition,[status(thm)],[c_6930,c_6677]) ).

cnf(c_6967,plain,
    coll(sK25,sK20,sK25),
    inference(superposition,[status(thm)],[c_6953,c_50]) ).

cnf(c_6982,plain,
    ( ~ cong(X0,X0,X0,X1)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_95,c_87]) ).

cnf(c_7049,plain,
    coll(sK25,sK25,sK22),
    inference(superposition,[status(thm)],[c_6506,c_6683]) ).

cnf(c_7052,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_7049,c_51]) ).

cnf(c_7079,plain,
    coll(sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_168,c_49]) ).

cnf(c_7082,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_167,c_50]) ).

cnf(c_7098,plain,
    coll(sK21,sK25,sK20),
    inference(superposition,[status(thm)],[c_7079,c_50]) ).

cnf(c_7119,plain,
    coll(sK25,sK25,sK20),
    inference(superposition,[status(thm)],[c_6967,c_49]) ).

cnf(c_7133,plain,
    coll(sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_7098,c_6752]) ).

cnf(c_7136,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_7133,c_49]) ).

cnf(c_7146,plain,
    perp(sK20,sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_163,c_55]) ).

cnf(c_7147,plain,
    perp(sK22,sK24,sK27,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_7148,plain,
    perp(sK20,sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_165,c_55]) ).

cnf(c_7149,plain,
    perp(sK22,sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_166,c_55]) ).

cnf(c_7153,plain,
    perp(sK21,sK27,sK20,sK21),
    inference(superposition,[status(thm)],[c_163,c_56]) ).

cnf(c_7154,plain,
    perp(sK22,sK27,sK22,sK24),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_7155,plain,
    perp(sK20,sK26,sK20,sK21),
    inference(superposition,[status(thm)],[c_165,c_56]) ).

cnf(c_7156,plain,
    perp(sK24,sK26,sK22,sK24),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_7175,plain,
    perp(sK27,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_7146,c_56]) ).

cnf(c_7179,plain,
    perp(sK26,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_7148,c_56]) ).

cnf(c_7181,plain,
    perp(sK26,sK24,sK22,sK24),
    inference(superposition,[status(thm)],[c_7149,c_56]) ).

cnf(c_7184,plain,
    perp(sK21,sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_7153,c_55]) ).

cnf(c_7213,plain,
    perp(sK27,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_7175,c_55]) ).

cnf(c_7220,plain,
    perp(sK21,sK20,sK21,sK27),
    inference(superposition,[status(thm)],[c_7184,c_56]) ).

cnf(c_7235,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7082,c_51]) ).

cnf(c_7324,plain,
    coll(sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_7082,c_7235]) ).

cnf(c_7327,plain,
    coll(sK24,sK22,sK24),
    inference(superposition,[status(thm)],[c_7324,c_49]) ).

cnf(c_7354,plain,
    coll(sK22,sK24,sK24),
    inference(superposition,[status(thm)],[c_7327,c_6903]) ).

cnf(c_7460,plain,
    ( ~ midp(X0,sK20,sK27)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_163,c_101]) ).

cnf(c_7513,plain,
    ( ~ midp(X0,sK20,sK27)
    | cong(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7460,c_71]) ).

cnf(c_7563,plain,
    ( ~ midp(X0,sK20,sK27)
    | cong(X0,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_7513,c_72]) ).

cnf(c_7621,plain,
    ( ~ midp(sK21,sK21,sK27)
    | cong(sK20,sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_163,c_104]) ).

cnf(c_7622,plain,
    ( ~ midp(sK24,sK22,sK27)
    | cong(sK22,sK22,sK22,sK27) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_7623,plain,
    ( ~ midp(sK21,sK20,sK26)
    | cong(sK20,sK20,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_165,c_104]) ).

cnf(c_7624,plain,
    ( ~ midp(sK24,sK24,sK26)
    | cong(sK22,sK24,sK22,sK26) ),
    inference(superposition,[status(thm)],[c_166,c_104]) ).

cnf(c_7625,plain,
    ( ~ midp(sK21,sK27,sK21)
    | cong(sK20,sK27,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7146,c_104]) ).

cnf(c_7629,plain,
    ( ~ midp(sK27,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7153,c_104]) ).

cnf(c_7631,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7155,c_104]) ).

cnf(c_7633,plain,
    ( ~ midp(sK21,sK20,sK21)
    | cong(sK27,sK20,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_7175,c_104]) ).

cnf(c_7635,plain,
    ( ~ midp(sK20,sK20,sK21)
    | cong(sK26,sK20,sK26,sK21) ),
    inference(superposition,[status(thm)],[c_7179,c_104]) ).

cnf(c_7636,plain,
    ( ~ midp(sK24,sK22,sK24)
    | cong(sK26,sK22,sK26,sK24) ),
    inference(superposition,[status(thm)],[c_7181,c_104]) ).

cnf(c_7641,plain,
    ( ~ midp(sK21,sK21,sK20)
    | cong(sK27,sK21,sK27,sK20) ),
    inference(superposition,[status(thm)],[c_7213,c_104]) ).

cnf(c_7644,plain,
    ( ~ midp(sK20,sK21,sK27)
    | cong(sK21,sK21,sK21,sK27) ),
    inference(superposition,[status(thm)],[c_7220,c_104]) ).

cnf(c_7652,plain,
    ( ~ coll(sK21,sK25,X0)
    | ~ coll(sK21,sK25,sK20)
    | coll(X0,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_7675,plain,
    ( ~ coll(sK20,sK21,X0)
    | ~ coll(sK20,sK21,sK25)
    | coll(X0,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_7750,plain,
    perp(sK20,sK21,sK26,sK20),
    inference(resolution,[status(thm)],[c_55,c_165]) ).

cnf(c_7778,plain,
    perp(sK21,sK27,sK20,sK21),
    inference(resolution,[status(thm)],[c_56,c_163]) ).

cnf(c_7784,plain,
    perp(sK26,sK20,sK20,sK21),
    inference(resolution,[status(thm)],[c_56,c_7750]) ).

cnf(c_7807,plain,
    ( ~ perp(sK27,sK21,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_7146,c_57]) ).

cnf(c_7808,plain,
    ( ~ perp(sK27,sK22,X0,X1)
    | para(sK22,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_7147,c_57]) ).

cnf(c_7811,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK21,sK27,X0,X1) ),
    inference(superposition,[status(thm)],[c_7153,c_57]) ).

cnf(c_7812,plain,
    ( ~ perp(sK22,sK24,X0,X1)
    | para(sK22,sK27,X0,X1) ),
    inference(superposition,[status(thm)],[c_7154,c_57]) ).

cnf(c_7813,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK20,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_7155,c_57]) ).

cnf(c_7814,plain,
    ( ~ perp(sK22,sK24,X0,X1)
    | para(sK24,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_7156,c_57]) ).

cnf(c_7846,plain,
    ( ~ perp(sK20,sK21,sK20,sK20)
    | para(sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7813]) ).

cnf(c_8098,plain,
    ( ~ midp(sK21,sK21,sK27)
    | cong(sK20,sK21,sK27,sK20) ),
    inference(superposition,[status(thm)],[c_7621,c_71]) ).

cnf(c_8114,plain,
    ( ~ midp(sK24,sK22,sK27)
    | cong(sK22,sK22,sK27,sK22) ),
    inference(superposition,[status(thm)],[c_7622,c_71]) ).

cnf(c_8134,plain,
    ( ~ midp(sK24,sK24,sK26)
    | cong(sK22,sK26,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_7624,c_72]) ).

cnf(c_8165,plain,
    ( ~ cong(sK20,sK21,sK20,X0)
    | ~ midp(sK21,sK21,sK27)
    | circle(sK20,sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_7621,c_60]) ).

cnf(c_8166,plain,
    ( ~ cong(sK22,sK22,sK22,X0)
    | ~ midp(sK24,sK22,sK27)
    | circle(sK22,sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_7622,c_60]) ).

cnf(c_8228,plain,
    ( ~ cong(sK21,X0,X1,X2)
    | ~ midp(X0,sK20,sK27)
    | cong(sK20,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7460,c_73]) ).

cnf(c_8237,plain,
    ( ~ cong(sK22,sK26,X0,X1)
    | ~ midp(sK24,sK24,sK26)
    | cong(sK22,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_7624,c_73]) ).

cnf(c_8288,plain,
    ( ~ midp(sK20,sK20,sK27)
    | para(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7513,c_6982]) ).

cnf(c_8290,plain,
    ( ~ midp(sK24,sK22,sK27)
    | para(sK22,sK22,sK22,sK27) ),
    inference(superposition,[status(thm)],[c_7622,c_6982]) ).

cnf(c_8291,plain,
    ( ~ midp(sK21,sK20,sK26)
    | para(sK20,sK20,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_7623,c_6982]) ).

cnf(c_8421,plain,
    ( ~ midp(sK21,sK27,sK21)
    | cong(sK20,sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_7625,c_72]) ).

cnf(c_8464,plain,
    ( ~ cong(sK20,X0,sK21,X0)
    | ~ midp(sK21,sK20,sK27)
    | perp(sK20,sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7513,c_105]) ).

cnf(c_8651,plain,
    ( ~ coll(sK21,sK20,sK21)
    | ~ midp(sK27,sK20,sK21)
    | midp(sK21,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7629,c_116]) ).

cnf(c_8655,plain,
    ( ~ midp(sK27,sK20,sK21)
    | midp(sK21,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8651,c_7133]) ).

cnf(c_8715,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK20,sK21,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_7631,c_72]) ).

cnf(c_8772,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_8816,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_8856,plain,
    coll(sK22,sK20,sK25),
    inference(superposition,[status(thm)],[c_7119,c_7052]) ).

cnf(c_8859,plain,
    coll(sK24,sK20,sK25),
    inference(superposition,[status(thm)],[c_7119,c_6873]) ).

cnf(c_9250,plain,
    coll(sK22,sK25,sK20),
    inference(superposition,[status(thm)],[c_8856,c_49]) ).

cnf(c_9254,plain,
    coll(sK24,sK25,sK20),
    inference(superposition,[status(thm)],[c_8859,c_49]) ).

cnf(c_9327,plain,
    para(sK21,sK27,sK21,sK27),
    inference(superposition,[status(thm)],[c_163,c_7811]) ).

cnf(c_9694,plain,
    ( ~ perp(sK22,sK24,sK24,sK26)
    | ~ coll(sK26,X0,X1)
    | perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_9695,plain,
    ( ~ perp(sK22,sK24,sK24,sK26)
    | ~ coll(sK26,sK20,sK20)
    | perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9694]) ).

cnf(c_9876,plain,
    ( ~ perp(sK20,sK21,sK26,sK20)
    | ~ perp(sK26,sK20,sK20,sK21)
    | para(sK26,sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_6571]) ).

cnf(c_10496,plain,
    ( ~ cong(sK20,sK21,sK20,X0)
    | ~ midp(sK20,sK20,sK27)
    | circle(sK20,sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7563,c_60]) ).

cnf(c_10504,plain,
    ( ~ cong(sK20,sK21,sK20,sK20)
    | ~ midp(sK20,sK20,sK27)
    | circle(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_10496]) ).

cnf(c_10808,plain,
    ( ~ coll(sK27,sK20,sK21)
    | ~ midp(sK21,sK20,sK21)
    | midp(sK27,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7633,c_116]) ).

cnf(c_11115,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_11119,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_11115]) ).

cnf(c_11139,plain,
    ( ~ coll(sK26,sK20,sK21)
    | ~ midp(sK20,sK20,sK21)
    | midp(sK26,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7635,c_116]) ).

cnf(c_11148,plain,
    ( ~ coll(sK26,sK22,sK24)
    | ~ midp(sK24,sK22,sK24)
    | midp(sK26,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_7636,c_116]) ).

cnf(c_11164,plain,
    ( ~ perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1)
    | perp(X0,X1,sK16(sK22,sK26,sK24,X0,X1),sK22) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_11166,plain,
    ( ~ perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20)
    | perp(sK20,sK20,sK16(sK22,sK26,sK24,sK20,sK20),sK22) ),
    inference(instantiation,[status(thm)],[c_11164]) ).

cnf(c_11167,plain,
    ( ~ perp(sK16(sK22,sK26,sK24,X0,X1),sK22,X0,X1)
    | ~ perp(X2,X3,sK16(sK22,sK26,sK24,X0,X1),sK22)
    | para(X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_11168,plain,
    ( ~ perp(sK16(sK22,sK26,sK24,sK20,sK20),sK22,sK20,sK20)
    | ~ perp(sK20,sK20,sK16(sK22,sK26,sK24,sK20,sK20),sK22)
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_11167]) ).

cnf(c_11416,plain,
    ( ~ coll(sK27,X0,sK27)
    | ~ midp(sK21,X0,sK21)
    | midp(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_9327,c_94]) ).

cnf(c_11450,plain,
    ( ~ coll(sK27,sK20,sK27)
    | ~ midp(sK21,sK20,sK21)
    | midp(sK27,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_11416]) ).

cnf(c_11952,plain,
    ( ~ para(X0,X1,sK22,sK24)
    | perp(X0,X1,sK24,sK26) ),
    inference(resolution,[status(thm)],[c_58,c_166]) ).

cnf(c_11962,plain,
    ( ~ para(X0,X1,sK21,sK27)
    | perp(X0,X1,sK20,sK21) ),
    inference(resolution,[status(thm)],[c_58,c_7778]) ).

cnf(c_12099,plain,
    ( ~ coll(sK20,sK25,sK27)
    | ~ coll(sK20,sK25,sK21)
    | coll(sK27,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_6490]) ).

cnf(c_12133,plain,
    ( ~ coll(sK21,sK21,sK27)
    | ~ midp(sK20,sK21,sK27)
    | midp(sK21,sK21,sK27) ),
    inference(superposition,[status(thm)],[c_7644,c_116]) ).

cnf(c_12168,plain,
    ( ~ coll(sK26,X0,X1)
    | coll(sK26,X1,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_12170,plain,
    ( ~ coll(X0,X1,X2)
    | ~ coll(X0,X1,sK26)
    | coll(sK26,X2,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_12220,plain,
    ( ~ midp(sK21,sK20,sK27)
    | cong(sK20,sK21,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7563,c_8228]) ).

cnf(c_12392,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK22,sK24)
    | para(X0,X1,sK24,sK26) ),
    inference(resolution,[status(thm)],[c_11952,c_57]) ).

cnf(c_12787,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK21,sK27)
    | para(X0,X1,sK20,sK21) ),
    inference(resolution,[status(thm)],[c_11962,c_57]) ).

cnf(c_12789,plain,
    ( ~ para(sK20,sK20,sK21,sK27)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_12787]) ).

cnf(c_13068,plain,
    perp(sK20,sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_163,c_55]) ).

cnf(c_13069,plain,
    perp(sK22,sK24,sK27,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_13070,plain,
    perp(sK20,sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_165,c_55]) ).

cnf(c_13091,plain,
    perp(sK27,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_13068,c_56]) ).

cnf(c_13093,plain,
    perp(sK27,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_13069,c_56]) ).

cnf(c_13113,plain,
    ( ~ midp(sK21,sK21,sK27)
    | cong(sK20,sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_8098,c_71]) ).

cnf(c_13304,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_13091,c_7807]) ).

cnf(c_13308,plain,
    para(sK22,sK24,sK22,sK24),
    inference(superposition,[status(thm)],[c_13093,c_7808]) ).

cnf(c_13320,plain,
    para(sK21,sK27,sK21,sK27),
    inference(superposition,[status(thm)],[c_163,c_7811]) ).

cnf(c_13322,plain,
    para(sK21,sK27,sK27,sK21),
    inference(superposition,[status(thm)],[c_13068,c_7811]) ).

cnf(c_13323,plain,
    para(sK21,sK27,sK26,sK20),
    inference(superposition,[status(thm)],[c_13070,c_7811]) ).

cnf(c_13389,plain,
    coll(sK21,sK27,sK27),
    inference(superposition,[status(thm)],[c_13320,c_115]) ).

cnf(c_13414,plain,
    coll(sK27,sK21,sK27),
    inference(superposition,[status(thm)],[c_13389,c_50]) ).

cnf(c_13416,plain,
    para(sK27,sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_13322,c_53]) ).

cnf(c_13484,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_13414,c_51]) ).

cnf(c_13486,plain,
    coll(sK27,sK27,sK21),
    inference(superposition,[status(thm)],[c_13414,c_49]) ).

cnf(c_13487,plain,
    ( ~ coll(sK27,sK21,sK20)
    | coll(sK27,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_13484]) ).

cnf(c_13516,plain,
    para(sK26,sK20,sK21,sK27),
    inference(superposition,[status(thm)],[c_13323,c_53]) ).

cnf(c_13809,plain,
    para(sK20,sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_165,c_7813]) ).

cnf(c_13818,plain,
    coll(sK20,sK26,sK26),
    inference(superposition,[status(thm)],[c_13809,c_115]) ).

cnf(c_13866,plain,
    coll(sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_13818,c_50]) ).

cnf(c_13881,plain,
    para(sK24,sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_166,c_7814]) ).

cnf(c_13888,plain,
    coll(sK24,sK26,sK26),
    inference(superposition,[status(thm)],[c_13881,c_115]) ).

cnf(c_13890,plain,
    coll(sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_13888,c_50]) ).

cnf(c_13947,plain,
    ( ~ coll(sK21,X0,sK27)
    | ~ midp(sK27,X0,sK21)
    | midp(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_13416,c_94]) ).

cnf(c_13949,plain,
    ( ~ coll(sK20,X0,sK27)
    | ~ midp(sK26,X0,sK21)
    | midp(sK20,X0,sK27) ),
    inference(superposition,[status(thm)],[c_13516,c_94]) ).

cnf(c_13951,plain,
    ( ~ coll(sK21,X0,sK21)
    | ~ midp(sK20,X0,sK20)
    | midp(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_13304,c_94]) ).

cnf(c_13953,plain,
    ( ~ coll(sK24,X0,sK24)
    | ~ midp(sK22,X0,sK22)
    | midp(sK24,X0,sK24) ),
    inference(superposition,[status(thm)],[c_13308,c_94]) ).

cnf(c_13969,plain,
    ( ~ coll(sK24,sK20,sK24)
    | ~ midp(sK22,sK20,sK22)
    | midp(sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_13953]) ).

cnf(c_13971,plain,
    ( ~ coll(sK21,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_13951]) ).

cnf(c_13973,plain,
    ( ~ coll(sK20,sK20,sK27)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK20,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_13949]) ).

cnf(c_13975,plain,
    ( ~ coll(sK21,sK20,sK27)
    | ~ midp(sK27,sK20,sK21)
    | midp(sK21,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_13947]) ).

cnf(c_13989,plain,
    coll(sK26,sK26,sK20),
    inference(superposition,[status(thm)],[c_13866,c_49]) ).

cnf(c_13992,plain,
    coll(sK26,sK26,sK24),
    inference(superposition,[status(thm)],[c_13890,c_49]) ).

cnf(c_14297,plain,
    ( ~ circle(sK20,sK21,X0,X1)
    | eqangle(sK21,sK27,sK21,X0,X1,sK21,X1,X0) ),
    inference(superposition,[status(thm)],[c_163,c_97]) ).

cnf(c_14381,plain,
    ( ~ circle(sK20,sK21,X0,X1)
    | eqangle(sK21,X0,sK21,sK27,X1,X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_14297,c_67]) ).

cnf(c_14456,plain,
    ( ~ para(sK21,sK27,sK21,sK27)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_13320,c_113]) ).

cnf(c_14471,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_13304,c_113]) ).

cnf(c_14473,plain,
    ( ~ para(sK22,sK24,sK22,sK24)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_13308,c_113]) ).

cnf(c_14492,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14473,c_13308]) ).

cnf(c_14493,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14471,c_13304]) ).

cnf(c_14497,plain,
    ( ~ midp(X0,sK21,sK21)
    | midp(X0,sK27,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14456,c_13320]) ).

cnf(c_14498,plain,
    ( ~ midp(sK20,sK21,sK21)
    | midp(sK20,sK27,sK27) ),
    inference(instantiation,[status(thm)],[c_14497]) ).

cnf(c_14502,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_14493]) ).

cnf(c_14503,plain,
    ( ~ midp(sK20,sK22,sK22)
    | midp(sK20,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_14492]) ).

cnf(c_14548,plain,
    ( ~ para(X0,X1,X0,sK21)
    | ~ circle(sK20,sK21,X1,X0)
    | para(sK21,X1,sK21,sK27) ),
    inference(superposition,[status(thm)],[c_14381,c_122]) ).

cnf(c_14551,plain,
    ( ~ para(sK20,sK20,sK20,sK21)
    | ~ circle(sK20,sK21,sK20,sK20)
    | para(sK21,sK20,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_14548]) ).

cnf(c_14838,plain,
    ( ~ midp(sK21,sK21,sK27)
    | circle(sK20,sK21,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_13113,c_8165]) ).

cnf(c_15109,plain,
    ( ~ para(sK27,X0,sK27,X1)
    | coll(sK27,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_15110,plain,
    ( ~ para(sK27,sK20,sK27,sK20)
    | coll(sK27,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_15109]) ).

cnf(c_15111,plain,
    ( ~ para(sK26,X0,sK26,X1)
    | coll(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_15112,plain,
    ( ~ para(sK26,sK20,sK26,sK20)
    | coll(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_15111]) ).

cnf(c_15533,plain,
    ( ~ eqangle(sK25,sK26,sK20,sK25,sK25,sK22,sK27,sK25)
    | eqangle(sK20,sK25,sK25,sK26,sK27,sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_15666,plain,
    ( ~ coll(sK20,sK21,sK25)
    | ~ coll(sK20,sK21,sK27)
    | coll(sK27,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_7675]) ).

cnf(c_15668,plain,
    ( ~ coll(sK20,sK21,sK25)
    | ~ coll(sK20,sK21,sK26)
    | coll(sK26,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_7675]) ).

cnf(c_16901,plain,
    ( ~ coll(sK21,sK25,sK20)
    | ~ coll(sK21,sK25,sK27)
    | coll(sK27,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_7652]) ).

cnf(c_17113,plain,
    ( ~ para(sK20,sK21,sK22,sK24)
    | para(sK26,sK20,sK24,sK26) ),
    inference(resolution,[status(thm)],[c_12392,c_7784]) ).

cnf(c_17208,plain,
    ( ~ eqangle(sK25,sK26,sK25,sK22,sK20,sK25,sK27,sK25)
    | eqangle(sK25,sK26,sK20,sK25,sK25,sK22,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_18521,plain,
    ( ~ perp(sK23,sK20,sK20,X0)
    | eqangle(sK20,X0,sK20,sK24,sK28,sK20,sK28,sK24) ),
    inference(resolution,[status(thm)],[c_97,c_169]) ).

cnf(c_18611,plain,
    ( ~ coll(sK20,sK27,sK25)
    | coll(sK20,sK25,sK27) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_20531,plain,
    ( ~ coll(sK22,sK27,sK24)
    | coll(sK22,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_20639,plain,
    ( ~ coll(sK20,sK27,sK21)
    | coll(sK20,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_20719,plain,
    ( ~ coll(sK26,X0,sK20)
    | ~ coll(sK26,X0,sK21)
    | coll(sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_20720,plain,
    ( ~ coll(sK26,sK20,sK20)
    | ~ coll(sK26,sK20,sK21)
    | coll(sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_20719]) ).

cnf(c_21417,plain,
    ( ~ coll(sK25,sK27,sK21)
    | coll(sK25,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_21668,plain,
    ( ~ coll(sK21,sK27,sK21)
    | coll(sK21,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_21808,plain,
    ( ~ coll(sK25,sK21,sK27)
    | coll(sK21,sK25,sK27) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_22313,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_22314,plain,
    coll(sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_168,c_49]) ).

cnf(c_22317,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_167,c_50]) ).

cnf(c_22318,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_168,c_50]) ).

cnf(c_22377,plain,
    perp(sK20,sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_163,c_55]) ).

cnf(c_22378,plain,
    perp(sK22,sK24,sK27,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_22380,plain,
    perp(sK22,sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_166,c_55]) ).

cnf(c_22384,plain,
    perp(sK22,sK27,sK22,sK24),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_22397,plain,
    midp(sK21,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_8655,c_168,c_166,c_165,c_176,c_180,c_234,c_6372,c_6377,c_6455,c_6567,c_6755,c_6830,c_6892,c_9695,c_9876,c_11119,c_11166,c_11168,c_13971,c_15112]) ).

cnf(c_22401,plain,
    midp(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_22397,c_59]) ).

cnf(c_22402,plain,
    cong(sK27,sK21,sK27,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_7641,c_22401]) ).

cnf(c_22403,plain,
    perp(sK27,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_22377,c_56]) ).

cnf(c_22414,plain,
    perp(sK22,sK27,sK24,sK22),
    inference(superposition,[status(thm)],[c_22384,c_55]) ).

cnf(c_22469,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_167,c_51]) ).

cnf(c_22470,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_168,c_51]) ).

cnf(c_22472,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_22313,c_51]) ).

cnf(c_22473,plain,
    ( ~ coll(sK25,sK21,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_22314,c_51]) ).

cnf(c_22474,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_22317,c_51]) ).

cnf(c_22475,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_22318,c_51]) ).

cnf(c_22486,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_13989,c_51]) ).

cnf(c_22487,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK24,X0,sK26) ),
    inference(superposition,[status(thm)],[c_13992,c_51]) ).

cnf(c_22488,plain,
    ( ~ coll(sK26,sK26,sK20)
    | coll(sK24,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_22487]) ).

cnf(c_22489,plain,
    ( ~ coll(sK26,sK26,sK20)
    | coll(sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_22486]) ).

cnf(c_22508,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_167,c_22469]) ).

cnf(c_22509,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_22508,c_51]) ).

cnf(c_22514,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_168,c_22470]) ).

cnf(c_22515,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_22514,c_51]) ).

cnf(c_22556,plain,
    coll(sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_22317,c_22474]) ).

cnf(c_22627,plain,
    ( ~ midp(sK21,sK20,sK26)
    | para(sK20,sK26,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_8291,c_53]) ).

cnf(c_22632,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_22403,c_7807]) ).

cnf(c_22646,plain,
    para(sK21,sK27,sK27,sK21),
    inference(superposition,[status(thm)],[c_22377,c_7811]) ).

cnf(c_22737,plain,
    para(sK27,sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_22646,c_53]) ).

cnf(c_22744,plain,
    ( ~ perp(sK22,sK27,X0,X1)
    | para(sK22,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_22807,plain,
    para(sK22,sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_22414,c_22744]) ).

cnf(c_23113,plain,
    para(sK22,sK27,sK27,sK22),
    inference(superposition,[status(thm)],[c_22378,c_7812]) ).

cnf(c_23131,plain,
    para(sK27,sK22,sK22,sK27),
    inference(superposition,[status(thm)],[c_23113,c_53]) ).

cnf(c_23254,plain,
    ( ~ coll(sK24,X0,sK22)
    | ~ midp(sK22,X0,sK24)
    | midp(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_22807,c_94]) ).

cnf(c_23305,plain,
    ( ~ midp(sK22,sK24,sK24)
    | midp(sK24,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_22556,c_23254]) ).

cnf(c_23311,plain,
    para(sK24,sK26,sK26,sK24),
    inference(superposition,[status(thm)],[c_22380,c_7814]) ).

cnf(c_23321,plain,
    para(sK26,sK24,sK24,sK26),
    inference(superposition,[status(thm)],[c_23311,c_53]) ).

cnf(c_24579,plain,
    ( ~ midp(sK24,sK24,sK26)
    | cong(sK22,sK24,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_8134,c_8237]) ).

cnf(c_24684,plain,
    ( ~ coll(sK22,sK24,sK24)
    | ~ midp(sK24,sK24,sK26)
    | midp(sK22,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_24579,c_116]) ).

cnf(c_24694,plain,
    ( ~ midp(sK24,sK24,sK26)
    | midp(sK22,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24684,c_7354]) ).

cnf(c_27062,plain,
    ( ~ perp(sK23,sK20,sK20,sK20)
    | ~ circle(sK28,sK20,sK20,sK24)
    | ~ coll(sK24,sK20,sK24)
    | midp(sK24,sK20,sK24) ),
    inference(resolution,[status(thm)],[c_100,c_18521]) ).

cnf(c_27192,plain,
    ( ~ coll(sK26,sK21,sK20)
    | coll(sK26,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_12168]) ).

cnf(c_27502,plain,
    ( ~ perp(X0,X1,sK20,sK21)
    | perp(sK20,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_27503,plain,
    ( ~ perp(sK20,sK20,sK20,sK21)
    | perp(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_27502]) ).

cnf(c_28436,plain,
    ( ~ coll(X0,X1,sK27)
    | coll(X1,X0,sK27) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_28437,plain,
    ( ~ coll(sK27,X0,X1)
    | ~ coll(sK27,X0,X2)
    | coll(X1,X2,sK27) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_28438,plain,
    ( ~ coll(sK27,sK20,sK20)
    | coll(sK20,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_28437]) ).

cnf(c_28559,plain,
    ( ~ coll(sK24,X0,sK26)
    | ~ coll(sK24,X0,sK22)
    | coll(sK26,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_12170]) ).

cnf(c_28560,plain,
    ( ~ coll(sK24,sK20,sK26)
    | ~ coll(sK24,sK20,sK22)
    | coll(sK26,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_28559]) ).

cnf(c_28572,plain,
    ( ~ coll(sK20,X0,sK26)
    | ~ coll(sK20,X0,sK21)
    | coll(sK26,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_12170]) ).

cnf(c_28573,plain,
    ( ~ coll(sK20,sK20,sK26)
    | ~ coll(sK20,sK20,sK21)
    | coll(sK26,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_28572]) ).

cnf(c_30009,plain,
    ( ~ coll(sK27,sK21,sK20)
    | midp(sK27,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_22402,c_116]) ).

cnf(c_30140,plain,
    ( ~ coll(sK21,X0,sK27)
    | ~ midp(sK27,X0,sK21)
    | midp(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_22737,c_94]) ).

cnf(c_30144,plain,
    para(sK27,sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_22737,c_52]) ).

cnf(c_30192,plain,
    coll(sK27,sK21,sK21),
    inference(superposition,[status(thm)],[c_30144,c_115]) ).

cnf(c_30220,plain,
    ( ~ coll(sK21,X0,sK21)
    | ~ midp(sK20,X0,sK20)
    | midp(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_22632,c_94]) ).

cnf(c_30311,plain,
    para(sK27,sK22,sK27,sK22),
    inference(superposition,[status(thm)],[c_23131,c_52]) ).

cnf(c_30447,plain,
    para(sK26,sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_23321,c_52]) ).

cnf(c_30511,plain,
    coll(sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_30192,c_50]) ).

cnf(c_30517,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_30511,c_49]) ).

cnf(c_30533,plain,
    coll(sK25,sK27,sK21),
    inference(superposition,[status(thm)],[c_30517,c_22515]) ).

cnf(c_30579,plain,
    ( ~ para(sK27,sK22,sK27,sK22)
    | ~ midp(X0,sK27,sK27)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_30311,c_113]) ).

cnf(c_30580,plain,
    ( ~ coll(sK22,X0,sK22)
    | ~ midp(sK27,X0,sK27)
    | midp(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_30311,c_94]) ).

cnf(c_30585,plain,
    coll(sK27,sK22,sK22),
    inference(superposition,[status(thm)],[c_30311,c_115]) ).

cnf(c_30586,plain,
    ( ~ midp(X0,sK27,sK27)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_30579,c_30311]) ).

cnf(c_30587,plain,
    ( ~ midp(sK20,sK27,sK27)
    | midp(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_30586]) ).

cnf(c_30588,plain,
    ( ~ coll(sK22,sK20,sK22)
    | ~ midp(sK27,sK20,sK27)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_30580]) ).

cnf(c_30646,plain,
    coll(sK27,sK25,sK21),
    inference(superposition,[status(thm)],[c_30533,c_50]) ).

cnf(c_30647,plain,
    coll(sK25,sK21,sK27),
    inference(superposition,[status(thm)],[c_30533,c_49]) ).

cnf(c_30921,plain,
    coll(sK20,sK27,sK21),
    inference(superposition,[status(thm)],[c_30517,c_6855]) ).

cnf(c_31071,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK27,X1,sK27)
    | para(sK27,X0,sK27,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_31072,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK27,sK20,sK27)
    | para(sK27,sK20,sK27,sK20) ),
    inference(instantiation,[status(thm)],[c_31071]) ).

cnf(c_31094,plain,
    coll(sK22,sK27,sK22),
    inference(superposition,[status(thm)],[c_30585,c_50]) ).

cnf(c_31121,plain,
    ( ~ coll(sK27,sK25,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_30646,c_51]) ).

cnf(c_31125,plain,
    ( ~ coll(sK27,sK25,sK20)
    | coll(sK21,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_31121]) ).

cnf(c_31129,plain,
    coll(sK20,sK27,sK25),
    inference(superposition,[status(thm)],[c_30647,c_22473]) ).

cnf(c_31133,plain,
    coll(sK22,sK22,sK27),
    inference(superposition,[status(thm)],[c_31094,c_49]) ).

cnf(c_31225,plain,
    coll(sK26,sK24,sK24),
    inference(superposition,[status(thm)],[c_30447,c_115]) ).

cnf(c_31243,plain,
    coll(sK20,sK25,sK27),
    inference(superposition,[status(thm)],[c_31129,c_49]) ).

cnf(c_31554,plain,
    coll(sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_31225,c_50]) ).

cnf(c_32259,plain,
    coll(sK21,sK27,sK20),
    inference(superposition,[status(thm)],[c_31243,c_22475]) ).

cnf(c_32267,plain,
    coll(sK24,sK24,sK26),
    inference(superposition,[status(thm)],[c_31554,c_49]) ).

cnf(c_32284,plain,
    coll(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_32259,c_50]) ).

cnf(c_32285,plain,
    coll(sK21,sK20,sK27),
    inference(superposition,[status(thm)],[c_32259,c_49]) ).

cnf(c_32288,plain,
    midp(sK27,sK21,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_30009,c_32284]) ).

cnf(c_32692,plain,
    coll(sK25,sK26,sK24),
    inference(superposition,[status(thm)],[c_32267,c_22509]) ).

cnf(c_32737,plain,
    coll(sK25,sK24,sK26),
    inference(superposition,[status(thm)],[c_32692,c_49]) ).

cnf(c_33330,plain,
    ( ~ cong(X0,sK20,X1,sK20)
    | ~ cong(X0,sK21,X1,sK21)
    | perp(X0,X1,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_33331,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ cong(sK20,sK21,sK20,sK21)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_33330]) ).

cnf(c_33338,plain,
    ( ~ cong(X0,X1,X1,X1)
    | ~ cong(X0,sK22,X1,sK22)
    | perp(X0,X1,X1,sK22) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_33339,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ cong(sK20,sK22,sK20,sK22)
    | perp(sK20,sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_33338]) ).

cnf(c_33376,plain,
    ( ~ cong(X0,X1,X1,X1)
    | ~ cong(X0,sK24,X1,sK24)
    | perp(X0,X1,X1,sK24) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_33377,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ cong(sK20,sK24,sK20,sK24)
    | perp(sK20,sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_33376]) ).

cnf(c_33475,plain,
    para(sK20,sK20,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_8288,c_168,c_166,c_165,c_163,c_176,c_180,c_185,c_234,c_6372,c_6374,c_6377,c_6394,c_6455,c_6488,c_6567,c_6755,c_6830,c_6892,c_9695,c_9876,c_10808,c_11119,c_11166,c_11168,c_12220,c_12789,c_13971,c_13975,c_15112,c_15666,c_16901,c_20639,c_21417,c_21808,c_30533,c_30921,c_31125,c_33331]) ).

cnf(c_33477,plain,
    ( ~ para(sK20,sK21,sK20,sK20)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_33475,c_113]) ).

cnf(c_33481,plain,
    para(sK20,sK21,sK20,sK20),
    inference(superposition,[status(thm)],[c_33475,c_53]) ).

cnf(c_33484,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33477,c_33481]) ).

cnf(c_33485,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_33484]) ).

cnf(c_33502,plain,
    coll(sK20,sK21,sK27),
    inference(superposition,[status(thm)],[c_32285,c_50]) ).

cnf(c_33508,plain,
    midp(sK27,sK20,sK21),
    inference(superposition,[status(thm)],[c_32288,c_59]) ).

cnf(c_33601,plain,
    ( ~ coll(sK20,sK21,sK27)
    | ~ midp(sK21,sK27,sK21)
    | midp(sK20,sK21,sK27) ),
    inference(superposition,[status(thm)],[c_8421,c_116]) ).

cnf(c_33614,plain,
    ( ~ midp(sK21,sK27,sK21)
    | midp(sK20,sK21,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33601,c_33502]) ).

cnf(c_34180,plain,
    coll(sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_32737,c_22472]) ).

cnf(c_34367,plain,
    coll(sK26,sK22,sK25),
    inference(superposition,[status(thm)],[c_34180,c_50]) ).

cnf(c_34844,plain,
    coll(sK26,sK25,sK22),
    inference(superposition,[status(thm)],[c_34367,c_49]) ).

cnf(c_34936,plain,
    ( ~ coll(sK21,sK20,sK27)
    | midp(sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_33508,c_30140]) ).

cnf(c_34937,plain,
    midp(sK21,sK20,sK27),
    inference(forward_subsumption_resolution,[status(thm)],[c_34936,c_32285]) ).

cnf(c_35304,plain,
    ( ~ coll(sK26,sK25,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_34844,c_51]) ).

cnf(c_35307,plain,
    ( ~ coll(sK26,sK25,sK20)
    | coll(sK22,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_35304]) ).

cnf(c_35412,plain,
    ( ~ midp(sK20,sK27,sK20)
    | midp(sK21,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_30511,c_30220]) ).

cnf(c_36303,plain,
    para(sK20,sK26,sK20,sK20),
    inference(global_subsumption_just,[status(thm)],[c_22627,c_168,c_166,c_165,c_176,c_180,c_234,c_6372,c_6374,c_6377,c_6455,c_6488,c_6567,c_6755,c_6830,c_6892,c_7846,c_9695,c_9876,c_10808,c_11119,c_11166,c_11168,c_12220,c_13971,c_13975,c_15112,c_15666,c_16901,c_20639,c_21417,c_21808,c_27503,c_30533,c_30921,c_31125,c_33331]) ).

cnf(c_36306,plain,
    ( ~ para(sK20,sK20,sK20,sK26)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_36303,c_113]) ).

cnf(c_36310,plain,
    para(sK20,sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_36303,c_53]) ).

cnf(c_36316,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK26,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36306,c_36310]) ).

cnf(c_36317,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_36316]) ).

cnf(c_36337,plain,
    ( ~ midp(X0,sK25,sK25)
    | ~ midp(X0,sK22,sK26)
    | para(sK25,sK22,sK25,sK26) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_36338,plain,
    ( ~ midp(sK20,sK25,sK25)
    | ~ midp(sK20,sK22,sK26)
    | para(sK25,sK22,sK25,sK26) ),
    inference(instantiation,[status(thm)],[c_36337]) ).

cnf(c_36789,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK20,sK25,sK27,sK25)
    | ~ eqangle(sK25,sK26,sK25,sK22,X0,X1,X2,X3)
    | eqangle(sK25,sK26,sK25,sK22,sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_36790,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK20,sK20,sK25,sK27,sK25)
    | ~ eqangle(sK25,sK26,sK25,sK22,sK20,sK20,sK20,sK20)
    | eqangle(sK25,sK26,sK25,sK22,sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_36789]) ).

cnf(c_38783,plain,
    ( ~ midp(X0,sK24,sK24)
    | cong(X0,sK24,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_38784,plain,
    ( ~ midp(sK20,sK24,sK24)
    | cong(sK20,sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_38783]) ).

cnf(c_41098,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_41108,plain,
    ( ~ cong(sK20,X0,sK21,X0)
    | perp(sK20,sK21,X0,sK21) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8464,c_34937]) ).

cnf(c_41121,plain,
    coll(sK24,sK25,sK22),
    inference(superposition,[status(thm)],[c_41098,c_50]) ).

cnf(c_41211,plain,
    ( ~ midp(sK21,sK21,sK27)
    | cong(sK20,sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_8098,c_71]) ).

cnf(c_41212,plain,
    ( ~ midp(sK24,sK22,sK27)
    | cong(sK22,sK22,sK22,sK27) ),
    inference(superposition,[status(thm)],[c_8114,c_71]) ).

cnf(c_41256,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_167,c_51]) ).

cnf(c_41258,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_41098,c_51]) ).

cnf(c_41263,plain,
    ( ~ coll(sK24,sK25,X0)
    | coll(sK22,X0,sK24) ),
    inference(superposition,[status(thm)],[c_41121,c_51]) ).

cnf(c_41270,plain,
    ( ~ coll(sK27,sK27,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_13486,c_51]) ).

cnf(c_41281,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_13486,c_41270]) ).

cnf(c_41282,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK27,X0,sK21) ),
    inference(superposition,[status(thm)],[c_41281,c_51]) ).

cnf(c_41308,plain,
    coll(sK22,sK22,sK25),
    inference(superposition,[status(thm)],[c_41098,c_41258]) ).

cnf(c_41414,plain,
    ( ~ midp(sK24,sK22,sK27)
    | coll(sK22,sK22,sK27) ),
    inference(superposition,[status(thm)],[c_8290,c_115]) ).

cnf(c_41453,plain,
    ( ~ midp(X0,sK20,sK27)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_163,c_101]) ).

cnf(c_41475,plain,
    ( ~ midp(X0,sK20,sK27)
    | perp(sK20,sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_41453,c_41108]) ).

cnf(c_41495,plain,
    ( ~ midp(X0,sK20,sK27)
    | perp(sK20,sK21,sK21,X0) ),
    inference(superposition,[status(thm)],[c_41475,c_55]) ).

cnf(c_41549,plain,
    ( ~ perp(sK21,sK27,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_163,c_57]) ).

cnf(c_41550,plain,
    ( ~ perp(sK22,sK27,X0,X1)
    | para(sK22,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_41575,plain,
    coll(sK22,sK22,sK27),
    inference(global_subsumption_just,[status(thm)],[c_41414,c_31133]) ).

cnf(c_41578,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK27,X0,sK22) ),
    inference(superposition,[status(thm)],[c_41575,c_51]) ).

cnf(c_41756,plain,
    coll(sK27,sK25,sK22),
    inference(superposition,[status(thm)],[c_41308,c_41578]) ).

cnf(c_41922,plain,
    ( ~ midp(X0,sK20,sK27)
    | para(sK21,sK27,sK21,X0) ),
    inference(superposition,[status(thm)],[c_41495,c_7811]) ).

cnf(c_44553,plain,
    coll(sK27,sK20,sK21),
    inference(superposition,[status(thm)],[c_7136,c_41282]) ).

cnf(c_44573,plain,
    coll(sK20,sK27,sK21),
    inference(superposition,[status(thm)],[c_44553,c_50]) ).

cnf(c_44580,plain,
    coll(sK20,sK21,sK27),
    inference(superposition,[status(thm)],[c_44573,c_49]) ).

cnf(c_45047,plain,
    coll(sK25,sK27,sK22),
    inference(superposition,[status(thm)],[c_41756,c_50]) ).

cnf(c_45110,plain,
    coll(sK25,sK22,sK27),
    inference(superposition,[status(thm)],[c_45047,c_49]) ).

cnf(c_45850,plain,
    coll(sK24,sK27,sK25),
    inference(superposition,[status(thm)],[c_45110,c_41256]) ).

cnf(c_45897,plain,
    coll(sK24,sK25,sK27),
    inference(superposition,[status(thm)],[c_45850,c_49]) ).

cnf(c_45904,plain,
    coll(sK22,sK27,sK24),
    inference(superposition,[status(thm)],[c_45897,c_41263]) ).

cnf(c_46641,plain,
    ( ~ midp(sK21,sK21,sK27)
    | circle(sK20,sK21,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_41211,c_8165]) ).

cnf(c_46662,plain,
    ( ~ midp(sK24,sK22,sK27)
    | circle(sK22,sK22,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_41212,c_8166]) ).

cnf(c_47046,plain,
    ( ~ para(sK21,X0,sK21,sK27)
    | ~ midp(X0,sK20,sK27)
    | ~ midp(X1,sK21,sK21)
    | midp(X1,sK27,X0) ),
    inference(superposition,[status(thm)],[c_41922,c_113]) ).

cnf(c_47054,plain,
    ( ~ para(sK21,sK20,sK21,sK27)
    | ~ midp(sK20,sK20,sK27)
    | ~ midp(sK20,sK21,sK21)
    | midp(sK20,sK27,sK20) ),
    inference(instantiation,[status(thm)],[c_47046]) ).

cnf(c_48143,plain,
    circle(sK20,sK21,sK27,sK27),
    inference(global_subsumption_just,[status(thm)],[c_46641,c_168,c_166,c_165,c_163,c_176,c_180,c_185,c_234,c_6372,c_6374,c_6377,c_6394,c_6455,c_6488,c_6567,c_6688,c_6755,c_6830,c_6892,c_8715,c_9695,c_9876,c_10504,c_10808,c_11119,c_11139,c_11166,c_11168,c_11450,c_12099,c_12133,c_12220,c_12789,c_13487,c_13971,c_13973,c_13975,c_13989,c_14502,c_14551,c_14838,c_15110,c_15112,c_15666,c_16901,c_18611,c_20639,c_21417,c_21668,c_21808,c_22489,c_27192,c_28438,c_28573,c_30511,c_30533,c_30921,c_31072,c_31125,c_31129,c_33331,c_33485,c_33614,c_35412,c_47054]) ).

cnf(c_48145,plain,
    ( ~ coll(sK20,sK21,sK27)
    | perp(sK21,sK27,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_48143,c_102]) ).

cnf(c_48149,plain,
    perp(sK21,sK27,sK27,sK27),
    inference(forward_subsumption_resolution,[status(thm)],[c_48145,c_44580]) ).

cnf(c_48152,plain,
    ( ~ coll(sK22,sK22,sK27)
    | ~ midp(sK24,sK22,sK27)
    | perp(sK22,sK27,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_46662,c_102]) ).

cnf(c_48153,plain,
    ( ~ midp(sK24,sK22,sK27)
    | perp(sK22,sK27,sK27,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_48152,c_41575]) ).

cnf(c_52390,plain,
    ( ~ coll(sK22,sK24,sK27)
    | coll(sK24,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_28436]) ).

cnf(c_52748,plain,
    para(sK20,sK21,sK27,sK27),
    inference(superposition,[status(thm)],[c_48149,c_41549]) ).

cnf(c_52827,plain,
    ( ~ para(sK27,sK27,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_52748,c_54]) ).

cnf(c_55596,plain,
    midp(sK24,sK20,sK24),
    inference(global_subsumption_just,[status(thm)],[c_27062,c_168,c_166,c_165,c_176,c_180,c_234,c_6372,c_6374,c_6377,c_6455,c_6567,c_6751,c_6755,c_6806,c_6830,c_6892,c_9250,c_9254,c_9695,c_9876,c_11119,c_11166,c_11168,c_11450,c_12099,c_13487,c_13969,c_13971,c_15112,c_18611,c_30588,c_31129]) ).

cnf(c_56504,plain,
    ( ~ midp(sK24,sK22,sK27)
    | para(sK22,sK24,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_48153,c_41550]) ).

cnf(c_56750,plain,
    ( ~ midp(sK24,sK22,sK27)
    | para(sK27,sK27,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_56504,c_53]) ).

cnf(c_56859,plain,
    ( ~ midp(sK24,sK22,sK27)
    | para(sK20,sK21,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_56750,c_52827]) ).

cnf(c_57606,plain,
    ( ~ midp(X0,sK20,X1)
    | para(X0,sK24,X1,sK24) ),
    inference(resolution,[status(thm)],[c_93,c_55596]) ).

cnf(c_57607,plain,
    ( ~ midp(sK20,sK20,sK20)
    | para(sK20,sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_57606]) ).

cnf(c_58739,plain,
    ( ~ midp(X0,sK22,sK22)
    | cong(X0,sK22,X0,sK22) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_58740,plain,
    ( ~ midp(sK20,sK22,sK22)
    | cong(sK20,sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_58739]) ).

cnf(c_59139,plain,
    ( ~ para(X0,sK25,X1,sK25)
    | ~ midp(X2,X0,X1)
    | midp(X2,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_59140,plain,
    ( ~ para(sK20,sK25,sK20,sK25)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_59139]) ).

cnf(c_61520,plain,
    ( ~ midp(sK24,sK27,sK22)
    | midp(sK24,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_61521,plain,
    ( ~ midp(sK24,sK26,sK24)
    | midp(sK24,sK24,sK26) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_61527,plain,
    ( ~ midp(sK24,sK24,sK22)
    | midp(sK24,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_61586,plain,
    ( ~ perp(X0,X1,sK20,sK24)
    | perp(sK20,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_61587,plain,
    ( ~ perp(sK20,sK20,sK20,sK24)
    | perp(sK20,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_61586]) ).

cnf(c_61781,plain,
    ( ~ para(X0,X1,X2,sK26)
    | ~ midp(X0,sK22,X2)
    | ~ coll(X1,sK22,sK26)
    | midp(X1,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_61794,plain,
    ( ~ para(X0,sK24,X1,sK22)
    | ~ midp(X0,sK27,X1)
    | ~ coll(sK24,sK27,sK22)
    | midp(sK24,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_61795,plain,
    ( ~ para(sK20,sK24,sK20,sK22)
    | ~ coll(sK24,sK27,sK22)
    | ~ midp(sK20,sK27,sK20)
    | midp(sK24,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_61794]) ).

cnf(c_61796,plain,
    ( ~ para(X0,sK24,X1,sK24)
    | ~ midp(X0,sK26,X1)
    | ~ coll(sK24,sK26,sK24)
    | midp(sK24,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_61797,plain,
    ( ~ para(sK20,sK24,sK20,sK24)
    | ~ coll(sK24,sK26,sK24)
    | ~ midp(sK20,sK26,sK20)
    | midp(sK24,sK26,sK24) ),
    inference(instantiation,[status(thm)],[c_61796]) ).

cnf(c_63517,plain,
    ( ~ para(sK26,X0,sK24,sK26)
    | ~ coll(X0,sK22,sK26)
    | ~ midp(sK26,sK22,sK24)
    | midp(X0,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_61781]) ).

cnf(c_63518,plain,
    ( ~ para(sK26,sK20,sK24,sK26)
    | ~ coll(sK20,sK22,sK26)
    | ~ midp(sK26,sK22,sK24)
    | midp(sK20,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_63517]) ).

cnf(c_63731,plain,
    ( ~ coll(sK24,sK22,sK27)
    | coll(sK24,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_64382,plain,
    ( ~ perp(X0,sK24,X1,X2)
    | ~ perp(X1,X2,X3,sK22)
    | para(X0,sK24,X3,sK22) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_64383,plain,
    ( ~ perp(sK20,sK20,sK20,sK22)
    | ~ perp(sK20,sK24,sK20,sK20)
    | para(sK20,sK24,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_64382]) ).

cnf(c_64585,plain,
    ( ~ eqangle(sK20,sK25,X0,X1,X2,X3,X0,X1)
    | para(sK20,sK25,X2,X3) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_64588,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(X0,sK25,X2)
    | para(sK20,sK25,X1,X2) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_64623,plain,
    ( ~ para(X0,X1,sK25,sK26)
    | para(sK25,sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_64746,plain,
    ( ~ para(sK20,sK25,sK27,sK25)
    | eqangle(sK20,sK25,sK27,sK25,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_8816]) ).

cnf(c_64747,plain,
    ( ~ para(sK20,sK25,sK27,sK25)
    | eqangle(sK20,sK25,sK27,sK25,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_64746]) ).

cnf(c_64988,plain,
    ( ~ coll(sK22,sK20,sK26)
    | coll(sK20,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_69779,plain,
    ( ~ para(sK25,sK26,sK25,sK22)
    | eqangle(sK25,sK26,sK25,sK22,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_8816]) ).

cnf(c_69780,plain,
    ( ~ para(sK25,sK26,sK25,sK22)
    | eqangle(sK25,sK26,sK25,sK22,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_69779]) ).

cnf(c_69996,plain,
    ( ~ eqangle(sK20,sK25,sK20,X0,sK20,sK25,sK20,X0)
    | para(sK20,sK25,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_64585]) ).

cnf(c_69998,plain,
    ( ~ eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20)
    | para(sK20,sK25,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_69996]) ).

cnf(c_70014,plain,
    ( ~ para(X0,X1,X0,X1)
    | eqangle(sK20,sK25,X0,X1,sK20,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_8772]) ).

cnf(c_70015,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK25,sK20,sK20,sK20,sK25,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_70014]) ).

cnf(c_71475,plain,
    ( ~ eqangle(sK20,sK25,sK27,sK25,X0,X1,X2,X3)
    | eqangle(X0,X1,X2,X3,sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_71476,plain,
    ( ~ eqangle(sK20,sK25,sK27,sK25,sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_71475]) ).

cnf(c_75458,plain,
    ( ~ midp(X0,sK20,sK27)
    | ~ midp(X0,sK25,sK25)
    | para(sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_64588]) ).

cnf(c_75459,plain,
    ( ~ midp(sK20,sK20,sK27)
    | ~ midp(sK20,sK25,sK25)
    | para(sK20,sK25,sK27,sK25) ),
    inference(instantiation,[status(thm)],[c_75458]) ).

cnf(c_78550,plain,
    ( ~ para(sK25,sK22,sK25,sK26)
    | para(sK25,sK26,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_64623]) ).

cnf(c_78551,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_78550,c_75459,c_71476,c_70015,c_69998,c_69780,c_64988,c_64747,c_64383,c_63731,c_63518,c_61797,c_61795,c_61587,c_61527,c_61521,c_61520,c_59140,c_58740,c_57607,c_56859,c_52390,c_47054,c_45904,c_38784,c_36790,c_36338,c_36317,c_35307,c_33485,c_33377,c_33339,c_33331,c_31554,c_31129,c_31125,c_31072,c_30921,c_30587,c_30533,c_28573,c_28560,c_28438,c_27192,c_24694,c_23305,c_22489,c_22488,c_21808,c_21417,c_20720,c_20639,c_20531,c_18611,c_17208,c_17113,c_16901,c_15668,c_15666,c_15533,c_15112,c_15110,c_14551,c_14503,c_14502,c_14498,c_13989,c_13975,c_13973,c_13971,c_13487,c_12789,c_12220,c_12099,c_11450,c_11168,c_11166,c_11148,c_11139,c_11119,c_10808,c_10504,c_9876,c_9695,c_9250,c_8715,c_6892,c_6830,c_6755,c_6692,c_6688,c_6567,c_6488,c_6455,c_6394,c_6377,c_6374,c_6372,c_234,c_185,c_180,c_176,c_162,c_163,c_165,c_166,c_168]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO571+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.34  % Computer : n006.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri May  3 01:09:04 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 65.85/9.81  % SZS status Started for theBenchmark.p
% 65.85/9.81  % SZS status Theorem for theBenchmark.p
% 65.85/9.81  
% 65.85/9.81  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 65.85/9.81  
% 65.85/9.81  ------  iProver source info
% 65.85/9.81  
% 65.85/9.81  git: date: 2024-05-02 19:28:25 +0000
% 65.85/9.81  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 65.85/9.81  git: non_committed_changes: false
% 65.85/9.81  
% 65.85/9.81  ------ Parsing...
% 65.85/9.81  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 65.85/9.81  
% 65.85/9.81  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 65.85/9.81  
% 65.85/9.81  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 65.85/9.81  
% 65.85/9.81  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 65.85/9.81  ------ Proving...
% 65.85/9.81  ------ Problem Properties 
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  clauses                                 121
% 65.85/9.81  conjectures                             9
% 65.85/9.81  EPR                                     84
% 65.85/9.81  Horn                                    111
% 65.85/9.81  unary                                   9
% 65.85/9.81  binary                                  37
% 65.85/9.81  lits                                    337
% 65.85/9.81  lits eq                                 4
% 65.85/9.81  fd_pure                                 0
% 65.85/9.81  fd_pseudo                               0
% 65.85/9.81  fd_cond                                 0
% 65.85/9.81  fd_pseudo_cond                          4
% 65.85/9.81  AC symbols                              0
% 65.85/9.81  
% 65.85/9.81  ------ Input Options Time Limit: Unbounded
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  ------ 
% 65.85/9.81  Current options:
% 65.85/9.81  ------ 
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  ------ Proving...
% 65.85/9.81  
% 65.85/9.81  
% 65.85/9.81  % SZS status Theorem for theBenchmark.p
% 65.85/9.81  
% 65.85/9.81  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 65.85/9.82  
% 65.85/9.82  
%------------------------------------------------------------------------------