TSTP Solution File: GEO612+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO612+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:12:05 EDT 2023

% Result   : Theorem 32.89s 5.23s
% Output   : CNFRefutation 32.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   50
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  734 ( 157 unt;   0 def)
%            Number of atoms       : 1754 (   8 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives : 1854 ( 834   ~; 825   |; 124   &)
%                                         (   0 <=>;  71  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-4 aty)
%            Number of variables   : 1375 (   0 sgn; 893   !;  31   ?)

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

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

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

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

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

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

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

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

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & perp(X0,X1,X2,X3) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

fof(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X2,X3,X4,X5)
        & para(X0,X1,X2,X3) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD10) ).

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

fof(f12,axiom,
    ! [X0,X1,X2,X7] :
      ( ( cong(X7,X0,X7,X2)
        & cong(X7,X0,X7,X1) )
     => circle(X7,X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD12) ).

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

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

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

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).

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

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

fof(f25,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cong(X2,X3,X4,X5)
        & cong(X0,X1,X2,X3) )
     => cong(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD25) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).

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

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

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

fof(f44,axiom,
    ! [X0,X1,X2,X8,X9,X14] :
      ( ( eqangle(X2,X0,X2,X1,X14,X8,X14,X9)
        & cyclic(X0,X1,X2,X14)
        & cyclic(X0,X1,X2,X9)
        & cyclic(X0,X1,X2,X8) )
     => cong(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD43) ).

fof(f45,axiom,
    ! [X0,X1,X2,X4,X5] :
      ( ( midp(X5,X0,X2)
        & midp(X4,X0,X1) )
     => para(X4,X5,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD44) ).

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

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

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

fof(f53,axiom,
    ! [X0,X1,X2,X6] :
      ( ( midp(X6,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X6,X1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD52) ).

fof(f54,axiom,
    ! [X0,X1,X2,X7] :
      ( ( coll(X7,X0,X2)
        & circle(X7,X0,X1,X2) )
     => perp(X0,X1,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD53) ).

fof(f56,axiom,
    ! [X0,X1,X6,X7] :
      ( ( perp(X7,X6,X0,X1)
        & midp(X6,X0,X1) )
     => cong(X7,X0,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD55) ).

fof(f57,axiom,
    ! [X0,X1,X8,X9] :
      ( ( cong(X0,X9,X1,X9)
        & cong(X0,X8,X1,X8) )
     => perp(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD56) ).

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

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

fof(f66,axiom,
    ! [X0,X1,X2,X3,X7] :
      ( ( coll(X7,X1,X3)
        & coll(X7,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD65) ).

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

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

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

fof(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/sandbox2/benchmark/theBenchmark.p',ruleD73) ).

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

fof(f76,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( cong(X8,X9,X10,X11)
        & eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).

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

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X12,X3,X4,X5,X18] :
      ( ( coll(X5,X1,X2)
        & perp(X5,X3,X1,X2)
        & coll(X4,X0,X2)
        & perp(X4,X3,X0,X2)
        & coll(X3,X2,X12)
        & circle(X7,X2,X3,X18)
        & coll(X12,X0,X1)
        & perp(X12,X2,X0,X1)
        & circle(X7,X0,X1,X2) )
     => cyclic(X0,X4,X5,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL618074) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X12,X3,X4,X5,X18] :
        ( ( coll(X5,X1,X2)
          & perp(X5,X3,X1,X2)
          & coll(X4,X0,X2)
          & perp(X4,X3,X0,X2)
          & coll(X3,X2,X12)
          & circle(X7,X2,X3,X18)
          & coll(X12,X0,X1)
          & perp(X12,X2,X0,X1)
          & circle(X7,X0,X1,X2) )
       => cyclic(X0,X4,X5,X1) ),
    inference(negated_conjecture,[],[f95]) ).

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

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

fof(f99,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( cong(X4,X0,X4,X3)
        & cong(X4,X0,X4,X2)
        & cong(X4,X0,X4,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f13]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f29]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(rectify,[],[f40]) ).

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

fof(f122,plain,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f43]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        & cyclic(X0,X1,X2,X5)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cong(X0,X1,X3,X4) ),
    inference(rectify,[],[f44]) ).

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

fof(f125,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    inference(rectify,[],[f46]) ).

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

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

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

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

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

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

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

fof(f144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X1,X3)
        & coll(X4,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    inference(rectify,[],[f66]) ).

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

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( cong(X4,X5,X6,X7)
        & eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    inference(rectify,[],[f76]) ).

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

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

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

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

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

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

fof(f172,plain,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f4]) ).

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

fof(f174,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f6]) ).

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

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

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

fof(f178,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f9]) ).

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

fof(f180,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f10]) ).

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

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

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

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

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

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

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

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

fof(f189,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f190]) ).

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(f205,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f108]) ).

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

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

fof(f223,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f122]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f223]) ).

fof(f225,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f123]) ).

fof(f226,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f225]) ).

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

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

fof(f229,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(ennf_transformation,[],[f125]) ).

fof(f230,plain,
    ! [X0,X1,X2,X3,X4] :
      ( midp(X4,X0,X2)
      | ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1) ),
    inference(flattening,[],[f229]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f265,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f265]) ).

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

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

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f148]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f282]) ).

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

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

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

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

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

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

fof(f359,plain,
    ( ~ cyclic(sK20,sK26,sK27,sK21)
    & coll(sK27,sK21,sK22)
    & perp(sK27,sK25,sK21,sK22)
    & coll(sK26,sK20,sK22)
    & perp(sK26,sK25,sK20,sK22)
    & coll(sK25,sK22,sK24)
    & circle(sK23,sK22,sK25,sK28)
    & coll(sK24,sK20,sK21)
    & perp(sK24,sK22,sK20,sK21)
    & 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(f372,plain,
    ! [X2,X3,X0,X1,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f187]) ).

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

fof(f375,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f189]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f191]) ).

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(f388,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f205]) ).

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

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

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

fof(f403,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f226]) ).

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

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

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

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

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

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

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

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

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

fof(f425,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f266]) ).

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

fof(f435,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f283]) ).

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

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

fof(f474,plain,
    perp(sK24,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

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

fof(f476,plain,
    circle(sK23,sK22,sK25,sK28),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f359]) ).

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

fof(f479,plain,
    coll(sK26,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK27,sK25,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    coll(sK27,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    ~ cyclic(sK20,sK26,sK27,sK21),
    inference(cnf_transformation,[],[f359]) ).

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

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

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

cnf(c_52,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f363]) ).

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

cnf(c_54,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f365]) ).

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

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

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

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

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

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

cnf(c_61,plain,
    ( ~ cong(X0,X1,X0,X2)
    | ~ cong(X0,X1,X0,X3)
    | ~ cong(X0,X1,X0,X4)
    | cyclic(X1,X3,X2,X4) ),
    inference(cnf_transformation,[],[f372]) ).

cnf(c_62,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f373]) ).

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

cnf(c_64,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f375]) ).

cnf(c_65,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X2,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f376]) ).

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_77,plain,
    ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f388]) ).

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

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

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

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

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

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

cnf(c_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_99,plain,
    ( ~ circle(X0,X1,X2,X3)
    | ~ midp(X4,X2,X3)
    | eqangle(X1,X2,X1,X3,X0,X2,X0,X4) ),
    inference(cnf_transformation,[],[f410]) ).

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

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

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

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

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

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

cnf(c_114,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ coll(X4,X0,X2)
    | ~ coll(X4,X1,X3)
    | eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    inference(cnf_transformation,[],[f425]) ).

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_123,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ perp(X4,X5,X6,X7)
    | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f434]) ).

cnf(c_124,plain,
    ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ cong(X4,X5,X6,X7)
    | cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f435]) ).

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

cnf(c_162,negated_conjecture,
    ~ cyclic(sK20,sK26,sK27,sK21),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_163,negated_conjecture,
    coll(sK27,sK21,sK22),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_164,negated_conjecture,
    perp(sK27,sK25,sK21,sK22),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_165,negated_conjecture,
    coll(sK26,sK20,sK22),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_166,negated_conjecture,
    perp(sK26,sK25,sK20,sK22),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_167,negated_conjecture,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_168,negated_conjecture,
    circle(sK23,sK22,sK25,sK28),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_169,negated_conjecture,
    coll(sK24,sK20,sK21),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_170,negated_conjecture,
    perp(sK24,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_171,negated_conjecture,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_177,plain,
    ( ~ cong(sK22,sK22,sK22,sK22)
    | ~ coll(sK22,sK22,sK22)
    | midp(sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_180,plain,
    ( ~ cyclic(sK22,sK22,sK22,sK22)
    | eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_186,plain,
    ( ~ cong(sK22,sK22,sK22,sK22)
    | perp(sK22,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_235,plain,
    ( ~ eqangle(sK22,sK22,sK22,sK22,sK22,sK22,sK22,sK22)
    | ~ cyclic(sK22,sK22,sK22,sK22)
    | cong(sK22,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_2180,plain,
    ( X0 != sK23
    | X1 != sK22
    | X2 != sK25
    | X3 != sK28
    | perp(sK11(X1,X2,X3,X0),X1,X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_148,c_168]) ).

cnf(c_2181,plain,
    perp(sK11(sK22,sK25,sK28,sK23),sK22,sK22,sK23),
    inference(unflattening,[status(thm)],[c_2180]) ).

cnf(c_2267,plain,
    ( X0 != sK23
    | X1 != sK20
    | X2 != sK21
    | X3 != sK22
    | ~ coll(X0,X1,X3)
    | perp(X1,X2,X2,X3) ),
    inference(resolution_lifted,[status(thm)],[c_102,c_171]) ).

cnf(c_2268,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(unflattening,[status(thm)],[c_2267]) ).

cnf(c_6370,plain,
    coll(sK27,sK22,sK21),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_6371,plain,
    coll(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_165,c_49]) ).

cnf(c_6372,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_6373,plain,
    coll(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_169,c_49]) ).

cnf(c_6378,plain,
    coll(sK21,sK27,sK22),
    inference(superposition,[status(thm)],[c_163,c_50]) ).

cnf(c_6379,plain,
    coll(sK20,sK26,sK22),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_6380,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_167,c_50]) ).

cnf(c_6386,plain,
    coll(sK22,sK27,sK21),
    inference(superposition,[status(thm)],[c_6370,c_50]) ).

cnf(c_6388,plain,
    coll(sK22,sK26,sK20),
    inference(superposition,[status(thm)],[c_6371,c_50]) ).

cnf(c_6450,plain,
    perp(sK27,sK25,sK22,sK21),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_6451,plain,
    perp(sK26,sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_166,c_55]) ).

cnf(c_6452,plain,
    perp(sK24,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_170,c_55]) ).

cnf(c_6462,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_6463,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_6464,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_167,c_51]) ).

cnf(c_6465,plain,
    ( ~ coll(sK24,sK20,X0)
    | coll(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_169,c_51]) ).

cnf(c_6466,plain,
    ( ~ coll(sK27,sK22,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6370,c_51]) ).

cnf(c_6468,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6372,c_51]) ).

cnf(c_6469,plain,
    ( ~ coll(sK24,sK21,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6373,c_51]) ).

cnf(c_6470,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK22,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6378,c_51]) ).

cnf(c_6471,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6379,c_51]) ).

cnf(c_6472,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6380,c_51]) ).

cnf(c_6474,plain,
    ( ~ coll(sK22,sK27,X0)
    | coll(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6386,c_51]) ).

cnf(c_6475,plain,
    ( ~ coll(sK22,sK26,X0)
    | coll(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6388,c_51]) ).

cnf(c_6541,plain,
    ( ~ coll(sK22,sK26,sK22)
    | coll(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6475]) ).

cnf(c_6544,plain,
    ( ~ coll(sK22,sK25,sK22)
    | coll(sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6472]) ).

cnf(c_6545,plain,
    ( ~ coll(sK20,sK26,sK22)
    | coll(sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6471]) ).

cnf(c_6546,plain,
    ( ~ coll(sK21,sK27,sK22)
    | coll(sK22,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_6470]) ).

cnf(c_6550,plain,
    ( ~ coll(sK26,sK20,sK22)
    | coll(sK22,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_6463]) ).

cnf(c_6551,plain,
    ( ~ coll(sK27,sK21,sK22)
    | coll(sK22,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_6462]) ).

cnf(c_6556,plain,
    perp(sK21,sK22,sK27,sK25),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_6557,plain,
    perp(sK20,sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_6558,plain,
    perp(sK20,sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_170,c_56]) ).

cnf(c_6559,plain,
    perp(sK22,sK21,sK27,sK25),
    inference(superposition,[status(thm)],[c_6450,c_56]) ).

cnf(c_6560,plain,
    perp(sK22,sK20,sK26,sK25),
    inference(superposition,[status(thm)],[c_6451,c_56]) ).

cnf(c_6561,plain,
    perp(sK21,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_6452,c_56]) ).

cnf(c_6579,plain,
    perp(sK20,sK21,sK22,sK24),
    inference(superposition,[status(thm)],[c_6558,c_55]) ).

cnf(c_6586,plain,
    coll(sK22,sK22,sK27),
    inference(superposition,[status(thm)],[c_163,c_6462]) ).

cnf(c_6587,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK27,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6586,c_51]) ).

cnf(c_6589,plain,
    coll(sK22,sK27,sK22),
    inference(superposition,[status(thm)],[c_6586,c_49]) ).

cnf(c_6597,plain,
    coll(sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_165,c_6463]) ).

cnf(c_6598,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6597,c_51]) ).

cnf(c_6600,plain,
    coll(sK22,sK26,sK22),
    inference(superposition,[status(thm)],[c_6597,c_49]) ).

cnf(c_6608,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_167,c_6464]) ).

cnf(c_6609,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6608,c_51]) ).

cnf(c_6618,plain,
    coll(sK21,sK21,sK24),
    inference(superposition,[status(thm)],[c_169,c_6465]) ).

cnf(c_6619,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK24,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6618,c_51]) ).

cnf(c_6629,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_6370,c_6466]) ).

cnf(c_6634,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_117,c_71]) ).

cnf(c_6652,plain,
    ( ~ coll(sK22,sK27,X0)
    | coll(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6589,c_51]) ).

cnf(c_6653,plain,
    coll(sK27,sK22,sK22),
    inference(superposition,[status(thm)],[c_6589,c_50]) ).

cnf(c_6657,plain,
    ( ~ coll(sK22,sK27,sK22)
    | coll(sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6652]) ).

cnf(c_6678,plain,
    coll(sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_6629,c_49]) ).

cnf(c_6689,plain,
    perp(sK22,sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_6579,c_56]) ).

cnf(c_6705,plain,
    coll(sK22,sK22,sK25),
    inference(superposition,[status(thm)],[c_6372,c_6468]) ).

cnf(c_6746,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6705,c_51]) ).

cnf(c_6748,plain,
    coll(sK22,sK25,sK22),
    inference(superposition,[status(thm)],[c_6705,c_49]) ).

cnf(c_6756,plain,
    coll(sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_6373,c_6469]) ).

cnf(c_6758,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6756,c_51]) ).

cnf(c_6760,plain,
    coll(sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_6756,c_49]) ).

cnf(c_6763,plain,
    ( ~ coll(sK20,sK20,sK22)
    | coll(sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6758]) ).

cnf(c_6768,plain,
    coll(sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_6378,c_6470]) ).

cnf(c_6779,plain,
    coll(sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6379,c_6471]) ).

cnf(c_6790,plain,
    coll(sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_6380,c_6472]) ).

cnf(c_6820,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6678,c_51]) ).

cnf(c_6821,plain,
    coll(sK27,sK21,sK21),
    inference(superposition,[status(thm)],[c_6678,c_50]) ).

cnf(c_6823,plain,
    coll(sK22,sK21,sK21),
    inference(superposition,[status(thm)],[c_6678,c_6470]) ).

cnf(c_6826,plain,
    ( ~ coll(sK21,sK27,sK22)
    | coll(sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_6820]) ).

cnf(c_6847,plain,
    coll(sK24,sK20,sK20),
    inference(superposition,[status(thm)],[c_6760,c_50]) ).

cnf(c_6877,plain,
    coll(sK27,sK20,sK22),
    inference(superposition,[status(thm)],[c_6779,c_6587]) ).

cnf(c_6903,plain,
    coll(sK26,sK21,sK22),
    inference(superposition,[status(thm)],[c_6768,c_6598]) ).

cnf(c_6928,plain,
    coll(sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_6386,c_6474]) ).

cnf(c_6979,plain,
    coll(sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_6823,c_50]) ).

cnf(c_6995,plain,
    coll(sK24,sK24,sK21),
    inference(superposition,[status(thm)],[c_6618,c_6619]) ).

cnf(c_6998,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6995,c_51]) ).

cnf(c_7001,plain,
    coll(sK25,sK21,sK24),
    inference(superposition,[status(thm)],[c_6995,c_6609]) ).

cnf(c_7004,plain,
    ( ~ coll(sK24,sK24,sK22)
    | coll(sK21,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_6998]) ).

cnf(c_7054,plain,
    coll(sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_6388,c_6475]) ).

cnf(c_7087,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_171,c_102]) ).

cnf(c_7102,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_7103,plain,
    ( ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_166,c_104]) ).

cnf(c_7104,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_170,c_104]) ).

cnf(c_7105,plain,
    ( ~ midp(sK25,sK22,sK21)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_6450,c_104]) ).

cnf(c_7106,plain,
    ( ~ midp(sK25,sK22,sK20)
    | cong(sK26,sK22,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_6451,c_104]) ).

cnf(c_7107,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK21,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_6452,c_104]) ).

cnf(c_7110,plain,
    ( ~ midp(sK21,sK24,sK22)
    | cong(sK20,sK24,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_6558,c_104]) ).

cnf(c_7113,plain,
    ( ~ midp(sK20,sK24,sK22)
    | cong(sK21,sK24,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_6561,c_104]) ).

cnf(c_7116,plain,
    ( ~ midp(sK21,sK22,sK24)
    | cong(sK20,sK22,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_6579,c_104]) ).

cnf(c_7191,plain,
    coll(sK27,sK22,sK20),
    inference(superposition,[status(thm)],[c_6877,c_49]) ).

cnf(c_7217,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_7087,c_104]) ).

cnf(c_7218,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7087,c_56]) ).

cnf(c_7219,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_7087,c_55]) ).

cnf(c_7220,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK23,sK20,sK22)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_7087,c_101]) ).

cnf(c_7253,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_7102,c_72]) ).

cnf(c_7289,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK21,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_7104,c_72]) ).

cnf(c_7321,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | para(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_7322,plain,
    ( ~ perp(sK20,sK22,X0,X1)
    | para(sK26,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_166,c_57]) ).

cnf(c_7323,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_170,c_57]) ).

cnf(c_7328,plain,
    ( ~ perp(sK21,sK20,X0,X1)
    | para(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6452,c_57]) ).

cnf(c_7329,plain,
    ( ~ perp(sK27,sK25,X0,X1)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6556,c_57]) ).

cnf(c_7330,plain,
    ( ~ perp(sK26,sK25,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6557,c_57]) ).

cnf(c_7331,plain,
    ( ~ perp(sK24,sK22,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_6558,c_57]) ).

cnf(c_7332,plain,
    ( ~ perp(sK27,sK25,X0,X1)
    | para(sK22,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_6559,c_57]) ).

cnf(c_7423,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7102,c_60]) ).

cnf(c_7424,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7103,c_60]) ).

cnf(c_7425,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7104,c_60]) ).

cnf(c_7494,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK24,sK22,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_7087,c_7323]) ).

cnf(c_7496,plain,
    para(sK24,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_6579,c_7323]) ).

cnf(c_7568,plain,
    ( ~ cong(sK27,sK22,X0,X1)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_7102,c_73]) ).

cnf(c_7569,plain,
    ( ~ cong(sK26,sK22,X0,X1)
    | ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7103,c_73]) ).

cnf(c_7570,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7104,c_73]) ).

cnf(c_7602,plain,
    coll(sK26,sK22,sK21),
    inference(superposition,[status(thm)],[c_6903,c_49]) ).

cnf(c_7634,plain,
    coll(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_6928,c_6619]) ).

cnf(c_7639,plain,
    para(sK22,sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_7496,c_53]) ).

cnf(c_7654,plain,
    ( ~ midp(sK25,sK22,sK21)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(superposition,[status(thm)],[c_7105,c_72]) ).

cnf(c_7680,plain,
    ( ~ coll(sK26,sK22,sK20)
    | ~ midp(sK25,sK22,sK20)
    | midp(sK26,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_7106,c_116]) ).

cnf(c_7682,plain,
    ( ~ midp(sK25,sK22,sK20)
    | cong(sK26,sK20,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_7106,c_72]) ).

cnf(c_7688,plain,
    ( ~ midp(sK25,sK22,sK20)
    | midp(sK26,sK22,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7680,c_6371]) ).

cnf(c_7727,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_7107,c_72]) ).

cnf(c_7812,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ coll(sK22,X0,sK23)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_7813,plain,
    ( ~ coll(sK22,sK22,sK20)
    | ~ coll(sK22,sK22,sK23)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_7812]) ).

cnf(c_7905,plain,
    ( ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK22,sK23)
    | perp(sK22,sK23,sK11(sK22,sK25,sK28,sK23),sK22) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_7906,plain,
    ( ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK22,sK23)
    | perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_7938,plain,
    ( ~ cong(sK20,sK24,sK20,X0)
    | ~ midp(sK21,sK24,sK22)
    | circle(sK20,sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7110,c_60]) ).

cnf(c_7957,plain,
    ( ~ cong(sK20,sK24,sK20,sK22)
    | ~ midp(sK21,sK24,sK22)
    | circle(sK20,sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_7938]) ).

cnf(c_7997,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7218,c_104]) ).

cnf(c_7999,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK22,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_7218,c_55]) ).

cnf(c_8000,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK27,sK25,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7218,c_7321]) ).

cnf(c_8017,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7219,c_104]) ).

cnf(c_8149,plain,
    coll(sK25,sK24,sK21),
    inference(superposition,[status(thm)],[c_7001,c_49]) ).

cnf(c_8259,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | ~ coll(sK23,sK20,sK22)
    | perp(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_7494,c_58]) ).

cnf(c_8261,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK21,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_7494,c_53]) ).

cnf(c_8466,plain,
    para(sK21,sK22,sK21,sK22),
    inference(superposition,[status(thm)],[c_164,c_7329]) ).

cnf(c_8467,plain,
    para(sK21,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_6450,c_7329]) ).

cnf(c_8474,plain,
    ( ~ para(sK22,sK21,X0,X1)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_8467,c_54]) ).

cnf(c_8475,plain,
    para(sK22,sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_8467,c_53]) ).

cnf(c_8894,plain,
    coll(sK21,sK20,sK27),
    inference(superposition,[status(thm)],[c_7191,c_6466]) ).

cnf(c_8988,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_166,c_7330]) ).

cnf(c_8989,plain,
    para(sK20,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6451,c_7330]) ).

cnf(c_9007,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK20,X0,sK22)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_8989,c_94]) ).

cnf(c_9010,plain,
    para(sK22,sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_8989,c_53]) ).

cnf(c_9030,plain,
    ( ~ perp(sK27,sK25,X0,X1)
    | ~ perp(sK22,sK21,sK27,sK25)
    | para(sK22,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_9044,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6452,c_7331]) ).

cnf(c_9058,plain,
    para(sK21,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_9044,c_53]) ).

cnf(c_9124,plain,
    ( ~ perp(sK26,sK25,X0,X1)
    | ~ perp(sK22,sK20,sK26,sK25)
    | para(sK22,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_9437,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_7217,c_71]) ).

cnf(c_9471,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK23,sK20,sK22)
    | cong(sK21,X0,sK20,X0) ),
    inference(superposition,[status(thm)],[c_7220,c_72]) ).

cnf(c_9489,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK22,sK20,sK22)
    | cong(sK21,sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_9471]) ).

cnf(c_9534,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_117,c_7423]) ).

cnf(c_9535,plain,
    ( ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7102,c_7423]) ).

cnf(c_9714,plain,
    ( ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_9535,c_102]) ).

cnf(c_9715,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9714,c_163]) ).

cnf(c_9722,plain,
    ( ~ perp(sK22,sK22,X0,X1)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_9715,c_57]) ).

cnf(c_9928,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_117,c_7424]) ).

cnf(c_9972,plain,
    ( ~ circle(sK20,sK21,X0,X1)
    | ~ coll(sK23,sK20,sK22)
    | eqangle(sK21,sK22,sK21,X0,X1,sK21,X1,X0) ),
    inference(superposition,[status(thm)],[c_7087,c_97]) ).

cnf(c_10130,plain,
    coll(sK22,sK26,sK21),
    inference(superposition,[status(thm)],[c_7602,c_50]) ).

cnf(c_10329,plain,
    ( ~ midp(sK24,sK20,X0)
    | ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_117,c_7425]) ).

cnf(c_10331,plain,
    ( ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7104,c_7425]) ).

cnf(c_10356,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_10331,c_102]) ).

cnf(c_10357,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10356,c_169]) ).

cnf(c_10399,plain,
    ( ~ para(sK20,sK22,sK20,sK22)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_8988,c_113]) ).

cnf(c_10400,plain,
    ( ~ para(sK20,sK20,sK22,sK22)
    | ~ midp(X0,sK20,sK22)
    | midp(X0,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_8989,c_113]) ).

cnf(c_10412,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10399,c_8988]) ).

cnf(c_10626,plain,
    ( ~ perp(sK21,sK21,X0,X1)
    | ~ midp(sK22,sK20,sK21)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_10357,c_57]) ).

cnf(c_10628,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK21,sK21,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_10357,c_56]) ).

cnf(c_10669,plain,
    ( ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,X0,X1)
    | ~ perp(sK22,sK23,sK11(sK22,sK25,sK28,sK23),sK22)
    | para(sK22,sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_10711,plain,
    ( ~ midp(sK21,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_10628,c_104]) ).

cnf(c_11057,plain,
    coll(sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_7634,c_49]) ).

cnf(c_11087,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_7253,c_7568]) ).

cnf(c_11114,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,sK26,X0) ),
    inference(superposition,[status(thm)],[c_117,c_7569]) ).

cnf(c_11142,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,X0) ),
    inference(superposition,[status(thm)],[c_117,c_7570]) ).

cnf(c_11144,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_7289,c_7570]) ).

cnf(c_11956,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ cong(sK27,sK21,sK27,X1)
    | ~ midp(sK25,sK21,sK22)
    | cyclic(sK21,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_7102,c_61]) ).

cnf(c_11957,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | ~ cong(sK26,sK20,sK26,X1)
    | ~ midp(sK25,sK20,sK22)
    | cyclic(sK20,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_7103,c_61]) ).

cnf(c_12121,plain,
    ( ~ coll(sK23,X0,X1)
    | ~ coll(sK23,X0,sK22)
    | coll(sK22,X1,sK23) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_12122,plain,
    ( ~ coll(sK23,sK22,sK22)
    | coll(sK22,sK22,sK23) ),
    inference(instantiation,[status(thm)],[c_12121]) ).

cnf(c_12151,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_8149,c_51]) ).

cnf(c_12157,plain,
    ( ~ coll(sK25,sK24,sK22)
    | coll(sK21,sK22,sK25) ),
    inference(instantiation,[status(thm)],[c_12151]) ).

cnf(c_12285,plain,
    ( ~ perp(X0,sK21,X0,X1)
    | ~ circle(sK20,sK21,X1,X0)
    | ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK22,sK21,X1) ),
    inference(superposition,[status(thm)],[c_9972,c_123]) ).

cnf(c_12326,plain,
    ( ~ perp(sK22,sK21,sK22,sK22)
    | ~ circle(sK20,sK21,sK22,sK22)
    | ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK22,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_12285]) ).

cnf(c_12922,plain,
    coll(sK21,sK27,sK20),
    inference(superposition,[status(thm)],[c_8894,c_49]) ).

cnf(c_13001,plain,
    ( ~ para(sK23,X0,sK23,X1)
    | coll(sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_13004,plain,
    ( ~ para(sK23,sK22,sK23,sK22)
    | coll(sK23,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_13001]) ).

cnf(c_13712,plain,
    ( ~ para(sK21,sK22,sK21,sK22)
    | ~ coll(X0,sK21,sK21)
    | ~ coll(X0,sK22,sK22)
    | eqratio(X0,sK21,sK21,sK21,X0,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_14802,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ midp(sK25,sK21,sK22)
    | cyclic(sK21,sK22,sK22,X0) ),
    inference(superposition,[status(thm)],[c_7102,c_11956]) ).

cnf(c_14899,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | ~ midp(sK25,sK20,sK22)
    | cyclic(sK20,sK22,sK22,X0) ),
    inference(superposition,[status(thm)],[c_7103,c_11957]) ).

cnf(c_16093,plain,
    coll(sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_10130,c_6475]) ).

cnf(c_17065,plain,
    coll(sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_11057,c_50]) ).

cnf(c_17067,plain,
    coll(sK20,sK22,sK24),
    inference(superposition,[status(thm)],[c_11057,c_6469]) ).

cnf(c_18924,plain,
    coll(sK25,sK20,sK22),
    inference(superposition,[status(thm)],[c_6779,c_6746]) ).

cnf(c_18981,plain,
    coll(sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_12922,c_6470]) ).

cnf(c_19291,plain,
    coll(sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_18924,c_49]) ).

cnf(c_19318,plain,
    coll(sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_18981,c_49]) ).

cnf(c_19556,plain,
    ( ~ perp(sK27,sK25,sK22,sK21)
    | ~ perp(sK22,sK21,sK27,sK25)
    | para(sK22,sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_9030]) ).

cnf(c_19564,plain,
    ( ~ midp(sK24,sK20,sK21)
    | cong(sK22,sK20,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_6689,c_104]) ).

cnf(c_19573,plain,
    ( ~ perp(sK26,sK25,sK22,sK20)
    | ~ perp(sK22,sK20,sK26,sK25)
    | para(sK22,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_9124]) ).

cnf(c_19643,plain,
    para(sK22,sK24,sK22,sK24),
    inference(superposition,[status(thm)],[c_7639,c_52]) ).

cnf(c_19659,plain,
    ( ~ perp(sK11(sK22,sK25,sK28,sK23),sK22,sK23,sK22)
    | ~ perp(sK22,sK23,sK11(sK22,sK25,sK28,sK23),sK22)
    | para(sK22,sK23,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_10669]) ).

cnf(c_19666,plain,
    para(sK22,sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_8475,c_52]) ).

cnf(c_19738,plain,
    ( ~ coll(sK20,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9010,c_94]) ).

cnf(c_19755,plain,
    ( ~ coll(sK20,sK22,sK22)
    | ~ midp(sK22,sK22,sK20)
    | midp(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_19738]) ).

cnf(c_21007,plain,
    ( ~ coll(sK21,sK24,sK22)
    | ~ midp(sK20,sK24,sK22)
    | midp(sK21,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_7113,c_116]) ).

cnf(c_21022,plain,
    ( ~ midp(sK20,sK24,sK22)
    | midp(sK21,sK24,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21007,c_17065]) ).

cnf(c_21415,plain,
    ( ~ coll(sK20,sK22,sK24)
    | ~ midp(sK21,sK22,sK24)
    | midp(sK20,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_7116,c_116]) ).

cnf(c_21421,plain,
    ( ~ midp(sK21,sK22,sK24)
    | cong(sK20,sK24,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_7116,c_72]) ).

cnf(c_21430,plain,
    ( ~ midp(sK21,sK22,sK24)
    | midp(sK20,sK22,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21415,c_17067]) ).

cnf(c_21685,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ midp(sK25,sK22,sK21)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7654,c_60]) ).

cnf(c_21697,plain,
    ( ~ midp(sK25,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | cyclic(sK21,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7654,c_14802]) ).

cnf(c_21699,plain,
    ( ~ midp(sK25,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | circle(sK27,sK21,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7654,c_7423]) ).

cnf(c_21757,plain,
    ( ~ cong(sK27,sK21,sK27,sK22)
    | ~ midp(sK25,sK22,sK21)
    | circle(sK27,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_21685]) ).

cnf(c_21831,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | ~ midp(sK25,sK22,sK20)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7682,c_60]) ).

cnf(c_21843,plain,
    ( ~ midp(sK25,sK20,sK22)
    | ~ midp(sK25,sK22,sK20)
    | cyclic(sK20,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7682,c_14899]) ).

cnf(c_21845,plain,
    ( ~ midp(sK25,sK20,sK22)
    | ~ midp(sK25,sK22,sK20)
    | circle(sK26,sK20,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7682,c_7424]) ).

cnf(c_21915,plain,
    ( ~ cong(sK26,sK20,sK26,sK22)
    | ~ midp(sK25,sK22,sK20)
    | circle(sK26,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_21831]) ).

cnf(c_22199,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ midp(sK22,sK21,sK20)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7727,c_60]) ).

cnf(c_22200,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7727,c_116]) ).

cnf(c_22205,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7727,c_73]) ).

cnf(c_22220,plain,
    ( ~ midp(sK22,sK21,sK20)
    | midp(sK24,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22200,c_169]) ).

cnf(c_22711,plain,
    ( ~ para(sK20,sK21,X0,X1)
    | ~ para(sK21,sK20,sK20,sK21)
    | para(sK21,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_22858,plain,
    ( ~ para(sK22,sK21,sK22,sK21)
    | eqangle(sK22,sK21,X0,X1,sK22,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_22870,plain,
    ( ~ para(sK22,sK21,sK22,sK21)
    | eqangle(sK22,sK21,sK22,sK22,sK22,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_22858]) ).

cnf(c_22932,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_7999,c_56]) ).

cnf(c_22945,plain,
    ( ~ para(sK22,sK20,sK22,sK20)
    | eqangle(sK22,sK20,X0,X1,sK22,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_22957,plain,
    ( ~ para(sK22,sK20,sK22,sK20)
    | eqangle(sK22,sK20,sK22,sK22,sK22,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_22945]) ).

cnf(c_23524,plain,
    ( ~ eqratio(X0,sK21,sK21,sK21,X0,sK22,sK22,sK22)
    | eqratio(X0,sK21,X0,sK22,sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_24057,plain,
    ( ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_11087,c_7423]) ).

cnf(c_24280,plain,
    ( ~ coll(sK24,sK20,sK20)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_11144,c_116]) ).

cnf(c_24303,plain,
    ( ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24280,c_6847]) ).

cnf(c_24795,plain,
    ( ~ para(sK22,sK24,sK22,sK24)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_19643,c_113]) ).

cnf(c_24805,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24795,c_19643]) ).

cnf(c_24811,plain,
    ( ~ coll(sK21,X0,sK21)
    | ~ midp(sK22,X0,sK22)
    | midp(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_19666,c_94]) ).

cnf(c_24824,plain,
    ( ~ coll(sK21,sK22,sK21)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_24811]) ).

cnf(c_24984,plain,
    ( ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_24057,c_102]) ).

cnf(c_24985,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK21,sK21,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24984,c_163]) ).

cnf(c_24995,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_24985,c_55]) ).

cnf(c_25001,plain,
    ( ~ midp(sK22,sK20,sK21)
    | ~ midp(sK25,sK21,sK22)
    | para(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_24985,c_10626]) ).

cnf(c_25226,plain,
    ( ~ midp(sK21,sK22,sK21)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK21,sK22,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_24995,c_104]) ).

cnf(c_25229,plain,
    ( ~ midp(sK22,sK20,sK21)
    | ~ midp(sK25,sK21,sK22)
    | para(sK20,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_24995,c_10626]) ).

cnf(c_25554,plain,
    ( ~ para(sK22,sK23,sK23,sK22)
    | para(sK23,sK22,sK22,sK23) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_29336,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_9715,c_8259]) ).

cnf(c_31290,plain,
    ( ~ midp(sK20,sK21,sK22)
    | midp(sK22,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_19318,c_9007]) ).

cnf(c_32135,plain,
    ( ~ para(sK23,X0,X1,sK23)
    | para(sK23,X0,sK23,X1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_32136,plain,
    ( ~ para(sK23,sK22,sK22,sK23)
    | para(sK23,sK22,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_32135]) ).

cnf(c_32137,plain,
    ( ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK22,sK20,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_8017,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_8017,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_32151,plain,
    ( ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_32137,c_72]) ).

cnf(c_32913,plain,
    ( ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK22,sK20) ),
    inference(global_subsumption_just,[status(thm)],[c_9437,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_9437,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_32919,plain,
    ( ~ cong(sK22,sK20,X0,X1)
    | ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_32913,c_73]) ).

cnf(c_32927,plain,
    ( ~ cong(sK22,sK20,sK22,sK22)
    | ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_32919]) ).

cnf(c_32928,plain,
    ( ~ midp(X0,sK20,sK22)
    | cong(sK21,X0,sK20,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9471,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_9471,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_32938,plain,
    ( ~ cong(sK21,X0,sK20,X0)
    | ~ midp(X1,sK20,sK22)
    | perp(sK21,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_32928,c_105]) ).

cnf(c_32951,plain,
    ( ~ cong(sK21,sK22,sK20,sK22)
    | ~ midp(sK22,sK20,sK22)
    | perp(sK21,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_32938]) ).

cnf(c_33143,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9534,c_102]) ).

cnf(c_33144,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33143,c_163]) ).

cnf(c_33154,plain,
    ( ~ perp(X0,sK22,X1,X2)
    | ~ midp(sK27,sK21,X0)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_33144,c_57]) ).

cnf(c_33163,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_33144,c_8259]) ).

cnf(c_33168,plain,
    ( ~ midp(sK27,sK21,sK20)
    | ~ midp(sK25,sK21,sK22)
    | para(sK24,sK22,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_33144,c_7328]) ).

cnf(c_33656,plain,
    ( ~ midp(sK27,sK21,sK20)
    | ~ midp(sK25,sK21,sK22)
    | para(sK20,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_33168,c_53]) ).

cnf(c_34164,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_33163,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_12122,c_13004,c_19659,c_25554,c_29336,c_32136]) ).

cnf(c_34172,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK22,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_34164,c_56]) ).

cnf(c_35489,plain,
    ( ~ midp(sK25,sK21,sK22)
    | para(sK21,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_34172,c_9722]) ).

cnf(c_35879,plain,
    para(sK21,sK22,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_35489,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_8261,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_35885,plain,
    para(sK24,sK22,sK21,sK22),
    inference(superposition,[status(thm)],[c_35879,c_53]) ).

cnf(c_36205,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9928,c_102]) ).

cnf(c_36206,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36205,c_165]) ).

cnf(c_36218,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(X0,sK22,sK20,X0) ),
    inference(superposition,[status(thm)],[c_36206,c_56]) ).

cnf(c_36352,plain,
    ( ~ midp(sK26,sK20,sK21)
    | ~ midp(sK25,sK20,sK22)
    | para(sK27,sK25,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_36218,c_7321]) ).

cnf(c_36469,plain,
    para(sK24,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_35885,c_52]) ).

cnf(c_36571,plain,
    para(sK22,sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_36469,c_53]) ).

cnf(c_36613,plain,
    para(sK22,sK21,sK22,sK24),
    inference(superposition,[status(thm)],[c_36571,c_52]) ).

cnf(c_36683,plain,
    ( ~ coll(sK21,X0,sK24)
    | ~ midp(sK22,X0,sK22)
    | midp(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_36613,c_94]) ).

cnf(c_36703,plain,
    ( ~ coll(sK21,sK22,sK24)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK21,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_36683]) ).

cnf(c_36905,plain,
    para(sK27,sK25,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_36352,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_8000,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_36909,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | perp(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_36905,c_58]) ).

cnf(c_36910,plain,
    ( ~ para(sK20,sK21,X0,X1)
    | para(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_36905,c_54]) ).

cnf(c_36912,plain,
    para(sK27,sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_36905,c_52]) ).

cnf(c_37746,plain,
    ( ~ coll(sK25,X0,sK20)
    | ~ midp(sK27,X0,sK21)
    | midp(sK25,X0,sK20) ),
    inference(superposition,[status(thm)],[c_36912,c_94]) ).

cnf(c_37763,plain,
    ( ~ coll(sK25,sK22,sK20)
    | ~ midp(sK27,sK22,sK21)
    | midp(sK25,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_37746]) ).

cnf(c_38044,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | ~ perp(sK20,sK21,sK21,sK22)
    | para(sK20,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_39117,plain,
    ( ~ para(X0,sK21,sK21,sK22)
    | para(X0,sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_39592,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK27,sK25,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_10357,c_36909]) ).

cnf(c_39642,plain,
    ( ~ midp(sK22,sK20,sK21)
    | para(sK22,sK21,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_39592,c_7332]) ).

cnf(c_41198,plain,
    ( ~ midp(sK24,sK20,X0)
    | ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | perp(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_10329,c_102]) ).

cnf(c_41199,plain,
    ( ~ midp(sK24,sK20,X0)
    | ~ midp(sK22,sK20,sK21)
    | perp(sK20,X0,X0,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_41198,c_169]) ).

cnf(c_41239,plain,
    ( ~ midp(sK27,sK21,sK20)
    | ~ midp(sK22,sK20,sK21)
    | ~ midp(sK25,sK21,sK22)
    | ~ midp(sK24,sK20,sK22)
    | para(sK21,sK20,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_41199,c_33154]) ).

cnf(c_41735,plain,
    ( ~ para(sK20,sK21,sK22,sK21)
    | ~ para(sK21,sK20,sK20,sK21)
    | para(sK21,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_22711]) ).

cnf(c_42999,plain,
    ( ~ midp(sK25,sK21,sK22)
    | ~ midp(sK22,sK20,sK21)
    | para(sK21,sK20,sK22,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_41239,c_9058,c_25229,c_41735]) ).

cnf(c_43000,plain,
    ( ~ midp(sK22,sK20,sK21)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,sK20,sK22,sK21) ),
    inference(renaming,[status(thm)],[c_42999]) ).

cnf(c_43171,plain,
    ( ~ eqangle(sK22,sK21,sK22,X0,sK22,sK21,sK22,X0)
    | ~ coll(sK22,sK22,X0)
    | cyclic(sK21,X0,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_43172,plain,
    ( ~ eqangle(sK22,sK21,sK22,sK22,sK22,sK21,sK22,sK22)
    | ~ coll(sK22,sK22,sK22)
    | cyclic(sK21,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_43171]) ).

cnf(c_43914,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_10711,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_7997,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_44351,plain,
    ( ~ eqangle(sK22,sK20,sK22,X0,sK22,sK20,sK22,X0)
    | ~ coll(sK22,sK22,X0)
    | cyclic(sK20,X0,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_44352,plain,
    ( ~ eqangle(sK22,sK20,sK22,sK22,sK22,sK20,sK22,sK22)
    | ~ coll(sK22,sK22,sK22)
    | cyclic(sK20,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_44351]) ).

cnf(c_45245,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_11114,c_7424]) ).

cnf(c_45431,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_11142,c_7425]) ).

cnf(c_46044,plain,
    cyclic(sK21,sK22,sK22,sK22),
    inference(global_subsumption_just,[status(thm)],[c_21697,c_6450,c_6559,c_6589,c_6657,c_19556,c_22870,c_43172]) ).

cnf(c_46047,plain,
    ( ~ cyclic(sK21,sK22,sK22,X0)
    | cyclic(sK22,sK22,sK22,X0) ),
    inference(superposition,[status(thm)],[c_46044,c_65]) ).

cnf(c_46055,plain,
    ( ~ cyclic(sK21,sK22,sK22,sK22)
    | cyclic(sK22,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_46047]) ).

cnf(c_46056,plain,
    ( ~ midp(sK25,sK22,sK21)
    | circle(sK27,sK21,sK22,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_21699,c_7654,c_21757]) ).

cnf(c_46062,plain,
    ( ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_46056,c_102]) ).

cnf(c_46064,plain,
    ( ~ midp(sK25,sK22,sK21)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_46062,c_163]) ).

cnf(c_46092,plain,
    ( ~ midp(X0,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | cong(sK21,X0,sK22,X0) ),
    inference(superposition,[status(thm)],[c_46064,c_101]) ).

cnf(c_46366,plain,
    midp(sK20,sK22,sK24),
    inference(global_subsumption_just,[status(thm)],[c_21430,c_177,c_180,c_235,c_6450,c_6559,c_6589,c_6657,c_6790,c_7004,c_19556,c_21430,c_22870,c_36703,c_43172,c_46055]) ).

cnf(c_46369,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK20,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_46366,c_93]) ).

cnf(c_46371,plain,
    midp(sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_46366,c_59]) ).

cnf(c_46376,plain,
    midp(sK21,sK24,sK22),
    inference(backward_subsumption_resolution,[status(thm)],[c_21022,c_46371]) ).

cnf(c_46381,plain,
    ( ~ midp(sK22,sK22,sK22)
    | para(sK20,sK22,sK24,sK22) ),
    inference(instantiation,[status(thm)],[c_46369]) ).

cnf(c_46383,plain,
    ( ~ midp(sK20,X0,X1)
    | para(sK24,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_46371,c_112]) ).

cnf(c_46392,plain,
    ( ~ midp(sK20,sK22,sK22)
    | para(sK24,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_46383]) ).

cnf(c_46554,plain,
    ( ~ midp(X0,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | cong(sK22,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_46092,c_72]) ).

cnf(c_48125,plain,
    cyclic(sK20,sK22,sK22,sK22),
    inference(global_subsumption_just,[status(thm)],[c_21843,c_6451,c_6560,c_6589,c_6657,c_19573,c_22957,c_44352]) ).

cnf(c_48129,plain,
    cyclic(sK22,sK20,sK22,sK22),
    inference(superposition,[status(thm)],[c_48125,c_64]) ).

cnf(c_48196,plain,
    ( ~ midp(sK25,sK22,sK20)
    | circle(sK26,sK20,sK22,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_21845,c_7682,c_21915]) ).

cnf(c_48202,plain,
    ( ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK22,sK20)
    | perp(sK20,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_48196,c_102]) ).

cnf(c_48203,plain,
    ( ~ midp(sK25,sK22,sK20)
    | perp(sK20,sK22,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_48202,c_165]) ).

cnf(c_48212,plain,
    ( ~ midp(sK25,sK22,sK20)
    | perp(sK22,sK22,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_48203,c_56]) ).

cnf(c_48521,plain,
    ( ~ midp(sK22,sK20,sK22)
    | ~ midp(sK25,sK22,sK20)
    | cong(sK22,sK20,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_48212,c_104]) ).

cnf(c_51197,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK21,sK22,sK21,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_25226,c_177,c_180,c_235,c_6378,c_6450,c_6559,c_6589,c_6657,c_6826,c_19556,c_22870,c_24824,c_25226,c_43172,c_46055]) ).

cnf(c_51205,plain,
    ( ~ coll(sK21,sK22,sK21)
    | ~ midp(sK25,sK21,sK22)
    | midp(sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_51197,c_116]) ).

cnf(c_51218,plain,
    ( ~ midp(sK25,sK21,sK22)
    | midp(sK21,sK22,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_51205,c_6979]) ).

cnf(c_53882,plain,
    para(sK20,sK22,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_33656,c_177,c_180,c_235,c_6450,c_6559,c_6589,c_6657,c_19556,c_22870,c_43172,c_46055,c_46381]) ).

cnf(c_53888,plain,
    para(sK24,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_53882,c_53]) ).

cnf(c_53889,plain,
    para(sK20,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_53882,c_52]) ).

cnf(c_54292,plain,
    para(sK24,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_53888,c_52]) ).

cnf(c_54323,plain,
    para(sK22,sK24,sK20,sK22),
    inference(superposition,[status(thm)],[c_53889,c_53]) ).

cnf(c_54343,plain,
    para(sK22,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_54292,c_53]) ).

cnf(c_54382,plain,
    ( ~ coll(sK24,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_54323,c_94]) ).

cnf(c_54386,plain,
    para(sK22,sK24,sK22,sK20),
    inference(superposition,[status(thm)],[c_54323,c_52]) ).

cnf(c_54400,plain,
    ( ~ coll(sK24,sK22,sK22)
    | ~ midp(sK22,sK22,sK20)
    | midp(sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_54382]) ).

cnf(c_54407,plain,
    para(sK22,sK20,sK22,sK24),
    inference(superposition,[status(thm)],[c_54343,c_52]) ).

cnf(c_54457,plain,
    ( ~ coll(sK24,X0,sK20)
    | ~ midp(sK22,X0,sK22)
    | midp(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_54386,c_94]) ).

cnf(c_54476,plain,
    ( ~ coll(sK24,sK22,sK20)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_54457]) ).

cnf(c_54478,plain,
    ( ~ para(sK22,sK24,sK22,sK20)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_54407,c_113]) ).

cnf(c_54493,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK20,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_54478,c_54386]) ).

cnf(c_55829,plain,
    ( ~ cong(sK27,sK21,sK27,sK22)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_56146,plain,
    perp(sK21,sK20,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_22932,c_2181,c_6379,c_6545,c_7813,c_7906,c_7905,c_12122,c_13004,c_19659,c_22932,c_25554,c_32136]) ).

cnf(c_56151,plain,
    perp(sK21,sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_56146,c_55]) ).

cnf(c_56192,plain,
    perp(sK22,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_56151,c_56]) ).

cnf(c_56253,plain,
    ( ~ perp(sK21,sK20,X0,X1)
    | para(sK22,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_56192,c_57]) ).

cnf(c_56261,plain,
    ( ~ midp(X0,sK22,sK20)
    | cong(sK22,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_56192,c_101]) ).

cnf(c_56284,plain,
    ( ~ perp(sK21,sK20,sK22,sK22)
    | para(sK22,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_56253]) ).

cnf(c_61116,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_171,c_102]) ).

cnf(c_61179,plain,
    perp(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_61116,c_2181,c_2268,c_6379,c_6545,c_7813,c_7906,c_7905,c_12122,c_13004,c_19659,c_25554,c_32136]) ).

cnf(c_61226,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_170,c_104]) ).

cnf(c_61228,plain,
    ( ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_61179,c_104]) ).

cnf(c_61585,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_61226,c_73]) ).

cnf(c_62453,plain,
    cong(sK20,sK21,sK20,sK22),
    inference(global_subsumption_just,[status(thm)],[c_61228,c_177,c_180,c_235,c_6378,c_6450,c_6559,c_6589,c_6657,c_6826,c_19556,c_22870,c_24824,c_32151,c_43172,c_46055]) ).

cnf(c_62455,plain,
    ( ~ cong(sK20,sK21,sK20,X0)
    | circle(sK20,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_62453,c_60]) ).

cnf(c_62456,plain,
    ( ~ coll(sK20,sK21,sK22)
    | midp(sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_62453,c_116]) ).

cnf(c_62467,plain,
    ( ~ cong(sK20,sK21,sK20,sK22)
    | circle(sK20,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_62455]) ).

cnf(c_65440,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | cong(sK24,sK20,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_61585,c_16093,c_22205,c_31290,c_62456]) ).

cnf(c_65447,plain,
    ( ~ midp(sK24,sK21,X0)
    | cong(sK24,sK20,sK24,X0) ),
    inference(superposition,[status(thm)],[c_117,c_65440]) ).

cnf(c_67950,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_45245,c_102]) ).

cnf(c_67951,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_67950,c_165]) ).

cnf(c_67961,plain,
    ( ~ perp(X0,sK22,X1,X2)
    | ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_67951,c_57]) ).

cnf(c_68057,plain,
    ( ~ midp(sK22,X0,X1)
    | ~ midp(sK24,X0,X2)
    | para(sK22,sK24,X1,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_68058,plain,
    ( ~ midp(sK22,sK22,sK22)
    | ~ midp(sK24,sK22,sK22)
    | para(sK22,sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_68057]) ).

cnf(c_68881,plain,
    ( ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_170,c_67961]) ).

cnf(c_69043,plain,
    ( ~ coll(sK24,X0,sK21)
    | ~ midp(sK20,X0,sK20)
    | ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK24,X0,sK21) ),
    inference(superposition,[status(thm)],[c_68881,c_94]) ).

cnf(c_69352,plain,
    midp(sK21,sK22,sK21),
    inference(global_subsumption_just,[status(thm)],[c_51218,c_177,c_180,c_235,c_6378,c_6450,c_6559,c_6589,c_6657,c_6826,c_19556,c_22870,c_24824,c_43172,c_46055]) ).

cnf(c_69359,plain,
    midp(sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_69352,c_59]) ).

cnf(c_69665,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_169,c_69043]) ).

cnf(c_69798,plain,
    midp(sK24,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_69665,c_16093,c_22220,c_31290,c_62456]) ).

cnf(c_69801,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK24,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_69798,c_93]) ).

cnf(c_69803,plain,
    midp(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_69798,c_59]) ).

cnf(c_69946,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK24,X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_69801,c_52]) ).

cnf(c_70250,plain,
    ( ~ para(sK20,sK21,sK21,sK22)
    | para(sK20,sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_39117]) ).

cnf(c_71915,plain,
    ( ~ coll(X0,X1,sK21)
    | ~ midp(X0,sK20,X2)
    | ~ midp(sK24,X1,X2)
    | midp(X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_69946,c_94]) ).

cnf(c_71941,plain,
    ( ~ coll(sK22,sK22,sK21)
    | ~ midp(sK22,sK20,sK22)
    | ~ midp(sK24,sK22,sK22)
    | midp(sK22,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_71915]) ).

cnf(c_71972,plain,
    ( ~ midp(sK24,sK21,X0)
    | circle(sK24,sK20,X0,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_45431,c_16093,c_22199,c_31290,c_62456,c_65447]) ).

cnf(c_71979,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ coll(sK24,sK20,sK21)
    | perp(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_71972,c_102]) ).

cnf(c_71980,plain,
    ( ~ midp(sK24,sK21,X0)
    | perp(sK20,X0,X0,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71979,c_169]) ).

cnf(c_72241,plain,
    ( ~ midp(sK24,sK21,X0)
    | perp(X0,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_71980,c_56]) ).

cnf(c_72249,plain,
    ( ~ midp(sK24,sK21,sK22)
    | para(sK26,sK25,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_71980,c_7322]) ).

cnf(c_72381,plain,
    ( ~ midp(sK24,sK21,sK20)
    | para(sK24,sK22,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_72241,c_7323]) ).

cnf(c_72392,plain,
    para(sK24,sK22,sK20,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_72381,c_69803]) ).

cnf(c_72583,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(sK22,sK21,X0,X1)
    | perp(sK22,sK21,X2,X3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_72584,plain,
    ( ~ para(sK22,sK21,sK22,sK22)
    | ~ perp(sK22,sK22,sK22,sK22)
    | perp(sK22,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_72583]) ).

cnf(c_72712,plain,
    ( ~ midp(sK24,sK21,sK22)
    | para(sK22,sK21,sK26,sK25) ),
    inference(superposition,[status(thm)],[c_72249,c_53]) ).

cnf(c_75519,plain,
    ( ~ midp(X0,sK22,sK21)
    | midp(X0,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_75520,plain,
    ( ~ midp(sK22,sK22,sK21)
    | midp(sK22,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_75519]) ).

cnf(c_75680,plain,
    ( ~ midp(X0,sK22,sK20)
    | midp(X0,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_75681,plain,
    ( ~ midp(sK22,sK22,sK20)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_75680]) ).

cnf(c_75919,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK24,X0,sK20)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_72392,c_94]) ).

cnf(c_75922,plain,
    para(sK20,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_72392,c_53]) ).

cnf(c_75936,plain,
    ( ~ coll(sK22,sK22,sK20)
    | ~ midp(sK24,sK22,sK20)
    | midp(sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_75919]) ).

cnf(c_76060,plain,
    ( ~ para(sK24,sK22,X0,X1)
    | para(sK20,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_75922,c_54]) ).

cnf(c_76073,plain,
    ( ~ para(sK24,sK22,sK22,sK22)
    | para(sK20,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_76060]) ).

cnf(c_78531,plain,
    cong(sK22,sK20,sK22,sK21),
    inference(global_subsumption_just,[status(thm)],[c_19564,c_16093,c_19564,c_22220,c_31290,c_62456]) ).

cnf(c_78535,plain,
    ( ~ coll(sK22,sK20,sK21)
    | midp(sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_78531,c_116]) ).

cnf(c_78542,plain,
    cong(sK22,sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_78531,c_71]) ).

cnf(c_78550,plain,
    midp(sK22,sK20,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_78535,c_18981]) ).

cnf(c_78602,plain,
    cong(sK21,sK20,sK21,sK21),
    inference(backward_subsumption_resolution,[status(thm)],[c_43914,c_78550]) ).

cnf(c_78605,plain,
    ( ~ midp(sK25,sK21,sK22)
    | para(sK21,sK20,sK22,sK21) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_43000,c_78550]) ).

cnf(c_78628,plain,
    para(sK22,sK21,sK21,sK21),
    inference(backward_subsumption_resolution,[status(thm)],[c_39642,c_78550]) ).

cnf(c_78650,plain,
    ( ~ midp(sK25,sK21,sK22)
    | para(sK20,sK21,sK21,sK22) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_25001,c_78550]) ).

cnf(c_78651,plain,
    midp(sK24,sK20,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_24303,c_78550]) ).

cnf(c_78691,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | circle(sK24,sK20,X0,sK21) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_7425,c_78550]) ).

cnf(c_79224,plain,
    midp(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_78651,c_10412]) ).

cnf(c_79396,plain,
    midp(sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_79224,c_54493]) ).

cnf(c_79400,plain,
    midp(sK24,sK24,sK24),
    inference(superposition,[status(thm)],[c_79224,c_24805]) ).

cnf(c_80099,plain,
    ( ~ cong(sK21,sK22,X0,X1)
    | cong(sK22,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_78542,c_73]) ).

cnf(c_80104,plain,
    ( ~ cong(sK21,sK22,sK22,sK22)
    | cong(sK22,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_80099]) ).

cnf(c_80355,plain,
    cong(sK21,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_78602,c_72]) ).

cnf(c_80455,plain,
    para(sK21,sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_78628,c_53]) ).

cnf(c_82516,plain,
    ( ~ perp(sK20,sK21,sK21,sK22)
    | ~ perp(sK21,sK22,sK21,sK22)
    | para(sK20,sK21,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_38044]) ).

cnf(c_83664,plain,
    cong(sK21,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_80355,c_71]) ).

cnf(c_84004,plain,
    ( ~ para(sK21,sK21,sK22,sK21)
    | ~ midp(X0,sK21,sK22)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_80455,c_113]) ).

cnf(c_84017,plain,
    ( ~ midp(X0,sK21,sK22)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_84004,c_80455]) ).

cnf(c_84250,plain,
    para(sK21,sK20,sK22,sK21),
    inference(global_subsumption_just,[status(thm)],[c_78605,c_177,c_180,c_186,c_235,c_2181,c_2268,c_6379,c_6378,c_6450,c_6545,c_6559,c_6589,c_6657,c_6763,c_6826,c_7054,c_7813,c_7906,c_7905,c_9058,c_9489,c_12122,c_12326,c_13004,c_19556,c_19659,c_22870,c_24824,c_25554,c_32136,c_32151,c_32951,c_41735,c_43172,c_46055,c_54476,c_56284,c_62467,c_70250,c_72584,c_75681,c_75936,c_82516]) ).

cnf(c_84256,plain,
    para(sK22,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_84250,c_53]) ).

cnf(c_84257,plain,
    para(sK21,sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_84250,c_52]) ).

cnf(c_84495,plain,
    ( ~ cong(sK20,sK21,X0,X1)
    | cong(sK21,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_83664,c_73]) ).

cnf(c_84503,plain,
    ( ~ cong(sK20,sK21,sK22,sK22)
    | cong(sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_84495]) ).

cnf(c_84877,plain,
    para(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_78650,c_177,c_180,c_186,c_235,c_2181,c_2268,c_6379,c_6378,c_6450,c_6545,c_6559,c_6589,c_6657,c_6763,c_6826,c_7054,c_7813,c_7906,c_7905,c_9489,c_12122,c_12326,c_13004,c_19556,c_19659,c_22870,c_24824,c_25554,c_32136,c_32151,c_32951,c_43172,c_46055,c_54476,c_56284,c_62467,c_72584,c_75681,c_75936,c_82516]) ).

cnf(c_84887,plain,
    para(sK27,sK25,sK21,sK22),
    inference(superposition,[status(thm)],[c_84877,c_36910]) ).

cnf(c_85549,plain,
    ( ~ midp(sK24,sK20,sK24)
    | circle(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_6634,c_78691]) ).

cnf(c_85553,plain,
    circle(sK24,sK20,sK24,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_85549,c_79396]) ).

cnf(c_85684,plain,
    para(sK21,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_84256,c_8474]) ).

cnf(c_85734,plain,
    ( ~ para(sK21,sK22,sK21,sK20)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_84257,c_113]) ).

cnf(c_86378,plain,
    ( ~ midp(X0,sK21,sK22)
    | cong(sK22,X0,sK21,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_46554,c_177,c_180,c_235,c_6379,c_6450,c_6541,c_6545,c_6559,c_6589,c_6600,c_6657,c_6763,c_7054,c_10400,c_19556,c_19755,c_22870,c_43172,c_46055,c_46392,c_54476,c_56261,c_75936,c_76073,c_84017,c_85684,c_85734]) ).

cnf(c_86386,plain,
    ( ~ midp(X0,sK21,sK22)
    | cong(sK21,X0,sK22,X0) ),
    inference(superposition,[status(thm)],[c_86378,c_72]) ).

cnf(c_86400,plain,
    ( ~ midp(sK22,sK21,sK22)
    | cong(sK21,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_86386]) ).

cnf(c_86886,plain,
    ( ~ cyclic(sK20,sK26,sK21,sK27)
    | cyclic(sK20,sK26,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_87365,plain,
    cong(sK22,sK20,sK22,sK22),
    inference(global_subsumption_just,[status(thm)],[c_48521,c_177,c_180,c_235,c_6379,c_6378,c_6450,c_6544,c_6545,c_6546,c_6559,c_6589,c_6657,c_6748,c_6763,c_7054,c_19556,c_22870,c_43172,c_46055,c_54400,c_54476,c_71941,c_75520,c_75681,c_75936,c_80104,c_86400]) ).

cnf(c_87375,plain,
    cong(sK22,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_87365,c_72]) ).

cnf(c_88288,plain,
    para(sK21,sK22,sK27,sK25),
    inference(superposition,[status(thm)],[c_84887,c_53]) ).

cnf(c_89073,plain,
    ( ~ coll(sK24,sK20,sK21)
    | perp(sK20,sK24,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_85553,c_102]) ).

cnf(c_89074,plain,
    perp(sK20,sK24,sK24,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_89073,c_169]) ).

cnf(c_89125,plain,
    perp(sK24,sK21,sK20,sK24),
    inference(superposition,[status(thm)],[c_89074,c_56]) ).

cnf(c_89129,plain,
    ( ~ circle(sK20,sK24,X0,X1)
    | eqangle(sK24,sK21,sK24,X0,X1,sK24,X1,X0) ),
    inference(superposition,[status(thm)],[c_89074,c_97]) ).

cnf(c_89197,plain,
    ( ~ perp(sK20,sK24,X0,X1)
    | para(sK24,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_89125,c_57]) ).

cnf(c_89471,plain,
    ( ~ para(X0,sK24,X0,X1)
    | ~ circle(sK20,sK24,X1,X0)
    | para(sK24,sK21,sK24,X1) ),
    inference(superposition,[status(thm)],[c_89129,c_122]) ).

cnf(c_89513,plain,
    ( ~ para(sK22,sK24,sK22,sK22)
    | ~ circle(sK20,sK24,sK22,sK22)
    | para(sK24,sK21,sK24,sK22) ),
    inference(instantiation,[status(thm)],[c_89471]) ).

cnf(c_89817,plain,
    ( ~ cong(sK22,sK22,sK22,X0)
    | circle(sK22,sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_87375,c_60]) ).

cnf(c_89859,plain,
    ( ~ cong(sK22,sK22,sK22,sK22)
    | circle(sK22,sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_89817]) ).

cnf(c_90597,plain,
    para(sK21,sK22,sK25,sK27),
    inference(superposition,[status(thm)],[c_88288,c_52]) ).

cnf(c_91092,plain,
    ( ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | para(sK24,sK21,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_67951,c_89197]) ).

cnf(c_91204,plain,
    para(sK24,sK21,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_91092,c_177,c_180,c_235,c_6379,c_6450,c_6544,c_6545,c_6559,c_6589,c_6657,c_6748,c_6763,c_6790,c_7004,c_7054,c_7957,c_19556,c_21421,c_22870,c_36703,c_43172,c_46055,c_46376,c_54400,c_54476,c_68058,c_75936,c_89513]) ).

cnf(c_91210,plain,
    para(sK24,sK22,sK24,sK21),
    inference(superposition,[status(thm)],[c_91204,c_53]) ).

cnf(c_91809,plain,
    ( ~ para(sK24,sK21,sK24,sK22)
    | ~ midp(X0,sK24,sK24)
    | midp(X0,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_91210,c_113]) ).

cnf(c_91823,plain,
    ( ~ midp(X0,sK24,sK24)
    | midp(X0,sK22,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_91809,c_91204]) ).

cnf(c_92050,plain,
    midp(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_79400,c_91823]) ).

cnf(c_92295,plain,
    ( ~ coll(sK22,X0,sK27)
    | ~ midp(sK21,X0,sK25)
    | midp(sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_90597,c_94]) ).

cnf(c_92312,plain,
    ( ~ coll(sK22,sK22,sK27)
    | ~ midp(sK21,sK22,sK25)
    | midp(sK22,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_92295]) ).

cnf(c_92378,plain,
    midp(sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_92050,c_59]) ).

cnf(c_92389,plain,
    para(sK22,sK21,sK26,sK25),
    inference(backward_subsumption_resolution,[status(thm)],[c_72712,c_92378]) ).

cnf(c_92493,plain,
    ( ~ cong(sK27,sK22,sK27,sK21)
    | ~ coll(sK27,sK22,sK21)
    | midp(sK27,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_94698,plain,
    ( ~ eqratio(sK27,sK21,sK27,sK22,X0,X1,X2,X3)
    | ~ cong(X0,X1,X2,X3)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_95563,plain,
    ( ~ cyclic(sK20,sK21,sK26,sK27)
    | cyclic(sK20,sK26,sK21,sK27) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_96523,plain,
    ( ~ eqratio(sK27,sK21,sK27,sK22,sK21,sK21,sK22,sK22)
    | ~ cong(sK21,sK21,sK22,sK22)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_94698]) ).

cnf(c_96524,plain,
    ( ~ eqratio(sK27,sK21,sK21,sK21,sK27,sK22,sK22,sK22)
    | eqratio(sK27,sK21,sK27,sK22,sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_23524]) ).

cnf(c_97516,plain,
    ( ~ coll(sK21,X0,sK25)
    | ~ midp(sK22,X0,sK26)
    | midp(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_92389,c_94]) ).

cnf(c_97534,plain,
    ( ~ coll(sK21,sK22,sK25)
    | ~ midp(sK22,sK22,sK26)
    | midp(sK21,sK22,sK25) ),
    inference(instantiation,[status(thm)],[c_97516]) ).

cnf(c_107121,plain,
    ( ~ cyclic(sK20,sK21,sK27,sK26)
    | cyclic(sK20,sK21,sK26,sK27) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_109249,plain,
    ( ~ eqangle(X0,X1,X0,sK20,X2,X1,X2,sK26)
    | ~ cyclic(X1,sK20,X0,X1)
    | ~ cyclic(X1,sK20,X0,X2)
    | ~ cyclic(X1,sK20,X0,sK26)
    | cong(X1,sK20,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_109250,plain,
    ( ~ eqangle(sK22,sK22,sK22,sK20,sK22,sK22,sK22,sK26)
    | ~ cyclic(sK22,sK20,sK22,sK26)
    | ~ cyclic(sK22,sK20,sK22,sK22)
    | cong(sK22,sK20,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_109249]) ).

cnf(c_110121,plain,
    ( ~ eqangle(sK20,X0,sK20,X1,sK26,X0,sK26,X1)
    | ~ coll(sK20,sK26,X1)
    | cyclic(X0,X1,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_110122,plain,
    ( ~ eqangle(sK20,sK22,sK20,sK22,sK26,sK22,sK26,sK22)
    | ~ coll(sK20,sK26,sK22)
    | cyclic(sK22,sK22,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_110121]) ).

cnf(c_118387,plain,
    ( ~ cyclic(X0,X1,sK20,sK26)
    | cyclic(X0,sK20,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_118388,plain,
    ( ~ cyclic(sK22,sK22,sK20,sK26)
    | cyclic(sK22,sK20,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_118387]) ).

cnf(c_124052,plain,
    ( ~ para(sK21,sK22,sK21,sK22)
    | ~ coll(sK27,sK21,sK21)
    | ~ coll(sK27,sK22,sK22)
    | eqratio(sK27,sK21,sK21,sK21,sK27,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_13712]) ).

cnf(c_126715,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,sK26)
    | cong(X0,X1,X4,sK26) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_126790,plain,
    ( ~ cong(X0,sK20,X0,sK26)
    | ~ cong(X0,sK20,X0,sK27)
    | ~ cong(X0,sK20,X0,sK21)
    | cyclic(sK20,sK21,sK27,sK26) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_126791,plain,
    ( ~ cong(sK22,sK20,sK22,sK26)
    | ~ cong(sK22,sK20,sK22,sK27)
    | ~ cong(sK22,sK20,sK22,sK21)
    | cyclic(sK20,sK21,sK27,sK26) ),
    inference(instantiation,[status(thm)],[c_126790]) ).

cnf(c_127507,plain,
    ( ~ cong(X0,X1,X0,sK26)
    | ~ coll(X0,X1,sK26)
    | midp(X0,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_127508,plain,
    ( ~ cong(sK22,sK22,sK22,sK26)
    | ~ coll(sK22,sK22,sK26)
    | midp(sK22,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_127507]) ).

cnf(c_128232,plain,
    ( ~ circle(sK26,sK20,X0,X1)
    | ~ midp(X1,X0,X1)
    | eqangle(sK20,X0,sK20,X1,sK26,X0,sK26,X1) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_128233,plain,
    ( ~ circle(sK26,sK20,sK22,sK22)
    | ~ midp(sK22,sK22,sK22)
    | eqangle(sK20,sK22,sK20,sK22,sK26,sK22,sK26,sK22) ),
    inference(instantiation,[status(thm)],[c_128232]) ).

cnf(c_129067,plain,
    ( ~ circle(X0,X1,X2,sK20)
    | ~ midp(sK26,X2,sK20)
    | eqangle(X1,X2,X1,sK20,X0,X2,X0,sK26) ),
    inference(instantiation,[status(thm)],[c_99]) ).

cnf(c_129068,plain,
    ( ~ circle(sK22,sK22,sK22,sK20)
    | ~ midp(sK26,sK22,sK20)
    | eqangle(sK22,sK22,sK22,sK20,sK22,sK22,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_129067]) ).

cnf(c_129485,plain,
    ( ~ cong(X0,X1,X2,sK20)
    | ~ cong(X2,sK20,X2,sK26)
    | cong(X0,X1,X2,sK26) ),
    inference(instantiation,[status(thm)],[c_126715]) ).

cnf(c_129486,plain,
    ( ~ cong(sK22,sK20,sK22,sK26)
    | ~ cong(sK22,sK22,sK22,sK20)
    | cong(sK22,sK22,sK22,sK26) ),
    inference(instantiation,[status(thm)],[c_129485]) ).

cnf(c_129495,plain,
    ( ~ cong(X0,sK20,X1,X2)
    | ~ cong(X1,X2,X0,sK27)
    | cong(X0,sK20,X0,sK27) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_129496,plain,
    ( ~ cong(sK22,sK20,sK22,sK22)
    | ~ cong(sK22,sK22,sK22,sK27)
    | cong(sK22,sK20,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_129495]) ).

cnf(c_129827,plain,
    ( ~ midp(X0,X1,sK27)
    | cong(X0,X1,X0,sK27) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_129828,plain,
    ( ~ midp(sK22,sK22,sK27)
    | cong(sK22,sK22,sK22,sK27) ),
    inference(instantiation,[status(thm)],[c_129827]) ).

cnf(c_129829,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_129828,c_129496,c_129486,c_129068,c_128233,c_127508,c_126791,c_124052,c_118388,c_110122,c_109250,c_107121,c_97534,c_96524,c_96523,c_95563,c_92493,c_92312,c_89859,c_87375,c_86886,c_86400,c_84503,c_80104,c_75936,c_75681,c_75520,c_71941,c_69359,c_62456,c_55829,c_54476,c_54400,c_48196,c_48129,c_46055,c_43172,c_37763,c_32927,c_31290,c_22870,c_22220,c_19564,c_19556,c_19291,c_16093,c_12157,c_8466,c_7688,c_7054,c_6821,c_6763,c_6748,c_6657,c_6653,c_6589,c_6559,c_6551,c_6550,c_6546,c_6545,c_6544,c_6450,c_6378,c_6379,c_6370,c_6372,c_235,c_180,c_177,c_162,c_163,c_165]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO612+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 19:48:11 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.89/5.23  % SZS status Started for theBenchmark.p
% 32.89/5.23  % SZS status Theorem for theBenchmark.p
% 32.89/5.23  
% 32.89/5.23  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.89/5.23  
% 32.89/5.23  ------  iProver source info
% 32.89/5.23  
% 32.89/5.23  git: date: 2023-05-31 18:12:56 +0000
% 32.89/5.23  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.89/5.23  git: non_committed_changes: false
% 32.89/5.23  git: last_make_outside_of_git: false
% 32.89/5.23  
% 32.89/5.23  ------ Parsing...
% 32.89/5.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 32.89/5.23  
% 32.89/5.23  ------ 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 
% 32.89/5.23  
% 32.89/5.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 32.89/5.23  
% 32.89/5.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 32.89/5.23  ------ Proving...
% 32.89/5.23  ------ Problem Properties 
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  clauses                                 122
% 32.89/5.23  conjectures                             10
% 32.89/5.23  EPR                                     85
% 32.89/5.23  Horn                                    112
% 32.89/5.23  unary                                   10
% 32.89/5.23  binary                                  37
% 32.89/5.23  lits                                    338
% 32.89/5.23  lits eq                                 4
% 32.89/5.23  fd_pure                                 0
% 32.89/5.23  fd_pseudo                               0
% 32.89/5.23  fd_cond                                 0
% 32.89/5.23  fd_pseudo_cond                          4
% 32.89/5.23  AC symbols                              0
% 32.89/5.23  
% 32.89/5.23  ------ Schedule dynamic 5 is on 
% 32.89/5.23  
% 32.89/5.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  ------ 
% 32.89/5.23  Current options:
% 32.89/5.23  ------ 
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  ------ Proving...
% 32.89/5.23  
% 32.89/5.23  
% 32.89/5.23  % SZS status Theorem for theBenchmark.p
% 32.89/5.23  
% 32.89/5.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.89/5.24  
% 32.89/5.24  
%------------------------------------------------------------------------------