TSTP Solution File: GEO612+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO612+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 02:18:03 EDT 2024

% Result   : Theorem 61.54s 9.23s
% Output   : CNFRefutation 61.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   48
%            Number of leaves      :   46
% Syntax   : Number of formulae    :  750 ( 190 unt;   0 def)
%            Number of atoms       : 1749 (   8 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives : 1806 ( 807   ~; 798   |; 128   &)
%                                         (   0 <=>;  73  =>;   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   : 1411 (   0 sgn 941   !;  31   ?)

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

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

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

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

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

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

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

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

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

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

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

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

fof(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/sandbox/benchmark/theBenchmark.p',ruleD13) ).

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

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/sandbox/benchmark/theBenchmark.p',ruleD17) ).

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

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

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

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

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

fof(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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD42b) ).

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

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

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

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

fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD52) ).

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

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

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

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

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

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

fof(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/sandbox/benchmark/theBenchmark.p',ruleD65) ).

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

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

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

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

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

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

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

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

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

fof(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(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(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(f194,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f102]) ).

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

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

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

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

fof(f200,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f25]) ).

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

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

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

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

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

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

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

fof(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(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(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(f379,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f194]) ).

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

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

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

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

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

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

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

fof(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(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_65,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | ~ cyclic(X0,X1,X2,X4)
    | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f376]) ).

cnf(c_68,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_70,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
    | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f381]) ).

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

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

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

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

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

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

cnf(c_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_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_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_4837,negated_conjecture,
    circle(sK23,sK20,sK21,sK22),
    inference(demodulation,[status(thm)],[c_171]) ).

cnf(c_4838,negated_conjecture,
    perp(sK24,sK22,sK20,sK21),
    inference(demodulation,[status(thm)],[c_170]) ).

cnf(c_4839,negated_conjecture,
    coll(sK24,sK20,sK21),
    inference(demodulation,[status(thm)],[c_169]) ).

cnf(c_4841,negated_conjecture,
    coll(sK25,sK22,sK24),
    inference(demodulation,[status(thm)],[c_167]) ).

cnf(c_4842,negated_conjecture,
    perp(sK26,sK25,sK20,sK22),
    inference(demodulation,[status(thm)],[c_166]) ).

cnf(c_4843,negated_conjecture,
    coll(sK26,sK20,sK22),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_4844,negated_conjecture,
    perp(sK27,sK25,sK21,sK22),
    inference(demodulation,[status(thm)],[c_164]) ).

cnf(c_4845,negated_conjecture,
    coll(sK27,sK21,sK22),
    inference(demodulation,[status(thm)],[c_163]) ).

cnf(c_6380,plain,
    coll(sK27,sK22,sK21),
    inference(superposition,[status(thm)],[c_4845,c_49]) ).

cnf(c_6381,plain,
    coll(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_4843,c_49]) ).

cnf(c_6382,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_4841,c_49]) ).

cnf(c_6383,plain,
    coll(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_4839,c_49]) ).

cnf(c_6388,plain,
    coll(sK21,sK27,sK22),
    inference(superposition,[status(thm)],[c_4845,c_50]) ).

cnf(c_6389,plain,
    coll(sK20,sK26,sK22),
    inference(superposition,[status(thm)],[c_4843,c_50]) ).

cnf(c_6390,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_4841,c_50]) ).

cnf(c_6396,plain,
    coll(sK22,sK27,sK21),
    inference(superposition,[status(thm)],[c_6380,c_50]) ).

cnf(c_6398,plain,
    coll(sK22,sK26,sK20),
    inference(superposition,[status(thm)],[c_6381,c_50]) ).

cnf(c_6402,plain,
    coll(sK21,sK24,sK20),
    inference(superposition,[status(thm)],[c_6383,c_50]) ).

cnf(c_6460,plain,
    perp(sK27,sK25,sK22,sK21),
    inference(superposition,[status(thm)],[c_4844,c_55]) ).

cnf(c_6461,plain,
    perp(sK26,sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_4842,c_55]) ).

cnf(c_6462,plain,
    perp(sK24,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_4838,c_55]) ).

cnf(c_6472,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_4845,c_51]) ).

cnf(c_6473,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_4843,c_51]) ).

cnf(c_6474,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_4841,c_51]) ).

cnf(c_6475,plain,
    ( ~ coll(sK24,sK20,X0)
    | coll(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_4839,c_51]) ).

cnf(c_6476,plain,
    ( ~ coll(sK27,sK22,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6380,c_51]) ).

cnf(c_6477,plain,
    ( ~ coll(sK26,sK22,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6381,c_51]) ).

cnf(c_6478,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6382,c_51]) ).

cnf(c_6479,plain,
    ( ~ coll(sK24,sK21,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6383,c_51]) ).

cnf(c_6480,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK22,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6388,c_51]) ).

cnf(c_6481,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6389,c_51]) ).

cnf(c_6482,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6390,c_51]) ).

cnf(c_6484,plain,
    ( ~ coll(sK22,sK27,X0)
    | coll(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6396,c_51]) ).

cnf(c_6485,plain,
    ( ~ coll(sK22,sK26,X0)
    | coll(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6398,c_51]) ).

cnf(c_6487,plain,
    ( ~ coll(sK21,sK24,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6402,c_51]) ).

cnf(c_6551,plain,
    ( ~ coll(sK22,sK26,sK22)
    | coll(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6485]) ).

cnf(c_6554,plain,
    ( ~ coll(sK22,sK25,sK22)
    | coll(sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6482]) ).

cnf(c_6555,plain,
    ( ~ coll(sK20,sK26,sK22)
    | coll(sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6481]) ).

cnf(c_6566,plain,
    perp(sK21,sK22,sK27,sK25),
    inference(superposition,[status(thm)],[c_4844,c_56]) ).

cnf(c_6567,plain,
    perp(sK20,sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_4842,c_56]) ).

cnf(c_6568,plain,
    perp(sK20,sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_4838,c_56]) ).

cnf(c_6569,plain,
    perp(sK22,sK21,sK27,sK25),
    inference(superposition,[status(thm)],[c_6460,c_56]) ).

cnf(c_6571,plain,
    perp(sK21,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_6462,c_56]) ).

cnf(c_6589,plain,
    perp(sK20,sK21,sK22,sK24),
    inference(superposition,[status(thm)],[c_6568,c_55]) ).

cnf(c_6596,plain,
    coll(sK22,sK22,sK27),
    inference(superposition,[status(thm)],[c_4845,c_6472]) ).

cnf(c_6597,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK27,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6596,c_51]) ).

cnf(c_6599,plain,
    coll(sK22,sK27,sK22),
    inference(superposition,[status(thm)],[c_6596,c_49]) ).

cnf(c_6607,plain,
    coll(sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_4843,c_6473]) ).

cnf(c_6608,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6607,c_51]) ).

cnf(c_6610,plain,
    coll(sK22,sK26,sK22),
    inference(superposition,[status(thm)],[c_6607,c_49]) ).

cnf(c_6618,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_4841,c_6474]) ).

cnf(c_6619,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6618,c_51]) ).

cnf(c_6628,plain,
    coll(sK21,sK21,sK24),
    inference(superposition,[status(thm)],[c_4839,c_6475]) ).

cnf(c_6629,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK24,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6628,c_51]) ).

cnf(c_6639,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_6380,c_6476]) ).

cnf(c_6644,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_117,c_71]) ).

cnf(c_6662,plain,
    ( ~ coll(sK22,sK27,X0)
    | coll(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6599,c_51]) ).

cnf(c_6663,plain,
    coll(sK27,sK22,sK22),
    inference(superposition,[status(thm)],[c_6599,c_50]) ).

cnf(c_6667,plain,
    ( ~ coll(sK22,sK27,sK22)
    | coll(sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6662]) ).

cnf(c_6688,plain,
    coll(sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_6639,c_49]) ).

cnf(c_6699,plain,
    perp(sK22,sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_6589,c_56]) ).

cnf(c_6705,plain,
    coll(sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_6381,c_6477]) ).

cnf(c_6708,plain,
    coll(sK20,sK26,sK20),
    inference(superposition,[status(thm)],[c_6705,c_49]) ).

cnf(c_6715,plain,
    coll(sK22,sK22,sK25),
    inference(superposition,[status(thm)],[c_6382,c_6478]) ).

cnf(c_6756,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6715,c_51]) ).

cnf(c_6758,plain,
    coll(sK22,sK25,sK22),
    inference(superposition,[status(thm)],[c_6715,c_49]) ).

cnf(c_6761,plain,
    ( ~ coll(sK22,sK22,sK22)
    | coll(sK25,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6756]) ).

cnf(c_6766,plain,
    coll(sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_6383,c_6479]) ).

cnf(c_6768,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6766,c_51]) ).

cnf(c_6770,plain,
    coll(sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_6766,c_49]) ).

cnf(c_6773,plain,
    ( ~ coll(sK20,sK20,sK22)
    | coll(sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6768]) ).

cnf(c_6778,plain,
    coll(sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_6388,c_6480]) ).

cnf(c_6789,plain,
    coll(sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6389,c_6481]) ).

cnf(c_6800,plain,
    coll(sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_6390,c_6482]) ).

cnf(c_6830,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6688,c_51]) ).

cnf(c_6831,plain,
    coll(sK27,sK21,sK21),
    inference(superposition,[status(thm)],[c_6688,c_50]) ).

cnf(c_6836,plain,
    ( ~ coll(sK21,sK27,sK22)
    | coll(sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_6830]) ).

cnf(c_6840,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6708,c_51]) ).

cnf(c_6841,plain,
    coll(sK26,sK20,sK20),
    inference(superposition,[status(thm)],[c_6708,c_50]) ).

cnf(c_6843,plain,
    coll(sK22,sK20,sK20),
    inference(superposition,[status(thm)],[c_6708,c_6481]) ).

cnf(c_6846,plain,
    ( ~ coll(sK20,sK26,sK22)
    | coll(sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6840]) ).

cnf(c_6857,plain,
    coll(sK24,sK20,sK20),
    inference(superposition,[status(thm)],[c_6770,c_50]) ).

cnf(c_6887,plain,
    coll(sK27,sK20,sK22),
    inference(superposition,[status(thm)],[c_6789,c_6597]) ).

cnf(c_6890,plain,
    coll(sK27,sK26,sK22),
    inference(superposition,[status(thm)],[c_6607,c_6597]) ).

cnf(c_6897,plain,
    coll(sK27,sK22,sK26),
    inference(superposition,[status(thm)],[c_6890,c_49]) ).

cnf(c_6913,plain,
    coll(sK26,sK21,sK22),
    inference(superposition,[status(thm)],[c_6778,c_6608]) ).

cnf(c_6938,plain,
    coll(sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_6396,c_6484]) ).

cnf(c_7005,plain,
    coll(sK24,sK24,sK21),
    inference(superposition,[status(thm)],[c_6628,c_6629]) ).

cnf(c_7008,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_7005,c_51]) ).

cnf(c_7011,plain,
    coll(sK25,sK21,sK24),
    inference(superposition,[status(thm)],[c_7005,c_6619]) ).

cnf(c_7014,plain,
    ( ~ coll(sK24,sK24,sK22)
    | coll(sK21,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_7008]) ).

cnf(c_7018,plain,
    coll(sK20,sK22,sK20),
    inference(superposition,[status(thm)],[c_6843,c_50]) ).

cnf(c_7064,plain,
    coll(sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_6398,c_6485]) ).

cnf(c_7097,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_4837,c_102]) ).

cnf(c_7112,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(superposition,[status(thm)],[c_4844,c_104]) ).

cnf(c_7113,plain,
    ( ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_4842,c_104]) ).

cnf(c_7114,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_4838,c_104]) ).

cnf(c_7115,plain,
    ( ~ midp(sK25,sK22,sK21)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_6460,c_104]) ).

cnf(c_7117,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK21,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_6462,c_104]) ).

cnf(c_7120,plain,
    ( ~ midp(sK21,sK24,sK22)
    | cong(sK20,sK24,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_6568,c_104]) ).

cnf(c_7123,plain,
    ( ~ midp(sK20,sK24,sK22)
    | cong(sK21,sK24,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_6571,c_104]) ).

cnf(c_7126,plain,
    ( ~ midp(sK21,sK22,sK24)
    | cong(sK20,sK22,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_6589,c_104]) ).

cnf(c_7201,plain,
    coll(sK27,sK22,sK20),
    inference(superposition,[status(thm)],[c_6887,c_49]) ).

cnf(c_7228,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK21,sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7097,c_56]) ).

cnf(c_7229,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_7097,c_55]) ).

cnf(c_7230,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK23,sK20,sK22)
    | cong(sK20,X0,sK21,X0) ),
    inference(superposition,[status(thm)],[c_7097,c_101]) ).

cnf(c_7241,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK22,sK20,sK22)
    | cong(sK20,sK22,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_7230]) ).

cnf(c_7263,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_7112,c_72]) ).

cnf(c_7281,plain,
    ( ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK22,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_7113,c_72]) ).

cnf(c_7299,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK21,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_7114,c_72]) ).

cnf(c_7300,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK21,sK24) ),
    inference(superposition,[status(thm)],[c_7114,c_71]) ).

cnf(c_7331,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | para(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_4844,c_57]) ).

cnf(c_7333,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_4838,c_57]) ).

cnf(c_7338,plain,
    ( ~ perp(sK21,sK20,X0,X1)
    | para(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6462,c_57]) ).

cnf(c_7339,plain,
    ( ~ perp(sK27,sK25,X0,X1)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6566,c_57]) ).

cnf(c_7340,plain,
    ( ~ perp(sK26,sK25,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_6567,c_57]) ).

cnf(c_7341,plain,
    ( ~ perp(sK24,sK22,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_6568,c_57]) ).

cnf(c_7433,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7112,c_60]) ).

cnf(c_7434,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7113,c_60]) ).

cnf(c_7435,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7114,c_60]) ).

cnf(c_7479,plain,
    coll(sK21,sK26,sK27),
    inference(superposition,[status(thm)],[c_6897,c_6476]) ).

cnf(c_7504,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK24,sK22,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_7097,c_7333]) ).

cnf(c_7506,plain,
    para(sK24,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_6589,c_7333]) ).

cnf(c_7563,plain,
    coll(sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_6402,c_6487]) ).

cnf(c_7578,plain,
    ( ~ cong(sK27,sK22,X0,X1)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_7112,c_73]) ).

cnf(c_7579,plain,
    ( ~ cong(sK26,sK22,X0,X1)
    | ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7113,c_73]) ).

cnf(c_7580,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7114,c_73]) ).

cnf(c_7612,plain,
    coll(sK26,sK22,sK21),
    inference(superposition,[status(thm)],[c_6913,c_49]) ).

cnf(c_7644,plain,
    coll(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_6938,c_6629]) ).

cnf(c_7649,plain,
    para(sK22,sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_7506,c_53]) ).

cnf(c_7664,plain,
    ( ~ midp(sK25,sK22,sK21)
    | cong(sK27,sK21,sK27,sK22) ),
    inference(superposition,[status(thm)],[c_7115,c_72]) ).

cnf(c_7737,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_7117,c_72]) ).

cnf(c_7822,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ coll(sK22,X0,sK23)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_7823,plain,
    ( ~ coll(sK22,sK22,sK20)
    | ~ coll(sK22,sK22,sK23)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_7822]) ).

cnf(c_7915,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_7916,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_7948,plain,
    ( ~ cong(sK20,sK24,sK20,X0)
    | ~ midp(sK21,sK24,sK22)
    | circle(sK20,sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_7120,c_60]) ).

cnf(c_7967,plain,
    ( ~ cong(sK20,sK24,sK20,sK22)
    | ~ midp(sK21,sK24,sK22)
    | circle(sK20,sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_7948]) ).

cnf(c_8007,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7228,c_104]) ).

cnf(c_8010,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK27,sK25,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7228,c_7331]) ).

cnf(c_8027,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7229,c_104]) ).

cnf(c_8030,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK24,sK22,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_7229,c_7333]) ).

cnf(c_8047,plain,
    ( ~ coll(sK27,sK22,sK21)
    | ~ midp(sK25,sK21,sK22)
    | midp(sK27,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_7263,c_116]) ).

cnf(c_8053,plain,
    ( ~ midp(sK25,sK21,sK22)
    | midp(sK27,sK22,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_8047,c_6380]) ).

cnf(c_8158,plain,
    coll(sK21,sK25,sK24),
    inference(superposition,[status(thm)],[c_7011,c_50]) ).

cnf(c_8251,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK24,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_7300,c_72]) ).

cnf(c_8269,plain,
    ( ~ perp(sK21,sK22,X0,X1)
    | ~ coll(sK23,sK20,sK22)
    | perp(sK24,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_7504,c_58]) ).

cnf(c_8271,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK21,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_7504,c_53]) ).

cnf(c_8423,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK22,sK21,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_8030,c_53]) ).

cnf(c_8476,plain,
    para(sK21,sK22,sK21,sK22),
    inference(superposition,[status(thm)],[c_4844,c_7339]) ).

cnf(c_8477,plain,
    para(sK21,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_6460,c_7339]) ).

cnf(c_8485,plain,
    para(sK22,sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_8477,c_53]) ).

cnf(c_8904,plain,
    coll(sK21,sK20,sK27),
    inference(superposition,[status(thm)],[c_7201,c_6476]) ).

cnf(c_8998,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_4842,c_7340]) ).

cnf(c_8999,plain,
    para(sK20,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6461,c_7340]) ).

cnf(c_9017,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK20,X0,sK22)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_8999,c_94]) ).

cnf(c_9020,plain,
    para(sK22,sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_8999,c_53]) ).

cnf(c_9040,plain,
    ( ~ perp(sK27,sK25,X0,X1)
    | ~ perp(sK22,sK21,sK27,sK25)
    | para(sK22,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_9054,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6462,c_7341]) ).

cnf(c_9066,plain,
    ( ~ perp(sK21,sK20,X0,X1)
    | perp(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_9054,c_58]) ).

cnf(c_9482,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ coll(sK23,sK20,sK22)
    | cong(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7230,c_71]) ).

cnf(c_9544,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_117,c_7433]) ).

cnf(c_9545,plain,
    ( ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7112,c_7433]) ).

cnf(c_9684,plain,
    coll(sK21,sK27,sK26),
    inference(superposition,[status(thm)],[c_7479,c_49]) ).

cnf(c_9724,plain,
    ( ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_9545,c_102]) ).

cnf(c_9725,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK22,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9724,c_4845]) ).

cnf(c_9732,plain,
    ( ~ perp(sK22,sK22,X0,X1)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_9725,c_57]) ).

cnf(c_9938,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_117,c_7434]) ).

cnf(c_10140,plain,
    coll(sK22,sK26,sK21),
    inference(superposition,[status(thm)],[c_7612,c_50]) ).

cnf(c_10341,plain,
    ( ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7114,c_7435]) ).

cnf(c_10366,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_10341,c_102]) ).

cnf(c_10367,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10366,c_4839]) ).

cnf(c_10409,plain,
    ( ~ para(sK20,sK22,sK20,sK22)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_8998,c_113]) ).

cnf(c_10422,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10409,c_8998]) ).

cnf(c_10638,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK21,sK21,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_10367,c_56]) ).

cnf(c_10679,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_10721,plain,
    ( ~ midp(sK21,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_10638,c_104]) ).

cnf(c_11067,plain,
    coll(sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_7644,c_49]) ).

cnf(c_11095,plain,
    ( ~ midp(sK27,sK22,X0)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,sK27,X0) ),
    inference(superposition,[status(thm)],[c_117,c_7578]) ).

cnf(c_11097,plain,
    ( ~ midp(sK25,sK21,sK22)
    | cong(sK27,sK21,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_7263,c_7578]) ).

cnf(c_11124,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,sK26,X0) ),
    inference(superposition,[status(thm)],[c_117,c_7579]) ).

cnf(c_11126,plain,
    ( ~ midp(sK25,sK20,sK22)
    | cong(sK26,sK20,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_7281,c_7579]) ).

cnf(c_11152,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,X0) ),
    inference(superposition,[status(thm)],[c_117,c_7580]) ).

cnf(c_11154,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_7299,c_7580]) ).

cnf(c_11966,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_7112,c_61]) ).

cnf(c_11968,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ cong(sK24,sK20,sK24,X1)
    | ~ midp(sK22,sK20,sK21)
    | cyclic(sK20,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_7114,c_61]) ).

cnf(c_12131,plain,
    ( ~ coll(sK23,X0,X1)
    | ~ coll(sK23,X0,sK22)
    | coll(sK22,X1,sK23) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_12132,plain,
    ( ~ coll(sK23,sK22,sK22)
    | coll(sK22,sK22,sK23) ),
    inference(instantiation,[status(thm)],[c_12131]) ).

cnf(c_12158,plain,
    coll(sK21,sK24,sK25),
    inference(superposition,[status(thm)],[c_8158,c_49]) ).

cnf(c_12932,plain,
    coll(sK21,sK27,sK20),
    inference(superposition,[status(thm)],[c_8904,c_49]) ).

cnf(c_13011,plain,
    ( ~ para(sK23,X0,sK23,X1)
    | coll(sK23,X0,X1) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_13014,plain,
    ( ~ para(sK23,sK22,sK23,sK22)
    | coll(sK23,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_13011]) ).

cnf(c_13722,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_14520,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK20,sK22,sK22,sK20)
    | ~ para(sK20,sK22,sK22,sK20)
    | para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_14812,plain,
    ( ~ cong(sK27,sK21,sK27,X0)
    | ~ midp(sK25,sK21,sK22)
    | cyclic(sK21,sK22,sK22,X0) ),
    inference(superposition,[status(thm)],[c_7112,c_11966]) ).

cnf(c_15090,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ midp(sK22,sK20,sK21)
    | cyclic(sK20,sK21,sK21,X0) ),
    inference(superposition,[status(thm)],[c_7114,c_11968]) ).

cnf(c_15404,plain,
    coll(sK27,sK21,sK26),
    inference(superposition,[status(thm)],[c_9684,c_50]) ).

cnf(c_16103,plain,
    coll(sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_10140,c_6485]) ).

cnf(c_17075,plain,
    coll(sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_11067,c_50]) ).

cnf(c_17077,plain,
    coll(sK20,sK22,sK24),
    inference(superposition,[status(thm)],[c_11067,c_6479]) ).

cnf(c_18492,plain,
    ( ~ coll(sK21,sK24,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_12158,c_51]) ).

cnf(c_18499,plain,
    ( ~ coll(sK21,sK24,sK22)
    | coll(sK25,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_18492]) ).

cnf(c_18934,plain,
    coll(sK25,sK20,sK22),
    inference(superposition,[status(thm)],[c_6789,c_6756]) ).

cnf(c_18991,plain,
    coll(sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_12932,c_6480]) ).

cnf(c_19301,plain,
    coll(sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_18934,c_49]) ).

cnf(c_19328,plain,
    coll(sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_18991,c_49]) ).

cnf(c_19566,plain,
    ( ~ perp(sK27,sK25,sK22,sK21)
    | ~ perp(sK22,sK21,sK27,sK25)
    | para(sK22,sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_9040]) ).

cnf(c_19574,plain,
    ( ~ midp(sK24,sK20,sK21)
    | cong(sK22,sK20,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_6699,c_104]) ).

cnf(c_19653,plain,
    para(sK22,sK24,sK22,sK24),
    inference(superposition,[status(thm)],[c_7649,c_52]) ).

cnf(c_19669,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_10679]) ).

cnf(c_19676,plain,
    para(sK22,sK21,sK22,sK21),
    inference(superposition,[status(thm)],[c_8485,c_52]) ).

cnf(c_19748,plain,
    ( ~ coll(sK20,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9020,c_94]) ).

cnf(c_19752,plain,
    para(sK22,sK20,sK22,sK20),
    inference(superposition,[status(thm)],[c_9020,c_52]) ).

cnf(c_19765,plain,
    ( ~ coll(sK20,sK22,sK22)
    | ~ midp(sK22,sK22,sK20)
    | midp(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_19748]) ).

cnf(c_21017,plain,
    ( ~ coll(sK21,sK24,sK22)
    | ~ midp(sK20,sK24,sK22)
    | midp(sK21,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_7123,c_116]) ).

cnf(c_21032,plain,
    ( ~ midp(sK20,sK24,sK22)
    | midp(sK21,sK24,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21017,c_17075]) ).

cnf(c_21425,plain,
    ( ~ coll(sK20,sK22,sK24)
    | ~ midp(sK21,sK22,sK24)
    | midp(sK20,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_7126,c_116]) ).

cnf(c_21431,plain,
    ( ~ midp(sK21,sK22,sK24)
    | cong(sK20,sK24,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_7126,c_72]) ).

cnf(c_21440,plain,
    ( ~ midp(sK21,sK22,sK24)
    | midp(sK20,sK22,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_21425,c_17077]) ).

cnf(c_21707,plain,
    ( ~ midp(sK25,sK21,sK22)
    | ~ midp(sK25,sK22,sK21)
    | cyclic(sK21,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7664,c_14812]) ).

cnf(c_22209,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | ~ midp(sK22,sK21,sK20)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7737,c_60]) ).

cnf(c_22210,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7737,c_116]) ).

cnf(c_22215,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK21,sK20)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7737,c_73]) ).

cnf(c_22230,plain,
    ( ~ midp(sK22,sK21,sK20)
    | midp(sK24,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22210,c_4839]) ).

cnf(c_22868,plain,
    ( ~ para(sK22,sK21,sK22,sK21)
    | eqangle(sK22,sK21,X0,X1,sK22,sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_22880,plain,
    ( ~ para(sK22,sK21,sK22,sK21)
    | eqangle(sK22,sK21,sK22,sK22,sK22,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_22868]) ).

cnf(c_23491,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK22,sK21,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_8423,c_52]) ).

cnf(c_23534,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_24067,plain,
    ( ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_11097,c_7433]) ).

cnf(c_24181,plain,
    ( ~ coll(sK26,sK20,sK20)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK26,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_11126,c_116]) ).

cnf(c_24195,plain,
    ( ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_11126,c_7434]) ).

cnf(c_24204,plain,
    ( ~ midp(sK25,sK20,sK22)
    | midp(sK26,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24181,c_6841]) ).

cnf(c_24290,plain,
    ( ~ coll(sK24,sK20,sK20)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_11154,c_116]) ).

cnf(c_24304,plain,
    ( ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_11154,c_7435]) ).

cnf(c_24313,plain,
    ( ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24290,c_6857]) ).

cnf(c_24805,plain,
    ( ~ para(sK22,sK24,sK22,sK24)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_19653,c_113]) ).

cnf(c_24815,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24805,c_19653]) ).

cnf(c_24821,plain,
    ( ~ coll(sK21,X0,sK21)
    | ~ midp(sK22,X0,sK22)
    | midp(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_19676,c_94]) ).

cnf(c_24834,plain,
    ( ~ coll(sK21,sK22,sK21)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_24821]) ).

cnf(c_24836,plain,
    ( ~ coll(sK20,X0,sK20)
    | ~ midp(sK22,X0,sK22)
    | midp(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_19752,c_94]) ).

cnf(c_24849,plain,
    ( ~ coll(sK20,sK22,sK20)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_24836]) ).

cnf(c_24994,plain,
    ( ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_24067,c_102]) ).

cnf(c_24995,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK21,sK21,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_24994,c_4845]) ).

cnf(c_25004,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK22,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_24995,c_56]) ).

cnf(c_25218,plain,
    ( ~ midp(sK25,sK21,sK22)
    | para(sK27,sK25,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_25004,c_7331]) ).

cnf(c_25257,plain,
    ( ~ coll(sK25,X0,sK21)
    | ~ midp(sK27,X0,sK21)
    | ~ midp(sK25,sK21,sK22)
    | midp(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_25218,c_94]) ).

cnf(c_25279,plain,
    ( ~ coll(sK25,sK22,sK21)
    | ~ midp(sK27,sK22,sK21)
    | ~ midp(sK25,sK21,sK22)
    | midp(sK25,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_25257]) ).

cnf(c_25564,plain,
    ( ~ para(sK22,sK23,sK23,sK22)
    | para(sK23,sK22,sK22,sK23) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_26279,plain,
    ( ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,sK20,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_24195,c_102]) ).

cnf(c_26280,plain,
    ( ~ midp(sK25,sK20,sK22)
    | perp(sK20,sK20,sK20,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26279,c_4843]) ).

cnf(c_26406,plain,
    ( ~ midp(sK25,sK20,sK22)
    | perp(sK20,sK20,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_26280,c_55]) ).

cnf(c_26522,plain,
    ( ~ midp(sK20,sK22,sK20)
    | ~ midp(sK25,sK20,sK22)
    | cong(sK20,sK22,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_26406,c_104]) ).

cnf(c_27300,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_24304,c_102]) ).

cnf(c_27301,plain,
    ( ~ midp(sK22,sK20,sK21)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_27300,c_4839]) ).

cnf(c_27311,plain,
    ( ~ midp(sK20,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_27301,c_104]) ).

cnf(c_29346,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_9725,c_8269]) ).

cnf(c_31300,plain,
    ( ~ midp(sK20,sK21,sK22)
    | midp(sK22,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_19328,c_9017]) ).

cnf(c_32145,plain,
    ( ~ para(sK23,X0,X1,sK23)
    | para(sK23,X0,sK23,X1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_32146,plain,
    ( ~ para(sK23,sK22,sK22,sK23)
    | para(sK23,sK22,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_32145]) ).

cnf(c_32147,plain,
    ( ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK22,sK20,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_8027,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_8027,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_32161,plain,
    ( ~ midp(sK21,sK22,sK21)
    | cong(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_32147,c_72]) ).

cnf(c_32973,plain,
    ( ~ midp(X0,sK20,sK22)
    | cong(sK20,X0,X0,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_9482,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_9482,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_32982,plain,
    ( ~ coll(sK20,sK20,sK21)
    | ~ midp(sK20,sK20,sK22)
    | midp(sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_32973,c_116]) ).

cnf(c_33000,plain,
    ( ~ midp(sK20,sK20,sK22)
    | midp(sK20,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32982,c_7563]) ).

cnf(c_33153,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9544,c_102]) ).

cnf(c_33154,plain,
    ( ~ midp(sK27,sK21,X0)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_33153,c_4845]) ).

cnf(c_33173,plain,
    ( ~ coll(sK23,sK20,sK22)
    | ~ midp(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_33154,c_8269]) ).

cnf(c_33178,plain,
    ( ~ midp(sK27,sK21,sK20)
    | ~ midp(sK25,sK21,sK22)
    | para(sK24,sK22,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_33154,c_7338]) ).

cnf(c_33666,plain,
    ( ~ midp(sK27,sK21,sK20)
    | ~ midp(sK25,sK21,sK22)
    | para(sK20,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_33178,c_53]) ).

cnf(c_34174,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK24,sK22,sK22,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_33173,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_12132,c_13014,c_19669,c_25564,c_29346,c_32146]) ).

cnf(c_34182,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK22,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_34174,c_56]) ).

cnf(c_35499,plain,
    ( ~ midp(sK25,sK21,sK22)
    | para(sK21,sK22,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_34182,c_9732]) ).

cnf(c_35889,plain,
    para(sK21,sK22,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_35499,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_8271,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_35895,plain,
    para(sK24,sK22,sK21,sK22),
    inference(superposition,[status(thm)],[c_35889,c_53]) ).

cnf(c_35896,plain,
    para(sK21,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_35889,c_52]) ).

cnf(c_36215,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9938,c_102]) ).

cnf(c_36216,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36215,c_4843]) ).

cnf(c_36226,plain,
    ( ~ perp(X0,sK22,X1,X2)
    | ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_36216,c_57]) ).

cnf(c_36228,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(X0,sK22,sK20,X0) ),
    inference(superposition,[status(thm)],[c_36216,c_56]) ).

cnf(c_36362,plain,
    ( ~ midp(sK26,sK20,sK21)
    | ~ midp(sK25,sK20,sK22)
    | para(sK27,sK25,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_36228,c_7331]) ).

cnf(c_36479,plain,
    para(sK24,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_35895,c_52]) ).

cnf(c_36541,plain,
    para(sK22,sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_35896,c_53]) ).

cnf(c_36581,plain,
    para(sK22,sK21,sK24,sK22),
    inference(superposition,[status(thm)],[c_36479,c_53]) ).

cnf(c_36602,plain,
    para(sK22,sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_36541,c_52]) ).

cnf(c_36623,plain,
    para(sK22,sK21,sK22,sK24),
    inference(superposition,[status(thm)],[c_36581,c_52]) ).

cnf(c_36670,plain,
    ( ~ para(sK22,sK21,sK22,sK24)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_36602,c_113]) ).

cnf(c_36693,plain,
    ( ~ coll(sK21,X0,sK24)
    | ~ midp(sK22,X0,sK22)
    | midp(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_36623,c_94]) ).

cnf(c_36713,plain,
    ( ~ coll(sK21,sK22,sK24)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK21,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_36693]) ).

cnf(c_36915,plain,
    para(sK27,sK25,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_36362,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_8010,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_36919,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | perp(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_36915,c_58]) ).

cnf(c_36920,plain,
    ( ~ para(sK20,sK21,X0,X1)
    | para(sK27,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_36915,c_54]) ).

cnf(c_36921,plain,
    para(sK20,sK21,sK27,sK25),
    inference(superposition,[status(thm)],[c_36915,c_53]) ).

cnf(c_36922,plain,
    para(sK27,sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_36915,c_52]) ).

cnf(c_37311,plain,
    ( ~ midp(sK26,sK20,sK24)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_4838,c_36226]) ).

cnf(c_37444,plain,
    ( ~ para(sK20,sK21,sK20,sK24)
    | ~ midp(X0,sK20,sK20)
    | ~ midp(sK26,sK20,sK24)
    | ~ midp(sK25,sK20,sK22)
    | midp(X0,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_37311,c_113]) ).

cnf(c_37650,plain,
    para(sK20,sK21,sK25,sK27),
    inference(superposition,[status(thm)],[c_36921,c_52]) ).

cnf(c_37756,plain,
    ( ~ coll(sK25,X0,sK20)
    | ~ midp(sK27,X0,sK21)
    | midp(sK25,X0,sK20) ),
    inference(superposition,[status(thm)],[c_36922,c_94]) ).

cnf(c_37773,plain,
    ( ~ coll(sK25,sK22,sK20)
    | ~ midp(sK27,sK22,sK21)
    | midp(sK25,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_37756]) ).

cnf(c_37779,plain,
    para(sK25,sK27,sK20,sK21),
    inference(superposition,[status(thm)],[c_37650,c_53]) ).

cnf(c_37829,plain,
    para(sK25,sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_37779,c_52]) ).

cnf(c_37937,plain,
    ( ~ coll(sK27,X0,sK20)
    | ~ midp(sK25,X0,sK21)
    | midp(sK27,X0,sK20) ),
    inference(superposition,[status(thm)],[c_37829,c_94]) ).

cnf(c_37955,plain,
    ( ~ coll(sK27,sK22,sK20)
    | ~ midp(sK25,sK22,sK21)
    | midp(sK27,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_37937]) ).

cnf(c_38945,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK24,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_37444,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_10422,c_12132,c_13014,c_19669,c_23491,c_25564,c_32146,c_36670]) ).

cnf(c_43181,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_43182,plain,
    ( ~ eqangle(sK22,sK21,sK22,sK22,sK22,sK21,sK22,sK22)
    | ~ coll(sK22,sK22,sK22)
    | cyclic(sK21,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_43181]) ).

cnf(c_43924,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK21,sK20,sK21,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_10721,c_2181,c_6389,c_6555,c_7823,c_7916,c_7915,c_8007,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_44268,plain,
    ( ~ midp(sK27,sK22,X0)
    | ~ midp(sK25,sK21,sK22)
    | circle(sK27,sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_11095,c_7433]) ).

cnf(c_45255,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | circle(sK26,sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_11124,c_7434]) ).

cnf(c_45441,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | circle(sK24,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_11152,c_7435]) ).

cnf(c_46054,plain,
    cyclic(sK21,sK22,sK22,sK22),
    inference(global_subsumption_just,[status(thm)],[c_21707,c_6460,c_6569,c_6599,c_6667,c_19566,c_22880,c_43182]) ).

cnf(c_46057,plain,
    ( ~ cyclic(sK21,sK22,sK22,X0)
    | cyclic(sK22,sK22,sK22,X0) ),
    inference(superposition,[status(thm)],[c_46054,c_65]) ).

cnf(c_46065,plain,
    ( ~ cyclic(sK21,sK22,sK22,sK22)
    | cyclic(sK22,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_46057]) ).

cnf(c_46376,plain,
    midp(sK20,sK22,sK24),
    inference(global_subsumption_just,[status(thm)],[c_21440,c_177,c_180,c_235,c_6460,c_6569,c_6599,c_6667,c_6800,c_7014,c_19566,c_21440,c_22880,c_36713,c_43182,c_46065]) ).

cnf(c_46379,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK20,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_46376,c_93]) ).

cnf(c_46381,plain,
    midp(sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_46376,c_59]) ).

cnf(c_46386,plain,
    midp(sK21,sK24,sK22),
    inference(backward_subsumption_resolution,[status(thm)],[c_21032,c_46381]) ).

cnf(c_46391,plain,
    ( ~ midp(sK22,sK22,sK22)
    | para(sK20,sK22,sK24,sK22) ),
    inference(instantiation,[status(thm)],[c_46379]) ).

cnf(c_52033,plain,
    ( ~ midp(sK25,sK20,sK22)
    | cong(sK20,sK22,sK20,sK20) ),
    inference(global_subsumption_just,[status(thm)],[c_26522,c_177,c_180,c_235,c_6389,c_6460,c_6569,c_6599,c_6667,c_6846,c_19566,c_22880,c_24849,c_26522,c_43182,c_46065]) ).

cnf(c_52041,plain,
    ( ~ coll(sK20,sK22,sK20)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK20,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_52033,c_116]) ).

cnf(c_52054,plain,
    ( ~ midp(sK25,sK20,sK22)
    | midp(sK20,sK22,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_52041,c_7018]) ).

cnf(c_53892,plain,
    para(sK20,sK22,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_33666,c_177,c_180,c_235,c_6460,c_6569,c_6599,c_6667,c_19566,c_22880,c_43182,c_46065,c_46391]) ).

cnf(c_53898,plain,
    para(sK24,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_53892,c_53]) ).

cnf(c_53899,plain,
    para(sK20,sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_53892,c_52]) ).

cnf(c_54302,plain,
    para(sK24,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_53898,c_52]) ).

cnf(c_54333,plain,
    para(sK22,sK24,sK20,sK22),
    inference(superposition,[status(thm)],[c_53899,c_53]) ).

cnf(c_54353,plain,
    para(sK22,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_54302,c_53]) ).

cnf(c_54392,plain,
    ( ~ coll(sK24,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_54333,c_94]) ).

cnf(c_54396,plain,
    para(sK22,sK24,sK22,sK20),
    inference(superposition,[status(thm)],[c_54333,c_52]) ).

cnf(c_54410,plain,
    ( ~ coll(sK24,sK22,sK22)
    | ~ midp(sK22,sK22,sK20)
    | midp(sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_54392]) ).

cnf(c_54417,plain,
    para(sK22,sK20,sK22,sK24),
    inference(superposition,[status(thm)],[c_54353,c_52]) ).

cnf(c_54467,plain,
    ( ~ coll(sK24,X0,sK20)
    | ~ midp(sK22,X0,sK22)
    | midp(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_54396,c_94]) ).

cnf(c_54486,plain,
    ( ~ coll(sK24,sK22,sK20)
    | ~ midp(sK22,sK22,sK22)
    | midp(sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_54467]) ).

cnf(c_54488,plain,
    ( ~ para(sK22,sK24,sK22,sK20)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_54417,c_113]) ).

cnf(c_54503,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK20,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_54488,c_54396]) ).

cnf(c_55839,plain,
    ( ~ cong(sK27,sK21,sK27,sK22)
    | cong(sK27,sK22,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_57585,plain,
    ( ~ midp(sK27,sK22,X0)
    | ~ coll(sK27,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_44268,c_102]) ).

cnf(c_57587,plain,
    ( ~ midp(sK27,sK22,X0)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_57585,c_4845]) ).

cnf(c_57601,plain,
    ( ~ perp(X0,sK22,X1,X2)
    | ~ midp(sK27,sK22,X0)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_57587,c_57]) ).

cnf(c_57604,plain,
    ( ~ midp(sK27,sK22,X0)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,X0,sK22,X0) ),
    inference(superposition,[status(thm)],[c_57587,c_55]) ).

cnf(c_57614,plain,
    ( ~ midp(sK27,sK22,sK20)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_57587,c_9066]) ).

cnf(c_57802,plain,
    ( ~ midp(sK27,sK22,sK20)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK20,sK21,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_57604,c_9066]) ).

cnf(c_57922,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK20,sK21,sK20,sK22) ),
    inference(global_subsumption_just,[status(thm)],[c_57614,c_7201,c_8053,c_17075,c_18499,c_25279,c_37955,c_57614]) ).

cnf(c_57931,plain,
    ( ~ midp(sK25,sK21,sK22)
    | perp(sK20,sK21,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_57922,c_55]) ).

cnf(c_58274,plain,
    ( ~ para(X0,X1,sK20,sK22)
    | eqangle(X0,X1,sK22,sK20,sK20,sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_58275,plain,
    ( ~ eqangle(X0,X1,sK22,sK20,sK20,sK22,sK22,sK20)
    | ~ para(sK20,sK22,sK22,sK20)
    | para(X0,X1,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_14520]) ).

cnf(c_58276,plain,
    ( ~ para(sK22,sK22,sK20,sK22)
    | eqangle(sK22,sK22,sK22,sK20,sK20,sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_58274]) ).

cnf(c_58277,plain,
    ( ~ eqangle(sK22,sK22,sK22,sK20,sK20,sK22,sK22,sK20)
    | ~ para(sK20,sK22,sK22,sK20)
    | para(sK22,sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_58275]) ).

cnf(c_58778,plain,
    ( ~ midp(sK27,sK22,sK24)
    | ~ midp(sK25,sK21,sK22)
    | para(sK21,sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_4838,c_57601]) ).

cnf(c_58971,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | ~ midp(sK27,sK22,sK24)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_58778,c_58]) ).

cnf(c_60518,plain,
    ( ~ midp(sK27,sK22,sK24)
    | ~ midp(sK25,sK21,sK22)
    | perp(sK21,sK24,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_57931,c_58971]) ).

cnf(c_61126,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_4837,c_102]) ).

cnf(c_61189,plain,
    perp(sK20,sK21,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_61126,c_2181,c_2268,c_6389,c_6555,c_7823,c_7916,c_7915,c_12132,c_13014,c_19669,c_25564,c_32146]) ).

cnf(c_61236,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_4838,c_104]) ).

cnf(c_61238,plain,
    ( ~ midp(sK21,sK21,sK22)
    | cong(sK20,sK21,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_61189,c_104]) ).

cnf(c_61595,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_61236,c_73]) ).

cnf(c_62463,plain,
    cong(sK20,sK21,sK20,sK22),
    inference(global_subsumption_just,[status(thm)],[c_61238,c_177,c_180,c_235,c_6388,c_6460,c_6569,c_6599,c_6667,c_6836,c_19566,c_22880,c_24834,c_32161,c_43182,c_46065]) ).

cnf(c_62466,plain,
    ( ~ coll(sK20,sK21,sK22)
    | midp(sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_62463,c_116]) ).

cnf(c_62467,plain,
    ( ~ cong(sK20,sK22,X0,X1)
    | cong(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_62463,c_73]) ).

cnf(c_62476,plain,
    ( ~ cong(sK20,sK22,sK22,sK22)
    | cong(sK20,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_62467]) ).

cnf(c_65450,plain,
    ( ~ cong(sK24,sK21,X0,X1)
    | cong(sK24,sK20,X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_61595,c_16103,c_22215,c_31300,c_62466]) ).

cnf(c_65457,plain,
    ( ~ midp(sK24,sK21,X0)
    | cong(sK24,sK20,sK24,X0) ),
    inference(superposition,[status(thm)],[c_117,c_65450]) ).

cnf(c_67663,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ coll(sK26,sK20,sK22)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(superposition,[status(thm)],[c_45255,c_102]) ).

cnf(c_67664,plain,
    ( ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | perp(sK20,X0,X0,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_67663,c_4843]) ).

cnf(c_67674,plain,
    ( ~ perp(X0,sK22,X1,X2)
    | ~ midp(sK26,sK22,X0)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_67664,c_57]) ).

cnf(c_68372,plain,
    ( ~ midp(sK20,X0,X1)
    | ~ midp(sK22,X0,X2)
    | para(sK22,sK20,X2,X1) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_68373,plain,
    ( ~ midp(sK20,sK22,sK22)
    | ~ midp(sK22,sK22,sK22)
    | para(sK22,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_68372]) ).

cnf(c_68380,plain,
    ( ~ midp(sK22,X0,X1)
    | ~ midp(sK24,X0,X2)
    | para(sK22,sK24,X1,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_68381,plain,
    ( ~ midp(sK22,sK22,sK22)
    | ~ midp(sK24,sK22,sK22)
    | para(sK22,sK24,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_68380]) ).

cnf(c_68426,plain,
    ( ~ midp(X0,X1,sK20)
    | ~ midp(X2,X1,sK22)
    | para(X0,X2,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_68427,plain,
    ( ~ midp(sK22,sK22,sK20)
    | ~ midp(sK22,sK22,sK22)
    | para(sK22,sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_68426]) ).

cnf(c_68572,plain,
    ( ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | para(sK20,sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_4838,c_67674]) ).

cnf(c_68734,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_68572,c_94]) ).

cnf(c_69328,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_4839,c_68734]) ).

cnf(c_69464,plain,
    midp(sK24,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_69328,c_16103,c_22230,c_31300,c_62466]) ).

cnf(c_69466,plain,
    ( ~ midp(sK24,X0,X1)
    | para(sK20,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_69464,c_112]) ).

cnf(c_69469,plain,
    midp(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_69464,c_59]) ).

cnf(c_69495,plain,
    ( ~ midp(sK24,sK21,X0)
    | para(sK27,sK25,sK21,X0) ),
    inference(superposition,[status(thm)],[c_69466,c_36920]) ).

cnf(c_70782,plain,
    midp(sK20,sK22,sK20),
    inference(global_subsumption_just,[status(thm)],[c_52054,c_177,c_180,c_235,c_6389,c_6460,c_6569,c_6599,c_6667,c_6846,c_19566,c_22880,c_24849,c_43182,c_46065]) ).

cnf(c_70787,plain,
    midp(sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_70782,c_59]) ).

cnf(c_71020,plain,
    ( ~ coll(sK25,X0,X1)
    | ~ midp(sK27,X0,sK21)
    | ~ midp(sK24,sK21,X1)
    | midp(sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_69495,c_94]) ).

cnf(c_71044,plain,
    ( ~ coll(sK25,sK22,sK22)
    | ~ midp(sK27,sK22,sK21)
    | ~ midp(sK24,sK21,sK22)
    | midp(sK25,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_71020]) ).

cnf(c_71162,plain,
    ( ~ midp(sK24,sK21,X0)
    | circle(sK24,sK20,X0,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_45441,c_16103,c_22209,c_31300,c_62466,c_65457]) ).

cnf(c_71169,plain,
    ( ~ midp(sK24,sK21,X0)
    | ~ coll(sK24,sK20,sK21)
    | perp(sK20,X0,X0,sK21) ),
    inference(superposition,[status(thm)],[c_71162,c_102]) ).

cnf(c_71170,plain,
    ( ~ midp(sK24,sK21,X0)
    | perp(sK20,X0,X0,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71169,c_4839]) ).

cnf(c_71462,plain,
    ( ~ midp(X0,X0,sK21)
    | ~ midp(sK24,sK21,X0)
    | cong(sK20,X0,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_71170,c_104]) ).

cnf(c_71463,plain,
    ( ~ midp(sK24,sK21,X0)
    | perp(X0,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_71170,c_56]) ).

cnf(c_71469,plain,
    ( ~ midp(X0,sK20,sK21)
    | ~ midp(sK24,sK21,X1)
    | cong(sK20,X0,X1,X0) ),
    inference(superposition,[status(thm)],[c_71170,c_101]) ).

cnf(c_71551,plain,
    ( ~ midp(sK22,sK20,sK21)
    | ~ midp(sK24,sK21,sK22)
    | cong(sK20,sK22,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_71469]) ).

cnf(c_71571,plain,
    ( ~ midp(sK24,sK21,sK20)
    | para(sK24,sK22,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_71463,c_7333]) ).

cnf(c_71582,plain,
    para(sK24,sK22,sK20,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_71571,c_69469]) ).

cnf(c_75174,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK24,X0,sK20)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_71582,c_94]) ).

cnf(c_75191,plain,
    ( ~ coll(sK22,sK22,sK20)
    | ~ midp(sK24,sK22,sK20)
    | midp(sK22,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_75174]) ).

cnf(c_77174,plain,
    ( ~ midp(X0,sK22,sK20)
    | midp(X0,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_77175,plain,
    ( ~ midp(sK22,sK22,sK20)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_77174]) ).

cnf(c_77554,plain,
    cong(sK22,sK20,sK22,sK21),
    inference(global_subsumption_just,[status(thm)],[c_19574,c_16103,c_19574,c_22230,c_31300,c_62466]) ).

cnf(c_77558,plain,
    ( ~ coll(sK22,sK20,sK21)
    | midp(sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_77554,c_116]) ).

cnf(c_77573,plain,
    midp(sK22,sK20,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_77558,c_18991]) ).

cnf(c_77625,plain,
    cong(sK21,sK20,sK21,sK21),
    inference(backward_subsumption_resolution,[status(thm)],[c_43924,c_77573]) ).

cnf(c_77670,plain,
    perp(sK20,sK20,sK20,sK21),
    inference(backward_subsumption_resolution,[status(thm)],[c_27301,c_77573]) ).

cnf(c_77674,plain,
    midp(sK24,sK20,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_24313,c_77573]) ).

cnf(c_77689,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | cyclic(sK20,sK21,sK21,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15090,c_77573]) ).

cnf(c_77711,plain,
    cong(sK21,sK24,sK24,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_8251,c_77573]) ).

cnf(c_77714,plain,
    ( ~ cong(sK24,sK20,sK24,X0)
    | circle(sK24,sK20,X0,sK21) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_7435,c_77573]) ).

cnf(c_78092,plain,
    midp(sK24,sK24,sK21),
    inference(superposition,[status(thm)],[c_77674,c_38945]) ).

cnf(c_78093,plain,
    midp(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_77674,c_10422]) ).

cnf(c_78116,plain,
    ( ~ midp(sK20,sK20,sK21)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_77670,c_104]) ).

cnf(c_78198,plain,
    midp(sK24,sK21,sK24),
    inference(superposition,[status(thm)],[c_78092,c_59]) ).

cnf(c_78200,plain,
    ( ~ midp(sK24,sK21,sK24)
    | cong(sK20,sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_78092,c_71462]) ).

cnf(c_78201,plain,
    cong(sK20,sK24,sK20,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_78200,c_78198]) ).

cnf(c_78210,plain,
    midp(sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_78093,c_54503]) ).

cnf(c_78214,plain,
    midp(sK24,sK24,sK24),
    inference(superposition,[status(thm)],[c_78093,c_24815]) ).

cnf(c_78981,plain,
    cong(sK21,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_77625,c_72]) ).

cnf(c_82407,plain,
    cong(sK21,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_78981,c_71]) ).

cnf(c_83008,plain,
    ( ~ cong(sK20,sK21,X0,X1)
    | cong(sK21,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_82407,c_73]) ).

cnf(c_83009,plain,
    cong(sK20,sK21,sK21,sK21),
    inference(superposition,[status(thm)],[c_82407,c_72]) ).

cnf(c_83016,plain,
    ( ~ cong(sK20,sK21,sK22,sK22)
    | cong(sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_83008]) ).

cnf(c_83145,plain,
    cong(sK21,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_77711,c_71]) ).

cnf(c_83479,plain,
    cong(sK20,sK20,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_78116,c_27311,c_33000,c_70787,c_77573]) ).

cnf(c_83490,plain,
    cong(sK20,sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_83479,c_71]) ).

cnf(c_83751,plain,
    ( ~ midp(sK24,sK20,sK24)
    | cyclic(sK20,sK21,sK21,sK24) ),
    inference(superposition,[status(thm)],[c_6644,c_77689]) ).

cnf(c_83755,plain,
    cyclic(sK20,sK21,sK21,sK24),
    inference(forward_subsumption_resolution,[status(thm)],[c_83751,c_78210]) ).

cnf(c_83845,plain,
    ( ~ midp(sK24,sK20,sK24)
    | circle(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_6644,c_77714]) ).

cnf(c_83849,plain,
    circle(sK24,sK20,sK24,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_83845,c_78210]) ).

cnf(c_84575,plain,
    cong(sK20,sK24,sK21,sK24),
    inference(superposition,[status(thm)],[c_83145,c_72]) ).

cnf(c_85385,plain,
    ( ~ cong(sK20,X0,sK21,X0)
    | perp(sK20,sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_83490,c_105]) ).

cnf(c_85390,plain,
    ( ~ cong(sK20,sK22,sK21,sK22)
    | perp(sK20,sK21,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_85385]) ).

cnf(c_86072,plain,
    cong(sK20,sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_78201,c_71]) ).

cnf(c_86223,plain,
    cyclic(sK20,sK21,sK24,sK21),
    inference(superposition,[status(thm)],[c_83755,c_62]) ).

cnf(c_86230,plain,
    ( ~ coll(sK24,sK20,sK21)
    | perp(sK20,sK24,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_83849,c_102]) ).

cnf(c_86231,plain,
    perp(sK20,sK24,sK24,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_86230,c_4839]) ).

cnf(c_86240,plain,
    perp(sK24,sK21,sK20,sK24),
    inference(superposition,[status(thm)],[c_86231,c_56]) ).

cnf(c_86241,plain,
    perp(sK20,sK24,sK21,sK24),
    inference(superposition,[status(thm)],[c_86231,c_55]) ).

cnf(c_86244,plain,
    ( ~ circle(sK20,sK24,X0,X1)
    | eqangle(sK24,sK21,sK24,X0,X1,sK24,X1,X0) ),
    inference(superposition,[status(thm)],[c_86231,c_97]) ).

cnf(c_86272,plain,
    ( ~ perp(sK20,sK24,X0,X1)
    | para(sK24,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_86240,c_57]) ).

cnf(c_86353,plain,
    perp(sK21,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_86241,c_56]) ).

cnf(c_86468,plain,
    ( ~ para(X0,sK24,X0,X1)
    | ~ circle(sK20,sK24,X1,X0)
    | para(sK24,sK21,sK24,X1) ),
    inference(superposition,[status(thm)],[c_86244,c_122]) ).

cnf(c_86510,plain,
    ( ~ para(sK22,sK24,sK22,sK22)
    | ~ circle(sK20,sK24,sK22,sK22)
    | para(sK24,sK21,sK24,sK22) ),
    inference(instantiation,[status(thm)],[c_86468]) ).

cnf(c_87344,plain,
    perp(sK21,sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_86353,c_55]) ).

cnf(c_87445,plain,
    cong(sK21,sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_86072,c_72]) ).

cnf(c_87465,plain,
    ( ~ cong(sK20,sK21,sK21,sK21)
    | ~ cong(sK20,sK24,sK21,sK24)
    | perp(sK24,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_86223,c_106]) ).

cnf(c_87472,plain,
    perp(sK24,sK20,sK20,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_87465,c_84575,c_83009]) ).

cnf(c_87911,plain,
    ( ~ midp(sK26,sK22,sK24)
    | ~ midp(sK25,sK20,sK22)
    | para(sK24,sK21,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_67664,c_86272]) ).

cnf(c_88139,plain,
    ( ~ midp(X0,sK21,sK20)
    | cong(sK21,X0,sK24,X0) ),
    inference(superposition,[status(thm)],[c_87344,c_101]) ).

cnf(c_88153,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK21,sK22,sK24,sK22) ),
    inference(instantiation,[status(thm)],[c_88139]) ).

cnf(c_88293,plain,
    para(sK24,sK21,sK24,sK22),
    inference(global_subsumption_just,[status(thm)],[c_87911,c_177,c_180,c_235,c_6389,c_6460,c_6554,c_6555,c_6569,c_6599,c_6667,c_6758,c_6773,c_6800,c_7014,c_7064,c_7967,c_19566,c_21431,c_22880,c_36713,c_43182,c_46065,c_46386,c_54410,c_54486,c_68381,c_75191,c_86510]) ).

cnf(c_88299,plain,
    para(sK24,sK22,sK24,sK21),
    inference(superposition,[status(thm)],[c_88293,c_53]) ).

cnf(c_88403,plain,
    ( ~ para(sK24,sK21,sK24,sK22)
    | ~ midp(X0,sK24,sK24)
    | midp(X0,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_88299,c_113]) ).

cnf(c_88417,plain,
    ( ~ midp(X0,sK24,sK24)
    | midp(X0,sK22,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_88403,c_88293]) ).

cnf(c_88786,plain,
    cong(sK21,sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_87445,c_71]) ).

cnf(c_88933,plain,
    perp(sK20,sK21,sK24,sK20),
    inference(superposition,[status(thm)],[c_87472,c_56]) ).

cnf(c_88984,plain,
    midp(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_78214,c_88417]) ).

cnf(c_89494,plain,
    midp(sK24,sK21,sK22),
    inference(superposition,[status(thm)],[c_88984,c_59]) ).

cnf(c_91423,plain,
    ( ~ eqangle(sK27,sK20,sK27,sK26,sK21,sK20,sK21,sK26)
    | ~ coll(sK27,sK21,sK26)
    | cyclic(sK20,sK26,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_92842,plain,
    ( ~ cong(sK21,X0,sK24,X0)
    | perp(sK21,sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_88786,c_105]) ).

cnf(c_92847,plain,
    ( ~ cong(sK21,sK22,sK24,sK22)
    | perp(sK21,sK24,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_92842]) ).

cnf(c_93451,plain,
    para(sK24,sK22,sK24,sK20),
    inference(superposition,[status(thm)],[c_88933,c_7333]) ).

cnf(c_93624,plain,
    para(sK24,sK20,sK24,sK22),
    inference(superposition,[status(thm)],[c_93451,c_53]) ).

cnf(c_93787,plain,
    ( ~ para(sK24,sK22,sK24,sK20)
    | ~ midp(X0,sK24,sK24)
    | midp(X0,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_93624,c_113]) ).

cnf(c_93801,plain,
    ( ~ midp(X0,sK24,sK24)
    | midp(X0,sK20,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_93787,c_93451]) ).

cnf(c_93857,plain,
    midp(sK24,sK20,sK22),
    inference(superposition,[status(thm)],[c_78214,c_93801]) ).

cnf(c_94119,plain,
    midp(sK24,sK22,sK20),
    inference(superposition,[status(thm)],[c_93857,c_59]) ).

cnf(c_97991,plain,
    ( ~ cong(sK27,sK22,sK27,sK21)
    | ~ coll(sK27,sK22,sK21)
    | midp(sK27,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_99369,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_100777,plain,
    ( ~ para(X0,sK20,X1,sK22)
    | ~ para(X0,sK22,X1,sK20)
    | ~ midp(sK25,X0,X1)
    | midp(sK25,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_100778,plain,
    ( ~ para(sK22,sK20,sK22,sK22)
    | ~ para(sK22,sK22,sK22,sK20)
    | ~ midp(sK25,sK22,sK22)
    | midp(sK25,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_100777]) ).

cnf(c_102575,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_99369]) ).

cnf(c_102576,plain,
    ( ~ eqratio(sK27,sK21,sK21,sK21,sK27,sK22,sK22,sK22)
    | eqratio(sK27,sK21,sK27,sK22,sK21,sK21,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_23534]) ).

cnf(c_112951,plain,
    perp(sK20,sK21,sK22,sK20),
    inference(global_subsumption_just,[status(thm)],[c_57802,c_177,c_180,c_235,c_2181,c_6389,c_6460,c_6555,c_6569,c_6599,c_6667,c_6773,c_7064,c_7241,c_7823,c_7916,c_7915,c_12132,c_13014,c_19566,c_19669,c_22880,c_25564,c_32146,c_43182,c_46065,c_54486,c_75191,c_77175,c_85390]) ).

cnf(c_112961,plain,
    perp(sK27,sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_112951,c_36919]) ).

cnf(c_113762,plain,
    perp(sK21,sK24,sK22,sK20),
    inference(global_subsumption_just,[status(thm)],[c_60518,c_16103,c_31300,c_62466,c_88153,c_92847]) ).

cnf(c_113765,plain,
    ( ~ midp(sK24,sK22,sK20)
    | cong(sK21,sK22,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_113762,c_104]) ).

cnf(c_113769,plain,
    cong(sK21,sK22,sK21,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_113765,c_94119]) ).

cnf(c_115453,plain,
    ( ~ midp(sK25,sK22,sK20)
    | cong(sK27,sK22,sK27,sK20) ),
    inference(superposition,[status(thm)],[c_112961,c_104]) ).

cnf(c_138202,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_13722]) ).

cnf(c_146296,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK21,sK20,sK21,sK26)
    | ~ eqangle(sK27,sK20,sK27,sK26,X0,X1,X2,X3)
    | eqangle(sK27,sK20,sK27,sK26,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_146611,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK27,sK20,sK27,sK26)
    | eqangle(sK27,sK20,sK27,sK26,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_146627,plain,
    ( ~ eqangle(X0,sK20,X0,X1,sK21,sK20,sK21,sK26)
    | ~ eqangle(sK27,sK20,sK27,sK26,X0,sK20,X0,X1)
    | eqangle(sK27,sK20,sK27,sK26,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_146296]) ).

cnf(c_146689,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_148627,plain,
    ( ~ circle(sK27,X0,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | eqangle(X0,sK20,X0,sK20,sK27,sK20,sK27,sK26) ),
    inference(instantiation,[status(thm)],[c_146689]) ).

cnf(c_148628,plain,
    ( ~ eqangle(X0,sK20,X0,sK20,sK27,sK20,sK27,sK26)
    | eqangle(sK27,sK20,sK27,sK26,X0,sK20,X0,sK20) ),
    inference(instantiation,[status(thm)],[c_146611]) ).

cnf(c_148630,plain,
    ( ~ circle(sK27,sK22,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | eqangle(sK22,sK20,sK22,sK20,sK27,sK20,sK27,sK26) ),
    inference(instantiation,[status(thm)],[c_148627]) ).

cnf(c_148631,plain,
    ( ~ eqangle(sK22,sK20,sK22,sK20,sK27,sK20,sK27,sK26)
    | eqangle(sK27,sK20,sK27,sK26,sK22,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_148628]) ).

cnf(c_148632,plain,
    ( ~ circle(sK21,X0,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | eqangle(X0,sK20,X0,sK20,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_146689]) ).

cnf(c_148633,plain,
    ( ~ eqangle(X0,sK20,X0,sK20,sK21,sK20,sK21,sK26)
    | ~ eqangle(sK27,sK20,sK27,sK26,X0,sK20,X0,sK20)
    | eqangle(sK27,sK20,sK27,sK26,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_146627]) ).

cnf(c_148634,plain,
    ( ~ circle(sK21,sK22,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | eqangle(sK22,sK20,sK22,sK20,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_148632]) ).

cnf(c_148635,plain,
    ( ~ eqangle(sK27,sK20,sK27,sK26,sK22,sK20,sK22,sK20)
    | ~ eqangle(sK22,sK20,sK22,sK20,sK21,sK20,sK21,sK26)
    | eqangle(sK27,sK20,sK27,sK26,sK21,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_148633]) ).

cnf(c_151539,plain,
    ( ~ cong(sK27,X0,sK27,sK20)
    | circle(sK27,X0,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_151540,plain,
    ( ~ cong(sK27,sK22,sK27,sK20)
    | circle(sK27,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_151539]) ).

cnf(c_151543,plain,
    ( ~ cong(sK21,X0,sK21,sK20)
    | circle(sK21,X0,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_60]) ).

cnf(c_151544,plain,
    ( ~ cong(sK21,sK22,sK21,sK20)
    | circle(sK21,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_151543]) ).

cnf(c_151545,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_151544,c_151540,c_148635,c_148634,c_148631,c_148630,c_138202,c_115453,c_113769,c_102576,c_102575,c_100778,c_97991,c_91423,c_89494,c_83016,c_77573,c_75191,c_71551,c_71044,c_68427,c_68373,c_62476,c_58277,c_58276,c_55839,c_54486,c_46065,c_43182,c_37773,c_24204,c_22880,c_19765,c_19566,c_19301,c_15404,c_8999,c_8476,c_7064,c_6831,c_6773,c_6761,c_6667,c_6663,c_6610,c_6599,c_6569,c_6555,c_6551,c_6460,c_6389,c_6380,c_235,c_180,c_177,c_162]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO612+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May  3 01:41:50 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 61.54/9.23  % SZS status Started for theBenchmark.p
% 61.54/9.23  % SZS status Theorem for theBenchmark.p
% 61.54/9.23  
% 61.54/9.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 61.54/9.23  
% 61.54/9.23  ------  iProver source info
% 61.54/9.23  
% 61.54/9.23  git: date: 2024-05-02 19:28:25 +0000
% 61.54/9.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 61.54/9.23  git: non_committed_changes: false
% 61.54/9.23  
% 61.54/9.23  ------ Parsing...
% 61.54/9.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 61.54/9.23  
% 61.54/9.23  ------ 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 
% 61.54/9.23  
% 61.54/9.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 61.54/9.23  
% 61.54/9.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 61.54/9.23  ------ Proving...
% 61.54/9.23  ------ Problem Properties 
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  clauses                                 122
% 61.54/9.23  conjectures                             10
% 61.54/9.23  EPR                                     85
% 61.54/9.23  Horn                                    112
% 61.54/9.23  unary                                   10
% 61.54/9.23  binary                                  37
% 61.54/9.23  lits                                    338
% 61.54/9.23  lits eq                                 4
% 61.54/9.23  fd_pure                                 0
% 61.54/9.23  fd_pseudo                               0
% 61.54/9.23  fd_cond                                 0
% 61.54/9.23  fd_pseudo_cond                          4
% 61.54/9.23  AC symbols                              0
% 61.54/9.23  
% 61.54/9.23  ------ Schedule dynamic 5 is on 
% 61.54/9.23  
% 61.54/9.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  ------ 
% 61.54/9.23  Current options:
% 61.54/9.23  ------ 
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  ------ Proving...
% 61.54/9.23  
% 61.54/9.23  
% 61.54/9.23  % SZS status Theorem for theBenchmark.p
% 61.54/9.23  
% 61.54/9.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 61.54/9.23  
% 61.54/9.24  
%------------------------------------------------------------------------------