TSTP Solution File: GEO629+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 30 23:12:11 EDT 2023

% Result   : Theorem 80.49s 16.21s
% Output   : CNFRefutation 80.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :   40
% Syntax   : Number of formulae    :  543 ( 134 unt;   0 def)
%            Number of atoms       : 1301 (   0 equ)
%            Maximal formula atoms :   28 (   2 avg)
%            Number of connectives : 1315 ( 557   ~; 547   |; 148   &)
%                                         (   0 <=>;  63  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   29 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   15 (  15 usr;  14 con; 0-5 aty)
%            Number of variables   : 1295 (   0 sgn; 794   !;  47   ?)

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

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

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

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

fof(f19,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X2,X3,X0,X1,X10,X11,X8,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD19) ).

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

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

fof(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(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD39) ).

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

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

fof(f91,axiom,
    ! [X0,X1,X2,X4,X5] :
    ? [X8] :
      ( ( coll(X1,X4,X5)
        & perp(X0,X2,X2,X1) )
     => ( perp(X8,X0,X4,X5)
        & coll(X8,X4,X5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X18,X19,X20,X8,X5,X12,X21,X22,X23,X24] :
      ( ( circle(X7,X0,X21,X24)
        & para(X19,X20,X21,X8)
        & coll(X12,X0,X1)
        & perp(X12,X8,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X8,X0,X2)
        & circle(X7,X0,X8,X23)
        & coll(X20,X0,X1)
        & perp(X20,X18,X0,X1)
        & coll(X19,X0,X2)
        & perp(X19,X18,X0,X2)
        & circle(X7,X0,X18,X22)
        & circle(X7,X0,X1,X2) )
     => para(X21,X18,X12,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110992) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X18,X19,X20,X8,X5,X12,X21,X22,X23,X24] :
        ( ( circle(X7,X0,X21,X24)
          & para(X19,X20,X21,X8)
          & coll(X12,X0,X1)
          & perp(X12,X8,X0,X1)
          & coll(X5,X0,X2)
          & perp(X5,X8,X0,X2)
          & circle(X7,X0,X8,X23)
          & coll(X20,X0,X1)
          & perp(X20,X18,X0,X1)
          & coll(X19,X0,X2)
          & perp(X19,X18,X0,X2)
          & circle(X7,X0,X18,X22)
          & circle(X7,X0,X1,X2) )
       => para(X21,X18,X12,X5) ),
    inference(negated_conjecture,[],[f95]) ).

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

fof(f100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f18]) ).

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

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

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

fof(f118,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    inference(rectify,[],[f39]) ).

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

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

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

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

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

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

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

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

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

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

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

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

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
        ( ( circle(X3,X0,X10,X13)
          & para(X5,X6,X10,X7)
          & coll(X9,X0,X1)
          & perp(X9,X7,X0,X1)
          & coll(X8,X0,X2)
          & perp(X8,X7,X0,X2)
          & circle(X3,X0,X7,X12)
          & coll(X6,X0,X1)
          & perp(X6,X4,X0,X1)
          & coll(X5,X0,X2)
          & perp(X5,X4,X0,X2)
          & circle(X3,X0,X4,X11)
          & circle(X3,X0,X1,X2) )
       => para(X10,X4,X9,X8) ),
    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(f182,plain,
    ! [X0,X1,X2] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(ennf_transformation,[],[f97]) ).

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

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

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

fof(f193,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f101]) ).

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

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

fof(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(f218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f118]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ para(X10,X4,X9,X8)
      & circle(X3,X0,X10,X13)
      & para(X5,X6,X10,X7)
      & coll(X9,X0,X1)
      & perp(X9,X7,X0,X1)
      & coll(X8,X0,X2)
      & perp(X8,X7,X0,X2)
      & circle(X3,X0,X7,X12)
      & coll(X6,X0,X1)
      & perp(X6,X4,X0,X1)
      & coll(X5,X0,X2)
      & perp(X5,X4,X0,X2)
      & circle(X3,X0,X4,X11)
      & circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
      ( ~ para(X10,X4,X9,X8)
      & circle(X3,X0,X10,X13)
      & para(X5,X6,X10,X7)
      & coll(X9,X0,X1)
      & perp(X9,X7,X0,X1)
      & coll(X8,X0,X2)
      & perp(X8,X7,X0,X2)
      & circle(X3,X0,X7,X12)
      & coll(X6,X0,X1)
      & perp(X6,X4,X0,X1)
      & coll(X5,X0,X2)
      & perp(X5,X4,X0,X2)
      & circle(X3,X0,X4,X11)
      & circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f319]) ).

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

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

fof(f358,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
        ( ~ para(X10,X4,X9,X8)
        & circle(X3,X0,X10,X13)
        & para(X5,X6,X10,X7)
        & coll(X9,X0,X1)
        & perp(X9,X7,X0,X1)
        & coll(X8,X0,X2)
        & perp(X8,X7,X0,X2)
        & circle(X3,X0,X7,X12)
        & coll(X6,X0,X1)
        & perp(X6,X4,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X4,X0,X2)
        & circle(X3,X0,X4,X11)
        & circle(X3,X0,X1,X2) )
   => ( ~ para(sK30,sK24,sK29,sK28)
      & circle(sK23,sK20,sK30,sK33)
      & para(sK25,sK26,sK30,sK27)
      & coll(sK29,sK20,sK21)
      & perp(sK29,sK27,sK20,sK21)
      & coll(sK28,sK20,sK22)
      & perp(sK28,sK27,sK20,sK22)
      & circle(sK23,sK20,sK27,sK32)
      & coll(sK26,sK20,sK21)
      & perp(sK26,sK24,sK20,sK21)
      & coll(sK25,sK20,sK22)
      & perp(sK25,sK24,sK20,sK22)
      & circle(sK23,sK20,sK24,sK31)
      & circle(sK23,sK20,sK21,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f359,plain,
    ( ~ para(sK30,sK24,sK29,sK28)
    & circle(sK23,sK20,sK30,sK33)
    & para(sK25,sK26,sK30,sK27)
    & coll(sK29,sK20,sK21)
    & perp(sK29,sK27,sK20,sK21)
    & coll(sK28,sK20,sK22)
    & perp(sK28,sK27,sK20,sK22)
    & circle(sK23,sK20,sK27,sK32)
    & coll(sK26,sK20,sK21)
    & perp(sK26,sK24,sK20,sK21)
    & coll(sK25,sK20,sK22)
    & perp(sK25,sK24,sK20,sK22)
    & circle(sK23,sK20,sK24,sK31)
    & circle(sK23,sK20,sK21,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33])],[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(f370,plain,
    ! [X2,X0,X1] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(cnf_transformation,[],[f182]) ).

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

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

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

fof(f378,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f193]) ).

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

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

fof(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(f398,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f218]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f467,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(sK16(X0,X1,X2,X3,X4),X0,X3,X4)
      | ~ coll(X1,X3,X4)
      | ~ perp(X0,X2,X2,X1) ),
    inference(cnf_transformation,[],[f351]) ).

fof(f474,plain,
    circle(sK23,sK20,sK24,sK31),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    perp(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

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

fof(f480,plain,
    perp(sK28,sK27,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    coll(sK28,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    perp(sK29,sK27,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f483,plain,
    coll(sK29,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f484,plain,
    para(sK25,sK26,sK30,sK27),
    inference(cnf_transformation,[],[f359]) ).

fof(f486,plain,
    ~ para(sK30,sK24,sK29,sK28),
    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_59,plain,
    ( ~ midp(X0,X1,X2)
    | midp(X0,X2,X1) ),
    inference(cnf_transformation,[],[f370]) ).

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

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

cnf(c_66,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_67,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f378]) ).

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

cnf(c_69,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_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_87,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f398]) ).

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

cnf(c_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_94,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ coll(X1,X4,X3)
    | ~ midp(X0,X4,X2)
    | midp(X1,X4,X3) ),
    inference(cnf_transformation,[],[f405]) ).

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

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

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

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

cnf(c_106,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cong(X0,X3,X2,X3)
    | ~ cyclic(X0,X2,X1,X3)
    | perp(X1,X0,X0,X3) ),
    inference(cnf_transformation,[],[f417]) ).

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

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

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

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

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

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

cnf(c_123,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ perp(X4,X5,X6,X7)
    | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f434]) ).

cnf(c_155,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ coll(X2,X3,X4)
    | perp(sK16(X0,X2,X1,X3,X4),X0,X3,X4) ),
    inference(cnf_transformation,[],[f467]) ).

cnf(c_162,negated_conjecture,
    ~ para(sK30,sK24,sK29,sK28),
    inference(cnf_transformation,[],[f486]) ).

cnf(c_164,negated_conjecture,
    para(sK25,sK26,sK30,sK27),
    inference(cnf_transformation,[],[f484]) ).

cnf(c_165,negated_conjecture,
    coll(sK29,sK20,sK21),
    inference(cnf_transformation,[],[f483]) ).

cnf(c_166,negated_conjecture,
    perp(sK29,sK27,sK20,sK21),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_167,negated_conjecture,
    coll(sK28,sK20,sK22),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_168,negated_conjecture,
    perp(sK28,sK27,sK20,sK22),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_170,negated_conjecture,
    coll(sK26,sK20,sK21),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_171,negated_conjecture,
    perp(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_174,negated_conjecture,
    circle(sK23,sK20,sK24,sK31),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_181,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | midp(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_190,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_6950,plain,
    coll(sK29,sK21,sK20),
    inference(superposition,[status(thm)],[c_165,c_49]) ).

cnf(c_6951,plain,
    coll(sK28,sK22,sK20),
    inference(superposition,[status(thm)],[c_167,c_49]) ).

cnf(c_6952,plain,
    coll(sK26,sK21,sK20),
    inference(superposition,[status(thm)],[c_170,c_49]) ).

cnf(c_6962,plain,
    coll(sK20,sK29,sK21),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_6966,plain,
    coll(sK21,sK29,sK20),
    inference(superposition,[status(thm)],[c_6950,c_50]) ).

cnf(c_6968,plain,
    coll(sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_6952,c_50]) ).

cnf(c_7022,plain,
    para(sK25,sK26,sK27,sK30),
    inference(superposition,[status(thm)],[c_164,c_52]) ).

cnf(c_7030,plain,
    ( ~ coll(sK29,sK20,X0)
    | coll(sK21,X0,sK29) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_7031,plain,
    ( ~ coll(sK28,sK20,X0)
    | coll(sK22,X0,sK28) ),
    inference(superposition,[status(thm)],[c_167,c_51]) ).

cnf(c_7032,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_170,c_51]) ).

cnf(c_7034,plain,
    ( ~ coll(sK29,sK21,X0)
    | coll(sK20,X0,sK29) ),
    inference(superposition,[status(thm)],[c_6950,c_51]) ).

cnf(c_7035,plain,
    ( ~ coll(sK28,sK22,X0)
    | coll(sK20,X0,sK28) ),
    inference(superposition,[status(thm)],[c_6951,c_51]) ).

cnf(c_7036,plain,
    ( ~ coll(sK26,sK21,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6952,c_51]) ).

cnf(c_7038,plain,
    ( ~ coll(sK20,sK29,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6962,c_51]) ).

cnf(c_7042,plain,
    ( ~ coll(sK21,sK29,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6966,c_51]) ).

cnf(c_7044,plain,
    ( ~ coll(sK21,sK26,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6968,c_51]) ).

cnf(c_7117,plain,
    ( ~ coll(sK29,sK21,sK20)
    | coll(sK20,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_7034]) ).

cnf(c_7122,plain,
    para(sK30,sK27,sK25,sK26),
    inference(superposition,[status(thm)],[c_164,c_53]) ).

cnf(c_7136,plain,
    perp(sK20,sK21,sK29,sK27),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_7137,plain,
    perp(sK20,sK22,sK28,sK27),
    inference(superposition,[status(thm)],[c_168,c_56]) ).

cnf(c_7138,plain,
    perp(sK20,sK21,sK26,sK24),
    inference(superposition,[status(thm)],[c_171,c_56]) ).

cnf(c_7157,plain,
    perp(sK20,sK21,sK27,sK29),
    inference(superposition,[status(thm)],[c_7136,c_55]) ).

cnf(c_7161,plain,
    perp(sK20,sK21,sK24,sK26),
    inference(superposition,[status(thm)],[c_7138,c_55]) ).

cnf(c_7168,plain,
    coll(sK21,sK21,sK29),
    inference(superposition,[status(thm)],[c_165,c_7030]) ).

cnf(c_7169,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK29,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7168,c_51]) ).

cnf(c_7227,plain,
    coll(sK21,sK21,sK26),
    inference(superposition,[status(thm)],[c_170,c_7032]) ).

cnf(c_7228,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK26,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7227,c_51]) ).

cnf(c_7263,plain,
    coll(sK20,sK20,sK29),
    inference(superposition,[status(thm)],[c_6950,c_7034]) ).

cnf(c_7296,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK29,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7263,c_51]) ).

cnf(c_7298,plain,
    coll(sK20,sK29,sK20),
    inference(superposition,[status(thm)],[c_7263,c_49]) ).

cnf(c_7320,plain,
    coll(sK20,sK20,sK28),
    inference(superposition,[status(thm)],[c_6951,c_7035]) ).

cnf(c_7344,plain,
    ( ~ coll(sK20,sK29,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7298,c_51]) ).

cnf(c_7345,plain,
    coll(sK29,sK20,sK20),
    inference(superposition,[status(thm)],[c_7298,c_50]) ).

cnf(c_7349,plain,
    ( ~ coll(sK20,sK29,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7344]) ).

cnf(c_7350,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK28,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7320,c_51]) ).

cnf(c_7352,plain,
    coll(sK20,sK28,sK20),
    inference(superposition,[status(thm)],[c_7320,c_49]) ).

cnf(c_7391,plain,
    coll(sK21,sK20,sK20),
    inference(superposition,[status(thm)],[c_7298,c_7038]) ).

cnf(c_7427,plain,
    coll(sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_6966,c_7042]) ).

cnf(c_7460,plain,
    ( ~ coll(sK20,sK28,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7352,c_51]) ).

cnf(c_7486,plain,
    coll(sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_7391,c_50]) ).

cnf(c_7494,plain,
    coll(sK29,sK29,sK21),
    inference(superposition,[status(thm)],[c_7168,c_7169]) ).

cnf(c_7499,plain,
    ( ~ coll(sK29,sK29,X0)
    | coll(sK21,X0,sK29) ),
    inference(superposition,[status(thm)],[c_7494,c_51]) ).

cnf(c_7501,plain,
    coll(sK29,sK21,sK29),
    inference(superposition,[status(thm)],[c_7494,c_49]) ).

cnf(c_7531,plain,
    ( ~ para(sK25,sK26,sK30,sK27)
    | eqangle(sK25,sK26,X0,X1,sK30,sK27,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_7532,plain,
    ( ~ para(sK25,sK26,sK30,sK27)
    | eqangle(sK25,sK26,sK20,sK20,sK30,sK27,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7531]) ).

cnf(c_7548,plain,
    coll(sK26,sK26,sK21),
    inference(superposition,[status(thm)],[c_7227,c_7228]) ).

cnf(c_7549,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_7548,c_51]) ).

cnf(c_7613,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7427,c_51]) ).

cnf(c_7647,plain,
    coll(sK20,sK29,sK29),
    inference(superposition,[status(thm)],[c_7501,c_7034]) ).

cnf(c_7783,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK25,sK26,sK30,sK27)
    | ~ para(sK25,sK26,sK30,sK27)
    | para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_7784,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK20,sK25,sK26,sK30,sK27)
    | ~ para(sK25,sK26,sK30,sK27)
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7783]) ).

cnf(c_7811,plain,
    ( ~ para(sK25,sK26,X0,X1)
    | para(sK30,sK27,X0,X1) ),
    inference(superposition,[status(thm)],[c_7122,c_54]) ).

cnf(c_7844,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK29,sK27,X0,X1) ),
    inference(superposition,[status(thm)],[c_166,c_57]) ).

cnf(c_7845,plain,
    ( ~ perp(sK20,sK22,X0,X1)
    | para(sK28,sK27,X0,X1) ),
    inference(superposition,[status(thm)],[c_168,c_57]) ).

cnf(c_7846,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK26,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_171,c_57]) ).

cnf(c_8337,plain,
    para(sK29,sK27,sK29,sK27),
    inference(superposition,[status(thm)],[c_7136,c_7844]) ).

cnf(c_8339,plain,
    para(sK29,sK27,sK27,sK29),
    inference(superposition,[status(thm)],[c_7157,c_7844]) ).

cnf(c_8347,plain,
    para(sK28,sK27,sK28,sK27),
    inference(superposition,[status(thm)],[c_7137,c_7845]) ).

cnf(c_8357,plain,
    para(sK26,sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_7138,c_7846]) ).

cnf(c_8359,plain,
    para(sK26,sK24,sK24,sK26),
    inference(superposition,[status(thm)],[c_7161,c_7846]) ).

cnf(c_8494,plain,
    coll(sK29,sK27,sK27),
    inference(superposition,[status(thm)],[c_8337,c_115]) ).

cnf(c_8507,plain,
    para(sK27,sK29,sK29,sK27),
    inference(superposition,[status(thm)],[c_8339,c_53]) ).

cnf(c_8645,plain,
    coll(sK28,sK27,sK27),
    inference(superposition,[status(thm)],[c_8347,c_115]) ).

cnf(c_8690,plain,
    coll(sK26,sK24,sK24),
    inference(superposition,[status(thm)],[c_8357,c_115]) ).

cnf(c_8718,plain,
    para(sK24,sK26,sK26,sK24),
    inference(superposition,[status(thm)],[c_8359,c_53]) ).

cnf(c_9171,plain,
    ( ~ para(X0,X1,X0,X1)
    | ~ coll(X0,X0,X2)
    | cyclic(X1,X2,X0,X0) ),
    inference(superposition,[status(thm)],[c_88,c_91]) ).

cnf(c_9184,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9171]) ).

cnf(c_10148,plain,
    coll(sK27,sK29,sK27),
    inference(superposition,[status(thm)],[c_8494,c_50]) ).

cnf(c_10539,plain,
    coll(sK27,sK28,sK27),
    inference(superposition,[status(thm)],[c_8645,c_50]) ).

cnf(c_10547,plain,
    coll(sK24,sK26,sK24),
    inference(superposition,[status(thm)],[c_8690,c_50]) ).

cnf(c_10601,plain,
    ( ~ eqangle(sK25,sK26,X0,X1,sK30,sK27,X0,X1)
    | eqangle(sK25,sK26,sK30,sK27,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_10608,plain,
    ( ~ eqangle(sK25,sK26,sK20,sK20,sK30,sK27,sK20,sK20)
    | eqangle(sK25,sK26,sK30,sK27,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_10601]) ).

cnf(c_10822,plain,
    ( ~ para(sK29,sK27,sK29,sK27)
    | ~ midp(X0,sK29,sK29)
    | midp(X0,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_8337,c_113]) ).

cnf(c_10885,plain,
    ( ~ midp(X0,sK29,sK29)
    | midp(X0,sK27,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10822,c_8337]) ).

cnf(c_10922,plain,
    ( ~ midp(sK20,sK29,sK29)
    | midp(sK20,sK27,sK27) ),
    inference(instantiation,[status(thm)],[c_10885]) ).

cnf(c_11134,plain,
    para(sK30,sK27,sK30,sK27),
    inference(superposition,[status(thm)],[c_164,c_7811]) ).

cnf(c_11135,plain,
    para(sK30,sK27,sK27,sK30),
    inference(superposition,[status(thm)],[c_7022,c_7811]) ).

cnf(c_11143,plain,
    ( ~ para(sK30,sK27,sK30,sK27)
    | ~ midp(X0,sK30,sK30)
    | midp(X0,sK27,sK27) ),
    inference(superposition,[status(thm)],[c_11134,c_113]) ).

cnf(c_11149,plain,
    coll(sK30,sK27,sK27),
    inference(superposition,[status(thm)],[c_11134,c_115]) ).

cnf(c_11154,plain,
    ( ~ midp(X0,sK30,sK30)
    | midp(X0,sK27,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11143,c_11134]) ).

cnf(c_11157,plain,
    ( ~ midp(sK20,sK30,sK30)
    | midp(sK20,sK27,sK27) ),
    inference(instantiation,[status(thm)],[c_11154]) ).

cnf(c_11165,plain,
    coll(sK27,sK30,sK27),
    inference(superposition,[status(thm)],[c_11149,c_50]) ).

cnf(c_11174,plain,
    para(sK27,sK30,sK30,sK27),
    inference(superposition,[status(thm)],[c_11135,c_53]) ).

cnf(c_12318,plain,
    ( ~ coll(sK27,sK29,X0)
    | coll(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_10148,c_51]) ).

cnf(c_12351,plain,
    ( ~ coll(sK27,sK28,X0)
    | coll(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_10539,c_51]) ).

cnf(c_12685,plain,
    ( ~ coll(sK24,sK26,X0)
    | coll(sK24,X0,sK24) ),
    inference(superposition,[status(thm)],[c_10547,c_51]) ).

cnf(c_12703,plain,
    coll(sK27,sK27,sK30),
    inference(superposition,[status(thm)],[c_11165,c_49]) ).

cnf(c_13628,plain,
    ( ~ coll(sK27,sK27,X0)
    | coll(sK30,X0,sK27) ),
    inference(superposition,[status(thm)],[c_12703,c_51]) ).

cnf(c_15382,plain,
    coll(sK29,sK28,sK20),
    inference(superposition,[status(thm)],[c_7320,c_7296]) ).

cnf(c_15950,plain,
    coll(sK29,sK20,sK28),
    inference(superposition,[status(thm)],[c_15382,c_49]) ).

cnf(c_16316,plain,
    ( ~ para(X0,X1,X0,X2)
    | ~ cyclic(X1,X3,X0,X0)
    | ~ cyclic(X1,X3,X0,X2)
    | ~ cyclic(X1,X3,X0,X3)
    | cong(X1,X3,X2,X3) ),
    inference(superposition,[status(thm)],[c_88,c_92]) ).

cnf(c_16352,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ cyclic(sK20,sK20,sK20,sK20)
    | cong(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_16316]) ).

cnf(c_17150,plain,
    coll(sK20,sK29,sK28),
    inference(superposition,[status(thm)],[c_15950,c_50]) ).

cnf(c_20877,plain,
    ( ~ eqangle(sK25,sK26,sK30,sK27,X0,X1,X0,X1)
    | eqangle(X0,X1,X0,X1,sK25,sK26,sK30,sK27) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_20882,plain,
    ( ~ eqangle(sK25,sK26,sK30,sK27,sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK25,sK26,sK30,sK27) ),
    inference(instantiation,[status(thm)],[c_20877]) ).

cnf(c_26621,plain,
    para(sK27,sK29,sK27,sK29),
    inference(superposition,[status(thm)],[c_8507,c_52]) ).

cnf(c_26791,plain,
    para(sK24,sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_8718,c_52]) ).

cnf(c_26945,plain,
    para(sK27,sK30,sK27,sK30),
    inference(superposition,[status(thm)],[c_11174,c_52]) ).

cnf(c_27509,plain,
    ( ~ para(sK27,sK29,sK27,sK29)
    | ~ midp(X0,sK27,sK27)
    | midp(X0,sK29,sK29) ),
    inference(superposition,[status(thm)],[c_26621,c_113]) ).

cnf(c_27515,plain,
    coll(sK27,sK29,sK29),
    inference(superposition,[status(thm)],[c_26621,c_115]) ).

cnf(c_27519,plain,
    ( ~ midp(X0,sK27,sK27)
    | midp(X0,sK29,sK29) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_27509,c_26621]) ).

cnf(c_27522,plain,
    ( ~ midp(sK20,sK27,sK27)
    | midp(sK20,sK29,sK29) ),
    inference(instantiation,[status(thm)],[c_27519]) ).

cnf(c_27583,plain,
    coll(sK29,sK27,sK29),
    inference(superposition,[status(thm)],[c_27515,c_50]) ).

cnf(c_27590,plain,
    coll(sK29,sK29,sK27),
    inference(superposition,[status(thm)],[c_27583,c_49]) ).

cnf(c_27596,plain,
    coll(sK21,sK27,sK29),
    inference(superposition,[status(thm)],[c_27590,c_7499]) ).

cnf(c_27602,plain,
    coll(sK21,sK29,sK27),
    inference(superposition,[status(thm)],[c_27596,c_49]) ).

cnf(c_27804,plain,
    coll(sK29,sK21,sK27),
    inference(superposition,[status(thm)],[c_27602,c_50]) ).

cnf(c_27821,plain,
    coll(sK20,sK27,sK29),
    inference(superposition,[status(thm)],[c_27804,c_7034]) ).

cnf(c_27868,plain,
    coll(sK27,sK20,sK29),
    inference(superposition,[status(thm)],[c_27821,c_50]) ).

cnf(c_27869,plain,
    coll(sK20,sK29,sK27),
    inference(superposition,[status(thm)],[c_27821,c_49]) ).

cnf(c_28108,plain,
    coll(sK27,sK29,sK20),
    inference(superposition,[status(thm)],[c_27868,c_49]) ).

cnf(c_28115,plain,
    coll(sK20,sK27,sK20),
    inference(superposition,[status(thm)],[c_27869,c_7344]) ).

cnf(c_28573,plain,
    coll(sK20,sK20,sK27),
    inference(superposition,[status(thm)],[c_28115,c_49]) ).

cnf(c_28757,plain,
    ( ~ para(sK29,sK28,sK30,sK24)
    | para(sK30,sK24,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_29834,plain,
    coll(sK28,sK27,sK20),
    inference(superposition,[status(thm)],[c_28573,c_7350]) ).

cnf(c_31130,plain,
    coll(sK28,sK20,sK27),
    inference(superposition,[status(thm)],[c_29834,c_49]) ).

cnf(c_31938,plain,
    coll(sK22,sK27,sK28),
    inference(superposition,[status(thm)],[c_31130,c_7031]) ).

cnf(c_32013,plain,
    ( ~ coll(sK22,sK27,X0)
    | coll(sK28,X0,sK22) ),
    inference(superposition,[status(thm)],[c_31938,c_51]) ).

cnf(c_32014,plain,
    coll(sK27,sK22,sK28),
    inference(superposition,[status(thm)],[c_31938,c_50]) ).

cnf(c_32021,plain,
    coll(sK27,sK28,sK22),
    inference(superposition,[status(thm)],[c_32014,c_49]) ).

cnf(c_36435,plain,
    ( ~ perp(X0,X1,sK30,sK24)
    | ~ perp(sK29,sK28,X0,X1)
    | para(sK29,sK28,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_36436,plain,
    ( ~ perp(sK29,sK28,sK20,sK20)
    | ~ perp(sK20,sK20,sK30,sK24)
    | para(sK29,sK28,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_36435]) ).

cnf(c_37874,plain,
    coll(sK24,sK26,sK26),
    inference(superposition,[status(thm)],[c_26791,c_115]) ).

cnf(c_38319,plain,
    coll(sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_37874,c_50]) ).

cnf(c_38330,plain,
    coll(sK26,sK26,sK24),
    inference(superposition,[status(thm)],[c_38319,c_49]) ).

cnf(c_38336,plain,
    coll(sK21,sK24,sK26),
    inference(superposition,[status(thm)],[c_38330,c_7549]) ).

cnf(c_38390,plain,
    coll(sK21,sK26,sK24),
    inference(superposition,[status(thm)],[c_38336,c_49]) ).

cnf(c_38404,plain,
    coll(sK26,sK21,sK24),
    inference(superposition,[status(thm)],[c_38390,c_50]) ).

cnf(c_38407,plain,
    coll(sK20,sK24,sK21),
    inference(superposition,[status(thm)],[c_38390,c_7044]) ).

cnf(c_39027,plain,
    coll(sK20,sK24,sK26),
    inference(superposition,[status(thm)],[c_38404,c_7036]) ).

cnf(c_39074,plain,
    coll(sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_38407,c_50]) ).

cnf(c_39075,plain,
    coll(sK20,sK21,sK24),
    inference(superposition,[status(thm)],[c_38407,c_49]) ).

cnf(c_39088,plain,
    coll(sK24,sK20,sK26),
    inference(superposition,[status(thm)],[c_39027,c_50]) ).

cnf(c_39434,plain,
    coll(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_39074,c_49]) ).

cnf(c_39446,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_39075,c_51]) ).

cnf(c_39455,plain,
    ( ~ coll(sK20,sK21,sK20)
    | coll(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_39446]) ).

cnf(c_39479,plain,
    coll(sK24,sK26,sK20),
    inference(superposition,[status(thm)],[c_39088,c_49]) ).

cnf(c_39811,plain,
    ( ~ coll(sK24,sK21,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_39434,c_51]) ).

cnf(c_39816,plain,
    ( ~ coll(sK24,sK21,sK20)
    | coll(sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_39811]) ).

cnf(c_39992,plain,
    ( ~ coll(sK30,X0,sK30)
    | coll(X0,sK30,sK30) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_39993,plain,
    ( ~ coll(sK30,sK20,sK30)
    | coll(sK20,sK30,sK30) ),
    inference(instantiation,[status(thm)],[c_39992]) ).

cnf(c_41559,plain,
    ( ~ para(sK27,sK30,sK27,sK30)
    | ~ midp(X0,sK27,sK27)
    | midp(X0,sK30,sK30) ),
    inference(superposition,[status(thm)],[c_26945,c_113]) ).

cnf(c_41565,plain,
    coll(sK27,sK30,sK30),
    inference(superposition,[status(thm)],[c_26945,c_115]) ).

cnf(c_41571,plain,
    ( ~ midp(X0,sK27,sK27)
    | midp(X0,sK30,sK30) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_41559,c_26945]) ).

cnf(c_41574,plain,
    ( ~ midp(sK20,sK27,sK27)
    | midp(sK20,sK30,sK30) ),
    inference(instantiation,[status(thm)],[c_41571]) ).

cnf(c_41653,plain,
    coll(sK30,sK27,sK30),
    inference(superposition,[status(thm)],[c_41565,c_50]) ).

cnf(c_41658,plain,
    ( ~ coll(sK30,sK27,X0)
    | coll(sK30,X0,sK30) ),
    inference(superposition,[status(thm)],[c_41653,c_51]) ).

cnf(c_41664,plain,
    ( ~ coll(sK30,sK27,sK20)
    | coll(sK30,sK20,sK30) ),
    inference(instantiation,[status(thm)],[c_41658]) ).

cnf(c_42824,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(sK20,sK24,X0,X1)
    | para(sK20,sK24,X2,X3) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_42825,plain,
    ( ~ perp(sK20,sK24,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_42824]) ).

cnf(c_42882,plain,
    coll(sK27,sK20,sK27),
    inference(superposition,[status(thm)],[c_28108,c_12318]) ).

cnf(c_42965,plain,
    coll(sK27,sK27,sK20),
    inference(superposition,[status(thm)],[c_42882,c_49]) ).

cnf(c_43230,plain,
    coll(sK27,sK22,sK27),
    inference(superposition,[status(thm)],[c_32021,c_12351]) ).

cnf(c_43291,plain,
    coll(sK27,sK27,sK22),
    inference(superposition,[status(thm)],[c_43230,c_49]) ).

cnf(c_44434,plain,
    coll(sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_39479,c_12685]) ).

cnf(c_44497,plain,
    coll(sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_44434,c_49]) ).

cnf(c_51843,plain,
    coll(sK30,sK20,sK27),
    inference(superposition,[status(thm)],[c_42965,c_13628]) ).

cnf(c_51847,plain,
    coll(sK30,sK22,sK27),
    inference(superposition,[status(thm)],[c_43291,c_13628]) ).

cnf(c_51904,plain,
    coll(sK20,sK30,sK27),
    inference(superposition,[status(thm)],[c_51843,c_50]) ).

cnf(c_51905,plain,
    coll(sK30,sK27,sK20),
    inference(superposition,[status(thm)],[c_51843,c_49]) ).

cnf(c_52463,plain,
    coll(sK20,sK27,sK30),
    inference(superposition,[status(thm)],[c_51904,c_49]) ).

cnf(c_52491,plain,
    coll(sK22,sK30,sK27),
    inference(superposition,[status(thm)],[c_51847,c_50]) ).

cnf(c_53426,plain,
    ( ~ coll(sK20,sK27,X0)
    | coll(sK30,X0,sK20) ),
    inference(superposition,[status(thm)],[c_52463,c_51]) ).

cnf(c_53431,plain,
    ( ~ coll(sK20,sK27,sK20)
    | coll(sK30,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_53426]) ).

cnf(c_54123,plain,
    coll(sK22,sK27,sK30),
    inference(superposition,[status(thm)],[c_52491,c_49]) ).

cnf(c_54504,plain,
    coll(sK28,sK30,sK22),
    inference(superposition,[status(thm)],[c_54123,c_32013]) ).

cnf(c_55215,plain,
    coll(sK28,sK22,sK30),
    inference(superposition,[status(thm)],[c_54504,c_49]) ).

cnf(c_55644,plain,
    coll(sK20,sK30,sK28),
    inference(superposition,[status(thm)],[c_55215,c_7035]) ).

cnf(c_56085,plain,
    coll(sK20,sK28,sK30),
    inference(superposition,[status(thm)],[c_55644,c_49]) ).

cnf(c_64390,plain,
    coll(sK20,sK30,sK20),
    inference(superposition,[status(thm)],[c_56085,c_7460]) ).

cnf(c_66044,plain,
    coll(sK20,sK20,sK30),
    inference(superposition,[status(thm)],[c_64390,c_49]) ).

cnf(c_66632,plain,
    coll(sK21,sK30,sK20),
    inference(superposition,[status(thm)],[c_66044,c_7613]) ).

cnf(c_66648,plain,
    coll(sK21,sK20,sK30),
    inference(superposition,[status(thm)],[c_66632,c_49]) ).

cnf(c_67474,plain,
    coll(sK20,sK21,sK30),
    inference(superposition,[status(thm)],[c_66648,c_50]) ).

cnf(c_71367,plain,
    ( ~ cong(sK29,X0,sK28,X0)
    | ~ cong(sK29,X1,sK28,X1)
    | perp(sK29,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_71368,plain,
    ( ~ cong(sK29,sK20,sK28,sK20)
    | perp(sK29,sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_71367]) ).

cnf(c_71369,plain,
    ( ~ cong(X0,sK30,X1,sK30)
    | ~ cong(X0,sK24,X1,sK24)
    | perp(X0,X1,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_71370,plain,
    ( ~ cong(sK20,sK30,sK20,sK30)
    | ~ cong(sK20,sK24,sK20,sK24)
    | perp(sK20,sK20,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_71369]) ).

cnf(c_72860,plain,
    ( ~ para(X0,sK30,X1,X2)
    | ~ midp(X0,X3,X1)
    | ~ coll(sK30,X3,X2)
    | midp(sK30,X3,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_72861,plain,
    ( ~ para(sK20,sK30,sK20,sK20)
    | ~ coll(sK30,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK30,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_72860]) ).

cnf(c_72909,plain,
    ( ~ para(X0,X1,X2,sK29)
    | ~ midp(X0,X3,X2)
    | ~ coll(X1,X3,sK29)
    | midp(X1,X3,sK29) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_72910,plain,
    ( ~ para(sK20,sK20,sK20,sK29)
    | ~ coll(sK20,sK20,sK29)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_72909]) ).

cnf(c_83105,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ coll(X2,sK29,sK28)
    | perp(sK16(X0,X2,X1,sK29,sK28),X0,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_83107,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK29,sK28)
    | perp(sK16(sK20,sK20,sK20,sK29,sK28),sK20,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_83105]) ).

cnf(c_83406,plain,
    ( ~ midp(X0,sK29,sK29)
    | cong(X0,sK29,X0,sK29) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_83407,plain,
    ( ~ midp(sK20,sK29,sK29)
    | cong(sK20,sK29,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_83406]) ).

cnf(c_83415,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ midp(sK29,X0,X2)
    | cong(X0,sK29,X1,sK29) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_83416,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ midp(sK29,sK20,sK20)
    | cong(sK20,sK29,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_83415]) ).

cnf(c_84474,plain,
    ( ~ midp(X0,X1,sK29)
    | midp(X0,sK29,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_84475,plain,
    ( ~ midp(sK20,sK20,sK29)
    | midp(sK20,sK29,sK20) ),
    inference(instantiation,[status(thm)],[c_84474]) ).

cnf(c_85857,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,sK29,sK28,X2,X3,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_85858,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK29,sK28,sK20,sK20,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_85857]) ).

cnf(c_99805,plain,
    ( ~ perp(sK24,X0,X1,X2)
    | ~ midp(X0,X1,X2)
    | cong(sK24,X1,sK24,X2) ),
    inference(instantiation,[status(thm)],[c_104]) ).

cnf(c_99806,plain,
    ( ~ perp(sK24,sK20,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | cong(sK24,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_99805]) ).

cnf(c_100354,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cyclic(X0,X2,sK24,X1)
    | ~ cong(X0,sK24,X2,sK24)
    | perp(sK24,X0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_106]) ).

cnf(c_100355,plain,
    ( ~ cong(sK20,sK24,sK20,sK24)
    | ~ cong(sK20,sK20,sK20,sK20)
    | ~ cyclic(sK20,sK20,sK24,sK20)
    | perp(sK24,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_100354]) ).

cnf(c_128193,plain,
    coll(sK24,sK30,sK20),
    inference(superposition,[status(thm)],[c_67474,c_39446]) ).

cnf(c_128403,plain,
    coll(sK24,sK20,sK30),
    inference(superposition,[status(thm)],[c_128193,c_49]) ).

cnf(c_128474,plain,
    coll(sK20,sK24,sK30),
    inference(superposition,[status(thm)],[c_128403,c_50]) ).

cnf(c_151721,plain,
    ( ~ cyclic(X0,sK24,sK20,sK20)
    | cyclic(X0,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_63]) ).

cnf(c_151722,plain,
    ( ~ cyclic(sK20,sK24,sK20,sK20)
    | cyclic(sK20,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_151721]) ).

cnf(c_156473,plain,
    ( ~ para(X0,sK29,X1,X2)
    | ~ midp(X0,sK20,X1)
    | ~ coll(sK29,sK20,X2)
    | midp(sK29,sK20,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_156474,plain,
    ( ~ para(sK20,sK29,sK20,sK20)
    | ~ coll(sK29,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK29,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_156473]) ).

cnf(c_161900,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK29,sK28)
    | para(X0,X1,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_161912,plain,
    ( ~ eqangle(X0,X1,sK29,sK28,X2,X3,X4,X5)
    | ~ perp(X2,X3,X4,X5)
    | perp(X0,X1,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_161935,plain,
    ( ~ eqangle(sK24,sK30,sK29,sK28,X0,X1,X2,X3)
    | eqangle(sK30,sK24,sK29,sK28,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_162259,plain,
    ( ~ perp(X0,X1,sK29,sK28)
    | perp(sK29,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_162358,plain,
    ( ~ eqangle(X0,X1,X2,X3,X0,X1,sK29,sK28)
    | eqangle(X2,X3,X0,X1,sK29,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_162683,plain,
    ( ~ eqangle(sK29,sK28,sK24,sK30,X0,X1,X2,X3)
    | eqangle(sK24,sK30,sK29,sK28,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_162690,plain,
    ( ~ eqangle(sK24,sK30,sK29,sK28,X0,X1,sK29,sK28)
    | eqangle(sK30,sK24,sK29,sK28,X0,X1,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_161935]) ).

cnf(c_162779,plain,
    ( ~ perp(X0,X1,sK16(X2,X3,X4,sK29,sK28),X2)
    | ~ perp(sK16(X2,X3,X4,sK29,sK28),X2,sK29,sK28)
    | para(X0,X1,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_161900]) ).

cnf(c_162822,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK29,sK28,X4,X5)
    | eqangle(X0,X1,sK29,sK28,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_164081,plain,
    ( ~ perp(sK16(X0,X1,X2,sK29,sK28),X0,sK29,sK28)
    | perp(sK29,sK28,sK16(X0,X1,X2,sK29,sK28),X0) ),
    inference(instantiation,[status(thm)],[c_162259]) ).

cnf(c_164082,plain,
    ( ~ perp(sK16(sK20,sK20,sK20,sK29,sK28),sK20,sK29,sK28)
    | perp(sK29,sK28,sK16(sK20,sK20,sK20,sK29,sK28),sK20) ),
    inference(instantiation,[status(thm)],[c_164081]) ).

cnf(c_164321,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(sK24,sK30,X0,X1)
    | para(sK24,sK30,X2,X3) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_164323,plain,
    ( ~ perp(sK24,sK30,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK24,sK30,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_164321]) ).

cnf(c_164627,plain,
    ( ~ midp(X0,sK30,sK30)
    | cong(X0,sK30,X0,sK30) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_164628,plain,
    ( ~ midp(sK20,sK30,sK30)
    | cong(sK20,sK30,sK20,sK30) ),
    inference(instantiation,[status(thm)],[c_164627]) ).

cnf(c_164638,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ midp(sK30,X0,X2)
    | cong(X0,sK30,X1,sK30) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_164639,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ midp(sK30,sK20,sK20)
    | cong(sK20,sK30,sK20,sK30) ),
    inference(instantiation,[status(thm)],[c_164638]) ).

cnf(c_165442,plain,
    ( ~ para(sK29,sK28,X0,X1)
    | eqangle(sK29,sK28,sK24,sK30,X0,X1,sK24,sK30) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_167058,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,sK29)
    | para(X0,X1,X4,sK29) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_167060,plain,
    ( ~ perp(sK20,sK20,sK20,sK29)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_167058]) ).

cnf(c_167166,plain,
    ( ~ eqangle(X0,X1,sK29,sK28,X0,X1,sK29,sK28)
    | eqangle(sK29,sK28,X0,X1,sK29,sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162358]) ).

cnf(c_167167,plain,
    ( ~ eqangle(sK20,sK20,sK29,sK28,sK20,sK20,sK29,sK28)
    | eqangle(sK29,sK28,sK20,sK20,sK29,sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_167166]) ).

cnf(c_168215,plain,
    ( ~ cong(sK24,X0,sK30,X0)
    | cong(sK30,X0,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_168216,plain,
    ( ~ cong(sK24,sK20,sK30,sK20)
    | cong(sK30,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_168215]) ).

cnf(c_168400,plain,
    ( ~ perp(sK16(X0,X1,X2,sK29,sK28),X0,sK29,sK28)
    | ~ perp(sK29,sK28,sK16(X0,X1,X2,sK29,sK28),X0)
    | para(sK29,sK28,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_162779]) ).

cnf(c_168401,plain,
    ( ~ perp(sK16(sK20,sK20,sK20,sK29,sK28),sK20,sK29,sK28)
    | ~ perp(sK29,sK28,sK16(sK20,sK20,sK20,sK29,sK28),sK20)
    | para(sK29,sK28,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_168400]) ).

cnf(c_173545,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(X0,sK29,X3)
    | para(X1,sK29,X2,X3) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_173546,plain,
    ( ~ midp(sK20,sK29,sK20)
    | ~ midp(sK20,sK20,sK20)
    | para(sK20,sK29,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_173545]) ).

cnf(c_174921,plain,
    ( ~ cong(sK24,X0,sK24,X1)
    | ~ coll(sK24,X0,X1)
    | midp(sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_174922,plain,
    ( ~ cong(sK24,sK20,sK24,sK20)
    | ~ coll(sK24,sK20,sK20)
    | midp(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_174921]) ).

cnf(c_177878,plain,
    ( ~ cong(X0,X0,X1,X0)
    | ~ cong(X0,sK29,X1,sK29)
    | perp(X0,X1,X0,sK29) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_177879,plain,
    ( ~ cong(sK20,sK29,sK20,sK29)
    | ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK29) ),
    inference(instantiation,[status(thm)],[c_177878]) ).

cnf(c_177940,plain,
    ( ~ eqangle(sK29,sK28,sK24,sK30,sK29,sK28,sK24,sK30)
    | eqangle(sK24,sK30,sK29,sK28,sK24,sK30,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_162683]) ).

cnf(c_177952,plain,
    ( ~ eqangle(sK29,sK28,X0,X1,sK29,sK28,X0,X1)
    | eqangle(sK29,sK28,sK29,sK28,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162822]) ).

cnf(c_177954,plain,
    ( ~ eqangle(sK29,sK28,sK20,sK20,sK29,sK28,sK20,sK20)
    | eqangle(sK29,sK28,sK29,sK28,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_177952]) ).

cnf(c_178764,plain,
    ( ~ cong(X0,X0,X1,X0)
    | ~ cong(X0,sK24,X1,sK24)
    | perp(X0,X1,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_178765,plain,
    ( ~ cong(sK20,sK24,sK20,sK24)
    | ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_178764]) ).

cnf(c_178840,plain,
    ( ~ para(X0,X1,X2,sK24)
    | ~ para(X0,sK24,X2,X1)
    | ~ midp(X3,X0,X2)
    | midp(X3,sK24,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_178841,plain,
    ( ~ para(sK20,sK24,sK20,sK20)
    | ~ para(sK20,sK20,sK20,sK24)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_178840]) ).

cnf(c_179314,plain,
    ( ~ para(sK29,sK28,sK29,sK28)
    | eqangle(sK29,sK28,sK24,sK30,sK29,sK28,sK24,sK30) ),
    inference(instantiation,[status(thm)],[c_165442]) ).

cnf(c_181456,plain,
    ( ~ eqangle(sK24,sK30,sK29,sK28,sK24,sK30,sK29,sK28)
    | eqangle(sK30,sK24,sK29,sK28,sK24,sK30,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_162690]) ).

cnf(c_184254,plain,
    ( ~ eqangle(sK29,sK28,sK29,sK28,X0,X1,X0,X1)
    | ~ perp(X0,X1,X0,X1)
    | perp(sK29,sK28,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_161912]) ).

cnf(c_184257,plain,
    ( ~ eqangle(sK29,sK28,sK29,sK28,sK20,sK20,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | perp(sK29,sK28,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_184254]) ).

cnf(c_189001,plain,
    ( ~ eqangle(sK30,sK24,X0,X1,X2,X3,X4,X5)
    | ~ perp(X2,X3,X4,X5)
    | perp(sK30,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_123]) ).

cnf(c_189185,plain,
    perp(sK20,sK21,sK29,sK27),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_189291,plain,
    ( ~ perp(sK29,sK28,X0,X1)
    | perp(sK29,sK28,X1,X0) ),
    inference(instantiation,[status(thm)],[c_55]) ).

cnf(c_189399,plain,
    ( ~ perp(sK30,sK24,X0,X1)
    | perp(X0,X1,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_189511,plain,
    ( ~ para(X0,sK24,X1,X2)
    | ~ midp(X0,X3,X1)
    | ~ coll(sK24,X3,X2)
    | midp(sK24,X3,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_189513,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X0,X3,X2,X1)
    | ~ midp(sK24,X0,X2)
    | midp(sK24,X1,X3) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_189517,plain,
    ( ~ cong(X0,sK24,X0,X1)
    | ~ coll(X0,sK24,X1)
    | midp(X0,sK24,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_189738,plain,
    ( ~ coll(sK29,sK20,X0)
    | coll(sK21,X0,sK29) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_190077,plain,
    coll(sK21,sK21,sK29),
    inference(superposition,[status(thm)],[c_165,c_189738]) ).

cnf(c_190094,plain,
    coll(sK21,sK29,sK21),
    inference(superposition,[status(thm)],[c_190077,c_49]) ).

cnf(c_190224,plain,
    ( ~ eqangle(sK30,sK24,sK29,sK28,X0,X1,X2,X3)
    | eqangle(sK30,sK24,X0,X1,sK29,sK28,X2,X3) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_192391,plain,
    ( ~ cong(sK30,X0,sK24,X0)
    | cong(sK30,X0,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_192392,plain,
    ( ~ cong(sK30,sK20,sK24,sK20)
    | cong(sK30,sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_192391]) ).

cnf(c_192451,plain,
    ( ~ perp(sK24,sK30,sK30,X0)
    | ~ midp(X1,sK24,X0)
    | cong(sK24,X1,sK30,X1) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_192934,plain,
    ( ~ perp(sK29,sK27,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_189185,c_57]) ).

cnf(c_193271,plain,
    ( ~ cong(X0,sK30,X0,X1)
    | ~ coll(X0,sK30,X1)
    | midp(X0,sK30,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_193502,plain,
    ( ~ perp(sK29,sK28,sK28,X0)
    | ~ midp(X1,sK29,X0)
    | cong(sK29,X1,sK28,X1) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_193568,plain,
    ( ~ midp(X0,sK24,sK24)
    | cong(X0,sK24,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_193569,plain,
    ( ~ midp(sK20,sK24,sK24)
    | cong(sK20,sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_193568]) ).

cnf(c_193996,plain,
    ( ~ midp(X0,X1,X1)
    | ~ midp(X0,sK24,sK30)
    | para(sK24,X1,sK30,X1) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_193997,plain,
    ( ~ midp(sK20,sK24,sK30)
    | ~ midp(sK20,sK20,sK20)
    | para(sK24,sK20,sK30,sK20) ),
    inference(instantiation,[status(thm)],[c_193996]) ).

cnf(c_194293,plain,
    ( ~ cong(X0,sK24,X1,X0)
    | cong(X0,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_71]) ).

cnf(c_194664,plain,
    ( ~ cong(X0,X1,X0,sK29)
    | ~ coll(X0,X1,sK29)
    | midp(X0,X1,sK29) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_195563,plain,
    ( ~ perp(X0,X1,X2,sK24)
    | perp(X2,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_195564,plain,
    ( ~ perp(sK20,sK20,sK20,sK24)
    | perp(sK20,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_195563]) ).

cnf(c_196819,plain,
    ( ~ eqangle(X0,sK24,X1,X2,X0,X3,X1,X2)
    | para(X0,sK24,X0,X3) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_196840,plain,
    ( ~ midp(X0,X1,X1)
    | ~ midp(X0,sK30,X2)
    | para(X1,sK30,X1,X2) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_198582,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,sK24)
    | para(X0,X1,X4,sK24) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_198584,plain,
    ( ~ perp(sK20,sK20,sK20,sK24)
    | ~ perp(sK20,sK20,sK20,sK20)
    | para(sK20,sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_198582]) ).

cnf(c_200642,plain,
    ( ~ para(X0,X1,X0,X1)
    | eqangle(X0,X1,X0,sK24,X0,X1,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_200643,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK24,sK20,sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_200642]) ).

cnf(c_201148,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_166,c_192934]) ).

cnf(c_201151,plain,
    ( ~ coll(sK21,X0,sK21)
    | ~ midp(sK20,X0,sK20)
    | midp(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_201148,c_94]) ).

cnf(c_202124,plain,
    ( ~ perp(sK29,sK28,sK29,sK28)
    | perp(sK29,sK28,sK28,sK29) ),
    inference(instantiation,[status(thm)],[c_189291]) ).

cnf(c_203273,plain,
    ( ~ midp(sK20,sK29,sK20)
    | midp(sK21,sK29,sK21) ),
    inference(superposition,[status(thm)],[c_190094,c_201151]) ).

cnf(c_205023,plain,
    ( ~ cong(sK24,X0,sK30,X0)
    | ~ cong(sK24,X1,sK30,X1)
    | perp(sK24,sK30,X0,X1) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_205024,plain,
    ( ~ cong(sK24,sK20,sK30,sK20)
    | perp(sK24,sK30,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_205023]) ).

cnf(c_205180,plain,
    ( ~ cong(sK30,X0,X0,sK24)
    | cong(X0,sK24,sK30,X0) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_205181,plain,
    ( ~ cong(sK30,sK20,sK20,sK24)
    | cong(sK20,sK24,sK30,sK20) ),
    inference(instantiation,[status(thm)],[c_205180]) ).

cnf(c_206201,plain,
    ( ~ para(sK24,X0,sK30,X0)
    | para(sK24,X0,X0,sK30) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_206202,plain,
    ( ~ para(sK24,sK20,sK30,sK20)
    | para(sK24,sK20,sK20,sK30) ),
    inference(instantiation,[status(thm)],[c_206201]) ).

cnf(c_209694,plain,
    ( ~ eqangle(sK30,sK24,sK29,sK28,sK24,sK30,sK29,sK28)
    | eqangle(sK30,sK24,sK24,sK30,sK29,sK28,sK29,sK28) ),
    inference(instantiation,[status(thm)],[c_190224]) ).

cnf(c_211118,plain,
    ( ~ perp(sK29,sK28,sK28,sK29)
    | ~ midp(X0,sK29,sK29)
    | cong(sK29,X0,sK28,X0) ),
    inference(instantiation,[status(thm)],[c_193502]) ).

cnf(c_211122,plain,
    ( ~ perp(sK29,sK28,sK28,sK29)
    | ~ midp(sK20,sK29,sK29)
    | cong(sK29,sK20,sK28,sK20) ),
    inference(instantiation,[status(thm)],[c_211118]) ).

cnf(c_214249,plain,
    ( ~ cyclic(X0,sK24,X1,X2)
    | cyclic(sK24,X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_214250,plain,
    ( ~ cyclic(sK20,sK24,sK20,sK20)
    | cyclic(sK24,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_214249]) ).

cnf(c_214350,plain,
    ( ~ eqangle(X0,X1,X0,sK24,X2,X1,X2,sK24)
    | ~ coll(X0,X2,sK24)
    | cyclic(X1,sK24,X0,X2) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_214351,plain,
    ( ~ eqangle(sK20,sK20,sK20,sK24,sK20,sK20,sK20,sK24)
    | ~ coll(sK20,sK20,sK24)
    | cyclic(sK20,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_214350]) ).

cnf(c_214769,plain,
    ( ~ cong(X0,sK30,X0,sK30)
    | ~ coll(X0,sK30,sK30)
    | midp(X0,sK30,sK30) ),
    inference(instantiation,[status(thm)],[c_193271]) ).

cnf(c_214771,plain,
    ( ~ cong(sK20,sK30,sK20,sK30)
    | ~ coll(sK20,sK30,sK30)
    | midp(sK20,sK30,sK30) ),
    inference(instantiation,[status(thm)],[c_214769]) ).

cnf(c_215048,plain,
    ( ~ cong(X0,sK29,X0,sK29)
    | ~ coll(X0,sK29,sK29)
    | midp(X0,sK29,sK29) ),
    inference(instantiation,[status(thm)],[c_194664]) ).

cnf(c_215050,plain,
    ( ~ cong(sK20,sK29,sK20,sK29)
    | ~ coll(sK20,sK29,sK29)
    | midp(sK20,sK29,sK29) ),
    inference(instantiation,[status(thm)],[c_215048]) ).

cnf(c_220891,plain,
    ( ~ eqangle(X0,sK24,X0,X1,X0,sK24,X0,X1)
    | para(X0,sK24,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_196819]) ).

cnf(c_220892,plain,
    ( ~ cyclic(sK24,X0,X1,X1)
    | eqangle(X1,sK24,X1,X0,X1,sK24,X1,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_220893,plain,
    ( ~ eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20)
    | para(sK20,sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_220891]) ).

cnf(c_220894,plain,
    ( ~ cyclic(sK24,sK20,sK20,sK20)
    | eqangle(sK20,sK24,sK20,sK20,sK20,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_220892]) ).

cnf(c_223733,plain,
    ( ~ coll(sK23,sK20,sK31)
    | perp(sK20,sK24,sK24,sK31) ),
    inference(superposition,[status(thm)],[c_174,c_102]) ).

cnf(c_223787,plain,
    ( ~ coll(sK23,sK20,sK31)
    | perp(sK20,sK24,sK31,sK24) ),
    inference(superposition,[status(thm)],[c_223733,c_55]) ).

cnf(c_225694,plain,
    ( ~ perp(sK31,sK24,X0,X1)
    | ~ coll(sK23,sK20,sK31)
    | para(sK20,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_223787,c_57]) ).

cnf(c_225696,plain,
    ( ~ coll(sK23,sK20,sK31)
    | perp(sK31,sK24,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_223787,c_56]) ).

cnf(c_228496,plain,
    ( ~ coll(sK23,sK20,sK31)
    | para(sK20,sK24,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_225696,c_225694]) ).

cnf(c_228904,plain,
    para(sK20,sK24,sK20,sK24),
    inference(global_subsumption_just,[status(thm)],[c_228496,c_164,c_7532,c_7784,c_10608,c_20882,c_39434,c_39816,c_200643,c_214250,c_214351,c_220893,c_220894]) ).

cnf(c_228906,plain,
    ( ~ para(sK20,sK24,sK20,sK24)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_228904,c_113]) ).

cnf(c_228919,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_228906,c_228904]) ).

cnf(c_228922,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_228919]) ).

cnf(c_233531,plain,
    ~ midp(sK20,sK29,sK20),
    inference(global_subsumption_just,[status(thm)],[c_203273,c_164,c_162,c_181,c_190,c_7298,c_7345,c_7349,c_7532,c_7647,c_7784,c_9184,c_10608,c_10922,c_16352,c_20882,c_28757,c_36436,c_41574,c_71368,c_71370,c_83416,c_85858,c_156474,c_164628,c_167167,c_173546,c_177954,c_184257,c_193569,c_202124,c_211122,c_215050,c_228922]) ).

cnf(c_234967,plain,
    ( ~ midp(sK24,X0,X0)
    | ~ midp(sK24,sK30,X1)
    | para(X0,sK30,X0,X1) ),
    inference(instantiation,[status(thm)],[c_196840]) ).

cnf(c_234969,plain,
    ( ~ midp(sK24,sK30,sK20)
    | ~ midp(sK24,sK20,sK20)
    | para(sK20,sK30,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_234967]) ).

cnf(c_235020,plain,
    ( ~ para(X0,sK24,X1,X2)
    | ~ midp(X0,sK24,X1)
    | ~ coll(sK24,sK24,X2)
    | midp(sK24,sK24,X2) ),
    inference(instantiation,[status(thm)],[c_189511]) ).

cnf(c_235021,plain,
    ( ~ para(sK20,sK24,sK20,sK20)
    | ~ coll(sK24,sK24,sK20)
    | ~ midp(sK20,sK24,sK20)
    | midp(sK24,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_235020]) ).

cnf(c_236573,plain,
    ( ~ para(X0,X1,X2,sK30)
    | ~ para(X0,sK30,X2,X1)
    | ~ midp(sK24,X0,X2)
    | midp(sK24,sK30,X1) ),
    inference(instantiation,[status(thm)],[c_189513]) ).

cnf(c_237270,plain,
    ( ~ eqangle(sK30,sK24,sK24,sK30,sK29,sK28,sK29,sK28)
    | ~ perp(sK29,sK28,sK29,sK28)
    | perp(sK30,sK24,sK24,sK30) ),
    inference(instantiation,[status(thm)],[c_189001]) ).

cnf(c_238587,plain,
    ( ~ cong(X0,sK24,X0,sK30)
    | ~ coll(X0,sK24,sK30)
    | midp(X0,sK24,sK30) ),
    inference(instantiation,[status(thm)],[c_189517]) ).

cnf(c_238589,plain,
    ( ~ cong(sK20,sK24,sK20,sK30)
    | ~ coll(sK20,sK24,sK30)
    | midp(sK20,sK24,sK30) ),
    inference(instantiation,[status(thm)],[c_238587]) ).

cnf(c_239718,plain,
    ( ~ perp(sK30,sK24,sK24,sK30)
    | perp(sK24,sK30,sK30,sK24) ),
    inference(instantiation,[status(thm)],[c_189399]) ).

cnf(c_244707,plain,
    ( ~ cong(X0,sK24,sK30,X0)
    | cong(X0,sK24,X0,sK30) ),
    inference(instantiation,[status(thm)],[c_194293]) ).

cnf(c_244708,plain,
    ( ~ cong(sK20,sK24,sK30,sK20)
    | cong(sK20,sK24,sK20,sK30) ),
    inference(instantiation,[status(thm)],[c_244707]) ).

cnf(c_255187,plain,
    ( ~ perp(sK24,sK30,sK30,sK24)
    | ~ midp(X0,sK24,sK24)
    | cong(sK24,X0,sK30,X0) ),
    inference(instantiation,[status(thm)],[c_192451]) ).

cnf(c_255189,plain,
    ( ~ perp(sK24,sK30,sK30,sK24)
    | ~ midp(sK20,sK24,sK24)
    | cong(sK24,sK20,sK30,sK20) ),
    inference(instantiation,[status(thm)],[c_255187]) ).

cnf(c_269276,plain,
    ( ~ para(sK24,X0,X1,sK30)
    | ~ para(sK24,sK30,X1,X0)
    | ~ midp(sK24,sK24,X1)
    | midp(sK24,sK30,X0) ),
    inference(instantiation,[status(thm)],[c_236573]) ).

cnf(c_269277,plain,
    ( ~ para(sK24,sK30,sK20,sK20)
    | ~ para(sK24,sK20,sK20,sK30)
    | ~ midp(sK24,sK24,sK20)
    | midp(sK24,sK30,sK20) ),
    inference(instantiation,[status(thm)],[c_269276]) ).

cnf(c_269278,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_269277,c_255189,c_244708,c_239718,c_238589,c_237270,c_235021,c_234969,c_233531,c_228922,c_214771,c_214351,c_209694,c_206202,c_205181,c_205024,c_200643,c_198584,c_195564,c_193997,c_193569,c_192392,c_184257,c_181456,c_179314,c_178841,c_178765,c_177954,c_177940,c_177879,c_174922,c_168401,c_168216,c_167167,c_167060,c_164639,c_164323,c_164082,c_151722,c_128474,c_100355,c_99806,c_85858,c_84475,c_83407,c_83107,c_72910,c_72861,c_53431,c_51905,c_44497,c_42825,c_41664,c_39993,c_39816,c_39455,c_39434,c_28115,c_27522,c_20882,c_17150,c_16352,c_11157,c_10608,c_9184,c_7784,c_7532,c_7486,c_7349,c_7298,c_7117,c_6950,c_190,c_181,c_164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GEO629+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Aug 29 23:52:10 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 80.49/16.21  % SZS status Started for theBenchmark.p
% 80.49/16.21  % SZS status Theorem for theBenchmark.p
% 80.49/16.21  
% 80.49/16.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 80.49/16.21  
% 80.49/16.21  ------  iProver source info
% 80.49/16.21  
% 80.49/16.21  git: date: 2023-05-31 18:12:56 +0000
% 80.49/16.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 80.49/16.21  git: non_committed_changes: false
% 80.49/16.21  git: last_make_outside_of_git: false
% 80.49/16.21  
% 80.49/16.21  ------ Parsing...
% 80.49/16.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 80.49/16.21  
% 80.49/16.21  ------ 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 
% 80.49/16.21  
% 80.49/16.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 80.49/16.21  
% 80.49/16.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 80.49/16.21  ------ Proving...
% 80.49/16.21  ------ Problem Properties 
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  clauses                                 126
% 80.49/16.21  conjectures                             14
% 80.49/16.21  EPR                                     89
% 80.49/16.21  Horn                                    116
% 80.49/16.21  unary                                   14
% 80.49/16.21  binary                                  37
% 80.49/16.21  lits                                    342
% 80.49/16.21  lits eq                                 4
% 80.49/16.21  fd_pure                                 0
% 80.49/16.21  fd_pseudo                               0
% 80.49/16.21  fd_cond                                 0
% 80.49/16.21  fd_pseudo_cond                          4
% 80.49/16.21  AC symbols                              0
% 80.49/16.21  
% 80.49/16.21  ------ Schedule dynamic 5 is on 
% 80.49/16.21  
% 80.49/16.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  ------ 
% 80.49/16.21  Current options:
% 80.49/16.21  ------ 
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  ------ Proving...
% 80.49/16.21  Proof_search_loop: time out after: 9295 full_loop iterations
% 80.49/16.21  
% 80.49/16.21  ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  ------ 
% 80.49/16.21  Current options:
% 80.49/16.21  ------ 
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  ------ Proving...
% 80.49/16.21  
% 80.49/16.21  
% 80.49/16.21  % SZS status Theorem for theBenchmark.p
% 80.49/16.21  
% 80.49/16.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.49/16.22  
% 80.49/16.22  
%------------------------------------------------------------------------------