TSTP Solution File: GEO625+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 23:12:10 EDT 2023

% Result   : Theorem 24.79s 4.21s
% Output   : CNFRefutation 24.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  446 ( 105 unt;   0 def)
%            Number of atoms       : 1048 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives : 1060 ( 458   ~; 449   |; 102   &)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   : 1126 (   0 sgn; 689   !;  30   ?)

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

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

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

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

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

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

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

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

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

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

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

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

fof(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD69) ).

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(f95,conjecture,
    ! [X0,X1,X2,X18,X19,X20,X21,X8,X9,X16] :
      ( ( circle(X16,X8,X20,X9)
        & midp(X9,X2,X18)
        & midp(X8,X18,X1)
        & midp(X21,X0,X2)
        & midp(X20,X2,X1)
        & midp(X19,X1,X0)
        & eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
        & eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
        & eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
     => eqangle(X21,X20,X20,X16,X16,X20,X20,X19) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110989) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X18,X19,X20,X21,X8,X9,X16] :
        ( ( circle(X16,X8,X20,X9)
          & midp(X9,X2,X18)
          & midp(X8,X18,X1)
          & midp(X21,X0,X2)
          & midp(X20,X2,X1)
          & midp(X19,X1,X0)
          & eqangle(X18,X2,X2,X0,X18,X2,X2,X1)
          & eqangle(X18,X1,X1,X2,X18,X1,X1,X0)
          & eqangle(X18,X0,X0,X1,X18,X0,X0,X2) )
       => eqangle(X21,X20,X20,X16,X16,X20,X20,X19) ),
    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(f104,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(rectify,[],[f22]) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( circle(X9,X7,X5,X8)
          & midp(X8,X2,X3)
          & midp(X7,X3,X1)
          & midp(X6,X0,X2)
          & midp(X5,X2,X1)
          & midp(X4,X1,X0)
          & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
          & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
          & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
       => eqangle(X6,X5,X5,X9,X9,X5,X5,X4) ),
    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(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(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(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(f218,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f118]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f271,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f70]) ).

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(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ eqangle(X6,X5,X5,X9,X9,X5,X5,X4)
      & circle(X9,X7,X5,X8)
      & midp(X8,X2,X3)
      & midp(X7,X3,X1)
      & midp(X6,X0,X2)
      & midp(X5,X2,X1)
      & midp(X4,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(ennf_transformation,[],[f167]) ).

fof(f320,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
      ( ~ eqangle(X6,X5,X5,X9,X9,X5,X5,X4)
      & circle(X9,X7,X5,X8)
      & midp(X8,X2,X3)
      & midp(X7,X3,X1)
      & midp(X6,X0,X2)
      & midp(X5,X2,X1)
      & midp(X4,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) ),
    inference(flattening,[],[f319]) ).

fof(f358,plain,
    ( ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ~ eqangle(X6,X5,X5,X9,X9,X5,X5,X4)
        & circle(X9,X7,X5,X8)
        & midp(X8,X2,X3)
        & midp(X7,X3,X1)
        & midp(X6,X0,X2)
        & midp(X5,X2,X1)
        & midp(X4,X1,X0)
        & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
        & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
        & eqangle(X3,X0,X0,X1,X3,X0,X0,X2) )
   => ( ~ eqangle(sK26,sK25,sK25,sK29,sK29,sK25,sK25,sK24)
      & circle(sK29,sK27,sK25,sK28)
      & midp(sK28,sK22,sK23)
      & midp(sK27,sK23,sK21)
      & midp(sK26,sK20,sK22)
      & midp(sK25,sK22,sK21)
      & midp(sK24,sK21,sK20)
      & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
      & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
      & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f359,plain,
    ( ~ eqangle(sK26,sK25,sK25,sK29,sK29,sK25,sK25,sK24)
    & circle(sK29,sK27,sK25,sK28)
    & midp(sK28,sK22,sK23)
    & midp(sK27,sK23,sK21)
    & midp(sK26,sK20,sK22)
    & midp(sK25,sK22,sK21)
    & midp(sK24,sK21,sK20)
    & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
    & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
    & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29])],[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(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(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(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(f398,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f218]) ).

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

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

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

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

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

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

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

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

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

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

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

fof(f429,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X1,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f271]) ).

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

fof(f474,plain,
    eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    midp(sK24,sK21,sK20),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    midp(sK25,sK22,sK21),
    inference(cnf_transformation,[],[f359]) ).

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

fof(f479,plain,
    midp(sK27,sK23,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    midp(sK28,sK22,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    ~ eqangle(sK26,sK25,sK25,sK29,sK29,sK25,sK25,sK24),
    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_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_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_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_87,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f398]) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(c_118,plain,
    ( ~ midp(X0,X1,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f429]) ).

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_162,negated_conjecture,
    ~ eqangle(sK26,sK25,sK25,sK29,sK29,sK25,sK25,sK24),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_164,negated_conjecture,
    midp(sK28,sK22,sK23),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_165,negated_conjecture,
    midp(sK27,sK23,sK21),
    inference(cnf_transformation,[],[f479]) ).

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

cnf(c_167,negated_conjecture,
    midp(sK25,sK22,sK21),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_168,negated_conjecture,
    midp(sK24,sK21,sK20),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_169,negated_conjecture,
    eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_170,negated_conjecture,
    eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20),
    inference(cnf_transformation,[],[f474]) ).

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

cnf(c_177,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | midp(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_181,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_186,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | perp(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_235,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
    | ~ cyclic(sK21,sK21,sK21,sK21)
    | cong(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_6124,plain,
    midp(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_166,c_59]) ).

cnf(c_6125,plain,
    midp(sK25,sK21,sK22),
    inference(superposition,[status(thm)],[c_167,c_59]) ).

cnf(c_6126,plain,
    midp(sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_168,c_59]) ).

cnf(c_6132,plain,
    coll(sK27,sK23,sK21),
    inference(superposition,[status(thm)],[c_165,c_118]) ).

cnf(c_6134,plain,
    coll(sK25,sK22,sK21),
    inference(superposition,[status(thm)],[c_167,c_118]) ).

cnf(c_6135,plain,
    coll(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_168,c_118]) ).

cnf(c_6144,plain,
    coll(sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_6126,c_118]) ).

cnf(c_6152,plain,
    coll(sK22,sK25,sK21),
    inference(superposition,[status(thm)],[c_6134,c_50]) ).

cnf(c_6154,plain,
    coll(sK21,sK24,sK20),
    inference(superposition,[status(thm)],[c_6135,c_50]) ).

cnf(c_6207,plain,
    coll(sK20,sK24,sK21),
    inference(superposition,[status(thm)],[c_6144,c_50]) ).

cnf(c_6216,plain,
    coll(sK22,sK21,sK25),
    inference(superposition,[status(thm)],[c_6152,c_49]) ).

cnf(c_6218,plain,
    coll(sK21,sK20,sK24),
    inference(superposition,[status(thm)],[c_6154,c_49]) ).

cnf(c_6446,plain,
    ( ~ coll(sK27,sK23,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6132,c_51]) ).

cnf(c_6448,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6134,c_51]) ).

cnf(c_6458,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6152,c_51]) ).

cnf(c_6465,plain,
    ( ~ coll(sK20,sK24,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6207,c_51]) ).

cnf(c_6469,plain,
    ( ~ coll(sK22,sK21,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6216,c_51]) ).

cnf(c_6470,plain,
    ( ~ coll(sK21,sK20,X0)
    | coll(sK24,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6218,c_51]) ).

cnf(c_6561,plain,
    ( ~ coll(sK20,sK24,sK21)
    | coll(sK21,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_6465]) ).

cnf(c_6567,plain,
    ( ~ coll(sK22,sK25,sK21)
    | coll(sK21,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_6458]) ).

cnf(c_6619,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_6132,c_6446]) ).

cnf(c_6622,plain,
    coll(sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_6619,c_49]) ).

cnf(c_6691,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6622,c_51]) ).

cnf(c_6696,plain,
    ( ~ coll(sK21,sK27,sK21)
    | coll(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6691]) ).

cnf(c_6804,plain,
    ( ~ midp(X0,sK22,X1)
    | ~ midp(sK25,sK22,sK21)
    | para(sK25,X0,sK21,X1) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_6823,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK28,X0,sK23,X1) ),
    inference(superposition,[status(thm)],[c_164,c_93]) ).

cnf(c_6825,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK26,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_166,c_93]) ).

cnf(c_6826,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK25,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_167,c_93]) ).

cnf(c_6827,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK24,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_168,c_93]) ).

cnf(c_6832,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK24,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_6126,c_93]) ).

cnf(c_6866,plain,
    ( ~ midp(sK21,sK20,sK21)
    | para(sK24,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6832]) ).

cnf(c_6978,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK21,X1,sK25,X0) ),
    inference(superposition,[status(thm)],[c_6826,c_53]) ).

cnf(c_6989,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK20,X1,sK24,X0) ),
    inference(superposition,[status(thm)],[c_6827,c_53]) ).

cnf(c_7075,plain,
    ( ~ midp(sK28,X0,X1)
    | para(sK22,X0,sK23,X1) ),
    inference(superposition,[status(thm)],[c_164,c_112]) ).

cnf(c_7076,plain,
    ( ~ midp(sK27,X0,X1)
    | para(sK23,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_165,c_112]) ).

cnf(c_7078,plain,
    ( ~ midp(sK25,X0,X1)
    | para(sK22,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_167,c_112]) ).

cnf(c_7082,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK22,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_6124,c_112]) ).

cnf(c_7135,plain,
    ( ~ para(sK22,X0,sK21,X1)
    | ~ para(sK22,X1,sK21,X0)
    | ~ midp(sK25,sK22,sK21)
    | midp(sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_7136,plain,
    ( ~ para(sK22,sK21,sK21,sK21)
    | ~ midp(sK25,sK22,sK21)
    | midp(sK25,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_7135]) ).

cnf(c_7422,plain,
    ( ~ para(sK23,X0,X1,X2)
    | ~ midp(X3,sK22,X0)
    | para(sK28,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6823,c_54]) ).

cnf(c_7424,plain,
    ( ~ para(sK22,X0,X1,X2)
    | ~ midp(X3,sK20,X0)
    | para(sK26,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6825,c_54]) ).

cnf(c_7432,plain,
    ( ~ para(sK23,X0,X1,X2)
    | ~ midp(sK28,X3,X0)
    | para(sK22,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_7075,c_54]) ).

cnf(c_7595,plain,
    ( ~ perp(sK21,X0,X1,X2)
    | ~ midp(X3,sK20,X0)
    | perp(sK24,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6832,c_58]) ).

cnf(c_7656,plain,
    ( ~ perp(sK21,sK21,sK21,sK21)
    | ~ midp(sK21,sK20,sK21)
    | perp(sK24,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_7595]) ).

cnf(c_7841,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK21,X1,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6978,c_52]) ).

cnf(c_7850,plain,
    ( ~ midp(sK21,sK22,sK21)
    | para(sK21,sK21,sK21,sK25) ),
    inference(instantiation,[status(thm)],[c_7841]) ).

cnf(c_7904,plain,
    ( ~ perp(sK24,X0,X1,X2)
    | ~ midp(X0,sK21,X3)
    | perp(sK20,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6989,c_58]) ).

cnf(c_7905,plain,
    ( ~ para(sK24,X0,X1,X2)
    | ~ midp(X0,sK21,X3)
    | para(sK20,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6989,c_54]) ).

cnf(c_7917,plain,
    ( ~ para(sK24,sK21,sK21,sK21)
    | ~ midp(sK21,sK21,sK21)
    | para(sK20,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_7905]) ).

cnf(c_7918,plain,
    ( ~ perp(sK24,sK21,sK21,sK21)
    | ~ midp(sK21,sK21,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_7904]) ).

cnf(c_8047,plain,
    ( ~ para(sK22,X0,sK20,X1)
    | ~ para(sK22,X1,sK20,X0)
    | ~ midp(sK26,sK22,sK20)
    | midp(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_8048,plain,
    ( ~ para(sK22,sK21,sK20,sK21)
    | ~ midp(sK26,sK22,sK20)
    | midp(sK26,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_8047]) ).

cnf(c_8132,plain,
    ( ~ para(sK20,X0,X1,X2)
    | ~ midp(sK26,X3,X0)
    | para(sK22,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_7082,c_54]) ).

cnf(c_8146,plain,
    ( ~ para(sK20,sK21,sK21,sK21)
    | ~ midp(sK26,sK21,sK21)
    | para(sK22,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_8132]) ).

cnf(c_8185,plain,
    ( ~ perp(sK21,X0,X0,sK22)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK21,sK25,X0,sK25) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_8186,plain,
    ( ~ perp(sK21,sK21,sK21,sK22)
    | ~ midp(sK25,sK21,sK22)
    | cong(sK21,sK25,sK21,sK25) ),
    inference(instantiation,[status(thm)],[c_8185]) ).

cnf(c_8301,plain,
    eqangle(sK22,sK23,sK22,sK20,sK23,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_169,c_66]) ).

cnf(c_8303,plain,
    eqangle(sK20,sK23,sK20,sK21,sK23,sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_171,c_66]) ).

cnf(c_8347,plain,
    eqangle(sK22,sK20,sK23,sK22,sK22,sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_169,c_67]) ).

cnf(c_8348,plain,
    eqangle(sK21,sK22,sK23,sK21,sK21,sK20,sK23,sK21),
    inference(superposition,[status(thm)],[c_170,c_67]) ).

cnf(c_8349,plain,
    eqangle(sK20,sK21,sK23,sK20,sK20,sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_171,c_67]) ).

cnf(c_8383,plain,
    eqangle(sK20,sK22,sK23,sK22,sK22,sK21,sK23,sK22),
    inference(superposition,[status(thm)],[c_8347,c_66]) ).

cnf(c_8384,plain,
    para(sK22,sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_8347,c_87]) ).

cnf(c_8386,plain,
    eqangle(sK22,sK21,sK23,sK21,sK21,sK20,sK23,sK21),
    inference(superposition,[status(thm)],[c_8348,c_66]) ).

cnf(c_8387,plain,
    para(sK21,sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_8348,c_87]) ).

cnf(c_8389,plain,
    eqangle(sK21,sK20,sK23,sK20,sK20,sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_8349,c_66]) ).

cnf(c_8390,plain,
    para(sK20,sK21,sK20,sK22),
    inference(superposition,[status(thm)],[c_8349,c_87]) ).

cnf(c_8416,plain,
    para(sK22,sK21,sK22,sK20),
    inference(superposition,[status(thm)],[c_8384,c_53]) ).

cnf(c_8418,plain,
    coll(sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_8384,c_115]) ).

cnf(c_8446,plain,
    para(sK21,sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_8387,c_53]) ).

cnf(c_8447,plain,
    para(sK21,sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_8387,c_52]) ).

cnf(c_8466,plain,
    eqangle(sK23,sK21,sK21,sK20,sK23,sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_170,c_68]) ).

cnf(c_8467,plain,
    eqangle(sK23,sK20,sK20,sK22,sK23,sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_171,c_68]) ).

cnf(c_8522,plain,
    eqangle(sK22,sK23,sK23,sK22,sK22,sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_8301,c_69]) ).

cnf(c_8524,plain,
    eqangle(sK20,sK23,sK23,sK20,sK20,sK21,sK20,sK22),
    inference(superposition,[status(thm)],[c_8303,c_69]) ).

cnf(c_8582,plain,
    coll(sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_8418,c_49]) ).

cnf(c_8604,plain,
    eqangle(sK23,sK21,sK23,sK21,sK21,sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_8466,c_69]) ).

cnf(c_8608,plain,
    eqangle(sK23,sK20,sK23,sK20,sK20,sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_8467,c_69]) ).

cnf(c_8645,plain,
    para(sK20,sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_8390,c_53]) ).

cnf(c_8646,plain,
    para(sK20,sK21,sK22,sK20),
    inference(superposition,[status(thm)],[c_8390,c_52]) ).

cnf(c_8647,plain,
    coll(sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_8390,c_115]) ).

cnf(c_8774,plain,
    para(sK20,sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_8383,c_87]) ).

cnf(c_8803,plain,
    para(sK22,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_8386,c_87]) ).

cnf(c_8808,plain,
    para(sK21,sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_8389,c_87]) ).

cnf(c_9005,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_9018,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | cyclic(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_9005]) ).

cnf(c_9065,plain,
    ( ~ coll(sK22,X0,sK20)
    | ~ midp(sK21,X0,sK21)
    | midp(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_8387,c_94]) ).

cnf(c_9205,plain,
    ( ~ coll(sK22,sK21,sK20)
    | ~ midp(sK21,sK21,sK21)
    | midp(sK22,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_9065]) ).

cnf(c_9343,plain,
    para(sK22,sK21,sK20,sK22),
    inference(superposition,[status(thm)],[c_8416,c_52]) ).

cnf(c_9611,plain,
    ( ~ coll(sK20,X0,sK22)
    | ~ midp(sK21,X0,sK21)
    | midp(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_8446,c_94]) ).

cnf(c_9626,plain,
    ( ~ coll(sK20,sK21,sK22)
    | ~ midp(sK21,sK21,sK21)
    | midp(sK20,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_9611]) ).

cnf(c_9639,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | perp(sK21,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_8447,c_58]) ).

cnf(c_9651,plain,
    ( ~ perp(sK20,sK21,sK21,sK21)
    | perp(sK21,sK22,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_9639]) ).

cnf(c_9709,plain,
    ( ~ coll(sK21,X0,sK20)
    | ~ midp(sK20,X0,sK22)
    | midp(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_8646,c_94]) ).

cnf(c_9723,plain,
    ( ~ coll(sK21,sK21,sK20)
    | ~ midp(sK20,sK21,sK22)
    | midp(sK21,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_9709]) ).

cnf(c_10105,plain,
    para(sK20,sK22,sK21,sK22),
    inference(superposition,[status(thm)],[c_8774,c_52]) ).

cnf(c_10122,plain,
    para(sK22,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_8803,c_52]) ).

cnf(c_10140,plain,
    para(sK21,sK20,sK22,sK20),
    inference(superposition,[status(thm)],[c_8808,c_52]) ).

cnf(c_10154,plain,
    ( ~ coll(sK21,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_9343,c_94]) ).

cnf(c_10168,plain,
    ( ~ coll(sK21,sK21,sK22)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK21,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_10154]) ).

cnf(c_10398,plain,
    ( ~ midp(X0,sK22,X1)
    | ~ midp(sK27,X1,X2)
    | para(sK28,X0,sK21,X2) ),
    inference(superposition,[status(thm)],[c_7076,c_7422]) ).

cnf(c_10696,plain,
    ( ~ midp(sK27,sK23,X0)
    | para(sK28,sK28,sK21,X0) ),
    inference(superposition,[status(thm)],[c_164,c_10398]) ).

cnf(c_10729,plain,
    ( ~ midp(sK27,sK23,sK21)
    | para(sK28,sK28,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_10696]) ).

cnf(c_10741,plain,
    ( ~ midp(sK27,sK23,X0)
    | para(sK21,X0,sK28,sK28) ),
    inference(superposition,[status(thm)],[c_10696,c_53]) ).

cnf(c_10828,plain,
    ( ~ para(sK28,sK28,X0,X1)
    | ~ midp(sK27,sK23,X2)
    | para(sK21,X2,X0,X1) ),
    inference(superposition,[status(thm)],[c_10741,c_54]) ).

cnf(c_10841,plain,
    ( ~ para(sK28,sK28,sK21,sK21)
    | ~ midp(sK27,sK23,sK21)
    | para(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_10828]) ).

cnf(c_11028,plain,
    ( ~ para(sK21,sK22,sK21,sK20)
    | ~ midp(X0,sK21,sK21)
    | midp(X0,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_8446,c_113]) ).

cnf(c_11030,plain,
    ( ~ para(sK20,sK21,sK20,sK22)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_8645,c_113]) ).

cnf(c_11066,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11030,c_8390]) ).

cnf(c_11072,plain,
    ( ~ midp(X0,sK21,sK21)
    | midp(X0,sK20,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11028,c_8387]) ).

cnf(c_11399,plain,
    ( ~ midp(X0,X1,sK22)
    | midp(X0,sK22,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_11400,plain,
    ( ~ midp(sK21,sK21,sK22)
    | midp(sK21,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_11399]) ).

cnf(c_11403,plain,
    ( ~ midp(X0,X1,sK20)
    | midp(X0,sK20,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_11404,plain,
    ( ~ midp(sK21,sK21,sK20)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_11403]) ).

cnf(c_11502,plain,
    ( ~ para(sK22,sK20,sK22,sK21)
    | para(sK22,sK23,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_8522,c_122]) ).

cnf(c_11504,plain,
    ( ~ para(sK20,sK21,sK20,sK22)
    | para(sK20,sK23,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_8524,c_122]) ).

cnf(c_11511,plain,
    ( ~ para(sK21,sK20,sK21,sK22)
    | para(sK23,sK21,sK23,sK21) ),
    inference(superposition,[status(thm)],[c_8604,c_122]) ).

cnf(c_11513,plain,
    ( ~ para(sK20,sK22,sK20,sK21)
    | para(sK23,sK20,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_8608,c_122]) ).

cnf(c_11518,plain,
    para(sK23,sK20,sK23,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_11513,c_8645]) ).

cnf(c_11521,plain,
    para(sK23,sK21,sK23,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_11511,c_8446]) ).

cnf(c_11525,plain,
    para(sK20,sK23,sK23,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_11504,c_8390]) ).

cnf(c_11527,plain,
    para(sK22,sK23,sK23,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_11502,c_8384]) ).

cnf(c_12009,plain,
    ( ~ para(sK20,sK22,sK21,sK22)
    | ~ midp(X0,sK20,sK21)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_10105,c_113]) ).

cnf(c_12022,plain,
    ( ~ midp(X0,sK20,sK21)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12009,c_10105]) ).

cnf(c_12074,plain,
    ( ~ para(sK21,sK20,sK22,sK20)
    | ~ midp(X0,sK21,sK22)
    | midp(X0,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_10140,c_113]) ).

cnf(c_12087,plain,
    ( ~ midp(X0,sK21,sK22)
    | midp(X0,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12074,c_10140]) ).

cnf(c_12443,plain,
    ( ~ para(sK23,sK20,sK23,sK20)
    | ~ midp(X0,sK23,sK23)
    | midp(X0,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_11518,c_113]) ).

cnf(c_12456,plain,
    ( ~ midp(X0,sK23,sK23)
    | midp(X0,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12443,c_11518]) ).

cnf(c_12862,plain,
    ( ~ para(sK23,sK21,sK23,sK21)
    | ~ midp(X0,sK23,sK23)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_11521,c_113]) ).

cnf(c_12875,plain,
    ( ~ midp(X0,sK23,sK23)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12862,c_11521]) ).

cnf(c_13269,plain,
    para(sK20,sK23,sK20,sK23),
    inference(superposition,[status(thm)],[c_11525,c_52]) ).

cnf(c_13426,plain,
    ( ~ eqangle(sK25,sK29,sK26,sK25,sK25,sK24,sK29,sK25)
    | eqangle(sK26,sK25,sK25,sK29,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_13468,plain,
    para(sK22,sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_11527,c_52]) ).

cnf(c_14249,plain,
    ( ~ para(sK20,sK23,sK20,sK23)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK23,sK23) ),
    inference(superposition,[status(thm)],[c_13269,c_113]) ).

cnf(c_14259,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK23,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_14249,c_13269]) ).

cnf(c_14287,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(sK25,X1,X2)
    | para(sK26,X0,sK21,X2) ),
    inference(superposition,[status(thm)],[c_7078,c_7424]) ).

cnf(c_14673,plain,
    ( ~ midp(sK25,sK21,X0)
    | para(sK26,sK24,sK21,X0) ),
    inference(superposition,[status(thm)],[c_6126,c_14287]) ).

cnf(c_14700,plain,
    ( ~ midp(sK25,sK21,sK21)
    | para(sK26,sK24,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_14673]) ).

cnf(c_15608,plain,
    midp(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_6126,c_12022]) ).

cnf(c_16197,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK25,sK24,sK29,sK25)
    | ~ eqangle(sK25,sK29,sK26,sK25,X0,X1,X2,X3)
    | eqangle(sK25,sK29,sK26,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_17162,plain,
    midp(sK25,sK20,sK20),
    inference(superposition,[status(thm)],[c_6125,c_12087]) ).

cnf(c_18235,plain,
    ( ~ para(sK22,sK23,sK22,sK23)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK23,sK23) ),
    inference(superposition,[status(thm)],[c_13468,c_113]) ).

cnf(c_18248,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK23,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18235,c_13468]) ).

cnf(c_18461,plain,
    ( ~ midp(sK27,X0,X1)
    | ~ midp(sK28,X2,X0)
    | para(sK22,X2,sK21,X1) ),
    inference(superposition,[status(thm)],[c_7076,c_7432]) ).

cnf(c_18577,plain,
    ( ~ midp(sK28,X0,sK23)
    | para(sK22,X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_165,c_18461]) ).

cnf(c_18592,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(sK28,X1,sK23)
    | para(sK26,X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_18577,c_7424]) ).

cnf(c_18700,plain,
    ( ~ midp(sK28,sK21,sK23)
    | para(sK26,sK24,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_6126,c_18592]) ).

cnf(c_18927,plain,
    para(sK26,sK24,sK21,sK21),
    inference(global_subsumption_just,[status(thm)],[c_18700,c_167,c_165,c_177,c_181,c_235,c_6124,c_6207,c_6561,c_6622,c_6696,c_6866,c_7136,c_7917,c_8048,c_8146,c_8647,c_9018,c_9626,c_9723,c_10122,c_10729,c_10841,c_11404,c_14700]) ).

cnf(c_18933,plain,
    para(sK21,sK21,sK26,sK24),
    inference(superposition,[status(thm)],[c_18927,c_53]) ).

cnf(c_19154,plain,
    para(sK21,sK21,sK24,sK26),
    inference(superposition,[status(thm)],[c_18933,c_52]) ).

cnf(c_21068,plain,
    ( ~ perp(X0,sK22,sK21,X0)
    | perp(sK21,X0,X0,sK22) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_21069,plain,
    ( ~ perp(sK21,sK22,sK21,sK21)
    | perp(sK21,sK21,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_21068]) ).

cnf(c_21778,plain,
    coll(sK25,sK25,sK22),
    inference(superposition,[status(thm)],[c_6216,c_6469]) ).

cnf(c_21780,plain,
    coll(sK25,sK20,sK22),
    inference(superposition,[status(thm)],[c_8582,c_6469]) ).

cnf(c_21841,plain,
    coll(sK25,sK22,sK25),
    inference(superposition,[status(thm)],[c_21778,c_49]) ).

cnf(c_21851,plain,
    coll(sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_21780,c_49]) ).

cnf(c_22418,plain,
    coll(sK21,sK25,sK25),
    inference(superposition,[status(thm)],[c_21841,c_6448]) ).

cnf(c_22444,plain,
    coll(sK21,sK20,sK25),
    inference(superposition,[status(thm)],[c_21851,c_6448]) ).

cnf(c_22918,plain,
    coll(sK25,sK21,sK25),
    inference(superposition,[status(thm)],[c_22418,c_50]) ).

cnf(c_23378,plain,
    midp(sK25,sK23,sK23),
    inference(superposition,[status(thm)],[c_17162,c_14259]) ).

cnf(c_23421,plain,
    coll(sK24,sK25,sK21),
    inference(superposition,[status(thm)],[c_22444,c_6470]) ).

cnf(c_24323,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_22918,c_49]) ).

cnf(c_24374,plain,
    midp(sK25,sK21,sK21),
    inference(superposition,[status(thm)],[c_23378,c_12875]) ).

cnf(c_24911,plain,
    coll(sK25,sK24,sK21),
    inference(superposition,[status(thm)],[c_23421,c_50]) ).

cnf(c_25848,plain,
    midp(sK25,sK20,sK22),
    inference(superposition,[status(thm)],[c_24374,c_11072]) ).

cnf(c_26315,plain,
    coll(sK25,sK21,sK24),
    inference(superposition,[status(thm)],[c_24911,c_49]) ).

cnf(c_27416,plain,
    ( ~ midp(sK28,sK22,sK23)
    | para(sK26,sK25,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_25848,c_18592]) ).

cnf(c_27427,plain,
    para(sK26,sK25,sK21,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_27416,c_164]) ).

cnf(c_27451,plain,
    ( ~ coll(sK25,X0,sK21)
    | ~ midp(sK26,X0,sK21)
    | midp(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_27427,c_94]) ).

cnf(c_27453,plain,
    ( ~ para(sK21,sK21,X0,X1)
    | para(sK26,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_27427,c_54]) ).

cnf(c_27454,plain,
    para(sK21,sK21,sK26,sK25),
    inference(superposition,[status(thm)],[c_27427,c_53]) ).

cnf(c_28457,plain,
    midp(sK24,sK23,sK23),
    inference(superposition,[status(thm)],[c_15608,c_18248]) ).

cnf(c_28523,plain,
    coll(sK21,sK25,sK24),
    inference(superposition,[status(thm)],[c_26315,c_50]) ).

cnf(c_29341,plain,
    para(sK26,sK25,sK24,sK26),
    inference(superposition,[status(thm)],[c_19154,c_27453]) ).

cnf(c_29348,plain,
    para(sK26,sK25,sK26,sK25),
    inference(superposition,[status(thm)],[c_27454,c_27453]) ).

cnf(c_29925,plain,
    midp(sK24,sK20,sK20),
    inference(superposition,[status(thm)],[c_28457,c_12456]) ).

cnf(c_31209,plain,
    ( ~ midp(sK26,sK25,sK21)
    | midp(sK25,sK25,sK21) ),
    inference(superposition,[status(thm)],[c_24323,c_27451]) ).

cnf(c_31316,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK29,sK25)
    | para(X0,X1,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_31320,plain,
    ( ~ perp(sK21,sK21,sK29,sK25)
    | ~ perp(sK21,sK21,sK21,sK21)
    | para(sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_31316]) ).

cnf(c_31396,plain,
    midp(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_29925,c_11066]) ).

cnf(c_35800,plain,
    ( ~ midp(sK24,sK22,X0)
    | ~ midp(sK25,sK22,sK21)
    | para(sK25,sK24,sK21,X0) ),
    inference(instantiation,[status(thm)],[c_6804]) ).

cnf(c_35802,plain,
    ( ~ midp(sK25,sK22,sK21)
    | ~ midp(sK24,sK22,sK21)
    | para(sK25,sK24,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_35800]) ).

cnf(c_36672,plain,
    para(sK24,sK26,sK26,sK25),
    inference(superposition,[status(thm)],[c_29341,c_53]) ).

cnf(c_36708,plain,
    ( ~ para(sK26,sK25,sK26,sK25)
    | ~ midp(X0,sK26,sK26)
    | midp(X0,sK25,sK25) ),
    inference(superposition,[status(thm)],[c_29348,c_113]) ).

cnf(c_36719,plain,
    ( ~ midp(X0,sK26,sK26)
    | midp(X0,sK25,sK25) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_36708,c_29348]) ).

cnf(c_36722,plain,
    ( ~ midp(sK21,sK26,sK26)
    | midp(sK21,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_36719]) ).

cnf(c_37913,plain,
    ( ~ para(X0,X1,X2,sK25)
    | para(X2,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_37914,plain,
    ( ~ para(sK21,sK21,sK21,sK25)
    | para(sK21,sK25,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_37913]) ).

cnf(c_40843,plain,
    para(sK24,sK26,sK25,sK26),
    inference(superposition,[status(thm)],[c_36672,c_52]) ).

cnf(c_45561,plain,
    ( ~ para(X0,X1,X2,sK25)
    | ~ para(X0,sK25,X2,X1)
    | ~ midp(sK26,X0,X2)
    | midp(sK26,sK25,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_45562,plain,
    ( ~ para(sK21,sK25,sK21,sK21)
    | ~ para(sK21,sK21,sK21,sK25)
    | ~ midp(sK26,sK21,sK21)
    | midp(sK26,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_45561]) ).

cnf(c_45812,plain,
    para(sK25,sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_40843,c_53]) ).

cnf(c_49633,plain,
    ( ~ para(sK25,sK26,sK24,sK26)
    | ~ midp(X0,sK25,sK24)
    | midp(X0,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_45812,c_113]) ).

cnf(c_49646,plain,
    ( ~ midp(X0,sK25,sK24)
    | midp(X0,sK26,sK26) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_49633,c_45812]) ).

cnf(c_49649,plain,
    ( ~ midp(sK21,sK25,sK24)
    | midp(sK21,sK26,sK26) ),
    inference(instantiation,[status(thm)],[c_49646]) ).

cnf(c_49709,plain,
    midp(sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_168,c_59]) ).

cnf(c_49717,plain,
    coll(sK25,sK22,sK21),
    inference(superposition,[status(thm)],[c_167,c_118]) ).

cnf(c_50085,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_49717,c_51]) ).

cnf(c_50304,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_49717,c_50085]) ).

cnf(c_50315,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_50304,c_49]) ).

cnf(c_50354,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK25,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_167,c_93]) ).

cnf(c_50360,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK24,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_49709,c_93]) ).

cnf(c_50953,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK21,X1,sK24,X0) ),
    inference(superposition,[status(thm)],[c_50360,c_53]) ).

cnf(c_51869,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK21,X1,X0,sK24) ),
    inference(superposition,[status(thm)],[c_50953,c_52]) ).

cnf(c_51878,plain,
    ( ~ midp(sK21,sK20,sK21)
    | para(sK21,sK21,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_51869]) ).

cnf(c_52234,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK22,X2)
    | ~ midp(sK25,X1,sK21)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_50354,c_94]) ).

cnf(c_57525,plain,
    ( ~ eqangle(X0,X1,sK29,sK25,sK25,sK24,sK29,sK25)
    | ~ eqangle(sK25,sK29,sK26,sK25,X0,X1,sK29,sK25)
    | eqangle(sK25,sK29,sK26,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_16197]) ).

cnf(c_57526,plain,
    ( ~ para(X0,X1,sK25,sK24)
    | eqangle(X0,X1,sK29,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_57527,plain,
    ( ~ eqangle(sK25,sK29,sK26,sK25,sK21,sK21,sK29,sK25)
    | ~ eqangle(sK21,sK21,sK29,sK25,sK25,sK24,sK29,sK25)
    | eqangle(sK25,sK29,sK26,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_57525]) ).

cnf(c_57528,plain,
    ( ~ para(sK21,sK21,sK25,sK24)
    | eqangle(sK21,sK21,sK29,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_57526]) ).

cnf(c_85696,plain,
    ( ~ midp(sK25,sK25,sK21)
    | ~ midp(sK21,sK22,sK21)
    | midp(sK21,sK25,sK21) ),
    inference(superposition,[status(thm)],[c_50315,c_52234]) ).

cnf(c_90723,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK29,sK25,sK25,sK24)
    | eqangle(X1,X0,X2,X3,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_90724,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK25,sK24,sK29,sK25)
    | eqangle(X2,X3,X0,X1,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_90860,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,X0,X1,X2,X3)
    | eqangle(X0,X1,X2,X3,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_90910,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,X0,X1,X2,X3)
    | eqangle(sK29,sK25,sK25,sK24,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_91133,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK25,sK29,X2,X3)
    | para(X0,X1,sK25,sK29) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_91339,plain,
    ( ~ para(sK25,sK24,X0,X1)
    | para(X0,X1,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_91340,plain,
    ( ~ para(sK25,sK24,sK21,sK21)
    | para(sK21,sK21,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_91339]) ).

cnf(c_91342,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ para(X2,X3,sK25,sK24)
    | para(X0,X1,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_91431,plain,
    ( ~ para(X0,X1,sK29,sK25)
    | eqangle(X0,X1,X2,X3,sK29,sK25,X2,X3) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_91432,plain,
    ( ~ para(sK21,sK21,sK29,sK25)
    | eqangle(sK21,sK21,sK21,sK21,sK29,sK25,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_91431]) ).

cnf(c_91526,plain,
    ( ~ para(X0,X1,X2,sK29)
    | ~ para(X0,sK29,X2,X1)
    | ~ midp(X3,X0,X2)
    | midp(X3,X1,sK29) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_91686,plain,
    ( ~ para(X0,X1,sK26,sK25)
    | eqangle(X0,X1,sK29,sK25,sK26,sK25,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_91713,plain,
    ( ~ para(X0,X1,sK25,sK24)
    | eqangle(X0,X1,sK25,sK29,sK25,sK24,sK25,sK29) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_91739,plain,
    ( ~ eqangle(X0,X1,sK29,sK25,X2,X3,X4,X5)
    | ~ eqangle(X2,X3,X4,X5,sK29,sK25,X0,X1)
    | eqangle(X0,X1,sK29,sK25,sK29,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_91740,plain,
    ( ~ eqangle(sK21,sK21,sK29,sK25,sK21,sK21,sK21,sK21)
    | ~ eqangle(sK21,sK21,sK21,sK21,sK29,sK25,sK21,sK21)
    | eqangle(sK21,sK21,sK29,sK25,sK29,sK25,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_91739]) ).

cnf(c_91752,plain,
    ( ~ cong(X0,sK25,X1,sK25)
    | ~ cong(X0,sK29,X1,sK29)
    | perp(X0,X1,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_91753,plain,
    ( ~ cong(sK21,sK25,sK21,sK25)
    | ~ cong(sK21,sK29,sK21,sK29)
    | perp(sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_91752]) ).

cnf(c_91863,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,X0,X1,sK29,sK25)
    | eqangle(X0,X1,sK29,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_90860]) ).

cnf(c_91864,plain,
    ( ~ para(sK25,sK24,X0,X1)
    | eqangle(sK25,sK24,sK29,sK25,X0,X1,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_91866,plain,
    ( ~ para(sK25,sK24,sK21,sK21)
    | eqangle(sK25,sK24,sK29,sK25,sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_91864]) ).

cnf(c_91876,plain,
    ( ~ eqangle(X0,X1,sK25,sK24,X2,X3,X4,X5)
    | ~ eqangle(X2,X3,X4,X5,X6,X7,sK29,sK25)
    | eqangle(X0,X1,sK25,sK24,X6,X7,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_91979,plain,
    ( ~ eqangle(sK25,sK24,sK25,sK29,X0,X1,X2,X3)
    | eqangle(sK25,sK29,sK25,sK24,X2,X3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_92173,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK29,sK25,X4,X5)
    | eqangle(X0,X1,sK29,sK25,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_92174,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK21,sK29,sK25,sK21,sK21)
    | eqangle(sK21,sK21,sK29,sK25,sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_92173]) ).

cnf(c_93002,plain,
    ( ~ para(X0,X1,X2,sK24)
    | ~ midp(X0,sK25,X2)
    | ~ coll(X1,sK25,sK24)
    | midp(X1,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_93003,plain,
    ( ~ para(sK21,sK21,sK21,sK24)
    | ~ coll(sK21,sK25,sK24)
    | ~ midp(sK21,sK25,sK21)
    | midp(sK21,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_93002]) ).

cnf(c_93573,plain,
    ( ~ eqangle(X0,X1,sK29,sK25,sK25,sK24,sK29,sK25)
    | eqangle(sK29,sK25,X0,X1,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_90724]) ).

cnf(c_93597,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,sK29,sK25)
    | ~ eqangle(sK25,sK29,sK26,sK25,X0,X1,X2,X3)
    | eqangle(sK25,sK29,sK26,sK25,X4,X5,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_93767,plain,
    ( ~ para(sK25,sK24,sK26,sK25)
    | eqangle(sK25,sK24,sK29,sK25,sK26,sK25,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_91686]) ).

cnf(c_93964,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,X0,X1,sK29,sK25)
    | eqangle(sK29,sK25,sK25,sK24,sK29,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_90910]) ).

cnf(c_93966,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,sK21,sK21,sK29,sK25)
    | eqangle(sK29,sK25,sK25,sK24,sK29,sK25,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_93964]) ).

cnf(c_94235,plain,
    ( ~ eqangle(sK25,sK29,sK25,X0,sK25,sK29,sK25,X0)
    | para(sK25,sK29,sK25,sK29) ),
    inference(instantiation,[status(thm)],[c_91133]) ).

cnf(c_94653,plain,
    ( ~ midp(X0,sK29,sK29)
    | cong(X0,sK29,X0,sK29) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_94654,plain,
    ( ~ midp(sK21,sK29,sK29)
    | cong(sK21,sK29,sK21,sK29) ),
    inference(instantiation,[status(thm)],[c_94653]) ).

cnf(c_95351,plain,
    ( ~ eqangle(X0,X1,sK29,sK25,sK29,sK25,X0,X1)
    | eqangle(sK29,sK25,X0,X1,X0,X1,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_67]) ).

cnf(c_95352,plain,
    ( ~ eqangle(sK21,sK21,sK29,sK25,sK29,sK25,sK21,sK21)
    | eqangle(sK29,sK25,sK21,sK21,sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_95351]) ).

cnf(c_95770,plain,
    ( ~ eqangle(sK25,sK24,sK29,sK25,sK26,sK25,sK29,sK25)
    | eqangle(sK26,sK25,sK29,sK25,sK25,sK24,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_91863]) ).

cnf(c_96236,plain,
    ( ~ eqangle(sK25,sK24,sK25,sK29,sK25,sK24,sK25,sK29)
    | eqangle(sK25,sK29,sK25,sK24,sK25,sK29,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_91979]) ).

cnf(c_96237,plain,
    ( ~ para(sK25,sK24,sK25,sK24)
    | eqangle(sK25,sK24,sK25,sK29,sK25,sK24,sK25,sK29) ),
    inference(instantiation,[status(thm)],[c_91713]) ).

cnf(c_97267,plain,
    ( ~ para(X0,X1,sK25,sK24)
    | ~ para(sK25,sK24,X0,X1)
    | para(sK25,sK24,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_91342]) ).

cnf(c_97275,plain,
    ( ~ para(sK25,sK24,sK21,sK21)
    | ~ para(sK21,sK21,sK25,sK24)
    | para(sK25,sK24,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_97267]) ).

cnf(c_97301,plain,
    ( ~ eqangle(sK29,sK25,X0,X1,sK29,sK25,sK25,sK24)
    | eqangle(sK25,sK29,X0,X1,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_90723]) ).

cnf(c_97770,plain,
    ( ~ para(X0,X1,sK26,sK25)
    | ~ para(sK25,sK24,X0,X1)
    | para(sK25,sK24,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_97773,plain,
    ( ~ para(sK25,sK24,sK21,sK21)
    | ~ para(sK21,sK21,sK26,sK25)
    | para(sK25,sK24,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_97770]) ).

cnf(c_99554,plain,
    ( ~ eqangle(sK29,sK25,X0,X1,X2,X3,sK29,sK25)
    | ~ eqangle(sK29,sK25,sK25,sK24,sK29,sK25,X0,X1)
    | eqangle(sK29,sK25,sK25,sK24,X2,X3,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_91876]) ).

cnf(c_99555,plain,
    ( ~ eqangle(sK29,sK25,sK25,sK24,sK29,sK25,sK21,sK21)
    | ~ eqangle(sK29,sK25,sK21,sK21,sK21,sK21,sK29,sK25)
    | eqangle(sK29,sK25,sK25,sK24,sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_99554]) ).

cnf(c_99619,plain,
    ( ~ eqangle(sK26,sK25,sK29,sK25,sK25,sK24,sK29,sK25)
    | eqangle(sK29,sK25,sK26,sK25,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_93573]) ).

cnf(c_102191,plain,
    ( ~ eqangle(sK25,sK29,sK25,sK24,sK25,sK29,sK25,sK24)
    | para(sK25,sK29,sK25,sK29) ),
    inference(instantiation,[status(thm)],[c_94235]) ).

cnf(c_102894,plain,
    ( ~ eqangle(sK29,sK25,sK26,sK25,sK29,sK25,sK25,sK24)
    | eqangle(sK25,sK29,sK26,sK25,sK29,sK25,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_97301]) ).

cnf(c_102895,plain,
    ( ~ eqangle(sK29,sK25,sK25,sK24,X0,X1,sK29,sK25)
    | ~ eqangle(sK25,sK29,sK26,sK25,sK29,sK25,sK25,sK24)
    | eqangle(sK25,sK29,sK26,sK25,X0,X1,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_93597]) ).

cnf(c_102898,plain,
    ( ~ eqangle(sK25,sK29,sK26,sK25,sK29,sK25,sK25,sK24)
    | ~ eqangle(sK29,sK25,sK25,sK24,sK21,sK21,sK29,sK25)
    | eqangle(sK25,sK29,sK26,sK25,sK21,sK21,sK29,sK25) ),
    inference(instantiation,[status(thm)],[c_102895]) ).

cnf(c_106759,plain,
    ( ~ para(sK25,sK29,sK25,sK29)
    | ~ midp(X0,sK25,sK25)
    | midp(X0,sK29,sK29) ),
    inference(instantiation,[status(thm)],[c_91526]) ).

cnf(c_106761,plain,
    ( ~ para(sK25,sK29,sK25,sK29)
    | ~ midp(sK21,sK25,sK25)
    | midp(sK21,sK29,sK29) ),
    inference(instantiation,[status(thm)],[c_106759]) ).

cnf(c_106762,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_106761,c_102898,c_102894,c_102191,c_99619,c_99555,c_97773,c_97275,c_96237,c_96236,c_95770,c_95352,c_94654,c_93966,c_93767,c_93003,c_92174,c_91866,c_91753,c_91740,c_91432,c_91340,c_85696,c_57528,c_57527,c_51878,c_49649,c_45562,c_37914,c_36722,c_35802,c_31396,c_31320,c_31209,c_28523,c_27454,c_21069,c_13426,c_11404,c_11400,c_10841,c_10729,c_10168,c_10122,c_9723,c_9651,c_9626,c_9205,c_9018,c_8647,c_8582,c_8186,c_8048,c_7918,c_7850,c_7656,c_6696,c_6622,c_6567,c_6561,c_6207,c_6152,c_6124,c_6125,c_235,c_186,c_181,c_177,c_162,c_165,c_167]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO625+1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n031.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 23:40:11 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 24.79/4.21  % SZS status Started for theBenchmark.p
% 24.79/4.21  % SZS status Theorem for theBenchmark.p
% 24.79/4.21  
% 24.79/4.21  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.79/4.21  
% 24.79/4.21  ------  iProver source info
% 24.79/4.21  
% 24.79/4.21  git: date: 2023-05-31 18:12:56 +0000
% 24.79/4.21  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.79/4.21  git: non_committed_changes: false
% 24.79/4.21  git: last_make_outside_of_git: false
% 24.79/4.21  
% 24.79/4.21  ------ Parsing...
% 24.79/4.21  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.79/4.21  
% 24.79/4.21  ------ 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 
% 24.79/4.21  
% 24.79/4.21  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 24.79/4.21  
% 24.79/4.21  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 24.79/4.21  ------ Proving...
% 24.79/4.21  ------ Problem Properties 
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  clauses                                 122
% 24.79/4.21  conjectures                             10
% 24.79/4.21  EPR                                     85
% 24.79/4.21  Horn                                    112
% 24.79/4.21  unary                                   10
% 24.79/4.21  binary                                  37
% 24.79/4.21  lits                                    338
% 24.79/4.21  lits eq                                 4
% 24.79/4.21  fd_pure                                 0
% 24.79/4.21  fd_pseudo                               0
% 24.79/4.21  fd_cond                                 0
% 24.79/4.21  fd_pseudo_cond                          4
% 24.79/4.21  AC symbols                              0
% 24.79/4.21  
% 24.79/4.21  ------ Schedule dynamic 5 is on 
% 24.79/4.21  
% 24.79/4.21  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  ------ 
% 24.79/4.21  Current options:
% 24.79/4.21  ------ 
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  ------ Proving...
% 24.79/4.21  
% 24.79/4.21  
% 24.79/4.21  % SZS status Theorem for theBenchmark.p
% 24.79/4.21  
% 24.79/4.21  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.79/4.22  
% 26.55/4.22  
%------------------------------------------------------------------------------