TSTP Solution File: GEO641+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n008.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 23:12:16 EDT 2023

% Result   : Theorem 23.21s 4.20s
% Output   : CNFRefutation 23.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  440 ( 114 unt;   0 def)
%            Number of atoms       : 1009 (   0 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  980 ( 411   ~; 409   |;  99   &)
%                                         (   0 <=>;  61  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-4 aty)
%            Number of variables   : 1042 (   6 sgn; 715   !;  28   ?)

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

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

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

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

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

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

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

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

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

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

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

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

fof(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/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

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

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

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

fof(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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

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

fof(f42,axiom,
    ! [X0,X1,X8,X9] :
      ( ( ~ coll(X8,X9,X0)
        & eqangle(X8,X0,X8,X1,X9,X0,X9,X1) )
     => cyclic(X0,X1,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD42a) ).

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

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

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

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

fof(f47,axiom,
    ! [X0,X1,X7] :
      ( cong(X7,X0,X7,X1)
     => eqangle(X7,X0,X0,X1,X0,X1,X7,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD46) ).

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

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

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

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

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

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

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

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

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

fof(f95,conjecture,
    ! [X0,X1,X2,X7,X3,X10,X11,X18] :
      ( ( perp(X2,X3,X0,X11)
        & perp(X0,X3,X2,X11)
        & perp(X0,X2,X3,X11)
        & perp(X1,X3,X0,X10)
        & perp(X0,X3,X1,X10)
        & perp(X0,X1,X3,X10)
        & circle(X7,X0,X3,X18)
        & circle(X7,X0,X1,X2) )
     => para(X10,X11,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109107) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X3,X10,X11,X18] :
        ( ( perp(X2,X3,X0,X11)
          & perp(X0,X3,X2,X11)
          & perp(X0,X2,X3,X11)
          & perp(X1,X3,X0,X10)
          & perp(X0,X3,X1,X10)
          & perp(X0,X1,X3,X10)
          & circle(X7,X0,X3,X18)
          & circle(X7,X0,X1,X2) )
       => para(X10,X11,X1,X2) ),
    inference(negated_conjecture,[],[f95]) ).

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

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

fof(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(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(f121,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ coll(X2,X3,X0)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    inference(rectify,[],[f42]) ).

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

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

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

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

fof(f126,plain,
    ! [X0,X1,X2] :
      ( cong(X2,X0,X2,X1)
     => eqangle(X2,X0,X0,X1,X0,X1,X2,X1) ),
    inference(rectify,[],[f47]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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(f221,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f121]) ).

fof(f222,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(flattening,[],[f221]) ).

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

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

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

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

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

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

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

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

fof(f231,plain,
    ! [X0,X1,X2] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f126]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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(f401,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f222]) ).

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

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

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

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

fof(f406,plain,
    ! [X2,X0,X1] :
      ( eqangle(X2,X0,X0,X1,X0,X1,X2,X1)
      | ~ cong(X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f231]) ).

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

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

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

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

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

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

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

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

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

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

fof(f474,plain,
    circle(sK23,sK20,sK24,sK27),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    perp(sK20,sK21,sK24,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    perp(sK20,sK24,sK21,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    perp(sK21,sK24,sK20,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f478,plain,
    perp(sK20,sK22,sK24,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    perp(sK20,sK24,sK22,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK22,sK24,sK20,sK26),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    ~ para(sK25,sK26,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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_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_73,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,X5)
    | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f384]) ).

cnf(c_87,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f398]) ).

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

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

cnf(c_90,plain,
    ( ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | cyclic(X1,X2,X0,X3)
    | coll(X0,X3,X1) ),
    inference(cnf_transformation,[],[f401]) ).

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

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

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

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

cnf(c_95,plain,
    ( ~ cong(X0,X1,X0,X2)
    | eqangle(X0,X1,X1,X2,X1,X2,X0,X2) ),
    inference(cnf_transformation,[],[f406]) ).

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

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

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

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

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

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

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

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

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

cnf(c_162,negated_conjecture,
    ~ para(sK25,sK26,sK21,sK22),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_163,negated_conjecture,
    perp(sK22,sK24,sK20,sK26),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_164,negated_conjecture,
    perp(sK20,sK24,sK22,sK26),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_165,negated_conjecture,
    perp(sK20,sK22,sK24,sK26),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_166,negated_conjecture,
    perp(sK21,sK24,sK20,sK25),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_167,negated_conjecture,
    perp(sK20,sK24,sK21,sK25),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_168,negated_conjecture,
    perp(sK20,sK21,sK24,sK25),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_169,negated_conjecture,
    circle(sK23,sK20,sK24,sK27),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_170,negated_conjecture,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f473]) ).

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

cnf(c_179,plain,
    ( ~ cyclic(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_89]) ).

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

cnf(c_371,plain,
    ( ~ circle(sK23,sK20,sK24,sK27)
    | perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_148]) ).

cnf(c_425,plain,
    perp(sK22,sK24,sK26,sK20),
    inference(superposition,[status(thm)],[c_163,c_55]) ).

cnf(c_441,plain,
    perp(sK20,sK26,sK22,sK24),
    inference(superposition,[status(thm)],[c_163,c_56]) ).

cnf(c_443,plain,
    perp(sK24,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_165,c_56]) ).

cnf(c_484,plain,
    perp(sK20,sK26,sK24,sK22),
    inference(superposition,[status(thm)],[c_441,c_55]) ).

cnf(c_527,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_117,c_71]) ).

cnf(c_539,plain,
    perp(sK24,sK22,sK20,sK26),
    inference(superposition,[status(thm)],[c_484,c_56]) ).

cnf(c_608,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X2,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_527,c_72]) ).

cnf(c_644,plain,
    ( ~ cong(X0,X0,X0,X1)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_95,c_87]) ).

cnf(c_649,plain,
    ( ~ midp(X0,X1,X0)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_608,c_644]) ).

cnf(c_688,plain,
    ( ~ midp(X0,X1,X0)
    | para(X0,X0,X1,X0) ),
    inference(superposition,[status(thm)],[c_649,c_52]) ).

cnf(c_693,plain,
    ( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
    | perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_695,plain,
    ( ~ perp(X0,X1,sK11(sK20,sK24,sK27,sK23),sK20)
    | ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
    | para(X0,X1,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_709,plain,
    ( ~ midp(X0,X1,X0)
    | para(X1,X0,X0,X0) ),
    inference(superposition,[status(thm)],[c_688,c_53]) ).

cnf(c_729,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_170,c_102]) ).

cnf(c_731,plain,
    ( ~ midp(sK24,sK20,sK26)
    | cong(sK22,sK20,sK22,sK26) ),
    inference(superposition,[status(thm)],[c_163,c_104]) ).

cnf(c_737,plain,
    ( ~ midp(sK24,sK26,sK20)
    | cong(sK22,sK26,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_425,c_104]) ).

cnf(c_745,plain,
    ( ~ midp(sK26,sK20,sK22)
    | cong(sK24,sK20,sK24,sK22) ),
    inference(superposition,[status(thm)],[c_443,c_104]) ).

cnf(c_749,plain,
    ( ~ midp(sK22,sK20,sK26)
    | cong(sK24,sK20,sK24,sK26) ),
    inference(superposition,[status(thm)],[c_539,c_104]) ).

cnf(c_909,plain,
    perp(sK20,sK26,sK22,sK24),
    inference(superposition,[status(thm)],[c_163,c_56]) ).

cnf(c_910,plain,
    perp(sK22,sK26,sK20,sK24),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_911,plain,
    perp(sK24,sK26,sK20,sK22),
    inference(superposition,[status(thm)],[c_165,c_56]) ).

cnf(c_912,plain,
    perp(sK20,sK25,sK21,sK24),
    inference(superposition,[status(thm)],[c_166,c_56]) ).

cnf(c_913,plain,
    perp(sK21,sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_167,c_56]) ).

cnf(c_914,plain,
    perp(sK24,sK25,sK20,sK21),
    inference(superposition,[status(thm)],[c_168,c_56]) ).

cnf(c_959,plain,
    ( ~ midp(sK24,sK26,sK20)
    | cong(sK22,sK20,sK22,sK26) ),
    inference(superposition,[status(thm)],[c_737,c_72]) ).

cnf(c_994,plain,
    ( ~ midp(sK22,sK20,sK26)
    | cong(sK24,sK26,sK24,sK20) ),
    inference(superposition,[status(thm)],[c_749,c_72]) ).

cnf(c_1026,plain,
    perp(sK24,sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_911,c_55]) ).

cnf(c_1312,plain,
    ( ~ coll(sK24,sK20,sK22)
    | ~ midp(sK26,sK20,sK22)
    | midp(sK24,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_745,c_116]) ).

cnf(c_1316,plain,
    ( ~ coll(sK24,sK20,sK26)
    | ~ midp(sK22,sK20,sK26)
    | midp(sK24,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_749,c_116]) ).

cnf(c_1403,plain,
    perp(sK22,sK26,sK20,sK24),
    inference(resolution,[status(thm)],[c_56,c_164]) ).

cnf(c_1404,plain,
    perp(sK24,sK26,sK20,sK22),
    inference(resolution,[status(thm)],[c_56,c_165]) ).

cnf(c_1671,plain,
    ( ~ perp(sK22,sK26,X0,X1)
    | para(sK20,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_1672,plain,
    ( ~ perp(sK24,sK26,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_165,c_57]) ).

cnf(c_1675,plain,
    ( ~ perp(sK24,sK25,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_168,c_57]) ).

cnf(c_1682,plain,
    ( ~ perp(sK22,sK24,X0,X1)
    | para(sK20,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_909,c_57]) ).

cnf(c_1683,plain,
    ( ~ perp(sK20,sK24,X0,X1)
    | para(sK22,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_910,c_57]) ).

cnf(c_1684,plain,
    ( ~ perp(sK20,sK22,X0,X1)
    | para(sK24,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_911,c_57]) ).

cnf(c_1685,plain,
    ( ~ perp(sK21,sK24,X0,X1)
    | para(sK20,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_912,c_57]) ).

cnf(c_1686,plain,
    ( ~ perp(sK20,sK24,X0,X1)
    | para(sK21,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_913,c_57]) ).

cnf(c_1687,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK24,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_914,c_57]) ).

cnf(c_1723,plain,
    ( ~ perp(sK22,sK24,sK20,sK20)
    | para(sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_1682]) ).

cnf(c_2083,plain,
    ( ~ perp(X0,X1,sK22,sK26)
    | para(X0,X1,sK20,sK24) ),
    inference(resolution,[status(thm)],[c_57,c_1403]) ).

cnf(c_2085,plain,
    ( ~ perp(X0,X1,sK24,sK26)
    | para(X0,X1,sK20,sK22) ),
    inference(resolution,[status(thm)],[c_57,c_1404]) ).

cnf(c_2234,plain,
    para(sK20,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_910,c_1671]) ).

cnf(c_2246,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_911,c_1672]) ).

cnf(c_2247,plain,
    para(sK20,sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_1026,c_1672]) ).

cnf(c_2262,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_914,c_1675]) ).

cnf(c_2529,plain,
    perp(sK20,sK24,sK26,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_2762,plain,
    para(sK20,sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_163,c_1682]) ).

cnf(c_2766,plain,
    coll(sK20,sK26,sK26),
    inference(superposition,[status(thm)],[c_2762,c_115]) ).

cnf(c_2893,plain,
    ( ~ coll(sK22,sK20,sK26)
    | ~ midp(sK24,sK26,sK20)
    | midp(sK22,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_959,c_116]) ).

cnf(c_2896,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK26,X0,sK20) ),
    inference(superposition,[status(thm)],[c_2766,c_51]) ).

cnf(c_2899,plain,
    ( ~ coll(sK20,sK26,sK20)
    | coll(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_2896]) ).

cnf(c_2931,plain,
    para(sK22,sK26,sK22,sK26),
    inference(superposition,[status(thm)],[c_164,c_1683]) ).

cnf(c_2933,plain,
    para(sK22,sK26,sK26,sK22),
    inference(superposition,[status(thm)],[c_2529,c_1683]) ).

cnf(c_2940,plain,
    coll(sK22,sK26,sK26),
    inference(superposition,[status(thm)],[c_2931,c_115]) ).

cnf(c_2955,plain,
    ( ~ coll(sK22,sK26,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_2940,c_51]) ).

cnf(c_2958,plain,
    ( ~ coll(sK22,sK26,sK20)
    | coll(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_2955]) ).

cnf(c_4003,plain,
    ( ~ coll(sK24,sK26,sK20)
    | ~ midp(sK22,sK20,sK26)
    | midp(sK24,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_994,c_116]) ).

cnf(c_4061,plain,
    para(sK21,sK25,sK21,sK25),
    inference(superposition,[status(thm)],[c_167,c_1686]) ).

cnf(c_4093,plain,
    coll(sK21,sK25,sK25),
    inference(superposition,[status(thm)],[c_4061,c_115]) ).

cnf(c_4094,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_4093,c_51]) ).

cnf(c_4097,plain,
    ( ~ coll(sK21,sK25,sK20)
    | coll(sK25,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_4094]) ).

cnf(c_4158,plain,
    para(sK20,sK24,sK20,sK24),
    inference(resolution,[status(thm)],[c_2083,c_164]) ).

cnf(c_4276,plain,
    para(sK20,sK22,sK20,sK22),
    inference(resolution,[status(thm)],[c_2085,c_165]) ).

cnf(c_4385,plain,
    coll(sK20,sK22,sK22),
    inference(resolution,[status(thm)],[c_4276,c_115]) ).

cnf(c_4401,plain,
    coll(sK22,sK20,sK22),
    inference(resolution,[status(thm)],[c_4385,c_50]) ).

cnf(c_4603,plain,
    ( ~ coll(sK22,X0,sK22)
    | ~ midp(sK20,X0,sK20)
    | midp(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_2246,c_94]) ).

cnf(c_4611,plain,
    ( ~ coll(sK26,X0,sK22)
    | ~ midp(sK22,X0,sK26)
    | midp(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_2933,c_94]) ).

cnf(c_4625,plain,
    ( ~ coll(sK26,sK20,sK22)
    | ~ midp(sK22,sK20,sK26)
    | midp(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_4611]) ).

cnf(c_4633,plain,
    ( ~ coll(sK22,sK20,sK22)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_4603]) ).

cnf(c_4914,plain,
    ( ~ perp(sK11(sK20,sK24,sK27,sK23),sK20,sK20,sK23)
    | ~ perp(sK20,sK23,sK11(sK20,sK24,sK27,sK23),sK20)
    | para(sK20,sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_695]) ).

cnf(c_6002,plain,
    coll(sK20,sK24,sK24),
    inference(superposition,[status(thm)],[c_2234,c_115]) ).

cnf(c_6005,plain,
    coll(sK20,sK22,sK22),
    inference(superposition,[status(thm)],[c_2246,c_115]) ).

cnf(c_6011,plain,
    coll(sK20,sK21,sK21),
    inference(superposition,[status(thm)],[c_2262,c_115]) ).

cnf(c_6016,plain,
    para(sK22,sK20,sK20,sK22),
    inference(superposition,[status(thm)],[c_2247,c_53]) ).

cnf(c_6021,plain,
    perp(sK22,sK24,sK26,sK20),
    inference(superposition,[status(thm)],[c_163,c_55]) ).

cnf(c_6022,plain,
    perp(sK20,sK24,sK26,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_6028,plain,
    ( ~ coll(sK23,sK20,sK22)
    | perp(sK20,sK21,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_729,c_55]) ).

cnf(c_6037,plain,
    coll(sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_6002,c_50]) ).

cnf(c_6039,plain,
    coll(sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_6005,c_50]) ).

cnf(c_6043,plain,
    coll(sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_6011,c_50]) ).

cnf(c_6069,plain,
    ( ~ midp(sK24,sK20,sK26)
    | cong(sK22,sK26,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_731,c_72]) ).

cnf(c_6373,plain,
    ( ~ cong(sK22,sK26,X0,X1)
    | ~ midp(sK24,sK20,sK26)
    | cong(sK22,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_731,c_73]) ).

cnf(c_6404,plain,
    para(sK20,sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_163,c_1682]) ).

cnf(c_6405,plain,
    para(sK20,sK26,sK26,sK20),
    inference(superposition,[status(thm)],[c_6021,c_1682]) ).

cnf(c_6410,plain,
    coll(sK20,sK26,sK26),
    inference(superposition,[status(thm)],[c_6404,c_115]) ).

cnf(c_6412,plain,
    coll(sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_6410,c_50]) ).

cnf(c_6416,plain,
    para(sK26,sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_6405,c_53]) ).

cnf(c_6418,plain,
    para(sK22,sK26,sK22,sK26),
    inference(superposition,[status(thm)],[c_164,c_1683]) ).

cnf(c_6420,plain,
    para(sK22,sK26,sK26,sK22),
    inference(superposition,[status(thm)],[c_6022,c_1683]) ).

cnf(c_6428,plain,
    coll(sK22,sK26,sK26),
    inference(superposition,[status(thm)],[c_6418,c_115]) ).

cnf(c_6434,plain,
    coll(sK26,sK22,sK26),
    inference(superposition,[status(thm)],[c_6428,c_50]) ).

cnf(c_6451,plain,
    coll(sK26,sK26,sK20),
    inference(superposition,[status(thm)],[c_6412,c_49]) ).

cnf(c_6454,plain,
    coll(sK26,sK26,sK22),
    inference(superposition,[status(thm)],[c_6434,c_49]) ).

cnf(c_6464,plain,
    para(sK26,sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_6420,c_53]) ).

cnf(c_6478,plain,
    para(sK24,sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_165,c_1684]) ).

cnf(c_6484,plain,
    coll(sK24,sK26,sK26),
    inference(superposition,[status(thm)],[c_6478,c_115]) ).

cnf(c_6486,plain,
    coll(sK26,sK24,sK26),
    inference(superposition,[status(thm)],[c_6484,c_50]) ).

cnf(c_6501,plain,
    coll(sK26,sK26,sK24),
    inference(superposition,[status(thm)],[c_6486,c_49]) ).

cnf(c_6520,plain,
    para(sK20,sK25,sK20,sK25),
    inference(superposition,[status(thm)],[c_166,c_1685]) ).

cnf(c_6526,plain,
    coll(sK20,sK25,sK25),
    inference(superposition,[status(thm)],[c_6520,c_115]) ).

cnf(c_6528,plain,
    coll(sK25,sK20,sK25),
    inference(superposition,[status(thm)],[c_6526,c_50]) ).

cnf(c_6567,plain,
    coll(sK25,sK25,sK20),
    inference(superposition,[status(thm)],[c_6528,c_49]) ).

cnf(c_6590,plain,
    ( ~ coll(sK23,sK20,sK22)
    | para(sK24,sK25,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_6028,c_1687]) ).

cnf(c_6631,plain,
    ( ~ coll(sK20,X0,sK26)
    | ~ midp(sK26,X0,sK20)
    | midp(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6416,c_94]) ).

cnf(c_6632,plain,
    ( ~ coll(sK22,X0,sK26)
    | ~ midp(sK26,X0,sK22)
    | midp(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6464,c_94]) ).

cnf(c_6644,plain,
    ( ~ coll(sK20,X0,sK22)
    | ~ midp(sK22,X0,sK20)
    | midp(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6016,c_94]) ).

cnf(c_6665,plain,
    ( ~ coll(sK20,sK20,sK22)
    | ~ midp(sK22,sK20,sK20)
    | midp(sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_6644]) ).

cnf(c_6669,plain,
    ( ~ coll(sK22,sK20,sK26)
    | ~ midp(sK26,sK20,sK22)
    | midp(sK22,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_6632]) ).

cnf(c_6670,plain,
    ( ~ coll(sK20,sK20,sK26)
    | ~ midp(sK26,sK20,sK20)
    | midp(sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_6631]) ).

cnf(c_6893,plain,
    ( ~ coll(sK25,X0,sK21)
    | ~ midp(sK24,X0,sK22)
    | ~ coll(sK23,sK20,sK22)
    | midp(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6590,c_94]) ).

cnf(c_6900,plain,
    ( ~ coll(sK25,sK20,sK21)
    | ~ coll(sK23,sK20,sK22)
    | ~ midp(sK24,sK20,sK22)
    | midp(sK25,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6893]) ).

cnf(c_6915,plain,
    ( ~ midp(sK24,sK20,sK26)
    | cong(sK22,sK20,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_6069,c_6373]) ).

cnf(c_6976,plain,
    ( ~ para(sK20,sK24,sK20,sK24)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_2234,c_113]) ).

cnf(c_6978,plain,
    ( ~ para(sK20,sK22,sK20,sK22)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_2246,c_113]) ).

cnf(c_7032,plain,
    ( ~ para(sK20,sK22,sK20,sK22)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6978]) ).

cnf(c_7034,plain,
    ( ~ para(sK20,sK24,sK20,sK24)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK24,sK24) ),
    inference(instantiation,[status(thm)],[c_6976]) ).

cnf(c_7909,plain,
    ( ~ para(sK23,sK20,sK23,sK22)
    | coll(sK23,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_9073,plain,
    ( ~ para(X0,X1,X0,X1)
    | ~ coll(X0,X0,X2)
    | cyclic(X1,X2,X0,X0) ),
    inference(resolution,[status(thm)],[c_91,c_88]) ).

cnf(c_12287,plain,
    coll(sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_6037,c_49]) ).

cnf(c_12290,plain,
    coll(sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6039,c_49]) ).

cnf(c_12703,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6043,c_49]) ).

cnf(c_12704,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6451,c_51]) ).

cnf(c_12708,plain,
    ( ~ coll(sK26,sK26,sK20)
    | coll(sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_12704]) ).

cnf(c_12709,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6454,c_51]) ).

cnf(c_12713,plain,
    ( ~ coll(sK26,sK26,sK20)
    | coll(sK22,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_12709]) ).

cnf(c_13170,plain,
    ( ~ coll(sK26,sK26,X0)
    | coll(sK24,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6501,c_51]) ).

cnf(c_13174,plain,
    ( ~ coll(sK26,sK26,sK20)
    | coll(sK24,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_13170]) ).

cnf(c_13175,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6567,c_51]) ).

cnf(c_13179,plain,
    ( ~ coll(sK25,sK25,sK20)
    | coll(sK20,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_13175]) ).

cnf(c_13227,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_12287,c_51]) ).

cnf(c_13231,plain,
    ( ~ coll(sK24,sK24,sK20)
    | coll(sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_13227]) ).

cnf(c_13232,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_12290,c_51]) ).

cnf(c_13236,plain,
    ( ~ coll(sK22,sK22,sK20)
    | coll(sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_13232]) ).

cnf(c_13280,plain,
    coll(sK20,sK21,sK21),
    inference(superposition,[status(thm)],[c_2262,c_115]) ).

cnf(c_13298,plain,
    perp(sK20,sK26,sK22,sK24),
    inference(superposition,[status(thm)],[c_163,c_56]) ).

cnf(c_13319,plain,
    perp(sK20,sK26,sK24,sK22),
    inference(superposition,[status(thm)],[c_13298,c_55]) ).

cnf(c_13440,plain,
    ( ~ coll(sK22,sK20,sK20)
    | ~ midp(sK24,sK20,sK26)
    | midp(sK22,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_6915,c_116]) ).

cnf(c_13528,plain,
    ( ~ perp(sK20,sK26,X0,X1)
    | para(sK22,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_163,c_57]) ).

cnf(c_13575,plain,
    para(sK22,sK24,sK24,sK22),
    inference(superposition,[status(thm)],[c_13319,c_13528]) ).

cnf(c_13628,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ midp(X0,X4,X1)
    | cong(X0,X4,X2,X3) ),
    inference(superposition,[status(thm)],[c_117,c_73]) ).

cnf(c_13683,plain,
    ( ~ midp(sK22,X0,sK26)
    | ~ midp(sK24,sK26,sK20)
    | cong(sK22,X0,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_737,c_13628]) ).

cnf(c_13726,plain,
    ( ~ midp(sK22,sK20,sK26)
    | ~ midp(sK24,sK26,sK20)
    | cong(sK22,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_13683]) ).

cnf(c_13817,plain,
    para(sK20,sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_163,c_1682]) ).

cnf(c_13837,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X2,X3,X4,X5,X0,X1,X4,X5) ),
    inference(superposition,[status(thm)],[c_88,c_68]) ).

cnf(c_13844,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X2,X3,X4,X5,X4,X5) ),
    inference(superposition,[status(thm)],[c_88,c_69]) ).

cnf(c_13914,plain,
    ( ~ para(X0,X1,X0,X1)
    | cyclic(X1,X2,X0,X0)
    | coll(X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_13837,c_90]) ).

cnf(c_13937,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X1,X0,X2,X3,X4,X5,X4,X5) ),
    inference(superposition,[status(thm)],[c_13844,c_66]) ).

cnf(c_13964,plain,
    para(sK20,sK25,sK20,sK25),
    inference(superposition,[status(thm)],[c_166,c_1685]) ).

cnf(c_14157,plain,
    ( cyclic(sK26,X0,sK20,sK20)
    | coll(sK20,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_13817,c_13914]) ).

cnf(c_14160,plain,
    ( cyclic(sK25,X0,sK20,sK20)
    | coll(sK20,sK20,sK25) ),
    inference(superposition,[status(thm)],[c_13964,c_13914]) ).

cnf(c_14163,plain,
    ( cyclic(sK24,X0,sK20,sK20)
    | coll(sK20,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_2234,c_13914]) ).

cnf(c_14164,plain,
    ( cyclic(sK22,X0,sK20,sK20)
    | coll(sK20,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_2246,c_13914]) ).

cnf(c_14166,plain,
    ( cyclic(sK21,X0,sK20,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_2262,c_13914]) ).

cnf(c_14177,plain,
    coll(sK20,sK20,sK26),
    inference(global_subsumption_just,[status(thm)],[c_14157,c_6451,c_12708]) ).

cnf(c_14181,plain,
    coll(sK20,sK26,sK20),
    inference(superposition,[status(thm)],[c_14177,c_49]) ).

cnf(c_14197,plain,
    coll(sK20,sK20,sK25),
    inference(global_subsumption_just,[status(thm)],[c_14160,c_6567,c_13179]) ).

cnf(c_14280,plain,
    ( ~ para(X0,X1,X2,X3)
    | para(X1,X0,X2,X3) ),
    inference(superposition,[status(thm)],[c_13937,c_87]) ).

cnf(c_14294,plain,
    para(sK24,sK22,sK24,sK22),
    inference(superposition,[status(thm)],[c_13575,c_14280]) ).

cnf(c_14298,plain,
    para(sK22,sK20,sK22,sK20),
    inference(superposition,[status(thm)],[c_2247,c_14280]) ).

cnf(c_14502,plain,
    coll(sK22,sK20,sK20),
    inference(superposition,[status(thm)],[c_14298,c_115]) ).

cnf(c_14907,plain,
    ( ~ cong(sK22,sK20,sK22,X0)
    | ~ cong(sK22,sK20,sK22,X1)
    | ~ midp(sK24,sK20,sK26)
    | cyclic(sK20,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_6915,c_61]) ).

cnf(c_14928,plain,
    ( ~ cong(sK22,sK20,sK22,sK20)
    | ~ midp(sK24,sK20,sK26)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_14907]) ).

cnf(c_16732,plain,
    ( ~ perp(X0,X1,sK22,sK24)
    | perp(sK22,sK24,X0,X1) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_16733,plain,
    ( ~ perp(sK20,sK20,sK22,sK24)
    | perp(sK22,sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_16732]) ).

cnf(c_18035,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_13280,c_51]) ).

cnf(c_18097,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_13280,c_18035]) ).

cnf(c_18668,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_18097,c_51]) ).

cnf(c_18672,plain,
    ( ~ coll(sK21,sK21,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_18668]) ).

cnf(c_18948,plain,
    ( ~ coll(sK20,sK26,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_14181,c_51]) ).

cnf(c_18951,plain,
    ( ~ coll(sK20,sK26,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_18948]) ).

cnf(c_20323,plain,
    coll(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_14294,c_115]) ).

cnf(c_20572,plain,
    coll(sK20,sK20,sK24),
    inference(global_subsumption_just,[status(thm)],[c_14163,c_12287,c_13231]) ).

cnf(c_20574,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_20572,c_51]) ).

cnf(c_20577,plain,
    coll(sK20,sK20,sK22),
    inference(global_subsumption_just,[status(thm)],[c_14164,c_12290,c_13236]) ).

cnf(c_20579,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_20577,c_51]) ).

cnf(c_20625,plain,
    coll(sK20,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_14166,c_12703,c_18672]) ).

cnf(c_20627,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_20625,c_51]) ).

cnf(c_21610,plain,
    coll(sK22,sK24,sK22),
    inference(superposition,[status(thm)],[c_20323,c_50]) ).

cnf(c_21771,plain,
    coll(sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_21610,c_49]) ).

cnf(c_22316,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK24,X0,sK22) ),
    inference(superposition,[status(thm)],[c_21771,c_51]) ).

cnf(c_22319,plain,
    ( ~ coll(sK22,sK22,sK20)
    | coll(sK24,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_22316]) ).

cnf(c_25307,plain,
    coll(sK24,sK26,sK20),
    inference(superposition,[status(thm)],[c_14177,c_20574]) ).

cnf(c_25352,plain,
    coll(sK22,sK26,sK20),
    inference(superposition,[status(thm)],[c_14177,c_20579]) ).

cnf(c_25953,plain,
    coll(sK21,sK25,sK20),
    inference(superposition,[status(thm)],[c_14197,c_20627]) ).

cnf(c_26794,plain,
    ( ~ midp(sK25,X0,sK21)
    | ~ midp(sK26,X0,sK22)
    | para(sK25,sK26,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_26795,plain,
    ( ~ midp(sK25,sK20,sK21)
    | ~ midp(sK26,sK20,sK22)
    | para(sK25,sK26,sK21,sK22) ),
    inference(instantiation,[status(thm)],[c_26794]) ).

cnf(c_27739,plain,
    ( ~ midp(X0,sK20,sK22)
    | ~ midp(X0,sK23,sK23)
    | para(sK23,sK20,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_27740,plain,
    ( ~ midp(sK20,sK20,sK22)
    | ~ midp(sK20,sK23,sK23)
    | para(sK23,sK20,sK23,sK22) ),
    inference(instantiation,[status(thm)],[c_27739]) ).

cnf(c_29403,plain,
    ( ~ midp(X0,X1,sK26)
    | midp(X0,sK26,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_29404,plain,
    ( ~ midp(sK20,sK20,sK26)
    | midp(sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_29403]) ).

cnf(c_29526,plain,
    perp(sK20,sK24,sK26,sK22),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_29691,plain,
    para(sK20,sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_163,c_1682]) ).

cnf(c_29695,plain,
    coll(sK20,sK26,sK26),
    inference(superposition,[status(thm)],[c_29691,c_115]) ).

cnf(c_29697,plain,
    coll(sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_29695,c_50]) ).

cnf(c_29969,plain,
    para(sK22,sK26,sK26,sK22),
    inference(superposition,[status(thm)],[c_29526,c_1683]) ).

cnf(c_30014,plain,
    ( ~ para(sK26,sK22,X0,X1)
    | para(sK22,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_29969,c_54]) ).

cnf(c_30015,plain,
    para(sK26,sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_29969,c_53]) ).

cnf(c_30215,plain,
    ( ~ coll(sK26,X0,sK26)
    | ~ midp(sK20,X0,sK20)
    | midp(sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_29691,c_94]) ).

cnf(c_32055,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_29697,c_51]) ).

cnf(c_32311,plain,
    para(sK26,sK22,sK26,sK22),
    inference(superposition,[status(thm)],[c_30015,c_52]) ).

cnf(c_32789,plain,
    ( ~ coll(sK22,sK20,sK26)
    | ~ midp(sK24,sK26,sK20)
    | midp(sK22,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_959,c_116]) ).

cnf(c_33256,plain,
    ( ~ coll(sK22,X0,sK22)
    | ~ midp(sK26,X0,sK26)
    | midp(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_32311,c_94]) ).

cnf(c_33261,plain,
    coll(sK26,sK22,sK22),
    inference(superposition,[status(thm)],[c_32311,c_115]) ).

cnf(c_33263,plain,
    coll(sK22,sK26,sK22),
    inference(superposition,[status(thm)],[c_33261,c_50]) ).

cnf(c_33971,plain,
    coll(sK26,sK26,sK26),
    inference(superposition,[status(thm)],[c_29697,c_32055]) ).

cnf(c_33994,plain,
    ( ~ midp(sK20,sK26,sK20)
    | midp(sK26,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_33971,c_30215]) ).

cnf(c_35089,plain,
    ( ~ cong(X0,sK22,X1,sK22)
    | ~ cong(X0,sK24,X1,sK24)
    | perp(X0,X1,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_35090,plain,
    ( ~ cong(sK20,sK22,sK20,sK22)
    | ~ cong(sK20,sK24,sK20,sK24)
    | perp(sK20,sK20,sK22,sK24) ),
    inference(instantiation,[status(thm)],[c_35089]) ).

cnf(c_35933,plain,
    ( ~ para(X0,sK26,X1,X2)
    | ~ midp(X0,X3,X1)
    | ~ coll(sK26,X3,X2)
    | midp(sK26,X3,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_35934,plain,
    ( ~ para(sK20,sK26,sK20,sK20)
    | ~ coll(sK26,sK20,sK20)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_35933]) ).

cnf(c_37362,plain,
    ( ~ coll(sK20,sK20,X0)
    | cyclic(sK24,X0,sK20,sK20) ),
    inference(resolution,[status(thm)],[c_9073,c_4158]) ).

cnf(c_37363,plain,
    ( ~ coll(sK20,sK20,sK20)
    | cyclic(sK24,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_37362]) ).

cnf(c_37437,plain,
    ( ~ para(X0,sK23,X1,sK23)
    | ~ midp(sK20,X0,X1)
    | midp(sK20,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_37438,plain,
    ( ~ para(sK20,sK23,sK20,sK23)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK23,sK23) ),
    inference(instantiation,[status(thm)],[c_37437]) ).

cnf(c_37773,plain,
    ~ midp(sK24,sK26,sK20),
    inference(global_subsumption_just,[status(thm)],[c_32789,c_169,c_162,c_176,c_179,c_234,c_371,c_693,c_1316,c_1312,c_2893,c_2958,c_4097,c_4625,c_4914,c_6451,c_6665,c_6900,c_7909,c_12290,c_12713,c_13174,c_13236,c_13440,c_13726,c_14181,c_14502,c_14928,c_18951,c_22319,c_25352,c_25953,c_26795,c_27740,c_37438]) ).

cnf(c_38039,plain,
    ( ~ midp(sK26,sK26,sK26)
    | midp(sK22,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_33263,c_33256]) ).

cnf(c_38494,plain,
    ( ~ cyclic(sK24,X0,sK20,X1)
    | ~ coll(sK20,sK20,X0)
    | cyclic(X0,sK20,X1,sK20) ),
    inference(resolution,[status(thm)],[c_37362,c_65]) ).

cnf(c_38495,plain,
    ( ~ cyclic(sK24,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_38494]) ).

cnf(c_39766,plain,
    ( ~ midp(sK22,sK26,sK22)
    | para(sK22,sK26,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_709,c_30014]) ).

cnf(c_40107,plain,
    ( ~ coll(sK26,X0,sK22)
    | ~ midp(sK22,X0,sK22)
    | ~ midp(sK22,sK26,sK22)
    | midp(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_39766,c_94]) ).

cnf(c_40116,plain,
    ( ~ coll(sK26,sK20,sK22)
    | ~ midp(sK22,sK26,sK22)
    | ~ midp(sK22,sK20,sK22)
    | midp(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_40107]) ).

cnf(c_40118,plain,
    ( ~ midp(X0,sK24,sK24)
    | cong(X0,sK24,X0,sK24) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_40119,plain,
    ( ~ midp(sK20,sK24,sK24)
    | cong(sK20,sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_40118]) ).

cnf(c_40148,plain,
    ( ~ midp(X0,sK22,sK22)
    | cong(X0,sK22,X0,sK22) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_40149,plain,
    ( ~ midp(sK20,sK22,sK22)
    | cong(sK20,sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_40148]) ).

cnf(c_40150,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_40149,c_40119,c_40116,c_38495,c_38039,c_37773,c_37363,c_35934,c_35090,c_33994,c_29404,c_25352,c_25307,c_18951,c_16733,c_14181,c_12713,c_12708,c_7034,c_7032,c_6670,c_6669,c_6451,c_4633,c_4401,c_4003,c_2958,c_2899,c_2246,c_2234,c_1723,c_234,c_179,c_176]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : GEO641+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n008.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Aug 29 21:00:47 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.21/4.20  % SZS status Started for theBenchmark.p
% 23.21/4.20  % SZS status Theorem for theBenchmark.p
% 23.21/4.20  
% 23.21/4.20  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 23.21/4.20  
% 23.21/4.20  ------  iProver source info
% 23.21/4.20  
% 23.21/4.20  git: date: 2023-05-31 18:12:56 +0000
% 23.21/4.20  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 23.21/4.20  git: non_committed_changes: false
% 23.21/4.20  git: last_make_outside_of_git: false
% 23.21/4.20  
% 23.21/4.20  ------ Parsing...
% 23.21/4.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 23.21/4.20  
% 23.21/4.20  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e 
% 23.21/4.20  
% 23.21/4.20  ------ Preprocessing...
% 23.21/4.20  
% 23.21/4.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 23.21/4.20  ------ Proving...
% 23.21/4.20  ------ Problem Properties 
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  clauses                                 121
% 23.21/4.20  conjectures                             9
% 23.21/4.20  EPR                                     84
% 23.21/4.20  Horn                                    111
% 23.21/4.20  unary                                   9
% 23.21/4.20  binary                                  37
% 23.21/4.20  lits                                    337
% 23.21/4.20  lits eq                                 4
% 23.21/4.20  fd_pure                                 0
% 23.21/4.20  fd_pseudo                               0
% 23.21/4.20  fd_cond                                 0
% 23.21/4.20  fd_pseudo_cond                          4
% 23.21/4.20  AC symbols                              0
% 23.21/4.20  
% 23.21/4.20  ------ Input Options Time Limit: Unbounded
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  ------ 
% 23.21/4.20  Current options:
% 23.21/4.20  ------ 
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  ------ Proving...
% 23.21/4.20  
% 23.21/4.20  
% 23.21/4.20  % SZS status Theorem for theBenchmark.p
% 23.21/4.20  
% 23.21/4.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 23.21/4.20  
% 23.21/4.21  
%------------------------------------------------------------------------------