TSTP Solution File: GEO638+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO638+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 23:12:15 EDT 2023

% Result   : Theorem 24.15s 4.22s
% Output   : CNFRefutation 24.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   41
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  668 ( 220 unt;   0 def)
%            Number of atoms       : 1511 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives : 1513 ( 670   ~; 660   |; 130   &)
%                                         (   0 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-5 aty)
%            Number of variables   : 1055 (   1 sgn; 630   !;  43   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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(f70,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD69) ).

fof(f85,axiom,
    ! [X0,X1,X2,X3,X7] :
    ? [X8] :
      ( ( perp(X0,X1,X1,X7)
        & cong(X7,X2,X7,X3) )
     => ( cong(X1,X2,X1,X8)
        & para(X8,X2,X0,X1)
        & cong(X7,X2,X7,X8) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX9) ).

fof(f91,axiom,
    ! [X0,X1,X2,X4,X5] :
    ? [X8] :
      ( ( coll(X1,X4,X5)
        & perp(X0,X2,X2,X1) )
     => ( perp(X8,X0,X4,X5)
        & coll(X8,X4,X5) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleX15) ).

fof(f95,conjecture,
    ! [X0,X1,X4,X12,X3,X2,X5,X13,X18,X19,X20] :
      ( ( coll(X13,X0,X1)
        & perp(X13,X5,X0,X1)
        & midp(X5,X2,X3)
        & coll(X2,X12,X3)
        & para(X0,X3,X2,X1)
        & perp(X4,X12,X12,X3)
        & circle(X4,X0,X12,X20)
        & circle(X4,X0,X18,X19)
        & midp(X4,X0,X1) )
     => perp(X2,X13,X3,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109104) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X4,X12,X3,X2,X5,X13,X18,X19,X20] :
        ( ( coll(X13,X0,X1)
          & perp(X13,X5,X0,X1)
          & midp(X5,X2,X3)
          & coll(X2,X12,X3)
          & para(X0,X3,X2,X1)
          & perp(X4,X12,X12,X3)
          & circle(X4,X0,X12,X20)
          & circle(X4,X0,X18,X19)
          & midp(X4,X0,X1) )
       => perp(X2,X13,X3,X13) ),
    inference(negated_conjecture,[],[f95]) ).

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

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

fof(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(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(f157,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( perp(X0,X1,X1,X4)
        & cong(X4,X2,X4,X3) )
     => ( cong(X1,X2,X1,X5)
        & para(X5,X2,X0,X1)
        & cong(X4,X2,X4,X5) ) ),
    inference(rectify,[],[f85]) ).

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

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
        ( ( coll(X7,X0,X1)
          & perp(X7,X6,X0,X1)
          & midp(X6,X5,X4)
          & coll(X5,X3,X4)
          & para(X0,X4,X5,X1)
          & perp(X2,X3,X3,X4)
          & circle(X2,X0,X3,X10)
          & circle(X2,X0,X8,X9)
          & midp(X2,X0,X1) )
       => perp(X5,X7,X4,X7) ),
    inference(rectify,[],[f96]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f300,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( cong(X1,X2,X1,X5)
        & para(X5,X2,X0,X1)
        & cong(X4,X2,X4,X5) )
      | ~ perp(X0,X1,X1,X4)
      | ~ cong(X4,X2,X4,X3) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f301,plain,
    ! [X0,X1,X2,X3,X4] :
    ? [X5] :
      ( ( cong(X1,X2,X1,X5)
        & para(X5,X2,X0,X1)
        & cong(X4,X2,X4,X5) )
      | ~ perp(X0,X1,X1,X4)
      | ~ cong(X4,X2,X4,X3) ),
    inference(flattening,[],[f300]) ).

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

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

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

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

fof(f338,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ? [X5] :
          ( ( cong(X1,X2,X1,X5)
            & para(X5,X2,X0,X1)
            & cong(X4,X2,X4,X5) )
          | ~ perp(X0,X1,X1,X4)
          | ~ cong(X4,X2,X4,X3) )
     => ( ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
          & para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
          & cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) )
        | ~ perp(X0,X1,X1,X4)
        | ~ cong(X4,X2,X4,X3) ) ),
    introduced(choice_axiom,[]) ).

fof(f339,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( cong(X1,X2,X1,sK8(X0,X1,X2,X3,X4))
        & para(sK8(X0,X1,X2,X3,X4),X2,X0,X1)
        & cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4)) )
      | ~ perp(X0,X1,X1,X4)
      | ~ cong(X4,X2,X4,X3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f301,f338]) ).

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

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

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

fof(f359,plain,
    ( ~ perp(sK25,sK27,sK24,sK27)
    & coll(sK27,sK20,sK21)
    & perp(sK27,sK26,sK20,sK21)
    & midp(sK26,sK25,sK24)
    & coll(sK25,sK23,sK24)
    & para(sK20,sK24,sK25,sK21)
    & perp(sK22,sK23,sK23,sK24)
    & circle(sK22,sK20,sK23,sK30)
    & circle(sK22,sK20,sK28,sK29)
    & midp(sK22,sK20,sK21) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f320,f358]) ).

fof(f360,plain,
    ! [X2,X0,X1] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f168]) ).

fof(f361,plain,
    ! [X2,X0,X1] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f362,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f363,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f172]) ).

fof(f364,plain,
    ! [X2,X3,X0,X1] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f365,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f175]) ).

fof(f366,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f176]) ).

fof(f367,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f177]) ).

fof(f368,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f179]) ).

fof(f369,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f370,plain,
    ! [X2,X0,X1] :
      ( midp(X2,X0,X1)
      | ~ midp(X2,X1,X0) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f371,plain,
    ! [X2,X3,X0,X1] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f184]) ).

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

fof(f452,plain,
    ! [X2,X3,X0,X1,X4] :
      ( cong(X4,X2,X4,sK8(X0,X1,X2,X3,X4))
      | ~ perp(X0,X1,X1,X4)
      | ~ cong(X4,X2,X4,X3) ),
    inference(cnf_transformation,[],[f339]) ).

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

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

fof(f476,plain,
    perp(sK22,sK23,sK23,sK24),
    inference(cnf_transformation,[],[f359]) ).

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

fof(f478,plain,
    coll(sK25,sK23,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    midp(sK26,sK25,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK27,sK26,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    coll(sK27,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    ~ perp(sK25,sK27,sK24,sK27),
    inference(cnf_transformation,[],[f359]) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(c_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_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_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_118,plain,
    ( ~ midp(X0,X1,X2)
    | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f429]) ).

cnf(c_143,plain,
    ( ~ perp(X0,X1,X1,X2)
    | ~ cong(X2,X3,X2,X4)
    | cong(X2,X3,X2,sK8(X0,X1,X3,X4,X2)) ),
    inference(cnf_transformation,[],[f452]) ).

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

cnf(c_162,negated_conjecture,
    ~ perp(sK25,sK27,sK24,sK27),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_163,negated_conjecture,
    coll(sK27,sK20,sK21),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_164,negated_conjecture,
    perp(sK27,sK26,sK20,sK21),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_165,negated_conjecture,
    midp(sK26,sK25,sK24),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_166,negated_conjecture,
    coll(sK25,sK23,sK24),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_167,negated_conjecture,
    para(sK20,sK24,sK25,sK21),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_168,negated_conjecture,
    perp(sK22,sK23,sK23,sK24),
    inference(cnf_transformation,[],[f476]) ).

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

cnf(c_177,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | midp(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_181,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_186,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_235,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_6378,plain,
    coll(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_6379,plain,
    coll(sK25,sK24,sK23),
    inference(superposition,[status(thm)],[c_166,c_49]) ).

cnf(c_6384,plain,
    coll(sK20,sK27,sK21),
    inference(superposition,[status(thm)],[c_163,c_50]) ).

cnf(c_6385,plain,
    coll(sK23,sK25,sK24),
    inference(superposition,[status(thm)],[c_166,c_50]) ).

cnf(c_6390,plain,
    midp(sK26,sK24,sK25),
    inference(superposition,[status(thm)],[c_165,c_59]) ).

cnf(c_6391,plain,
    midp(sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_171,c_59]) ).

cnf(c_6392,plain,
    coll(sK21,sK27,sK20),
    inference(superposition,[status(thm)],[c_6378,c_50]) ).

cnf(c_6403,plain,
    coll(sK21,sK20,sK27),
    inference(superposition,[status(thm)],[c_6392,c_49]) ).

cnf(c_6420,plain,
    ( ~ coll(sK27,sK20,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_6421,plain,
    ( ~ coll(sK25,sK23,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_166,c_51]) ).

cnf(c_6422,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK20,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6378,c_51]) ).

cnf(c_6423,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK23,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6379,c_51]) ).

cnf(c_6424,plain,
    ( ~ coll(sK20,sK27,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6384,c_51]) ).

cnf(c_6425,plain,
    ( ~ coll(sK23,sK25,X0)
    | coll(sK24,X0,sK23) ),
    inference(superposition,[status(thm)],[c_6385,c_51]) ).

cnf(c_6426,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6392,c_51]) ).

cnf(c_6460,plain,
    ( ~ coll(sK21,sK27,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6426]) ).

cnf(c_6462,plain,
    ( ~ coll(sK20,sK27,sK20)
    | coll(sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6424]) ).

cnf(c_6470,plain,
    coll(sK26,sK25,sK24),
    inference(superposition,[status(thm)],[c_165,c_118]) ).

cnf(c_6471,plain,
    coll(sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_171,c_118]) ).

cnf(c_6473,plain,
    coll(sK22,sK21,sK20),
    inference(superposition,[status(thm)],[c_6391,c_118]) ).

cnf(c_6486,plain,
    para(sK20,sK24,sK21,sK25),
    inference(superposition,[status(thm)],[c_167,c_52]) ).

cnf(c_6487,plain,
    ( ~ coll(sK26,sK25,X0)
    | coll(sK24,X0,sK26) ),
    inference(superposition,[status(thm)],[c_6470,c_51]) ).

cnf(c_6488,plain,
    coll(sK25,sK26,sK24),
    inference(superposition,[status(thm)],[c_6470,c_50]) ).

cnf(c_6493,plain,
    ( ~ coll(sK22,sK20,X0)
    | coll(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6471,c_51]) ).

cnf(c_6494,plain,
    coll(sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_6471,c_50]) ).

cnf(c_6506,plain,
    coll(sK21,sK22,sK20),
    inference(superposition,[status(thm)],[c_6473,c_50]) ).

cnf(c_6516,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_163,c_6420]) ).

cnf(c_6517,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK27,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6516,c_51]) ).

cnf(c_6519,plain,
    coll(sK21,sK27,sK21),
    inference(superposition,[status(thm)],[c_6516,c_49]) ).

cnf(c_6526,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_166,c_6421]) ).

cnf(c_6527,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6526,c_51]) ).

cnf(c_6529,plain,
    coll(sK24,sK25,sK24),
    inference(superposition,[status(thm)],[c_6526,c_49]) ).

cnf(c_6532,plain,
    ( ~ coll(sK24,sK24,sK20)
    | coll(sK25,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_6527]) ).

cnf(c_6535,plain,
    coll(sK25,sK24,sK26),
    inference(superposition,[status(thm)],[c_6488,c_49]) ).

cnf(c_6541,plain,
    coll(sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_6494,c_49]) ).

cnf(c_6545,plain,
    ( ~ coll(sK21,sK27,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6519,c_51]) ).

cnf(c_6555,plain,
    coll(sK20,sK20,sK27),
    inference(superposition,[status(thm)],[c_6378,c_6422]) ).

cnf(c_6560,plain,
    para(sK25,sK21,sK20,sK24),
    inference(superposition,[status(thm)],[c_167,c_53]) ).

cnf(c_6561,plain,
    para(sK21,sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_6486,c_53]) ).

cnf(c_6566,plain,
    perp(sK27,sK26,sK21,sK20),
    inference(superposition,[status(thm)],[c_164,c_55]) ).

cnf(c_6567,plain,
    perp(sK22,sK23,sK24,sK23),
    inference(superposition,[status(thm)],[c_168,c_55]) ).

cnf(c_6572,plain,
    perp(sK20,sK21,sK27,sK26),
    inference(superposition,[status(thm)],[c_164,c_56]) ).

cnf(c_6573,plain,
    perp(sK23,sK24,sK22,sK23),
    inference(superposition,[status(thm)],[c_168,c_56]) ).

cnf(c_6586,plain,
    coll(sK21,sK20,sK22),
    inference(superposition,[status(thm)],[c_6506,c_49]) ).

cnf(c_6591,plain,
    coll(sK25,sK24,sK24),
    inference(superposition,[status(thm)],[c_6529,c_50]) ).

cnf(c_6596,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK26,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6535,c_51]) ).

cnf(c_6603,plain,
    para(sK25,sK21,sK24,sK20),
    inference(superposition,[status(thm)],[c_6560,c_52]) ).

cnf(c_6606,plain,
    perp(sK24,sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_6567,c_56]) ).

cnf(c_6609,plain,
    perp(sK20,sK21,sK26,sK27),
    inference(superposition,[status(thm)],[c_6572,c_55]) ).

cnf(c_6611,plain,
    perp(sK23,sK24,sK23,sK22),
    inference(superposition,[status(thm)],[c_6573,c_55]) ).

cnf(c_6612,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK27,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6555,c_51]) ).

cnf(c_6614,plain,
    coll(sK20,sK27,sK20),
    inference(superposition,[status(thm)],[c_6555,c_49]) ).

cnf(c_6626,plain,
    coll(sK23,sK23,sK25),
    inference(superposition,[status(thm)],[c_6379,c_6423]) ).

cnf(c_6650,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6541,c_51]) ).

cnf(c_6655,plain,
    ( ~ coll(sK20,sK21,sK20)
    | coll(sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6650]) ).

cnf(c_6668,plain,
    ( ~ coll(sK21,sK20,X0)
    | coll(sK22,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6586,c_51]) ).

cnf(c_6673,plain,
    ( ~ coll(sK23,sK23,X0)
    | coll(sK25,X0,sK23) ),
    inference(superposition,[status(thm)],[c_6626,c_51]) ).

cnf(c_6675,plain,
    coll(sK23,sK25,sK23),
    inference(superposition,[status(thm)],[c_6626,c_49]) ).

cnf(c_6691,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6384,c_6424]) ).

cnf(c_6707,plain,
    coll(sK20,sK20,sK21),
    inference(superposition,[status(thm)],[c_6392,c_6426]) ).

cnf(c_6708,plain,
    coll(sK20,sK21,sK21),
    inference(superposition,[status(thm)],[c_6519,c_6426]) ).

cnf(c_6725,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6591,c_51]) ).

cnf(c_6731,plain,
    ( ~ coll(sK25,sK24,sK20)
    | coll(sK24,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_6725]) ).

cnf(c_6732,plain,
    ( ~ coll(sK20,sK27,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6614,c_51]) ).

cnf(c_6733,plain,
    coll(sK27,sK20,sK20),
    inference(superposition,[status(thm)],[c_6614,c_50]) ).

cnf(c_6735,plain,
    coll(sK21,sK20,sK20),
    inference(superposition,[status(thm)],[c_6614,c_6424]) ).

cnf(c_6738,plain,
    ( ~ coll(sK20,sK27,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6732]) ).

cnf(c_6745,plain,
    ( ~ coll(sK23,sK25,X0)
    | coll(sK23,X0,sK23) ),
    inference(superposition,[status(thm)],[c_6675,c_51]) ).

cnf(c_6751,plain,
    ( ~ coll(sK23,sK25,sK20)
    | coll(sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_6745]) ).

cnf(c_6775,plain,
    coll(sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_6471,c_6493]) ).

cnf(c_6776,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK22,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6775,c_51]) ).

cnf(c_6785,plain,
    coll(sK27,sK27,sK21),
    inference(superposition,[status(thm)],[c_6516,c_6517]) ).

cnf(c_6787,plain,
    coll(sK27,sK22,sK21),
    inference(superposition,[status(thm)],[c_6775,c_6517]) ).

cnf(c_6789,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK22,sK20,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_6790,plain,
    ( ~ coll(sK27,sK27,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6785,c_51]) ).

cnf(c_6792,plain,
    coll(sK27,sK21,sK27),
    inference(superposition,[status(thm)],[c_6785,c_49]) ).

cnf(c_6836,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6707,c_51]) ).

cnf(c_6838,plain,
    coll(sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_6707,c_49]) ).

cnf(c_6841,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6708,c_51]) ).

cnf(c_6862,plain,
    ( ~ midp(sK26,X0,X1)
    | ~ midp(sK26,sK25,sK24)
    | para(sK25,X0,sK24,X1) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_6902,plain,
    coll(sK27,sK21,sK22),
    inference(superposition,[status(thm)],[c_6787,c_49]) ).

cnf(c_6909,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6792,c_51]) ).

cnf(c_6915,plain,
    ( ~ coll(sK27,sK21,sK20)
    | coll(sK27,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_6909]) ).

cnf(c_6950,plain,
    ( ~ midp(X0,sK25,X1)
    | para(sK26,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_165,c_93]) ).

cnf(c_6951,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK22,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_171,c_93]) ).

cnf(c_6953,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK22,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_6391,c_93]) ).

cnf(c_7017,plain,
    ( ~ midp(X0,sK25,X1)
    | para(sK24,X1,sK26,X0) ),
    inference(superposition,[status(thm)],[c_6950,c_53]) ).

cnf(c_7025,plain,
    ( ~ para(sK25,X0,sK24,X1)
    | ~ para(sK25,X1,sK24,X0)
    | ~ midp(sK26,sK25,sK24)
    | midp(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_7027,plain,
    ( ~ para(sK20,X0,sK21,X1)
    | ~ para(sK20,X1,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK22,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_7033,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK21,X1,sK22,X0) ),
    inference(superposition,[status(thm)],[c_6951,c_53]) ).

cnf(c_7130,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK25,X0,sK24,X1) ),
    inference(superposition,[status(thm)],[c_165,c_112]) ).

cnf(c_7131,plain,
    ( ~ midp(sK22,X0,X1)
    | para(sK20,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_171,c_112]) ).

cnf(c_7132,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK24,X0,sK25,X1) ),
    inference(superposition,[status(thm)],[c_6390,c_112]) ).

cnf(c_7133,plain,
    ( ~ midp(sK22,X0,X1)
    | para(sK21,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_6391,c_112]) ).

cnf(c_7175,plain,
    ( ~ midp(X0,sK22,sK24)
    | cong(sK22,X0,sK23,X0) ),
    inference(superposition,[status(thm)],[c_168,c_101]) ).

cnf(c_7203,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6838,c_51]) ).

cnf(c_7229,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK24,X1,sK25,X0) ),
    inference(superposition,[status(thm)],[c_7130,c_53]) ).

cnf(c_7240,plain,
    ( ~ midp(sK22,X0,X1)
    | para(sK21,X1,sK20,X0) ),
    inference(superposition,[status(thm)],[c_7131,c_53]) ).

cnf(c_7241,plain,
    ( ~ midp(sK22,X0,X1)
    | para(sK20,X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_7131,c_52]) ).

cnf(c_7246,plain,
    ( ~ midp(sK22,sK20,sK20)
    | para(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_7241]) ).

cnf(c_7254,plain,
    ( ~ midp(X0,sK22,sK24)
    | cong(sK22,X0,X0,sK23) ),
    inference(superposition,[status(thm)],[c_7175,c_71]) ).

cnf(c_7294,plain,
    ( ~ perp(sK22,sK23,sK23,sK24)
    | ~ coll(sK24,X0,X1)
    | perp(sK16(sK22,sK24,sK23,X0,X1),sK22,X0,X1) ),
    inference(instantiation,[status(thm)],[c_155]) ).

cnf(c_7295,plain,
    ( ~ perp(sK22,sK23,sK23,sK24)
    | ~ coll(sK24,sK20,sK20)
    | perp(sK16(sK22,sK24,sK23,sK20,sK20),sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7294]) ).

cnf(c_7348,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK27,sK20,sK27,sK21) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_7353,plain,
    ( ~ midp(sK24,sK22,sK23)
    | cong(sK23,sK22,sK23,sK23) ),
    inference(superposition,[status(thm)],[c_6573,c_104]) ).

cnf(c_7355,plain,
    ( ~ midp(sK23,sK22,sK23)
    | cong(sK24,sK22,sK24,sK23) ),
    inference(superposition,[status(thm)],[c_6606,c_104]) ).

cnf(c_7403,plain,
    ( ~ para(sK25,sK21,X0,X1)
    | para(sK20,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_167,c_54]) ).

cnf(c_7521,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK27,sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_164,c_57]) ).

cnf(c_7522,plain,
    ( ~ perp(sK23,sK24,X0,X1)
    | para(sK22,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_168,c_57]) ).

cnf(c_7525,plain,
    ( ~ perp(sK27,sK26,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_6572,c_57]) ).

cnf(c_7526,plain,
    ( ~ perp(sK22,sK23,X0,X1)
    | para(sK23,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_6573,c_57]) ).

cnf(c_7660,plain,
    ( ~ para(sK24,X0,sK25,X1)
    | ~ para(sK24,X1,sK25,X0)
    | ~ midp(sK26,sK24,sK25)
    | midp(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_7661,plain,
    ( ~ para(sK24,sK20,sK25,sK20)
    | ~ midp(sK26,sK24,sK25)
    | midp(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7660]) ).

cnf(c_7698,plain,
    ( ~ coll(sK27,sK20,sK21)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK27,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_7348,c_116]) ).

cnf(c_7699,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK27,sK21,sK27,sK20) ),
    inference(superposition,[status(thm)],[c_7348,c_72]) ).

cnf(c_7705,plain,
    ( ~ midp(sK26,sK20,sK21)
    | midp(sK27,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_7698,c_163]) ).

cnf(c_7730,plain,
    para(sK20,sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_6560,c_7403]) ).

cnf(c_7731,plain,
    para(sK20,sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_6603,c_7403]) ).

cnf(c_7732,plain,
    ( ~ midp(sK26,sK21,X0)
    | para(sK20,sK24,sK24,X0) ),
    inference(superposition,[status(thm)],[c_7130,c_7403]) ).

cnf(c_7742,plain,
    para(sK27,sK26,sK27,sK26),
    inference(superposition,[status(thm)],[c_6572,c_7521]) ).

cnf(c_7743,plain,
    para(sK27,sK26,sK26,sK27),
    inference(superposition,[status(thm)],[c_6609,c_7521]) ).

cnf(c_7748,plain,
    para(sK22,sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_6573,c_7522]) ).

cnf(c_7749,plain,
    para(sK22,sK23,sK23,sK22),
    inference(superposition,[status(thm)],[c_6611,c_7522]) ).

cnf(c_7769,plain,
    ( ~ perp(sK21,X0,X1,X2)
    | ~ midp(X3,sK20,X0)
    | perp(sK22,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6951,c_58]) ).

cnf(c_7782,plain,
    ( ~ perp(sK20,X0,X1,X2)
    | ~ midp(sK22,X0,X3)
    | perp(sK21,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_7240,c_58]) ).

cnf(c_7843,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ midp(sK22,sK20,sK20)
    | perp(sK21,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_7782]) ).

cnf(c_7862,plain,
    ( ~ midp(sK22,sK21,sK20)
    | cong(sK22,sK21,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_7897,plain,
    ( ~ cong(sK27,sK20,sK27,X0)
    | ~ midp(sK26,sK20,sK21)
    | circle(sK27,sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_7348,c_60]) ).

cnf(c_7923,plain,
    ( ~ cong(sK27,sK21,X0,X1)
    | ~ midp(sK26,sK20,sK21)
    | cong(sK27,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_7348,c_73]) ).

cnf(c_7941,plain,
    ( ~ coll(sK27,sK21,X0)
    | coll(sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_6902,c_51]) ).

cnf(c_7993,plain,
    coll(sK20,sK24,sK24),
    inference(superposition,[status(thm)],[c_7730,c_115]) ).

cnf(c_7996,plain,
    para(sK24,sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_7731,c_53]) ).

cnf(c_8008,plain,
    coll(sK27,sK26,sK26),
    inference(superposition,[status(thm)],[c_7742,c_115]) ).

cnf(c_8011,plain,
    para(sK26,sK27,sK27,sK26),
    inference(superposition,[status(thm)],[c_7743,c_53]) ).

cnf(c_8023,plain,
    coll(sK22,sK23,sK23),
    inference(superposition,[status(thm)],[c_7748,c_115]) ).

cnf(c_8026,plain,
    para(sK23,sK22,sK22,sK23),
    inference(superposition,[status(thm)],[c_7749,c_53]) ).

cnf(c_8040,plain,
    ( ~ midp(sK22,X0,X1)
    | para(X1,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_7241,c_53]) ).

cnf(c_8053,plain,
    ( ~ midp(sK22,sK20,sK20)
    | para(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_8040]) ).

cnf(c_8062,plain,
    ( ~ cong(sK22,sK21,X0,X1)
    | ~ cong(sK22,sK20,sK22,sK21)
    | cong(sK22,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_8191,plain,
    ( ~ coll(sK22,sK22,sK23)
    | ~ midp(sK22,sK22,sK24)
    | midp(sK22,sK22,sK23) ),
    inference(superposition,[status(thm)],[c_7254,c_116]) ).

cnf(c_8312,plain,
    ( ~ coll(sK23,sK22,sK23)
    | ~ midp(sK24,sK22,sK23)
    | midp(sK23,sK22,sK23) ),
    inference(superposition,[status(thm)],[c_7353,c_116]) ).

cnf(c_9105,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_9118,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9105]) ).

cnf(c_9127,plain,
    coll(sK24,sK20,sK24),
    inference(superposition,[status(thm)],[c_7993,c_50]) ).

cnf(c_9137,plain,
    coll(sK26,sK27,sK26),
    inference(superposition,[status(thm)],[c_8008,c_50]) ).

cnf(c_9183,plain,
    coll(sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_8023,c_50]) ).

cnf(c_9202,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_164,c_7525]) ).

cnf(c_9203,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6566,c_7525]) ).

cnf(c_9209,plain,
    ( ~ perp(sK21,sK20,X0,X1)
    | perp(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_9203,c_58]) ).

cnf(c_9218,plain,
    ( ~ perp(sK21,sK20,sK20,sK20)
    | perp(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9209]) ).

cnf(c_9223,plain,
    para(sK23,sK24,sK23,sK24),
    inference(superposition,[status(thm)],[c_168,c_7526]) ).

cnf(c_9252,plain,
    ( ~ coll(sK24,X0,sK25)
    | ~ midp(sK20,X0,sK21)
    | midp(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6486,c_94]) ).

cnf(c_9254,plain,
    ( ~ coll(sK25,X0,sK24)
    | ~ midp(sK21,X0,sK20)
    | midp(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6561,c_94]) ).

cnf(c_9258,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK26,X0,X2)
    | ~ midp(sK25,X1,sK24)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7130,c_94]) ).

cnf(c_9259,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK22,X0,X2)
    | ~ midp(sK20,X1,sK21)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7131,c_94]) ).

cnf(c_9261,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK21,X2)
    | ~ midp(sK22,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6953,c_94]) ).

cnf(c_9262,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X2,sK25,X0)
    | ~ midp(sK24,X1,sK26)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7017,c_94]) ).

cnf(c_9264,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X2,sK20,X0)
    | ~ midp(sK21,X1,sK22)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7033,c_94]) ).

cnf(c_9266,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK26,X0,X2)
    | ~ midp(sK24,X1,sK25)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7132,c_94]) ).

cnf(c_9267,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK22,X0,X2)
    | ~ midp(sK21,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7133,c_94]) ).

cnf(c_9268,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK26,X2,X0)
    | ~ midp(sK24,X1,sK25)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7229,c_94]) ).

cnf(c_9270,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK22,X2,X0)
    | ~ midp(sK21,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_7240,c_94]) ).

cnf(c_9271,plain,
    ( ~ coll(X0,X1,sK21)
    | ~ midp(sK20,X1,X2)
    | ~ midp(sK22,X0,X2)
    | midp(X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_7241,c_94]) ).

cnf(c_9272,plain,
    ( ~ coll(sK24,X0,sK24)
    | ~ midp(sK20,X0,sK20)
    | midp(sK24,X0,sK24) ),
    inference(superposition,[status(thm)],[c_7730,c_94]) ).

cnf(c_9274,plain,
    ( ~ coll(sK24,X0,X1)
    | ~ midp(sK20,X0,sK24)
    | ~ midp(sK26,sK21,X1)
    | midp(sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_7732,c_94]) ).

cnf(c_9276,plain,
    ( ~ coll(sK26,X0,sK26)
    | ~ midp(sK27,X0,sK27)
    | midp(sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_7742,c_94]) ).

cnf(c_9284,plain,
    ( ~ coll(sK21,X0,sK20)
    | ~ midp(sK20,X0,sK21)
    | midp(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_9203,c_94]) ).

cnf(c_9285,plain,
    ( ~ coll(sK24,X0,sK24)
    | ~ midp(sK23,X0,sK23)
    | midp(sK24,X0,sK24) ),
    inference(superposition,[status(thm)],[c_9223,c_94]) ).

cnf(c_9411,plain,
    ( ~ coll(sK21,sK20,sK20)
    | ~ midp(sK20,sK20,sK21)
    | midp(sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9284]) ).

cnf(c_9420,plain,
    ( ~ coll(sK24,sK20,sK24)
    | ~ midp(sK20,sK20,sK20)
    | midp(sK24,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_9272]) ).

cnf(c_9422,plain,
    ( ~ coll(sK25,sK20,sK24)
    | ~ midp(sK21,sK20,sK20)
    | midp(sK25,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_9254]) ).

cnf(c_9424,plain,
    ( ~ coll(sK24,sK20,sK25)
    | ~ midp(sK20,sK20,sK21)
    | midp(sK24,sK20,sK25) ),
    inference(instantiation,[status(thm)],[c_9252]) ).

cnf(c_9429,plain,
    ( ~ coll(sK20,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | ~ midp(sK22,sK20,sK20)
    | midp(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_9271]) ).

cnf(c_10711,plain,
    ( ~ para(sK22,X0,sK21,X1)
    | ~ midp(X1,sK20,X0)
    | ~ midp(X2,sK22,sK21)
    | midp(X2,X1,X0) ),
    inference(superposition,[status(thm)],[c_6951,c_113]) ).

cnf(c_10713,plain,
    ( ~ para(sK20,X0,sK21,X1)
    | ~ midp(sK22,X1,X0)
    | ~ midp(X2,sK20,sK21)
    | midp(X2,X1,X0) ),
    inference(superposition,[status(thm)],[c_7131,c_113]) ).

cnf(c_10732,plain,
    ( ~ para(sK22,sK23,sK22,sK23)
    | ~ midp(X0,sK22,sK22)
    | midp(X0,sK23,sK23) ),
    inference(superposition,[status(thm)],[c_7748,c_113]) ).

cnf(c_10737,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_9202,c_113]) ).

cnf(c_10739,plain,
    ( ~ para(sK23,sK24,sK23,sK24)
    | ~ midp(X0,sK23,sK23)
    | midp(X0,sK24,sK24) ),
    inference(superposition,[status(thm)],[c_9223,c_113]) ).

cnf(c_10744,plain,
    ( ~ midp(X0,sK23,sK23)
    | midp(X0,sK24,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10739,c_9223]) ).

cnf(c_10750,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10737,c_9202]) ).

cnf(c_10762,plain,
    ( ~ midp(X0,sK22,sK22)
    | midp(X0,sK23,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10732,c_7748]) ).

cnf(c_10872,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_10750]) ).

cnf(c_10920,plain,
    ( ~ coll(X0,X1,X2)
    | ~ coll(X0,X1,sK24)
    | coll(sK24,X2,X0) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_10921,plain,
    ( ~ coll(sK20,sK20,sK24)
    | ~ coll(sK20,sK20,sK20)
    | coll(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_10920]) ).

cnf(c_11035,plain,
    coll(sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_9127,c_49]) ).

cnf(c_11036,plain,
    ( ~ midp(sK23,sK20,sK23)
    | midp(sK24,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_9127,c_9285]) ).

cnf(c_11050,plain,
    ( ~ coll(sK26,sK27,X0)
    | coll(sK26,X0,sK26) ),
    inference(superposition,[status(thm)],[c_9137,c_51]) ).

cnf(c_11058,plain,
    coll(sK23,sK23,sK22),
    inference(superposition,[status(thm)],[c_9183,c_49]) ).

cnf(c_11751,plain,
    ( ~ coll(sK24,X0,X1)
    | perp(sK16(sK22,sK24,sK23,X0,X1),sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_168,c_155]) ).

cnf(c_11774,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_11035,c_51]) ).

cnf(c_11777,plain,
    coll(sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_11035,c_6527]) ).

cnf(c_11780,plain,
    ( ~ coll(sK24,sK24,sK20)
    | coll(sK20,sK20,sK24) ),
    inference(instantiation,[status(thm)],[c_11774]) ).

cnf(c_11825,plain,
    ( ~ coll(sK24,X0,X1)
    | perp(X0,X1,sK16(sK22,sK24,sK23,X0,X1),sK22) ),
    inference(superposition,[status(thm)],[c_11751,c_56]) ).

cnf(c_11876,plain,
    ( ~ perp(sK16(sK22,sK24,sK23,X0,X1),sK22,X2,X3)
    | ~ coll(sK24,X0,X1)
    | para(X0,X1,X2,X3) ),
    inference(superposition,[status(thm)],[c_11825,c_57]) ).

cnf(c_11931,plain,
    ( ~ perp(sK16(sK22,sK24,sK23,sK20,sK20),sK22,sK20,sK20)
    | ~ coll(sK24,sK20,sK20)
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_11876]) ).

cnf(c_12183,plain,
    ( ~ midp(sK26,sK20,sK21)
    | circle(sK27,sK20,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7348,c_7897]) ).

cnf(c_12202,plain,
    coll(sK22,sK22,sK20),
    inference(superposition,[status(thm)],[c_6541,c_6650]) ).

cnf(c_12425,plain,
    ( ~ cong(sK24,X0,sK24,X1)
    | cong(sK24,X0,sK24,sK8(sK22,sK23,X0,X1,sK24)) ),
    inference(superposition,[status(thm)],[c_168,c_143]) ).

cnf(c_12623,plain,
    coll(sK25,sK24,sK20),
    inference(superposition,[status(thm)],[c_11777,c_49]) ).

cnf(c_12634,plain,
    ( ~ cong(sK24,sK8(sK22,sK23,X0,X1,sK24),X2,X3)
    | ~ cong(sK24,X0,sK24,X1)
    | cong(sK24,X0,X2,X3) ),
    inference(superposition,[status(thm)],[c_12425,c_73]) ).

cnf(c_12635,plain,
    ( ~ cong(sK24,X0,sK24,X1)
    | cong(sK24,sK8(sK22,sK23,X0,X1,sK24),sK24,X0) ),
    inference(superposition,[status(thm)],[c_12425,c_72]) ).

cnf(c_12679,plain,
    ( ~ coll(sK27,sK20,sK21)
    | ~ midp(sK26,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_12183,c_102]) ).

cnf(c_12680,plain,
    ( ~ midp(sK26,sK20,sK21)
    | perp(sK20,sK21,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_12679,c_163]) ).

cnf(c_12702,plain,
    ( ~ midp(sK26,sK20,sK21)
    | para(sK27,sK26,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_12680,c_7521]) ).

cnf(c_12788,plain,
    ( ~ midp(sK26,sK20,sK21)
    | para(sK21,sK21,sK27,sK26) ),
    inference(superposition,[status(thm)],[c_12702,c_53]) ).

cnf(c_13071,plain,
    coll(sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_12202,c_49]) ).

cnf(c_13110,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK27,sK20,sK27,sK20) ),
    inference(superposition,[status(thm)],[c_7699,c_7923]) ).

cnf(c_13614,plain,
    coll(sK26,sK20,sK25),
    inference(superposition,[status(thm)],[c_12623,c_6596]) ).

cnf(c_13615,plain,
    coll(sK23,sK20,sK25),
    inference(superposition,[status(thm)],[c_12623,c_6423]) ).

cnf(c_14841,plain,
    ( ~ coll(sK22,sK20,X0)
    | coll(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_13071,c_51]) ).

cnf(c_14844,plain,
    coll(sK21,sK22,sK22),
    inference(superposition,[status(thm)],[c_13071,c_6493]) ).

cnf(c_15648,plain,
    coll(sK25,sK22,sK23),
    inference(superposition,[status(thm)],[c_11058,c_6673]) ).

cnf(c_15997,plain,
    ( ~ midp(sK25,sK20,sK24)
    | ~ midp(sK26,sK27,sK21)
    | midp(sK27,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_163,c_9258]) ).

cnf(c_16023,plain,
    ( ~ midp(sK25,sK22,sK24)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK20,sK22,sK21) ),
    inference(superposition,[status(thm)],[c_6494,c_9258]) ).

cnf(c_16549,plain,
    ( ~ para(sK25,sK20,sK24,sK21)
    | ~ para(sK25,sK21,sK24,sK20)
    | ~ midp(sK26,sK25,sK24)
    | midp(sK26,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_7025]) ).

cnf(c_17348,plain,
    coll(sK26,sK25,sK20),
    inference(superposition,[status(thm)],[c_13614,c_49]) ).

cnf(c_17369,plain,
    coll(sK23,sK25,sK20),
    inference(superposition,[status(thm)],[c_13615,c_49]) ).

cnf(c_17982,plain,
    ( ~ midp(sK25,sK22,sK24)
    | ~ midp(sK26,sK21,sK22)
    | midp(sK21,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_14844,c_9258]) ).

cnf(c_18019,plain,
    coll(sK25,sK23,sK22),
    inference(superposition,[status(thm)],[c_15648,c_49]) ).

cnf(c_18085,plain,
    ( ~ midp(sK20,sK20,sK21)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK21,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_6735,c_9259]) ).

cnf(c_18103,plain,
    ( ~ midp(sK20,sK22,sK21)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK21,sK22,sK20) ),
    inference(superposition,[status(thm)],[c_6506,c_9259]) ).

cnf(c_18107,plain,
    ( ~ midp(sK20,sK21,sK21)
    | ~ midp(sK22,sK21,sK20)
    | midp(sK21,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_6691,c_9259]) ).

cnf(c_18112,plain,
    ( ~ midp(sK20,sK21,sK21)
    | ~ midp(sK22,sK20,sK22)
    | midp(sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_6541,c_9259]) ).

cnf(c_18505,plain,
    ( ~ midp(sK20,sK21,sK21)
    | midp(sK21,sK21,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18107,c_6391]) ).

cnf(c_18517,plain,
    ( ~ midp(sK20,sK22,sK21)
    | midp(sK21,sK22,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18103,c_6391]) ).

cnf(c_18553,plain,
    ( ~ midp(sK20,sK20,sK21)
    | midp(sK21,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_18085,c_6391]) ).

cnf(c_18786,plain,
    ( ~ midp(sK26,sK20,X0)
    | ~ midp(sK26,sK25,sK24)
    | para(sK25,sK20,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_6862]) ).

cnf(c_18830,plain,
    ( ~ midp(sK26,X0,X1)
    | midp(sK26,X1,X0) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_18989,plain,
    midp(sK21,sK21,sK20),
    inference(global_subsumption_just,[status(thm)],[c_18505,c_168,c_177,c_181,c_235,c_6614,c_6738,c_7295,c_9118,c_10872,c_10921,c_11035,c_11780,c_11931,c_18505]) ).

cnf(c_19946,plain,
    ( ~ perp(X0,sK21,sK20,X0)
    | perp(sK20,X0,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_19947,plain,
    ( ~ perp(sK20,sK21,sK20,sK20)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_19946]) ).

cnf(c_20453,plain,
    ( ~ cong(sK22,sK21,sK22,X0)
    | ~ cong(sK22,sK20,sK22,sK21)
    | cong(sK22,sK20,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_8062]) ).

cnf(c_20455,plain,
    ( ~ cong(sK22,sK20,sK22,sK21)
    | ~ cong(sK22,sK21,sK22,sK20)
    | cong(sK22,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_20453]) ).

cnf(c_20661,plain,
    coll(sK23,sK25,sK22),
    inference(superposition,[status(thm)],[c_18019,c_50]) ).

cnf(c_20663,plain,
    coll(sK24,sK22,sK25),
    inference(superposition,[status(thm)],[c_18019,c_6421]) ).

cnf(c_20862,plain,
    ( ~ coll(sK24,sK22,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_20663,c_51]) ).

cnf(c_20863,plain,
    coll(sK22,sK24,sK25),
    inference(superposition,[status(thm)],[c_20663,c_50]) ).

cnf(c_20864,plain,
    coll(sK24,sK25,sK22),
    inference(superposition,[status(thm)],[c_20663,c_49]) ).

cnf(c_20865,plain,
    ( ~ midp(sK20,sK22,sK21)
    | midp(sK24,sK22,sK25) ),
    inference(superposition,[status(thm)],[c_20663,c_9252]) ).

cnf(c_20980,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(X1,sK20,X0)
    | ~ midp(X2,sK22,sK21)
    | midp(X2,X1,X0) ),
    inference(superposition,[status(thm)],[c_6951,c_10711]) ).

cnf(c_21362,plain,
    ( ~ midp(X0,sK20,sK21)
    | ~ midp(sK22,sK25,sK24)
    | midp(X0,sK25,sK24) ),
    inference(superposition,[status(thm)],[c_6486,c_10713]) ).

cnf(c_22670,plain,
    coll(sK24,sK22,sK23),
    inference(superposition,[status(thm)],[c_20661,c_6425]) ).

cnf(c_22805,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_20863,c_49]) ).

cnf(c_22826,plain,
    coll(sK25,sK24,sK22),
    inference(superposition,[status(thm)],[c_20864,c_50]) ).

cnf(c_23920,plain,
    ( ~ cong(sK24,X0,sK24,X1)
    | cong(sK24,X0,sK24,X0) ),
    inference(superposition,[status(thm)],[c_12635,c_12634]) ).

cnf(c_24052,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK25,X1,sK24)
    | para(sK25,X0,sK24,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_24054,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK20,X1,sK21)
    | para(sK20,X0,sK21,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_24060,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK24,X1,sK25)
    | para(sK24,X0,sK25,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_24061,plain,
    ( ~ midp(sK24,sK20,sK25)
    | ~ midp(sK20,sK20,sK20)
    | para(sK24,sK20,sK25,sK20) ),
    inference(instantiation,[status(thm)],[c_24060]) ).

cnf(c_24438,plain,
    ( ~ cong(sK22,X0,sK22,X1)
    | ~ coll(sK22,X0,X1)
    | midp(sK22,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_24439,plain,
    ( ~ cong(sK22,sK20,sK22,sK20)
    | ~ coll(sK22,sK20,sK20)
    | midp(sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_24438]) ).

cnf(c_24452,plain,
    coll(sK25,sK22,sK24),
    inference(superposition,[status(thm)],[c_22805,c_50]) ).

cnf(c_24474,plain,
    coll(sK26,sK22,sK25),
    inference(superposition,[status(thm)],[c_22826,c_6596]) ).

cnf(c_25864,plain,
    coll(sK26,sK25,sK22),
    inference(superposition,[status(thm)],[c_24474,c_49]) ).

cnf(c_26182,plain,
    ( ~ para(sK25,sK27,X0,X1)
    | ~ perp(X0,X1,sK24,sK27)
    | perp(sK25,sK27,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_27226,plain,
    coll(sK24,sK22,sK26),
    inference(superposition,[status(thm)],[c_25864,c_6487]) ).

cnf(c_29343,plain,
    para(sK24,sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_7996,c_52]) ).

cnf(c_29392,plain,
    para(sK26,sK27,sK26,sK27),
    inference(superposition,[status(thm)],[c_8011,c_52]) ).

cnf(c_29423,plain,
    para(sK23,sK22,sK23,sK22),
    inference(superposition,[status(thm)],[c_8026,c_52]) ).

cnf(c_29783,plain,
    ( ~ para(sK24,sK20,sK24,sK20)
    | ~ midp(X0,sK24,sK24)
    | midp(X0,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_29343,c_113]) ).

cnf(c_29789,plain,
    coll(sK24,sK20,sK20),
    inference(superposition,[status(thm)],[c_29343,c_115]) ).

cnf(c_29799,plain,
    ( ~ midp(X0,sK24,sK24)
    | midp(X0,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_29783,c_29343]) ).

cnf(c_29846,plain,
    coll(sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_29789,c_50]) ).

cnf(c_29874,plain,
    coll(sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_29846,c_49]) ).

cnf(c_29896,plain,
    coll(sK21,sK24,sK20),
    inference(superposition,[status(thm)],[c_29874,c_6836]) ).

cnf(c_29897,plain,
    coll(sK27,sK24,sK20),
    inference(superposition,[status(thm)],[c_29874,c_6612]) ).

cnf(c_29922,plain,
    coll(sK21,sK20,sK24),
    inference(superposition,[status(thm)],[c_29896,c_49]) ).

cnf(c_30064,plain,
    coll(sK20,sK21,sK24),
    inference(superposition,[status(thm)],[c_29922,c_50]) ).

cnf(c_30068,plain,
    coll(sK22,sK24,sK21),
    inference(superposition,[status(thm)],[c_29922,c_6668]) ).

cnf(c_30210,plain,
    coll(sK22,sK24,sK20),
    inference(superposition,[status(thm)],[c_30064,c_6650]) ).

cnf(c_30232,plain,
    coll(sK27,sK20,sK24),
    inference(superposition,[status(thm)],[c_29897,c_49]) ).

cnf(c_30496,plain,
    coll(sK24,sK22,sK21),
    inference(superposition,[status(thm)],[c_30068,c_50]) ).

cnf(c_30636,plain,
    coll(sK21,sK24,sK27),
    inference(superposition,[status(thm)],[c_30232,c_6420]) ).

cnf(c_30764,plain,
    coll(sK22,sK20,sK24),
    inference(superposition,[status(thm)],[c_30210,c_49]) ).

cnf(c_30876,plain,
    ( ~ coll(sK21,sK24,X0)
    | coll(sK27,X0,sK21) ),
    inference(superposition,[status(thm)],[c_30636,c_51]) ).

cnf(c_30981,plain,
    midp(sK24,sK20,sK24),
    inference(global_subsumption_just,[status(thm)],[c_11036,c_168,c_177,c_181,c_235,c_6614,c_6738,c_7295,c_9118,c_9127,c_9420,c_10921,c_11035,c_11780,c_11931]) ).

cnf(c_30986,plain,
    midp(sK24,sK24,sK20),
    inference(superposition,[status(thm)],[c_30981,c_59]) ).

cnf(c_31219,plain,
    coll(sK20,sK22,sK24),
    inference(superposition,[status(thm)],[c_30764,c_50]) ).

cnf(c_31408,plain,
    coll(sK25,sK21,sK24),
    inference(superposition,[status(thm)],[c_30496,c_20862]) ).

cnf(c_31467,plain,
    ( ~ midp(sK24,X0,X1)
    | para(sK24,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_30986,c_112]) ).

cnf(c_31476,plain,
    ( ~ midp(sK24,sK20,sK20)
    | para(sK24,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_31467]) ).

cnf(c_31574,plain,
    coll(sK25,sK24,sK21),
    inference(superposition,[status(thm)],[c_31408,c_49]) ).

cnf(c_31699,plain,
    coll(sK27,sK22,sK27),
    inference(superposition,[status(thm)],[c_6902,c_6909]) ).

cnf(c_31724,plain,
    coll(sK24,sK21,sK25),
    inference(superposition,[status(thm)],[c_31574,c_6725]) ).

cnf(c_31725,plain,
    coll(sK26,sK21,sK25),
    inference(superposition,[status(thm)],[c_31574,c_6596]) ).

cnf(c_31726,plain,
    coll(sK23,sK21,sK25),
    inference(superposition,[status(thm)],[c_31574,c_6423]) ).

cnf(c_31808,plain,
    ( ~ coll(sK27,X0,sK27)
    | ~ midp(sK26,X0,sK26)
    | midp(sK27,X0,sK27) ),
    inference(superposition,[status(thm)],[c_29392,c_94]) ).

cnf(c_31813,plain,
    coll(sK26,sK27,sK27),
    inference(superposition,[status(thm)],[c_29392,c_115]) ).

cnf(c_31821,plain,
    ( ~ coll(sK27,sK20,sK27)
    | ~ midp(sK26,sK20,sK26)
    | midp(sK27,sK20,sK27) ),
    inference(instantiation,[status(thm)],[c_31808]) ).

cnf(c_31835,plain,
    coll(sK27,sK26,sK27),
    inference(superposition,[status(thm)],[c_31813,c_50]) ).

cnf(c_31961,plain,
    ( ~ midp(sK25,sK22,sK24)
    | ~ midp(sK26,sK27,sK27)
    | midp(sK27,sK22,sK27) ),
    inference(superposition,[status(thm)],[c_31699,c_9258]) ).

cnf(c_32034,plain,
    coll(sK23,sK25,sK21),
    inference(superposition,[status(thm)],[c_31726,c_49]) ).

cnf(c_32267,plain,
    coll(sK27,sK27,sK26),
    inference(superposition,[status(thm)],[c_31835,c_49]) ).

cnf(c_32406,plain,
    ( ~ midp(sK25,sK21,sK24)
    | ~ midp(sK26,sK24,sK25)
    | midp(sK24,sK21,sK25) ),
    inference(superposition,[status(thm)],[c_31724,c_9258]) ).

cnf(c_32412,plain,
    ( ~ midp(sK20,sK21,sK21)
    | midp(sK24,sK21,sK25) ),
    inference(superposition,[status(thm)],[c_31724,c_9252]) ).

cnf(c_32423,plain,
    ( ~ midp(sK25,sK21,sK24)
    | midp(sK24,sK21,sK25) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_32406,c_6390]) ).

cnf(c_32435,plain,
    coll(sK26,sK25,sK21),
    inference(superposition,[status(thm)],[c_31725,c_49]) ).

cnf(c_32514,plain,
    midp(sK24,sK21,sK25),
    inference(global_subsumption_just,[status(thm)],[c_32423,c_168,c_177,c_181,c_235,c_6614,c_6738,c_7295,c_9118,c_10872,c_10921,c_11035,c_11780,c_11931,c_32412]) ).

cnf(c_32964,plain,
    coll(sK24,sK21,sK23),
    inference(superposition,[status(thm)],[c_32034,c_6425]) ).

cnf(c_33039,plain,
    coll(sK21,sK26,sK27),
    inference(superposition,[status(thm)],[c_32267,c_6790]) ).

cnf(c_33212,plain,
    coll(sK21,sK24,sK23),
    inference(superposition,[status(thm)],[c_32964,c_50]) ).

cnf(c_33697,plain,
    ( ~ coll(sK26,sK25,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_32435,c_51]) ).

cnf(c_33712,plain,
    ( ~ coll(sK26,sK25,sK20)
    | coll(sK21,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_33697]) ).

cnf(c_33727,plain,
    ( ~ midp(sK26,sK25,sK24)
    | ~ midp(sK26,sK20,sK21)
    | para(sK25,sK20,sK24,sK21) ),
    inference(instantiation,[status(thm)],[c_18786]) ).

cnf(c_34403,plain,
    ( ~ coll(sK24,sK22,sK23)
    | ~ midp(sK23,sK22,sK23)
    | midp(sK24,sK22,sK23) ),
    inference(superposition,[status(thm)],[c_7355,c_116]) ).

cnf(c_34418,plain,
    ( ~ midp(sK23,sK22,sK23)
    | midp(sK24,sK22,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_34403,c_22670]) ).

cnf(c_34474,plain,
    ( ~ para(sK20,X0,sK21,sK25)
    | ~ para(sK20,sK25,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK22,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_7027]) ).

cnf(c_34742,plain,
    coll(sK26,sK21,sK27),
    inference(superposition,[status(thm)],[c_33039,c_50]) ).

cnf(c_34743,plain,
    coll(sK21,sK27,sK26),
    inference(superposition,[status(thm)],[c_33039,c_49]) ).

cnf(c_35495,plain,
    coll(sK27,sK23,sK21),
    inference(superposition,[status(thm)],[c_33212,c_30876]) ).

cnf(c_36903,plain,
    ( ~ para(sK25,sK27,sK24,X0)
    | ~ perp(sK24,X0,sK24,sK27)
    | perp(sK25,sK27,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_26182]) ).

cnf(c_36906,plain,
    ( ~ para(sK25,sK27,sK24,sK20)
    | ~ perp(sK24,sK20,sK24,sK27)
    | perp(sK25,sK27,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_36903]) ).

cnf(c_36991,plain,
    coll(sK26,sK27,sK21),
    inference(superposition,[status(thm)],[c_34742,c_49]) ).

cnf(c_37040,plain,
    coll(sK27,sK21,sK26),
    inference(superposition,[status(thm)],[c_34743,c_50]) ).

cnf(c_37042,plain,
    coll(sK21,sK26,sK21),
    inference(superposition,[status(thm)],[c_34743,c_6545]) ).

cnf(c_37043,plain,
    coll(sK20,sK26,sK21),
    inference(superposition,[status(thm)],[c_34743,c_6426]) ).

cnf(c_37094,plain,
    coll(sK27,sK21,sK23),
    inference(superposition,[status(thm)],[c_35495,c_49]) ).

cnf(c_37842,plain,
    coll(sK20,sK26,sK27),
    inference(superposition,[status(thm)],[c_37040,c_6422]) ).

cnf(c_37864,plain,
    coll(sK21,sK21,sK26),
    inference(superposition,[status(thm)],[c_37042,c_49]) ).

cnf(c_37946,plain,
    coll(sK26,sK20,sK21),
    inference(superposition,[status(thm)],[c_37043,c_50]) ).

cnf(c_37947,plain,
    coll(sK20,sK21,sK26),
    inference(superposition,[status(thm)],[c_37043,c_49]) ).

cnf(c_37964,plain,
    coll(sK26,sK20,sK27),
    inference(superposition,[status(thm)],[c_37842,c_50]) ).

cnf(c_38184,plain,
    coll(sK21,sK27,sK23),
    inference(superposition,[status(thm)],[c_37094,c_50]) ).

cnf(c_38188,plain,
    coll(sK20,sK23,sK27),
    inference(superposition,[status(thm)],[c_37094,c_6422]) ).

cnf(c_38433,plain,
    coll(sK20,sK27,sK23),
    inference(superposition,[status(thm)],[c_38188,c_49]) ).

cnf(c_38969,plain,
    coll(sK22,sK26,sK21),
    inference(superposition,[status(thm)],[c_37864,c_6776]) ).

cnf(c_39002,plain,
    coll(sK26,sK21,sK20),
    inference(superposition,[status(thm)],[c_37946,c_49]) ).

cnf(c_39022,plain,
    coll(sK20,sK26,sK20),
    inference(superposition,[status(thm)],[c_37947,c_7203]) ).

cnf(c_39023,plain,
    coll(sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_37947,c_6841]) ).

cnf(c_39106,plain,
    coll(sK26,sK27,sK20),
    inference(superposition,[status(thm)],[c_37964,c_49]) ).

cnf(c_39494,plain,
    ( ~ coll(sK21,X0,sK26)
    | ~ midp(sK21,X0,sK27)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_12788,c_94]) ).

cnf(c_39527,plain,
    ( ~ coll(sK21,sK20,sK26)
    | ~ midp(sK21,sK20,sK27)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK21,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_39494]) ).

cnf(c_39537,plain,
    ( ~ coll(sK27,sK20,sK20)
    | ~ midp(sK26,sK20,sK21)
    | midp(sK27,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_13110,c_116]) ).

cnf(c_39551,plain,
    ( ~ midp(sK26,sK20,sK21)
    | circle(sK27,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_13110,c_7897]) ).

cnf(c_39558,plain,
    ( ~ midp(sK26,sK20,sK21)
    | midp(sK27,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_39537,c_6733]) ).

cnf(c_40021,plain,
    coll(sK20,sK23,sK21),
    inference(superposition,[status(thm)],[c_38184,c_6426]) ).

cnf(c_40792,plain,
    coll(sK20,sK23,sK20),
    inference(superposition,[status(thm)],[c_38433,c_6732]) ).

cnf(c_40793,plain,
    coll(sK21,sK23,sK20),
    inference(superposition,[status(thm)],[c_38433,c_6424]) ).

cnf(c_40864,plain,
    coll(sK26,sK22,sK21),
    inference(superposition,[status(thm)],[c_38969,c_50]) ).

cnf(c_40959,plain,
    coll(sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_39022,c_49]) ).

cnf(c_41067,plain,
    coll(sK23,sK21,sK20),
    inference(superposition,[status(thm)],[c_40793,c_50]) ).

cnf(c_41365,plain,
    coll(sK22,sK26,sK27),
    inference(superposition,[status(thm)],[c_37040,c_7941]) ).

cnf(c_41698,plain,
    coll(sK20,sK21,sK23),
    inference(superposition,[status(thm)],[c_40021,c_49]) ).

cnf(c_41800,plain,
    coll(sK26,sK21,sK22),
    inference(superposition,[status(thm)],[c_40864,c_49]) ).

cnf(c_41887,plain,
    coll(sK23,sK20,sK20),
    inference(superposition,[status(thm)],[c_40792,c_50]) ).

cnf(c_42884,plain,
    coll(sK26,sK22,sK27),
    inference(superposition,[status(thm)],[c_41365,c_50]) ).

cnf(c_43002,plain,
    ( ~ para(sK20,sK25,sK21,sK24)
    | ~ para(sK20,sK24,sK21,sK25)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK22,sK25,sK24) ),
    inference(instantiation,[status(thm)],[c_34474]) ).

cnf(c_43314,plain,
    coll(sK22,sK23,sK20),
    inference(superposition,[status(thm)],[c_41698,c_6650]) ).

cnf(c_44345,plain,
    coll(sK26,sK27,sK22),
    inference(superposition,[status(thm)],[c_42884,c_49]) ).

cnf(c_44428,plain,
    coll(sK22,sK20,sK23),
    inference(superposition,[status(thm)],[c_43314,c_49]) ).

cnf(c_45070,plain,
    ( ~ coll(sK27,sK20,sK21)
    | ~ midp(sK26,sK20,sK21)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_39551,c_102]) ).

cnf(c_45071,plain,
    ( ~ midp(sK26,sK20,sK21)
    | perp(sK20,sK20,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_45070,c_163]) ).

cnf(c_45074,plain,
    perp(sK20,sK20,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_45071,c_171,c_168,c_181,c_186,c_235,c_6391,c_6614,c_6655,c_6738,c_6789,c_6838,c_7295,c_7843,c_7862,c_9118,c_9218,c_10921,c_11035,c_11780,c_11931,c_19947,c_20455,c_24439]) ).

cnf(c_45077,plain,
    ( ~ midp(sK20,sK20,sK21)
    | cong(sK20,sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_45074,c_104]) ).

cnf(c_45079,plain,
    perp(sK20,sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_45074,c_55]) ).

cnf(c_45169,plain,
    perp(sK21,sK20,sK20,sK20),
    inference(superposition,[status(thm)],[c_45079,c_56]) ).

cnf(c_45497,plain,
    cong(sK20,sK20,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_45077,c_171,c_168,c_177,c_181,c_235,c_6391,c_6392,c_6460,c_6614,c_6655,c_6738,c_6789,c_6838,c_7295,c_7862,c_9118,c_9429,c_10921,c_11035,c_11780,c_11931,c_20455,c_24439,c_45077]) ).

cnf(c_45503,plain,
    ( ~ coll(sK20,sK20,sK21)
    | midp(sK20,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_45497,c_116]) ).

cnf(c_45516,plain,
    midp(sK20,sK20,sK21),
    inference(forward_subsumption_resolution,[status(thm)],[c_45503,c_6707]) ).

cnf(c_45562,plain,
    midp(sK21,sK20,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_18553,c_45516]) ).

cnf(c_46969,plain,
    ( ~ midp(X0,sK20,sK20)
    | perp(sK22,X0,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_45169,c_7769]) ).

cnf(c_47250,plain,
    ( ~ midp(sK22,sK25,sK24)
    | midp(sK20,sK25,sK24) ),
    inference(superposition,[status(thm)],[c_45516,c_21362]) ).

cnf(c_47575,plain,
    ( ~ midp(sK27,X0,X1)
    | ~ midp(sK24,X0,X2)
    | para(sK24,sK27,X2,X1) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_47576,plain,
    ( ~ midp(sK27,sK20,sK20)
    | ~ midp(sK24,sK20,sK20)
    | para(sK24,sK27,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_47575]) ).

cnf(c_47896,plain,
    ( ~ midp(sK24,sK22,sK23)
    | midp(sK23,sK22,sK23) ),
    inference(global_subsumption_just,[status(thm)],[c_8312,c_8312,c_9183]) ).

cnf(c_49166,plain,
    ( ~ para(X0,sK20,X1,sK21)
    | ~ para(X0,sK21,X1,sK20)
    | ~ midp(sK26,X0,X1)
    | midp(sK26,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_49167,plain,
    ( ~ para(sK20,sK20,sK20,sK21)
    | ~ para(sK20,sK21,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | midp(sK26,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_49166]) ).

cnf(c_49692,plain,
    ( ~ midp(sK23,sK20,sK20)
    | para(sK23,sK24,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_46969,c_7526]) ).

cnf(c_50195,plain,
    ( ~ coll(sK22,X0,sK22)
    | ~ midp(sK23,X0,sK23)
    | midp(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_29423,c_94]) ).

cnf(c_50200,plain,
    coll(sK23,sK22,sK22),
    inference(superposition,[status(thm)],[c_29423,c_115]) ).

cnf(c_50208,plain,
    ( ~ coll(sK22,sK20,sK22)
    | ~ midp(sK23,sK20,sK23)
    | midp(sK22,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_50195]) ).

cnf(c_50269,plain,
    coll(sK22,sK23,sK22),
    inference(superposition,[status(thm)],[c_50200,c_50]) ).

cnf(c_50359,plain,
    ( ~ coll(sK24,X0,sK20)
    | ~ midp(sK23,X0,sK20)
    | ~ midp(sK23,sK20,sK20)
    | midp(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_49692,c_94]) ).

cnf(c_50381,plain,
    ( ~ coll(sK24,sK20,sK20)
    | ~ midp(sK23,sK20,sK20)
    | midp(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_50359]) ).

cnf(c_50569,plain,
    midp(sK26,sK24,sK25),
    inference(superposition,[status(thm)],[c_165,c_59]) ).

cnf(c_50638,plain,
    perp(sK22,sK23,sK24,sK23),
    inference(superposition,[status(thm)],[c_168,c_55]) ).

cnf(c_50667,plain,
    perp(sK24,sK23,sK22,sK23),
    inference(superposition,[status(thm)],[c_50638,c_56]) ).

cnf(c_50703,plain,
    ( ~ coll(sK27,sK20,X0)
    | coll(sK21,X0,sK27) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_50783,plain,
    coll(sK21,sK21,sK27),
    inference(superposition,[status(thm)],[c_163,c_50703]) ).

cnf(c_50784,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK27,X0,sK21) ),
    inference(superposition,[status(thm)],[c_50783,c_51]) ).

cnf(c_50928,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK24,X0,sK25,X1) ),
    inference(superposition,[status(thm)],[c_50569,c_112]) ).

cnf(c_51329,plain,
    ( ~ perp(sK22,sK23,X0,X1)
    | para(sK24,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_50667,c_57]) ).

cnf(c_51883,plain,
    para(sK24,sK23,sK24,sK23),
    inference(superposition,[status(thm)],[c_50638,c_51329]) ).

cnf(c_51927,plain,
    coll(sK27,sK27,sK21),
    inference(superposition,[status(thm)],[c_50783,c_50784]) ).

cnf(c_51932,plain,
    coll(sK27,sK21,sK27),
    inference(superposition,[status(thm)],[c_51927,c_49]) ).

cnf(c_52552,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK26,X0,X2)
    | ~ midp(sK24,X1,sK25)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_50928,c_94]) ).

cnf(c_52575,plain,
    ( ~ coll(sK23,X0,sK23)
    | ~ midp(sK24,X0,sK24)
    | midp(sK23,X0,sK23) ),
    inference(superposition,[status(thm)],[c_51883,c_94]) ).

cnf(c_52723,plain,
    ( ~ coll(sK23,sK20,sK23)
    | ~ midp(sK24,sK20,sK24)
    | midp(sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_52575]) ).

cnf(c_57394,plain,
    coll(sK22,sK22,sK23),
    inference(superposition,[status(thm)],[c_50269,c_49]) ).

cnf(c_57409,plain,
    ( ~ midp(sK22,sK22,sK24)
    | midp(sK22,sK22,sK23) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8191,c_57394]) ).

cnf(c_57823,plain,
    ( ~ para(sK25,X0,sK24,sK27)
    | ~ para(sK25,sK27,sK24,X0)
    | ~ midp(sK26,sK25,sK24)
    | midp(sK26,sK27,X0) ),
    inference(instantiation,[status(thm)],[c_7025]) ).

cnf(c_58418,plain,
    ( ~ para(sK20,X0,sK21,sK26)
    | ~ para(sK20,sK26,sK21,X0)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK22,sK26,X0) ),
    inference(instantiation,[status(thm)],[c_7027]) ).

cnf(c_58419,plain,
    ( ~ para(sK20,sK20,sK21,sK26)
    | ~ para(sK20,sK26,sK21,sK20)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK22,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_58418]) ).

cnf(c_60506,plain,
    coll(sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_39106,c_11050]) ).

cnf(c_60508,plain,
    coll(sK26,sK21,sK26),
    inference(superposition,[status(thm)],[c_36991,c_11050]) ).

cnf(c_60509,plain,
    coll(sK26,sK22,sK26),
    inference(superposition,[status(thm)],[c_44345,c_11050]) ).

cnf(c_60688,plain,
    coll(sK26,sK26,sK20),
    inference(superposition,[status(thm)],[c_60506,c_49]) ).

cnf(c_61958,plain,
    ( ~ midp(sK21,sK20,sK20)
    | midp(sK25,sK20,sK24) ),
    inference(superposition,[status(thm)],[c_11777,c_9254]) ).

cnf(c_61977,plain,
    midp(sK25,sK20,sK24),
    inference(forward_subsumption_resolution,[status(thm)],[c_61958,c_45562]) ).

cnf(c_61989,plain,
    ( ~ midp(sK26,sK27,sK21)
    | midp(sK27,sK20,sK21) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15997,c_61977]) ).

cnf(c_62225,plain,
    midp(sK27,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_61989,c_171,c_168,c_177,c_181,c_235,c_6391,c_6390,c_6392,c_6460,c_6614,c_6655,c_6731,c_6738,c_6789,c_6838,c_7246,c_7295,c_7661,c_7705,c_7862,c_8053,c_9118,c_9424,c_9429,c_10921,c_11035,c_11780,c_11931,c_12623,c_20455,c_24061,c_24439,c_49167]) ).

cnf(c_66597,plain,
    coll(sK22,sK24,sK22),
    inference(superposition,[status(thm)],[c_30764,c_14841]) ).

cnf(c_66801,plain,
    ( ~ midp(sK27,X0,X1)
    | ~ midp(sK25,X0,sK24)
    | para(sK25,sK27,sK24,X1) ),
    inference(instantiation,[status(thm)],[c_24052]) ).

cnf(c_66804,plain,
    ( ~ midp(sK25,sK20,sK24)
    | ~ midp(sK27,sK20,sK20)
    | para(sK25,sK27,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_66801]) ).

cnf(c_67080,plain,
    ( ~ midp(sK20,sK21,sK26)
    | ~ midp(sK22,sK20,sK20)
    | midp(sK20,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_40959,c_9261]) ).

cnf(c_67214,plain,
    ( ~ midp(sK21,sK21,sK20)
    | ~ midp(sK22,sK26,sK20)
    | midp(sK21,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_39023,c_9261]) ).

cnf(c_67774,plain,
    ( ~ midp(sK22,sK26,sK20)
    | midp(sK21,sK26,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_67214,c_18989]) ).

cnf(c_69942,plain,
    ( ~ midp(sK25,X0,sK24)
    | ~ midp(sK27,X0,sK27)
    | para(sK25,sK27,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_66801]) ).

cnf(c_69943,plain,
    ( ~ para(sK25,sK27,sK24,sK27)
    | ~ midp(sK26,sK25,sK24)
    | midp(sK26,sK27,sK27) ),
    inference(instantiation,[status(thm)],[c_57823]) ).

cnf(c_69944,plain,
    ( ~ midp(sK25,sK20,sK24)
    | ~ midp(sK27,sK20,sK27)
    | para(sK25,sK27,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_69942]) ).

cnf(c_69986,plain,
    ( ~ perp(sK24,sK27,sK24,X0)
    | perp(sK24,X0,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_69987,plain,
    ( ~ perp(sK24,sK27,sK24,sK20)
    | perp(sK24,sK20,sK24,sK27) ),
    inference(instantiation,[status(thm)],[c_69986]) ).

cnf(c_70132,plain,
    ( ~ midp(sK25,X0,sK24)
    | ~ midp(sK20,X0,sK21)
    | para(sK20,sK25,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_24054]) ).

cnf(c_70133,plain,
    ( ~ midp(sK25,sK20,sK24)
    | ~ midp(sK20,sK20,sK21)
    | para(sK20,sK25,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_70132]) ).

cnf(c_70148,plain,
    ( ~ midp(sK26,X0,X1)
    | ~ midp(sK20,X0,sK21)
    | para(sK20,sK26,sK21,X1) ),
    inference(instantiation,[status(thm)],[c_24054]) ).

cnf(c_70149,plain,
    ( ~ midp(sK20,sK20,sK21)
    | ~ midp(sK26,sK20,sK20)
    | para(sK20,sK26,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_70148]) ).

cnf(c_70150,plain,
    ( ~ midp(X0,X1,sK26)
    | ~ midp(sK20,X1,sK21)
    | para(sK20,X0,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_24054]) ).

cnf(c_70151,plain,
    ( ~ midp(sK20,sK20,sK21)
    | ~ midp(sK20,sK20,sK26)
    | para(sK20,sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_70150]) ).

cnf(c_70874,plain,
    coll(sK24,sK22,sK22),
    inference(superposition,[status(thm)],[c_66597,c_50]) ).

cnf(c_70875,plain,
    coll(sK22,sK22,sK24),
    inference(superposition,[status(thm)],[c_66597,c_49]) ).

cnf(c_73472,plain,
    ( ~ midp(sK26,sK26,X0)
    | midp(sK26,X0,sK26) ),
    inference(instantiation,[status(thm)],[c_18830]) ).

cnf(c_73474,plain,
    ( ~ midp(sK26,sK26,sK20)
    | midp(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_73472]) ).

cnf(c_75090,plain,
    ( ~ midp(sK24,sK25,sK22)
    | ~ midp(sK24,sK22,sK26)
    | midp(sK22,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_70875,c_9262]) ).

cnf(c_76053,plain,
    ( ~ midp(sK27,sK20,sK21)
    | ~ midp(sK21,sK20,sK22)
    | midp(sK21,sK20,sK27) ),
    inference(superposition,[status(thm)],[c_6403,c_9264]) ).

cnf(c_76182,plain,
    ( ~ midp(sK21,sK22,sK22)
    | ~ midp(sK23,sK20,sK23)
    | midp(sK23,sK22,sK23) ),
    inference(superposition,[status(thm)],[c_9183,c_9264]) ).

cnf(c_76259,plain,
    ( ~ midp(sK24,sK20,sK20)
    | ~ midp(sK21,sK22,sK22)
    | midp(sK20,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_31219,c_9264]) ).

cnf(c_77970,plain,
    ( ~ midp(sK21,sK20,sK22)
    | midp(sK21,sK20,sK27) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_76053,c_62225]) ).

cnf(c_79463,plain,
    ( ~ perp(X0,X1,sK24,X2)
    | ~ para(sK24,sK27,X0,X1)
    | perp(sK24,sK27,sK24,X2) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_79464,plain,
    ( ~ para(sK24,sK27,sK20,sK20)
    | ~ perp(sK20,sK20,sK24,sK20)
    | perp(sK24,sK27,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_79463]) ).

cnf(c_80177,plain,
    ( ~ midp(sK24,sK21,sK25)
    | ~ midp(sK26,sK27,sK27)
    | midp(sK27,sK21,sK27) ),
    inference(superposition,[status(thm)],[c_51932,c_52552]) ).

cnf(c_80818,plain,
    ( ~ midp(sK24,sK21,sK25)
    | ~ midp(sK26,sK20,sK22)
    | midp(sK20,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_6541,c_9266]) ).

cnf(c_81042,plain,
    ( ~ midp(sK24,sK22,sK25)
    | ~ midp(sK26,sK25,sK24)
    | midp(sK25,sK22,sK24) ),
    inference(superposition,[status(thm)],[c_24452,c_9266]) ).

cnf(c_81120,plain,
    ( ~ midp(sK24,sK21,sK25)
    | ~ midp(sK26,sK26,sK20)
    | midp(sK26,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_39002,c_9266]) ).

cnf(c_81819,plain,
    ( ~ midp(sK26,sK26,sK20)
    | midp(sK26,sK21,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_81120,c_32514]) ).

cnf(c_82029,plain,
    ( ~ midp(sK24,sK22,sK25)
    | midp(sK25,sK22,sK24) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_81042,c_165]) ).

cnf(c_82608,plain,
    ( ~ midp(sK26,sK20,sK22)
    | midp(sK20,sK21,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_80818,c_32514]) ).

cnf(c_85579,plain,
    ( ~ midp(sK21,sK26,sK20)
    | ~ midp(sK22,sK26,sK20)
    | midp(sK26,sK26,sK20) ),
    inference(superposition,[status(thm)],[c_60688,c_9267]) ).

cnf(c_85581,plain,
    ( ~ midp(sK21,sK20,sK20)
    | ~ midp(sK22,sK22,sK23)
    | midp(sK22,sK20,sK23) ),
    inference(superposition,[status(thm)],[c_44428,c_9267]) ).

cnf(c_86881,plain,
    ( ~ midp(sK22,sK22,sK23)
    | midp(sK22,sK20,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_85581,c_45562]) ).

cnf(c_90086,plain,
    ( ~ midp(sK24,sK21,sK25)
    | ~ midp(sK26,sK22,sK26)
    | midp(sK26,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_41800,c_9268]) ).

cnf(c_90426,plain,
    ( ~ midp(sK26,sK22,sK26)
    | midp(sK26,sK21,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_90086,c_32514]) ).

cnf(c_94174,plain,
    ( ~ midp(sK21,sK20,sK20)
    | ~ midp(sK22,sK20,sK23)
    | midp(sK23,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_41887,c_9270]) ).

cnf(c_94295,plain,
    ( ~ midp(sK21,sK21,sK20)
    | ~ midp(sK22,sK20,sK23)
    | midp(sK23,sK21,sK20) ),
    inference(superposition,[status(thm)],[c_41067,c_9270]) ).

cnf(c_94965,plain,
    ( ~ midp(sK22,sK20,sK23)
    | midp(sK23,sK21,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_94295,c_18989]) ).

cnf(c_95259,plain,
    ( ~ midp(sK22,sK20,sK23)
    | midp(sK23,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_94174,c_45562]) ).

cnf(c_98535,plain,
    midp(sK26,sK21,sK20),
    inference(global_subsumption_just,[status(thm)],[c_81819,c_171,c_165,c_168,c_177,c_181,c_235,c_6391,c_6390,c_6392,c_6460,c_6603,c_6614,c_6655,c_6731,c_6738,c_6789,c_6838,c_7246,c_7295,c_7661,c_7862,c_8053,c_9118,c_9424,c_9429,c_10921,c_11035,c_11780,c_11931,c_12623,c_16549,c_20455,c_24061,c_24439,c_33727,c_49167]) ).

cnf(c_98543,plain,
    midp(sK26,sK20,sK21),
    inference(superposition,[status(thm)],[c_98535,c_59]) ).

cnf(c_98812,plain,
    ( ~ midp(X0,sK22,sK21)
    | ~ midp(sK21,sK20,sK26)
    | midp(X0,sK21,sK26) ),
    inference(superposition,[status(thm)],[c_98543,c_20980]) ).

cnf(c_98835,plain,
    ( ~ midp(sK20,sK22,sK21)
    | ~ midp(sK21,sK20,sK26)
    | midp(sK20,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_98812]) ).

cnf(c_99360,plain,
    ( ~ midp(sK20,sK25,sK24)
    | ~ midp(sK26,sK21,sK22)
    | midp(sK24,sK25,sK22) ),
    inference(superposition,[status(thm)],[c_20864,c_9274]) ).

cnf(c_99369,plain,
    ( ~ midp(sK20,sK22,sK24)
    | ~ midp(sK26,sK21,sK26)
    | midp(sK24,sK22,sK26) ),
    inference(superposition,[status(thm)],[c_27226,c_9274]) ).

cnf(c_101212,plain,
    ( ~ midp(sK27,sK21,sK27)
    | midp(sK26,sK21,sK26) ),
    inference(superposition,[status(thm)],[c_60508,c_9276]) ).

cnf(c_101213,plain,
    ( ~ midp(sK27,sK22,sK27)
    | midp(sK26,sK22,sK26) ),
    inference(superposition,[status(thm)],[c_60509,c_9276]) ).

cnf(c_101946,plain,
    midp(sK20,sK21,sK22),
    inference(global_subsumption_just,[status(thm)],[c_82608,c_168,c_177,c_181,c_235,c_6614,c_6738,c_6751,c_7295,c_9118,c_9127,c_9420,c_10872,c_10921,c_11035,c_11780,c_11931,c_13071,c_17369,c_18112,c_50208,c_52723]) ).

cnf(c_101951,plain,
    midp(sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_101946,c_59]) ).

cnf(c_101956,plain,
    midp(sK24,sK22,sK25),
    inference(backward_subsumption_resolution,[status(thm)],[c_20865,c_101951]) ).

cnf(c_101957,plain,
    midp(sK21,sK22,sK20),
    inference(backward_subsumption_resolution,[status(thm)],[c_18517,c_101951]) ).

cnf(c_101958,plain,
    midp(sK25,sK22,sK24),
    inference(backward_subsumption_resolution,[status(thm)],[c_82029,c_101956]) ).

cnf(c_101999,plain,
    midp(sK21,sK20,sK22),
    inference(superposition,[status(thm)],[c_101957,c_59]) ).

cnf(c_102004,plain,
    midp(sK21,sK20,sK27),
    inference(backward_subsumption_resolution,[status(thm)],[c_77970,c_101999]) ).

cnf(c_102491,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(sK24,X4,X0,X1)
    | perp(sK24,X4,X2,X3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_102492,plain,
    ( ~ para(sK24,sK20,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK20)
    | perp(sK24,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_102491]) ).

cnf(c_114606,plain,
    midp(sK24,sK22,sK23),
    inference(global_subsumption_just,[status(thm)],[c_34418,c_171,c_165,c_168,c_177,c_181,c_235,c_6378,c_6391,c_6390,c_6392,c_6460,c_6462,c_6532,c_6614,c_6655,c_6731,c_6738,c_6751,c_6789,c_6838,c_6915,c_7246,c_7295,c_7661,c_7862,c_8053,c_9118,c_9127,c_9411,c_9420,c_9422,c_9424,c_9429,c_10921,c_11035,c_11780,c_11931,c_12623,c_16023,c_17348,c_17369,c_17982,c_20455,c_24061,c_24439,c_31821,c_31961,c_33712,c_34418,c_39527,c_49167,c_52723,c_58419,c_67774,c_67080,c_69944,c_69943,c_70149,c_70151,c_73474,c_76182,c_85579,c_90426,c_98835,c_101213,c_101958,c_102004]) ).

cnf(c_114608,plain,
    midp(sK23,sK22,sK23),
    inference(backward_subsumption_resolution,[status(thm)],[c_47896,c_114606]) ).

cnf(c_114611,plain,
    cong(sK24,sK22,sK24,sK23),
    inference(backward_subsumption_resolution,[status(thm)],[c_7355,c_114608]) ).

cnf(c_114873,plain,
    ( ~ perp(sK24,X0,X1,X2)
    | perp(X1,X2,sK24,X0) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_114874,plain,
    ( ~ perp(sK24,sK20,sK20,sK20)
    | perp(sK20,sK20,sK24,sK20) ),
    inference(instantiation,[status(thm)],[c_114873]) ).

cnf(c_114955,plain,
    ~ midp(sK22,sK20,sK23),
    inference(global_subsumption_just,[status(thm)],[c_94965,c_171,c_168,c_162,c_177,c_181,c_186,c_235,c_6391,c_6390,c_6392,c_6460,c_6462,c_6532,c_6614,c_6655,c_6731,c_6738,c_6789,c_6838,c_7246,c_7295,c_7661,c_7862,c_8053,c_9118,c_9411,c_9422,c_9424,c_9429,c_10921,c_11035,c_11780,c_11931,c_12623,c_20455,c_24061,c_24439,c_31476,c_36906,c_39558,c_47576,c_49167,c_50381,c_66804,c_69987,c_79464,c_95259,c_102492,c_114874]) ).

cnf(c_115308,plain,
    cong(sK24,sK22,sK24,sK22),
    inference(superposition,[status(thm)],[c_114611,c_23920]) ).

cnf(c_116092,plain,
    ( ~ coll(sK24,sK22,sK22)
    | midp(sK24,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_115308,c_116]) ).

cnf(c_116105,plain,
    midp(sK24,sK22,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_116092,c_70874]) ).

cnf(c_116266,plain,
    midp(sK24,sK23,sK23),
    inference(superposition,[status(thm)],[c_116105,c_10762]) ).

cnf(c_116277,plain,
    midp(sK24,sK24,sK24),
    inference(superposition,[status(thm)],[c_116266,c_10744]) ).

cnf(c_116288,plain,
    midp(sK24,sK20,sK20),
    inference(superposition,[status(thm)],[c_116277,c_29799]) ).

cnf(c_116293,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_116288,c_114955,c_102004,c_101958,c_101212,c_101213,c_99360,c_99369,c_98835,c_90426,c_85579,c_86881,c_80177,c_76259,c_75090,c_73474,c_70151,c_70149,c_70133,c_69943,c_69944,c_67080,c_67774,c_58419,c_57409,c_49167,c_47250,c_43002,c_39527,c_33712,c_32412,c_31961,c_31821,c_24439,c_24061,c_20455,c_17982,c_17348,c_16023,c_12623,c_11931,c_11780,c_11035,c_10921,c_10872,c_9429,c_9424,c_9422,c_9411,c_9118,c_8053,c_7862,c_7661,c_7295,c_7246,c_6915,c_6838,c_6789,c_6738,c_6731,c_6655,c_6614,c_6532,c_6486,c_6462,c_6460,c_6392,c_6390,c_6391,c_6378,c_235,c_181,c_177,c_168,c_165,c_171]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : GEO638+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.13  % 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 21:36:26 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 24.15/4.22  % SZS status Started for theBenchmark.p
% 24.15/4.22  % SZS status Theorem for theBenchmark.p
% 24.15/4.22  
% 24.15/4.22  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 24.15/4.22  
% 24.15/4.22  ------  iProver source info
% 24.15/4.22  
% 24.15/4.22  git: date: 2023-05-31 18:12:56 +0000
% 24.15/4.22  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 24.15/4.22  git: non_committed_changes: false
% 24.15/4.22  git: last_make_outside_of_git: false
% 24.15/4.22  
% 24.15/4.22  ------ Parsing...
% 24.15/4.22  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 24.15/4.22  
% 24.15/4.22  ------ 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 
% 24.15/4.22  
% 24.15/4.22  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 24.15/4.22  
% 24.15/4.22  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 24.15/4.22  ------ Proving...
% 24.15/4.22  ------ Problem Properties 
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  clauses                                 122
% 24.15/4.22  conjectures                             10
% 24.15/4.22  EPR                                     85
% 24.15/4.22  Horn                                    112
% 24.15/4.22  unary                                   10
% 24.15/4.22  binary                                  37
% 24.15/4.22  lits                                    338
% 24.15/4.22  lits eq                                 4
% 24.15/4.22  fd_pure                                 0
% 24.15/4.22  fd_pseudo                               0
% 24.15/4.22  fd_cond                                 0
% 24.15/4.22  fd_pseudo_cond                          4
% 24.15/4.22  AC symbols                              0
% 24.15/4.22  
% 24.15/4.22  ------ Schedule dynamic 5 is on 
% 24.15/4.22  
% 24.15/4.22  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  ------ 
% 24.15/4.22  Current options:
% 24.15/4.22  ------ 
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  ------ Proving...
% 24.15/4.22  
% 24.15/4.22  
% 24.15/4.22  % SZS status Theorem for theBenchmark.p
% 24.15/4.22  
% 24.15/4.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 24.15/4.22  
% 24.15/4.22  
%------------------------------------------------------------------------------