TSTP Solution File: GEO568+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : GEO568+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 23:11:49 EDT 2023

% Result   : Theorem 27.99s 4.67s
% Output   : CNFRefutation 27.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  473 ( 130 unt;   0 def)
%            Number of atoms       : 1117 (   0 equ)
%            Maximal formula atoms :   22 (   2 avg)
%            Number of connectives : 1146 ( 502   ~; 493   |; 109   &)
%                                         (   0 <=>;  42  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   :  854 (   0 sgn; 502   !;  27   ?)

% 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(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(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(f95,conjecture,
    ! [X0,X1,X2,X7,X3,X4,X18,X19,X20] :
      ( ( coll(X4,X0,X2)
        & perp(X4,X1,X0,X2)
        & coll(X3,X0,X1)
        & perp(X3,X2,X0,X1)
        & perp(X1,X2,X20,X7)
        & midp(X20,X1,X2)
        & perp(X0,X2,X19,X7)
        & midp(X19,X0,X2)
        & perp(X0,X1,X18,X7)
        & midp(X18,X0,X1) )
     => perp(X0,X7,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL214030) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X7,X3,X4,X18,X19,X20] :
        ( ( coll(X4,X0,X2)
          & perp(X4,X1,X0,X2)
          & coll(X3,X0,X1)
          & perp(X3,X2,X0,X1)
          & perp(X1,X2,X20,X7)
          & midp(X20,X1,X2)
          & perp(X0,X2,X19,X7)
          & midp(X19,X0,X2)
          & perp(X0,X1,X18,X7)
          & midp(X18,X0,X1) )
       => perp(X0,X7,X3,X4) ),
    inference(negated_conjecture,[],[f95]) ).

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

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(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(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
        ( ( coll(X5,X0,X2)
          & perp(X5,X1,X0,X2)
          & coll(X4,X0,X1)
          & perp(X4,X2,X0,X1)
          & perp(X1,X2,X8,X3)
          & midp(X8,X1,X2)
          & perp(X0,X2,X7,X3)
          & midp(X7,X0,X2)
          & perp(X0,X1,X6,X3)
          & midp(X6,X0,X1) )
       => perp(X0,X3,X4,X5) ),
    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(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(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(f319,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8] :
      ( ~ perp(X0,X3,X4,X5)
      & coll(X5,X0,X2)
      & perp(X5,X1,X0,X2)
      & coll(X4,X0,X1)
      & perp(X4,X2,X0,X1)
      & perp(X1,X2,X8,X3)
      & midp(X8,X1,X2)
      & perp(X0,X2,X7,X3)
      & midp(X7,X0,X2)
      & perp(X0,X1,X6,X3)
      & midp(X6,X0,X1) ),
    inference(ennf_transformation,[],[f167]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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(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(f473,plain,
    midp(sK26,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f474,plain,
    perp(sK20,sK21,sK26,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f475,plain,
    midp(sK27,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f476,plain,
    perp(sK20,sK22,sK27,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    midp(sK28,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    perp(sK24,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    coll(sK24,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f481,plain,
    perp(sK25,sK21,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    coll(sK25,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f483,plain,
    ~ perp(sK20,sK23,sK24,sK25),
    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_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_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_162,negated_conjecture,
    ~ perp(sK20,sK23,sK24,sK25),
    inference(cnf_transformation,[],[f483]) ).

cnf(c_163,negated_conjecture,
    coll(sK25,sK20,sK22),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_164,negated_conjecture,
    perp(sK25,sK21,sK20,sK22),
    inference(cnf_transformation,[],[f481]) ).

cnf(c_165,negated_conjecture,
    coll(sK24,sK20,sK21),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_166,negated_conjecture,
    perp(sK24,sK22,sK20,sK21),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_168,negated_conjecture,
    midp(sK28,sK21,sK22),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_169,negated_conjecture,
    perp(sK20,sK22,sK27,sK23),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_170,negated_conjecture,
    midp(sK27,sK20,sK22),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_171,negated_conjecture,
    perp(sK20,sK21,sK26,sK23),
    inference(cnf_transformation,[],[f474]) ).

cnf(c_172,negated_conjecture,
    midp(sK26,sK20,sK21),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_178,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | midp(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_182,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | eqangle(sK20,sK20,sK20,sK20,sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_187,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | perp(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_236,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_5819,plain,
    coll(sK25,sK22,sK20),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_5820,plain,
    coll(sK24,sK21,sK20),
    inference(superposition,[status(thm)],[c_165,c_49]) ).

cnf(c_5825,plain,
    coll(sK20,sK25,sK22),
    inference(superposition,[status(thm)],[c_163,c_50]) ).

cnf(c_5826,plain,
    coll(sK20,sK24,sK21),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_5827,plain,
    coll(sK22,sK25,sK20),
    inference(superposition,[status(thm)],[c_5819,c_50]) ).

cnf(c_5851,plain,
    midp(sK28,sK22,sK21),
    inference(superposition,[status(thm)],[c_168,c_59]) ).

cnf(c_5852,plain,
    midp(sK27,sK22,sK20),
    inference(superposition,[status(thm)],[c_170,c_59]) ).

cnf(c_5853,plain,
    midp(sK26,sK21,sK20),
    inference(superposition,[status(thm)],[c_172,c_59]) ).

cnf(c_5860,plain,
    coll(sK28,sK21,sK22),
    inference(superposition,[status(thm)],[c_168,c_118]) ).

cnf(c_5861,plain,
    coll(sK27,sK20,sK22),
    inference(superposition,[status(thm)],[c_170,c_118]) ).

cnf(c_5862,plain,
    coll(sK26,sK20,sK21),
    inference(superposition,[status(thm)],[c_172,c_118]) ).

cnf(c_5863,plain,
    coll(sK28,sK22,sK21),
    inference(superposition,[status(thm)],[c_5851,c_118]) ).

cnf(c_5864,plain,
    coll(sK27,sK22,sK20),
    inference(superposition,[status(thm)],[c_5852,c_118]) ).

cnf(c_5877,plain,
    coll(sK26,sK21,sK20),
    inference(superposition,[status(thm)],[c_5853,c_118]) ).

cnf(c_5879,plain,
    coll(sK21,sK28,sK22),
    inference(superposition,[status(thm)],[c_5860,c_50]) ).

cnf(c_5881,plain,
    coll(sK20,sK27,sK22),
    inference(superposition,[status(thm)],[c_5861,c_50]) ).

cnf(c_5883,plain,
    coll(sK20,sK26,sK21),
    inference(superposition,[status(thm)],[c_5862,c_50]) ).

cnf(c_5885,plain,
    coll(sK22,sK28,sK21),
    inference(superposition,[status(thm)],[c_5863,c_50]) ).

cnf(c_5887,plain,
    coll(sK22,sK27,sK20),
    inference(superposition,[status(thm)],[c_5864,c_50]) ).

cnf(c_5889,plain,
    coll(sK21,sK26,sK20),
    inference(superposition,[status(thm)],[c_5877,c_50]) ).

cnf(c_5894,plain,
    coll(sK20,sK22,sK27),
    inference(superposition,[status(thm)],[c_5881,c_49]) ).

cnf(c_5896,plain,
    coll(sK20,sK21,sK26),
    inference(superposition,[status(thm)],[c_5883,c_49]) ).

cnf(c_5900,plain,
    coll(sK22,sK20,sK27),
    inference(superposition,[status(thm)],[c_5887,c_49]) ).

cnf(c_5902,plain,
    coll(sK21,sK20,sK26),
    inference(superposition,[status(thm)],[c_5889,c_49]) ).

cnf(c_5914,plain,
    perp(sK20,sK22,sK23,sK27),
    inference(superposition,[status(thm)],[c_169,c_55]) ).

cnf(c_5923,plain,
    perp(sK27,sK23,sK20,sK22),
    inference(superposition,[status(thm)],[c_169,c_56]) ).

cnf(c_5924,plain,
    perp(sK26,sK23,sK20,sK21),
    inference(superposition,[status(thm)],[c_171,c_56]) ).

cnf(c_5943,plain,
    perp(sK23,sK27,sK20,sK22),
    inference(superposition,[status(thm)],[c_5914,c_56]) ).

cnf(c_5982,plain,
    perp(sK26,sK23,sK21,sK20),
    inference(superposition,[status(thm)],[c_5924,c_55]) ).

cnf(c_5990,plain,
    perp(sK23,sK27,sK22,sK20),
    inference(superposition,[status(thm)],[c_5943,c_55]) ).

cnf(c_6013,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK22,X0,sK25) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_6015,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK20,X0,sK25) ),
    inference(superposition,[status(thm)],[c_5819,c_51]) ).

cnf(c_6016,plain,
    ( ~ coll(sK24,sK21,X0)
    | coll(sK20,X0,sK24) ),
    inference(superposition,[status(thm)],[c_5820,c_51]) ).

cnf(c_6017,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK22,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5825,c_51]) ).

cnf(c_6018,plain,
    ( ~ coll(sK20,sK24,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5826,c_51]) ).

cnf(c_6019,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK20,X0,sK22) ),
    inference(superposition,[status(thm)],[c_5827,c_51]) ).

cnf(c_6025,plain,
    ( ~ coll(sK28,sK21,X0)
    | coll(sK22,X0,sK28) ),
    inference(superposition,[status(thm)],[c_5860,c_51]) ).

cnf(c_6026,plain,
    ( ~ coll(sK27,sK20,X0)
    | coll(sK22,X0,sK27) ),
    inference(superposition,[status(thm)],[c_5861,c_51]) ).

cnf(c_6027,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_5862,c_51]) ).

cnf(c_6028,plain,
    ( ~ coll(sK28,sK22,X0)
    | coll(sK21,X0,sK28) ),
    inference(superposition,[status(thm)],[c_5863,c_51]) ).

cnf(c_6030,plain,
    ( ~ coll(sK26,sK21,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_5877,c_51]) ).

cnf(c_6031,plain,
    ( ~ coll(sK21,sK28,X0)
    | coll(sK22,X0,sK21) ),
    inference(superposition,[status(thm)],[c_5879,c_51]) ).

cnf(c_6034,plain,
    ( ~ coll(sK22,sK28,X0)
    | coll(sK21,X0,sK22) ),
    inference(superposition,[status(thm)],[c_5885,c_51]) ).

cnf(c_6036,plain,
    ( ~ coll(sK21,sK26,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_5889,c_51]) ).

cnf(c_6038,plain,
    ( ~ coll(sK20,sK22,X0)
    | coll(sK27,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5894,c_51]) ).

cnf(c_6039,plain,
    ( ~ coll(sK20,sK21,X0)
    | coll(sK26,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5896,c_51]) ).

cnf(c_6041,plain,
    ( ~ coll(sK22,sK20,X0)
    | coll(sK27,X0,sK22) ),
    inference(superposition,[status(thm)],[c_5900,c_51]) ).

cnf(c_6042,plain,
    ( ~ coll(sK21,sK20,X0)
    | coll(sK26,X0,sK21) ),
    inference(superposition,[status(thm)],[c_5902,c_51]) ).

cnf(c_6104,plain,
    ( ~ coll(sK20,sK21,sK20)
    | coll(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6039]) ).

cnf(c_6105,plain,
    ( ~ coll(sK20,sK22,sK20)
    | coll(sK27,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6038]) ).

cnf(c_6107,plain,
    ( ~ coll(sK21,sK26,sK20)
    | coll(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6036]) ).

cnf(c_6121,plain,
    ( ~ coll(sK20,sK24,sK20)
    | coll(sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6018]) ).

cnf(c_6145,plain,
    coll(sK22,sK22,sK25),
    inference(superposition,[status(thm)],[c_163,c_6013]) ).

cnf(c_6146,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6145,c_51]) ).

cnf(c_6148,plain,
    coll(sK22,sK25,sK22),
    inference(superposition,[status(thm)],[c_6145,c_49]) ).

cnf(c_6161,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK22,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6148,c_51]) ).

cnf(c_6177,plain,
    coll(sK20,sK20,sK25),
    inference(superposition,[status(thm)],[c_5819,c_6015]) ).

cnf(c_6180,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK25,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6177,c_51]) ).

cnf(c_6182,plain,
    coll(sK20,sK25,sK20),
    inference(superposition,[status(thm)],[c_6177,c_49]) ).

cnf(c_6190,plain,
    coll(sK20,sK20,sK24),
    inference(superposition,[status(thm)],[c_5820,c_6016]) ).

cnf(c_6221,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK20,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6182,c_51]) ).

cnf(c_6222,plain,
    coll(sK25,sK20,sK20),
    inference(superposition,[status(thm)],[c_6182,c_50]) ).

cnf(c_6226,plain,
    ( ~ coll(sK20,sK25,sK20)
    | coll(sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6221]) ).

cnf(c_6230,plain,
    ( ~ coll(sK20,sK20,X0)
    | coll(sK24,X0,sK20) ),
    inference(superposition,[status(thm)],[c_6190,c_51]) ).

cnf(c_6232,plain,
    coll(sK20,sK24,sK20),
    inference(superposition,[status(thm)],[c_6190,c_49]) ).

cnf(c_6235,plain,
    ( ~ coll(sK20,sK20,sK20)
    | coll(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6230]) ).

cnf(c_6241,plain,
    coll(sK22,sK20,sK20),
    inference(superposition,[status(thm)],[c_6182,c_6017]) ).

cnf(c_6255,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_5826,c_6018]) ).

cnf(c_6256,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK20,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6255,c_51]) ).

cnf(c_6263,plain,
    ( ~ midp(sK27,sK20,sK22)
    | cong(sK27,sK20,sK27,sK22) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_6264,plain,
    ( ~ midp(sK26,sK20,sK21)
    | cong(sK26,sK20,sK26,sK21) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_6269,plain,
    coll(sK22,sK22,sK28),
    inference(superposition,[status(thm)],[c_5860,c_6025]) ).

cnf(c_6285,plain,
    coll(sK22,sK22,sK27),
    inference(superposition,[status(thm)],[c_5861,c_6026]) ).

cnf(c_6286,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK27,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6285,c_51]) ).

cnf(c_6288,plain,
    coll(sK22,sK27,sK22),
    inference(superposition,[status(thm)],[c_6285,c_49]) ).

cnf(c_6320,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK28,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_168,c_93]) ).

cnf(c_6321,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK27,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_170,c_93]) ).

cnf(c_6322,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK26,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_172,c_93]) ).

cnf(c_6323,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK28,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_5851,c_93]) ).

cnf(c_6324,plain,
    ( ~ midp(X0,sK22,X1)
    | para(sK27,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_5852,c_93]) ).

cnf(c_6325,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK26,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_5853,c_93]) ).

cnf(c_6358,plain,
    coll(sK21,sK20,sK20),
    inference(superposition,[status(thm)],[c_6232,c_6018]) ).

cnf(c_6365,plain,
    coll(sK20,sK22,sK20),
    inference(superposition,[status(thm)],[c_6241,c_50]) ).

cnf(c_6381,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK22,X1,sK28,X0) ),
    inference(superposition,[status(thm)],[c_6320,c_53]) ).

cnf(c_6394,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK27,X0,X1,sK22) ),
    inference(superposition,[status(thm)],[c_6321,c_52]) ).

cnf(c_6405,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK21,X1,sK26,X0) ),
    inference(superposition,[status(thm)],[c_6322,c_53]) ).

cnf(c_6406,plain,
    ( ~ midp(X0,sK20,X1)
    | para(sK26,X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_6322,c_52]) ).

cnf(c_6415,plain,
    ( ~ midp(sK27,X0,X1)
    | ~ midp(sK27,sK20,sK22)
    | para(sK20,X0,sK22,X1) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_6416,plain,
    ( ~ midp(sK27,sK20,sK20)
    | ~ midp(sK27,sK20,sK22)
    | para(sK20,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_6415]) ).

cnf(c_6437,plain,
    coll(sK25,sK28,sK22),
    inference(superposition,[status(thm)],[c_6269,c_6146]) ).

cnf(c_6487,plain,
    ( ~ midp(sK28,X0,X1)
    | para(sK21,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_168,c_112]) ).

cnf(c_6488,plain,
    ( ~ midp(sK27,X0,X1)
    | para(sK20,X0,sK22,X1) ),
    inference(superposition,[status(thm)],[c_170,c_112]) ).

cnf(c_6489,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK20,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_172,c_112]) ).

cnf(c_6491,plain,
    ( ~ midp(sK27,X0,X1)
    | para(sK22,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_5852,c_112]) ).

cnf(c_6492,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK21,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_5853,c_112]) ).

cnf(c_6505,plain,
    ( ~ midp(sK26,sK20,sK20)
    | para(sK21,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6492]) ).

cnf(c_6550,plain,
    coll(sK27,sK22,sK22),
    inference(superposition,[status(thm)],[c_6288,c_50]) ).

cnf(c_6585,plain,
    ( ~ midp(sK27,X0,X1)
    | para(sK20,X0,X1,sK22) ),
    inference(superposition,[status(thm)],[c_6488,c_52]) ).

cnf(c_6590,plain,
    ( ~ midp(sK27,sK20,sK20)
    | para(sK20,sK20,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_6585]) ).

cnf(c_6596,plain,
    ( ~ midp(sK26,X0,X1)
    | para(sK20,X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_6489,c_52]) ).

cnf(c_6601,plain,
    ( ~ midp(sK26,sK20,sK20)
    | para(sK20,sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_6596]) ).

cnf(c_6623,plain,
    ( ~ para(sK21,X0,sK22,X1)
    | ~ para(sK21,X1,sK22,X0)
    | ~ midp(sK28,sK21,sK22)
    | midp(sK28,X0,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_6624,plain,
    ( ~ para(sK21,sK20,sK22,sK20)
    | ~ midp(sK28,sK21,sK22)
    | midp(sK28,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_6623]) ).

cnf(c_6701,plain,
    ( ~ midp(sK21,sK20,sK22)
    | cong(sK25,sK20,sK25,sK22) ),
    inference(superposition,[status(thm)],[c_164,c_104]) ).

cnf(c_6702,plain,
    ( ~ midp(sK22,sK20,sK21)
    | cong(sK24,sK20,sK24,sK21) ),
    inference(superposition,[status(thm)],[c_166,c_104]) ).

cnf(c_6719,plain,
    ( ~ midp(sK27,sK20,sK22)
    | cong(sK23,sK20,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_5943,c_104]) ).

cnf(c_6729,plain,
    ( ~ midp(sK27,sK22,sK20)
    | cong(sK23,sK22,sK23,sK20) ),
    inference(superposition,[status(thm)],[c_5990,c_104]) ).

cnf(c_6730,plain,
    cong(sK23,sK22,sK23,sK20),
    inference(forward_subsumption_resolution,[status(thm)],[c_6729,c_5852]) ).

cnf(c_6747,plain,
    cong(sK23,sK20,sK23,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_6719,c_170]) ).

cnf(c_6816,plain,
    ( ~ para(sK21,X0,X1,X2)
    | ~ midp(X3,sK20,X0)
    | para(sK26,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6322,c_54]) ).

cnf(c_6823,plain,
    ( ~ para(sK21,X0,X1,X2)
    | ~ midp(sK26,X3,X0)
    | para(sK20,X3,X1,X2) ),
    inference(superposition,[status(thm)],[c_6489,c_54]) ).

cnf(c_6889,plain,
    coll(sK20,sK21,sK20),
    inference(superposition,[status(thm)],[c_6358,c_50]) ).

cnf(c_6932,plain,
    ( ~ midp(sK21,sK20,sK22)
    | cong(sK25,sK22,sK25,sK20) ),
    inference(superposition,[status(thm)],[c_6701,c_72]) ).

cnf(c_6954,plain,
    ( ~ coll(sK24,sK20,sK21)
    | ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_6702,c_116]) ).

cnf(c_6961,plain,
    ( ~ midp(sK22,sK20,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6954,c_165]) ).

cnf(c_7003,plain,
    ( ~ perp(sK27,sK23,X0,X1)
    | para(sK20,sK22,X0,X1) ),
    inference(superposition,[status(thm)],[c_169,c_57]) ).

cnf(c_7004,plain,
    ( ~ perp(sK26,sK23,X0,X1)
    | para(sK20,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_171,c_57]) ).

cnf(c_7014,plain,
    ( ~ perp(sK20,sK21,X0,X1)
    | para(sK26,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_5924,c_57]) ).

cnf(c_7279,plain,
    coll(sK28,sK25,sK22),
    inference(superposition,[status(thm)],[c_6437,c_50]) ).

cnf(c_7280,plain,
    coll(sK25,sK22,sK28),
    inference(superposition,[status(thm)],[c_6437,c_49]) ).

cnf(c_7438,plain,
    para(sK20,sK22,sK20,sK22),
    inference(superposition,[status(thm)],[c_5923,c_7003]) ).

cnf(c_7455,plain,
    ( ~ cong(sK25,sK22,X0,X1)
    | ~ midp(sK21,sK20,sK22)
    | cong(sK25,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_6701,c_73]) ).

cnf(c_7461,plain,
    ( ~ cong(sK23,sK22,X0,X1)
    | cong(sK23,sK20,X0,X1) ),
    inference(superposition,[status(thm)],[c_6747,c_73]) ).

cnf(c_7539,plain,
    ( ~ midp(sK27,sK22,sK20)
    | cong(sK27,sK22,sK27,sK20) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_7578,plain,
    para(sK20,sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_5924,c_7004]) ).

cnf(c_7579,plain,
    para(sK20,sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_5982,c_7004]) ).

cnf(c_7705,plain,
    ( ~ midp(sK26,sK21,sK20)
    | cong(sK26,sK21,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_7969,plain,
    ( ~ cong(sK27,sK22,X0,X1)
    | ~ cong(sK27,sK20,sK27,sK22)
    | cong(sK27,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_8247,plain,
    ( ~ cong(sK26,sK21,X0,X1)
    | ~ cong(sK26,sK20,sK26,sK21)
    | cong(sK26,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_8286,plain,
    coll(sK28,sK22,sK25),
    inference(superposition,[status(thm)],[c_7279,c_49]) ).

cnf(c_8291,plain,
    coll(sK22,sK25,sK28),
    inference(superposition,[status(thm)],[c_7280,c_50]) ).

cnf(c_8531,plain,
    coll(sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_5877,c_6030]) ).

cnf(c_8543,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_8556,plain,
    ( ~ para(sK20,sK20,sK20,sK20)
    | ~ coll(sK20,sK20,sK20)
    | cyclic(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_8543]) ).

cnf(c_8575,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK21,X2)
    | ~ midp(sK28,X1,sK22)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6320,c_94]) ).

cnf(c_8576,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK20,X2)
    | ~ midp(sK27,X1,sK22)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6321,c_94]) ).

cnf(c_8577,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK20,X2)
    | ~ midp(sK26,X1,sK21)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6322,c_94]) ).

cnf(c_8578,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK22,X2)
    | ~ midp(sK28,X1,sK21)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6323,c_94]) ).

cnf(c_8579,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK22,X2)
    | ~ midp(sK27,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6324,c_94]) ).

cnf(c_8580,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X0,sK21,X2)
    | ~ midp(sK26,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6325,c_94]) ).

cnf(c_8581,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X2,sK21,X0)
    | ~ midp(sK22,X1,sK28)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6381,c_94]) ).

cnf(c_8584,plain,
    ( ~ coll(X0,X1,sK22)
    | ~ midp(X0,sK20,X2)
    | ~ midp(sK27,X1,X2)
    | midp(X0,X1,sK22) ),
    inference(superposition,[status(thm)],[c_6394,c_94]) ).

cnf(c_8585,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(X2,sK20,X0)
    | ~ midp(sK21,X1,sK26)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6405,c_94]) ).

cnf(c_8586,plain,
    ( ~ coll(X0,X1,sK21)
    | ~ midp(X0,sK20,X2)
    | ~ midp(sK26,X1,X2)
    | midp(X0,X1,sK21) ),
    inference(superposition,[status(thm)],[c_6406,c_94]) ).

cnf(c_8587,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK28,X0,X2)
    | ~ midp(sK21,X1,sK22)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6487,c_94]) ).

cnf(c_8589,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK26,X0,X2)
    | ~ midp(sK20,X1,sK21)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6489,c_94]) ).

cnf(c_8591,plain,
    ( ~ coll(X0,X1,X2)
    | ~ midp(sK27,X0,X2)
    | ~ midp(sK22,X1,sK20)
    | midp(X0,X1,X2) ),
    inference(superposition,[status(thm)],[c_6491,c_94]) ).

cnf(c_8608,plain,
    ( ~ coll(sK21,X0,sK20)
    | ~ midp(sK20,X0,sK21)
    | midp(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_7579,c_94]) ).

cnf(c_8729,plain,
    ( ~ coll(sK21,sK20,sK20)
    | ~ midp(sK20,sK20,sK21)
    | midp(sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_8608]) ).

cnf(c_8749,plain,
    ( ~ coll(sK20,sK20,sK21)
    | ~ midp(sK20,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | midp(sK20,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_8586]) ).

cnf(c_9033,plain,
    ( ~ midp(sK27,X0,X1)
    | para(X1,sK22,sK20,X0) ),
    inference(superposition,[status(thm)],[c_6585,c_53]) ).

cnf(c_9050,plain,
    ( ~ midp(sK27,sK20,sK20)
    | para(sK20,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9033]) ).

cnf(c_9098,plain,
    ( ~ midp(sK26,X0,X1)
    | para(X1,sK21,sK20,X0) ),
    inference(superposition,[status(thm)],[c_6596,c_53]) ).

cnf(c_9115,plain,
    ( ~ midp(sK26,sK20,sK20)
    | para(sK20,sK21,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_9098]) ).

cnf(c_9159,plain,
    coll(sK22,sK22,sK21),
    inference(superposition,[status(thm)],[c_5879,c_6031]) ).

cnf(c_9703,plain,
    ( ~ midp(sK27,sK20,sK22)
    | para(sK20,sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_6415]) ).

cnf(c_10083,plain,
    ( ~ para(sK20,sK22,sK20,sK22)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_7438,c_113]) ).

cnf(c_10085,plain,
    ( ~ para(sK20,sK21,sK20,sK21)
    | ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_7578,c_113]) ).

cnf(c_10090,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK21,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10085,c_7578]) ).

cnf(c_10096,plain,
    ( ~ midp(X0,sK20,sK20)
    | midp(X0,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_10083,c_7438]) ).

cnf(c_10234,plain,
    ( ~ midp(sK20,sK20,sK20)
    | midp(sK20,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_10096]) ).

cnf(c_10542,plain,
    coll(sK21,sK21,sK22),
    inference(superposition,[status(thm)],[c_5885,c_6034]) ).

cnf(c_10714,plain,
    coll(sK21,sK25,sK28),
    inference(superposition,[status(thm)],[c_8286,c_6028]) ).

cnf(c_10726,plain,
    coll(sK20,sK28,sK22),
    inference(superposition,[status(thm)],[c_8291,c_6019]) ).

cnf(c_11625,plain,
    para(sK26,sK23,sK26,sK23),
    inference(superposition,[status(thm)],[c_171,c_7014]) ).

cnf(c_11629,plain,
    ( ~ para(sK26,sK23,sK26,sK23)
    | ~ midp(X0,sK26,sK26)
    | midp(X0,sK23,sK23) ),
    inference(superposition,[status(thm)],[c_11625,c_113]) ).

cnf(c_11639,plain,
    ( ~ midp(X0,sK26,sK26)
    | midp(X0,sK23,sK23) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_11629,c_11625]) ).

cnf(c_12136,plain,
    coll(sK27,sK20,sK20),
    inference(superposition,[status(thm)],[c_6365,c_6038]) ).

cnf(c_12250,plain,
    ( ~ para(sK22,sK22,X0,X1)
    | ~ para(sK20,sK20,sK22,sK22)
    | para(sK20,sK20,X0,X1) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_12254,plain,
    ( ~ para(sK20,sK20,sK22,sK22)
    | para(sK22,sK22,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_12261,plain,
    ( ~ para(sK20,sK20,sK22,sK22)
    | ~ para(sK22,sK22,sK20,sK20)
    | para(sK20,sK20,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_12250]) ).

cnf(c_12536,plain,
    cong(sK23,sK20,sK23,sK20),
    inference(superposition,[status(thm)],[c_6730,c_7461]) ).

cnf(c_12570,plain,
    coll(sK26,sK26,sK20),
    inference(superposition,[status(thm)],[c_5896,c_6039]) ).

cnf(c_12571,plain,
    coll(sK26,sK20,sK20),
    inference(superposition,[status(thm)],[c_6889,c_6039]) ).

cnf(c_13113,plain,
    coll(sK21,sK28,sK25),
    inference(superposition,[status(thm)],[c_10714,c_49]) ).

cnf(c_13126,plain,
    coll(sK28,sK20,sK22),
    inference(superposition,[status(thm)],[c_10726,c_50]) ).

cnf(c_13373,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(sK28,X1,X2)
    | para(sK26,X0,sK22,X2) ),
    inference(superposition,[status(thm)],[c_6487,c_6816]) ).

cnf(c_13413,plain,
    ( ~ midp(sK28,sK21,X0)
    | para(sK26,sK26,sK22,X0) ),
    inference(superposition,[status(thm)],[c_172,c_13373]) ).

cnf(c_13735,plain,
    ( ~ coll(sK26,X0,X1)
    | ~ midp(sK28,sK21,X1)
    | ~ midp(sK26,X0,sK22)
    | midp(sK26,X0,X1) ),
    inference(superposition,[status(thm)],[c_13413,c_94]) ).

cnf(c_13737,plain,
    ( ~ para(sK22,X0,X1,X2)
    | ~ midp(sK28,sK21,X0)
    | para(sK26,sK26,X1,X2) ),
    inference(superposition,[status(thm)],[c_13413,c_54]) ).

cnf(c_13739,plain,
    ( ~ midp(sK28,sK21,X0)
    | para(sK26,sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_13413,c_52]) ).

cnf(c_13935,plain,
    ( ~ midp(sK26,X0,X1)
    | ~ coll(sK26,X0,sK22)
    | ~ midp(sK28,sK21,X1)
    | midp(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_13739,c_94]) ).

cnf(c_13962,plain,
    ( ~ coll(sK26,sK20,sK22)
    | ~ midp(sK28,sK21,sK20)
    | ~ midp(sK26,sK20,sK20)
    | midp(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_13935]) ).

cnf(c_14787,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(sK26,X2,X1)
    | para(sK20,X2,sK26,X0) ),
    inference(superposition,[status(thm)],[c_6405,c_6823]) ).

cnf(c_14788,plain,
    ( ~ midp(sK28,X0,X1)
    | ~ midp(sK26,X2,X0)
    | para(sK20,X2,sK22,X1) ),
    inference(superposition,[status(thm)],[c_6487,c_6823]) ).

cnf(c_14818,plain,
    ( ~ midp(sK20,sK20,sK20)
    | ~ midp(sK26,sK20,sK20)
    | para(sK20,sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_14787]) ).

cnf(c_14825,plain,
    ( ~ midp(sK26,X0,sK21)
    | para(sK20,X0,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_168,c_14788]) ).

cnf(c_14838,plain,
    ( ~ midp(sK26,X0,sK21)
    | para(sK22,sK22,sK20,X0) ),
    inference(superposition,[status(thm)],[c_14825,c_53]) ).

cnf(c_16350,plain,
    coll(sK26,sK20,sK26),
    inference(superposition,[status(thm)],[c_12570,c_49]) ).

cnf(c_16793,plain,
    coll(sK25,sK26,sK20),
    inference(superposition,[status(thm)],[c_8531,c_6180]) ).

cnf(c_16815,plain,
    coll(sK22,sK25,sK21),
    inference(superposition,[status(thm)],[c_13113,c_6031]) ).

cnf(c_16821,plain,
    coll(sK28,sK22,sK20),
    inference(superposition,[status(thm)],[c_13126,c_49]) ).

cnf(c_17397,plain,
    ( ~ para(sK20,X0,sK26,X1)
    | para(sK20,X0,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_17398,plain,
    ( ~ para(sK20,sK20,sK26,sK20)
    | para(sK20,sK20,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_17397]) ).

cnf(c_17657,plain,
    coll(sK20,sK26,sK26),
    inference(superposition,[status(thm)],[c_16350,c_50]) ).

cnf(c_17659,plain,
    coll(sK21,sK26,sK26),
    inference(superposition,[status(thm)],[c_16350,c_6027]) ).

cnf(c_18007,plain,
    ( ~ perp(sK24,sK25,sK20,sK23)
    | perp(sK20,sK23,sK24,sK25) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_18169,plain,
    coll(sK25,sK20,sK26),
    inference(superposition,[status(thm)],[c_16793,c_49]) ).

cnf(c_18286,plain,
    ( ~ midp(sK21,sK20,sK22)
    | cong(sK25,sK20,sK25,sK20) ),
    inference(superposition,[status(thm)],[c_6932,c_7455]) ).

cnf(c_18403,plain,
    coll(sK21,sK20,sK28),
    inference(superposition,[status(thm)],[c_16821,c_6028]) ).

cnf(c_18446,plain,
    coll(sK20,sK21,sK22),
    inference(superposition,[status(thm)],[c_16815,c_6019]) ).

cnf(c_19443,plain,
    ( ~ cong(sK27,X0,sK27,X1)
    | ~ coll(sK27,X0,X1)
    | midp(sK27,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_19444,plain,
    ( ~ cong(sK27,sK20,sK27,sK20)
    | ~ coll(sK27,sK20,sK20)
    | midp(sK27,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_19443]) ).

cnf(c_19445,plain,
    ( ~ cong(sK26,X0,sK26,X1)
    | ~ coll(sK26,X0,X1)
    | midp(sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_19446,plain,
    ( ~ cong(sK26,sK20,sK26,sK20)
    | ~ coll(sK26,sK20,sK20)
    | midp(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_19445]) ).

cnf(c_19491,plain,
    coll(sK20,sK22,sK21),
    inference(superposition,[status(thm)],[c_10542,c_6256]) ).

cnf(c_19596,plain,
    ( ~ midp(sK26,X0,sK21)
    | ~ midp(sK28,sK21,sK22)
    | para(sK26,sK26,sK20,X0) ),
    inference(superposition,[status(thm)],[c_14838,c_13737]) ).

cnf(c_19599,plain,
    ( ~ midp(sK26,X0,sK21)
    | para(sK26,sK26,sK20,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_19596,c_168]) ).

cnf(c_19660,plain,
    ( ~ perp(sK20,X0,X1,X2)
    | ~ midp(sK26,X0,sK21)
    | perp(sK26,sK26,X1,X2) ),
    inference(superposition,[status(thm)],[c_19599,c_58]) ).

cnf(c_20195,plain,
    ( ~ midp(sK26,sK21,sK21)
    | perp(sK26,sK26,sK26,sK23) ),
    inference(superposition,[status(thm)],[c_171,c_19660]) ).

cnf(c_20314,plain,
    coll(sK27,sK21,sK22),
    inference(superposition,[status(thm)],[c_9159,c_6286]) ).

cnf(c_20368,plain,
    coll(sK20,sK25,sK26),
    inference(superposition,[status(thm)],[c_18169,c_50]) ).

cnf(c_20370,plain,
    coll(sK22,sK26,sK25),
    inference(superposition,[status(thm)],[c_18169,c_6013]) ).

cnf(c_20410,plain,
    ( ~ cong(sK27,sK22,sK27,X0)
    | ~ cong(sK27,sK20,sK27,sK22)
    | cong(sK27,sK20,sK27,X0) ),
    inference(instantiation,[status(thm)],[c_7969]) ).

cnf(c_20412,plain,
    ( ~ cong(sK27,sK20,sK27,sK22)
    | ~ cong(sK27,sK22,sK27,sK20)
    | cong(sK27,sK20,sK27,sK20) ),
    inference(instantiation,[status(thm)],[c_20410]) ).

cnf(c_20445,plain,
    ( ~ midp(sK26,sK21,sK21)
    | perp(sK26,sK23,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_20195,c_56]) ).

cnf(c_20497,plain,
    ( ~ cong(sK26,sK21,sK26,X0)
    | ~ cong(sK26,sK20,sK26,sK21)
    | cong(sK26,sK20,sK26,X0) ),
    inference(instantiation,[status(thm)],[c_8247]) ).

cnf(c_20499,plain,
    ( ~ cong(sK26,sK20,sK26,sK21)
    | ~ cong(sK26,sK21,sK26,sK20)
    | cong(sK26,sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_20497]) ).

cnf(c_20511,plain,
    coll(sK22,sK25,sK26),
    inference(superposition,[status(thm)],[c_20370,c_49]) ).

cnf(c_20718,plain,
    coll(sK26,sK28,sK21),
    inference(superposition,[status(thm)],[c_18403,c_6042]) ).

cnf(c_20735,plain,
    coll(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_18446,c_6039]) ).

cnf(c_21382,plain,
    coll(sK22,sK20,sK21),
    inference(superposition,[status(thm)],[c_19491,c_50]) ).

cnf(c_21976,plain,
    coll(sK22,sK26,sK20),
    inference(superposition,[status(thm)],[c_20368,c_6017]) ).

cnf(c_22199,plain,
    ( ~ midp(sK28,sK20,sK22)
    | ~ midp(sK26,sK21,sK20)
    | midp(sK26,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_12571,c_8575]) ).

cnf(c_22980,plain,
    ( ~ midp(sK28,sK20,sK22)
    | midp(sK26,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_22199,c_5853]) ).

cnf(c_23716,plain,
    ( ~ coll(sK22,sK25,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_20511,c_51]) ).

cnf(c_23719,plain,
    coll(sK22,sK26,sK22),
    inference(superposition,[status(thm)],[c_20511,c_6161]) ).

cnf(c_23720,plain,
    coll(sK20,sK26,sK22),
    inference(superposition,[status(thm)],[c_20511,c_6019]) ).

cnf(c_23726,plain,
    ( ~ coll(sK22,sK25,sK20)
    | coll(sK26,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_23716]) ).

cnf(c_23799,plain,
    midp(sK26,sK20,sK20),
    inference(global_subsumption_just,[status(thm)],[c_22980,c_172,c_5853,c_6104,c_6264,c_6889,c_7705,c_19446,c_20499]) ).

cnf(c_24085,plain,
    ( ~ midp(sK21,sK20,sK26)
    | ~ midp(sK27,sK26,sK22)
    | midp(sK21,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_17659,c_8576]) ).

cnf(c_24847,plain,
    ( ~ para(X0,X1,sK22,X2)
    | ~ para(sK21,X3,X0,X1)
    | para(sK21,X3,sK22,X2) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_24848,plain,
    ( ~ para(sK20,sK20,sK22,sK20)
    | ~ para(sK21,sK20,sK20,sK20)
    | para(sK21,sK20,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_24847]) ).

cnf(c_25077,plain,
    ( ~ para(sK24,sK25,X0,X1)
    | ~ perp(X0,X1,sK20,sK23)
    | perp(sK24,sK25,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_25078,plain,
    ( ~ para(sK24,sK25,sK20,sK20)
    | ~ perp(sK20,sK20,sK20,sK23)
    | perp(sK24,sK25,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_25077]) ).

cnf(c_25466,plain,
    coll(sK28,sK26,sK21),
    inference(superposition,[status(thm)],[c_20718,c_50]) ).

cnf(c_26102,plain,
    ( ~ midp(sK27,sK20,sK22)
    | ~ midp(sK26,sK21,sK21)
    | midp(sK27,sK21,sK22) ),
    inference(superposition,[status(thm)],[c_20314,c_8577]) ).

cnf(c_26185,plain,
    ( ~ midp(sK26,sK21,sK21)
    | midp(sK27,sK21,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_26102,c_170]) ).

cnf(c_27623,plain,
    coll(sK22,sK20,sK26),
    inference(superposition,[status(thm)],[c_21976,c_49]) ).

cnf(c_27705,plain,
    coll(sK26,sK22,sK22),
    inference(superposition,[status(thm)],[c_23719,c_50]) ).

cnf(c_28098,plain,
    ( ~ midp(sK21,sK20,sK22)
    | ~ midp(sK28,sK24,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_165,c_8587]) ).

cnf(c_28145,plain,
    ( ~ midp(sK21,sK20,sK22)
    | ~ midp(sK28,sK22,sK21)
    | midp(sK22,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_21382,c_8587]) ).

cnf(c_29131,plain,
    ( ~ midp(sK21,sK20,sK22)
    | midp(sK22,sK20,sK21) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_28145,c_5851]) ).

cnf(c_30135,plain,
    ( ~ midp(sK21,sK20,sK22)
    | midp(sK24,sK20,sK21) ),
    inference(global_subsumption_just,[status(thm)],[c_28098,c_6961,c_29131]) ).

cnf(c_30179,plain,
    coll(sK28,sK21,sK26),
    inference(superposition,[status(thm)],[c_25466,c_49]) ).

cnf(c_33067,plain,
    coll(sK27,sK26,sK22),
    inference(superposition,[status(thm)],[c_27623,c_6041]) ).

cnf(c_33542,plain,
    coll(sK22,sK26,sK28),
    inference(superposition,[status(thm)],[c_30179,c_6025]) ).

cnf(c_33744,plain,
    ( ~ midp(sK20,sK20,sK21)
    | ~ midp(sK26,sK24,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(superposition,[status(thm)],[c_165,c_8589]) ).

cnf(c_35621,plain,
    ( ~ para(X0,sK20,X1,sK22)
    | ~ para(X0,sK22,X1,sK20)
    | ~ midp(sK21,X0,X1)
    | midp(sK21,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_35622,plain,
    ( ~ para(sK20,sK20,sK20,sK22)
    | ~ para(sK20,sK22,sK20,sK20)
    | ~ midp(sK21,sK20,sK20)
    | midp(sK21,sK20,sK22) ),
    inference(instantiation,[status(thm)],[c_35621]) ).

cnf(c_35921,plain,
    midp(sK24,sK20,sK21),
    inference(global_subsumption_just,[status(thm)],[c_33744,c_172,c_170,c_178,c_182,c_236,c_5853,c_5852,c_5889,c_6104,c_6105,c_6107,c_6121,c_6182,c_6226,c_6232,c_6263,c_6264,c_6365,c_6590,c_6889,c_7539,c_7705,c_8556,c_8729,c_8749,c_9050,c_9703,c_12254,c_12261,c_19444,c_19446,c_20412,c_20499,c_30135,c_35622]) ).

cnf(c_35927,plain,
    ( ~ midp(sK28,sK21,X0)
    | para(sK26,sK24,sK22,X0) ),
    inference(superposition,[status(thm)],[c_35921,c_13373]) ).

cnf(c_37314,plain,
    ( ~ coll(sK24,X0,X1)
    | ~ midp(sK28,sK21,X1)
    | ~ midp(sK26,X0,sK22)
    | midp(sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_35927,c_94]) ).

cnf(c_37341,plain,
    ( ~ coll(sK24,sK20,sK20)
    | ~ midp(sK28,sK21,sK20)
    | ~ midp(sK26,sK20,sK22)
    | midp(sK24,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_37314]) ).

cnf(c_41652,plain,
    ( ~ para(X0,X1,X2,sK21)
    | ~ para(X0,sK21,X2,X1)
    | ~ midp(sK28,X0,X2)
    | midp(sK28,sK21,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_41653,plain,
    ( ~ para(sK20,sK20,sK20,sK21)
    | ~ para(sK20,sK21,sK20,sK20)
    | ~ midp(sK28,sK20,sK20)
    | midp(sK28,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_41652]) ).

cnf(c_42759,plain,
    ( ~ cong(sK25,sK20,sK25,X0)
    | ~ coll(sK25,sK20,X0)
    | midp(sK25,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_42760,plain,
    ( ~ cong(sK25,sK20,sK25,sK20)
    | ~ coll(sK25,sK20,sK20)
    | midp(sK25,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_42759]) ).

cnf(c_44255,plain,
    ( ~ coll(sK23,sK20,sK20)
    | midp(sK23,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_12536,c_116]) ).

cnf(c_60974,plain,
    midp(sK26,sK21,sK21),
    inference(superposition,[status(thm)],[c_23799,c_10090]) ).

cnf(c_60989,plain,
    midp(sK27,sK21,sK22),
    inference(backward_subsumption_resolution,[status(thm)],[c_26185,c_60974]) ).

cnf(c_60996,plain,
    perp(sK26,sK23,sK26,sK26),
    inference(backward_subsumption_resolution,[status(thm)],[c_20445,c_60974]) ).

cnf(c_61025,plain,
    midp(sK27,sK22,sK21),
    inference(superposition,[status(thm)],[c_60989,c_59]) ).

cnf(c_61193,plain,
    para(sK20,sK21,sK26,sK26),
    inference(superposition,[status(thm)],[c_60996,c_7004]) ).

cnf(c_61269,plain,
    ( ~ midp(sK28,sK20,sK21)
    | ~ midp(sK27,sK22,sK20)
    | midp(sK27,sK20,sK20) ),
    inference(superposition,[status(thm)],[c_12136,c_8578]) ).

cnf(c_62606,plain,
    ( ~ midp(sK28,sK20,sK21)
    | midp(sK27,sK20,sK20) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_61269,c_5852]) ).

cnf(c_63933,plain,
    ( ~ midp(sK24,X0,X1)
    | ~ midp(sK25,X0,X2)
    | para(sK24,sK25,X1,X2) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_63934,plain,
    ( ~ midp(sK24,sK20,sK20)
    | ~ midp(sK25,sK20,sK20)
    | para(sK24,sK25,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_63933]) ).

cnf(c_64141,plain,
    ( ~ perp(X0,sK20,sK20,X1)
    | ~ midp(sK23,X0,X1)
    | cong(X0,sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_64142,plain,
    ( ~ perp(sK20,sK20,sK20,sK20)
    | ~ midp(sK23,sK20,sK20)
    | cong(sK20,sK23,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_64141]) ).

cnf(c_64201,plain,
    ( ~ coll(sK21,X0,sK26)
    | ~ midp(sK20,X0,sK26)
    | midp(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_61193,c_94]) ).

cnf(c_64219,plain,
    ( ~ coll(sK21,sK20,sK26)
    | ~ midp(sK20,sK20,sK26)
    | midp(sK21,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_64201]) ).

cnf(c_64409,plain,
    midp(sK27,sK20,sK20),
    inference(global_subsumption_just,[status(thm)],[c_62606,c_170,c_5852,c_6105,c_6263,c_6365,c_7539,c_19444,c_20412]) ).

cnf(c_64520,plain,
    ( ~ midp(sK20,sK22,sK26)
    | ~ midp(sK27,sK20,sK20)
    | midp(sK20,sK20,sK26) ),
    inference(superposition,[status(thm)],[c_8531,c_8579]) ).

cnf(c_64783,plain,
    ( ~ midp(sK20,sK22,sK22)
    | ~ midp(sK27,sK26,sK20)
    | midp(sK20,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_23720,c_8579]) ).

cnf(c_64831,plain,
    ( ~ midp(sK27,sK22,sK22)
    | ~ midp(sK27,sK26,sK20)
    | midp(sK27,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_33067,c_8579]) ).

cnf(c_65845,plain,
    ( ~ midp(sK20,sK22,sK26)
    | midp(sK20,sK20,sK26) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_64520,c_64409]) ).

cnf(c_68020,plain,
    ( ~ midp(sK28,sK21,sK22)
    | ~ midp(sK26,sK20,sK20)
    | midp(sK28,sK20,sK22) ),
    inference(superposition,[status(thm)],[c_13126,c_8580]) ).

cnf(c_68073,plain,
    ( ~ midp(sK27,sK21,sK22)
    | ~ midp(sK26,sK22,sK20)
    | midp(sK27,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_6550,c_8580]) ).

cnf(c_69316,plain,
    ( ~ midp(sK26,sK22,sK20)
    | midp(sK27,sK22,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_68073,c_60989]) ).

cnf(c_69422,plain,
    midp(sK28,sK20,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_68020,c_23799,c_168]) ).

cnf(c_70263,plain,
    ( ~ cong(X0,sK20,X1,sK20)
    | ~ cong(X0,sK23,X1,sK23)
    | perp(X0,X1,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_70264,plain,
    ( ~ cong(sK20,sK20,sK20,sK20)
    | ~ cong(sK20,sK23,sK20,sK23)
    | perp(sK20,sK20,sK20,sK23) ),
    inference(instantiation,[status(thm)],[c_70263]) ).

cnf(c_71657,plain,
    ( ~ midp(sK22,sK26,sK28)
    | ~ midp(sK26,sK21,sK20)
    | midp(sK20,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_17657,c_8581]) ).

cnf(c_72703,plain,
    ( ~ midp(sK22,sK26,sK28)
    | midp(sK20,sK26,sK26) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_71657,c_5853]) ).

cnf(c_79650,plain,
    ( ~ coll(sK26,X0,sK22)
    | ~ midp(sK27,X0,sK21)
    | midp(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_172,c_8584]) ).

cnf(c_79982,plain,
    ( ~ midp(sK27,sK22,sK21)
    | midp(sK26,sK22,sK22) ),
    inference(superposition,[status(thm)],[c_27705,c_79650]) ).

cnf(c_79986,plain,
    midp(sK26,sK22,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_79982,c_61025]) ).

cnf(c_80056,plain,
    ( ~ para(X0,X1,X2,sK26)
    | para(X2,sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_80057,plain,
    ( ~ para(sK20,sK20,sK20,sK26)
    | para(sK20,sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_80056]) ).

cnf(c_80652,plain,
    ( ~ midp(sK21,sK26,sK26)
    | ~ midp(sK28,sK20,sK22)
    | midp(sK22,sK26,sK28) ),
    inference(superposition,[status(thm)],[c_33542,c_8585]) ).

cnf(c_81071,plain,
    ( ~ midp(sK21,sK26,sK26)
    | midp(sK22,sK26,sK28) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_80652,c_69422]) ).

cnf(c_83533,plain,
    ( ~ coll(sK26,sK22,X0)
    | ~ midp(sK28,sK21,X0)
    | midp(sK26,sK22,X0) ),
    inference(superposition,[status(thm)],[c_79986,c_13735]) ).

cnf(c_83545,plain,
    ( ~ coll(sK26,sK22,sK20)
    | ~ midp(sK28,sK21,sK20)
    | midp(sK26,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_83533]) ).

cnf(c_87695,plain,
    ( ~ midp(sK22,sK26,sK20)
    | ~ midp(sK27,sK20,sK22)
    | midp(sK20,sK26,sK22) ),
    inference(superposition,[status(thm)],[c_23720,c_8591]) ).

cnf(c_88309,plain,
    ( ~ midp(sK22,sK26,sK20)
    | midp(sK20,sK26,sK22) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_87695,c_170]) ).

cnf(c_89827,plain,
    ( ~ para(X0,X1,X2,sK26)
    | ~ para(X0,sK26,X2,X1)
    | ~ midp(sK27,X0,X2)
    | midp(sK27,sK26,X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_89828,plain,
    ( ~ para(sK20,sK20,sK20,sK26)
    | ~ para(sK20,sK26,sK20,sK20)
    | ~ midp(sK27,sK20,sK20)
    | midp(sK27,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_89827]) ).

cnf(c_90844,plain,
    midp(sK20,sK26,sK22),
    inference(global_subsumption_just,[status(thm)],[c_88309,c_172,c_170,c_178,c_182,c_236,c_5853,c_5852,c_6104,c_6105,c_6182,c_6226,c_6263,c_6264,c_6365,c_6889,c_7539,c_7705,c_8556,c_9703,c_10234,c_12254,c_12261,c_14818,c_17398,c_19444,c_19446,c_20412,c_20499,c_64783,c_80057,c_89828]) ).

cnf(c_90850,plain,
    midp(sK20,sK22,sK26),
    inference(superposition,[status(thm)],[c_90844,c_59]) ).

cnf(c_90947,plain,
    ( ~ para(sK23,sK20,sK23,X0)
    | coll(sK23,sK20,X0) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_90954,plain,
    ( ~ para(sK23,sK20,sK23,sK20)
    | coll(sK23,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_90947]) ).

cnf(c_96105,plain,
    midp(sK22,sK26,sK28),
    inference(global_subsumption_just,[status(thm)],[c_81071,c_172,c_170,c_168,c_178,c_182,c_236,c_5853,c_5852,c_5902,c_6104,c_6105,c_6182,c_6226,c_6263,c_6264,c_6365,c_6416,c_6505,c_6601,c_6624,c_6889,c_7539,c_7705,c_8556,c_9115,c_9703,c_12254,c_12261,c_14818,c_17398,c_19444,c_19446,c_20412,c_20499,c_20735,c_24085,c_24848,c_41653,c_64219,c_65845,c_64831,c_69316,c_80057,c_81071,c_83545,c_89828,c_90850]) ).

cnf(c_96107,plain,
    midp(sK20,sK26,sK26),
    inference(backward_subsumption_resolution,[status(thm)],[c_72703,c_96105]) ).

cnf(c_96539,plain,
    midp(sK20,sK23,sK23),
    inference(superposition,[status(thm)],[c_96107,c_11639]) ).

cnf(c_96924,plain,
    ( ~ midp(sK20,X0,X1)
    | para(sK23,X0,sK23,X1) ),
    inference(superposition,[status(thm)],[c_96539,c_112]) ).

cnf(c_96933,plain,
    ( ~ midp(sK20,sK20,sK20)
    | para(sK23,sK20,sK23,sK20) ),
    inference(instantiation,[status(thm)],[c_96924]) ).

cnf(c_96934,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_96933,c_90954,c_70264,c_64142,c_63934,c_44255,c_42760,c_41653,c_37341,c_35622,c_25078,c_24848,c_23726,c_20499,c_20412,c_19446,c_19444,c_18286,c_18007,c_13962,c_12261,c_12254,c_9703,c_9115,c_9050,c_8749,c_8729,c_8556,c_7705,c_7539,c_6889,c_6624,c_6601,c_6590,c_6505,c_6416,c_6365,c_6264,c_6263,c_6235,c_6232,c_6226,c_6222,c_6182,c_6121,c_6107,c_6105,c_6104,c_5889,c_5852,c_5853,c_5827,c_236,c_187,c_182,c_178,c_162,c_168,c_170,c_172]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : GEO568+1 : TPTP v8.1.2. Released v7.5.0.
% 0.08/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.35  % Computer : n031.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Tue Aug 29 22:58:26 EDT 2023
% 0.12/0.35  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 27.99/4.67  % SZS status Started for theBenchmark.p
% 27.99/4.67  % SZS status Theorem for theBenchmark.p
% 27.99/4.67  
% 27.99/4.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 27.99/4.67  
% 27.99/4.67  ------  iProver source info
% 27.99/4.67  
% 27.99/4.67  git: date: 2023-05-31 18:12:56 +0000
% 27.99/4.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 27.99/4.67  git: non_committed_changes: false
% 27.99/4.67  git: last_make_outside_of_git: false
% 27.99/4.67  
% 27.99/4.67  ------ Parsing...
% 27.99/4.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 27.99/4.67  
% 27.99/4.67  ------ 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 
% 27.99/4.67  
% 27.99/4.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 27.99/4.67  
% 27.99/4.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 27.99/4.67  ------ Proving...
% 27.99/4.67  ------ Problem Properties 
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  clauses                                 123
% 27.99/4.67  conjectures                             11
% 27.99/4.67  EPR                                     86
% 27.99/4.67  Horn                                    113
% 27.99/4.67  unary                                   11
% 27.99/4.67  binary                                  37
% 27.99/4.67  lits                                    339
% 27.99/4.67  lits eq                                 4
% 27.99/4.67  fd_pure                                 0
% 27.99/4.67  fd_pseudo                               0
% 27.99/4.67  fd_cond                                 0
% 27.99/4.67  fd_pseudo_cond                          4
% 27.99/4.67  AC symbols                              0
% 27.99/4.67  
% 27.99/4.67  ------ Schedule dynamic 5 is on 
% 27.99/4.67  
% 27.99/4.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  ------ 
% 27.99/4.67  Current options:
% 27.99/4.67  ------ 
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  ------ Proving...
% 27.99/4.67  
% 27.99/4.67  
% 27.99/4.67  % SZS status Theorem for theBenchmark.p
% 27.99/4.67  
% 27.99/4.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 27.99/4.68  
% 27.99/4.68  
%------------------------------------------------------------------------------