TSTP Solution File: GEO650+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO650+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.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 : Fri May  3 02:18:13 EDT 2024

% Result   : Theorem 68.84s 10.20s
% Output   : CNFRefutation 68.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  328 (  74 unt;   0 def)
%            Number of atoms       :  804 (   0 equ)
%            Maximal formula atoms :   26 (   2 avg)
%            Number of connectives :  800 ( 324   ~; 315   |; 117   &)
%                                         (   0 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-8 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  770 (   2 sgn 511   !;  30   ?)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(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/sandbox/benchmark/theBenchmark.p',ruleD25) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X18,X19,X20] :
      ( ( coll(X12,X0,X2)
        & coll(X12,X3,X5)
        & coll(X5,X0,X1)
        & perp(X5,X3,X0,X1)
        & perp(X1,X3,X1,X4)
        & perp(X2,X3,X2,X4)
        & perp(X1,X2,X20,X3)
        & midp(X20,X1,X2)
        & perp(X0,X2,X19,X3)
        & midp(X19,X0,X2)
        & perp(X0,X1,X18,X3)
        & midp(X18,X0,X1) )
     => para(X12,X4,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULLmoreE02211) ).

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

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

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

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

fof(f120,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(rectify,[],[f41]) ).

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

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

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

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

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

fof(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(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] :
        ( ( coll(X6,X0,X2)
          & coll(X6,X3,X5)
          & coll(X5,X0,X1)
          & perp(X5,X3,X0,X1)
          & perp(X1,X3,X1,X4)
          & perp(X2,X3,X2,X4)
          & perp(X1,X2,X9,X3)
          & midp(X9,X1,X2)
          & perp(X0,X2,X8,X3)
          & midp(X8,X0,X2)
          & perp(X0,X1,X7,X3)
          & midp(X7,X0,X1) )
       => para(X6,X4,X0,X1) ),
    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(f189,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f24]) ).

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

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

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

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

fof(f220,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f120]) ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

fof(f382,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f383,plain,
    ! [X2,X3,X0,X1] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f199]) ).

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

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

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

fof(f400,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f220]) ).

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

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

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

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

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

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

fof(f477,plain,
    midp(sK29,sK21,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f478,plain,
    perp(sK21,sK22,sK29,sK23),
    inference(cnf_transformation,[],[f359]) ).

fof(f480,plain,
    perp(sK21,sK23,sK21,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f482,plain,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f359]) ).

fof(f483,plain,
    coll(sK26,sK23,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f484,plain,
    coll(sK26,sK20,sK22),
    inference(cnf_transformation,[],[f359]) ).

fof(f485,plain,
    ~ para(sK26,sK24,sK20,sK21),
    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_64,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f375]) ).

cnf(c_71,plain,
    ( ~ cong(X0,X1,X2,X3)
    | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f382]) ).

cnf(c_72,plain,
    ( ~ cong(X0,X1,X2,X3)
    | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f383]) ).

cnf(c_73,plain,
    ( ~ cong(X0,X1,X2,X3)
    | ~ cong(X2,X3,X4,X5)
    | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f384]) ).

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

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

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

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

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

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

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

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

cnf(c_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_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,
    ~ para(sK26,sK24,sK20,sK21),
    inference(cnf_transformation,[],[f485]) ).

cnf(c_163,negated_conjecture,
    coll(sK26,sK20,sK22),
    inference(cnf_transformation,[],[f484]) ).

cnf(c_164,negated_conjecture,
    coll(sK26,sK23,sK25),
    inference(cnf_transformation,[],[f483]) ).

cnf(c_165,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f482]) ).

cnf(c_167,negated_conjecture,
    perp(sK21,sK23,sK21,sK24),
    inference(cnf_transformation,[],[f480]) ).

cnf(c_169,negated_conjecture,
    perp(sK21,sK22,sK29,sK23),
    inference(cnf_transformation,[],[f478]) ).

cnf(c_170,negated_conjecture,
    midp(sK29,sK21,sK22),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_174,negated_conjecture,
    midp(sK27,sK20,sK21),
    inference(cnf_transformation,[],[f473]) ).

cnf(c_180,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | midp(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_184,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_189,plain,
    ( ~ cong(sK21,sK21,sK21,sK21)
    | perp(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_205,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
    | ~ coll(sK21,sK21,sK21)
    | cyclic(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_238,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK21,sK21,sK21,sK21,sK21)
    | ~ cyclic(sK21,sK21,sK21,sK21)
    | cong(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_5847,plain,
    ( ~ coll(sK26,sK20,sK22)
    | coll(sK26,sK22,sK20) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_5852,plain,
    ( ~ coll(sK25,sK20,sK21)
    | coll(sK20,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_50]) ).

cnf(c_5855,plain,
    ( ~ midp(sK27,sK20,sK21)
    | midp(sK27,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_5861,plain,
    ( ~ midp(sK27,sK20,sK21)
    | cong(sK27,sK20,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_5884,plain,
    ( ~ midp(X0,sK20,X1)
    | ~ midp(sK27,sK20,sK21)
    | para(X0,sK27,X1,sK21) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_5906,plain,
    ( ~ perp(X0,X1,sK21,sK23)
    | ~ perp(sK21,sK23,sK21,sK24)
    | para(X0,X1,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_5907,plain,
    ( ~ perp(sK21,sK21,sK21,sK23)
    | ~ perp(sK21,sK23,sK21,sK24)
    | para(sK21,sK21,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_5906]) ).

cnf(c_5952,plain,
    coll(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_5968,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_6012,plain,
    midp(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_174,c_59]) ).

cnf(c_6052,plain,
    coll(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_6012,c_118]) ).

cnf(c_6090,plain,
    ( ~ coll(sK26,sK22,X0)
    | ~ coll(sK26,sK22,sK20)
    | coll(X0,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_6139,plain,
    coll(sK21,sK27,sK20),
    inference(superposition,[status(thm)],[c_6052,c_50]) ).

cnf(c_6165,plain,
    ( ~ coll(sK20,sK25,X0)
    | ~ coll(sK20,sK25,sK21)
    | coll(X0,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_6166,plain,
    ( ~ coll(sK20,sK25,sK21)
    | coll(sK21,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_6165]) ).

cnf(c_6212,plain,
    ( ~ midp(X0,X1,X2)
    | cong(X0,X1,X2,X0) ),
    inference(superposition,[status(thm)],[c_117,c_71]) ).

cnf(c_6270,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_6271,plain,
    ( ~ coll(sK26,sK23,X0)
    | coll(sK25,X0,sK26) ),
    inference(superposition,[status(thm)],[c_164,c_51]) ).

cnf(c_6272,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_6273,plain,
    ( ~ coll(sK26,sK22,X0)
    | coll(sK20,X0,sK26) ),
    inference(superposition,[status(thm)],[c_5952,c_51]) ).

cnf(c_6278,plain,
    ( ~ coll(sK20,sK25,X0)
    | coll(sK21,X0,sK20) ),
    inference(superposition,[status(thm)],[c_5968,c_51]) ).

cnf(c_6322,plain,
    ( ~ midp(sK27,sK21,sK20)
    | cong(sK27,sK21,sK27,sK20) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_6411,plain,
    coll(sK21,sK20,sK27),
    inference(superposition,[status(thm)],[c_6139,c_49]) ).

cnf(c_6426,plain,
    coll(sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_163,c_6270]) ).

cnf(c_6427,plain,
    ( ~ coll(sK22,sK22,X0)
    | coll(sK26,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6426,c_51]) ).

cnf(c_6433,plain,
    coll(sK25,sK25,sK26),
    inference(superposition,[status(thm)],[c_164,c_6271]) ).

cnf(c_6434,plain,
    ( ~ coll(sK25,sK25,X0)
    | coll(sK26,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6433,c_51]) ).

cnf(c_6437,plain,
    ( ~ coll(sK25,sK25,sK21)
    | coll(sK26,sK21,sK25) ),
    inference(instantiation,[status(thm)],[c_6434]) ).

cnf(c_6472,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_165,c_6272]) ).

cnf(c_6473,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6472,c_51]) ).

cnf(c_6475,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_6472,c_49]) ).

cnf(c_6500,plain,
    ( ~ coll(sK21,sK20,X0)
    | coll(sK27,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6411,c_51]) ).

cnf(c_6503,plain,
    ( ~ coll(sK21,sK20,sK21)
    | coll(sK27,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6500]) ).

cnf(c_6504,plain,
    ( ~ coll(sK21,sK25,X0)
    | coll(sK21,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6475,c_51]) ).

cnf(c_6507,plain,
    ( ~ coll(sK21,sK25,sK21)
    | coll(sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_6504]) ).

cnf(c_6518,plain,
    ( ~ cong(X0,X1,sK27,sK20)
    | ~ cong(sK27,sK20,sK27,sK21)
    | cong(X0,X1,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_73]) ).

cnf(c_6565,plain,
    ( ~ cyclic(X0,X1,X2,X2)
    | para(X2,X0,X2,X0) ),
    inference(superposition,[status(thm)],[c_89,c_87]) ).

cnf(c_6594,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_6625,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_6594,c_6278]) ).

cnf(c_6675,plain,
    perp(sK21,sK24,sK21,sK23),
    inference(superposition,[status(thm)],[c_167,c_56]) ).

cnf(c_6769,plain,
    ( ~ coll(sK26,sK20,X0)
    | coll(sK22,X0,sK26) ),
    inference(superposition,[status(thm)],[c_163,c_51]) ).

cnf(c_6771,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_6846,plain,
    coll(sK22,sK22,sK26),
    inference(superposition,[status(thm)],[c_163,c_6769]) ).

cnf(c_6864,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_165,c_6771]) ).

cnf(c_6895,plain,
    coll(sK21,sK20,sK21),
    inference(superposition,[status(thm)],[c_6625,c_49]) ).

cnf(c_7117,plain,
    coll(sK26,sK26,sK22),
    inference(superposition,[status(thm)],[c_6846,c_6427]) ).

cnf(c_7127,plain,
    coll(sK26,sK22,sK26),
    inference(superposition,[status(thm)],[c_7117,c_49]) ).

cnf(c_7161,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_6864,c_6473]) ).

cnf(c_7290,plain,
    perp(sK21,sK23,sK24,sK21),
    inference(resolution,[status(thm)],[c_55,c_167]) ).

cnf(c_7349,plain,
    perp(sK21,sK24,sK21,sK23),
    inference(resolution,[status(thm)],[c_56,c_167]) ).

cnf(c_7448,plain,
    perp(sK24,sK21,sK21,sK23),
    inference(resolution,[status(thm)],[c_7290,c_56]) ).

cnf(c_7450,plain,
    ( ~ midp(sK27,sK20,sK21)
    | para(sK27,sK27,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_5884]) ).

cnf(c_7636,plain,
    ( ~ perp(sK21,sK23,X0,X1)
    | para(sK21,sK24,X0,X1) ),
    inference(superposition,[status(thm)],[c_6675,c_57]) ).

cnf(c_7669,plain,
    ( ~ perp(sK21,sK23,sK21,sK21)
    | para(sK21,sK24,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_7636]) ).

cnf(c_8323,plain,
    ( ~ para(sK27,sK27,sK21,sK21)
    | para(sK21,sK21,sK27,sK27) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_8330,plain,
    ( ~ para(X0,X1,sK27,sK27)
    | ~ para(sK27,sK27,sK21,sK21)
    | para(X0,X1,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_54]) ).

cnf(c_8331,plain,
    ( ~ para(sK21,sK21,sK27,sK27)
    | ~ para(sK27,sK27,sK21,sK21)
    | para(sK21,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_8330]) ).

cnf(c_8420,plain,
    coll(sK26,sK22,sK20),
    inference(superposition,[status(thm)],[c_163,c_49]) ).

cnf(c_8448,plain,
    coll(sK20,sK20,sK26),
    inference(superposition,[status(thm)],[c_8420,c_6273]) ).

cnf(c_8501,plain,
    coll(sK20,sK26,sK20),
    inference(superposition,[status(thm)],[c_8448,c_49]) ).

cnf(c_8517,plain,
    perp(sK21,sK24,sK21,sK23),
    inference(superposition,[status(thm)],[c_167,c_56]) ).

cnf(c_8532,plain,
    coll(sK26,sK20,sK20),
    inference(superposition,[status(thm)],[c_8501,c_50]) ).

cnf(c_8553,plain,
    perp(sK21,sK24,sK23,sK21),
    inference(superposition,[status(thm)],[c_8517,c_55]) ).

cnf(c_8892,plain,
    ( ~ perp(sK21,sK24,X0,X1)
    | para(sK21,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_167,c_57]) ).

cnf(c_9056,plain,
    para(sK21,sK23,sK23,sK21),
    inference(superposition,[status(thm)],[c_8553,c_8892]) ).

cnf(c_9244,plain,
    ( ~ para(sK23,sK21,X0,X1)
    | para(sK21,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_9056,c_54]) ).

cnf(c_9247,plain,
    ( ~ para(sK23,sK21,sK21,sK21)
    | para(sK21,sK23,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_9244]) ).

cnf(c_10731,plain,
    ( ~ midp(X0,X1,sK20)
    | midp(X0,sK20,X1) ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_10732,plain,
    ( ~ midp(sK21,sK21,sK20)
    | midp(sK21,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_10731]) ).

cnf(c_11009,plain,
    ( ~ perp(sK21,sK23,X0,X1)
    | perp(X0,X1,sK21,sK23) ),
    inference(instantiation,[status(thm)],[c_56]) ).

cnf(c_11010,plain,
    ( ~ perp(sK21,sK23,sK21,sK21)
    | perp(sK21,sK21,sK21,sK23) ),
    inference(instantiation,[status(thm)],[c_11009]) ).

cnf(c_11212,plain,
    ( ~ midp(sK26,X0,sK20)
    | ~ midp(sK24,X0,sK21)
    | para(sK26,sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_11241,plain,
    ( ~ cong(sK27,X0,sK27,X1)
    | ~ coll(sK27,X0,X1)
    | midp(sK27,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_11242,plain,
    ( ~ cong(sK27,sK21,sK27,sK21)
    | ~ coll(sK27,sK21,sK21)
    | midp(sK27,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_11241]) ).

cnf(c_11281,plain,
    ( ~ coll(sK26,sK22,sK26)
    | ~ coll(sK26,sK22,sK20)
    | coll(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_6090]) ).

cnf(c_11313,plain,
    ( ~ perp(X0,X1,sK21,sK23)
    | para(X0,X1,sK21,sK24) ),
    inference(resolution,[status(thm)],[c_57,c_167]) ).

cnf(c_11381,plain,
    ( ~ coll(sK26,X0,sK25)
    | coll(sK26,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_11382,plain,
    ( ~ coll(sK26,sK21,sK25)
    | coll(sK26,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_11381]) ).

cnf(c_11714,plain,
    ( ~ para(X0,X1,sK21,sK23)
    | perp(X0,X1,sK21,sK24) ),
    inference(resolution,[status(thm)],[c_58,c_167]) ).

cnf(c_11738,plain,
    ( ~ para(X0,X1,sK21,sK24)
    | perp(X0,X1,sK21,sK23) ),
    inference(resolution,[status(thm)],[c_58,c_7349]) ).

cnf(c_12101,plain,
    para(sK24,sK21,sK21,sK24),
    inference(resolution,[status(thm)],[c_11313,c_7448]) ).

cnf(c_12315,plain,
    ( ~ para(X0,X1,sK21,sK23)
    | ~ midp(X1,sK21,sK24)
    | cong(X0,sK21,X0,sK24) ),
    inference(resolution,[status(thm)],[c_11714,c_104]) ).

cnf(c_12316,plain,
    ( ~ para(sK21,sK21,sK21,sK23)
    | ~ midp(sK21,sK21,sK24)
    | cong(sK21,sK21,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_12315]) ).

cnf(c_12444,plain,
    midp(sK27,sK21,sK20),
    inference(superposition,[status(thm)],[c_174,c_59]) ).

cnf(c_12633,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK27,X0,sK20,X1) ),
    inference(superposition,[status(thm)],[c_12444,c_93]) ).

cnf(c_14001,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK27,X0,X1,sK20) ),
    inference(superposition,[status(thm)],[c_12633,c_52]) ).

cnf(c_14211,plain,
    ( ~ cong(sK27,X0,sK27,sK20)
    | ~ cong(sK27,sK20,sK27,sK21)
    | cong(sK27,X0,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_6518]) ).

cnf(c_14213,plain,
    ( ~ cong(sK27,sK20,sK27,sK21)
    | ~ cong(sK27,sK21,sK27,sK20)
    | cong(sK27,sK21,sK27,sK21) ),
    inference(instantiation,[status(thm)],[c_14211]) ).

cnf(c_16129,plain,
    ( ~ coll(X0,X1,sK20)
    | ~ midp(X0,sK21,X2)
    | ~ midp(sK27,X1,X2)
    | midp(X0,X1,sK20) ),
    inference(superposition,[status(thm)],[c_14001,c_94]) ).

cnf(c_16140,plain,
    ( ~ coll(sK21,sK21,sK20)
    | ~ midp(sK21,sK21,sK21)
    | ~ midp(sK27,sK21,sK21)
    | midp(sK21,sK21,sK20) ),
    inference(instantiation,[status(thm)],[c_16129]) ).

cnf(c_16169,plain,
    ( ~ para(X0,sK24,X1,sK21)
    | ~ midp(X0,X2,X1)
    | ~ coll(sK24,X2,sK21)
    | midp(sK24,X2,sK21) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_16170,plain,
    ( ~ para(sK21,sK24,sK21,sK21)
    | ~ coll(sK24,sK21,sK21)
    | ~ midp(sK21,sK21,sK21)
    | midp(sK24,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_16169]) ).

cnf(c_16350,plain,
    ( ~ coll(sK21,X0,sK24)
    | ~ midp(sK24,X0,sK21)
    | midp(sK21,X0,sK24) ),
    inference(resolution,[status(thm)],[c_94,c_12101]) ).

cnf(c_16351,plain,
    ( ~ coll(sK21,sK21,sK24)
    | ~ midp(sK24,sK21,sK21)
    | midp(sK21,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_16350]) ).

cnf(c_16994,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(X2,X3,sK21,sK24)
    | para(X0,X1,sK21,sK23) ),
    inference(resolution,[status(thm)],[c_11738,c_57]) ).

cnf(c_16996,plain,
    ( ~ para(sK21,sK21,sK21,sK24)
    | ~ perp(sK21,sK21,sK21,sK21)
    | para(sK21,sK21,sK21,sK23) ),
    inference(instantiation,[status(thm)],[c_16994]) ).

cnf(c_21118,plain,
    perp(sK21,sK23,sK24,sK21),
    inference(superposition,[status(thm)],[c_167,c_55]) ).

cnf(c_21120,plain,
    perp(sK21,sK22,sK23,sK29),
    inference(superposition,[status(thm)],[c_169,c_55]) ).

cnf(c_21126,plain,
    perp(sK21,sK24,sK21,sK23),
    inference(superposition,[status(thm)],[c_167,c_56]) ).

cnf(c_21156,plain,
    perp(sK24,sK21,sK21,sK23),
    inference(superposition,[status(thm)],[c_21118,c_56]) ).

cnf(c_21160,plain,
    perp(sK23,sK29,sK21,sK22),
    inference(superposition,[status(thm)],[c_21120,c_56]) ).

cnf(c_21169,plain,
    perp(sK21,sK24,sK23,sK21),
    inference(superposition,[status(thm)],[c_21126,c_55]) ).

cnf(c_21175,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_165,c_51]) ).

cnf(c_21274,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_165,c_21175]) ).

cnf(c_21411,plain,
    ( ~ perp(sK21,sK24,X0,X1)
    | para(sK21,sK23,X0,X1) ),
    inference(superposition,[status(thm)],[c_167,c_57]) ).

cnf(c_21677,plain,
    ( ~ perp(sK21,sK23,X0,X1)
    | para(sK24,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_21156,c_57]) ).

cnf(c_21688,plain,
    ( ~ midp(sK29,sK21,sK22)
    | cong(sK23,sK21,sK23,sK22) ),
    inference(superposition,[status(thm)],[c_21160,c_104]) ).

cnf(c_21691,plain,
    cong(sK23,sK21,sK23,sK22),
    inference(forward_subsumption_resolution,[status(thm)],[c_21688,c_170]) ).

cnf(c_21694,plain,
    ( ~ cong(sK23,sK22,X0,X1)
    | cong(sK23,sK21,X0,X1) ),
    inference(superposition,[status(thm)],[c_21691,c_73]) ).

cnf(c_21695,plain,
    cong(sK23,sK22,sK23,sK21),
    inference(superposition,[status(thm)],[c_21691,c_72]) ).

cnf(c_21776,plain,
    para(sK21,sK23,sK23,sK21),
    inference(superposition,[status(thm)],[c_21169,c_21411]) ).

cnf(c_22039,plain,
    para(sK23,sK21,sK21,sK23),
    inference(superposition,[status(thm)],[c_21776,c_53]) ).

cnf(c_22151,plain,
    para(sK24,sK21,sK24,sK21),
    inference(superposition,[status(thm)],[c_21118,c_21677]) ).

cnf(c_22175,plain,
    coll(sK24,sK21,sK21),
    inference(superposition,[status(thm)],[c_22151,c_115]) ).

cnf(c_22254,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_21274,c_6473]) ).

cnf(c_22260,plain,
    coll(sK26,sK21,sK25),
    inference(superposition,[status(thm)],[c_22254,c_6434]) ).

cnf(c_22375,plain,
    coll(sK26,sK25,sK21),
    inference(superposition,[status(thm)],[c_22260,c_49]) ).

cnf(c_23929,plain,
    cong(sK23,sK21,sK23,sK21),
    inference(superposition,[status(thm)],[c_21695,c_21694]) ).

cnf(c_23967,plain,
    ( ~ coll(sK23,sK21,sK21)
    | midp(sK23,sK21,sK21) ),
    inference(superposition,[status(thm)],[c_23929,c_116]) ).

cnf(c_24353,plain,
    ( ~ coll(sK24,sK21,X0)
    | coll(sK21,X0,sK24) ),
    inference(superposition,[status(thm)],[c_22175,c_51]) ).

cnf(c_24358,plain,
    ( ~ coll(sK24,sK21,sK21)
    | coll(sK21,sK21,sK24) ),
    inference(instantiation,[status(thm)],[c_24353]) ).

cnf(c_25429,plain,
    ( ~ coll(sK26,sK25,X0)
    | coll(sK21,X0,sK26) ),
    inference(superposition,[status(thm)],[c_22375,c_51]) ).

cnf(c_25434,plain,
    ( ~ coll(sK26,sK25,sK21)
    | coll(sK21,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_25429]) ).

cnf(c_29663,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ para(sK21,sK23,X0,X1)
    | perp(sK21,sK23,X2,X3) ),
    inference(instantiation,[status(thm)],[c_58]) ).

cnf(c_29664,plain,
    ( ~ para(sK21,sK23,sK21,sK21)
    | ~ perp(sK21,sK21,sK21,sK21)
    | perp(sK21,sK23,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_29663]) ).

cnf(c_31979,plain,
    para(sK23,sK21,sK23,sK21),
    inference(superposition,[status(thm)],[c_22039,c_52]) ).

cnf(c_32033,plain,
    coll(sK23,sK21,sK21),
    inference(superposition,[status(thm)],[c_31979,c_115]) ).

cnf(c_32035,plain,
    midp(sK23,sK21,sK21),
    inference(backward_subsumption_resolution,[status(thm)],[c_23967,c_32033]) ).

cnf(c_32618,plain,
    ( ~ midp(X0,sK21,X1)
    | para(sK23,X0,sK21,X1) ),
    inference(superposition,[status(thm)],[c_32035,c_93]) ).

cnf(c_32621,plain,
    ( ~ midp(sK21,sK21,sK21)
    | para(sK23,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_32618]) ).

cnf(c_34318,plain,
    ( ~ midp(sK26,sK20,sK20)
    | ~ midp(sK24,sK20,sK21)
    | para(sK26,sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_11212]) ).

cnf(c_39955,plain,
    coll(sK20,sK25,sK21),
    inference(superposition,[status(thm)],[c_165,c_50]) ).

cnf(c_39992,plain,
    coll(sK21,sK21,sK20),
    inference(superposition,[status(thm)],[c_39955,c_6278]) ).

cnf(c_40152,plain,
    ( ~ cong(X0,X0,X0,X1)
    | para(X0,X0,X0,X1) ),
    inference(superposition,[status(thm)],[c_95,c_87]) ).

cnf(c_40227,plain,
    ( ~ midp(sK23,sK21,sK24)
    | cong(sK21,sK21,sK21,sK24) ),
    inference(superposition,[status(thm)],[c_167,c_104]) ).

cnf(c_40265,plain,
    cong(sK21,sK21,sK21,sK24),
    inference(global_subsumption_just,[status(thm)],[c_40227,c_174,c_167,c_180,c_184,c_189,c_205,c_238,c_5907,c_6475,c_6507,c_7450,c_7669,c_8323,c_8331,c_9247,c_11010,c_12316,c_16170,c_16351,c_16996,c_22175,c_24358,c_29664,c_32621]) ).

cnf(c_40270,plain,
    para(sK21,sK21,sK21,sK24),
    inference(superposition,[status(thm)],[c_40265,c_40152]) ).

cnf(c_40858,plain,
    coll(sK21,sK21,sK24),
    inference(superposition,[status(thm)],[c_40270,c_115]) ).

cnf(c_43416,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK24,X0,sK21) ),
    inference(superposition,[status(thm)],[c_40858,c_51]) ).

cnf(c_43444,plain,
    coll(sK24,sK20,sK21),
    inference(superposition,[status(thm)],[c_39992,c_43416]) ).

cnf(c_48851,plain,
    ( ~ para(X0,sK24,X1,sK21)
    | ~ midp(X0,sK20,X1)
    | ~ coll(sK24,sK20,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_16169]) ).

cnf(c_48852,plain,
    ( ~ para(sK21,sK24,sK21,sK21)
    | ~ coll(sK24,sK20,sK21)
    | ~ midp(sK21,sK20,sK21)
    | midp(sK24,sK20,sK21) ),
    inference(instantiation,[status(thm)],[c_48851]) ).

cnf(c_56059,plain,
    ( ~ para(X0,X1,X2,X3)
    | eqangle(X0,X1,X1,sK26,X2,X3,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_56060,plain,
    ( ~ para(sK21,sK21,sK21,sK21)
    | eqangle(sK21,sK21,sK21,sK26,sK21,sK21,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_56059]) ).

cnf(c_60907,plain,
    ( ~ para(X0,sK26,X1,X2)
    | ~ midp(X0,sK20,X1)
    | ~ coll(sK26,sK20,X2)
    | midp(sK26,sK20,X2) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_60972,plain,
    ( ~ cong(sK26,sK20,sK26,X0)
    | cong(sK26,X0,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_72]) ).

cnf(c_61212,plain,
    ( ~ eqangle(X0,sK26,X1,X2,X3,sK20,X1,X2)
    | para(X0,sK26,X3,sK20) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_61916,plain,
    ( ~ cong(sK26,sK20,sK26,sK26)
    | cong(sK26,sK26,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_60972]) ).

cnf(c_61917,plain,
    ( ~ midp(sK26,sK20,sK26)
    | cong(sK26,sK20,sK26,sK26) ),
    inference(instantiation,[status(thm)],[c_6212]) ).

cnf(c_63298,plain,
    ( ~ para(X0,sK26,X0,sK26)
    | ~ midp(X0,sK20,X0)
    | ~ coll(sK26,sK20,sK26)
    | midp(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_60907]) ).

cnf(c_63299,plain,
    ( ~ cyclic(sK26,X0,X1,X1)
    | para(X1,sK26,X1,sK26) ),
    inference(instantiation,[status(thm)],[c_6565]) ).

cnf(c_63300,plain,
    ( ~ para(sK21,sK26,sK21,sK26)
    | ~ coll(sK26,sK20,sK26)
    | ~ midp(sK21,sK20,sK21)
    | midp(sK26,sK20,sK26) ),
    inference(instantiation,[status(thm)],[c_63298]) ).

cnf(c_63301,plain,
    ( ~ cyclic(sK26,sK21,sK21,sK21)
    | para(sK21,sK26,sK21,sK26) ),
    inference(instantiation,[status(thm)],[c_63299]) ).

cnf(c_63516,plain,
    ( ~ eqangle(sK26,sK26,sK26,sK20,sK26,sK20,sK26,sK20)
    | para(sK26,sK26,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_61212]) ).

cnf(c_63517,plain,
    ( ~ cong(sK26,sK26,sK26,sK20)
    | eqangle(sK26,sK26,sK26,sK20,sK26,sK20,sK26,sK20) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_69665,plain,
    ( ~ cyclic(X0,sK26,X1,X1)
    | cyclic(sK26,X0,X1,X1) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_69666,plain,
    ( ~ cyclic(sK21,sK26,sK21,sK21)
    | cyclic(sK26,sK21,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_69665]) ).

cnf(c_72468,plain,
    ( ~ eqangle(X0,X0,X0,sK26,X1,X0,X1,sK26)
    | ~ coll(X0,X1,sK26)
    | cyclic(X0,sK26,X0,X1) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_72469,plain,
    ( ~ eqangle(sK21,sK21,sK21,sK26,sK21,sK21,sK21,sK26)
    | ~ coll(sK21,sK21,sK26)
    | cyclic(sK21,sK26,sK21,sK21) ),
    inference(instantiation,[status(thm)],[c_72468]) ).

cnf(c_78257,plain,
    ( ~ para(sK26,sK26,sK26,sK20)
    | ~ coll(sK26,sK20,sK20)
    | ~ midp(sK26,sK20,sK26)
    | midp(sK26,sK20,sK20) ),
    inference(instantiation,[status(thm)],[c_60907]) ).

cnf(c_78258,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_78257,c_72469,c_69666,c_63517,c_63516,c_63301,c_63300,c_61917,c_61916,c_56060,c_48852,c_43444,c_34318,c_32621,c_29664,c_25434,c_16140,c_14213,c_11382,c_11281,c_11242,c_10732,c_9247,c_8532,c_8331,c_8323,c_7669,c_7450,c_7161,c_7127,c_6895,c_6507,c_6503,c_6475,c_6437,c_6322,c_6166,c_5861,c_5855,c_5852,c_5847,c_238,c_205,c_189,c_184,c_180,c_162,c_163,c_165,c_174]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : GEO650+1 : TPTP v8.1.2. Released v7.5.0.
% 0.06/0.11  % Command  : run_iprover %s %d THM
% 0.10/0.31  % Computer : n016.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Fri May  3 01:52:45 EDT 2024
% 0.10/0.31  % CPUTime  : 
% 0.16/0.41  Running first-order theorem proving
% 0.16/0.41  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 68.84/10.20  % SZS status Started for theBenchmark.p
% 68.84/10.20  % SZS status Theorem for theBenchmark.p
% 68.84/10.20  
% 68.84/10.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 68.84/10.20  
% 68.84/10.20  ------  iProver source info
% 68.84/10.20  
% 68.84/10.20  git: date: 2024-05-02 19:28:25 +0000
% 68.84/10.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 68.84/10.20  git: non_committed_changes: false
% 68.84/10.20  
% 68.84/10.20  ------ Parsing...
% 68.84/10.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 68.84/10.20  
% 68.84/10.20  ------ 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 
% 68.84/10.20  
% 68.84/10.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 68.84/10.20  
% 68.84/10.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 68.84/10.20  ------ Proving...
% 68.84/10.20  ------ Problem Properties 
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  clauses                                 125
% 68.84/10.20  conjectures                             13
% 68.84/10.20  EPR                                     88
% 68.84/10.20  Horn                                    115
% 68.84/10.20  unary                                   13
% 68.84/10.20  binary                                  37
% 68.84/10.20  lits                                    341
% 68.84/10.20  lits eq                                 4
% 68.84/10.20  fd_pure                                 0
% 68.84/10.20  fd_pseudo                               0
% 68.84/10.20  fd_cond                                 0
% 68.84/10.20  fd_pseudo_cond                          4
% 68.84/10.20  AC symbols                              0
% 68.84/10.20  
% 68.84/10.20  ------ Input Options Time Limit: Unbounded
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  ------ 
% 68.84/10.20  Current options:
% 68.84/10.20  ------ 
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  ------ Proving...
% 68.84/10.20  
% 68.84/10.20  
% 68.84/10.20  % SZS status Theorem for theBenchmark.p
% 68.84/10.20  
% 68.84/10.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 68.84/10.20  
% 68.84/10.20  
%------------------------------------------------------------------------------