TSTP Solution File: GEO596+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : GEO596+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 02:17:59 EDT 2024

% Result   : Theorem 72.01s 10.71s
% Output   : CNFRefutation 72.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   31
% Syntax   : Number of formulae    :  275 (  30 unt;   0 def)
%            Number of atoms       :  729 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  783 ( 329   ~; 320   |;  83   &)
%                                         (   0 <=>;  51  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :    8 (   8 usr;   8 con; 0-0 aty)
%            Number of variables   :  987 (   0 sgn 702   !;  24   ?)

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

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD16) ).

fof(f18,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X1,X0,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

fof(f20,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X8,X9,X10,X11,X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD20) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqangle(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11,X4,X5,X12,X13] :
      ( ( eqangle(X8,X9,X10,X11,X4,X5,X12,X13)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X4,X5,X12,X13) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD22) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( eqratio(X0,X1,X2,X3,X8,X9,X10,X11)
     => eqratio(X0,X1,X8,X9,X2,X3,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD29) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( eqangle(X0,X1,X8,X9,X2,X3,X8,X9)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD39) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X8,X9] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X8,X9,X2,X3,X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD40) ).

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

fof(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(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(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(f66,axiom,
    ! [X0,X1,X2,X3,X7] :
      ( ( coll(X7,X1,X3)
        & coll(X7,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X7,X0,X0,X2,X7,X1,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD65) ).

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(f74,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( para(X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X8,X9,X10,X11) )
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD73) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X8,X9,X10,X11] :
      ( ( cong(X8,X9,X10,X11)
        & eqratio(X0,X1,X2,X3,X8,X9,X10,X11) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD75) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X12,X18] :
      ( ( coll(X12,X1,X2)
        & para(X0,X4,X12,X5)
        & coll(X5,X2,X4)
        & coll(X5,X0,X1)
        & circle(X3,X0,X4,X18)
        & circle(X3,X0,X1,X2) )
     => eqangle(X12,X5,X5,X1,X5,X2,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416058) ).

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

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

fof(f100,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(rectify,[],[f18]) ).

fof(f102,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(rectify,[],[f20]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f21]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(rectify,[],[f22]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(rectify,[],[f29]) ).

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(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(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(f144,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X1,X3)
        & coll(X4,X0,X2)
        & para(X0,X1,X2,X3) )
     => eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    inference(rectify,[],[f66]) ).

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

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( cong(X4,X5,X6,X7)
        & eqratio(X0,X1,X2,X3,X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    inference(rectify,[],[f76]) ).

fof(f167,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7] :
        ( ( coll(X6,X1,X2)
          & para(X0,X4,X6,X5)
          & coll(X5,X2,X4)
          & coll(X5,X0,X1)
          & circle(X3,X0,X4,X7)
          & circle(X3,X0,X1,X2) )
       => eqangle(X6,X5,X5,X1,X5,X2,X2,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(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(f185,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(ennf_transformation,[],[f99]) ).

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

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f189,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f194,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f102]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f104]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f196]) ).

fof(f205,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f108]) ).

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(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(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(f265,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f144]) ).

fof(f266,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(flattening,[],[f265]) ).

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(f278,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f146]) ).

fof(f279,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f278]) ).

fof(f282,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f148]) ).

fof(f283,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(flattening,[],[f282]) ).

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

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

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

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

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

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

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

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

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

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

fof(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(f372,plain,
    ! [X2,X3,X0,X1,X4] :
      ( cyclic(X0,X1,X2,X3)
      | ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1) ),
    inference(cnf_transformation,[],[f186]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f187]) ).

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

fof(f377,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f380,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f195]) ).

fof(f381,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f388,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f205]) ).

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(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(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(f425,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ coll(X4,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f266]) ).

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(f433,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ para(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f279]) ).

fof(f435,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f283]) ).

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

fof(f476,plain,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f359]) ).

fof(f477,plain,
    para(sK20,sK24,sK26,sK25),
    inference(cnf_transformation,[],[f359]) ).

fof(f479,plain,
    ~ eqangle(sK26,sK25,sK25,sK21,sK25,sK22,sK22,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_57,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,X4,X5)
    | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f368]) ).

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

cnf(c_62,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f373]) ).

cnf(c_64,plain,
    ( ~ cyclic(X0,X1,X2,X3)
    | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f375]) ).

cnf(c_66,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f377]) ).

cnf(c_68,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_69,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_70,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
    | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f381]) ).

cnf(c_77,plain,
    ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
    | eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f388]) ).

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_105,plain,
    ( ~ cong(X0,X1,X2,X1)
    | ~ cong(X0,X3,X2,X3)
    | perp(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f416]) ).

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_114,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ coll(X4,X0,X2)
    | ~ coll(X4,X1,X3)
    | eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    inference(cnf_transformation,[],[f425]) ).

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_122,plain,
    ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ para(X4,X5,X6,X7)
    | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f433]) ).

cnf(c_124,plain,
    ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ cong(X4,X5,X6,X7)
    | cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f435]) ).

cnf(c_162,negated_conjecture,
    ~ eqangle(sK26,sK25,sK25,sK21,sK25,sK22,sK22,sK21),
    inference(cnf_transformation,[],[f479]) ).

cnf(c_164,negated_conjecture,
    para(sK20,sK24,sK26,sK25),
    inference(cnf_transformation,[],[f477]) ).

cnf(c_165,negated_conjecture,
    coll(sK25,sK22,sK24),
    inference(cnf_transformation,[],[f476]) ).

cnf(c_166,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(cnf_transformation,[],[f475]) ).

cnf(c_174,plain,
    ( ~ cong(sK25,sK25,sK25,sK25)
    | ~ coll(sK25,sK25,sK25)
    | midp(sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_178,plain,
    ( ~ para(sK25,sK25,sK25,sK25)
    | eqangle(sK25,sK25,sK25,sK25,sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_183,plain,
    ( ~ cong(sK25,sK25,sK25,sK25)
    | perp(sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_232,plain,
    ( ~ eqangle(sK25,sK25,sK25,sK25,sK25,sK25,sK25,sK25)
    | ~ cyclic(sK25,sK25,sK25,sK25)
    | cong(sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_4824,negated_conjecture,
    coll(sK25,sK20,sK21),
    inference(demodulation,[status(thm)],[c_166]) ).

cnf(c_4825,negated_conjecture,
    coll(sK25,sK22,sK24),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_4826,negated_conjecture,
    para(sK20,sK24,sK26,sK25),
    inference(demodulation,[status(thm)],[c_164]) ).

cnf(c_6368,plain,
    coll(sK25,sK21,sK20),
    inference(superposition,[status(thm)],[c_4824,c_49]) ).

cnf(c_6375,plain,
    coll(sK22,sK25,sK24),
    inference(superposition,[status(thm)],[c_4825,c_50]) ).

cnf(c_6392,plain,
    coll(sK21,sK25,sK20),
    inference(superposition,[status(thm)],[c_6368,c_50]) ).

cnf(c_6397,plain,
    coll(sK22,sK24,sK25),
    inference(superposition,[status(thm)],[c_6375,c_49]) ).

cnf(c_6405,plain,
    coll(sK21,sK20,sK25),
    inference(superposition,[status(thm)],[c_6392,c_49]) ).

cnf(c_6424,plain,
    para(sK20,sK24,sK25,sK26),
    inference(superposition,[status(thm)],[c_4826,c_52]) ).

cnf(c_6429,plain,
    para(sK26,sK25,sK20,sK24),
    inference(superposition,[status(thm)],[c_4826,c_53]) ).

cnf(c_6473,plain,
    ( ~ coll(sK25,sK22,X0)
    | coll(sK24,X0,sK25) ),
    inference(superposition,[status(thm)],[c_4825,c_51]) ).

cnf(c_6474,plain,
    ( ~ coll(sK25,sK20,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_4824,c_51]) ).

cnf(c_6485,plain,
    ( ~ coll(sK22,sK24,X0)
    | coll(sK25,X0,sK22) ),
    inference(superposition,[status(thm)],[c_6397,c_51]) ).

cnf(c_6489,plain,
    ( ~ coll(sK21,sK20,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6405,c_51]) ).

cnf(c_6526,plain,
    ( ~ coll(sK21,sK20,sK25)
    | coll(sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_6489]) ).

cnf(c_6530,plain,
    ( ~ coll(sK22,sK24,sK25)
    | coll(sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_6485]) ).

cnf(c_6589,plain,
    coll(sK24,sK24,sK25),
    inference(superposition,[status(thm)],[c_4825,c_6473]) ).

cnf(c_6590,plain,
    ( ~ coll(sK24,sK24,X0)
    | coll(sK25,X0,sK24) ),
    inference(superposition,[status(thm)],[c_6589,c_51]) ).

cnf(c_6600,plain,
    coll(sK21,sK21,sK25),
    inference(superposition,[status(thm)],[c_4824,c_6474]) ).

cnf(c_6601,plain,
    ( ~ coll(sK21,sK21,X0)
    | coll(sK25,X0,sK21) ),
    inference(superposition,[status(thm)],[c_6600,c_51]) ).

cnf(c_6603,plain,
    coll(sK21,sK25,sK21),
    inference(superposition,[status(thm)],[c_6600,c_49]) ).

cnf(c_6613,plain,
    coll(sK25,sK21,sK21),
    inference(superposition,[status(thm)],[c_6603,c_50]) ).

cnf(c_6657,plain,
    ( ~ coll(sK25,sK21,X0)
    | coll(sK21,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6613,c_51]) ).

cnf(c_6662,plain,
    ( ~ coll(sK25,sK21,sK25)
    | coll(sK21,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_6657]) ).

cnf(c_6787,plain,
    coll(sK25,sK25,sK24),
    inference(superposition,[status(thm)],[c_6589,c_6590]) ).

cnf(c_6791,plain,
    coll(sK25,sK24,sK25),
    inference(superposition,[status(thm)],[c_6787,c_49]) ).

cnf(c_6799,plain,
    coll(sK25,sK25,sK21),
    inference(superposition,[status(thm)],[c_6600,c_6601]) ).

cnf(c_6804,plain,
    coll(sK25,sK21,sK25),
    inference(superposition,[status(thm)],[c_6799,c_49]) ).

cnf(c_6913,plain,
    ( ~ coll(sK25,sK24,X0)
    | coll(sK25,X0,sK25) ),
    inference(superposition,[status(thm)],[c_6791,c_51]) ).

cnf(c_6919,plain,
    ( ~ coll(sK25,sK24,sK25)
    | coll(sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_6913]) ).

cnf(c_6957,plain,
    ( ~ para(sK20,sK24,sK26,sK25)
    | eqangle(sK20,sK24,X0,X1,sK26,sK25,X0,X1) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_6958,plain,
    ( ~ para(sK20,sK24,sK26,sK25)
    | eqangle(sK20,sK24,sK25,sK25,sK26,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_6957]) ).

cnf(c_7163,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK20,sK24,sK26,sK25)
    | ~ para(sK20,sK24,sK26,sK25)
    | para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_122]) ).

cnf(c_7164,plain,
    ( ~ eqangle(sK25,sK25,sK25,sK25,sK20,sK24,sK26,sK25)
    | ~ para(sK20,sK24,sK26,sK25)
    | para(sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_7163]) ).

cnf(c_7202,plain,
    ( ~ para(sK20,sK24,X0,X1)
    | para(sK26,sK25,X0,X1) ),
    inference(superposition,[status(thm)],[c_6429,c_54]) ).

cnf(c_7461,plain,
    para(sK26,sK25,sK25,sK26),
    inference(superposition,[status(thm)],[c_6424,c_7202]) ).

cnf(c_7588,plain,
    para(sK25,sK26,sK26,sK25),
    inference(superposition,[status(thm)],[c_7461,c_53]) ).

cnf(c_8173,plain,
    para(sK25,sK26,sK25,sK26),
    inference(superposition,[status(thm)],[c_7588,c_52]) ).

cnf(c_8396,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_8409,plain,
    ( ~ para(sK25,sK25,sK25,sK25)
    | ~ coll(sK25,sK25,sK25)
    | cyclic(sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_8396]) ).

cnf(c_8705,plain,
    ( ~ eqangle(sK20,sK24,X0,X1,sK26,sK25,X0,X1)
    | eqangle(sK20,sK24,sK26,sK25,X0,X1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_69]) ).

cnf(c_8712,plain,
    ( ~ eqangle(sK20,sK24,sK25,sK25,sK26,sK25,sK25,sK25)
    | eqangle(sK20,sK24,sK26,sK25,sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_8705]) ).

cnf(c_11303,plain,
    ( ~ eqangle(sK20,sK24,sK26,sK25,X0,X1,X0,X1)
    | eqangle(X0,X1,X0,X1,sK20,sK24,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_11308,plain,
    ( ~ eqangle(sK20,sK24,sK26,sK25,sK25,sK25,sK25,sK25)
    | eqangle(sK25,sK25,sK25,sK25,sK20,sK24,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_11303]) ).

cnf(c_15016,plain,
    ( ~ para(X0,sK21,X1,sK25)
    | para(X1,sK25,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_15017,plain,
    ( ~ para(sK25,sK21,sK25,sK25)
    | para(sK25,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_15016]) ).

cnf(c_16052,plain,
    ( ~ perp(X0,sK25,X1,X2)
    | ~ perp(X1,X2,X3,sK22)
    | para(X0,sK25,X3,sK22) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_16053,plain,
    ( ~ perp(sK25,sK25,sK25,sK25)
    | ~ perp(sK25,sK25,sK25,sK22)
    | para(sK25,sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_16052]) ).

cnf(c_16370,plain,
    ( ~ para(sK25,sK26,sK25,sK26)
    | ~ midp(X0,sK25,sK25)
    | midp(X0,sK26,sK26) ),
    inference(superposition,[status(thm)],[c_8173,c_113]) ).

cnf(c_16382,plain,
    ( ~ midp(X0,sK25,sK25)
    | midp(X0,sK26,sK26) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_16370,c_8173]) ).

cnf(c_16385,plain,
    ( ~ midp(sK25,sK25,sK25)
    | midp(sK25,sK26,sK26) ),
    inference(instantiation,[status(thm)],[c_16382]) ).

cnf(c_18268,plain,
    ( ~ eqangle(sK25,sK22,sK22,sK21,sK26,sK25,sK25,sK21)
    | eqangle(sK26,sK25,sK25,sK21,sK25,sK22,sK22,sK21) ),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_25141,plain,
    ( ~ eqangle(sK22,sK25,sK22,sK21,sK26,sK25,sK25,sK21)
    | eqangle(sK25,sK22,sK22,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_66]) ).

cnf(c_36728,plain,
    ( ~ cong(X0,X1,X1,X1)
    | ~ cong(X0,sK22,X1,sK22)
    | perp(X0,X1,X1,sK22) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_36729,plain,
    ( ~ cong(sK25,sK25,sK25,sK25)
    | ~ cong(sK25,sK22,sK25,sK22)
    | perp(sK25,sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_36728]) ).

cnf(c_36735,plain,
    ( ~ cong(X0,sK26,X1,sK26)
    | ~ cong(X0,sK25,X1,sK25)
    | perp(X0,X1,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_105]) ).

cnf(c_36736,plain,
    ( ~ cong(sK25,sK26,sK25,sK26)
    | ~ cong(sK25,sK25,sK25,sK25)
    | perp(sK25,sK25,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_36735]) ).

cnf(c_39997,plain,
    ( ~ perp(X0,X1,X2,X3)
    | ~ perp(X2,X3,sK26,sK25)
    | para(X0,X1,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_40001,plain,
    ( ~ perp(sK25,sK25,sK26,sK25)
    | ~ perp(sK25,sK25,sK25,sK25)
    | para(sK25,sK25,sK26,sK25) ),
    inference(instantiation,[status(thm)],[c_39997]) ).

cnf(c_42559,plain,
    ( ~ para(X0,X1,X2,sK21)
    | ~ midp(X0,X3,X2)
    | ~ coll(X1,X3,sK21)
    | midp(X1,X3,sK21) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_42560,plain,
    ( ~ para(sK25,sK25,sK25,sK21)
    | ~ coll(sK25,sK25,sK21)
    | ~ midp(sK25,sK25,sK25)
    | midp(sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_42559]) ).

cnf(c_42602,plain,
    ( ~ para(X0,X1,X2,sK22)
    | ~ midp(X0,X3,X2)
    | ~ coll(X1,X3,sK22)
    | midp(X1,X3,sK22) ),
    inference(instantiation,[status(thm)],[c_94]) ).

cnf(c_42603,plain,
    ( ~ para(sK25,sK25,sK25,sK22)
    | ~ coll(sK25,sK25,sK22)
    | ~ midp(sK25,sK25,sK25)
    | midp(sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_42602]) ).

cnf(c_44879,plain,
    ( ~ midp(sK25,X0,sK21)
    | cong(sK25,X0,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_44880,plain,
    ( ~ midp(sK25,sK25,sK21)
    | cong(sK25,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_44879]) ).

cnf(c_56096,plain,
    ( ~ midp(X0,X1,sK22)
    | cong(X0,X1,X0,sK22) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_56097,plain,
    ( ~ midp(sK25,sK25,sK22)
    | cong(sK25,sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_56096]) ).

cnf(c_56973,plain,
    ( ~ midp(X0,sK26,sK26)
    | cong(X0,sK26,X0,sK26) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_56974,plain,
    ( ~ midp(sK25,sK26,sK26)
    | cong(sK25,sK26,sK25,sK26) ),
    inference(instantiation,[status(thm)],[c_56973]) ).

cnf(c_77171,plain,
    ( ~ para(X0,sK25,X1,X2)
    | eqangle(X0,sK25,X3,sK22,X1,X2,X3,sK22) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_77172,plain,
    ( ~ para(sK25,sK25,sK25,sK25)
    | eqangle(sK25,sK25,sK25,sK22,sK25,sK25,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_77171]) ).

cnf(c_90729,plain,
    ( ~ para(X0,X1,sK26,sK25)
    | eqangle(X0,X1,sK25,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_88]) ).

cnf(c_90731,plain,
    ( ~ para(sK25,sK25,sK26,sK25)
    | eqangle(sK25,sK25,sK25,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_90729]) ).

cnf(c_91086,plain,
    ( ~ eqangle(X0,sK25,X0,sK22,sK25,sK25,sK25,sK22)
    | ~ coll(X0,sK25,sK22)
    | cyclic(sK25,sK22,X0,sK25) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_91087,plain,
    ( ~ eqangle(sK25,sK25,sK25,sK22,sK25,sK25,sK25,sK22)
    | ~ coll(sK25,sK25,sK22)
    | cyclic(sK25,sK22,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_91086]) ).

cnf(c_147848,plain,
    ( ~ midp(X0,X1,X2)
    | ~ midp(sK21,X1,sK25)
    | para(X0,sK21,X2,sK25) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_147849,plain,
    ( ~ midp(sK25,sK25,sK25)
    | ~ midp(sK21,sK25,sK25)
    | para(sK25,sK21,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_147848]) ).

cnf(c_191778,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK26,sK25,sK25,sK21)
    | ~ eqangle(sK22,sK25,sK22,sK21,X0,X1,X2,X3)
    | eqangle(sK22,sK25,sK22,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_70]) ).

cnf(c_191824,plain,
    ( ~ eqangle(X0,X1,X2,X3,sK25,sK22,X2,X3)
    | para(X0,X1,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_87]) ).

cnf(c_191985,plain,
    ( ~ eqratio(sK21,X0,sK21,X1,X2,X3,X4,X5)
    | ~ cong(X2,X3,X4,X5)
    | cong(sK21,X0,sK21,X1) ),
    inference(instantiation,[status(thm)],[c_124]) ).

cnf(c_191986,plain,
    ( ~ eqratio(sK21,sK25,sK21,sK25,sK25,sK25,sK25,sK25)
    | ~ cong(sK25,sK25,sK25,sK25)
    | cong(sK21,sK25,sK21,sK25) ),
    inference(instantiation,[status(thm)],[c_191985]) ).

cnf(c_192136,plain,
    ( ~ cong(sK21,X0,sK21,X1)
    | ~ coll(sK21,X0,X1)
    | midp(sK21,X0,X1) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_192137,plain,
    ( ~ cong(sK21,sK25,sK21,sK25)
    | ~ coll(sK21,sK25,sK25)
    | midp(sK21,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_192136]) ).

cnf(c_192534,plain,
    ( ~ para(X0,X1,X2,sK22)
    | ~ para(X0,sK22,X2,X1)
    | ~ midp(X3,X0,X2)
    | midp(X3,X1,sK22) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_192639,plain,
    ( ~ eqangle(sK25,sK22,sK25,X0,sK25,sK22,sK25,X0)
    | para(sK25,sK22,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_191824]) ).

cnf(c_192640,plain,
    ( ~ cyclic(sK22,X0,sK25,sK25)
    | eqangle(sK25,sK22,sK25,X0,sK25,sK22,sK25,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_192641,plain,
    ( ~ eqangle(sK25,sK22,sK25,sK25,sK25,sK22,sK25,sK25)
    | para(sK25,sK22,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_192639]) ).

cnf(c_192642,plain,
    ( ~ cyclic(sK22,sK25,sK25,sK25)
    | eqangle(sK25,sK22,sK25,sK25,sK25,sK22,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_192640]) ).

cnf(c_192718,plain,
    ( ~ eqangle(X0,X1,sK25,sK21,sK26,sK25,sK25,sK21)
    | ~ eqangle(sK22,sK25,sK22,sK21,X0,X1,sK25,sK21)
    | eqangle(sK22,sK25,sK22,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_191778]) ).

cnf(c_192719,plain,
    ( ~ eqangle(sK25,sK25,sK25,sK21,sK26,sK25,sK25,sK21)
    | ~ eqangle(sK22,sK25,sK22,sK21,sK25,sK25,sK25,sK21)
    | eqangle(sK22,sK25,sK22,sK21,sK26,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_192718]) ).

cnf(c_192980,plain,
    ( ~ cyclic(sK25,sK21,sK22,X0)
    | eqangle(sK22,sK25,sK22,sK21,X0,sK25,X0,sK21) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_192982,plain,
    ( ~ cyclic(sK25,sK21,sK22,sK25)
    | eqangle(sK22,sK25,sK22,sK21,sK25,sK25,sK25,sK21) ),
    inference(instantiation,[status(thm)],[c_192980]) ).

cnf(c_193234,plain,
    ( ~ eqratio(sK21,X0,X1,X2,sK21,X3,X4,X5)
    | eqratio(sK21,X0,sK21,X3,X1,X2,X4,X5) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_193235,plain,
    ( ~ eqratio(sK21,sK25,sK25,sK25,sK21,sK25,sK25,sK25)
    | eqratio(sK21,sK25,sK21,sK25,sK25,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_193234]) ).

cnf(c_194404,plain,
    ( ~ cyclic(X0,sK22,sK25,sK25)
    | cyclic(sK22,X0,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_64]) ).

cnf(c_194405,plain,
    ( ~ cyclic(sK25,sK22,sK25,sK25)
    | cyclic(sK22,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_194404]) ).

cnf(c_194441,plain,
    ( ~ cong(X0,X1,X0,sK25)
    | ~ cong(X0,X1,X0,sK21)
    | ~ cong(X0,X1,X0,sK22)
    | cyclic(X1,sK21,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_61]) ).

cnf(c_194442,plain,
    ( ~ cong(sK25,sK25,sK25,sK25)
    | ~ cong(sK25,sK25,sK25,sK21)
    | ~ cong(sK25,sK25,sK25,sK22)
    | cyclic(sK25,sK21,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_194441]) ).

cnf(c_194456,plain,
    ( ~ cyclic(sK25,sK21,X0,sK22)
    | cyclic(sK25,sK21,sK22,X0) ),
    inference(instantiation,[status(thm)],[c_62]) ).

cnf(c_194457,plain,
    ( ~ cyclic(sK25,sK21,sK25,sK22)
    | cyclic(sK25,sK21,sK22,sK25) ),
    inference(instantiation,[status(thm)],[c_194456]) ).

cnf(c_195452,plain,
    ( ~ midp(X0,sK22,sK22)
    | cong(X0,sK22,X0,sK22) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_195453,plain,
    ( ~ midp(sK25,sK22,sK22)
    | cong(sK25,sK22,sK25,sK22) ),
    inference(instantiation,[status(thm)],[c_195452]) ).

cnf(c_198639,plain,
    ( ~ para(sK25,sK22,sK25,sK22)
    | ~ midp(X0,sK25,sK25)
    | midp(X0,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_192534]) ).

cnf(c_198640,plain,
    ( ~ para(sK25,sK22,sK25,sK22)
    | ~ midp(sK25,sK25,sK25)
    | midp(sK25,sK22,sK22) ),
    inference(instantiation,[status(thm)],[c_198639]) ).

cnf(c_199222,plain,
    ( ~ para(X0,X1,X2,X3)
    | ~ coll(sK21,X0,X2)
    | ~ coll(sK21,X1,X3)
    | eqratio(sK21,X0,X0,X2,sK21,X1,X1,X3) ),
    inference(instantiation,[status(thm)],[c_114]) ).

cnf(c_199223,plain,
    ( ~ para(sK25,sK25,sK25,sK25)
    | ~ coll(sK21,sK25,sK25)
    | eqratio(sK21,sK25,sK25,sK25,sK21,sK25,sK25,sK25) ),
    inference(instantiation,[status(thm)],[c_199222]) ).

cnf(c_199224,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_199223,c_198640,c_195453,c_194457,c_194442,c_194405,c_193235,c_192982,c_192719,c_192642,c_192641,c_192137,c_191986,c_147849,c_91087,c_90731,c_77172,c_56974,c_56097,c_44880,c_42603,c_42560,c_40001,c_36736,c_36729,c_25141,c_18268,c_16385,c_16053,c_15017,c_11308,c_8712,c_8409,c_7164,c_6958,c_6919,c_6804,c_6791,c_6662,c_6530,c_6526,c_6405,c_6397,c_232,c_183,c_178,c_174,c_162,c_164]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GEO596+1 : TPTP v8.1.2. Released v7.5.0.
% 0.10/0.12  % Command  : run_iprover %s %d THM
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Fri May  3 01:54:50 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.17/0.45  Running first-order theorem proving
% 0.17/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 72.01/10.71  % SZS status Started for theBenchmark.p
% 72.01/10.71  % SZS status Theorem for theBenchmark.p
% 72.01/10.71  
% 72.01/10.71  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 72.01/10.71  
% 72.01/10.71  ------  iProver source info
% 72.01/10.71  
% 72.01/10.71  git: date: 2024-05-02 19:28:25 +0000
% 72.01/10.71  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 72.01/10.71  git: non_committed_changes: false
% 72.01/10.71  
% 72.01/10.71  ------ Parsing...
% 72.01/10.71  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 72.01/10.71  
% 72.01/10.71  ------ 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 
% 72.01/10.71  
% 72.01/10.71  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 72.01/10.71  
% 72.01/10.71  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 72.01/10.71  ------ Proving...
% 72.01/10.71  ------ Problem Properties 
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  clauses                                 119
% 72.01/10.71  conjectures                             7
% 72.01/10.71  EPR                                     82
% 72.01/10.71  Horn                                    109
% 72.01/10.71  unary                                   7
% 72.01/10.71  binary                                  37
% 72.01/10.71  lits                                    335
% 72.01/10.71  lits eq                                 4
% 72.01/10.71  fd_pure                                 0
% 72.01/10.71  fd_pseudo                               0
% 72.01/10.71  fd_cond                                 0
% 72.01/10.71  fd_pseudo_cond                          4
% 72.01/10.71  AC symbols                              0
% 72.01/10.71  
% 72.01/10.71  ------ Schedule dynamic 5 is on 
% 72.01/10.71  
% 72.01/10.71  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  ------ 
% 72.01/10.71  Current options:
% 72.01/10.71  ------ 
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  ------ Proving...
% 72.01/10.71  
% 72.01/10.71  
% 72.01/10.71  % SZS status Theorem for theBenchmark.p
% 72.01/10.71  
% 72.01/10.71  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 72.01/10.71  
% 72.01/10.71  
%------------------------------------------------------------------------------