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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO642+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:21:43 PM UTC 2026

% Result   : Theorem 63.77s 12.49s
% Output   : CNFRefutation 63.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  354 (  28 unt;   0 def)
%            Number of atoms       :  949 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives : 1071 ( 476   ~; 470   |;  88   &)
%                                         (   0 <=>;  37  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-8 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   : 1024 (   0 sgn 990   !;  34   ?; 368   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD3) ).

fof(f5,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD7) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD10) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X2)
        & cong(X3,X0,X3,X1) )
     => circle(X3,X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

fof(f13,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD13) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X3) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD17) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

fof(f21,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f23,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD23) ).

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( cong(X0,X1,X2,X3)
     => cong(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD25) ).

fof(f39,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
     => para(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD39) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
     => eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD40) ).

fof(f41,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X2,X3,X1)
        & eqangle(X2,X0,X2,X1,X3,X0,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f44,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f46,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( coll(X4,X0,X2)
        & para(X3,X4,X1,X2)
        & midp(X3,X0,X1) )
     => midp(X4,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD45) ).

fof(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( perp(X3,X0,X0,X4)
        & circle(X3,X0,X1,X2) )
     => eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD48) ).

fof(f53,axiom,
    ! [X0,X1,X2,X3] :
      ( ( midp(X3,X0,X2)
        & perp(X0,X1,X1,X2) )
     => cong(X0,X3,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD52) ).

fof(f56,axiom,
    ! [X0,X1,X2,X3] :
      ( ( perp(X3,X2,X0,X1)
        & midp(X2,X0,X1) )
     => cong(X3,X0,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD55) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f58,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cyclic(X0,X1,X2,X3)
        & cong(X0,X3,X1,X3)
        & cong(X0,X2,X1,X2) )
     => perp(X2,X0,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

fof(f64,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X2,X3)
        & midp(X4,X0,X1) )
     => para(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD63) ).

fof(f65,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X3,X1,X2)
        & para(X0,X2,X1,X3)
        & midp(X4,X0,X1) )
     => midp(X4,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD64) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',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/Axioms/GEO012+0.ax',ruleD67) ).

fof(f69,axiom,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
     => cong(X0,X1,X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD68) ).

fof(f75,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( perp(X4,X5,X6,X7)
        & eqangle(X0,X1,X2,X3,X4,X5,X6,X7) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD74) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( ( coll(X8,X3,X4)
        & coll(X8,X0,X5)
        & coll(X7,X1,X4)
        & coll(X7,X0,X3)
        & coll(X6,X0,X5)
        & coll(X6,X1,X4)
        & circle(X3,X1,X5,X16)
        & circle(X2,X0,X5,X15)
        & circle(X3,X1,X13,X14)
        & circle(X2,X0,X4,X12)
        & circle(X2,X0,X3,X11)
        & circle(X2,X0,X9,X10)
        & midp(X2,X1,X0) )
     => perp(X7,X8,X0,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL81109108) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
        ( ( coll(X8,X3,X4)
          & coll(X8,X0,X5)
          & coll(X7,X1,X4)
          & coll(X7,X0,X3)
          & coll(X6,X0,X5)
          & coll(X6,X1,X4)
          & circle(X3,X1,X5,X16)
          & circle(X2,X0,X5,X15)
          & circle(X3,X1,X13,X14)
          & circle(X2,X0,X4,X12)
          & circle(X2,X0,X3,X11)
          & circle(X2,X0,X9,X10)
          & midp(X2,X1,X0) )
       => perp(X7,X8,X0,X5) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( coll(X8,X3,X4)
      & coll(X8,X0,X5)
      & coll(X7,X1,X4)
      & coll(X7,X0,X3)
      & coll(X6,X0,X5)
      & coll(X6,X1,X4)
      & circle(X3,X1,X5,X16)
      & circle(X2,X0,X5,X15)
      & circle(X3,X1,X13,X14)
      & circle(X2,X0,X4,X12)
      & circle(X2,X0,X3,X11)
      & circle(X2,X0,X9,X10)
      & midp(X2,X1,X0)
      & ~ perp(X7,X8,X0,X5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16] :
      ( coll(X8,X3,X4)
      & coll(X8,X0,X5)
      & coll(X7,X1,X4)
      & coll(X7,X0,X3)
      & coll(X6,X0,X5)
      & coll(X6,X1,X4)
      & circle(X3,X1,X5,X16)
      & circle(X2,X0,X5,X15)
      & circle(X3,X1,X13,X14)
      & circle(X2,X0,X4,X12)
      & circle(X2,X0,X3,X11)
      & circle(X2,X0,X9,X10)
      & midp(X2,X1,X0)
      & ~ perp(X7,X8,X0,X5) ),
    inference(flattening,[],[f98]) ).

fof(f121,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f122,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(flattening,[],[f121]) ).

fof(f123,plain,
    ! [X0,X1,X2] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(ennf_transformation,[],[f46]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(flattening,[],[f126]) ).

fof(f128,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f129,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f128]) ).

fof(f130,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f131,plain,
    ! [X0,X1,X2] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f136,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f75]) ).

fof(f137,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f136]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f143,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(flattening,[],[f142]) ).

fof(f144,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1)
      | cong(X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f145,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1)
      | cong(X3,X0,X3,X1) ),
    inference(flattening,[],[f144]) ).

fof(f146,plain,
    ! [X0,X1,X2,X3] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f147,plain,
    ! [X0,X1,X2,X3] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f146]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(flattening,[],[f148]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(flattening,[],[f150]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f157,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(ennf_transformation,[],[f65]) ).

fof(f158,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(flattening,[],[f157]) ).

fof(f159,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f160,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(flattening,[],[f159]) ).

fof(f177,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f178,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(flattening,[],[f177]) ).

fof(f179,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(flattening,[],[f179]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f184,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f190,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X4,X5) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f191,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X4,X5) ),
    inference(flattening,[],[f190]) ).

fof(f192,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f193,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f196,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(ennf_transformation,[],[f21]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f202,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f203,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3) ),
    inference(flattening,[],[f202]) ).

fof(f206,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(ennf_transformation,[],[f44]) ).

fof(f207,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(flattening,[],[f206]) ).

fof(f208,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f209,plain,
    ! [X0,X1,X2,X3] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f208]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f213,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f214,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(flattening,[],[f213]) ).

fof(f216,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f218,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(ennf_transformation,[],[f13]) ).

fof(f219,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(flattening,[],[f218]) ).

fof(f220,plain,
    ( coll(sK8,sK3,sK4)
    & coll(sK8,sK0,sK5)
    & coll(sK7,sK1,sK4)
    & coll(sK7,sK0,sK3)
    & coll(sK6,sK0,sK5)
    & coll(sK6,sK1,sK4)
    & circle(sK3,sK1,sK5,sK16)
    & circle(sK2,sK0,sK5,sK15)
    & circle(sK3,sK1,sK13,sK14)
    & circle(sK2,sK0,sK4,sK12)
    & circle(sK2,sK0,sK3,sK11)
    & circle(sK2,sK0,sK9,sK10)
    & midp(sK2,sK1,sK0)
    & ~ perp(sK7,sK8,sK0,sK5) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15),skolemize(X16,sK16)],[f99]) ).

fof(f239,plain,
    coll(sK8,sK3,sK4),
    inference(cnf_transformation,[],[f220]) ).

fof(f240,plain,
    coll(sK8,sK0,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f242,plain,
    coll(sK7,sK0,sK3),
    inference(cnf_transformation,[],[f220]) ).

fof(f243,plain,
    coll(sK6,sK0,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f251,plain,
    midp(sK2,sK1,sK0),
    inference(cnf_transformation,[],[f220]) ).

fof(f252,plain,
    ~ perp(sK7,sK8,sK0,sK5),
    inference(cnf_transformation,[],[f220]) ).

fof(f275,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f276,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ coll(X4,X0,X2)
      | ~ para(X3,X4,X1,X2)
      | ~ midp(X3,X0,X1)
      | midp(X4,X0,X2) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f280,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f130]) ).

fof(f281,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f131]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f289,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f143]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X3,X2,X0,X1)
      | ~ midp(X2,X0,X1)
      | cong(X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2)
      | cong(X0,X3,X1,X3) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f292,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f295,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f299,plain,
    ! [X2,X0,X1] :
      ( ~ midp(X0,X1,X2)
      | cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f300,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ para(X0,X3,X1,X2)
      | ~ para(X0,X2,X1,X3)
      | ~ midp(X4,X0,X1)
      | midp(X4,X2,X3) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f301,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f184]) ).

fof(f317,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f320,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X3)
      | cong(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f193]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f326,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f330,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3) ),
    inference(cnf_transformation,[],[f203]) ).

fof(f332,plain,
    ! [X2,X3,X0,X1,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(cnf_transformation,[],[f207]) ).

fof(f333,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X1)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f335,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f336,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f338,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f339,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f340,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cong(X4,X0,X4,X3)
      | ~ cong(X4,X0,X4,X2)
      | ~ cong(X4,X0,X4,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f219]) ).

tcf(c_49,negated_conjecture,
    ~ perp(sK7,sK8,sK0,sK5),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_50,negated_conjecture,
    midp(sK2,sK1,sK0),
    inference(cnf_transformation,[],[f251]) ).

tcf(c_58,negated_conjecture,
    coll(sK6,sK0,sK5),
    inference(cnf_transformation,[],[f243]) ).

tcf(c_59,negated_conjecture,
    coll(sK7,sK0,sK3),
    inference(cnf_transformation,[],[f242]) ).

tcf(c_61,negated_conjecture,
    coll(sK8,sK0,sK5),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_62,negated_conjecture,
    coll(sK8,sK3,sK4),
    inference(cnf_transformation,[],[f239]) ).

tcf(c_85,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f275]) ).

tcf(c_86,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f276]) ).

tcf(c_88,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( midp(X1,X4,X3)
      | ~ coll(X1,X4,X3)
      | ~ midp(X0,X4,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_89,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_90,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_96,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( perp(X0,X1,X2,X3)
      | ~ perp(X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f286]) ).

tcf(c_99,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X0,X2,X1,X3)
      | ~ cong(X0,X3,X2,X3)
      | ~ cong(X0,X1,X2,X1) ),
    inference(cnf_transformation,[],[f289]) ).

tcf(c_100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X2,X0,X3)
      | ~ midp(X1,X2,X3)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f290]) ).

tcf(c_101,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X3,X1,X3)
      | ~ midp(X3,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f291]) ).

tcf(c_102,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( perp(X4,X5,X2,X3)
      | ~ para(X4,X5,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f292]) ).

tcf(c_103,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f293]) ).

tcf(c_104,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f294]) ).

tcf(c_105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f295]) ).

tcf(c_109,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,X0,X2)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f299]) ).

tcf(c_110,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( midp(X4,X1,X3)
      | ~ midp(X4,X0,X2)
      | ~ para(X0,X3,X2,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f300]) ).

tcf(c_111,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X1,X3,X2,X4)
      | ~ midp(X0,X3,X4)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f301]) ).

tcf(c_121,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( eqangle(X1,X2,X1,X3,X4,X1,X4,X3)
      | ~ circle(X0,X1,X3,X4)
      | ~ perp(X0,X1,X1,X2) ),
    inference(cnf_transformation,[],[f311]) ).

tcf(c_122,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( circle(X0,X1,X2,X3)
      | ~ cong(X0,X1,X0,X3)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f312]) ).

tcf(c_124,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f314]) ).

tcf(c_125,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( para(X0,X1,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X2,X3) ),
    inference(cnf_transformation,[],[f315]) ).

tcf(c_127,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f317]) ).

tcf(c_130,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cong(X0,X1,X4,X5)
      | ~ cong(X2,X3,X4,X5)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f320]) ).

tcf(c_131,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X2,X3,X0,X1)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f321]) ).

tcf(c_132,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X1,X3,X2)
      | ~ cong(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f322]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_136,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f326]) ).

tcf(c_140,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( perp(X1,X0,X0,X3)
      | ~ cyclic(X0,X2,X1,X3)
      | ~ cong(X0,X3,X2,X3)
      | ~ cong(X0,X1,X2,X1) ),
    inference(cnf_transformation,[],[f330]) ).

tcf(c_142,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( cong(X1,X2,X4,X5)
      | ~ cyclic(X1,X2,X0,X5)
      | ~ cyclic(X1,X2,X0,X4)
      | ~ cyclic(X1,X2,X0,X3)
      | ~ eqangle(X0,X1,X0,X2,X3,X4,X3,X5) ),
    inference(cnf_transformation,[],[f332]) ).

tcf(c_143,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X1,X2,X0,X3)
      | ~ coll(X0,X3,X2)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,X2) ),
    inference(cnf_transformation,[],[f333]) ).

tcf(c_145,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f335]) ).

tcf(c_146,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( cyclic(X1,X2,X4,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f336]) ).

tcf(c_148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_149,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f339]) ).

tcf(c_150,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cong(X0,X1,X0,X4)
      | ~ cong(X0,X1,X0,X3)
      | ~ cong(X0,X1,X0,X2) ),
    inference(cnf_transformation,[],[f340]) ).

tcf(c_153,plain,
    ( coll(sK0,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_86]) ).

tcf(c_154,plain,
    ( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
    | ~ cyclic(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_145]) ).

tcf(c_160,plain,
    ( midp(sK0,sK0,sK0)
    | ~ coll(sK0,sK0,sK0)
    | ~ cong(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_162,plain,
    ( circle(sK0,sK0,sK0,sK0)
    | ~ cong(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_122]) ).

tcf(c_164,plain,
    ( perp(sK0,sK0,sK0,sK0)
    | ~ cong(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_99]) ).

tcf(c_202,plain,
    ( cong(sK0,sK0,sK0,sK0)
    | ~ cyclic(sK0,sK0,sK0,sK0)
    | ~ eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_142]) ).

tcf(c_2629,plain,
    ( coll(sK0,sK6,sK5)
    | ~ coll(sK6,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_2635,plain,
    ( coll(sK6,sK5,sK0)
    | ~ coll(sK6,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_2636,plain,
    ( coll(sK7,sK3,sK0)
    | ~ coll(sK7,sK0,sK3) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_2638,plain,
    ( coll(sK8,sK5,sK0)
    | ~ coll(sK8,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_2641,plain,
    ( cong(sK2,sK1,sK2,sK0)
    | ~ midp(sK2,sK1,sK0) ),
    inference(instantiation,[status(thm)],[c_109]) ).

tcf(c_2834,plain,
    ! [X0: $i] :
      ( coll(sK5,X0,sK0)
      | ~ coll(sK0,sK6,sK5)
      | ~ coll(sK0,sK6,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_2837,plain,
    ( coll(sK5,sK0,sK0)
    | ~ coll(sK0,sK6,sK5)
    | ~ coll(sK0,sK6,sK0) ),
    inference(instantiation,[status(thm)],[c_2834]) ).

tcf(c_2948,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK6)
      | ~ coll(sK6,sK5,sK0)
      | ~ coll(sK6,sK5,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_2951,plain,
    ( coll(sK0,sK0,sK6)
    | ~ coll(sK6,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_2948]) ).

tcf(c_2967,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK7)
      | ~ coll(sK7,sK3,sK0)
      | ~ coll(sK7,sK3,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_2970,plain,
    ( coll(sK0,sK0,sK7)
    | ~ coll(sK7,sK3,sK0) ),
    inference(instantiation,[status(thm)],[c_2967]) ).

tcf(c_3005,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK8)
      | ~ coll(sK8,sK5,sK0)
      | ~ coll(sK8,sK5,X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_3007,plain,
    ( coll(sK5,sK8,sK0)
    | ~ coll(sK8,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_3008,plain,
    ( coll(sK0,sK0,sK8)
    | ~ coll(sK8,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_3005]) ).

tcf(c_3069,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(sK1,sK0,X0,X1)
      | ~ cong(sK2,sK1,sK2,sK0)
      | ~ cong(sK2,sK1,sK2,X1)
      | ~ cong(sK2,sK1,sK2,X0) ),
    inference(instantiation,[status(thm)],[c_150]) ).

tcf(c_3073,plain,
    ( cyclic(sK1,sK0,sK0,sK0)
    | ~ cong(sK2,sK1,sK2,sK0) ),
    inference(instantiation,[status(thm)],[c_3069]) ).

tcf(c_3335,plain,
    coll(sK0,sK8,sK5),
    inference(superposition,[status(thm)],[c_61,c_90]) ).

tcf(c_3443,plain,
    coll(sK8,sK5,sK0),
    inference(superposition,[status(thm)],[c_61,c_91]) ).

tcf(c_3459,plain,
    coll(sK7,sK3,sK0),
    inference(superposition,[status(thm)],[c_59,c_91]) ).

tcf(c_3462,plain,
    coll(sK8,sK4,sK3),
    inference(superposition,[status(thm)],[c_62,c_91]) ).

tcf(c_3680,plain,
    coll(sK5,sK8,sK0),
    inference(superposition,[status(thm)],[c_3443,c_90]) ).

tcf(c_4116,plain,
    ! [X0: $i] :
      ( coll(sK3,X0,sK7)
      | ~ coll(sK7,sK0,X0) ),
    inference(superposition,[status(thm)],[c_59,c_89]) ).

tcf(c_4148,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK5)
      | ~ coll(sK5,sK8,X0) ),
    inference(superposition,[status(thm)],[c_3680,c_89]) ).

tcf(c_4246,plain,
    ( coll(sK0,sK0,sK5)
    | ~ coll(sK5,sK8,sK0) ),
    inference(instantiation,[status(thm)],[c_4148]) ).

tcf(c_4277,plain,
    ! [X0: $i] :
      ( coll(sK3,X0,sK7)
      | ~ coll(sK7,sK0,X0) ),
    inference(superposition,[status(thm)],[c_59,c_89]) ).

tcf(c_4286,plain,
    ! [X0: $i] :
      ( coll(sK5,X0,sK0)
      | ~ coll(sK0,sK8,X0) ),
    inference(superposition,[status(thm)],[c_3335,c_89]) ).

tcf(c_4290,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK7)
      | ~ coll(sK7,sK3,X0) ),
    inference(superposition,[status(thm)],[c_3459,c_89]) ).

tcf(c_4293,plain,
    ! [X0: $i] :
      ( coll(sK3,X0,sK8)
      | ~ coll(sK8,sK4,X0) ),
    inference(superposition,[status(thm)],[c_3462,c_89]) ).

tcf(c_5066,plain,
    coll(sK3,sK3,sK7),
    inference(superposition,[status(thm)],[c_59,c_4116]) ).

tcf(c_5071,plain,
    coll(sK3,sK3,sK7),
    inference(superposition,[status(thm)],[c_59,c_4277]) ).

tcf(c_5109,plain,
    ! [X0: $i] :
      ( coll(sK7,X0,sK3)
      | ~ coll(sK3,sK3,X0) ),
    inference(superposition,[status(thm)],[c_5066,c_89]) ).

tcf(c_5114,plain,
    ! [X0: $i] :
      ( coll(sK7,X0,sK3)
      | ~ coll(sK3,sK3,X0) ),
    inference(superposition,[status(thm)],[c_5071,c_89]) ).

tcf(c_5209,plain,
    ! [X0: $i] :
      ( coll(sK0,sK6,X0)
      | ~ coll(sK0,X0,sK6) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_5211,plain,
    ( coll(sK0,sK6,sK0)
    | ~ coll(sK0,sK0,sK6) ),
    inference(instantiation,[status(thm)],[c_5209]) ).

tcf(c_5309,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X2,X0,X2,X0)
      | ~ cyclic(X0,X1,X2,X2) ),
    inference(superposition,[status(thm)],[c_145,c_125]) ).

tcf(c_5312,plain,
    ( para(sK0,sK0,sK0,sK0)
    | ~ cyclic(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_5309]) ).

tcf(c_5341,plain,
    ! [X0: $i,X1: $i] :
      ( coll(sK7,X1,sK0)
      | ~ coll(sK0,X0,sK7)
      | ~ coll(sK0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_5345,plain,
    ( coll(sK7,sK0,sK0)
    | ~ coll(sK0,sK0,sK0)
    | ~ coll(sK0,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_5341]) ).

tcf(c_5372,plain,
    ( coll(sK0,sK7,sK7)
    | ~ coll(sK7,sK3,sK0)
    | ~ coll(sK7,sK3,sK7) ),
    inference(instantiation,[status(thm)],[c_2967]) ).

tcf(c_5429,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X0,sK8,sK0,X1)
      | ~ coll(sK0,X1,sK8)
      | ~ eqangle(sK0,X0,sK0,sK8,X1,X0,X1,sK8) ),
    inference(instantiation,[status(thm)],[c_143]) ).

tcf(c_5430,plain,
    ( cyclic(sK0,sK8,sK0,sK0)
    | ~ coll(sK0,sK0,sK8)
    | ~ eqangle(sK0,sK0,sK0,sK8,sK0,sK0,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_5429]) ).

tcf(c_5623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(sK0,X0,X2,X1)
      | ~ cyclic(sK1,sK0,X0,X2)
      | ~ cyclic(sK1,sK0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_5630,plain,
    ( cyclic(sK0,sK0,sK0,sK0)
    | ~ cyclic(sK1,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_5623]) ).

tcf(c_8573,plain,
    coll(sK3,sK3,sK8),
    inference(superposition,[status(thm)],[c_3462,c_4293]) ).

tcf(c_9712,plain,
    coll(sK7,sK7,sK3),
    inference(superposition,[status(thm)],[c_5066,c_5109]) ).

tcf(c_9726,plain,
    coll(sK7,sK8,sK3),
    inference(superposition,[status(thm)],[c_8573,c_5114]) ).

tcf(c_10702,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK7,sK8,sK0,sK5)
      | ~ para(sK7,sK8,X0,X1)
      | ~ perp(X0,X1,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_102]) ).

tcf(c_10703,plain,
    ( perp(sK7,sK8,sK0,sK5)
    | ~ para(sK7,sK8,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_10702]) ).

tcf(c_10803,plain,
    coll(sK7,sK3,sK7),
    inference(superposition,[status(thm)],[c_9712,c_91]) ).

tcf(c_10921,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X0,X1,X1,sK5)
      | ~ cong(X0,sK5,X1,sK5)
      | ~ cong(X0,X1,X1,X1) ),
    inference(instantiation,[status(thm)],[c_99]) ).

tcf(c_10922,plain,
    ( perp(sK0,sK0,sK0,sK5)
    | ~ cong(sK0,sK5,sK0,sK5)
    | ~ cong(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_10921]) ).

tcf(c_14543,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X1,sK0,sK5)
      | ~ coll(X1,sK0,sK5)
      | ~ midp(X0,sK0,X2)
      | ~ para(X0,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_14544,plain,
    ( midp(sK0,sK0,sK5)
    | ~ coll(sK0,sK0,sK5)
    | ~ midp(sK0,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_14543]) ).

tcf(c_16163,plain,
    coll(sK7,sK3,sK8),
    inference(superposition,[status(thm)],[c_9726,c_91]) ).

tcf(c_20453,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(sK0,X3,X2,sK5)
      | ~ perp(sK0,X3,X0,X1)
      | ~ perp(X0,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_20456,plain,
    ( para(sK0,sK0,sK0,sK5)
    | ~ perp(sK0,sK0,sK0,sK5)
    | ~ perp(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_20453]) ).

tcf(c_23079,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK0,sK5,X0,X1)
      | ~ perp(X0,X1,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_104]) ).

tcf(c_23080,plain,
    ( perp(sK0,sK5,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_23079]) ).

tcf(c_23169,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X0,sK5,sK8,sK5)
      | ~ midp(sK5,X0,X1)
      | ~ perp(X0,sK8,sK8,X1) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_23171,plain,
    ( cong(sK0,sK5,sK8,sK5)
    | ~ midp(sK5,sK0,sK0)
    | ~ perp(sK0,sK8,sK8,sK0) ),
    inference(instantiation,[status(thm)],[c_23169]) ).

tcf(c_27847,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(sK7,sK8,X2,X3)
      | ~ perp(sK7,sK8,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_27850,plain,
    ( para(sK7,sK8,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK0)
    | ~ perp(sK7,sK8,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_27847]) ).

tcf(c_28667,plain,
    ! [X0: $i] :
      ( cong(X0,sK5,X0,sK5)
      | ~ midp(X0,sK5,sK5) ),
    inference(instantiation,[status(thm)],[c_109]) ).

tcf(c_28668,plain,
    ( cong(sK0,sK5,sK0,sK5)
    | ~ midp(sK0,sK5,sK5) ),
    inference(instantiation,[status(thm)],[c_28667]) ).

tcf(c_37788,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,sK7,X1,sK7)
      | ~ midp(sK7,X0,X2)
      | ~ perp(X0,X1,X1,X2) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_37789,plain,
    ( cong(sK0,sK7,sK0,sK7)
    | ~ midp(sK7,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_37788]) ).

tcf(c_38345,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X1,sK8,X3,sK8)
      | ~ cyclic(X1,sK8,X0,sK8)
      | ~ cyclic(X1,sK8,X0,X3)
      | ~ cyclic(X1,sK8,X0,X2)
      | ~ eqangle(X0,X1,X0,sK8,X2,X3,X2,sK8) ),
    inference(instantiation,[status(thm)],[c_142]) ).

tcf(c_38346,plain,
    ( cong(sK0,sK8,sK0,sK8)
    | ~ cyclic(sK0,sK8,sK0,sK0)
    | ~ cyclic(sK0,sK8,sK0,sK8)
    | ~ eqangle(sK0,sK0,sK0,sK8,sK0,sK0,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_38345]) ).

tcf(c_40267,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X2,X0,sK5)
      | ~ midp(X1,X2,sK5)
      | ~ perp(X0,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_100]) ).

tcf(c_40268,plain,
    ( cong(sK0,sK0,sK0,sK5)
    | ~ midp(sK0,sK0,sK5)
    | ~ perp(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_40267]) ).

tcf(c_40288,plain,
    coll(sK0,sK8,sK7),
    inference(superposition,[status(thm)],[c_16163,c_4290]) ).

tcf(c_41142,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK0,sK5,sK7,sK8,X0,X1,sK7,sK8)
      | ~ para(sK0,sK5,X0,X1) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_41144,plain,
    ( eqangle(sK0,sK5,sK7,sK8,sK0,sK0,sK7,sK8)
    | ~ para(sK0,sK5,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_41142]) ).

tcf(c_45728,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X0,X1,X1,sK8,X2,X3,X1,sK8)
      | ~ para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_45729,plain,
    ( eqangle(sK0,sK0,sK0,sK8,sK0,sK0,sK0,sK8)
    | ~ para(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_45728]) ).

tcf(c_46763,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X0,X1,sK0,sK5,X2,X3,sK0,sK5)
      | ~ para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_46764,plain,
    ( eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5)
    | ~ para(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_46763]) ).

tcf(c_51882,plain,
    coll(sK5,sK7,sK0),
    inference(superposition,[status(thm)],[c_40288,c_4286]) ).

tcf(c_52180,plain,
    coll(sK5,sK0,sK7),
    inference(superposition,[status(thm)],[c_51882,c_91]) ).

tcf(c_58640,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK7,sK8,sK0,sK5,X2,X3,X0,X1)
      | ~ eqangle(sK0,sK5,sK7,sK8,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_136]) ).

tcf(c_58693,plain,
    ! [X0: $i] :
      ( midp(sK0,sK7,X0)
      | ~ coll(sK0,sK7,X0)
      | ~ cong(sK0,sK7,sK0,X0) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_58716,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( perp(X0,X1,sK7,sK8)
      | ~ perp(X2,X3,X4,X5)
      | ~ eqangle(X0,X1,sK7,sK8,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_96]) ).

tcf(c_58842,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X1,sK5,X0,sK5)
      | ~ cong(X0,sK5,X1,sK5) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_58957,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(sK7,sK8,X0,X1,sK0,sK5,X2,X3)
      | ~ eqangle(sK7,sK8,sK0,sK5,X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_134]) ).

tcf(c_58998,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X0,X1,sK0,sK5,X4,X5,X2,X3)
      | ~ eqangle(sK0,sK5,X0,X1,X2,X3,X4,X5) ),
    inference(instantiation,[status(thm)],[c_136]) ).

tcf(c_59042,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X2,sK5,sK5)
      | ~ midp(X2,X0,X1)
      | ~ para(X0,sK5,X1,sK5) ),
    inference(instantiation,[status(thm)],[c_110]) ).

tcf(c_59043,plain,
    ( midp(sK0,sK5,sK5)
    | ~ midp(sK0,sK0,sK0)
    | ~ para(sK0,sK5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_59042]) ).

tcf(c_59175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(sK7,sK0,X2)
      | ~ coll(sK7,sK0,X2)
      | ~ midp(X0,sK0,X1)
      | ~ para(X0,sK7,X1,X2) ),
    inference(instantiation,[status(thm)],[c_88]) ).

tcf(c_59176,plain,
    ( midp(sK7,sK0,sK0)
    | ~ coll(sK7,sK0,sK0)
    | ~ midp(sK0,sK0,sK0)
    | ~ para(sK0,sK7,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_59175]) ).

tcf(c_59237,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK7,sK8,X0,X1)
      | ~ cong(sK7,X1,sK8,X1)
      | ~ cong(sK7,X0,sK8,X0) ),
    inference(instantiation,[status(thm)],[c_99]) ).

tcf(c_59238,plain,
    ( perp(sK7,sK8,sK0,sK0)
    | ~ cong(sK7,sK0,sK8,sK0) ),
    inference(instantiation,[status(thm)],[c_59237]) ).

tcf(c_59269,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X0,X1,sK8,sK7)
      | ~ perp(X0,X1,sK7,sK8) ),
    inference(instantiation,[status(thm)],[c_105]) ).

tcf(c_59356,plain,
    ( midp(sK0,sK7,sK7)
    | ~ coll(sK0,sK7,sK7)
    | ~ cong(sK0,sK7,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_58693]) ).

tcf(c_59380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X0,X1,sK5,sK7)
      | ~ cong(X2,X3,sK5,sK7)
      | ~ cong(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_59381,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X0,X1,sK5,sK7)
      | ~ cong(X0,X1,sK7,sK5) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_59645,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X0,sK5,sK5,X1)
      | ~ cong(X0,sK5,X1,sK5) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_59646,plain,
    ( cong(sK0,sK5,sK5,sK0)
    | ~ cong(sK0,sK5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_59645]) ).

tcf(c_59690,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK0,sK5,X0,X1)
      | ~ para(X0,X1,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_59691,plain,
    ( para(sK0,sK5,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_59690]) ).

tcf(c_59928,plain,
    ! [X0: $i,X1: $i] :
      ( perp(X1,sK8,sK8,X0)
      | ~ perp(sK8,X0,X1,sK8) ),
    inference(instantiation,[status(thm)],[c_104]) ).

tcf(c_59929,plain,
    ( perp(sK0,sK8,sK8,sK0)
    | ~ perp(sK8,sK0,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_59928]) ).

tcf(c_60259,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(sK5,sK0,X2,sK0)
      | ~ cyclic(sK5,sK0,X0,sK0)
      | ~ cyclic(sK5,sK0,X0,X2)
      | ~ cyclic(sK5,sK0,X0,X1)
      | ~ eqangle(X0,sK5,X0,sK0,X1,X2,X1,sK0) ),
    inference(instantiation,[status(thm)],[c_142]) ).

tcf(c_60260,plain,
    ( cong(sK5,sK0,sK0,sK0)
    | ~ cyclic(sK5,sK0,sK0,sK0)
    | ~ eqangle(sK0,sK5,sK0,sK0,sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_60259]) ).

tcf(c_60310,plain,
    ! [X0: $i,X1: $i] :
      ( midp(sK5,X0,X1)
      | ~ coll(sK5,X0,X1)
      | ~ cong(sK5,X0,sK5,X1) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_60311,plain,
    ( midp(sK5,sK0,sK0)
    | ~ coll(sK5,sK0,sK0)
    | ~ cong(sK5,sK0,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_60310]) ).

tcf(c_60314,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( midp(sK5,X1,X3)
      | ~ midp(sK5,X0,X2)
      | ~ para(X0,X3,X2,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_110]) ).

tcf(c_60402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( eqangle(sK0,sK5,sK0,X1,X2,sK0,X2,X1)
      | ~ perp(X0,sK0,sK0,sK5)
      | ~ circle(X0,sK0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_121]) ).

tcf(c_60403,plain,
    ( eqangle(sK0,sK5,sK0,sK0,sK0,sK0,sK0,sK0)
    | ~ circle(sK0,sK0,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_60402]) ).

tcf(c_60892,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X0,X1,X4,sK7)
      | ~ eqangle(X0,X1,X2,X3,X4,sK7,X2,X3) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_60912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X1,X3,X2,sK7)
      | ~ midp(X0,X3,sK7)
      | ~ midp(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_111]) ).

tcf(c_60927,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( eqangle(X0,X1,X2,X3,sK0,sK5,X2,X3)
      | ~ para(X0,X1,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_60934,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( eqangle(X2,X3,X0,X1,sK0,sK5,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_136]) ).

tcf(c_61211,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK0,X0,sK0,sK5,X1,X0,X1,sK5)
      | ~ eqangle(sK0,sK5,sK0,X0,X1,sK5,X1,X0) ),
    inference(instantiation,[status(thm)],[c_58998]) ).

tcf(c_61333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X1,X2,X3,sK8)
      | ~ cyclic(X0,X1,X2,sK8)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_146]) ).

tcf(c_61335,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(X0,X1,X2,sK8)
      | ~ cyclic(X0,X1,sK8,X2) ),
    inference(instantiation,[status(thm)],[c_149]) ).

tcf(c_61336,plain,
    ( cyclic(sK0,sK0,sK0,sK8)
    | ~ cyclic(sK0,sK0,sK8,sK0) ),
    inference(instantiation,[status(thm)],[c_61335]) ).

tcf(c_62828,plain,
    ! [X0: $i] :
      ( cong(sK5,sK0,sK5,X0)
      | ~ cong(sK5,sK0,X0,sK5) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_62829,plain,
    ( cong(sK5,sK0,sK5,sK0)
    | ~ cong(sK5,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_62828]) ).

tcf(c_62975,plain,
    ! [X0: $i,X1: $i] :
      ( cong(sK5,X1,X0,sK5)
      | ~ cong(X0,sK5,sK5,X1) ),
    inference(instantiation,[status(thm)],[c_131]) ).

tcf(c_62976,plain,
    ( cong(sK5,sK0,sK0,sK5)
    | ~ cong(sK0,sK5,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_62975]) ).

tcf(c_63171,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK8,X0,X0,sK8)
      | ~ cyclic(X0,X1,sK8,sK8)
      | ~ cong(X0,sK8,X1,sK8) ),
    inference(instantiation,[status(thm)],[c_140]) ).

tcf(c_63172,plain,
    ( perp(sK8,sK0,sK0,sK8)
    | ~ cyclic(sK0,sK0,sK8,sK8)
    | ~ cong(sK0,sK8,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_63171]) ).

tcf(c_64021,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X2,sK7,X0,X1)
      | ~ para(X0,X1,X2,sK7) ),
    inference(instantiation,[status(thm)],[c_127]) ).

tcf(c_64022,plain,
    ( para(sK0,sK7,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_64021]) ).

tcf(c_64205,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,sK5,X3,sK5)
      | ~ eqangle(X0,sK5,X1,X2,X3,sK5,X1,X2) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_64208,plain,
    ( para(sK0,sK5,sK0,sK5)
    | ~ eqangle(sK0,sK5,sK0,sK0,sK0,sK5,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_64205]) ).

tcf(c_64654,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(X0,X1,sK8,X2)
      | ~ cyclic(X0,sK8,X1,X2) ),
    inference(instantiation,[status(thm)],[c_148]) ).

tcf(c_64655,plain,
    ( cyclic(sK0,sK0,sK8,sK0)
    | ~ cyclic(sK0,sK8,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_64654]) ).

tcf(c_64813,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(sK5,X0,sK0,X1)
      | ~ coll(sK0,X1,X0)
      | ~ eqangle(sK0,sK5,sK0,X0,X1,sK5,X1,X0) ),
    inference(instantiation,[status(thm)],[c_143]) ).

tcf(c_64814,plain,
    ( cyclic(sK5,sK0,sK0,sK0)
    | ~ coll(sK0,sK0,sK0)
    | ~ eqangle(sK0,sK5,sK0,sK0,sK0,sK5,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_64813]) ).

tcf(c_65768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X0,X1,X2,sK7)
      | ~ eqangle(X0,X1,sK0,sK5,X2,sK7,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_60892]) ).

tcf(c_69973,plain,
    ! [X0: $i] :
      ( eqangle(sK0,sK5,sK0,X0,sK0,sK5,sK0,sK0)
      | ~ eqangle(sK0,X0,sK0,sK5,sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_60934]) ).

tcf(c_69975,plain,
    ( eqangle(sK0,sK5,sK0,sK0,sK0,sK5,sK0,sK0)
    | ~ eqangle(sK0,sK0,sK0,sK5,sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_69973]) ).

tcf(c_71401,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK7,sK8,sK0,sK5,sK7,sK8,X0,X1)
      | ~ eqangle(sK0,sK5,sK7,sK8,X0,X1,sK7,sK8) ),
    inference(instantiation,[status(thm)],[c_58640]) ).

tcf(c_71403,plain,
    ( eqangle(sK7,sK8,sK0,sK5,sK7,sK8,sK0,sK0)
    | ~ eqangle(sK0,sK5,sK7,sK8,sK0,sK0,sK7,sK8) ),
    inference(instantiation,[status(thm)],[c_71401]) ).

tcf(c_72285,plain,
    ! [X0: $i] :
      ( cong(X0,sK5,sK5,sK7)
      | ~ cong(X0,sK5,sK7,sK5) ),
    inference(instantiation,[status(thm)],[c_59381]) ).

tcf(c_72289,plain,
    ( cong(sK0,sK5,sK5,sK7)
    | ~ cong(sK0,sK5,sK7,sK5) ),
    inference(instantiation,[status(thm)],[c_72285]) ).

tcf(c_74221,plain,
    ( midp(sK5,sK0,sK7)
    | ~ coll(sK5,sK0,sK7)
    | ~ cong(sK5,sK0,sK5,sK7) ),
    inference(instantiation,[status(thm)],[c_60310]) ).

tcf(c_74860,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK7,sK8,sK7,sK8,sK0,sK5,X0,X1)
      | ~ eqangle(sK7,sK8,sK0,sK5,sK7,sK8,X0,X1) ),
    inference(instantiation,[status(thm)],[c_58957]) ).

tcf(c_74867,plain,
    ( eqangle(sK7,sK8,sK7,sK8,sK0,sK5,sK0,sK0)
    | ~ eqangle(sK7,sK8,sK0,sK5,sK7,sK8,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_74860]) ).

tcf(c_77648,plain,
    ! [X0: $i] :
      ( cong(X0,sK5,sK7,sK5)
      | ~ cong(sK7,sK5,X0,sK5) ),
    inference(instantiation,[status(thm)],[c_58842]) ).

tcf(c_77649,plain,
    ( cong(sK0,sK5,sK7,sK5)
    | ~ cong(sK7,sK5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_77648]) ).

tcf(c_80203,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(X0,X1,sK5,sK7)
      | ~ cong(X2,sK5,sK5,sK7)
      | ~ cong(X0,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_59380]) ).

tcf(c_80205,plain,
    ( cong(sK0,sK0,sK5,sK7)
    | ~ cong(sK0,sK5,sK5,sK7)
    | ~ cong(sK0,sK0,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_80203]) ).

tcf(c_84228,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK7,sK8,sK7,sK8)
      | ~ perp(sK0,sK5,X0,X1)
      | ~ eqangle(sK7,sK8,sK7,sK8,sK0,sK5,X0,X1) ),
    inference(instantiation,[status(thm)],[c_58716]) ).

tcf(c_84229,plain,
    ( perp(sK7,sK8,sK7,sK8)
    | ~ perp(sK0,sK5,sK0,sK0)
    | ~ eqangle(sK7,sK8,sK7,sK8,sK0,sK5,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_84228]) ).

tcf(c_85099,plain,
    ( para(sK0,sK7,sK0,sK7)
    | ~ eqangle(sK0,sK7,sK0,sK5,sK0,sK7,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_65768]) ).

tcf(c_89590,plain,
    ( eqangle(sK0,sK7,sK0,sK5,sK0,sK7,sK0,sK5)
    | ~ eqangle(sK0,sK5,sK0,sK7,sK0,sK5,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_61211]) ).

tcf(c_95968,plain,
    ! [X0: $i] :
      ( cong(sK8,sK5,X0,sK5)
      | ~ cong(X0,sK5,sK8,sK5) ),
    inference(instantiation,[status(thm)],[c_58842]) ).

tcf(c_95969,plain,
    ( cong(sK8,sK5,sK0,sK5)
    | ~ cong(sK0,sK5,sK8,sK5) ),
    inference(instantiation,[status(thm)],[c_95968]) ).

tcf(c_96653,plain,
    ( perp(sK7,sK8,sK8,sK7)
    | ~ perp(sK7,sK8,sK7,sK8) ),
    inference(instantiation,[status(thm)],[c_59269]) ).

tcf(c_102469,plain,
    ! [X0: $i,X1: $i] :
      ( midp(sK5,sK7,sK7)
      | ~ midp(sK5,X0,X1)
      | ~ para(X0,sK7,X1,sK7) ),
    inference(instantiation,[status(thm)],[c_60314]) ).

tcf(c_102471,plain,
    ( midp(sK5,sK7,sK7)
    | ~ midp(sK5,sK0,sK0)
    | ~ para(sK0,sK7,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_102469]) ).

tcf(c_102499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X0,X2,X1,sK7)
      | ~ midp(sK5,X2,sK7)
      | ~ midp(sK5,X0,X1) ),
    inference(instantiation,[status(thm)],[c_60912]) ).

tcf(c_102500,plain,
    ( para(sK0,sK0,sK0,sK7)
    | ~ midp(sK5,sK0,sK0)
    | ~ midp(sK5,sK0,sK7) ),
    inference(instantiation,[status(thm)],[c_102499]) ).

tcf(c_110952,plain,
    ! [X0: $i] :
      ( eqangle(sK0,sK5,X0,sK7,sK0,sK5,X0,sK7)
      | ~ para(sK0,sK5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_60927]) ).

tcf(c_110953,plain,
    ( eqangle(sK0,sK5,sK0,sK7,sK0,sK5,sK0,sK7)
    | ~ para(sK0,sK5,sK0,sK5) ),
    inference(instantiation,[status(thm)],[c_110952]) ).

tcf(c_114357,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X1,sK0,sK8,sK8)
      | ~ cyclic(X0,X1,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_61333]) ).

tcf(c_114358,plain,
    ( cyclic(sK0,sK0,sK8,sK8)
    | ~ cyclic(sK0,sK0,sK0,sK8) ),
    inference(instantiation,[status(thm)],[c_114357]) ).

tcf(c_115077,plain,
    ! [X0: $i] :
      ( cong(sK7,sK5,sK8,sK5)
      | ~ midp(sK5,sK7,X0)
      | ~ perp(sK7,sK8,sK8,X0) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_115499,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(sK7,sK5,X2,sK5)
      | ~ cong(sK7,sK5,X0,X1)
      | ~ cong(X0,X1,X2,sK5) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_116331,plain,
    ! [X0: $i,X1: $i] :
      ( cong(sK7,X1,sK8,X1)
      | ~ midp(X1,sK7,X0)
      | ~ perp(sK7,sK8,sK8,X0) ),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_118624,plain,
    ( cong(sK7,sK5,sK8,sK5)
    | ~ midp(sK5,sK7,sK7)
    | ~ perp(sK7,sK8,sK8,sK7) ),
    inference(instantiation,[status(thm)],[c_115077]) ).

tcf(c_119111,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cong(sK5,X0,sK5,sK7)
      | ~ cong(X1,X2,sK5,sK7)
      | ~ cong(sK5,X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_119112,plain,
    ( cong(sK5,sK0,sK5,sK7)
    | ~ cong(sK5,sK0,sK0,sK0)
    | ~ cong(sK0,sK0,sK5,sK7) ),
    inference(instantiation,[status(thm)],[c_119111]) ).

tcf(c_122022,plain,
    ! [X0: $i] :
      ( cong(sK7,X0,sK8,X0)
      | ~ midp(X0,sK7,sK7)
      | ~ perp(sK7,sK8,sK8,sK7) ),
    inference(instantiation,[status(thm)],[c_116331]) ).

tcf(c_122023,plain,
    ( cong(sK7,sK0,sK8,sK0)
    | ~ midp(sK0,sK7,sK7)
    | ~ perp(sK7,sK8,sK8,sK7) ),
    inference(instantiation,[status(thm)],[c_122022]) ).

tcf(c_125012,plain,
    ! [X0: $i] :
      ( cong(sK7,sK5,X0,sK5)
      | ~ cong(sK7,sK5,sK8,sK5)
      | ~ cong(sK8,sK5,X0,sK5) ),
    inference(instantiation,[status(thm)],[c_115499]) ).

tcf(c_125014,plain,
    ( cong(sK7,sK5,sK0,sK5)
    | ~ cong(sK8,sK5,sK0,sK5)
    | ~ cong(sK7,sK5,sK8,sK5) ),
    inference(instantiation,[status(thm)],[c_125012]) ).

tcf(c_127298,plain,
    ! [X0: $i] :
      ( cyclic(sK0,sK8,X0,sK8)
      | ~ cyclic(sK0,X0,sK8,sK8) ),
    inference(instantiation,[status(thm)],[c_148]) ).

tcf(c_127299,plain,
    ( cyclic(sK0,sK8,sK0,sK8)
    | ~ cyclic(sK0,sK0,sK8,sK8) ),
    inference(instantiation,[status(thm)],[c_127298]) ).

tcf(c_127300,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_127299,c_125014,c_122023,c_119112,c_118624,c_114358,c_110953,c_102500,c_102471,c_96653,c_95969,c_89590,c_85099,c_84229,c_80205,c_77649,c_74867,c_74221,c_72289,c_71403,c_69975,c_64814,c_64655,c_64208,c_64022,c_63172,c_62976,c_62829,c_61336,c_60403,c_60311,c_60260,c_59929,c_59691,c_59646,c_59356,c_59238,c_59176,c_59043,c_52180,c_46764,c_45729,c_41144,c_40268,c_38346,c_37789,c_28668,c_27850,c_23171,c_23080,c_20456,c_14544,c_10922,c_10803,c_10703,c_5630,c_5430,c_5372,c_5345,c_5312,c_5211,c_4246,c_3073,c_3008,c_3007,c_2970,c_2951,c_2837,c_2641,c_2638,c_2636,c_2635,c_2629,c_202,c_164,c_162,c_160,c_154,c_153,c_49,c_50,c_58,c_59,c_61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO642+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.38  % Computer : n007.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Wed Sep 23 12:36:36 UTC 2026
% 0.11/0.38  % CPUTime  : 
% 0.11/0.38  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.44  
% 0.11/0.44  % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.44  
% 0.11/0.44  % Detected problem language: tptp
% 0.11/0.45  % Proving...
% 63.77/12.49  % SZS status Started for theBenchmark.p
% 63.77/12.49  % SZS status Theorem for theBenchmark.p
% 63.77/12.49  
% 63.77/12.49  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 63.77/12.49  
% 63.77/12.49  % ------  iProver source info
% 63.77/12.49  
% 63.77/12.49  % git: date: 2026-07-19 20:42:38 +0200
% 63.77/12.49  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 63.77/12.49  % git: non_committed_changes: false
% 63.77/12.49  
% 63.77/12.49  % ------ Parsing...
% 63.77/12.49  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 63.77/12.49  
% 63.77/12.49  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 63.77/12.49  
% 63.77/12.49  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 63.77/12.49  % ------ Proving...
% 63.77/12.49  % ------ Problem Properties 
% 63.77/12.49  
% 63.77/12.49  % 
% 63.77/12.49  % clauses                               101
% 63.77/12.49  % conjectures                           14
% 63.77/12.49  % EPR                                   68
% 63.77/12.49  % Horn                                  96
% 63.77/12.49  % unary                                 14
% 63.77/12.49  % binary                                24
% 63.77/12.49  % lits                                  270
% 63.77/12.49  % lits eq                               0
% 63.77/12.49  % fd_pure                               0
% 63.77/12.49  % fd_pseudo                             0
% 63.77/12.49  % fd_cond                               0
% 63.77/12.49  % fd_pseudo_cond                        0
% 63.77/12.49  % AC symbols                            0
% 63.77/12.49  
% 63.77/12.49  % ------ Schedule dynamic 5 is on 
% 63.77/12.49  
% 63.77/12.49  % ------ no equalities: superposition off 
% 63.77/12.49  
% 63.77/12.49  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 63.77/12.49  
% 63.77/12.49  
% 63.77/12.49  % ------ 
% 63.77/12.49  % Current options:
% 63.77/12.49  % ------ 
% 63.77/12.49  
% 63.77/12.49  
% 63.77/12.49  % 
% 63.77/12.49  
% 63.77/12.49  % ------ Proving...
% 63.77/12.49  % Proof_search_loop: time out after: 7629 full_loop iterations
% 63.77/12.49  
% 63.77/12.49  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 63.77/12.49  
% 63.77/12.49  
% 63.77/12.49  % ------ 
% 63.77/12.49  % Current options:
% 63.77/12.49  % ------ 
% 63.77/12.49  
% 63.77/12.49  
% 63.77/12.49  % 
% 63.77/12.49  
% 63.77/12.49  % ------ Proving...
% 63.77/12.49  % 
% 63.77/12.49  
% 63.77/12.49  % SZS status Theorem for theBenchmark.p
% 63.77/12.49  
% 63.77/12.49  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 63.77/12.49  
% 63.77/12.49  
%------------------------------------------------------------------------------