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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GEO627+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 : n010.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 01:21:41 PM UTC 2026

% Result   : Theorem 85.75s 23.13s
% Output   : CNFRefutation 85.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  285 (  58 unt;   0 def)
%            Number of atoms       :  713 (   0 equ)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  753 ( 325   ~; 319   |;  80   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   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    :   13 (  13 usr;  13 con; 0-0 aty)
%            Number of variables   :  712 (   0 sgn 686   !;  26   ?; 217   :)

% 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(f4,axiom,
    ! [X0,X1,X2,X3] :
      ( para(X0,X1,X2,X3)
     => para(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD4) ).

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(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(f20,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD20) ).

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(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(f45,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( midp(X4,X0,X2)
        & midp(X3,X0,X1) )
     => para(X3,X4,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD44) ).

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(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(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(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( ( perp(X8,X9,X4,X10)
        & perp(X5,X6,X7,X10)
        & coll(X9,X0,X2)
        & perp(X9,X7,X0,X2)
        & coll(X8,X0,X1)
        & perp(X8,X7,X0,X1)
        & circle(X3,X0,X7,X12)
        & coll(X6,X0,X1)
        & perp(X6,X4,X0,X1)
        & coll(X5,X0,X2)
        & perp(X5,X4,X0,X2)
        & circle(X3,X0,X4,X11)
        & circle(X3,X0,X1,X2) )
     => cyclic(X0,X4,X7,X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL8110991F) ).

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

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

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12] :
      ( perp(X8,X9,X4,X10)
      & perp(X5,X6,X7,X10)
      & coll(X9,X0,X2)
      & perp(X9,X7,X0,X2)
      & coll(X8,X0,X1)
      & perp(X8,X7,X0,X1)
      & circle(X3,X0,X7,X12)
      & coll(X6,X0,X1)
      & perp(X6,X4,X0,X1)
      & coll(X5,X0,X2)
      & perp(X5,X4,X0,X2)
      & circle(X3,X0,X4,X11)
      & circle(X3,X0,X1,X2)
      & ~ cyclic(X0,X4,X7,X10) ),
    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(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(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(f177,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(f178,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,[],[f177]) ).

fof(f179,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(f180,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,[],[f179]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f184,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(f185,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(flattening,[],[f184]) ).

fof(f187,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f188,plain,
    ! [X0,X1,X2,X3] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f195,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(f196,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,[],[f195]) ).

fof(f197,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(ennf_transformation,[],[f64]) ).

fof(f198,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(flattening,[],[f197]) ).

fof(f199,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f200,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(flattening,[],[f199]) ).

fof(f201,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(f202,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(f205,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f206,plain,
    ! [X0,X1,X2,X3] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f216,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(f217,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(ennf_transformation,[],[f20]) ).

fof(f220,plain,
    ( perp(sK8,sK9,sK4,sK10)
    & perp(sK5,sK6,sK7,sK10)
    & coll(sK9,sK0,sK2)
    & perp(sK9,sK7,sK0,sK2)
    & coll(sK8,sK0,sK1)
    & perp(sK8,sK7,sK0,sK1)
    & circle(sK3,sK0,sK7,sK12)
    & coll(sK6,sK0,sK1)
    & perp(sK6,sK4,sK0,sK1)
    & coll(sK5,sK0,sK2)
    & perp(sK5,sK4,sK0,sK2)
    & circle(sK3,sK0,sK4,sK11)
    & circle(sK3,sK0,sK1,sK2)
    & ~ cyclic(sK0,sK4,sK7,sK10) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12]),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)],[f99]) ).

fof(f239,plain,
    perp(sK8,sK9,sK4,sK10),
    inference(cnf_transformation,[],[f220]) ).

fof(f240,plain,
    perp(sK5,sK6,sK7,sK10),
    inference(cnf_transformation,[],[f220]) ).

fof(f248,plain,
    coll(sK5,sK0,sK2),
    inference(cnf_transformation,[],[f220]) ).

fof(f249,plain,
    perp(sK5,sK4,sK0,sK2),
    inference(cnf_transformation,[],[f220]) ).

fof(f252,plain,
    ~ cyclic(sK0,sK4,sK7,sK10),
    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(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(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(f309,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,[],[f178]) ).

fof(f310,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,[],[f180]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f185]) ).

fof(f315,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f187]) ).

fof(f316,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f188]) ).

fof(f322,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,[],[f196]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X2,X3)
      | ~ midp(X4,X0,X1)
      | para(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f198]) ).

fof(f324,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X4,X0,X2)
      | ~ midp(X3,X0,X1)
      | para(X3,X4,X1,X2) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f325,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f201]) ).

fof(f326,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f205]) ).

fof(f329,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f206]) ).

fof(f337,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,[],[f216]) ).

fof(f338,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X4,X5,X6,X7,X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f217]) ).

tcf(c_49,negated_conjecture,
    ~ cyclic(sK0,sK4,sK7,sK10),
    inference(cnf_transformation,[],[f252]) ).

tcf(c_52,negated_conjecture,
    perp(sK5,sK4,sK0,sK2),
    inference(cnf_transformation,[],[f249]) ).

tcf(c_53,negated_conjecture,
    coll(sK5,sK0,sK2),
    inference(cnf_transformation,[],[f248]) ).

tcf(c_61,negated_conjecture,
    perp(sK5,sK6,sK7,sK10),
    inference(cnf_transformation,[],[f240]) ).

tcf(c_62,negated_conjecture,
    perp(sK8,sK9,sK4,sK10),
    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)
      | ~ midp(X0,X4,X2)
      | ~ coll(X1,X4,X3)
      | ~ 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_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_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_119,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,[],[f309]) ).

tcf(c_120,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,[],[f310]) ).

tcf(c_122,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,[],[f312]) ).

tcf(c_123,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,[],[f313]) ).

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

tcf(c_126,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f316]) ).

tcf(c_132,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,[],[f322]) ).

tcf(c_133,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,[],[f323]) ).

tcf(c_134,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X3,X0,X4,X2)
      | ~ midp(X3,X1,X4)
      | ~ midp(X0,X1,X2) ),
    inference(cnf_transformation,[],[f324]) ).

tcf(c_135,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,[],[f325]) ).

tcf(c_136,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,[],[f326]) ).

tcf(c_138,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f328]) ).

tcf(c_139,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( para(X0,X1,X3,X2)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f329]) ).

tcf(c_147,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,[],[f337]) ).

tcf(c_148,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i,X7: $i] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f338]) ).

tcf(c_158,plain,
    ( eqangle(sK0,sK0,sK0,sK0,sK0,sK0,sK0,sK0)
    | ~ cyclic(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_122]) ).

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_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_119]) ).

tcf(c_2299,plain,
    ( perp(sK0,sK2,sK5,sK4)
    | ~ perp(sK5,sK4,sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_104]) ).

tcf(c_2726,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK0,sK2,X0,X1)
      | ~ perp(sK0,sK2,sK5,sK4)
      | ~ perp(sK5,sK4,X0,X1) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_3000,plain,
    coll(sK5,sK2,sK0),
    inference(superposition,[status(thm)],[c_53,c_91]) ).

tcf(c_3012,plain,
    coll(sK5,sK2,sK0),
    inference(superposition,[status(thm)],[c_53,c_91]) ).

tcf(c_3142,plain,
    perp(sK0,sK2,sK5,sK4),
    inference(superposition,[status(thm)],[c_52,c_104]) ).

tcf(c_3152,plain,
    perp(sK0,sK2,sK5,sK4),
    inference(superposition,[status(thm)],[c_52,c_104]) ).

tcf(c_3156,plain,
    perp(sK7,sK10,sK5,sK6),
    inference(superposition,[status(thm)],[c_61,c_104]) ).

tcf(c_3157,plain,
    perp(sK4,sK10,sK8,sK9),
    inference(superposition,[status(thm)],[c_62,c_104]) ).

tcf(c_3323,plain,
    perp(sK8,sK9,sK10,sK4),
    inference(superposition,[status(thm)],[c_62,c_105]) ).

tcf(c_3324,plain,
    perp(sK0,sK2,sK4,sK5),
    inference(superposition,[status(thm)],[c_3152,c_105]) ).

tcf(c_3866,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK5)
      | ~ coll(sK5,sK2,X0) ),
    inference(superposition,[status(thm)],[c_3000,c_89]) ).

tcf(c_3948,plain,
    ! [X0: $i] :
      ( coll(sK2,X0,sK5)
      | ~ coll(sK5,sK0,X0) ),
    inference(superposition,[status(thm)],[c_53,c_89]) ).

tcf(c_3956,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK5)
      | ~ coll(sK5,sK2,X0) ),
    inference(superposition,[status(thm)],[c_3012,c_89]) ).

tcf(c_4335,plain,
    coll(sK2,sK2,sK5),
    inference(superposition,[status(thm)],[c_53,c_3948]) ).

tcf(c_4351,plain,
    ! [X0: $i] :
      ( coll(sK5,X0,sK2)
      | ~ coll(sK2,sK2,X0) ),
    inference(superposition,[status(thm)],[c_4335,c_89]) ).

tcf(c_4550,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(X2,X0,X2,X0)
      | ~ cyclic(X0,X1,X2,X2) ),
    inference(superposition,[status(thm)],[c_122,c_136]) ).

tcf(c_4554,plain,
    ( para(sK0,sK0,sK0,sK0)
    | ~ cyclic(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_4550]) ).

tcf(c_4764,plain,
    coll(sK0,sK0,sK5),
    inference(superposition,[status(thm)],[c_3000,c_3866]) ).

tcf(c_4771,plain,
    coll(sK0,sK5,sK0),
    inference(superposition,[status(thm)],[c_4764,c_91]) ).

tcf(c_5345,plain,
    ( para(sK0,sK2,sK0,sK2)
    | ~ perp(sK5,sK4,sK0,sK2)
    | ~ perp(sK0,sK2,sK5,sK4) ),
    inference(instantiation,[status(thm)],[c_2726]) ).

tcf(c_6550,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK5,sK4,X0,X1)
      | ~ perp(sK0,sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_52,c_103]) ).

tcf(c_6725,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK5,sK4,X0,X1)
      | ~ perp(sK0,sK2,X0,X1) ),
    inference(superposition,[status(thm)],[c_52,c_103]) ).

tcf(c_6736,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK7,sK10,X0,X1)
      | ~ perp(sK5,sK6,X0,X1) ),
    inference(superposition,[status(thm)],[c_3156,c_103]) ).

tcf(c_6737,plain,
    ! [X0: $i,X1: $i] :
      ( para(sK4,sK10,X0,X1)
      | ~ perp(sK8,sK9,X0,X1) ),
    inference(superposition,[status(thm)],[c_3157,c_103]) ).

tcf(c_7186,plain,
    ! [X0: $i,X1: $i] :
      ( eqangle(sK0,sK2,X0,X1,sK0,sK2,X0,X1)
      | ~ para(sK0,sK2,sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_7187,plain,
    ( eqangle(sK0,sK2,sK0,sK0,sK0,sK2,sK0,sK0)
    | ~ para(sK0,sK2,sK0,sK2) ),
    inference(instantiation,[status(thm)],[c_7186]) ).

tcf(c_7638,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK0)
      | ~ coll(sK0,sK5,X0) ),
    inference(superposition,[status(thm)],[c_4771,c_89]) ).

tcf(c_7644,plain,
    ( coll(sK0,sK0,sK0)
    | ~ coll(sK0,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_7638]) ).

tcf(c_9002,plain,
    para(sK5,sK4,sK5,sK4),
    inference(superposition,[status(thm)],[c_3142,c_6550]) ).

tcf(c_9010,plain,
    para(sK5,sK4,sK5,sK4),
    inference(superposition,[status(thm)],[c_3152,c_6725]) ).

tcf(c_9012,plain,
    para(sK5,sK4,sK4,sK5),
    inference(superposition,[status(thm)],[c_3324,c_6725]) ).

tcf(c_9892,plain,
    coll(sK5,sK4,sK4),
    inference(superposition,[status(thm)],[c_9002,c_86]) ).

tcf(c_9897,plain,
    coll(sK5,sK4,sK4),
    inference(superposition,[status(thm)],[c_9010,c_86]) ).

tcf(c_10080,plain,
    para(sK4,sK5,sK5,sK4),
    inference(superposition,[status(thm)],[c_9012,c_138]) ).

tcf(c_10551,plain,
    coll(sK4,sK5,sK4),
    inference(superposition,[status(thm)],[c_9892,c_90]) ).

tcf(c_10557,plain,
    coll(sK4,sK5,sK4),
    inference(superposition,[status(thm)],[c_9897,c_90]) ).

tcf(c_10702,plain,
    ! [X0: $i] :
      ( coll(sK4,X0,sK4)
      | ~ coll(sK4,sK5,X0) ),
    inference(superposition,[status(thm)],[c_10551,c_89]) ).

tcf(c_10707,plain,
    ( coll(sK4,sK0,sK4)
    | ~ coll(sK4,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_10702]) ).

tcf(c_10709,plain,
    coll(sK4,sK4,sK5),
    inference(superposition,[status(thm)],[c_10557,c_91]) ).

tcf(c_11527,plain,
    ! [X0: $i] :
      ( coll(sK5,X0,sK4)
      | ~ coll(sK4,sK4,X0) ),
    inference(superposition,[status(thm)],[c_10709,c_89]) ).

tcf(c_12964,plain,
    coll(sK5,sK5,sK2),
    inference(superposition,[status(thm)],[c_4335,c_4351]) ).

tcf(c_12975,plain,
    ! [X0: $i] :
      ( coll(sK2,X0,sK5)
      | ~ coll(sK5,sK5,X0) ),
    inference(superposition,[status(thm)],[c_12964,c_89]) ).

tcf(c_36982,plain,
    para(sK7,sK10,sK7,sK10),
    inference(superposition,[status(thm)],[c_61,c_6736]) ).

tcf(c_37040,plain,
    coll(sK7,sK10,sK10),
    inference(superposition,[status(thm)],[c_36982,c_86]) ).

tcf(c_37179,plain,
    coll(sK10,sK7,sK10),
    inference(superposition,[status(thm)],[c_37040,c_90]) ).

tcf(c_37611,plain,
    para(sK4,sK10,sK4,sK10),
    inference(superposition,[status(thm)],[c_62,c_6737]) ).

tcf(c_37612,plain,
    para(sK4,sK10,sK10,sK4),
    inference(superposition,[status(thm)],[c_3323,c_6737]) ).

tcf(c_37778,plain,
    coll(sK4,sK10,sK10),
    inference(superposition,[status(thm)],[c_37611,c_86]) ).

tcf(c_37788,plain,
    coll(sK10,sK4,sK10),
    inference(superposition,[status(thm)],[c_37778,c_90]) ).

tcf(c_37800,plain,
    para(sK10,sK4,sK4,sK10),
    inference(superposition,[status(thm)],[c_37612,c_138]) ).

tcf(c_38245,plain,
    coll(sK10,sK10,sK7),
    inference(superposition,[status(thm)],[c_37179,c_91]) ).

tcf(c_38911,plain,
    ! [X0: $i] :
      ( coll(sK10,X0,sK10)
      | ~ coll(sK10,sK4,X0) ),
    inference(superposition,[status(thm)],[c_37788,c_89]) ).

tcf(c_38916,plain,
    ( coll(sK10,sK0,sK10)
    | ~ coll(sK10,sK4,sK0) ),
    inference(instantiation,[status(thm)],[c_38911]) ).

tcf(c_39009,plain,
    ! [X0: $i] :
      ( coll(sK7,X0,sK10)
      | ~ coll(sK10,sK10,X0) ),
    inference(superposition,[status(thm)],[c_38245,c_89]) ).

tcf(c_39014,plain,
    ( coll(sK7,sK0,sK10)
    | ~ coll(sK10,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_39009]) ).

tcf(c_40084,plain,
    para(sK4,sK5,sK4,sK5),
    inference(superposition,[status(thm)],[c_10080,c_139]) ).

tcf(c_48019,plain,
    ! [X0: $i] :
      ( cyclic(sK2,X0,sK0,sK0)
      | ~ coll(sK0,sK0,X0)
      | ~ eqangle(sK0,sK2,sK0,X0,sK0,sK2,sK0,X0) ),
    inference(instantiation,[status(thm)],[c_120]) ).

tcf(c_48020,plain,
    ( cyclic(sK2,sK0,sK0,sK0)
    | ~ coll(sK0,sK0,sK0)
    | ~ eqangle(sK0,sK2,sK0,sK0,sK0,sK2,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_48019]) ).

tcf(c_57666,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X0,sK0,X1,sK0)
      | ~ cyclic(sK2,X0,sK0,sK0)
      | ~ cyclic(sK2,X0,sK0,X1) ),
    inference(instantiation,[status(thm)],[c_123]) ).

tcf(c_57673,plain,
    ( cyclic(sK0,sK0,sK0,sK0)
    | ~ cyclic(sK2,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_57666]) ).

tcf(c_58854,plain,
    ( cyclic(sK0,sK4,sK7,sK10)
    | ~ cyclic(sK0,sK4,sK10,sK7) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_61407,plain,
    para(sK10,sK4,sK10,sK4),
    inference(superposition,[status(thm)],[c_37800,c_139]) ).

tcf(c_61696,plain,
    coll(sK4,sK5,sK5),
    inference(superposition,[status(thm)],[c_40084,c_86]) ).

tcf(c_63211,plain,
    coll(sK5,sK4,sK5),
    inference(superposition,[status(thm)],[c_61696,c_90]) ).

tcf(c_63244,plain,
    coll(sK5,sK5,sK4),
    inference(superposition,[status(thm)],[c_63211,c_91]) ).

tcf(c_63255,plain,
    ( cyclic(sK0,sK4,sK10,sK7)
    | ~ cyclic(sK0,sK10,sK4,sK7) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_69900,plain,
    ! [X0: $i] :
      ( midp(sK4,X0,sK4)
      | ~ midp(sK10,X0,sK10)
      | ~ coll(sK4,X0,sK4) ),
    inference(superposition,[status(thm)],[c_61407,c_88]) ).

tcf(c_69903,plain,
    coll(sK10,sK4,sK4),
    inference(superposition,[status(thm)],[c_61407,c_86]) ).

tcf(c_69911,plain,
    ( midp(sK4,sK0,sK4)
    | ~ midp(sK10,sK0,sK10)
    | ~ coll(sK4,sK0,sK4) ),
    inference(instantiation,[status(thm)],[c_69900]) ).

tcf(c_69946,plain,
    coll(sK4,sK10,sK4),
    inference(superposition,[status(thm)],[c_69903,c_90]) ).

tcf(c_69951,plain,
    coll(sK4,sK4,sK10),
    inference(superposition,[status(thm)],[c_69946,c_91]) ).

tcf(c_70251,plain,
    ! [X0: $i] :
      ( cyclic(sK0,sK10,sK4,sK7)
      | ~ cyclic(X0,sK0,sK10,sK7)
      | ~ cyclic(X0,sK0,sK10,sK4) ),
    inference(instantiation,[status(thm)],[c_123]) ).

tcf(c_70252,plain,
    ( cyclic(sK0,sK10,sK4,sK7)
    | ~ cyclic(sK0,sK0,sK10,sK7)
    | ~ cyclic(sK0,sK0,sK10,sK4) ),
    inference(instantiation,[status(thm)],[c_70251]) ).

tcf(c_84722,plain,
    ( coll(sK7,sK10,sK0)
    | ~ coll(sK7,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_114544,plain,
    coll(sK5,sK10,sK4),
    inference(superposition,[status(thm)],[c_69951,c_11527]) ).

tcf(c_114658,plain,
    coll(sK5,sK4,sK10),
    inference(superposition,[status(thm)],[c_114544,c_91]) ).

tcf(c_115689,plain,
    coll(sK4,sK5,sK10),
    inference(superposition,[status(thm)],[c_114658,c_90]) ).

tcf(c_116350,plain,
    ! [X0: $i] :
      ( coll(sK10,X0,sK4)
      | ~ coll(sK4,sK5,X0) ),
    inference(superposition,[status(thm)],[c_115689,c_89]) ).

tcf(c_116356,plain,
    ( coll(sK10,sK0,sK4)
    | ~ coll(sK4,sK5,sK0) ),
    inference(instantiation,[status(thm)],[c_116350]) ).

tcf(c_118789,plain,
    coll(sK2,sK4,sK5),
    inference(superposition,[status(thm)],[c_63244,c_12975]) ).

tcf(c_120925,plain,
    coll(sK2,sK5,sK4),
    inference(superposition,[status(thm)],[c_118789,c_91]) ).

tcf(c_120956,plain,
    coll(sK5,sK2,sK4),
    inference(superposition,[status(thm)],[c_120925,c_90]) ).

tcf(c_122822,plain,
    coll(sK0,sK4,sK5),
    inference(superposition,[status(thm)],[c_120956,c_3956]) ).

tcf(c_123306,plain,
    coll(sK4,sK0,sK5),
    inference(superposition,[status(thm)],[c_122822,c_90]) ).

tcf(c_125354,plain,
    coll(sK4,sK5,sK0),
    inference(superposition,[status(thm)],[c_123306,c_91]) ).

tcf(c_132566,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X0,sK0,X0,sK10)
      | ~ midp(X1,sK0,sK10)
      | ~ perp(X0,X1,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_100]) ).

tcf(c_133730,plain,
    ! [X0: $i] :
      ( cyclic(X0,sK0,sK10,sK4)
      | ~ coll(sK10,sK4,sK0)
      | ~ eqangle(sK10,X0,sK10,sK0,sK4,X0,sK4,sK0) ),
    inference(instantiation,[status(thm)],[c_120]) ).

tcf(c_133731,plain,
    ( cyclic(sK0,sK0,sK10,sK4)
    | ~ coll(sK10,sK4,sK0)
    | ~ eqangle(sK10,sK0,sK10,sK0,sK4,sK0,sK4,sK0) ),
    inference(instantiation,[status(thm)],[c_133730]) ).

tcf(c_133758,plain,
    ! [X0: $i] :
      ( midp(X0,sK0,sK10)
      | ~ coll(X0,sK0,sK10)
      | ~ cong(X0,sK0,X0,sK10) ),
    inference(instantiation,[status(thm)],[c_85]) ).

tcf(c_133762,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X2,sK0,sK10)
      | ~ midp(X2,X0,X1)
      | ~ para(X0,sK10,X1,sK0)
      | ~ para(X0,sK0,X1,sK10) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_133763,plain,
    ( midp(sK0,sK0,sK10)
    | ~ midp(sK0,sK0,sK0)
    | ~ para(sK0,sK10,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_133762]) ).

tcf(c_133875,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(X1,X2,sK0,sK10)
      | ~ cyclic(X0,X1,X2,sK10)
      | ~ cyclic(X0,X1,X2,sK0) ),
    inference(instantiation,[status(thm)],[c_123]) ).

tcf(c_133878,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X0,X1,sK0,sK10)
      | ~ cyclic(X0,X1,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_133879,plain,
    ( cyclic(sK0,sK0,sK0,sK10)
    | ~ cyclic(sK0,sK0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_133878]) ).

tcf(c_133958,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( cong(X1,X2,X1,sK10)
      | ~ cyclic(X1,X2,X0,sK10)
      | ~ cyclic(X1,X2,X0,X3)
      | ~ cyclic(X1,X2,X0,X1)
      | ~ eqangle(X0,X1,X0,X2,X3,X1,X3,sK10) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_133987,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( cyclic(X1,sK0,X2,sK10)
      | ~ cyclic(X0,X1,sK0,sK10)
      | ~ cyclic(X0,X1,sK0,X2) ),
    inference(instantiation,[status(thm)],[c_123]) ).

tcf(c_138139,plain,
    ( coll(sK10,sK7,sK0)
    | ~ coll(sK7,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_90]) ).

tcf(c_138578,plain,
    ( coll(sK10,sK4,sK0)
    | ~ coll(sK10,sK0,sK4) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_138722,plain,
    ! [X0: $i] :
      ( para(sK10,sK0,sK10,sK0)
      | ~ midp(sK10,X0,sK10)
      | ~ midp(sK0,X0,sK0) ),
    inference(instantiation,[status(thm)],[c_134]) ).

tcf(c_138723,plain,
    ( para(sK10,sK0,sK10,sK0)
    | ~ midp(sK10,sK0,sK10)
    | ~ midp(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_138722]) ).

tcf(c_138755,plain,
    ! [X0: $i,X1: $i] :
      ( coll(sK0,X1,sK10)
      | ~ coll(sK10,X0,sK0)
      | ~ coll(sK10,X0,X1) ),
    inference(instantiation,[status(thm)],[c_89]) ).

tcf(c_138858,plain,
    ! [X0: $i] :
      ( cyclic(X0,sK0,sK10,sK7)
      | ~ coll(sK10,sK7,sK0)
      | ~ eqangle(sK10,X0,sK10,sK0,sK7,X0,sK7,sK0) ),
    inference(instantiation,[status(thm)],[c_120]) ).

tcf(c_138859,plain,
    ( cyclic(sK0,sK0,sK10,sK7)
    | ~ coll(sK10,sK7,sK0)
    | ~ eqangle(sK10,sK0,sK10,sK0,sK7,sK0,sK7,sK0) ),
    inference(instantiation,[status(thm)],[c_138858]) ).

tcf(c_139138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( midp(X2,sK10,sK0)
      | ~ midp(X2,X0,X1)
      | ~ para(X0,sK10,X1,sK0)
      | ~ para(X0,sK0,X1,sK10) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_139139,plain,
    ( midp(sK0,sK10,sK0)
    | ~ midp(sK0,sK0,sK0)
    | ~ para(sK0,sK10,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_139138]) ).

tcf(c_139490,plain,
    ! [X0: $i] :
      ( eqangle(sK4,sK0,sK4,X0,sK10,sK0,sK10,X0)
      | ~ eqangle(sK4,sK0,sK10,sK0,sK4,X0,sK10,X0) ),
    inference(instantiation,[status(thm)],[c_147]) ).

tcf(c_139491,plain,
    ( eqangle(sK4,sK0,sK4,sK0,sK10,sK0,sK10,sK0)
    | ~ eqangle(sK4,sK0,sK10,sK0,sK4,sK0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_139490]) ).

tcf(c_139616,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X0,X1,sK10,sK0)
      | ~ cyclic(X0,sK10,X1,sK0) ),
    inference(instantiation,[status(thm)],[c_125]) ).

tcf(c_139617,plain,
    ( cyclic(sK0,sK0,sK10,sK0)
    | ~ cyclic(sK0,sK10,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_139616]) ).

tcf(c_139971,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( para(X0,X1,X4,sK10)
      | ~ perp(X2,X3,X4,sK10)
      | ~ perp(X0,X1,X2,X3) ),
    inference(instantiation,[status(thm)],[c_103]) ).

tcf(c_139972,plain,
    ( para(sK0,sK0,sK0,sK10)
    | ~ perp(sK0,sK0,sK0,sK10)
    | ~ perp(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_139971]) ).

tcf(c_140304,plain,
    ! [X0: $i,X1: $i] :
      ( para(X1,sK10,X0,sK0)
      | ~ para(X0,sK0,X1,sK10) ),
    inference(instantiation,[status(thm)],[c_138]) ).

tcf(c_140305,plain,
    ( para(sK0,sK10,sK0,sK0)
    | ~ para(sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_140304]) ).

tcf(c_140390,plain,
    ! [X0: $i] :
      ( cyclic(X0,sK10,sK0,sK10)
      | ~ cyclic(X0,X0,sK10,sK10)
      | ~ cyclic(X0,X0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_133875]) ).

tcf(c_140393,plain,
    ( cyclic(sK0,sK10,sK0,sK10)
    | ~ cyclic(sK0,sK0,sK10,sK10)
    | ~ cyclic(sK0,sK0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_140390]) ).

tcf(c_140698,plain,
    ! [X0: $i,X1: $i] :
      ( cyclic(X1,sK10,X0,sK0)
      | ~ coll(X0,sK0,sK10)
      | ~ eqangle(X0,X1,X0,sK10,sK0,X1,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_120]) ).

tcf(c_140699,plain,
    ( cyclic(sK0,sK10,sK0,sK0)
    | ~ coll(sK0,sK0,sK10)
    | ~ eqangle(sK0,sK0,sK0,sK10,sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_140698]) ).

tcf(c_140738,plain,
    ! [X0: $i,X1: $i] :
      ( cong(X0,sK10,X0,sK10)
      | ~ cyclic(X0,sK10,X0,sK10)
      | ~ cyclic(X0,sK10,X0,X1)
      | ~ cyclic(X0,sK10,X0,X0)
      | ~ eqangle(X0,X0,X0,sK10,X1,X0,X1,sK10) ),
    inference(instantiation,[status(thm)],[c_133958]) ).

tcf(c_140740,plain,
    ( cong(sK0,sK10,sK0,sK10)
    | ~ cyclic(sK0,sK10,sK0,sK10)
    | ~ cyclic(sK0,sK10,sK0,sK0)
    | ~ eqangle(sK0,sK0,sK0,sK10,sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_140738]) ).

tcf(c_140777,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( eqangle(X0,X1,X0,sK10,X0,X2,X0,sK10)
      | ~ para(X0,X1,X0,X2) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_140778,plain,
    ( eqangle(sK0,sK0,sK0,sK10,sK0,sK0,sK0,sK10)
    | ~ para(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_140777]) ).

tcf(c_143894,plain,
    ( eqangle(sK4,sK0,sK10,sK0,sK4,sK0,sK10,sK0)
    | ~ para(sK4,sK0,sK4,sK0) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_143915,plain,
    ! [X0: $i] :
      ( eqangle(sK10,X0,sK10,sK0,sK4,X0,sK4,sK0)
      | ~ eqangle(sK4,X0,sK4,sK0,sK10,X0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_148]) ).

tcf(c_143916,plain,
    ( eqangle(sK10,sK0,sK10,sK0,sK4,sK0,sK4,sK0)
    | ~ eqangle(sK4,sK0,sK4,sK0,sK10,sK0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_143915]) ).

tcf(c_145776,plain,
    ( coll(sK10,sK10,sK0)
    | ~ coll(sK10,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_91]) ).

tcf(c_146575,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( perp(sK10,X0,sK0,sK10)
      | ~ perp(X1,X2,sK0,sK10)
      | ~ para(sK10,X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_102]) ).

tcf(c_146576,plain,
    ( perp(sK10,sK0,sK0,sK10)
    | ~ para(sK10,sK0,sK0,sK0)
    | ~ perp(sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_146575]) ).

tcf(c_146848,plain,
    ! [X0: $i] :
      ( eqangle(sK10,sK0,sK10,X0,sK7,sK0,sK7,X0)
      | ~ eqangle(sK10,sK0,sK7,sK0,sK10,X0,sK7,X0) ),
    inference(instantiation,[status(thm)],[c_147]) ).

tcf(c_146849,plain,
    ( eqangle(sK10,sK0,sK10,sK0,sK7,sK0,sK7,sK0)
    | ~ eqangle(sK10,sK0,sK7,sK0,sK10,sK0,sK7,sK0) ),
    inference(instantiation,[status(thm)],[c_146848]) ).

tcf(c_147460,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( para(sK10,sK0,X2,X1)
      | ~ midp(X0,sK10,X2)
      | ~ midp(X0,sK0,X1) ),
    inference(instantiation,[status(thm)],[c_133]) ).

tcf(c_147461,plain,
    ( para(sK10,sK0,sK0,sK0)
    | ~ midp(sK0,sK10,sK0)
    | ~ midp(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_147460]) ).

tcf(c_147575,plain,
    ! [X0: $i] :
      ( coll(sK0,X0,sK10)
      | ~ coll(sK10,sK4,sK0)
      | ~ coll(sK10,sK4,X0) ),
    inference(instantiation,[status(thm)],[c_138755]) ).

tcf(c_147576,plain,
    ( coll(sK0,sK0,sK10)
    | ~ coll(sK10,sK4,sK0) ),
    inference(instantiation,[status(thm)],[c_147575]) ).

tcf(c_147606,plain,
    ! [X0: $i,X1: $i] :
      ( perp(sK0,X1,X0,sK10)
      | ~ cong(sK0,sK10,X1,sK10)
      | ~ cong(sK0,X0,X1,X0) ),
    inference(instantiation,[status(thm)],[c_99]) ).

tcf(c_147607,plain,
    ( perp(sK0,sK0,sK0,sK10)
    | ~ cong(sK0,sK10,sK0,sK10)
    | ~ cong(sK0,sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_147606]) ).

tcf(c_148173,plain,
    ! [X0: $i] :
      ( eqangle(sK10,sK0,sK7,sK0,sK10,X0,sK7,sK0)
      | ~ para(sK10,sK0,sK10,X0) ),
    inference(instantiation,[status(thm)],[c_135]) ).

tcf(c_148174,plain,
    ( eqangle(sK10,sK0,sK7,sK0,sK10,sK0,sK7,sK0)
    | ~ para(sK10,sK0,sK10,sK0) ),
    inference(instantiation,[status(thm)],[c_148173]) ).

tcf(c_149920,plain,
    ! [X0: $i] :
      ( para(sK4,sK0,sK4,sK0)
      | ~ midp(sK4,X0,sK4)
      | ~ midp(sK0,X0,sK0) ),
    inference(instantiation,[status(thm)],[c_134]) ).

tcf(c_149921,plain,
    ( para(sK4,sK0,sK4,sK0)
    | ~ midp(sK4,sK0,sK4)
    | ~ midp(sK0,sK0,sK0) ),
    inference(instantiation,[status(thm)],[c_149920]) ).

tcf(c_151654,plain,
    ! [X0: $i] :
      ( cyclic(sK0,sK0,sK10,sK10)
      | ~ cyclic(X0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_133987]) ).

tcf(c_151655,plain,
    ( cyclic(sK0,sK0,sK10,sK10)
    | ~ cyclic(sK0,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_151654]) ).

tcf(c_154262,plain,
    ( midp(sK10,sK0,sK10)
    | ~ coll(sK10,sK0,sK10)
    | ~ cong(sK10,sK0,sK10,sK10) ),
    inference(instantiation,[status(thm)],[c_133758]) ).

tcf(c_156901,plain,
    ! [X0: $i] :
      ( cong(sK10,sK0,sK10,sK10)
      | ~ midp(X0,sK0,sK10)
      | ~ perp(sK10,X0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_132566]) ).

tcf(c_156907,plain,
    ( cong(sK10,sK0,sK10,sK10)
    | ~ midp(sK0,sK0,sK10)
    | ~ perp(sK10,sK0,sK0,sK10) ),
    inference(instantiation,[status(thm)],[c_156901]) ).

tcf(c_156908,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_156907,c_154262,c_151655,c_149921,c_148174,c_147607,c_147576,c_147461,c_146849,c_146576,c_145776,c_143916,c_143894,c_140778,c_140740,c_140699,c_140393,c_140305,c_139972,c_139617,c_139491,c_139139,c_138859,c_138723,c_138578,c_138139,c_133879,c_133763,c_133731,c_125354,c_116356,c_84722,c_70252,c_69911,c_63255,c_58854,c_57673,c_48020,c_39014,c_38916,c_10707,c_7644,c_7187,c_5345,c_4771,c_4554,c_2299,c_202,c_164,c_160,c_158,c_49,c_52]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO627+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.60  % Computer : n010.cluster.edu
% 0.11/10.60  % Model    : x86_64 x86_64
% 0.11/10.60  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.60  % Memory   : 8046.5625MB
% 0.11/10.60  % OS       : Linux 6.8.0-71-generic
% 0.11/10.60  % CPULimit : 300
% 0.11/10.60  % WCLimit  : 300
% 0.11/10.60  % DateTime : Wed Sep 23 12:36:27 UTC 2026
% 0.11/10.60  % CPUTime  : 
% 0.11/10.60  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/10.64  Running first-order theorem proving
% 0.11/10.64  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
% 0.11/10.65  
% 0.11/10.65  % ======== iProver multi-core TPTP/SMT =========
% 0.11/10.65  
% 0.11/10.65  % Detected problem language: tptp
% 0.11/10.66  % Proving...
% 85.75/23.13  % SZS status Started for theBenchmark.p
% 85.75/23.13  % SZS status Theorem for theBenchmark.p
% 85.75/23.13  
% 85.75/23.13  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 85.75/23.13  
% 85.75/23.13  % ------  iProver source info
% 85.75/23.13  
% 85.75/23.13  % git: date: 2026-07-19 20:42:38 +0200
% 85.75/23.13  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 85.75/23.13  % git: non_committed_changes: false
% 85.75/23.13  
% 85.75/23.13  % ------ Parsing...
% 85.75/23.13  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 85.75/23.13  
% 85.75/23.13  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 85.75/23.13  
% 85.75/23.13  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 85.75/23.13  % ------ Proving...
% 85.75/23.13  % ------ Problem Properties 
% 85.75/23.13  
% 85.75/23.13  % 
% 85.75/23.13  % clauses                               101
% 85.75/23.13  % conjectures                           14
% 85.75/23.13  % EPR                                   68
% 85.75/23.13  % Horn                                  96
% 85.75/23.13  % unary                                 14
% 85.75/23.13  % binary                                24
% 85.75/23.13  % lits                                  270
% 85.75/23.13  % lits eq                               0
% 85.75/23.13  % fd_pure                               0
% 85.75/23.13  % fd_pseudo                             0
% 85.75/23.13  % fd_cond                               0
% 85.75/23.13  % fd_pseudo_cond                        0
% 85.75/23.13  % AC symbols                            0
% 85.75/23.13  
% 85.75/23.13  % ------ Schedule dynamic 5 is on 
% 85.75/23.13  
% 85.75/23.13  % ------ no equalities: superposition off 
% 85.75/23.13  
% 85.75/23.13  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 85.75/23.13  
% 85.75/23.13  
% 85.75/23.13  % ------ 
% 85.75/23.13  % Current options:
% 85.75/23.13  % ------ 
% 85.75/23.13  
% 85.75/23.13  
% 85.75/23.13  % 
% 85.75/23.13  
% 85.75/23.13  % ------ Proving...
% 85.75/23.13  % Proof_search_loop: time out after: 9602 full_loop iterations
% 85.75/23.13  
% 85.75/23.13  % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 85.75/23.13  
% 85.75/23.13  
% 85.75/23.13  % ------ 
% 85.75/23.13  % Current options:
% 85.75/23.13  % ------ 
% 85.75/23.13  
% 85.75/23.13  
% 85.75/23.13  % 
% 85.75/23.13  
% 85.75/23.13  % ------ Proving...
% 85.75/23.13  % 
% 85.75/23.13  
% 85.75/23.13  % SZS status Theorem for theBenchmark.p
% 85.75/23.13  
% 85.75/23.13  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 85.75/23.14  
% 85.75/23.14  
%------------------------------------------------------------------------------