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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 : Tue Sep 29 09:54:41 AM UTC 2026

% Result   : Theorem 11.58s 5.09s
% Output   : Refutation 11.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   28
% Syntax   : Number of formulae    :  162 (  19 unt;   0 def)
%            Number of atoms       :  565 (   0 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  619 ( 216   ~; 215   |; 159   &)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-8 aty)
%            Number of functors    :   21 (  21 usr;  20 con; 0-6 aty)
%            Number of variables   :  848 ( 805   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
     => coll(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD2) ).

fof(f3,axiom,
    ! [X0,X1,X2,X3] :
      ( ( coll(X0,X1,X2)
        & coll(X0,X1,X3) )
     => coll(X2,X3,X0) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD5) ).

fof(f6,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & para(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD6) ).

fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

fof(f12,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X3,X0,X3,X1)
        & cong(X3,X0,X3,X2) )
     => circle(X3,X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD12) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD19) ).

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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD21) ).

fof(f22,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        & eqangle(X4,X5,X6,X7,X8,X9,X10,X11) )
     => eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD22) ).

fof(f29,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD29) ).

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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD41) ).

fof(f42,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & ~ coll(X2,X3,X0) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42a) ).

fof(f43,axiom,
    ! [X0,X1,X2,X3] :
      ( ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
        & coll(X2,X3,X1) )
     => cyclic(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD42b) ).

fof(f44,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4)
        & cyclic(X0,X1,X2,X5)
        & eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
     => cong(X0,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD43) ).

fof(f51,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( circle(X3,X0,X1,X2)
        & midp(X4,X1,X2) )
     => eqangle(X0,X1,X0,X2,X3,X1,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD50) ).

fof(f57,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3) )
     => perp(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD56) ).

fof(f66,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( para(X0,X1,X2,X3)
        & coll(X4,X0,X2)
        & coll(X4,X1,X3) )
     => eqratio(X4,X0,X0,X2,X4,X1,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD65) ).

fof(f67,axiom,
    ! [X0,X1,X2] :
      ( para(X0,X1,X0,X2)
     => coll(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

fof(f68,axiom,
    ! [X0,X1,X2] :
      ( ( cong(X0,X1,X0,X2)
        & coll(X0,X1,X2) )
     => midp(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD67) ).

fof(f76,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
        & cong(X4,X5,X6,X7) )
     => cong(X0,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD75) ).

fof(f82,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
    ? [X6] :
      ( ( midp(X4,X0,X1)
        & midp(X5,X2,X3) )
     => ( midp(X6,X0,X3)
        & para(X6,X4,X1,X3)
        & para(X6,X5,X0,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX6) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X0,X2,X1,X3)
        & perp(X1,X2,X0,X3)
        & midp(X8,X0,X1)
        & perp(X0,X1,X8,X4)
        & midp(X9,X0,X2)
        & perp(X0,X2,X9,X4)
        & midp(X10,X1,X2)
        & perp(X1,X2,X10,X4)
        & midp(X11,X0,X1)
        & perp(X0,X1,X11,X5)
        & midp(X12,X0,X3)
        & perp(X0,X3,X12,X5)
        & midp(X13,X1,X3)
        & perp(X1,X3,X13,X5)
        & midp(X14,X0,X3)
        & perp(X0,X3,X14,X6)
        & midp(X15,X0,X2)
        & perp(X0,X2,X15,X6)
        & midp(X16,X3,X2)
        & perp(X3,X2,X16,X6)
        & midp(X17,X1,X3)
        & perp(X1,X3,X17,X7)
        & midp(X18,X1,X2)
        & perp(X1,X2,X18,X7)
        & midp(X19,X3,X2)
        & perp(X3,X2,X19,X7) )
     => perp(X7,X4,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
        ( ( perp(X0,X1,X2,X3)
          & perp(X0,X2,X1,X3)
          & perp(X1,X2,X0,X3)
          & midp(X8,X0,X1)
          & perp(X0,X1,X8,X4)
          & midp(X9,X0,X2)
          & perp(X0,X2,X9,X4)
          & midp(X10,X1,X2)
          & perp(X1,X2,X10,X4)
          & midp(X11,X0,X1)
          & perp(X0,X1,X11,X5)
          & midp(X12,X0,X3)
          & perp(X0,X3,X12,X5)
          & midp(X13,X1,X3)
          & perp(X1,X3,X13,X5)
          & midp(X14,X0,X3)
          & perp(X0,X3,X14,X6)
          & midp(X15,X0,X2)
          & perp(X0,X2,X15,X6)
          & midp(X16,X3,X2)
          & perp(X3,X2,X16,X6)
          & midp(X17,X1,X3)
          & perp(X1,X3,X17,X7)
          & midp(X18,X1,X2)
          & perp(X1,X2,X18,X7)
          & midp(X19,X3,X2)
          & perp(X3,X2,X19,X7) )
       => perp(X7,X4,X6,X5) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X2,X1)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( coll(X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( coll(X2,X3,X0)
      | ~ coll(X0,X1,X2)
      | ~ coll(X0,X1,X3) ),
    inference(flattening,[],[f100]) ).

fof(f103,plain,
    ! [X0,X1,X2,X3] :
      ( para(X2,X3,X0,X1)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f104,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f105,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ para(X2,X3,X4,X5) ),
    inference(flattening,[],[f104]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f113,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1)
      | ~ cong(X3,X0,X3,X2) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( circle(X3,X0,X1,X2)
      | ~ cong(X3,X0,X3,X1)
      | ~ cong(X3,X0,X3,X2) ),
    inference(flattening,[],[f113]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f124,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X4,X5,X6,X7,X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f126,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f127,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( eqangle(X0,X1,X2,X3,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11) ),
    inference(flattening,[],[f126]) ).

fof(f135,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqratio(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f150,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f155]) ).

fof(f168,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ circle(X3,X0,X1,X2)
      | ~ midp(X4,X1,X2) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f169,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ circle(X3,X0,X1,X2)
      | ~ midp(X4,X1,X2) ),
    inference(flattening,[],[f168]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f180]) ).

fof(f195,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ para(X0,X1,X2,X3)
      | ~ coll(X4,X0,X2)
      | ~ coll(X4,X1,X3) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f196,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ para(X0,X1,X2,X3)
      | ~ coll(X4,X0,X2)
      | ~ coll(X4,X1,X3) ),
    inference(flattening,[],[f195]) ).

fof(f197,plain,
    ! [X0,X1,X2] :
      ( coll(X0,X1,X2)
      | ~ para(X0,X1,X0,X2) ),
    inference(ennf_transformation,[],[f67]) ).

fof(f198,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f199,plain,
    ! [X0,X1,X2] :
      ( midp(X0,X1,X2)
      | ~ cong(X0,X1,X0,X2)
      | ~ coll(X0,X1,X2) ),
    inference(flattening,[],[f198]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ cong(X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f76]) ).

fof(f213,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( cong(X0,X1,X2,X3)
      | ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | ~ cong(X4,X5,X6,X7) ),
    inference(flattening,[],[f212]) ).

fof(f224,plain,
    ! [X0,X1,X2,X3,X4,X5] :
    ? [X6] :
      ( ( midp(X6,X0,X3)
        & para(X6,X4,X1,X3)
        & para(X6,X5,X0,X2) )
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f225,plain,
    ! [X0,X1,X2,X3,X4,X5] :
    ? [X6] :
      ( ( midp(X6,X0,X3)
        & para(X6,X4,X1,X3)
        & para(X6,X5,X0,X2) )
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(flattening,[],[f224]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X0,X1,X2,X3)
      & perp(X0,X2,X1,X3)
      & perp(X1,X2,X0,X3)
      & midp(X8,X0,X1)
      & perp(X0,X1,X8,X4)
      & midp(X9,X0,X2)
      & perp(X0,X2,X9,X4)
      & midp(X10,X1,X2)
      & perp(X1,X2,X10,X4)
      & midp(X11,X0,X1)
      & perp(X0,X1,X11,X5)
      & midp(X12,X0,X3)
      & perp(X0,X3,X12,X5)
      & midp(X13,X1,X3)
      & perp(X1,X3,X13,X5)
      & midp(X14,X0,X3)
      & perp(X0,X3,X14,X6)
      & midp(X15,X0,X2)
      & perp(X0,X2,X15,X6)
      & midp(X16,X3,X2)
      & perp(X3,X2,X16,X6)
      & midp(X17,X1,X3)
      & perp(X1,X3,X17,X7)
      & midp(X18,X1,X2)
      & perp(X1,X2,X18,X7)
      & midp(X19,X3,X2)
      & perp(X3,X2,X19,X7) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X0,X1,X2,X3)
      & perp(X0,X2,X1,X3)
      & perp(X1,X2,X0,X3)
      & midp(X8,X0,X1)
      & perp(X0,X1,X8,X4)
      & midp(X9,X0,X2)
      & perp(X0,X2,X9,X4)
      & midp(X10,X1,X2)
      & perp(X1,X2,X10,X4)
      & midp(X11,X0,X1)
      & perp(X0,X1,X11,X5)
      & midp(X12,X0,X3)
      & perp(X0,X3,X12,X5)
      & midp(X13,X1,X3)
      & perp(X1,X3,X13,X5)
      & midp(X14,X0,X3)
      & perp(X0,X3,X14,X6)
      & midp(X15,X0,X2)
      & perp(X0,X2,X15,X6)
      & midp(X16,X3,X2)
      & perp(X3,X2,X16,X6)
      & midp(X17,X1,X3)
      & perp(X1,X3,X17,X7)
      & midp(X18,X1,X2)
      & perp(X1,X2,X18,X7)
      & midp(X19,X3,X2)
      & perp(X3,X2,X19,X7) ),
    inference(flattening,[],[f249]) ).

fof(f256,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( midp(sK5(X0,X1,X2,X3,X4,X5),X0,X3)
        & para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
        & para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2) )
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X6,sK5(X0,X1,X2,X3,X4,X5))],[f225]) ).

fof(f270,plain,
    ( ~ perp(sK27,sK24,sK26,sK25)
    & perp(sK20,sK21,sK22,sK23)
    & perp(sK20,sK22,sK21,sK23)
    & perp(sK21,sK22,sK20,sK23)
    & midp(sK28,sK20,sK21)
    & perp(sK20,sK21,sK28,sK24)
    & midp(sK29,sK20,sK22)
    & perp(sK20,sK22,sK29,sK24)
    & midp(sK30,sK21,sK22)
    & perp(sK21,sK22,sK30,sK24)
    & midp(sK31,sK20,sK21)
    & perp(sK20,sK21,sK31,sK25)
    & midp(sK32,sK20,sK23)
    & perp(sK20,sK23,sK32,sK25)
    & midp(sK33,sK21,sK23)
    & perp(sK21,sK23,sK33,sK25)
    & midp(sK34,sK20,sK23)
    & perp(sK20,sK23,sK34,sK26)
    & midp(sK35,sK20,sK22)
    & perp(sK20,sK22,sK35,sK26)
    & midp(sK36,sK23,sK22)
    & perp(sK23,sK22,sK36,sK26)
    & midp(sK37,sK21,sK23)
    & perp(sK21,sK23,sK37,sK27)
    & midp(sK38,sK21,sK22)
    & perp(sK21,sK22,sK38,sK27)
    & midp(sK39,sK23,sK22)
    & perp(sK23,sK22,sK39,sK27) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39)],[f250]) ).

fof(f271,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X0,X2,X1) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f272,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X2)
      | coll(X1,X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f273,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X0,X1,X3)
      | ~ coll(X0,X1,X2)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f275,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X2,X3)
      | para(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f103]) ).

fof(f276,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,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,[],[f109]) ).

fof(f282,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X3,X0,X3,X2)
      | ~ cong(X3,X0,X3,X1)
      | circle(X3,X0,X1,X2) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f289,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,[],[f123]) ).

fof(f290,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,[],[f124]) ).

fof(f291,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,[],[f125]) ).

fof(f292,plain,
    ! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X8,X9,X10,X11)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X10,X11) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f299,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqratio(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f135]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqangle(X0,X1,X0,X2,X3,X1,X3,X4)
      | ~ circle(X3,X0,X1,X2)
      | ~ midp(X4,X1,X2) ),
    inference(cnf_transformation,[],[f169]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f336,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqratio(X4,X0,X0,X2,X4,X1,X1,X3)
      | ~ para(X0,X1,X2,X3)
      | ~ coll(X4,X0,X2)
      | ~ coll(X4,X1,X3) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f337,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X2)
      | coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f197]) ).

fof(f338,plain,
    ! [X2,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f346,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqratio(X0,X1,X2,X3,X4,X5,X6,X7)
      | cong(X0,X1,X2,X3)
      | ~ cong(X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f213]) ).

fof(f357,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(sK5(X0,X1,X2,X3,X4,X5),X5,X0,X2)
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f358,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(sK5(X0,X1,X2,X3,X4,X5),X4,X1,X3)
      | ~ midp(X4,X0,X1)
      | ~ midp(X5,X2,X3) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f384,plain,
    perp(sK23,sK22,sK39,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f411,plain,
    ~ perp(sK27,sK24,sK26,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f475,plain,
    perp(sK39,sK27,sK23,sK22),
    inference(resolution,[],[f278,f384]) ).

fof(f636,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK23,sK22)
      | para(X0,X1,sK39,sK27) ),
    inference(resolution,[],[f279,f384]) ).

fof(f702,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f289,f310]) ).

fof(f717,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X2,X1,X0,X3,X2,X3)
      | ~ cyclic(X1,X3,X0,X2) ),
    inference(resolution,[],[f291,f311]) ).

fof(f767,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqangle(X0,X2,X0,X4,X1,X2,X1,X3)
      | ~ midp(X4,X2,X3)
      | ~ circle(X0,X1,X2,X3) ),
    inference(resolution,[],[f321,f290]) ).

fof(f882,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X6,X7,sK5(X1,X2,X4,X5,X0,X3),X3)
      | ~ midp(X3,X4,X5)
      | ~ midp(X0,X1,X2)
      | para(X6,X7,X1,X4) ),
    inference(resolution,[],[f357,f276]) ).

fof(f891,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( para(X2,X5,sK5(X1,X2,X4,X5,X0,X3),X0)
      | ~ midp(X3,X4,X5)
      | ~ midp(X0,X1,X2) ),
    inference(resolution,[],[f358,f275]) ).

fof(f963,plain,
    ! [X2,X3,X0,X1,X4] :
      ( eqratio(X4,X0,X4,X1,X0,X2,X1,X3)
      | ~ coll(X4,X0,X2)
      | ~ coll(X4,X1,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f336,f299]) ).

fof(f1067,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X2,X3,X8,X9,X6,X7)
      | ~ para(X4,X5,X8,X9) ),
    inference(resolution,[],[f292,f310]) ).

fof(f1069,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X4,X6)
      | eqangle(X0,X1,X2,X3,X7,X5,X7,X6)
      | ~ cyclic(X5,X6,X4,X7) ),
    inference(resolution,[],[f292,f311]) ).

fof(f1920,plain,
    para(sK39,sK27,sK39,sK27),
    inference(resolution,[],[f636,f475]) ).

fof(f2454,plain,
    ! [X2,X3,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | para(X2,X3,X2,X3) ),
    inference(resolution,[],[f702,f309]) ).

fof(f2458,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X4,X5,X4,X5,X0,X1,X2,X3)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f702,f291]) ).

fof(f4192,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cong(X1,X2,X3,X4)
      | ~ coll(X0,X3,X4)
      | ~ para(X1,X3,X2,X4)
      | cong(X0,X1,X0,X3)
      | ~ coll(X0,X1,X2) ),
    inference(resolution,[],[f963,f346]) ).

fof(f4513,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( eqangle(X0,X1,X0,X2,X3,X4,X5,X6)
      | ~ para(X5,X1,X3,X4)
      | ~ midp(X2,X1,X6)
      | ~ circle(X0,X5,X1,X6) ),
    inference(resolution,[],[f1067,f767]) ).

fof(f4539,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X0,X1,X0,X1,X2,X3,X2,X3)
      | ~ cyclic(X3,X3,X0,X2)
      | ~ cyclic(X1,X3,X0,X0) ),
    inference(resolution,[],[f1069,f717]) ).

fof(f4602,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X0,X1,X2)
      | ~ midp(X0,X3,X4)
      | para(X4,X2,X3,X1)
      | ~ midp(X0,X1,X2)
      | ~ midp(X0,X3,X4) ),
    inference(resolution,[],[f882,f891]) ).

fof(f4633,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X0,X3,X4)
      | ~ midp(X0,X1,X2)
      | para(X4,X2,X3,X1) ),
    inference(duplicate_literal_removal,[],[f4602]) ).

fof(f23845,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f2454,f1920]) ).

fof(f25979,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(resolution,[],[f2458,f313]) ).

fof(f25980,plain,
    ! [X2,X0,X1] :
      ( ~ para(X0,X1,X0,X1)
      | cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(resolution,[],[f2458,f312]) ).

fof(f25998,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f25980,f23845]) ).

fof(f25999,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X1,X2,X0)
      | ~ coll(X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f25979,f23845]) ).

fof(f26000,plain,
    ! [X2,X0,X1] : cyclic(X1,X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f25999,f25998]) ).

fof(f33655,plain,
    ! [X0,X1] : coll(X0,X1,X1),
    inference(resolution,[],[f23845,f337]) ).

fof(f33838,plain,
    ! [X0,X1] : coll(X0,X1,X0),
    inference(resolution,[],[f33655,f272]) ).

fof(f33932,plain,
    ! [X0,X1] : coll(X0,X0,X1),
    inference(resolution,[],[f33838,f271]) ).

fof(f34039,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X0,X1)
      | coll(X1,X2,X0) ),
    inference(resolution,[],[f33932,f273]) ).

fof(f34042,plain,
    ! [X2,X0,X1] : coll(X1,X2,X0),
    inference(forward_subsumption_resolution,[],[f34039,f33932]) ).

fof(f36943,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cyclic(X0,X1,X2,X3) ),
    inference(resolution,[],[f26000,f287]) ).

fof(f36982,plain,
    ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f36943,f26000]) ).

fof(f47222,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X3,X0,X1,X1)
      | ~ cyclic(X3,X3,X1,X0)
      | ~ cyclic(X3,X3,X1,X0)
      | ~ cyclic(X3,X3,X1,X2)
      | cong(X3,X3,X0,X0) ),
    inference(resolution,[],[f4539,f314]) ).

fof(f47244,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X3,X0,X1,X1)
      | ~ cyclic(X3,X3,X1,X0)
      | ~ cyclic(X3,X3,X1,X2)
      | cong(X3,X3,X0,X0) ),
    inference(duplicate_literal_removal,[],[f47222]) ).

fof(f47249,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X3,X0,X1,X1)
      | ~ cyclic(X3,X3,X1,X0)
      | cong(X3,X3,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f47244,f36982]) ).

fof(f47257,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | ~ cyclic(X3,X0,X1,X1)
      | cong(X3,X3,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f47249,f36982]) ).

fof(f47265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X0,X1,X2)
      | cong(X3,X3,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f47257,f36982]) ).

fof(f47266,plain,
    ! [X3,X0] : cong(X3,X3,X0,X0),
    inference(forward_subsumption_resolution,[],[f47265,f36982]) ).

fof(f63649,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X1)
      | ~ para(X2,X1,X2,X1)
      | cong(X0,X2,X0,X1)
      | ~ coll(X0,X2,X2) ),
    inference(resolution,[],[f4192,f47266]) ).

fof(f64189,plain,
    ! [X2,X0,X1] :
      ( ~ coll(X0,X1,X1)
      | ~ para(X2,X1,X2,X1)
      | cong(X0,X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f63649,f34042]) ).

fof(f64445,plain,
    ! [X2,X0,X1] :
      ( ~ para(X2,X1,X2,X1)
      | cong(X0,X2,X0,X1) ),
    inference(forward_subsumption_resolution,[],[f64189,f34042]) ).

fof(f64504,plain,
    ! [X2,X0,X1] : cong(X0,X2,X0,X1),
    inference(forward_subsumption_resolution,[],[f64445,f23845]) ).

fof(f66183,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X0,X2)
      | circle(X0,X1,X2,X3) ),
    inference(resolution,[],[f64504,f282]) ).

fof(f66185,plain,
    ! [X2,X0,X1] :
      ( midp(X0,X1,X2)
      | ~ coll(X0,X1,X2) ),
    inference(resolution,[],[f64504,f338]) ).

fof(f66326,plain,
    ! [X2,X0,X1] : midp(X0,X1,X2),
    inference(forward_subsumption_resolution,[],[f66185,f34042]) ).

fof(f66327,plain,
    ! [X2,X3,X0,X1] : circle(X0,X1,X2,X3),
    inference(forward_subsumption_resolution,[],[f66183,f64504]) ).

fof(f66440,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ midp(X0,X1,X2)
      | para(X3,X2,X4,X1) ),
    inference(resolution,[],[f66326,f4633]) ).

fof(f66840,plain,
    ! [X2,X3,X1,X4] : para(X3,X2,X4,X1),
    inference(forward_subsumption_resolution,[],[f66440,f66326]) ).

fof(f67560,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X0,X2)
      | ~ midp(X3,X1,X4)
      | ~ circle(X5,X0,X1,X4)
      | ~ cyclic(X1,X3,X5,X2)
      | ~ cyclic(X1,X3,X5,X4)
      | ~ cyclic(X1,X3,X5,X0)
      | cong(X1,X3,X2,X4) ),
    inference(resolution,[],[f4513,f314]) ).

fof(f67575,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ midp(X3,X1,X4)
      | ~ circle(X5,X0,X1,X4)
      | ~ cyclic(X1,X3,X5,X2)
      | ~ cyclic(X1,X3,X5,X4)
      | ~ cyclic(X1,X3,X5,X0)
      | cong(X1,X3,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f67560,f66840]) ).

fof(f67596,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ circle(X5,X0,X1,X4)
      | ~ cyclic(X1,X3,X5,X2)
      | ~ cyclic(X1,X3,X5,X4)
      | ~ cyclic(X1,X3,X5,X0)
      | cong(X1,X3,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f67575,f66326]) ).

fof(f67617,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclic(X1,X3,X5,X2)
      | ~ cyclic(X1,X3,X5,X4)
      | ~ cyclic(X1,X3,X5,X0)
      | cong(X1,X3,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f67596,f66327]) ).

fof(f67638,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ cyclic(X1,X3,X5,X2)
      | ~ cyclic(X1,X3,X5,X4)
      | cong(X1,X3,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f67617,f36982]) ).

fof(f67655,plain,
    ! [X2,X3,X1,X4,X5] :
      ( ~ cyclic(X1,X3,X5,X2)
      | cong(X1,X3,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f67638,f36982]) ).

fof(f67657,plain,
    ! [X2,X3,X1,X4] : cong(X1,X3,X2,X4),
    inference(forward_subsumption_resolution,[],[f67655,f36982]) ).

fof(f67707,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X1,X2,X1)
      | perp(X0,X2,X1,X3) ),
    inference(resolution,[],[f67657,f327]) ).

fof(f67792,plain,
    ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3),
    inference(forward_subsumption_resolution,[],[f67707,f67657]) ).

fof(f67954,plain,
    $false,
    inference(resolution,[],[f67792,f411]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36  % Computer : n007.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 08:26:55 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40  Running first-order model finding
% 0.10/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.85/1.67  % (1103233)Will run a generic schedule for satisfiability detection.
% 7.85/1.67  % (1103238)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2914579855_2999 on theBenchmark for (2999ds/0Mi)
% 7.85/1.67  % TRYING [1]
% 7.85/1.67  % TRYING [2]
% 7.85/1.67  % (1103241)dis+10_1_sil=32000:sp=arity:random_seed=851965285:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.85/1.67  % (1103242)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=734567025:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.85/1.67  % (1103240)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2164611494:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.85/1.67  % (1103244)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1585408641:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.85/1.67  % (1103243)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1651455106:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.85/1.67  % (1103239)% WARNING: option uhcvi not known.
% 7.85/1.67  % (1103239)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3239142076:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.85/1.67  % TRYING [3]
% 7.85/1.67  % (1103241)Instruction limit reached! 
% 7.85/1.67  % (1103241)------------------------------
% 7.85/1.67  % (1103241)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.67  % (1103241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.67  % (1103241)CaDiCaL version: 2.1.3
% 7.85/1.67  % (1103241)Termination reason: Instruction limit
% 7.85/1.67  % (1103241)Termination phase: Saturation
% 7.85/1.67  % (1103241)Time elapsed: 0.064 s
% 7.85/1.67  % (1103241)Peak memory usage: 13 MB
% 7.85/1.67  % (1103241)Instructions burned: 104 (million)
% 7.85/1.67  % (1103242)Instruction limit reached! 
% 7.85/1.67  % (1103242)------------------------------
% 7.85/1.67  % (1103242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.67  % (1103242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.67  % (1103242)CaDiCaL version: 2.1.3
% 7.85/1.67  % (1103242)Termination reason: Instruction limit
% 7.85/1.67  % (1103242)Termination phase: Saturation
% 7.85/1.67  % (1103242)Time elapsed: 0.068 s
% 7.85/1.67  % (1103242)Peak memory usage: 13 MB
% 7.85/1.67  % (1103242)Instructions burned: 117 (million)
% 7.85/1.67  % (1103243)Instruction limit reached! 
% 7.85/1.67  % (1103243)------------------------------
% 7.85/1.67  % (1103243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.67  % (1103243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.67  % (1103243)CaDiCaL version: 2.1.3
% 7.85/1.67  % (1103243)Termination reason: Instruction limit
% 7.85/1.67  % (1103243)Termination phase: Saturation
% 7.85/1.67  % (1103243)Time elapsed: 0.076 s
% 7.85/1.67  % (1103243)Peak memory usage: 14 MB
% 7.85/1.67  % (1103243)Instructions burned: 131 (million)
% 7.85/1.67  % (1103252)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1841076788:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 7.85/1.67  % (1103253)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=996474589:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.85/1.67  % TRYING [1]
% 7.85/1.67  % (1103244)Instruction limit reached! 
% 7.85/1.67  % (1103244)------------------------------
% 7.85/1.67  % (1103244)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.67  % TRYING [2]
% 7.85/1.67  % (1103244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.85/1.67  % (1103244)CaDiCaL version: 2.1.3
% 7.85/1.67  % (1103244)Termination reason: Instruction limit
% 7.85/1.67  % (1103244)Termination phase: Saturation
% 7.85/1.67  % (1103244)Time elapsed: 0.097 s
% 7.85/1.67  % (1103244)Peak memory usage: 14 MB
% 7.85/1.67  % (1103244)Instructions burned: 160 (million)
% 7.85/1.67  % (1103254)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1276498137:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.85/1.67  % (1103258)ott-21_1_sil=16000:fs=off:random_seed=3747553537:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.85/1.67  % TRYING [3]
% 7.85/1.67  % (1103253)Instruction limit reached! 
% 7.85/1.67  % (1103253)------------------------------
% 7.85/1.67  % (1103253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.85/1.67  % (1103253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103253)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103253)Termination reason: Instruction limit
% 11.58/5.09  % (1103253)Termination phase: Saturation
% 11.58/5.09  % (1103253)Time elapsed: 0.080 s
% 11.58/5.09  % (1103253)Peak memory usage: 14 MB
% 11.58/5.09  % (1103253)Instructions burned: 132 (million)
% 11.58/5.09  % (1103260)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=343441705:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 11.58/5.09  % (1103258)Instruction limit reached! 
% 11.58/5.09  % (1103258)------------------------------
% 11.58/5.09  % (1103258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103258)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103258)Termination reason: Instruction limit
% 11.58/5.09  % (1103258)Termination phase: Saturation
% 11.58/5.09  % (1103258)Time elapsed: 0.096 s
% 11.58/5.09  % (1103258)Peak memory usage: 13 MB
% 11.58/5.09  % (1103258)Instructions burned: 180 (million)
% 11.58/5.09  % (1103262)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2552544008:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 11.58/5.09  % TRYING [1]
% 11.58/5.09  % TRYING [2]
% 11.58/5.09  % TRYING [3]
% 11.58/5.09  % (1103252)Instruction limit reached! 
% 11.58/5.09  % (1103252)------------------------------
% 11.58/5.09  % (1103252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103252)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103252)Termination reason: Instruction limit
% 11.58/5.09  % (1103252)Termination phase: Finite model building constraint generation
% 11.58/5.09  % (1103252)Time elapsed: 0.248 s
% 11.58/5.09  % (1103252)Peak memory usage: 24 MB
% 11.58/5.09  % (1103252)Instructions burned: 715 (million)
% 11.58/5.09  % (1103264)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=425582642:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 11.58/5.09  % (1103260)Instruction limit reached! 
% 11.58/5.09  % (1103260)------------------------------
% 11.58/5.09  % (1103260)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103260)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103260)Termination reason: Instruction limit
% 11.58/5.09  % (1103260)Termination phase: Saturation
% 11.58/5.09  % (1103260)Time elapsed: 0.264 s
% 11.58/5.09  % (1103260)Peak memory usage: 15 MB
% 11.58/5.09  % (1103260)Instructions burned: 478 (million)
% 11.58/5.09  % (1103266)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2024022556:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 11.58/5.09  % (1103254)Instruction limit reached! 
% 11.58/5.09  % (1103254)------------------------------
% 11.58/5.09  % (1103254)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103254)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103254)Termination reason: Instruction limit
% 11.58/5.09  % (1103254)Termination phase: Saturation
% 11.58/5.09  % (1103254)Time elapsed: 0.384 s
% 11.58/5.09  % (1103254)Peak memory usage: 19 MB
% 11.58/5.09  % (1103254)Instructions burned: 684 (million)
% 11.58/5.09  % (1103266)Cannot represent all propositional literals internally
% 11.58/5.09  % (1103266)Refutation not found, incomplete strategy
% 11.58/5.09  % (1103266)------------------------------
% 11.58/5.09  % (1103266)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103266)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103266)Termination reason: Refutation not found, incomplete strategy
% 11.58/5.09  % (1103266)Time elapsed: 0.007 s
% 11.58/5.09  % (1103266)Peak memory usage: 10 MB
% 11.58/5.09  % (1103266)Instructions burned: 14 (million)
% 11.58/5.09  % (1103266)------------------------------
% 11.58/5.09  % (1103266)------------------------------
% 11.58/5.09  % (1103268)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2736846693:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 11.58/5.09  % (1103269)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1511957931:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 11.58/5.09  % (1103262)Instruction limit reached! 
% 11.58/5.09  % (1103262)------------------------------
% 11.58/5.09  % (1103262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103262)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103262)Termination reason: Instruction limit
% 11.58/5.09  % (1103262)Termination phase: Finite model building constraint generation
% 11.58/5.09  % (1103262)Time elapsed: 0.304 s
% 11.58/5.09  % (1103262)Peak memory usage: 50 MB
% 11.58/5.09  % (1103262)Instructions burned: 868 (million)
% 11.58/5.09  % (1103272)fmb+10_1_sil=64000:random_seed=1133954945:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 11.58/5.09  % TRYING [1]
% 11.58/5.09  % TRYING [2]
% 11.58/5.09  % TRYING [3]
% 11.58/5.09  % (1103268)Instruction limit reached! 
% 11.58/5.09  % (1103268)------------------------------
% 11.58/5.09  % (1103268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103268)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103268)Termination reason: Instruction limit
% 11.58/5.09  % (1103268)Termination phase: Saturation
% 11.58/5.09  % (1103268)Time elapsed: 0.356 s
% 11.58/5.09  % (1103268)Peak memory usage: 22 MB
% 11.58/5.09  % (1103268)Instructions burned: 696 (million)
% 11.58/5.09  % (1103274)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1388734431:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 11.58/5.09  % (1103274)Cannot represent all propositional literals internally
% 11.58/5.09  % (1103274)Refutation not found, incomplete strategy
% 11.58/5.09  % (1103274)------------------------------
% 11.58/5.09  % (1103274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103274)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103274)Termination reason: Refutation not found, incomplete strategy
% 11.58/5.09  % (1103274)Time elapsed: 0.007 s
% 11.58/5.09  % (1103274)Peak memory usage: 10 MB
% 11.58/5.09  % (1103274)Instructions burned: 14 (million)
% 11.58/5.09  % (1103274)------------------------------
% 11.58/5.09  % (1103274)------------------------------
% 11.58/5.09  % (1103276)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=4072789040:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 11.58/5.09  % TRYING [8]
% 11.58/5.09  % (1103269)Instruction limit reached! 
% 11.58/5.09  % (1103269)------------------------------
% 11.58/5.09  % (1103269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103269)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103269)Termination reason: Instruction limit
% 11.58/5.09  % (1103269)Termination phase: Saturation
% 11.58/5.09  % (1103269)Time elapsed: 0.470 s
% 11.58/5.09  % (1103269)Peak memory usage: 18 MB
% 11.58/5.09  % (1103269)Instructions burned: 880 (million)
% 11.58/5.09  % (1103278)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1510928391:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 11.58/5.09  % (1103264)Instruction limit reached! 
% 11.58/5.09  % (1103264)------------------------------
% 11.58/5.09  % (1103264)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103264)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103264)Termination reason: Instruction limit
% 11.58/5.09  % (1103264)Termination phase: Saturation
% 11.58/5.09  % (1103264)Time elapsed: 0.656 s
% 11.58/5.09  % (1103264)Peak memory usage: 28 MB
% 11.58/5.09  % (1103264)Instructions burned: 1180 (million)
% 11.58/5.09  % (1103280)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2327850547:i=1472:ins=7:fdi=8:gsp=on_2989 on theBenchmark for (2989ds/1472Mi)
% 11.58/5.09  % TRYING [4]
% 11.58/5.09  % (1103276)Instruction limit reached! 
% 11.58/5.09  % (1103276)------------------------------
% 11.58/5.09  % (1103276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103276)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103276)Termination reason: Instruction limit
% 11.58/5.09  % (1103276)Termination phase: Finite model building constraint generation
% 11.58/5.09  % (1103276)Time elapsed: 0.285 s
% 11.58/5.09  % (1103276)Peak memory usage: 46 MB
% 11.58/5.09  % (1103276)Instructions burned: 921 (million)
% 11.58/5.09  % (1103282)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3823247805:i=6324_2987 on theBenchmark for (2987ds/6324Mi)
% 11.58/5.09  % (1103282)Cannot represent all propositional literals internally
% 11.58/5.09  % (1103282)Refutation not found, incomplete strategy
% 11.58/5.09  % (1103282)------------------------------
% 11.58/5.09  % (1103282)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103282)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103282)Termination reason: Refutation not found, incomplete strategy
% 11.58/5.09  % (1103282)Time elapsed: 0.009 s
% 11.58/5.09  % (1103282)Peak memory usage: 11 MB
% 11.58/5.09  % (1103282)Instructions burned: 17 (million)
% 11.58/5.09  % (1103282)------------------------------
% 11.58/5.09  % (1103282)------------------------------
% 11.58/5.09  % (1103284)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2980168937:fmbsr=2.30978:i=2174_2987 on theBenchmark for (2987ds/2174Mi)
% 11.58/5.09  % (1103284)Cannot represent all propositional literals internally
% 11.58/5.09  % (1103284)Refutation not found, incomplete strategy
% 11.58/5.09  % (1103284)------------------------------
% 11.58/5.09  % (1103284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103284)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103284)Termination reason: Refutation not found, incomplete strategy
% 11.58/5.09  % (1103284)Time elapsed: 0.083 s
% 11.58/5.09  % (1103284)Peak memory usage: 12 MB
% 11.58/5.09  % (1103284)Instructions burned: 168 (million)
% 11.58/5.09  % (1103284)------------------------------
% 11.58/5.09  % (1103284)------------------------------
% 11.58/5.09  % (1103286)ott-2_1_sil=16000:newcnf=on:random_seed=1383308701:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2986 on theBenchmark for (2986ds/869Mi)
% 11.58/5.09  % (1103286)Instruction limit reached! 
% 11.58/5.09  % (1103286)------------------------------
% 11.58/5.09  % (1103286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103286)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103286)Termination reason: Instruction limit
% 11.58/5.09  % (1103286)Termination phase: Saturation
% 11.58/5.09  % (1103286)Time elapsed: 0.549 s
% 11.58/5.09  % (1103286)Peak memory usage: 17 MB
% 11.58/5.09  % (1103286)Instructions burned: 870 (million)
% 11.58/5.09  % (1103280)Instruction limit reached! 
% 11.58/5.09  % (1103280)------------------------------
% 11.58/5.09  % (1103280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103280)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103280)Termination reason: Instruction limit
% 11.58/5.09  % (1103280)Termination phase: Saturation
% 11.58/5.09  % (1103280)Time elapsed: 0.889 s
% 11.58/5.09  % (1103280)Peak memory usage: 25 MB
% 11.58/5.09  % (1103280)Instructions burned: 1473 (million)
% 11.58/5.09  % (1103288)ott+10_1_sil=32000:tgt=ground:random_seed=1461119844:i=5114:av=off_2980 on theBenchmark for (2980ds/5114Mi)
% 11.58/5.09  % (1103289)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=4206266293:i=54282_2980 on theBenchmark for (2980ds/54282Mi)
% 11.58/5.09  % TRYING [1]
% 11.58/5.09  % TRYING [2]
% 11.58/5.09  % TRYING [3]
% 11.58/5.09  % TRYING [4]
% 11.58/5.09  % (1103278)Instruction limit reached! 
% 11.58/5.09  % (1103278)------------------------------
% 11.58/5.09  % (1103278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103278)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103278)Termination reason: Instruction limit
% 11.58/5.09  % (1103278)Termination phase: Saturation
% 11.58/5.09  % (1103278)Time elapsed: 3.134 s
% 11.58/5.09  % (1103278)Peak memory usage: 34 MB
% 11.58/5.09  % (1103278)Instructions burned: 5132 (million)
% 11.58/5.09  % (1103292)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2276370456:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 11.58/5.09  % (1103288) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1103233-1103288"...
% 11.58/5.09  % (1103288)...printing done.
% 11.58/5.09  % (1103288)Refutation found. Thanks to Tanya!
% 11.58/5.09  % SZS status Theorem for theBenchmark
% 11.58/5.09  % SZS output start Proof for theBenchmark
% See solution above
% 11.58/5.09  % (1103288)------------------------------
% 11.58/5.09  % (1103288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.58/5.09  % (1103288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.58/5.09  % (1103288)CaDiCaL version: 2.1.3
% 11.58/5.09  % (1103288)Termination reason: Refutation
% 11.58/5.09  % (1103288)Time elapsed: 2.629 s
% 11.58/5.09  % (1103288)Peak memory usage: 51 MB
% 11.58/5.09  % (1103288)Instructions burned: 4299 (million)
% 11.58/5.09  % (1103233)Success in time 4.678 s
% 11.58/5.09  % Vampire exiting
%------------------------------------------------------------------------------