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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : GEO586+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 : n026.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 09:54:48 AM UTC 2026

% Result   : Theorem 4.63s 1.17s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   30
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  140 (  13 unt;   2 def)
%            Number of atoms       :  367 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  392 ( 165   ~; 173   |;  31   &)
%                                         (   2 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :  534 (   0 sgn 513   !;  21   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/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/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(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD15) ).

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD16) ).

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(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(f49,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( circle(X3,X0,X1,X2)
        & perp(X3,X0,X0,X4) )
     => eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD48) ).

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(f58,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3)
        & cyclic(X0,X1,X2,X3) )
     => perp(X2,X0,X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleD57) ).

fof(f87,axiom,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X3,X0,X1,X2)
     => perp(X4,X0,X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

fof(f90,axiom,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( ( perp(X0,X2,X2,X1)
        & cyclic(X0,X1,X2,X3) )
     => circle(X4,X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO012+0.ax',ruleX14) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X7)
        & coll(X5,X0,X2)
        & coll(X5,X1,X4)
        & circle(X6,X0,X1,X5) )
     => perp(X6,X5,X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL416048) ).

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

fof(f106,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X3,X2)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f7]) ).

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(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f111,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f110]) ).

fof(f117,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f118,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f119,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

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(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(f164,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ circle(X3,X0,X1,X2)
      | ~ perp(X3,X0,X0,X4) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f165,plain,
    ! [X0,X1,X2,X3,X4] :
      ( eqangle(X0,X4,X0,X1,X2,X0,X2,X1)
      | ~ circle(X3,X0,X1,X2)
      | ~ perp(X3,X0,X0,X4) ),
    inference(flattening,[],[f164]) ).

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(f182,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f183,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f182]) ).

fof(f234,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( perp(X4,X0,X0,X3)
      | ~ circle(X3,X0,X1,X2) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f239,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f90]) ).

fof(f240,plain,
    ! [X0,X1,X2,X3] :
    ? [X4] :
      ( circle(X4,X0,X1,X2)
      | ~ perp(X0,X2,X2,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f239]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X6,X5,X2,X4)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X7)
      & coll(X5,X0,X2)
      & coll(X5,X1,X4)
      & circle(X6,X0,X1,X5) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( ~ perp(X6,X5,X2,X4)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X7)
      & coll(X5,X0,X2)
      & coll(X5,X1,X4)
      & circle(X6,X0,X1,X5) ),
    inference(flattening,[],[f249]) ).

fof(f257,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f106]) ).

fof(f258,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f259,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(f260,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,[],[f111]) ).

fof(f264,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f265,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f266,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f267,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f269,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,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f292,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f293,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,[],[f154]) ).

fof(f294,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f299,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ perp(X3,X0,X0,X4)
      | ~ circle(X3,X0,X1,X2)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f307,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(f308,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3) ),
    inference(cnf_transformation,[],[f183]) ).

fof(f350,plain,
    ! [X2,X3,X0,X1] :
      ( ~ circle(X3,X0,X1,X2)
      | perp(sK11(X0,X1,X2,X3),X0,X0,X3) ),
    inference(cnf_transformation,[],[f234]) ).

fof(f356,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ perp(X0,X2,X2,X1)
      | circle(sK15(X0,X1,X2,X3),X0,X1,X2) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f368,plain,
    circle(sK23,sK20,sK21,sK22),
    inference(cnf_transformation,[],[f250]) ).

fof(f369,plain,
    ~ perp(sK26,sK25,sK22,sK24),
    inference(cnf_transformation,[],[f250]) ).

fof(f373,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X3,X2)
      | perp(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f257]) ).

fof(f374,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X2,X3,X0,X1)
      | perp(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f258]) ).

fof(f375,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( perp(X2,X3,X4,X5)
      | perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(consistent_polarity_flipping,[],[f259]) ).

fof(f376,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X4,X5) ),
    inference(consistent_polarity_flipping,[],[f260]) ).

fof(f378,plain,
    ! [X2,X3,X0,X1] :
      ( ~ coll(X2,X3,X0)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f292]) ).

fof(f379,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X1)
      | cyclic(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f293]) ).

fof(f382,plain,
    ! [X2,X3,X0,X1,X4] :
      ( perp(X3,X0,X0,X4)
      | circle(X3,X0,X1,X2)
      | eqangle(X0,X4,X0,X1,X2,X0,X2,X1) ),
    inference(consistent_polarity_flipping,[],[f299]) ).

fof(f389,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ perp(X0,X1,X2,X3) ),
    inference(consistent_polarity_flipping,[],[f307]) ).

fof(f390,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ perp(X2,X0,X0,X3) ),
    inference(consistent_polarity_flipping,[],[f308]) ).

fof(f419,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(sK11(X0,X1,X2,X3),X0,X0,X3)
      | circle(X3,X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f350]) ).

fof(f425,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | perp(X0,X2,X2,X1)
      | ~ circle(sK15(X0,X1,X2,X3),X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f356]) ).

fof(f433,plain,
    perp(sK26,sK25,sK22,sK24),
    inference(consistent_polarity_flipping,[],[f369]) ).

fof(f434,plain,
    ~ circle(sK23,sK20,sK21,sK22),
    inference(consistent_polarity_flipping,[],[f368]) ).

fof(f441,plain,
    perp(sK26,sK25,sK24,sK22),
    inference(resolution,[],[f373,f433]) ).

fof(f460,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( perp(X4,X5,X0,X1)
      | para(X4,X5,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(resolution,[],[f375,f374]) ).

fof(f472,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ perp(X4,X5,X2,X3)
      | perp(X0,X1,X2,X3)
      | perp(X6,X7,X0,X1)
      | perp(X4,X5,X6,X7) ),
    inference(resolution,[],[f376,f375]) ).

fof(f487,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,X2,X3)
      | para(X0,X1,X0,X1) ),
    inference(factoring,[],[f460]) ).

fof(f488,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | perp(X2,X3,X0,X1) ),
    inference(resolution,[],[f487,f374]) ).

fof(f504,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X3,X0,X3)
      | circle(X3,X0,X1,X2) ),
    inference(resolution,[],[f488,f419]) ).

fof(f537,plain,
    para(sK20,sK23,sK20,sK23),
    inference(resolution,[],[f504,f434]) ).

fof(f543,plain,
    ! [X0,X1] : eqangle(sK20,sK23,X0,X1,sK20,sK23,X0,X1),
    inference(resolution,[],[f537,f290]) ).

fof(f629,plain,
    ! [X0,X1] : eqangle(X0,X1,sK20,sK23,X0,X1,sK20,sK23),
    inference(resolution,[],[f543,f269]) ).

fof(f733,plain,
    ! [X0] :
      ( coll(sK20,sK20,sK23)
      | cyclic(X0,sK23,sK20,sK20) ),
    inference(resolution,[],[f629,f379]) ).

fof(f737,definition,
    ( spl28_6
  <=> ! [X0] : cyclic(X0,sK23,sK20,sK20) ),
    introduced(definition,[new_symbols(definition,[spl28_6])],[avatar_definition]) ).

fof(f738,plain,
    ( ! [X0] : cyclic(X0,sK23,sK20,sK20)
    | ~ spl28_6 ),
    inference(avatar_component_clause,[],[f737]) ).

fof(f740,definition,
    ( spl28_7
  <=> coll(sK20,sK20,sK23) ),
    introduced(definition,[new_symbols(definition,[spl28_7])],[avatar_definition]) ).

fof(f742,plain,
    ( coll(sK20,sK20,sK23)
    | ~ spl28_7 ),
    inference(avatar_component_clause,[],[f740]) ).

fof(f743,plain,
    ( spl28_6
    | spl28_7 ),
    inference(avatar_split_clause,[],[f733,f740,f737]) ).

fof(f751,plain,
    ( ! [X0] : cyclic(sK23,X0,sK20,sK20)
    | ~ spl28_6 ),
    inference(resolution,[],[f738,f266]) ).

fof(f832,plain,
    ( ! [X0] : cyclic(sK23,sK20,X0,sK20)
    | ~ spl28_6 ),
    inference(resolution,[],[f751,f265]) ).

fof(f1317,plain,
    ! [X2,X3,X0,X1] :
      ( perp(X0,X1,sK24,sK22)
      | perp(X2,X3,X0,X1)
      | perp(sK26,sK25,X2,X3) ),
    inference(resolution,[],[f472,f441]) ).

fof(f3297,plain,
    ( ! [X0] : cyclic(sK23,sK20,sK20,X0)
    | ~ spl28_6 ),
    inference(resolution,[],[f832,f264]) ).

fof(f3666,plain,
    ( ! [X0] :
        ( ~ eqangle(sK20,sK23,sK20,X0,sK20,sK23,sK20,X0)
        | cyclic(sK23,X0,sK20,sK20) )
    | ~ spl28_7 ),
    inference(resolution,[],[f742,f378]) ).

fof(f3674,plain,
    ( ! [X0] : cyclic(sK23,X0,sK20,sK20)
    | ~ spl28_7 ),
    inference(forward_subsumption_resolution,[],[f3666,f543]) ).

fof(f4247,plain,
    ( ! [X0] : cyclic(X0,sK23,sK20,sK20)
    | ~ spl28_7 ),
    inference(resolution,[],[f3674,f266]) ).

fof(f4256,plain,
    ( spl28_6
    | ~ spl28_7 ),
    inference(avatar_split_clause,[],[f4247,f740,f737]) ).

fof(f8944,plain,
    ( ! [X0,X1] :
        ( ~ cyclic(sK23,sK20,sK20,X0)
        | cyclic(sK20,sK20,X1,X0) )
    | ~ spl28_6 ),
    inference(resolution,[],[f3297,f267]) ).

fof(f8951,plain,
    ( ! [X0,X1] : cyclic(sK20,sK20,X1,X0)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f8944,f3297]) ).

fof(f10788,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(sK20,sK20,X0,X1)
        | cyclic(sK20,X0,X2,X1) )
    | ~ spl28_6 ),
    inference(resolution,[],[f8951,f267]) ).

fof(f10796,plain,
    ( ! [X2,X0,X1] : cyclic(sK20,X0,X2,X1)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f10788,f8951]) ).

fof(f10928,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(sK20,X0,X1,X2)
        | cyclic(X0,X1,X3,X2) )
    | ~ spl28_6 ),
    inference(resolution,[],[f10796,f267]) ).

fof(f10936,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X3,X2)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f10928,f10796]) ).

fof(f12340,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f291,f10936]) ).

fof(f12341,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X5)
        | ~ cyclic(X0,X1,X2,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f294,f10936]) ).

fof(f12343,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cong(X0,X2,X1,X2)
        | ~ cong(X0,X3,X1,X3)
        | ~ perp(X2,X0,X0,X3) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f390,f10936]) ).

fof(f12345,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ circle(sK15(X0,X1,X2,X3),X0,X1,X2)
        | perp(X0,X2,X2,X1) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f425,f10936]) ).

fof(f12347,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X5)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f12341,f10936]) ).

fof(f12348,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f12347,f10936]) ).

fof(f12376,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( perp(sK15(X0,X2,X1,X3),X0,X0,X4)
        | eqangle(X0,X4,X0,X2,X1,X0,X1,X2)
        | perp(X0,X1,X1,X2) )
    | ~ spl28_6 ),
    inference(resolution,[],[f12345,f382]) ).

fof(f12473,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl28_6 ),
    inference(resolution,[],[f12348,f12340]) ).

fof(f12535,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | ~ perp(X2,X0,X0,X1) )
    | ~ spl28_6 ),
    inference(resolution,[],[f12473,f12343]) ).

fof(f12572,plain,
    ( ! [X2,X0,X1] : ~ perp(X2,X0,X0,X1)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f12535,f12473]) ).

fof(f14198,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( perp(sK15(X0,X2,X1,X3),X0,X0,X4)
        | eqangle(X0,X4,X0,X2,X1,X0,X1,X2) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f12376,f12572]) ).

fof(f14351,plain,
    ( ! [X2,X0,X1,X4] : eqangle(X0,X4,X0,X2,X1,X0,X1,X2)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f14198,f12572]) ).

fof(f14654,plain,
    ( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
    | ~ spl28_6 ),
    inference(resolution,[],[f14351,f12348]) ).

fof(f15435,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cong(X0,X2,X1,X2)
        | ~ perp(X0,X1,X2,X3) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f389,f14654]) ).

fof(f15457,plain,
    ( ! [X2,X3,X0,X1] : ~ perp(X0,X1,X2,X3)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f15435,f14654]) ).

fof(f15610,plain,
    ( ! [X2,X3,X0,X1] :
        ( perp(X0,X1,sK24,sK22)
        | perp(sK26,sK25,X2,X3) )
    | ~ spl28_6 ),
    inference(backward_subsumption_resolution,[],[f1317,f15457]) ).

fof(f15705,plain,
    ( ! [X2,X3] : perp(sK26,sK25,X2,X3)
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f15610,f15457]) ).

fof(f15740,plain,
    ( $false
    | ~ spl28_6 ),
    inference(forward_subsumption_resolution,[],[f15705,f15457]) ).

fof(f15741,plain,
    ~ spl28_6,
    inference(avatar_contradiction_clause,[],[f15740]) ).

cnf(s3,plain,
    ( spl28_6
    | spl28_7 ),
    inference(sat_conversion,[],[f743]) ).

cnf(s43,plain,
    ( spl28_6
    | ~ spl28_7 ),
    inference(sat_conversion,[],[f4256]) ).

cnf(s231,plain,
    ~ spl28_6,
    inference(sat_conversion,[],[f15741]) ).

cnf(s233,plain,
    ~ spl28_7,
    inference(rat,[],[s43,s231]) ).

cnf(s234,plain,
    $false,
    inference(rat,[],[s3,s233,s231]) ).

fof(f15748,plain,
    $false,
    inference(avatar_sat_refutation,[],[s234]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO586+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40  % Computer : n026.cluster.edu
% 0.12/0.40  % Model    : x86_64 x86_64
% 0.12/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40  % Memory   : 8046.5625MB
% 0.12/0.40  % OS       : Linux 6.8.0-71-generic
% 0.12/0.40  % CPULimit : 300
% 0.12/0.40  % WCLimit  : 300
% 0.12/0.40  % DateTime : Sun Sep 27 08:37:27 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.41  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.44  Running first-order model finding
% 0.12/0.44  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
% 4.63/1.17  % (2529953)Will run a generic schedule for satisfiability detection.
% 4.63/1.17  % (2529958)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=110250331_2999 on theBenchmark for (2999ds/0Mi)
% 4.63/1.17  % (2529959)% WARNING: option uhcvi not known.
% 4.63/1.17  % TRYING [1]
% 4.63/1.17  % TRYING [2]
% 4.63/1.17  % (2529962)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3264598585:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.63/1.17  % (2529959)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2689623875:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.63/1.17  % (2529960)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3129734333:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.63/1.17  % (2529961)dis+10_1_sil=32000:sp=arity:random_seed=4084244829:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.63/1.17  % (2529963)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=289195459:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.63/1.17  % (2529964)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4202344896:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.63/1.17  % TRYING [3]
% 4.63/1.17  % (2529961)Instruction limit reached! 
% 4.63/1.17  % (2529961)------------------------------
% 4.63/1.17  % (2529961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529961)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529961)Termination reason: Instruction limit
% 4.63/1.17  % (2529961)Termination phase: Saturation
% 4.63/1.17  % (2529961)Time elapsed: 0.065 s
% 4.63/1.17  % (2529961)Peak memory usage: 13 MB
% 4.63/1.17  % (2529961)Instructions burned: 103 (million)
% 4.63/1.17  % (2529962)Instruction limit reached! 
% 4.63/1.17  % (2529962)------------------------------
% 4.63/1.17  % (2529962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529962)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529962)Termination reason: Instruction limit
% 4.63/1.17  % (2529962)Termination phase: Saturation
% 4.63/1.17  % (2529962)Time elapsed: 0.068 s
% 4.63/1.17  % (2529962)Peak memory usage: 13 MB
% 4.63/1.17  % (2529962)Instructions burned: 116 (million)
% 4.63/1.17  % (2529963)Instruction limit reached! 
% 4.63/1.17  % (2529963)------------------------------
% 4.63/1.17  % (2529963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529963)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529963)Termination reason: Instruction limit
% 4.63/1.17  % (2529963)Termination phase: Saturation
% 4.63/1.17  % (2529963)Time elapsed: 0.082 s
% 4.63/1.17  % (2529963)Peak memory usage: 14 MB
% 4.63/1.17  % (2529963)Instructions burned: 132 (million)
% 4.63/1.17  % (2529972)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1219982595:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.63/1.17  % (2529973)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=315508313:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.63/1.17  % TRYING [1]
% 4.63/1.17  % (2529964)Instruction limit reached! 
% 4.63/1.17  % (2529964)------------------------------
% 4.63/1.17  % (2529964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529964)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529964)Termination reason: Instruction limit
% 4.63/1.17  % (2529964)Termination phase: Saturation
% 4.63/1.17  % (2529964)Time elapsed: 0.095 s
% 4.63/1.17  % (2529964)Peak memory usage: 15 MB
% 4.63/1.17  % (2529964)Instructions burned: 160 (million)
% 4.63/1.17  % TRYING [2]
% 4.63/1.17  % (2529974)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=3023773518:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.63/1.17  % (2529977)ott-21_1_sil=16000:fs=off:random_seed=4085914391:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.63/1.17  % TRYING [3]
% 4.63/1.17  % (2529973)Instruction limit reached! 
% 4.63/1.17  % (2529973)------------------------------
% 4.63/1.17  % (2529973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529973)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529973)Termination reason: Instruction limit
% 4.63/1.17  % (2529973)Termination phase: Saturation
% 4.63/1.17  % (2529973)Time elapsed: 0.084 s
% 4.63/1.17  % (2529973)Peak memory usage: 14 MB
% 4.63/1.17  % (2529973)Instructions burned: 131 (million)
% 4.63/1.17  % (2529980)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1340988037:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 4.63/1.17  % (2529977)Instruction limit reached! 
% 4.63/1.17  % (2529977)------------------------------
% 4.63/1.17  % (2529977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529977)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529977)Termination reason: Instruction limit
% 4.63/1.17  % (2529977)Termination phase: Saturation
% 4.63/1.17  % (2529977)Time elapsed: 0.095 s
% 4.63/1.17  % (2529977)Peak memory usage: 13 MB
% 4.63/1.17  % (2529977)Instructions burned: 181 (million)
% 4.63/1.17  % (2529982)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4142942355:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.63/1.17  % TRYING [1]
% 4.63/1.17  % TRYING [2]
% 4.63/1.17  % TRYING [3]
% 4.63/1.17  % (2529972)Instruction limit reached! 
% 4.63/1.17  % (2529972)------------------------------
% 4.63/1.17  % (2529972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529972)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529972)Termination reason: Instruction limit
% 4.63/1.17  % (2529972)Termination phase: Finite model building constraint generation
% 4.63/1.17  % (2529972)Time elapsed: 0.254 s
% 4.63/1.17  % (2529972)Peak memory usage: 25 MB
% 4.63/1.17  % (2529972)Instructions burned: 715 (million)
% 4.63/1.17  % (2529984)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3364384634:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 4.63/1.17  % (2529980)Instruction limit reached! 
% 4.63/1.17  % (2529980)------------------------------
% 4.63/1.17  % (2529980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529980)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529980)Termination reason: Instruction limit
% 4.63/1.17  % (2529980)Termination phase: Saturation
% 4.63/1.17  % (2529980)Time elapsed: 0.288 s
% 4.63/1.17  % (2529980)Peak memory usage: 14 MB
% 4.63/1.17  % (2529980)Instructions burned: 478 (million)
% 4.63/1.17  % (2529986)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2883242502:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 4.63/1.17  % (2529986)Cannot represent all propositional literals internally
% 4.63/1.17  % (2529986)Refutation not found, incomplete strategy
% 4.63/1.17  % (2529986)------------------------------
% 4.63/1.17  % (2529986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529986)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529986)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.17  % (2529986)Time elapsed: 0.006 s
% 4.63/1.17  % (2529986)Peak memory usage: 11 MB
% 4.63/1.17  % (2529986)Instructions burned: 12 (million)
% 4.63/1.17  % (2529986)------------------------------
% 4.63/1.17  % (2529986)------------------------------
% 4.63/1.17  % (2529974)Instruction limit reached! 
% 4.63/1.17  % (2529974)------------------------------
% 4.63/1.17  % (2529974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529974)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529974)Termination reason: Instruction limit
% 4.63/1.17  % (2529974)Termination phase: Saturation
% 4.63/1.17  % (2529974)Time elapsed: 0.413 s
% 4.63/1.17  % (2529974)Peak memory usage: 21 MB
% 4.63/1.17  % (2529974)Instructions burned: 685 (million)
% 4.63/1.17  % (2529988)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=1533606057: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)
% 4.63/1.17  % (2529982)Instruction limit reached! 
% 4.63/1.17  % (2529982)------------------------------
% 4.63/1.17  % (2529982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.17  % (2529982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.17  % (2529982)CaDiCaL version: 2.1.3
% 4.63/1.17  % (2529982)Termination reason: Instruction limit
% 4.63/1.17  % (2529982)Termination phase: Finite model building constraint generation
% 4.63/1.17  % (2529982)Time elapsed: 0.302 s
% 4.63/1.17  % (2529982)Peak memory usage: 51 MB
% 4.63/1.17  % (2529982)Instructions burned: 866 (million)
% 4.63/1.17  % (2529989)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3445922366:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 4.63/1.17  % (2529992)fmb+10_1_sil=64000:random_seed=3160385199:i=22061:nm=2:gsp=on_2994 on theBenchmark for (2994ds/22061Mi)
% 4.63/1.17  % TRYING [1]
% 4.63/1.17  % TRYING [2]
% 4.63/1.17  % TRYING [3]
% 4.63/1.17  % (2529959) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2529953-2529959"...
% 4.63/1.17  % (2529959)...printing done.
% 4.63/1.17  % (2529959)Refutation found. Thanks to Tanya!
% 4.63/1.17  % SZS status Theorem for theBenchmark
% 4.63/1.17  % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.18  % (2529959)------------------------------
% 4.63/1.18  % (2529959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.63/1.18  % (2529959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.18  % (2529959)CaDiCaL version: 2.1.3
% 4.63/1.18  % (2529959)Termination reason: Refutation
% 4.63/1.18  % (2529959)Time elapsed: 0.678 s
% 4.63/1.18  % (2529959)Peak memory usage: 18 MB
% 4.63/1.18  % (2529959)Instructions burned: 1229 (million)
% 4.63/1.18  % (2529953)Success in time 0.726 s
% 4.63/1.18  % Vampire exiting
%------------------------------------------------------------------------------