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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 09:52:54 AM UTC 2026

% Result   : Theorem 4.49s 1.90s
% Output   : Refutation 8.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   97 (  10 unt;   2 def)
%            Number of atoms       :  314 (   0 equ)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  336 ( 119   ~; 113   |;  87   &)
%                                         (   2 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  473 (   0 sgn 441   !;  32   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD9) ).

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/theBenchmark.p',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/theBenchmark.p',ruleD19) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/theBenchmark.p',ruleD22) ).

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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',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/theBenchmark.p',ruleD43) ).

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/theBenchmark.p',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ( circle(X3,X0,X1,X2)
        & circle(X3,X0,X4,X13)
        & circle(X3,X0,X5,X14)
        & perp(X6,X5,X0,X4)
        & coll(X6,X0,X4)
        & circle(X3,X0,X7,X15)
        & perp(X8,X7,X0,X4)
        & coll(X8,X0,X4)
        & perp(X9,X7,X0,X2)
        & coll(X9,X0,X2)
        & perp(X10,X5,X0,X2)
        & coll(X10,X0,X2)
        & perp(X11,X5,X0,X1)
        & coll(X11,X0,X1)
        & perp(X12,X7,X0,X1)
        & coll(X12,X0,X1) )
     => eqangle(X6,X11,X11,X10,X8,X12,X12,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012009) ).

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

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(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(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(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(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(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X6,X11,X11,X10,X8,X12,X12,X9)
      & circle(X3,X0,X1,X2)
      & circle(X3,X0,X4,X13)
      & circle(X3,X0,X5,X14)
      & perp(X6,X5,X0,X4)
      & coll(X6,X0,X4)
      & circle(X3,X0,X7,X15)
      & perp(X8,X7,X0,X4)
      & coll(X8,X0,X4)
      & perp(X9,X7,X0,X2)
      & coll(X9,X0,X2)
      & perp(X10,X5,X0,X2)
      & coll(X10,X0,X2)
      & perp(X11,X5,X0,X1)
      & coll(X11,X0,X1)
      & perp(X12,X7,X0,X1)
      & coll(X12,X0,X1) ),
    inference(ennf_transformation,[],[f96]) ).

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

fof(f270,plain,
    ( ~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29)
    & circle(sK23,sK20,sK21,sK22)
    & circle(sK23,sK20,sK24,sK33)
    & circle(sK23,sK20,sK25,sK34)
    & perp(sK26,sK25,sK20,sK24)
    & coll(sK26,sK20,sK24)
    & circle(sK23,sK20,sK27,sK35)
    & perp(sK28,sK27,sK20,sK24)
    & coll(sK28,sK20,sK24)
    & perp(sK29,sK27,sK20,sK22)
    & coll(sK29,sK20,sK22)
    & perp(sK30,sK25,sK20,sK22)
    & coll(sK30,sK20,sK22)
    & perp(sK31,sK25,sK20,sK21)
    & coll(sK31,sK20,sK21)
    & perp(sK32,sK27,sK20,sK21)
    & coll(sK32,sK20,sK21) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35]),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)],[f250]) ).

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(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(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(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(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(f387,plain,
    perp(sK31,sK25,sK20,sK21),
    inference(cnf_transformation,[],[f270]) ).

fof(f400,plain,
    ~ eqangle(sK26,sK31,sK31,sK30,sK28,sK32,sK32,sK29),
    inference(cnf_transformation,[],[f270]) ).

fof(f401,plain,
    ! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
      ( ~ eqangle(X4,X5,X6,X7,X0,X1,X8,X9)
      | ~ para(X0,X1,X2,X3)
      | eqangle(X4,X5,X6,X7,X2,X3,X8,X9) ),
    inference(resolution,[],[f310,f292]) ).

fof(f403,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X4,X5,X0,X1)
      | eqangle(X4,X5,X6,X7,X2,X3,X6,X7)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f401,f310]) ).

fof(f406,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f311,f314]) ).

fof(f407,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | cong(X0,X1,X0,X1) ),
    inference(duplicate_literal_removal,[],[f406]) ).

fof(f415,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(f434,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f291,f310]) ).

fof(f449,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | ~ para(X2,X3,X2,X3) ),
    inference(resolution,[],[f309,f415]) ).

fof(f452,definition,
    ( spl36_1
  <=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).

fof(f453,plain,
    ( ! [X2,X3] : ~ para(X2,X3,X2,X3)
    | ~ spl36_1 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f455,definition,
    ( spl36_2
  <=> ! [X0,X1] : para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).

fof(f456,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl36_2 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f457,plain,
    ( spl36_1
    | spl36_2 ),
    inference(avatar_split_clause,[],[f449,f455,f452]) ).

fof(f459,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK31,sK25)
      | para(X0,X1,sK20,sK21) ),
    inference(resolution,[],[f279,f387]) ).

fof(f468,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | ~ coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f313,f434]) ).

fof(f472,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | ~ coll(X1,X2,X0) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f468,f456]) ).

fof(f481,plain,
    perp(sK20,sK21,sK31,sK25),
    inference(resolution,[],[f278,f387]) ).

fof(f490,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f312,f434]) ).

fof(f494,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | ~ para(X1,X0,X1,X0) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f490,f472]) ).

fof(f497,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f494,f456]) ).

fof(f498,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl36_2 ),
    inference(resolution,[],[f497,f287]) ).

fof(f504,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f498,f497]) ).

fof(f507,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | ~ cyclic(X0,X1,X2,X1)
        | cong(X0,X1,X0,X1) )
    | ~ spl36_2 ),
    inference(resolution,[],[f504,f407]) ).

fof(f510,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | cong(X0,X1,X0,X1) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f507,f504]) ).

fof(f512,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f510,f504]) ).

fof(f513,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f512,f327]) ).

fof(f514,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f513,f512]) ).

fof(f515,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl36_2 ),
    inference(resolution,[],[f514,f278]) ).

fof(f517,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl36_2 ),
    inference(resolution,[],[f514,f279]) ).

fof(f528,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
    | ~ spl36_2 ),
    inference(resolution,[],[f517,f515]) ).

fof(f529,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
        | ~ para(X6,X7,X4,X5) )
    | ~ spl36_2 ),
    inference(resolution,[],[f528,f403]) ).

fof(f530,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f529,f528]) ).

fof(f531,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
    | ~ spl36_2 ),
    inference(resolution,[],[f530,f291]) ).

fof(f560,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( ~ para(X0,X1,X2,X3)
        | eqangle(X4,X5,X6,X7,X2,X3,X0,X1) )
    | ~ spl36_2 ),
    inference(resolution,[],[f531,f401]) ).

fof(f568,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X4,X5,X6,X7,X2,X3,X0,X1)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f560,f528]) ).

fof(f580,plain,
    ( $false
    | ~ spl36_2 ),
    inference(resolution,[],[f568,f400]) ).

fof(f581,plain,
    ~ spl36_2,
    inference(avatar_contradiction_clause,[],[f580]) ).

fof(f585,plain,
    para(sK20,sK21,sK20,sK21),
    inference(resolution,[],[f481,f459]) ).

fof(f589,plain,
    ( $false
    | ~ spl36_1 ),
    inference(forward_subsumption_resolution,[],[f585,f453]) ).

fof(f590,plain,
    ~ spl36_1,
    inference(avatar_contradiction_clause,[],[f589]) ).

cnf(s1,plain,
    ( spl36_1
    | spl36_2 ),
    inference(sat_conversion,[],[f457]) ).

cnf(s2,plain,
    ~ spl36_2,
    inference(sat_conversion,[],[f581]) ).

cnf(s3,plain,
    ~ spl36_1,
    inference(sat_conversion,[],[f590]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s2,s3]) ).

fof(f591,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO549+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37  % Computer : n016.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sun Sep 27 08:34:17 UTC 2026
% 0.12/0.37  % CPUTime  : 
% 0.12/0.37  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40  Running first-order theorem proving
% 0.12/0.40  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.49/1.90  % (2321019)Detected formulas, will run a generic FOF schedule.
% 4.49/1.90  % (2321027)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2001450066:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.49/1.90  % (2321027)Instruction limit reached! 
% 4.49/1.90  % (2321027)------------------------------
% 4.49/1.90  % (2321027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321027)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321027)Termination reason: Instruction limit
% 4.49/1.90  % (2321027)Termination phase: Saturation
% 4.49/1.90  % (2321027)Time elapsed: 0.034 s
% 4.49/1.90  % (2321027)Peak memory usage: 89 MB
% 4.49/1.90  % (2321027)Instructions burned: 110 (million)
% 4.49/1.90  % (2321026)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2427038956:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.49/1.90  % (2321028)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3697805230:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.49/1.90  % (2321030)dis-21_1_sil=8000:lcm=predicate:random_seed=3822823119:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.49/1.90  % (2321029)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=392720888:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.49/1.90  % (2321024)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3563078551:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.49/1.90  % (2321025)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2639592352:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.49/1.90  % (2321028)Instruction limit reached! 
% 4.49/1.90  % (2321028)------------------------------
% 4.49/1.90  % (2321028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321028)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321028)Termination reason: Instruction limit
% 4.49/1.90  % (2321028)Termination phase: Saturation
% 4.49/1.90  % (2321028)Time elapsed: 0.069 s
% 4.49/1.90  % (2321028)Peak memory usage: 89 MB
% 4.49/1.90  % (2321028)Instructions burned: 120 (million)
% 4.49/1.90  % (2321030)Instruction limit reached! 
% 4.49/1.90  % (2321030)------------------------------
% 4.49/1.90  % (2321030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321030)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321030)Termination reason: Instruction limit
% 4.49/1.90  % (2321030)Termination phase: Saturation
% 4.49/1.90  % (2321030)Time elapsed: 0.074 s
% 4.49/1.90  % (2321030)Peak memory usage: 89 MB
% 4.49/1.90  % (2321030)Instructions burned: 130 (million)
% 4.49/1.90  % (2321033)lrs+10_1_sil=8000:sp=occurrence:random_seed=3820097842:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.49/1.90  % (2321029)Instruction limit reached! 
% 4.49/1.90  % (2321029)------------------------------
% 4.49/1.90  % (2321029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321029)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321029)Termination reason: Instruction limit
% 4.49/1.90  % (2321029)Termination phase: Saturation
% 4.49/1.90  % (2321029)Time elapsed: 0.094 s
% 4.49/1.90  % (2321029)Peak memory usage: 90 MB
% 4.49/1.90  % (2321029)Instructions burned: 139 (million)
% 4.49/1.90  % (2321033)Instruction limit reached! 
% 4.49/1.90  % (2321033)------------------------------
% 4.49/1.90  % (2321033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321033)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321033)Termination reason: Instruction limit
% 4.49/1.90  % (2321033)Termination phase: Saturation
% 4.49/1.90  % (2321033)Time elapsed: 0.099 s
% 4.49/1.90  % (2321033)Peak memory usage: 93 MB
% 4.49/1.90  % (2321033)Instructions burned: 285 (million)
% 4.49/1.90  % (2321039)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3710771721:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.49/1.90  % (2321041)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1486712619:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.49/1.90  % (2321042)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3692064519:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.49/1.90  % (2321043)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3992332414:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.49/1.90  % (2321039)Instruction limit reached! 
% 4.49/1.90  % (2321039)------------------------------
% 4.49/1.90  % (2321039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321039)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321039)Termination reason: Instruction limit
% 4.49/1.90  % (2321039)Termination phase: Saturation
% 4.49/1.90  % (2321039)Time elapsed: 0.079 s
% 4.49/1.90  % (2321039)Peak memory usage: 89 MB
% 4.49/1.90  % (2321039)Instructions burned: 159 (million)
% 4.49/1.90  % (2321043)Instruction limit reached! 
% 4.49/1.90  % (2321043)------------------------------
% 4.49/1.90  % (2321043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321043)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321043)Termination reason: Instruction limit
% 4.49/1.90  % (2321043)Termination phase: Saturation
% 4.49/1.90  % (2321043)Time elapsed: 0.090 s
% 4.49/1.90  % (2321043)Peak memory usage: 90 MB
% 4.49/1.90  % (2321043)Instructions burned: 297 (million)
% 4.49/1.90  % (2321042)Instruction limit reached! 
% 4.49/1.90  % (2321042)------------------------------
% 4.49/1.90  % (2321042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321042)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321042)Termination reason: Instruction limit
% 4.49/1.90  % (2321042)Termination phase: Saturation
% 4.49/1.90  % (2321042)Time elapsed: 0.140 s
% 4.49/1.90  % (2321042)Peak memory usage: 91 MB
% 4.49/1.90  % (2321042)Instructions burned: 249 (million)
% 4.49/1.90  % (2321048)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4110768404:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.49/1.90  % (2321041)Instruction limit reached! 
% 4.49/1.90  % (2321041)------------------------------
% 4.49/1.90  % (2321041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321041)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321041)Termination reason: Instruction limit
% 4.49/1.90  % (2321041)Termination phase: Saturation
% 4.49/1.90  % (2321041)Time elapsed: 0.209 s
% 4.49/1.90  % (2321041)Peak memory usage: 91 MB
% 4.49/1.90  % (2321041)Instructions burned: 325 (million)
% 4.49/1.90  % (2321049)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2114061171:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 4.49/1.90  % (2321049)Instruction limit reached! 
% 4.49/1.90  % (2321049)------------------------------
% 4.49/1.90  % (2321049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321049)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321049)Termination reason: Instruction limit
% 4.49/1.90  % (2321049)Termination phase: Saturation
% 4.49/1.90  % (2321049)Time elapsed: 0.036 s
% 4.49/1.90  % (2321049)Peak memory usage: 90 MB
% 4.49/1.90  % (2321049)Instructions burned: 115 (million)
% 4.49/1.90  % (2321050)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3619010128:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.49/1.90  % (2321052)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3144308031:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 4.49/1.90  % (2321050)Instruction limit reached! 
% 4.49/1.90  % (2321050)------------------------------
% 4.49/1.90  % (2321050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321050)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321050)Termination reason: Instruction limit
% 4.49/1.90  % (2321050)Termination phase: Saturation
% 4.49/1.90  % (2321050)Time elapsed: 0.071 s
% 4.49/1.90  % (2321050)Peak memory usage: 89 MB
% 4.49/1.90  % (2321050)Instructions burned: 128 (million)
% 4.49/1.90  % (2321054)lrs+10_1_sil=8000:sp=occurrence:random_seed=2234795803:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 4.49/1.90  % (2321052)Instruction limit reached! 
% 4.49/1.90  % (2321052)------------------------------
% 4.49/1.90  % (2321052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321052)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321052)Termination reason: Instruction limit
% 4.49/1.90  % (2321052)Termination phase: Saturation
% 4.49/1.90  % (2321052)Time elapsed: 0.061 s
% 4.49/1.90  % (2321052)Peak memory usage: 89 MB
% 4.49/1.90  % (2321052)Instructions burned: 114 (million)
% 4.49/1.90  % (2321024)First to succeed.
% 4.49/1.90  % (2321024)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2321019"
% 4.49/1.90  % (2321057)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=504983422:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 4.49/1.90  % (2321059)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1791594744:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 4.49/1.90  % (2321025)Also succeeded, but the first one will report.
% 4.49/1.90  % (2321054)Instruction limit reached! 
% 4.49/1.90  % (2321054)------------------------------
% 4.49/1.90  % (2321054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.49/1.90  % (2321054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.49/1.90  % (2321054)CaDiCaL version: 2.1.3
% 4.49/1.90  % (2321054)Termination reason: Instruction limit
% 4.49/1.90  % (2321054)Termination phase: Saturation
% 4.49/1.90  % (2321054)Time elapsed: 0.317 s
% 4.49/1.90  % (2321054)Peak memory usage: 99 MB
% 4.49/1.90  % (2321054)Instructions burned: 910 (million)
% 4.49/1.90  % (2321024)Refutation found. Thanks to Tanya!
% 4.49/1.90  % SZS status Theorem for theBenchmark
% 4.49/1.90  % SZS output start Proof for theBenchmark
% See solution above
% 8.13/2.09  % (2321024)------------------------------
% 8.13/2.09  % (2321024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.09  % (2321024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.09  % (2321024)CaDiCaL version: 2.1.3
% 8.13/2.09  % (2321024)Termination reason: Refutation
% 8.13/2.09  % (2321024)Time elapsed: 0.662 s
% 8.13/2.09  % (2321024)Peak memory usage: 130 MB
% 8.13/2.09  % (2321024)Instructions burned: 994 (million)
% 8.13/2.09  % (2321024)------------------------------
% 8.13/2.09  % (2321024)------------------------------
% 8.13/2.09  % (2321019)Success in time 1.073 s
% 8.13/2.09  % Vampire exiting
%------------------------------------------------------------------------------