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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO615+1 : TPTP v9.3.1. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 09:53:04 AM UTC 2026

% Result   : Theorem 6.61s 1.93s
% Output   : Refutation 8.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   98 (  10 unt;   2 def)
%            Number of atoms       :  297 (   0 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  318 ( 119   ~; 113   |;  68   &)
%                                         (   2 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   25 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-8 aty)
%            Number of functors    :   12 (  12 usr;  12 con; 0-0 aty)
%            Number of variables   :  469 (   0 sgn 445   !;  24   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ruleD56) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
        & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
        & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
        & midpoint(X7,X1,X3)
        & perp(X1,X3,X7,X4)
        & perp(X0,X1,X1,X4)
        & circle(X4,X1,X8,X9)
        & coll(X5,X0,X2)
        & circle(X4,X1,X5,X10)
        & circle(X4,X5,X6,X11)
        & coll(X6,X5,X0) )
     => eqangle(X5,X3,X3,X2,X2,X3,X3,X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618077) ).

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

fof(f98,plain,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
        ( ( eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
          & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
          & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
          & perp(X1,X3,X7,X4)
          & perp(X0,X1,X1,X4)
          & circle(X4,X1,X8,X9)
          & coll(X5,X0,X2)
          & circle(X4,X1,X5,X10)
          & circle(X4,X5,X6,X11)
          & coll(X6,X5,X0) )
       => eqangle(X5,X3,X3,X2,X2,X3,X3,X6) ),
    inference(pure_predicate_removal,[],[f96]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

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(ennf_transformation,[],[f9]) ).

fof(f110,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f109]) ).

fof(f121,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(f122,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f121]) ).

fof(f124,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(f126,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(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(ennf_transformation,[],[f22]) ).

fof(f128,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,[],[f127]) ).

fof(f149,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(f150,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(f151,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

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(ennf_transformation,[],[f42]) ).

fof(f153,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,[],[f152]) ).

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(ennf_transformation,[],[f43]) ).

fof(f155,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,[],[f154]) ).

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

fof(f157,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,[],[f156]) ).

fof(f181,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(f182,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f181]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ eqangle(X5,X3,X3,X2,X2,X3,X3,X6)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & perp(X1,X3,X7,X4)
      & perp(X0,X1,X1,X4)
      & circle(X4,X1,X8,X9)
      & coll(X5,X0,X2)
      & circle(X4,X1,X5,X10)
      & circle(X4,X5,X6,X11)
      & coll(X6,X5,X0) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f251,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( ~ eqangle(X5,X3,X3,X2,X2,X3,X3,X6)
      & eqangle(X3,X0,X0,X1,X3,X0,X0,X2)
      & eqangle(X3,X1,X1,X2,X3,X1,X1,X0)
      & eqangle(X3,X2,X2,X0,X3,X2,X2,X1)
      & perp(X1,X3,X7,X4)
      & perp(X0,X1,X1,X4)
      & circle(X4,X1,X8,X9)
      & coll(X5,X0,X2)
      & circle(X4,X1,X5,X10)
      & circle(X4,X5,X6,X11)
      & coll(X6,X5,X0) ),
    inference(flattening,[],[f250]) ).

fof(f271,plain,
    ( ~ eqangle(sK25,sK23,sK23,sK22,sK22,sK23,sK23,sK26)
    & eqangle(sK23,sK20,sK20,sK21,sK23,sK20,sK20,sK22)
    & eqangle(sK23,sK21,sK21,sK22,sK23,sK21,sK21,sK20)
    & eqangle(sK23,sK22,sK22,sK20,sK23,sK22,sK22,sK21)
    & perp(sK21,sK23,sK27,sK24)
    & perp(sK20,sK21,sK21,sK24)
    & circle(sK24,sK21,sK28,sK29)
    & coll(sK25,sK20,sK22)
    & circle(sK24,sK21,sK25,sK30)
    & circle(sK24,sK25,sK26,sK31)
    & coll(sK26,sK25,sK20) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31]),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)],[f251]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f280,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,[],[f110]) ).

fof(f288,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f122]) ).

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

fof(f292,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,[],[f126]) ).

fof(f293,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,[],[f128]) ).

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,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(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) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f313,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,[],[f153]) ).

fof(f314,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,[],[f155]) ).

fof(f315,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,[],[f157]) ).

fof(f328,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f182]) ).

fof(f391,plain,
    perp(sK21,sK23,sK27,sK24),
    inference(cnf_transformation,[],[f271]) ).

fof(f395,plain,
    ~ eqangle(sK25,sK23,sK23,sK22,sK22,sK23,sK23,sK26),
    inference(cnf_transformation,[],[f271]) ).

fof(f397,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,[],[f293,f311]) ).

fof(f398,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ para(X6,X7,X4,X5)
      | eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
      | ~ para(X0,X1,X6,X7) ),
    inference(resolution,[],[f397,f311]) ).

fof(f405,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f290,f311]) ).

fof(f422,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f292,f311]) ).

fof(f432,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,[],[f312,f315]) ).

fof(f439,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,[],[f432]) ).

fof(f444,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | ~ para(X2,X3,X2,X3) ),
    inference(resolution,[],[f310,f405]) ).

fof(f447,definition,
    ( spl32_1
  <=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl32_1])],[avatar_definition]) ).

fof(f448,plain,
    ( ! [X2,X3] : ~ para(X2,X3,X2,X3)
    | ~ spl32_1 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f450,definition,
    ( spl32_2
  <=> ! [X0,X1] : para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl32_2])],[avatar_definition]) ).

fof(f451,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl32_2 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f452,plain,
    ( spl32_1
    | spl32_2 ),
    inference(avatar_split_clause,[],[f444,f450,f447]) ).

fof(f457,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f313,f422]) ).

fof(f461,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | coll(X1,X2,X0) )
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f457,f451]) ).

fof(f467,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | ~ coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f314,f422]) ).

fof(f471,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | ~ para(X1,X0,X1,X0) )
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f467,f461]) ).

fof(f474,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f471,f451]) ).

fof(f475,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl32_2 ),
    inference(resolution,[],[f474,f288]) ).

fof(f481,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f475,f474]) ).

fof(f484,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | ~ cyclic(X0,X1,X2,X1)
        | cong(X0,X1,X0,X1) )
    | ~ spl32_2 ),
    inference(resolution,[],[f481,f439]) ).

fof(f487,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | cong(X0,X1,X0,X1) )
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f484,f481]) ).

fof(f489,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f487,f481]) ).

fof(f490,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl32_2 ),
    inference(resolution,[],[f489,f328]) ).

fof(f491,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f490,f489]) ).

fof(f512,plain,
    perp(sK27,sK24,sK21,sK23),
    inference(resolution,[],[f279,f391]) ).

fof(f513,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl32_2 ),
    inference(resolution,[],[f279,f491]) ).

fof(f525,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK21,sK23)
      | para(X0,X1,sK27,sK24) ),
    inference(resolution,[],[f280,f391]) ).

fof(f527,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl32_2 ),
    inference(resolution,[],[f280,f491]) ).

fof(f530,plain,
    ( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f527,f513]) ).

fof(f531,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
        | ~ para(X0,X1,X6,X7) )
    | ~ spl32_2 ),
    inference(resolution,[],[f530,f398]) ).

fof(f533,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f531,f530]) ).

fof(f537,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
    | ~ spl32_2 ),
    inference(resolution,[],[f533,f292]) ).

fof(f556,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
        ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
        | ~ para(X6,X7,X4,X5) )
    | ~ spl32_2 ),
    inference(resolution,[],[f537,f397]) ).

fof(f560,plain,
    ( ! [X2,X3,X0,X1,X6,X7,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
    | ~ spl32_2 ),
    inference(forward_subsumption_resolution,[],[f556,f530]) ).

fof(f573,plain,
    ( $false
    | ~ spl32_2 ),
    inference(resolution,[],[f560,f395]) ).

fof(f574,plain,
    ~ spl32_2,
    inference(avatar_contradiction_clause,[],[f573]) ).

fof(f578,plain,
    para(sK27,sK24,sK27,sK24),
    inference(resolution,[],[f525,f512]) ).

fof(f579,plain,
    ( $false
    | ~ spl32_1 ),
    inference(forward_subsumption_resolution,[],[f578,f448]) ).

fof(f580,plain,
    ~ spl32_1,
    inference(avatar_contradiction_clause,[],[f579]) ).

cnf(s1,plain,
    ( spl32_1
    | spl32_2 ),
    inference(sat_conversion,[],[f452]) ).

cnf(s2,plain,
    ~ spl32_2,
    inference(sat_conversion,[],[f574]) ).

cnf(s3,plain,
    ~ spl32_1,
    inference(sat_conversion,[],[f580]) ).

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

fof(f581,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : GEO615+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37  % Computer : n005.cluster.edu
% 0.11/0.37  % Model    : x86_64 x86_64
% 0.11/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37  % Memory   : 8046.5625MB
% 0.11/0.37  % OS       : Linux 6.8.0-71-generic
% 0.11/0.37  % CPULimit : 300
% 0.11/0.37  % WCLimit  : 300
% 0.11/0.37  % DateTime : Sun Sep 27 08:38:32 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/1.93  % (3682553)Detected formulas, will run a generic FOF schedule.
% 6.61/1.93  % (3682564)dis-21_1_sil=8000:lcm=predicate:random_seed=1779742441: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)
% 6.61/1.93  % (3682559)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=4124446430:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.61/1.93  % (3682558)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=3490750403:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.61/1.93  % (3682560)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=172740648:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.61/1.93  % (3682561)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1465472823:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.61/1.93  % (3682562)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=137906449:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.61/1.93  % (3682563)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3674885131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.61/1.93  % (3682564)Instruction limit reached! 
% 6.61/1.93  % (3682564)------------------------------
% 6.61/1.93  % (3682564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682564)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682564)Termination reason: Instruction limit
% 6.61/1.93  % (3682564)Termination phase: Saturation
% 6.61/1.93  % (3682564)Time elapsed: 0.041 s
% 6.61/1.93  % (3682564)Peak memory usage: 89 MB
% 6.61/1.93  % (3682564)Instructions burned: 130 (million)
% 6.61/1.93  % (3682563)Instruction limit reached! 
% 6.61/1.93  % (3682563)------------------------------
% 6.61/1.93  % (3682563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682563)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682563)Termination reason: Instruction limit
% 6.61/1.93  % (3682563)Termination phase: Saturation
% 6.61/1.93  % (3682563)Time elapsed: 0.050 s
% 6.61/1.93  % (3682563)Peak memory usage: 89 MB
% 6.61/1.93  % (3682563)Instructions burned: 139 (million)
% 6.61/1.93  % (3682561)Instruction limit reached! 
% 6.61/1.93  % (3682561)------------------------------
% 6.61/1.93  % (3682561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682561)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682561)Termination reason: Instruction limit
% 6.61/1.93  % (3682561)Termination phase: Saturation
% 6.61/1.93  % (3682561)Time elapsed: 0.064 s
% 6.61/1.93  % (3682561)Peak memory usage: 89 MB
% 6.61/1.93  % (3682561)Instructions burned: 109 (million)
% 6.61/1.93  % (3682562)Instruction limit reached! 
% 6.61/1.93  % (3682562)------------------------------
% 6.61/1.93  % (3682562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682562)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682562)Termination reason: Instruction limit
% 6.61/1.93  % (3682562)Termination phase: Saturation
% 6.61/1.93  % (3682562)Time elapsed: 0.069 s
% 6.61/1.93  % (3682562)Peak memory usage: 88 MB
% 6.61/1.93  % (3682562)Instructions burned: 121 (million)
% 6.61/1.93  % (3682572)lrs+10_1_sil=8000:sp=occurrence:random_seed=2881526764:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.61/1.93  % (3682573)lrs+10_1_sil=32000:urr=on:br=off:random_seed=175626124:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.61/1.93  % (3682573)Instruction limit reached! 
% 6.61/1.93  % (3682573)------------------------------
% 6.61/1.93  % (3682573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682573)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682573)Termination reason: Instruction limit
% 6.61/1.93  % (3682573)Termination phase: Saturation
% 6.61/1.93  % (3682573)Time elapsed: 0.047 s
% 6.61/1.93  % (3682573)Peak memory usage: 89 MB
% 6.61/1.93  % (3682573)Instructions burned: 159 (million)
% 6.61/1.93  % (3682574)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1053026333:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.61/1.93  % (3682575)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=4169210560:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.61/1.93  % (3682578)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=621994125:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 6.61/1.93  % (3682572)Instruction limit reached! 
% 6.61/1.93  % (3682572)------------------------------
% 6.61/1.93  % (3682572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682572)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682572)Termination reason: Instruction limit
% 6.61/1.93  % (3682572)Termination phase: Saturation
% 6.61/1.93  % (3682572)Time elapsed: 0.184 s
% 6.61/1.93  % (3682572)Peak memory usage: 93 MB
% 6.61/1.93  % (3682572)Instructions burned: 285 (million)
% 6.61/1.93  % (3682575)Instruction limit reached! 
% 6.61/1.93  % (3682575)------------------------------
% 6.61/1.93  % (3682575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682575)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682575)Termination reason: Instruction limit
% 6.61/1.93  % (3682575)Termination phase: Saturation
% 6.61/1.93  % (3682575)Time elapsed: 0.142 s
% 6.61/1.93  % (3682575)Peak memory usage: 90 MB
% 6.61/1.93  % (3682575)Instructions burned: 249 (million)
% 6.61/1.93  % (3682578)Instruction limit reached! 
% 6.61/1.93  % (3682578)------------------------------
% 6.61/1.93  % (3682578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682578)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682578)Termination reason: Instruction limit
% 6.61/1.93  % (3682578)Termination phase: Saturation
% 6.61/1.93  % (3682578)Time elapsed: 0.089 s
% 6.61/1.93  % (3682578)Peak memory usage: 89 MB
% 6.61/1.93  % (3682578)Instructions burned: 294 (million)
% 6.61/1.93  % (3682574)Instruction limit reached! 
% 6.61/1.93  % (3682574)------------------------------
% 6.61/1.93  % (3682574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682574)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682574)Termination reason: Instruction limit
% 6.61/1.93  % (3682574)Termination phase: Saturation
% 6.61/1.93  % (3682574)Time elapsed: 0.197 s
% 6.61/1.93  % (3682574)Peak memory usage: 92 MB
% 6.61/1.93  % (3682574)Instructions burned: 326 (million)
% 6.61/1.93  % (3682582)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3975775137:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.61/1.93  % (3682584)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2013649253:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.61/1.93  % (3682584)Instruction limit reached! 
% 6.61/1.93  % (3682584)------------------------------
% 6.61/1.93  % (3682584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682584)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682584)Termination reason: Instruction limit
% 6.61/1.93  % (3682584)Termination phase: Saturation
% 6.61/1.93  % (3682584)Time elapsed: 0.037 s
% 6.61/1.93  % (3682584)Peak memory usage: 89 MB
% 6.61/1.93  % (3682584)Instructions burned: 127 (million)
% 6.61/1.93  % (3682583)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1936484059:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.61/1.93  % (3682585)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3561246008:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 6.61/1.93  % (3682583)Instruction limit reached! 
% 6.61/1.93  % (3682583)------------------------------
% 6.61/1.93  % (3682583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682583)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682583)Termination reason: Instruction limit
% 6.61/1.93  % (3682583)Termination phase: Saturation
% 6.61/1.93  % (3682583)Time elapsed: 0.067 s
% 6.61/1.93  % (3682583)Peak memory usage: 90 MB
% 6.61/1.93  % (3682583)Instructions burned: 114 (million)
% 6.61/1.93  % (3682588)lrs+10_1_sil=8000:sp=occurrence:random_seed=1778523381:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 6.61/1.93  % (3682585)Instruction limit reached! 
% 6.61/1.93  % (3682585)------------------------------
% 6.61/1.93  % (3682585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682585)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682585)Termination reason: Instruction limit
% 6.61/1.93  % (3682585)Termination phase: Saturation
% 6.61/1.93  % (3682585)Time elapsed: 0.063 s
% 6.61/1.93  % (3682585)Peak memory usage: 89 MB
% 6.61/1.93  % (3682585)Instructions burned: 114 (million)
% 6.61/1.93  % (3682558)First to succeed.
% 6.61/1.93  % (3682558)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3682553"
% 6.61/1.93  % (3682591)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3739851051:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 6.61/1.93  % (3682559)Also succeeded, but the first one will report.
% 6.61/1.93  % (3682593)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1538732131:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 6.61/1.93  % (3682588)Instruction limit reached! 
% 6.61/1.93  % (3682588)------------------------------
% 6.61/1.93  % (3682588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.93  % (3682588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.93  % (3682588)CaDiCaL version: 2.1.3
% 6.61/1.93  % (3682588)Termination reason: Instruction limit
% 6.61/1.93  % (3682588)Termination phase: Saturation
% 6.61/1.93  % (3682588)Time elapsed: 0.320 s
% 6.61/1.93  % (3682588)Peak memory usage: 99 MB
% 6.61/1.93  % (3682588)Instructions burned: 909 (million)
% 6.61/1.93  % (3682558)Refutation found. Thanks to Tanya!
% 6.61/1.93  % SZS status Theorem for theBenchmark
% 6.61/1.93  % SZS output start Proof for theBenchmark
% See solution above
% 8.13/2.13  % (3682558)------------------------------
% 8.13/2.13  % (3682558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.13/2.13  % (3682558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.13/2.13  % (3682558)CaDiCaL version: 2.1.3
% 8.13/2.13  % (3682558)Termination reason: Refutation
% 8.13/2.13  % (3682558)Time elapsed: 0.668 s
% 8.13/2.13  % (3682558)Peak memory usage: 130 MB
% 8.13/2.13  % (3682558)Instructions burned: 994 (million)
% 8.13/2.13  % (3682558)------------------------------
% 8.13/2.13  % (3682558)------------------------------
% 8.13/2.13  % (3682553)Success in time 1.081 s
% 8.13/2.13  % Vampire exiting
%------------------------------------------------------------------------------