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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO639+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 : n006.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 09:53:08 AM UTC 2026

% Result   : Theorem 5.74s 1.77s
% Output   : Refutation 6.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  113 (  13 unt;   2 def)
%            Number of atoms       :  333 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :  331 ( 111   ~; 123   |;  77   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   33 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   3 prp; 0-8 aty)
%            Number of functors    :   16 (  16 usr;  16 con; 0-0 aty)
%            Number of variables   :  542 (   0 sgn 510   !;  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(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD14) ).

fof(f15,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X2,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD15) ).

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(f18,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD18) ).

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] :
      ( ( ( cong(X2,X0,X0,X1)
          | cong(X2,X0,X2,X1) )
        & perp(X0,X2,X0,X3)
        & perp(X1,X2,X1,X3)
        & circle(X3,X0,X9,X10)
        & coll(X4,X2,X3)
        & circle(X3,X0,X4,X11)
        & midp(X5,X4,X2)
        & circle(X5,X4,X12,X13)
        & coll(X6,X0,X2)
        & circle(X5,X4,X6,X14)
        & coll(X7,X1,X2)
        & circle(X5,X4,X7,X15)
        & coll(X8,X0,X1)
        & coll(X8,X2,X3) )
     => eqangle(X2,X6,X6,X8,X8,X6,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL81109105) ).

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

fof(f98,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & ( cong(X2,X0,X0,X1)
        | cong(X2,X0,X2,X1) )
      & perp(X0,X2,X0,X3)
      & perp(X1,X2,X1,X3)
      & circle(X3,X0,X9,X10)
      & coll(X4,X2,X3)
      & circle(X3,X0,X4,X11)
      & midp(X5,X4,X2)
      & circle(X5,X4,X12,X13)
      & coll(X6,X0,X2)
      & circle(X5,X4,X6,X14)
      & coll(X7,X1,X2)
      & circle(X5,X4,X7,X15)
      & coll(X8,X0,X1)
      & coll(X8,X2,X3) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15] :
      ( ~ eqangle(X2,X6,X6,X8,X8,X6,X6,X7)
      & ( cong(X2,X0,X0,X1)
        | cong(X2,X0,X2,X1) )
      & perp(X0,X2,X0,X3)
      & perp(X1,X2,X1,X3)
      & circle(X3,X0,X9,X10)
      & coll(X4,X2,X3)
      & circle(X3,X0,X4,X11)
      & midp(X5,X4,X2)
      & circle(X5,X4,X12,X13)
      & coll(X6,X0,X2)
      & circle(X5,X4,X6,X14)
      & coll(X7,X1,X2)
      & circle(X5,X4,X7,X15)
      & coll(X8,X0,X1)
      & coll(X8,X2,X3) ),
    inference(flattening,[],[f98]) ).

fof(f114,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f147,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(f148,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f147]) ).

fof(f173,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(f174,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,[],[f173]) ).

fof(f175,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(f177,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(f178,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X1,X0,X2,X3,X4,X5,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f190,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(f191,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(f194,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(f195,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f194]) ).

fof(f206,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(f207,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,[],[f206]) ).

fof(f208,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(f209,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,[],[f208]) ).

fof(f210,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(f211,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,[],[f210]) ).

fof(f212,plain,
    ! [X0,X1,X2,X3] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f213,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(f214,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f213]) ).

fof(f216,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f217,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f220,plain,
    ( ~ eqangle(sK2,sK6,sK6,sK8,sK8,sK6,sK6,sK7)
    & ( cong(sK2,sK0,sK0,sK1)
      | cong(sK2,sK0,sK2,sK1) )
    & perp(sK0,sK2,sK0,sK3)
    & perp(sK1,sK2,sK1,sK3)
    & circle(sK3,sK0,sK9,sK10)
    & coll(sK4,sK2,sK3)
    & circle(sK3,sK0,sK4,sK11)
    & midp(sK5,sK4,sK2)
    & circle(sK5,sK4,sK12,sK13)
    & coll(sK6,sK0,sK2)
    & circle(sK5,sK4,sK6,sK14)
    & coll(sK7,sK1,sK2)
    & circle(sK5,sK4,sK7,sK15)
    & coll(sK8,sK0,sK1)
    & coll(sK8,sK2,sK3) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5),skolemize(X6,sK6),skolemize(X7,sK7),skolemize(X8,sK8),skolemize(X9,sK9),skolemize(X10,sK10),skolemize(X11,sK11),skolemize(X12,sK12),skolemize(X13,sK13),skolemize(X14,sK14),skolemize(X15,sK15)],[f99]) ).

fof(f251,plain,
    perp(sK0,sK2,sK0,sK3),
    inference(cnf_transformation,[],[f220]) ).

fof(f253,plain,
    ~ eqangle(sK2,sK6,sK6,sK8,sK8,sK6,sK6,sK7),
    inference(cnf_transformation,[],[f220]) ).

fof(f268,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f308,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,[],[f174]) ).

fof(f309,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,[],[f175]) ).

fof(f311,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,[],[f177]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X1,X0,X2,X3,X4,X5,X6,X7) ),
    inference(cnf_transformation,[],[f178]) ).

fof(f322,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f190]) ).

fof(f323,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f191]) ).

fof(f325,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,[],[f195]) ).

fof(f333,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ cyclic(X0,X1,X2,X5)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | cong(X0,X1,X3,X4)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f334,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,[],[f209]) ).

fof(f335,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,[],[f211]) ).

fof(f336,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f337,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f214]) ).

fof(f339,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f216]) ).

fof(f340,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f217]) ).

fof(f350,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK0,sK2)
      | para(X0,X1,sK0,sK3) ),
    inference(resolution,[],[f251,f325]) ).

fof(f354,plain,
    perp(sK0,sK3,sK0,sK2),
    inference(resolution,[],[f268,f251]) ).

fof(f358,plain,
    para(sK0,sK3,sK0,sK3),
    inference(resolution,[],[f354,f350]) ).

fof(f362,plain,
    ! [X0,X1] : eqangle(sK0,sK3,X0,X1,sK0,sK3,X0,X1),
    inference(resolution,[],[f358,f322]) ).

fof(f364,plain,
    ! [X0,X1] : eqangle(X0,X1,sK0,sK3,X0,X1,sK0,sK3),
    inference(resolution,[],[f362,f311]) ).

fof(f563,plain,
    ! [X0,X1] : para(X0,X1,X0,X1),
    inference(resolution,[],[f364,f323]) ).

fof(f570,plain,
    ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3),
    inference(resolution,[],[f563,f322]) ).

fof(f578,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X1,X2,X2)
      | coll(X2,X2,X0) ),
    inference(resolution,[],[f570,f335]) ).

fof(f590,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X0,X2,X0)
      | coll(X0,X0,X1) ),
    inference(resolution,[],[f578,f339]) ).

fof(f614,plain,
    ! [X2,X0,X1] :
      ( cyclic(X1,X0,X0,X2)
      | coll(X0,X0,X1) ),
    inference(resolution,[],[f590,f340]) ).

fof(f626,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X0,X0,X1)
      | ~ cyclic(X1,X0,X0,X2)
      | cyclic(X0,X0,X2,X3) ),
    inference(resolution,[],[f614,f337]) ).

fof(f630,plain,
    ! [X2,X3,X0,X1] :
      ( coll(X0,X0,X1)
      | cyclic(X0,X0,X2,X3) ),
    inference(forward_subsumption_resolution,[],[f626,f614]) ).

fof(f638,plain,
    ! [X2,X3,X0,X1,X4] :
      ( coll(X0,X0,X1)
      | ~ cyclic(X0,X0,X2,X3)
      | cyclic(X0,X2,X3,X4) ),
    inference(resolution,[],[f630,f337]) ).

fof(f642,plain,
    ! [X2,X3,X0,X1,X4] :
      ( coll(X0,X0,X1)
      | cyclic(X0,X2,X3,X4) ),
    inference(forward_subsumption_resolution,[],[f638,f630]) ).

fof(f646,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X0,X4,X0,X5,X0,X4,X0,X5)
      | cyclic(X4,X5,X0,X0) ),
    inference(resolution,[],[f642,f334]) ).

fof(f668,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( cyclic(X0,X1,X2,X3)
      | cyclic(X4,X5,X0,X0) ),
    inference(forward_subsumption_resolution,[],[f646,f570]) ).

fof(f670,definition,
    ( spl34_13
  <=> ! [X4,X5,X2,X3] : cyclic(X2,X3,X4,X5) ),
    introduced(definition,[new_symbols(definition,[spl34_13])],[avatar_definition]) ).

fof(f671,plain,
    ( ! [X2,X3,X4,X5] : cyclic(X2,X3,X4,X5)
    | ~ spl34_13 ),
    inference(avatar_component_clause,[],[f670]) ).

fof(f680,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | ~ cyclic(X0,X1,X2,X4)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl34_13 ),
    inference(resolution,[],[f671,f333]) ).

fof(f682,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ spl34_13 ),
    inference(resolution,[],[f671,f336]) ).

fof(f685,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ cyclic(X0,X1,X2,X3)
        | cong(X0,X1,X3,X4)
        | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) )
    | ~ spl34_13 ),
    inference(forward_subsumption_resolution,[],[f680,f671]) ).

fof(f686,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl34_13 ),
    inference(forward_subsumption_resolution,[],[f685,f671]) ).

fof(f687,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X1,X2,X3,X0,X3,X2)
    | ~ spl34_13 ),
    inference(resolution,[],[f682,f312]) ).

fof(f724,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | ~ cyclic(X2,X3,X4,X5)
      | cyclic(X3,X4,X5,X6) ),
    inference(resolution,[],[f668,f337]) ).

fof(f737,plain,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( cyclic(X0,X1,X2,X2)
      | cyclic(X3,X4,X5,X6) ),
    inference(forward_subsumption_resolution,[],[f724,f668]) ).

fof(f776,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl34_13 ),
    inference(resolution,[],[f686,f687]) ).

fof(f777,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl34_13 ),
    inference(resolution,[],[f776,f293]) ).

fof(f784,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl34_13 ),
    inference(forward_subsumption_resolution,[],[f777,f776]) ).

fof(f786,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl34_13 ),
    inference(resolution,[],[f784,f268]) ).

fof(f787,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl34_13 ),
    inference(resolution,[],[f784,f325]) ).

fof(f816,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
    | ~ spl34_13 ),
    inference(resolution,[],[f787,f786]) ).

fof(f821,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X2,X3)
    | ~ spl34_13 ),
    inference(resolution,[],[f816,f322]) ).

fof(f893,plain,
    ( ! [X2,X3,X0,X1,X4,X5] : eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
    | ~ spl34_13 ),
    inference(resolution,[],[f821,f309]) ).

fof(f899,plain,
    ( $false
    | ~ spl34_13 ),
    inference(unit_resulting_resolution,[],[f308,f253,f821,f893]) ).

fof(f909,plain,
    ~ spl34_13,
    inference(avatar_contradiction_clause,[],[f899]) ).

fof(f917,definition,
    ( spl34_16
  <=> ! [X2,X0,X1] : cyclic(X0,X1,X2,X2) ),
    introduced(definition,[new_symbols(definition,[spl34_16])],[avatar_definition]) ).

fof(f918,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X2,X2)
    | ~ spl34_16 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f919,plain,
    ( spl34_13
    | spl34_16 ),
    inference(avatar_split_clause,[],[f737,f917,f670]) ).

fof(f921,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X2,X1)
    | ~ spl34_16 ),
    inference(resolution,[],[f918,f339]) ).

fof(f936,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X1,X1,X2)
    | ~ spl34_16 ),
    inference(resolution,[],[f921,f340]) ).

fof(f948,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X1,X1,X2)
        | cyclic(X1,X1,X2,X3) )
    | ~ spl34_16 ),
    inference(resolution,[],[f936,f337]) ).

fof(f952,plain,
    ( ! [X2,X3,X1] : cyclic(X1,X1,X2,X3)
    | ~ spl34_16 ),
    inference(forward_subsumption_resolution,[],[f948,f936]) ).

fof(f959,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl34_16 ),
    inference(resolution,[],[f952,f337]) ).

fof(f963,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl34_16 ),
    inference(forward_subsumption_resolution,[],[f959,f952]) ).

fof(f965,plain,
    ( spl34_13
    | ~ spl34_16 ),
    inference(avatar_split_clause,[],[f963,f917,f670]) ).

cnf(s10,plain,
    ~ spl34_13,
    inference(sat_conversion,[],[f909]) ).

cnf(s13,plain,
    ( spl34_13
    | spl34_16 ),
    inference(sat_conversion,[],[f919]) ).

cnf(s14,plain,
    ( spl34_13
    | ~ spl34_16 ),
    inference(sat_conversion,[],[f965]) ).

cnf(s15,plain,
    ~ spl34_16,
    inference(rat,[],[s14,s10]) ).

cnf(s16,plain,
    $false,
    inference(rat,[],[s13,s15,s10]) ).

fof(f967,plain,
    $false,
    inference(avatar_sat_refutation,[],[s16]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO639+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38  % Computer : n006.cluster.edu
% 0.09/0.38  % Model    : x86_64 x86_64
% 0.09/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38  % Memory   : 8046.5625MB
% 0.09/0.38  % OS       : Linux 6.8.0-71-generic
% 0.09/0.38  % CPULimit : 300
% 0.09/0.38  % WCLimit  : 300
% 0.09/0.38  % DateTime : Sun Sep 27 08:41:41 UTC 2026
% 0.09/0.38  % CPUTime  : 
% 0.09/0.38  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.42  Running first-order theorem proving
% 0.09/0.42  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
% 5.74/1.77  % (2691659)Detected formulas, will run a generic FOF schedule.
% 5.74/1.77  % (2691665)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=2191667084:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.74/1.77  % (2691666)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=98941880:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.74/1.77  % (2691669)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2307507920:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.74/1.77  % (2691668)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=644294094:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.74/1.77  % (2691664)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=2472361462:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.74/1.77  % (2691667)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1049847389:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.74/1.77  % (2691670)dis-21_1_sil=8000:lcm=predicate:random_seed=2794248132: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)
% 5.74/1.77  % (2691667)Instruction limit reached! 
% 5.74/1.77  % (2691667)------------------------------
% 5.74/1.77  % (2691667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691668)Instruction limit reached! 
% 5.74/1.77  % (2691668)------------------------------
% 5.74/1.77  % (2691668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691668)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691668)Termination reason: Instruction limit
% 5.74/1.77  % (2691668)Termination phase: Saturation
% 5.74/1.77  % (2691668)Time elapsed: 0.068 s
% 5.74/1.77  % (2691668)Peak memory usage: 88 MB
% 5.74/1.77  % (2691668)Instructions burned: 119 (million)
% 5.74/1.77  % (2691667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691667)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691667)Termination reason: Instruction limit
% 5.74/1.77  % (2691667)Termination phase: Saturation
% 5.74/1.77  % (2691667)Time elapsed: 0.068 s
% 5.74/1.77  % (2691667)Peak memory usage: 90 MB
% 5.74/1.77  % (2691667)Instructions burned: 110 (million)
% 5.74/1.77  % (2691670)Instruction limit reached! 
% 5.74/1.77  % (2691670)------------------------------
% 5.74/1.77  % (2691670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691670)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691670)Termination reason: Instruction limit
% 5.74/1.77  % (2691670)Termination phase: Saturation
% 5.74/1.77  % (2691670)Time elapsed: 0.074 s
% 5.74/1.77  % (2691670)Peak memory usage: 89 MB
% 5.74/1.77  % (2691670)Instructions burned: 131 (million)
% 5.74/1.77  % (2691669)Instruction limit reached! 
% 5.74/1.77  % (2691669)------------------------------
% 5.74/1.77  % (2691669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691669)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691669)Termination reason: Instruction limit
% 5.74/1.77  % (2691669)Termination phase: Saturation
% 5.74/1.77  % (2691669)Time elapsed: 0.082 s
% 5.74/1.77  % (2691669)Peak memory usage: 89 MB
% 5.74/1.77  % (2691669)Instructions burned: 140 (million)
% 5.74/1.77  % (2691678)lrs+10_1_sil=8000:sp=occurrence:random_seed=3350892373:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.74/1.77  % (2691679)lrs+10_1_sil=32000:urr=on:br=off:random_seed=369077944:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.74/1.77  % (2691681)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=1027667650:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.74/1.77  % (2691680)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2055420780:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.74/1.77  % (2691679)Instruction limit reached! 
% 5.74/1.77  % (2691679)------------------------------
% 5.74/1.77  % (2691679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691679)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691679)Termination reason: Instruction limit
% 5.74/1.77  % (2691679)Termination phase: Saturation
% 5.74/1.77  % (2691679)Time elapsed: 0.084 s
% 5.74/1.77  % (2691679)Peak memory usage: 90 MB
% 5.74/1.77  % (2691679)Instructions burned: 157 (million)
% 5.74/1.77  % (2691681)Instruction limit reached! 
% 5.74/1.77  % (2691681)------------------------------
% 5.74/1.77  % (2691681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691681)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691681)Termination reason: Instruction limit
% 5.74/1.77  % (2691681)Termination phase: Saturation
% 5.74/1.77  % (2691681)Time elapsed: 0.136 s
% 5.74/1.77  % (2691681)Peak memory usage: 91 MB
% 5.74/1.77  % (2691681)Instructions burned: 250 (million)
% 5.74/1.77  % (2691678)Instruction limit reached! 
% 5.74/1.77  % (2691678)------------------------------
% 5.74/1.77  % (2691678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691678)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691678)Termination reason: Instruction limit
% 5.74/1.77  % (2691678)Termination phase: Saturation
% 5.74/1.77  % (2691678)Time elapsed: 0.183 s
% 5.74/1.77  % (2691678)Peak memory usage: 92 MB
% 5.74/1.77  % (2691678)Instructions burned: 285 (million)
% 5.74/1.77  % (2691680)Instruction limit reached! 
% 5.74/1.77  % (2691680)------------------------------
% 5.74/1.77  % (2691680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691680)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691680)Termination reason: Instruction limit
% 5.74/1.77  % (2691680)Termination phase: Saturation
% 5.74/1.77  % (2691680)Time elapsed: 0.194 s
% 5.74/1.77  % (2691680)Peak memory usage: 91 MB
% 5.74/1.77  % (2691680)Instructions burned: 325 (million)
% 5.74/1.77  % (2691686)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2197072026:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.74/1.77  % (2691665)First to succeed.
% 5.74/1.77  % (2691665)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2691659"
% 5.74/1.77  % (2691687)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1871612383:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 5.74/1.77  % (2691688)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1398922584:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.74/1.77  % (2691689)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3014514148:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 5.74/1.77  % (2691688)Instruction limit reached! 
% 5.74/1.77  % (2691688)------------------------------
% 5.74/1.77  % (2691688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691688)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691688)Termination reason: Instruction limit
% 5.74/1.77  % (2691688)Termination phase: Saturation
% 5.74/1.77  % (2691688)Time elapsed: 0.066 s
% 5.74/1.77  % (2691688)Peak memory usage: 90 MB
% 5.74/1.77  % (2691688)Instructions burned: 114 (million)
% 5.74/1.77  % (2691686)Instruction limit reached! 
% 5.74/1.77  % (2691686)------------------------------
% 5.74/1.77  % (2691686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691686)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691686)Termination reason: Instruction limit
% 5.74/1.77  % (2691686)Termination phase: Saturation
% 5.74/1.77  % (2691686)Time elapsed: 0.170 s
% 5.74/1.77  % (2691686)Peak memory usage: 89 MB
% 5.74/1.77  % (2691686)Instructions burned: 295 (million)
% 5.74/1.77  % (2691664)Also succeeded, but the first one will report.
% 5.74/1.77  % (2691689)Instruction limit reached! 
% 5.74/1.77  % (2691689)------------------------------
% 5.74/1.77  % (2691689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.74/1.77  % (2691689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.74/1.77  % (2691689)CaDiCaL version: 2.1.3
% 5.74/1.77  % (2691689)Termination reason: Instruction limit
% 5.74/1.77  % (2691689)Termination phase: Saturation
% 5.74/1.77  % (2691689)Time elapsed: 0.071 s
% 5.74/1.77  % (2691689)Peak memory usage: 89 MB
% 5.74/1.77  % (2691689)Instructions burned: 128 (million)
% 5.74/1.77  % (2691665)Refutation found. Thanks to Tanya!
% 5.74/1.77  % SZS status Theorem for theBenchmark
% 5.74/1.77  % SZS output start Proof for theBenchmark
% See solution above
% 6.96/1.96  % (2691665)------------------------------
% 6.96/1.96  % (2691665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.96/1.96  % (2691665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.96/1.96  % (2691665)CaDiCaL version: 2.1.3
% 6.96/1.96  % (2691665)Termination reason: Refutation
% 6.96/1.96  % (2691665)Time elapsed: 0.521 s
% 6.96/1.96  % (2691665)Peak memory usage: 130 MB
% 6.96/1.96  % (2691665)Instructions burned: 1088 (million)
% 6.96/1.96  % (2691665)------------------------------
% 6.96/1.96  % (2691665)------------------------------
% 6.96/1.96  % (2691659)Success in time 0.909 s
% 6.96/1.96  % Vampire exiting
%------------------------------------------------------------------------------