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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO606+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 : n001.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 09:53:03 AM UTC 2026

% Result   : Theorem 4.34s 1.80s
% Output   : Refutation 4.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   19
% Syntax   : Number of formulae    :  115 (  11 unt;   2 def)
%            Number of atoms       :  334 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :  352 ( 133   ~; 130   |;  69   &)
%                                         (   2 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :   18 (  18 usr;  18 con; 0-0 aty)
%            Number of variables   :  450 (   0 sgn 414   !;  36   ?)

% 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(f10,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( para(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => perp(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD10) ).

fof(f14,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X0,X1,X3,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD14) ).

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

fof(f16,axiom,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
     => cyclic(X1,X0,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD16) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/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(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(f58,axiom,
    ! [X0,X1,X2,X3] :
      ( ( cong(X0,X2,X1,X2)
        & cong(X0,X3,X1,X3)
        & cyclic(X0,X1,X2,X3) )
     => perp(X2,X0,X0,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ruleD57) ).

fof(f95,conjecture,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ( perp(X2,X0,X2,X1)
        & circle(X0,X2,X8,X9)
        & circle(X1,X2,X10,X11)
        & circle(X0,X2,X3,X12)
        & circle(X0,X3,X4,X13)
        & coll(X4,X3,X0)
        & circle(X0,X2,X5,X14)
        & circle(X1,X2,X5,X15)
        & coll(X6,X3,X5)
        & circle(X1,X2,X6,X16)
        & circle(X1,X6,X7,X17)
        & coll(X7,X6,X1) )
     => perp(X7,X6,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618068) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
        ( ( perp(X2,X0,X2,X1)
          & circle(X0,X2,X8,X9)
          & circle(X1,X2,X10,X11)
          & circle(X0,X2,X3,X12)
          & circle(X0,X3,X4,X13)
          & coll(X4,X3,X0)
          & circle(X0,X2,X5,X14)
          & circle(X1,X2,X5,X15)
          & coll(X6,X3,X5)
          & circle(X1,X2,X6,X16)
          & circle(X1,X6,X7,X17)
          & coll(X7,X6,X1) )
       => perp(X7,X6,X3,X4) ),
    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,X16,X17] :
      ( ~ perp(X7,X6,X3,X4)
      & perp(X2,X0,X2,X1)
      & circle(X0,X2,X8,X9)
      & circle(X1,X2,X10,X11)
      & circle(X0,X2,X3,X12)
      & circle(X0,X3,X4,X13)
      & coll(X4,X3,X0)
      & circle(X0,X2,X5,X14)
      & circle(X1,X2,X5,X15)
      & coll(X6,X3,X5)
      & circle(X1,X2,X6,X16)
      & circle(X1,X6,X7,X17)
      & coll(X7,X6,X1) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f99,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17] :
      ( ~ perp(X7,X6,X3,X4)
      & perp(X2,X0,X2,X1)
      & circle(X0,X2,X8,X9)
      & circle(X1,X2,X10,X11)
      & circle(X0,X2,X3,X12)
      & circle(X0,X3,X4,X13)
      & coll(X4,X3,X0)
      & circle(X0,X2,X5,X14)
      & circle(X1,X2,X5,X15)
      & coll(X6,X3,X5)
      & circle(X1,X2,X6,X16)
      & circle(X1,X6,X7,X17)
      & coll(X7,X6,X1) ),
    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(f137,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(f141,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f142,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X0,X0,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(flattening,[],[f141]) ).

fof(f145,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(f146,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,[],[f145]) ).

fof(f147,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(f148,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,[],[f147]) ).

fof(f149,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(f150,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,[],[f149]) ).

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

fof(f153,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f152]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X1,X0,X2,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f16]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X2,X1,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f15]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X3,X2)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f170,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(f171,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(f172,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f173,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( perp(X0,X1,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f172]) ).

fof(f174,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(f175,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f174]) ).

fof(f211,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(f212,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f211]) ).

fof(f220,plain,
    ( ~ perp(sK7,sK6,sK3,sK4)
    & perp(sK2,sK0,sK2,sK1)
    & circle(sK0,sK2,sK8,sK9)
    & circle(sK1,sK2,sK10,sK11)
    & circle(sK0,sK2,sK3,sK12)
    & circle(sK0,sK3,sK4,sK13)
    & coll(sK4,sK3,sK0)
    & circle(sK0,sK2,sK5,sK14)
    & circle(sK1,sK2,sK5,sK15)
    & coll(sK6,sK3,sK5)
    & circle(sK1,sK2,sK6,sK16)
    & circle(sK1,sK6,sK7,sK17)
    & coll(sK7,sK6,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17]),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),skolemize(X16,sK16),skolemize(X17,sK17)],[f99]) ).

fof(f250,plain,
    perp(sK2,sK0,sK2,sK1),
    inference(cnf_transformation,[],[f220]) ).

fof(f251,plain,
    ~ perp(sK7,sK6,sK3,sK4),
    inference(cnf_transformation,[],[f220]) ).

fof(f266,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f280,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,[],[f137]) ).

fof(f284,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X2,X0,X0,X3)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f142]) ).

fof(f286,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,[],[f146]) ).

fof(f287,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,[],[f148]) ).

fof(f288,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,[],[f150]) ).

fof(f289,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | eqangle(X2,X0,X2,X1,X3,X0,X3,X1) ),
    inference(cnf_transformation,[],[f151]) ).

fof(f290,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X0,X2,X3) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f292,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X2,X1,X3) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f293,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | cyclic(X0,X1,X3,X2) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f304,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ para(X0,X1,X2,X3)
      | eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f305,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f171]) ).

fof(f306,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3)
      | perp(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f173]) ).

fof(f307,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,[],[f175]) ).

fof(f334,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f212]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK2,sK0)
      | para(X0,X1,sK2,sK1) ),
    inference(resolution,[],[f250,f307]) ).

fof(f343,plain,
    perp(sK2,sK1,sK2,sK0),
    inference(resolution,[],[f250,f266]) ).

fof(f352,plain,
    para(sK2,sK1,sK2,sK1),
    inference(resolution,[],[f340,f343]) ).

fof(f353,plain,
    ! [X0,X1] : eqangle(sK2,sK1,X0,X1,sK2,sK1,X0,X1),
    inference(resolution,[],[f352,f304]) ).

fof(f356,plain,
    ! [X0,X1] : eqangle(X0,X1,sK2,sK1,X0,X1,sK2,sK1),
    inference(resolution,[],[f353,f280]) ).

fof(f359,plain,
    ! [X0] :
      ( cyclic(sK1,X0,sK2,sK2)
      | coll(sK2,sK2,sK1) ),
    inference(resolution,[],[f353,f288]) ).

fof(f361,definition,
    ( spl36_1
  <=> coll(sK2,sK2,sK1) ),
    introduced(definition,[new_symbols(definition,[spl36_1])],[avatar_definition]) ).

fof(f362,plain,
    ( coll(sK2,sK2,sK1)
    | ~ spl36_1 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f364,definition,
    ( spl36_2
  <=> ! [X0] : cyclic(sK1,X0,sK2,sK2) ),
    introduced(definition,[new_symbols(definition,[spl36_2])],[avatar_definition]) ).

fof(f365,plain,
    ( ! [X0] : cyclic(sK1,X0,sK2,sK2)
    | ~ spl36_2 ),
    inference(avatar_component_clause,[],[f364]) ).

fof(f366,plain,
    ( spl36_1
    | spl36_2 ),
    inference(avatar_split_clause,[],[f359,f364,f361]) ).

fof(f381,plain,
    ( ! [X0] : cyclic(X0,sK1,sK2,sK2)
    | ~ spl36_2 ),
    inference(resolution,[],[f291,f365]) ).

fof(f468,plain,
    ( ! [X0] : cyclic(X0,sK2,sK1,sK2)
    | ~ spl36_2 ),
    inference(resolution,[],[f381,f292]) ).

fof(f475,plain,
    ( ! [X0] : cyclic(X0,sK2,sK2,sK1)
    | ~ spl36_2 ),
    inference(resolution,[],[f468,f293]) ).

fof(f483,plain,
    ( ! [X0] : cyclic(sK2,X0,sK2,sK1)
    | ~ spl36_2 ),
    inference(resolution,[],[f475,f291]) ).

fof(f490,plain,
    ( ! [X0] : cyclic(sK2,sK2,X0,sK1)
    | ~ spl36_2 ),
    inference(resolution,[],[f483,f292]) ).

fof(f495,plain,
    ( ! [X0] : cyclic(sK2,sK2,sK1,X0)
    | ~ spl36_2 ),
    inference(resolution,[],[f490,f293]) ).

fof(f506,plain,
    ( ! [X0,X1] :
        ( ~ cyclic(sK2,sK2,sK1,X0)
        | cyclic(sK2,sK1,X0,X1) )
    | ~ spl36_2 ),
    inference(resolution,[],[f495,f290]) ).

fof(f507,plain,
    ( ! [X0,X1] : cyclic(sK2,sK1,X0,X1)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f506,f495]) ).

fof(f515,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(sK2,sK1,X0,X1)
        | cyclic(sK1,X0,X1,X2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f507,f290]) ).

fof(f516,plain,
    ( ! [X2,X0,X1] : cyclic(sK1,X0,X1,X2)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f515,f507]) ).

fof(f526,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(sK1,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl36_2 ),
    inference(resolution,[],[f516,f290]) ).

fof(f527,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f526,f516]) ).

fof(f534,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X0,X2,X3,X1,X3,X2)
    | ~ spl36_2 ),
    inference(resolution,[],[f527,f289]) ).

fof(f535,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) )
    | ~ spl36_2 ),
    inference(resolution,[],[f527,f286]) ).

fof(f539,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) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f535,f527]) ).

fof(f540,plain,
    ( ! [X2,X3,X0,X1,X4,X5] :
        ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
        | cong(X0,X1,X3,X4) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f539,f527]) ).

fof(f541,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl36_2 ),
    inference(resolution,[],[f534,f305]) ).

fof(f560,plain,
    ( ! [X2,X3,X0,X1] : eqangle(X0,X1,X2,X3,X0,X1,X2,X3)
    | ~ spl36_2 ),
    inference(resolution,[],[f541,f304]) ).

fof(f588,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl36_2 ),
    inference(resolution,[],[f540,f560]) ).

fof(f589,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X1,X0,X0,X2)
        | ~ cyclic(X0,X0,X1,X2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f588,f284]) ).

fof(f590,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl36_2 ),
    inference(resolution,[],[f588,f334]) ).

fof(f594,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f590,f588]) ).

fof(f595,plain,
    ( ! [X2,X0,X1] :
        ( perp(X1,X0,X0,X2)
        | ~ cyclic(X0,X0,X1,X2) )
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f589,f588]) ).

fof(f596,plain,
    ( ! [X2,X0,X1] : perp(X1,X0,X0,X2)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f595,f527]) ).

fof(f597,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl36_2 ),
    inference(resolution,[],[f594,f307]) ).

fof(f600,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl36_2 ),
    inference(resolution,[],[f594,f266]) ).

fof(f602,plain,
    ( ! [X3,X0,X1,X4] : para(X0,X1,X3,X4)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f597,f600]) ).

fof(f604,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ para(X0,X1,X2,X3)
        | perp(X0,X1,X3,X4) )
    | ~ spl36_2 ),
    inference(resolution,[],[f596,f306]) ).

fof(f608,plain,
    ( ! [X3,X0,X1,X4] : perp(X0,X1,X3,X4)
    | ~ spl36_2 ),
    inference(forward_subsumption_resolution,[],[f604,f602]) ).

fof(f613,plain,
    ( $false
    | ~ spl36_2 ),
    inference(unit_resulting_resolution,[],[f266,f251,f608]) ).

fof(f625,plain,
    ~ spl36_2,
    inference(avatar_contradiction_clause,[],[f613]) ).

fof(f627,plain,
    ( ! [X0] :
        ( ~ eqangle(sK2,X0,sK2,sK1,sK2,X0,sK2,sK1)
        | cyclic(X0,sK1,sK2,sK2) )
    | ~ spl36_1 ),
    inference(resolution,[],[f362,f287]) ).

fof(f628,plain,
    ( ! [X0] : cyclic(X0,sK1,sK2,sK2)
    | ~ spl36_1 ),
    inference(forward_subsumption_resolution,[],[f627,f356]) ).

fof(f638,plain,
    ( ! [X0] : cyclic(sK1,X0,sK2,sK2)
    | ~ spl36_1 ),
    inference(resolution,[],[f628,f291]) ).

fof(f642,plain,
    ( spl36_2
    | ~ spl36_1 ),
    inference(avatar_split_clause,[],[f638,f361,f364]) ).

cnf(s1,plain,
    ( spl36_1
    | spl36_2 ),
    inference(sat_conversion,[],[f366]) ).

cnf(s7,plain,
    ~ spl36_2,
    inference(sat_conversion,[],[f625]) ).

cnf(s9,plain,
    ( ~ spl36_1
    | spl36_2 ),
    inference(sat_conversion,[],[f642]) ).

cnf(s10,plain,
    ~ spl36_1,
    inference(rat,[],[s9,s7]) ).

cnf(s11,plain,
    $false,
    inference(rat,[],[s1,s7,s10]) ).

fof(f643,plain,
    $false,
    inference(avatar_sat_refutation,[],[s11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO606+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38  % Computer : n001.cluster.edu
% 0.13/0.38  % Model    : x86_64 x86_64
% 0.13/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38  % Memory   : 8046.5625MB
% 0.13/0.38  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 08:43:31 UTC 2026
% 0.13/0.39  % CPUTime  : 
% 0.13/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42  Running first-order theorem proving
% 0.13/0.42  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
% 4.34/1.80  % (3252185)Detected formulas, will run a generic FOF schedule.
% 4.34/1.80  % (3252196)dis-21_1_sil=8000:lcm=predicate:random_seed=303264789: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)
% 4.34/1.80  % (3252194)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=254273913:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.34/1.80  % (3252190)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=3007185761:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.34/1.80  % (3252193)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3376726061:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.34/1.80  % (3252191)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=1267415391:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.34/1.80  % (3252192)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=1257349117:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.34/1.80  % (3252195)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1434790360:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.34/1.80  % (3252196)Instruction limit reached! 
% 4.34/1.80  % (3252196)------------------------------
% 4.34/1.80  % (3252196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252196)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252196)Termination reason: Instruction limit
% 4.34/1.80  % (3252196)Termination phase: Saturation
% 4.34/1.80  % (3252196)Time elapsed: 0.040 s
% 4.34/1.80  % (3252196)Peak memory usage: 90 MB
% 4.34/1.80  % (3252196)Instructions burned: 133 (million)
% 4.34/1.80  % (3252193)Refutation not found, incomplete strategy
% 4.34/1.80  % (3252193)------------------------------
% 4.34/1.80  % (3252193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252193)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252193)Termination reason: Refutation not found, incomplete strategy
% 4.34/1.80  % (3252193)Time elapsed: 0.027 s
% 4.34/1.80  % (3252193)Peak memory usage: 88 MB
% 4.34/1.80  % (3252193)Instructions burned: 46 (million)
% 4.34/1.80  % (3252194)Instruction limit reached! 
% 4.34/1.80  % (3252194)------------------------------
% 4.34/1.80  % (3252194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252194)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252194)Termination reason: Instruction limit
% 4.34/1.80  % (3252194)Termination phase: Saturation
% 4.34/1.80  % (3252194)Time elapsed: 0.069 s
% 4.34/1.80  % (3252194)Peak memory usage: 88 MB
% 4.34/1.80  % (3252194)Instructions burned: 119 (million)
% 4.34/1.80  % (3252204)lrs+10_1_sil=8000:sp=occurrence:random_seed=3401752483:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.34/1.80  % (3252195)Instruction limit reached! 
% 4.34/1.80  % (3252195)------------------------------
% 4.34/1.80  % (3252195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252195)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252195)Termination reason: Instruction limit
% 4.34/1.80  % (3252195)Termination phase: Saturation
% 4.34/1.80  % (3252195)Time elapsed: 0.091 s
% 4.34/1.80  % (3252195)Peak memory usage: 90 MB
% 4.34/1.80  % (3252195)Instructions burned: 140 (million)
% 4.34/1.80  % (3252204)Instruction limit reached! 
% 4.34/1.80  % (3252204)------------------------------
% 4.34/1.80  % (3252204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252204)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252204)Termination reason: Instruction limit
% 4.34/1.80  % (3252204)Termination phase: Saturation
% 4.34/1.80  % (3252204)Time elapsed: 0.100 s
% 4.34/1.80  % (3252204)Peak memory usage: 93 MB
% 4.34/1.80  % (3252204)Instructions burned: 286 (million)
% 4.34/1.80  % (3252205)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2494716079:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.34/1.80  % (3252207)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2501801903:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.34/1.80  % (3252193)------------------------------
% 4.34/1.80  % (3252193)------------------------------
% 4.34/1.80  % (3252208)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=13351108:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 4.34/1.80  % (3252205)Instruction limit reached! 
% 4.34/1.80  % (3252205)------------------------------
% 4.34/1.80  % (3252205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252205)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252205)Termination reason: Instruction limit
% 4.34/1.80  % (3252205)Termination phase: Saturation
% 4.34/1.80  % (3252205)Time elapsed: 0.082 s
% 4.34/1.80  % (3252205)Peak memory usage: 90 MB
% 4.34/1.80  % (3252205)Instructions burned: 157 (million)
% 4.34/1.80  % (3252208)Instruction limit reached! 
% 4.34/1.80  % (3252208)------------------------------
% 4.34/1.80  % (3252208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252208)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252208)Termination reason: Instruction limit
% 4.34/1.80  % (3252208)Termination phase: Saturation
% 4.34/1.80  % (3252208)Time elapsed: 0.076 s
% 4.34/1.80  % (3252208)Peak memory usage: 90 MB
% 4.34/1.80  % (3252208)Instructions burned: 248 (million)
% 4.34/1.80  % (3252211)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3648808582:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.34/1.80  % (3252213)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=268116042:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 4.34/1.80  % (3252214)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=140516479:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 4.34/1.80  % (3252207)Instruction limit reached! 
% 4.34/1.80  % (3252207)------------------------------
% 4.34/1.80  % (3252207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252207)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252207)Termination reason: Instruction limit
% 4.34/1.80  % (3252207)Termination phase: Saturation
% 4.34/1.80  % (3252207)Time elapsed: 0.215 s
% 4.34/1.80  % (3252207)Peak memory usage: 92 MB
% 4.34/1.80  % (3252207)Instructions burned: 325 (million)
% 4.34/1.80  % (3252214)Instruction limit reached! 
% 4.34/1.80  % (3252214)------------------------------
% 4.34/1.80  % (3252214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252214)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252214)Termination reason: Instruction limit
% 4.34/1.80  % (3252214)Termination phase: Saturation
% 4.34/1.80  % (3252214)Time elapsed: 0.036 s
% 4.34/1.80  % (3252214)Peak memory usage: 90 MB
% 4.34/1.80  % (3252214)Instructions burned: 117 (million)
% 4.34/1.80  % (3252211)Instruction limit reached! 
% 4.34/1.80  % (3252211)------------------------------
% 4.34/1.80  % (3252211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252211)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252211)Termination reason: Instruction limit
% 4.34/1.80  % (3252211)Termination phase: Saturation
% 4.34/1.80  % (3252211)Time elapsed: 0.170 s
% 4.34/1.80  % (3252211)Peak memory usage: 89 MB
% 4.34/1.80  % (3252211)Instructions burned: 294 (million)
% 4.34/1.80  % (3252218)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4288779544:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 4.34/1.80  % (3252219)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4097585558:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 4.34/1.80  % (3252191)First to succeed.
% 4.34/1.80  % (3252191)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3252185"
% 4.34/1.80  % (3252218)Instruction limit reached! 
% 4.34/1.80  % (3252218)------------------------------
% 4.34/1.80  % (3252218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252218)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252218)Termination reason: Instruction limit
% 4.34/1.80  % (3252218)Termination phase: Saturation
% 4.34/1.80  % (3252218)Time elapsed: 0.069 s
% 4.34/1.80  % (3252218)Peak memory usage: 89 MB
% 4.34/1.80  % (3252218)Instructions burned: 127 (million)
% 4.34/1.80  % (3252219)Instruction limit reached! 
% 4.34/1.80  % (3252219)------------------------------
% 4.34/1.80  % (3252219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.80  % (3252219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.80  % (3252219)CaDiCaL version: 2.1.3
% 4.34/1.80  % (3252219)Termination reason: Instruction limit
% 4.34/1.80  % (3252219)Termination phase: Saturation
% 4.34/1.80  % (3252219)Time elapsed: 0.062 s
% 4.34/1.80  % (3252219)Peak memory usage: 89 MB
% 4.34/1.80  % (3252219)Instructions burned: 115 (million)
% 4.34/1.80  % (3252190)Also succeeded, but the first one will report.
% 4.34/1.80  % (3252220)lrs+10_1_sil=8000:sp=occurrence:random_seed=1678770988:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 4.34/1.80  % (3252191)Refutation found. Thanks to Tanya!
% 4.34/1.80  % SZS status Theorem for theBenchmark
% 4.34/1.80  % SZS output start Proof for theBenchmark
% See solution above
% 4.34/1.90  % (3252191)------------------------------
% 4.34/1.90  % (3252191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.34/1.90  % (3252191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.34/1.90  % (3252191)CaDiCaL version: 2.1.3
% 4.34/1.90  % (3252191)Termination reason: Refutation
% 4.34/1.90  % (3252191)Time elapsed: 0.617 s
% 4.34/1.90  % (3252191)Peak memory usage: 130 MB
% 4.34/1.90  % (3252191)Instructions burned: 1031 (million)
% 4.34/1.90  % (3252191)------------------------------
% 4.34/1.90  % (3252191)------------------------------
% 4.34/1.90  % (3252185)Success in time 0.934 s
% 4.34/1.90  % Vampire exiting
%------------------------------------------------------------------------------