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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO545+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 : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 09:52:54 AM UTC 2026

% Result   : Theorem 10.68s 2.68s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   93 (  10 unt;   2 def)
%            Number of atoms       :  363 (   0 equ)
%            Maximal formula atoms :   28 (   3 avg)
%            Number of connectives :  388 ( 118   ~; 113   |; 141   &)
%                                         (   2 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   49 (   9 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-8 aty)
%            Number of functors    :   20 (  20 usr;  20 con; 0-0 aty)
%            Number of variables   :  414 (   0 sgn 374   !;  40   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
     => perp(X2,X3,X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD8) ).

fof(f9,axiom,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X2,X3,X4,X5) )
     => para(X0,X1,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD9) ).

fof(f17,axiom,
    ! [X0,X1,X2,X3,X4] :
      ( ( cyclic(X0,X1,X2,X3)
        & cyclic(X0,X1,X2,X4) )
     => cyclic(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD17) ).

fof(f19,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD19) ).

fof(f21,axiom,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
     => eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ruleD21) ).

fof(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,X16,X17,X18,X19] :
      ( ( perp(X0,X1,X2,X3)
        & perp(X0,X2,X1,X3)
        & perp(X1,X2,X0,X3)
        & midp(X8,X0,X1)
        & perp(X0,X1,X8,X4)
        & midp(X9,X0,X2)
        & perp(X0,X2,X9,X4)
        & midp(X10,X1,X2)
        & perp(X1,X2,X10,X4)
        & midp(X11,X0,X1)
        & perp(X0,X1,X11,X5)
        & midp(X12,X0,X3)
        & perp(X0,X3,X12,X5)
        & midp(X13,X1,X3)
        & perp(X1,X3,X13,X5)
        & midp(X14,X0,X3)
        & perp(X0,X3,X14,X6)
        & midp(X15,X0,X2)
        & perp(X0,X2,X15,X6)
        & midp(X16,X3,X2)
        & perp(X3,X2,X16,X6)
        & midp(X17,X1,X3)
        & perp(X1,X3,X17,X7)
        & midp(X18,X1,X2)
        & perp(X1,X2,X18,X7)
        & midp(X19,X3,X2)
        & perp(X3,X2,X19,X7) )
     => perp(X7,X4,X6,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplo6GDDFULL012005) ).

fof(f96,negated_conjecture,
    ~ ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
        ( ( perp(X0,X1,X2,X3)
          & perp(X0,X2,X1,X3)
          & perp(X1,X2,X0,X3)
          & midp(X8,X0,X1)
          & perp(X0,X1,X8,X4)
          & midp(X9,X0,X2)
          & perp(X0,X2,X9,X4)
          & midp(X10,X1,X2)
          & perp(X1,X2,X10,X4)
          & midp(X11,X0,X1)
          & perp(X0,X1,X11,X5)
          & midp(X12,X0,X3)
          & perp(X0,X3,X12,X5)
          & midp(X13,X1,X3)
          & perp(X1,X3,X13,X5)
          & midp(X14,X0,X3)
          & perp(X0,X3,X14,X6)
          & midp(X15,X0,X2)
          & perp(X0,X2,X15,X6)
          & midp(X16,X3,X2)
          & perp(X3,X2,X16,X6)
          & midp(X17,X1,X3)
          & perp(X1,X3,X17,X7)
          & midp(X18,X1,X2)
          & perp(X1,X2,X18,X7)
          & midp(X19,X3,X2)
          & perp(X3,X2,X19,X7) )
       => perp(X7,X4,X6,X5) ),
    inference(negated_conjecture,[status(cth)],[f95]) ).

fof(f107,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X2,X3,X0,X1)
      | ~ perp(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f108,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f109,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | ~ perp(X2,X3,X4,X5) ),
    inference(flattening,[],[f108]) ).

fof(f120,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(ennf_transformation,[],[f17]) ).

fof(f121,plain,
    ! [X0,X1,X2,X3,X4] :
      ( cyclic(X1,X2,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4) ),
    inference(flattening,[],[f120]) ).

fof(f123,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X2,X3,X0,X1,X6,X7,X4,X5)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f125,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X6,X7)
      | ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f148,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( para(X0,X1,X2,X3)
      | ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5) ),
    inference(ennf_transformation,[],[f39]) ).

fof(f149,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(ennf_transformation,[],[f40]) ).

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

fof(f151,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f152,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | coll(X2,X3,X0) ),
    inference(flattening,[],[f151]) ).

fof(f153,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f154,plain,
    ! [X0,X1,X2,X3] :
      ( cyclic(X0,X1,X2,X3)
      | ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ coll(X2,X3,X1) ),
    inference(flattening,[],[f153]) ).

fof(f155,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f156,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( cong(X0,X1,X3,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4) ),
    inference(flattening,[],[f155]) ).

fof(f180,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f181,plain,
    ! [X0,X1,X2,X3] :
      ( perp(X0,X1,X2,X3)
      | ~ cong(X0,X2,X1,X2)
      | ~ cong(X0,X3,X1,X3) ),
    inference(flattening,[],[f180]) ).

fof(f249,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X0,X1,X2,X3)
      & perp(X0,X2,X1,X3)
      & perp(X1,X2,X0,X3)
      & midp(X8,X0,X1)
      & perp(X0,X1,X8,X4)
      & midp(X9,X0,X2)
      & perp(X0,X2,X9,X4)
      & midp(X10,X1,X2)
      & perp(X1,X2,X10,X4)
      & midp(X11,X0,X1)
      & perp(X0,X1,X11,X5)
      & midp(X12,X0,X3)
      & perp(X0,X3,X12,X5)
      & midp(X13,X1,X3)
      & perp(X1,X3,X13,X5)
      & midp(X14,X0,X3)
      & perp(X0,X3,X14,X6)
      & midp(X15,X0,X2)
      & perp(X0,X2,X15,X6)
      & midp(X16,X3,X2)
      & perp(X3,X2,X16,X6)
      & midp(X17,X1,X3)
      & perp(X1,X3,X17,X7)
      & midp(X18,X1,X2)
      & perp(X1,X2,X18,X7)
      & midp(X19,X3,X2)
      & perp(X3,X2,X19,X7) ),
    inference(ennf_transformation,[],[f96]) ).

fof(f250,plain,
    ? [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19] :
      ( ~ perp(X7,X4,X6,X5)
      & perp(X0,X1,X2,X3)
      & perp(X0,X2,X1,X3)
      & perp(X1,X2,X0,X3)
      & midp(X8,X0,X1)
      & perp(X0,X1,X8,X4)
      & midp(X9,X0,X2)
      & perp(X0,X2,X9,X4)
      & midp(X10,X1,X2)
      & perp(X1,X2,X10,X4)
      & midp(X11,X0,X1)
      & perp(X0,X1,X11,X5)
      & midp(X12,X0,X3)
      & perp(X0,X3,X12,X5)
      & midp(X13,X1,X3)
      & perp(X1,X3,X13,X5)
      & midp(X14,X0,X3)
      & perp(X0,X3,X14,X6)
      & midp(X15,X0,X2)
      & perp(X0,X2,X15,X6)
      & midp(X16,X3,X2)
      & perp(X3,X2,X16,X6)
      & midp(X17,X1,X3)
      & perp(X1,X3,X17,X7)
      & midp(X18,X1,X2)
      & perp(X1,X2,X18,X7)
      & midp(X19,X3,X2)
      & perp(X3,X2,X19,X7) ),
    inference(flattening,[],[f249]) ).

fof(f270,plain,
    ( ~ perp(sK27,sK24,sK26,sK25)
    & perp(sK20,sK21,sK22,sK23)
    & perp(sK20,sK22,sK21,sK23)
    & perp(sK21,sK22,sK20,sK23)
    & midp(sK28,sK20,sK21)
    & perp(sK20,sK21,sK28,sK24)
    & midp(sK29,sK20,sK22)
    & perp(sK20,sK22,sK29,sK24)
    & midp(sK30,sK21,sK22)
    & perp(sK21,sK22,sK30,sK24)
    & midp(sK31,sK20,sK21)
    & perp(sK20,sK21,sK31,sK25)
    & midp(sK32,sK20,sK23)
    & perp(sK20,sK23,sK32,sK25)
    & midp(sK33,sK21,sK23)
    & perp(sK21,sK23,sK33,sK25)
    & midp(sK34,sK20,sK23)
    & perp(sK20,sK23,sK34,sK26)
    & midp(sK35,sK20,sK22)
    & perp(sK20,sK22,sK35,sK26)
    & midp(sK36,sK23,sK22)
    & perp(sK23,sK22,sK36,sK26)
    & midp(sK37,sK21,sK23)
    & perp(sK21,sK23,sK37,sK27)
    & midp(sK38,sK21,sK22)
    & perp(sK21,sK22,sK38,sK27)
    & midp(sK39,sK23,sK22)
    & perp(sK23,sK22,sK39,sK27) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30,sK31,sK32,sK33,sK34,sK35,sK36,sK37,sK38,sK39]),skolemize(X0,sK20),skolemize(X1,sK21),skolemize(X2,sK22),skolemize(X3,sK23),skolemize(X4,sK24),skolemize(X5,sK25),skolemize(X6,sK26),skolemize(X7,sK27),skolemize(X8,sK28),skolemize(X9,sK29),skolemize(X10,sK30),skolemize(X11,sK31),skolemize(X12,sK32),skolemize(X13,sK33),skolemize(X14,sK34),skolemize(X15,sK35),skolemize(X16,sK36),skolemize(X17,sK37),skolemize(X18,sK38),skolemize(X19,sK39)],[f250]) ).

fof(f278,plain,
    ! [X2,X3,X0,X1] :
      ( ~ perp(X0,X1,X2,X3)
      | perp(X2,X3,X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f279,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ perp(X2,X3,X4,X5)
      | ~ perp(X0,X1,X2,X3)
      | para(X0,X1,X4,X5) ),
    inference(cnf_transformation,[],[f109]) ).

fof(f287,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | cyclic(X1,X2,X3,X4) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f289,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X2,X3,X0,X1,X6,X7,X4,X5) ),
    inference(cnf_transformation,[],[f123]) ).

fof(f291,plain,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ eqangle(X0,X1,X2,X3,X4,X5,X6,X7)
      | eqangle(X0,X1,X4,X5,X2,X3,X6,X7) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f309,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f310,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X4,X5,X2,X3,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f311,plain,
    ! [X2,X3,X0,X1] :
      ( eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | ~ cyclic(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f150]) ).

fof(f312,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | coll(X2,X3,X0) ),
    inference(cnf_transformation,[],[f152]) ).

fof(f313,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eqangle(X2,X0,X2,X1,X3,X0,X3,X1)
      | cyclic(X0,X1,X2,X3)
      | ~ coll(X2,X3,X1) ),
    inference(cnf_transformation,[],[f154]) ).

fof(f314,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ eqangle(X2,X0,X2,X1,X5,X3,X5,X4)
      | ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X4)
      | ~ cyclic(X0,X1,X2,X5)
      | cong(X0,X1,X3,X4) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f327,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cong(X0,X3,X1,X3)
      | ~ cong(X0,X2,X1,X2)
      | perp(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f181]) ).

fof(f384,plain,
    perp(sK23,sK22,sK39,sK27),
    inference(cnf_transformation,[],[f270]) ).

fof(f411,plain,
    ~ perp(sK27,sK24,sK26,sK25),
    inference(cnf_transformation,[],[f270]) ).

fof(f412,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X0,X1,X2,X3)
      | ~ cyclic(X0,X1,X2,X0)
      | ~ cyclic(X0,X1,X2,X1)
      | ~ cyclic(X0,X1,X2,X3)
      | cong(X0,X1,X0,X1) ),
    inference(resolution,[],[f311,f314]) ).

fof(f413,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,[],[f412]) ).

fof(f414,plain,
    ! [X2,X3,X0,X1] :
      ( ~ cyclic(X1,X3,X0,X3)
      | ~ cyclic(X1,X3,X0,X2)
      | ~ para(X0,X1,X0,X2)
      | ~ cyclic(X1,X3,X0,X0)
      | cong(X1,X3,X2,X3) ),
    inference(resolution,[],[f310,f314]) ).

fof(f421,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X0,X1,X4,X5)
      | ~ para(X2,X3,X4,X5) ),
    inference(resolution,[],[f289,f310]) ).

fof(f436,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( eqangle(X0,X1,X2,X3,X4,X5,X4,X5)
      | ~ para(X0,X1,X2,X3) ),
    inference(resolution,[],[f291,f310]) ).

fof(f449,plain,
    ! [X2,X3,X0,X1] :
      ( para(X0,X1,X0,X1)
      | ~ para(X2,X3,X2,X3) ),
    inference(resolution,[],[f309,f421]) ).

fof(f451,definition,
    ( spl40_1
  <=> ! [X2,X3] : ~ para(X2,X3,X2,X3) ),
    introduced(definition,[new_symbols(definition,[spl40_1])],[avatar_definition]) ).

fof(f452,plain,
    ( ! [X2,X3] : ~ para(X2,X3,X2,X3)
    | ~ spl40_1 ),
    inference(avatar_component_clause,[],[f451]) ).

fof(f454,definition,
    ( spl40_2
  <=> ! [X0,X1] : para(X0,X1,X0,X1) ),
    introduced(definition,[new_symbols(definition,[spl40_2])],[avatar_definition]) ).

fof(f455,plain,
    ( ! [X0,X1] : para(X0,X1,X0,X1)
    | ~ spl40_2 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f456,plain,
    ( spl40_1
    | spl40_2 ),
    inference(avatar_split_clause,[],[f449,f454,f451]) ).

fof(f461,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f312,f436]) ).

fof(f464,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | coll(X1,X2,X0) )
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f461,f455]) ).

fof(f533,plain,
    perp(sK39,sK27,sK23,sK22),
    inference(resolution,[],[f384,f278]) ).

fof(f535,plain,
    ! [X0,X1] :
      ( ~ perp(X0,X1,sK23,sK22)
      | para(X0,X1,sK39,sK27) ),
    inference(resolution,[],[f384,f279]) ).

fof(f536,plain,
    para(sK39,sK27,sK39,sK27),
    inference(resolution,[],[f533,f535]) ).

fof(f547,plain,
    ! [X2,X0,X1] :
      ( cyclic(X0,X0,X1,X2)
      | ~ coll(X1,X2,X0)
      | ~ para(X1,X0,X1,X0) ),
    inference(resolution,[],[f313,f436]) ).

fof(f550,plain,
    ( ! [X2,X0,X1] :
        ( cyclic(X0,X0,X1,X2)
        | ~ para(X1,X0,X1,X0) )
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f547,f464]) ).

fof(f553,plain,
    ( ! [X2,X0,X1] : cyclic(X0,X0,X1,X2)
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f550,f455]) ).

fof(f558,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X0,X1,X2)
        | cyclic(X0,X1,X2,X3) )
    | ~ spl40_2 ),
    inference(resolution,[],[f553,f287]) ).

fof(f562,plain,
    ( ! [X2,X3,X0,X1] : cyclic(X0,X1,X2,X3)
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f558,f553]) ).

fof(f568,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | ~ cyclic(X0,X1,X2,X1)
        | cong(X0,X1,X0,X1) )
    | ~ spl40_2 ),
    inference(resolution,[],[f562,f413]) ).

fof(f570,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X3)
        | ~ para(X2,X0,X2,X3)
        | ~ cyclic(X0,X1,X2,X2)
        | cong(X0,X1,X3,X1) )
    | ~ spl40_2 ),
    inference(resolution,[],[f562,f414]) ).

fof(f571,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X3)
        | ~ para(X2,X0,X2,X3)
        | cong(X0,X1,X3,X1) )
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f570,f562]) ).

fof(f572,plain,
    ( ! [X2,X0,X1] :
        ( ~ cyclic(X0,X1,X2,X0)
        | cong(X0,X1,X0,X1) )
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f568,f562]) ).

fof(f573,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ para(X2,X0,X2,X3)
        | cong(X0,X1,X3,X1) )
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f571,f562]) ).

fof(f574,plain,
    ( ! [X0,X1] : cong(X0,X1,X0,X1)
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f572,f562]) ).

fof(f575,plain,
    ( ! [X2,X0,X1] :
        ( ~ cong(X0,X1,X0,X1)
        | perp(X0,X0,X1,X2) )
    | ~ spl40_2 ),
    inference(resolution,[],[f574,f327]) ).

fof(f576,plain,
    ( ! [X2,X0,X1] : perp(X0,X0,X1,X2)
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f575,f574]) ).

fof(f577,plain,
    ( ! [X2,X0,X1] : perp(X0,X1,X2,X2)
    | ~ spl40_2 ),
    inference(resolution,[],[f576,f278]) ).

fof(f579,plain,
    ( ! [X2,X3,X0,X1,X4] :
        ( ~ perp(X0,X1,X2,X2)
        | para(X0,X1,X3,X4) )
    | ~ spl40_2 ),
    inference(resolution,[],[f576,f279]) ).

fof(f591,plain,
    ( ! [X2,X3,X0,X1] : para(X0,X1,X2,X3)
    | ~ spl40_2 ),
    inference(resolution,[],[f579,f577]) ).

fof(f600,plain,
    ( ! [X2,X0,X1] : cong(X0,X1,X2,X1)
    | ~ spl40_2 ),
    inference(resolution,[],[f573,f591]) ).

fof(f608,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ cong(X0,X1,X2,X1)
        | perp(X0,X2,X1,X3) )
    | ~ spl40_2 ),
    inference(resolution,[],[f600,f327]) ).

fof(f609,plain,
    ( ! [X2,X3,X0,X1] : perp(X0,X2,X1,X3)
    | ~ spl40_2 ),
    inference(forward_subsumption_resolution,[],[f608,f600]) ).

fof(f610,plain,
    ( $false
    | ~ spl40_2 ),
    inference(resolution,[],[f609,f411]) ).

fof(f622,plain,
    ~ spl40_2,
    inference(avatar_contradiction_clause,[],[f610]) ).

fof(f635,plain,
    ( $false
    | ~ spl40_1 ),
    inference(forward_subsumption_resolution,[],[f536,f452]) ).

fof(f636,plain,
    ~ spl40_1,
    inference(avatar_contradiction_clause,[],[f635]) ).

cnf(s1,plain,
    ( spl40_1
    | spl40_2 ),
    inference(sat_conversion,[],[f456]) ).

cnf(s2,plain,
    ~ spl40_2,
    inference(sat_conversion,[],[f622]) ).

cnf(s9,plain,
    ~ spl40_1,
    inference(sat_conversion,[],[f636]) ).

cnf(s10,plain,
    $false,
    inference(rat,[],[s1,s2,s9]) ).

fof(f637,plain,
    $false,
    inference(avatar_sat_refutation,[],[s10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : GEO545+1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42  % Computer : n013.cluster.edu
% 0.17/0.42  % Model    : x86_64 x86_64
% 0.17/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42  % Memory   : 8046.5625MB
% 0.17/0.42  % OS       : Linux 6.8.0-71-generic
% 0.17/0.42  % CPULimit : 300
% 0.17/0.42  % WCLimit  : 300
% 0.17/0.42  % DateTime : Sun Sep 27 08:28:22 UTC 2026
% 0.17/0.42  % CPUTime  : 
% 0.17/0.42  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48  Running first-order theorem proving
% 0.23/0.48  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
% 10.68/2.68  % (4112427)Detected formulas, will run a generic FOF schedule.
% 10.68/2.68  % (4112446)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2006130309:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.68/2.68  % (4112444)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=2763950132:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.68/2.68  % (4112442)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=1314996974:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.68/2.68  % (4112443)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=3866053871:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.68/2.68  % (4112447)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3372742245:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.68/2.68  % (4112448)dis-21_1_sil=8000:lcm=predicate:random_seed=1289748829: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)
% 10.68/2.68  % (4112445)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3235661331:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.68/2.68  % (4112446)Instruction limit reached! 
% 10.68/2.68  % (4112446)------------------------------
% 10.68/2.68  % (4112446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112446)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112446)Termination reason: Instruction limit
% 10.68/2.68  % (4112446)Termination phase: Saturation
% 10.68/2.68  % (4112446)Time elapsed: 0.062 s
% 10.68/2.68  % (4112446)Peak memory usage: 88 MB
% 10.68/2.68  % (4112446)Instructions burned: 119 (million)
% 10.68/2.68  % (4112445)Refutation not found, incomplete strategy
% 10.68/2.68  % (4112445)------------------------------
% 10.68/2.68  % (4112445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112445)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112445)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.68  % (4112445)Time elapsed: 0.025 s
% 10.68/2.68  % (4112445)Peak memory usage: 88 MB
% 10.68/2.68  % (4112445)Instructions burned: 22 (million)
% 10.68/2.68  % (4112448)Instruction limit reached! 
% 10.68/2.68  % (4112448)------------------------------
% 10.68/2.68  % (4112448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112448)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112448)Termination reason: Instruction limit
% 10.68/2.68  % (4112448)Termination phase: Saturation
% 10.68/2.68  % (4112448)Time elapsed: 0.132 s
% 10.68/2.68  % (4112448)Peak memory usage: 89 MB
% 10.68/2.68  % (4112448)Instructions burned: 129 (million)
% 10.68/2.68  % (4112447)Instruction limit reached! 
% 10.68/2.68  % (4112447)------------------------------
% 10.68/2.68  % (4112447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112447)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112447)Termination reason: Instruction limit
% 10.68/2.68  % (4112447)Termination phase: Saturation
% 10.68/2.68  % (4112447)Time elapsed: 0.143 s
% 10.68/2.68  % (4112447)Peak memory usage: 90 MB
% 10.68/2.68  % (4112447)Instructions burned: 139 (million)
% 10.68/2.68  % (4112456)lrs+10_1_sil=8000:sp=occurrence:random_seed=1038091479:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.68/2.68  % (4112456)Instruction limit reached! 
% 10.68/2.68  % (4112456)------------------------------
% 10.68/2.68  % (4112456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112456)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112456)Termination reason: Instruction limit
% 10.68/2.68  % (4112456)Termination phase: Saturation
% 10.68/2.68  % (4112456)Time elapsed: 0.163 s
% 10.68/2.68  % (4112456)Peak memory usage: 93 MB
% 10.68/2.68  % (4112456)Instructions burned: 286 (million)
% 10.68/2.68  % (4112457)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1121933982:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 10.68/2.68  % (4112458)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2195603205:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.68/2.68  % (4112445)------------------------------
% 10.68/2.68  % (4112445)------------------------------
% 10.68/2.68  % (4112460)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=3514926511:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.68/2.68  % (4112457)Instruction limit reached! 
% 10.68/2.68  % (4112457)------------------------------
% 10.68/2.68  % (4112457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112457)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112457)Termination reason: Instruction limit
% 10.68/2.68  % (4112457)Termination phase: Saturation
% 10.68/2.68  % (4112457)Time elapsed: 0.136 s
% 10.68/2.68  % (4112457)Peak memory usage: 92 MB
% 10.68/2.68  % (4112457)Instructions burned: 157 (million)
% 10.68/2.68  % (4112460)Instruction limit reached! 
% 10.68/2.68  % (4112460)------------------------------
% 10.68/2.68  % (4112460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112460)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112460)Termination reason: Instruction limit
% 10.68/2.68  % (4112460)Termination phase: Saturation
% 10.68/2.68  % (4112460)Time elapsed: 0.115 s
% 10.68/2.68  % (4112460)Peak memory usage: 93 MB
% 10.68/2.68  % (4112460)Instructions burned: 249 (million)
% 10.68/2.68  % (4112463)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3949118157:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.68/2.68  % (4112458)Instruction limit reached! 
% 10.68/2.68  % (4112458)------------------------------
% 10.68/2.68  % (4112458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112458)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112458)Termination reason: Instruction limit
% 10.68/2.68  % (4112458)Termination phase: Saturation
% 10.68/2.68  % (4112458)Time elapsed: 0.321 s
% 10.68/2.68  % (4112458)Peak memory usage: 91 MB
% 10.68/2.68  % (4112458)Instructions burned: 325 (million)
% 10.68/2.68  % (4112467)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=275354118:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.68/2.68  % (4112468)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1122205646:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.68/2.68  % (4112468)Instruction limit reached! 
% 10.68/2.68  % (4112468)------------------------------
% 10.68/2.68  % (4112468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112468)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112468)Termination reason: Instruction limit
% 10.68/2.68  % (4112468)Termination phase: Saturation
% 10.68/2.68  % (4112468)Time elapsed: 0.060 s
% 10.68/2.68  % (4112468)Peak memory usage: 90 MB
% 10.68/2.68  % (4112468)Instructions burned: 115 (million)
% 10.68/2.68  % (4112470)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2373109684:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.68/2.68  % (4112463)Instruction limit reached! 
% 10.68/2.68  % (4112463)------------------------------
% 10.68/2.68  % (4112463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112463)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112463)Termination reason: Instruction limit
% 10.68/2.68  % (4112463)Termination phase: Saturation
% 10.68/2.68  % (4112463)Time elapsed: 0.291 s
% 10.68/2.68  % (4112463)Peak memory usage: 90 MB
% 10.68/2.68  % (4112463)Instructions burned: 295 (million)
% 10.68/2.68  % (4112442)First to succeed.
% 10.68/2.68  % (4112470)Instruction limit reached! 
% 10.68/2.68  % (4112470)------------------------------
% 10.68/2.68  % (4112470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112470)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112470)Termination reason: Instruction limit
% 10.68/2.68  % (4112470)Termination phase: Saturation
% 10.68/2.68  % (4112470)Time elapsed: 0.114 s
% 10.68/2.68  % (4112470)Peak memory usage: 89 MB
% 10.68/2.68  % (4112470)Instructions burned: 128 (million)
% 10.68/2.68  % (4112442)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4112427"
% 10.68/2.68  % (4112473)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=618128700:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.68/2.68  % (4112473)Instruction limit reached! 
% 10.68/2.68  % (4112473)------------------------------
% 10.68/2.68  % (4112473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112473)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112473)Termination reason: Instruction limit
% 10.68/2.68  % (4112473)Termination phase: Saturation
% 10.68/2.68  % (4112473)Time elapsed: 0.111 s
% 10.68/2.68  % (4112473)Peak memory usage: 90 MB
% 10.68/2.68  % (4112473)Instructions burned: 114 (million)
% 10.68/2.68  % (4112477)lrs+10_1_sil=8000:sp=occurrence:random_seed=1562507273:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 10.68/2.68  % (4112479)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1729885279:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 10.68/2.68  % (4112479)Refutation not found, incomplete strategy
% 10.68/2.68  % (4112479)------------------------------
% 10.68/2.68  % (4112479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.68/2.68  % (4112479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.68/2.68  % (4112479)CaDiCaL version: 2.1.3
% 10.68/2.68  % (4112479)Termination reason: Refutation not found, incomplete strategy
% 10.68/2.68  % (4112479)Time elapsed: 0.003 s
% 10.68/2.68  % (4112479)Peak memory usage: 88 MB
% 10.68/2.68  % (4112479)Instructions burned: 3 (million)
% 10.68/2.68  % (4112443)Also succeeded, but the first one will report.
% 10.68/2.68  % (4112480)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2475590585:i=5202:ss=axioms:sgt=16_2986 on theBenchmark for (2986ds/5202Mi)
% 10.68/2.68  % (4112442)Refutation found. Thanks to Tanya!
% 10.68/2.68  % SZS status Theorem for theBenchmark
% 10.68/2.68  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/2.91  % (4112442)------------------------------
% 0.24/2.91  % (4112442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/2.91  % (4112442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/2.91  % (4112442)CaDiCaL version: 2.1.3
% 0.24/2.91  % (4112442)Termination reason: Refutation
% 0.24/2.91  % (4112442)Time elapsed: 1.074 s
% 0.24/2.91  % (4112442)Peak memory usage: 132 MB
% 0.24/2.91  % (4112442)Instructions burned: 1011 (million)
% 0.24/2.91  % (4112442)------------------------------
% 0.24/2.91  % (4112442)------------------------------
% 0.24/2.91  % (4112427)Success in time 1.584 s
% 0.24/2.91  % Vampire exiting
%------------------------------------------------------------------------------