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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : ALG028+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 09:07:48 AM UTC 2026

% Result   : Theorem 0.63s 0.71s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of formulae    :  159 (  86 unt;  22 def)
%            Number of atoms       :  637 ( 346 equ)
%            Maximal formula atoms :   72 (   4 avg)
%            Number of connectives :  676 ( 198   ~; 207   |; 249   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  22 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    2 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,conjecture,
    ~ ( op(e0,e0) = op(e0,e0)
      & op(e0,e1) = op(e1,e0)
      & op(e0,e2) = op(e2,e0)
      & op(e0,e3) = op(e3,e0)
      & op(e0,e4) = op(e4,e0)
      & op(e0,e5) = op(e5,e0)
      & op(e1,e0) = op(e0,e1)
      & op(e1,e1) = op(e1,e1)
      & op(e1,e2) = op(e2,e1)
      & op(e1,e3) = op(e3,e1)
      & op(e1,e4) = op(e4,e1)
      & op(e1,e5) = op(e5,e1)
      & op(e2,e0) = op(e0,e2)
      & op(e2,e1) = op(e1,e2)
      & op(e2,e2) = op(e2,e2)
      & op(e2,e3) = op(e3,e2)
      & op(e2,e4) = op(e4,e2)
      & op(e2,e5) = op(e5,e2)
      & op(e3,e0) = op(e0,e3)
      & op(e3,e1) = op(e1,e3)
      & op(e3,e2) = op(e2,e3)
      & op(e3,e3) = op(e3,e3)
      & op(e3,e4) = op(e4,e3)
      & op(e3,e5) = op(e5,e3)
      & op(e4,e0) = op(e0,e4)
      & op(e4,e1) = op(e1,e4)
      & op(e4,e2) = op(e2,e4)
      & op(e4,e3) = op(e3,e4)
      & op(e4,e4) = op(e4,e4)
      & op(e4,e5) = op(e5,e4)
      & op(e5,e0) = op(e0,e5)
      & op(e5,e1) = op(e1,e5)
      & op(e5,e2) = op(e2,e5)
      & op(e5,e3) = op(e3,e5)
      & op(e5,e4) = op(e4,e5)
      & op(e5,e5) = op(e5,e5)
      & ~ ( op(e0,e0) = op(e0,e0)
          & op(e0,e1) = op(e1,e0)
          & op(e0,e2) = op(e2,e0)
          & op(e0,e3) = op(e3,e0)
          & op(e0,e4) = op(e4,e0)
          & op(e0,e5) = op(e5,e0)
          & op(e1,e0) = op(e0,e1)
          & op(e1,e1) = op(e1,e1)
          & op(e1,e2) = op(e2,e1)
          & op(e1,e3) = op(e3,e1)
          & op(e1,e4) = op(e4,e1)
          & op(e1,e5) = op(e5,e1)
          & op(e2,e0) = op(e0,e2)
          & op(e2,e1) = op(e1,e2)
          & op(e2,e2) = op(e2,e2)
          & op(e2,e3) = op(e3,e2)
          & op(e2,e4) = op(e4,e2)
          & op(e2,e5) = op(e5,e2)
          & op(e3,e0) = op(e0,e3)
          & op(e3,e1) = op(e1,e3)
          & op(e3,e2) = op(e2,e3)
          & op(e3,e3) = op(e3,e3)
          & op(e3,e4) = op(e4,e3)
          & op(e3,e5) = op(e5,e3)
          & op(e4,e0) = op(e0,e4)
          & op(e4,e1) = op(e1,e4)
          & op(e4,e2) = op(e2,e4)
          & op(e4,e3) = op(e3,e4)
          & op(e4,e4) = op(e4,e4)
          & op(e4,e5) = op(e5,e4)
          & op(e5,e0) = op(e0,e5)
          & op(e5,e1) = op(e1,e5)
          & op(e5,e2) = op(e2,e5)
          & op(e5,e3) = op(e3,e5)
          & op(e5,e4) = op(e4,e5)
          & op(e5,e5) = op(e5,e5) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f13,negated_conjecture,
    ~ ~ ( op(e0,e0) = op(e0,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e1,e0) = op(e0,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e5) = op(e5,e1)
        & op(e2,e0) = op(e0,e2)
        & op(e2,e1) = op(e1,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e5) = op(e5,e2)
        & op(e3,e0) = op(e0,e3)
        & op(e3,e1) = op(e1,e3)
        & op(e3,e2) = op(e2,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e5) = op(e5,e3)
        & op(e4,e0) = op(e0,e4)
        & op(e4,e1) = op(e1,e4)
        & op(e4,e2) = op(e2,e4)
        & op(e4,e3) = op(e3,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e4,e5) = op(e5,e4)
        & op(e5,e0) = op(e0,e5)
        & op(e5,e1) = op(e1,e5)
        & op(e5,e2) = op(e2,e5)
        & op(e5,e3) = op(e3,e5)
        & op(e5,e4) = op(e4,e5)
        & op(e5,e5) = op(e5,e5)
        & ~ ( op(e0,e0) = op(e0,e0)
            & op(e0,e1) = op(e1,e0)
            & op(e0,e2) = op(e2,e0)
            & op(e0,e3) = op(e3,e0)
            & op(e0,e4) = op(e4,e0)
            & op(e0,e5) = op(e5,e0)
            & op(e1,e0) = op(e0,e1)
            & op(e1,e1) = op(e1,e1)
            & op(e1,e2) = op(e2,e1)
            & op(e1,e3) = op(e3,e1)
            & op(e1,e4) = op(e4,e1)
            & op(e1,e5) = op(e5,e1)
            & op(e2,e0) = op(e0,e2)
            & op(e2,e1) = op(e1,e2)
            & op(e2,e2) = op(e2,e2)
            & op(e2,e3) = op(e3,e2)
            & op(e2,e4) = op(e4,e2)
            & op(e2,e5) = op(e5,e2)
            & op(e3,e0) = op(e0,e3)
            & op(e3,e1) = op(e1,e3)
            & op(e3,e2) = op(e2,e3)
            & op(e3,e3) = op(e3,e3)
            & op(e3,e4) = op(e4,e3)
            & op(e3,e5) = op(e5,e3)
            & op(e4,e0) = op(e0,e4)
            & op(e4,e1) = op(e1,e4)
            & op(e4,e2) = op(e2,e4)
            & op(e4,e3) = op(e3,e4)
            & op(e4,e4) = op(e4,e4)
            & op(e4,e5) = op(e5,e4)
            & op(e5,e0) = op(e0,e5)
            & op(e5,e1) = op(e1,e5)
            & op(e5,e2) = op(e2,e5)
            & op(e5,e3) = op(e3,e5)
            & op(e5,e4) = op(e4,e5)
            & op(e5,e5) = op(e5,e5) ) ),
    inference(negated_conjecture,[status(cth)],[f12]) ).

fof(f14,plain,
    ( op(e0,e0) = op(e0,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e0) = op(e0,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e5) = op(e5,e1)
    & op(e2,e0) = op(e0,e2)
    & op(e2,e1) = op(e1,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e5) = op(e5,e2)
    & op(e3,e0) = op(e0,e3)
    & op(e3,e1) = op(e1,e3)
    & op(e3,e2) = op(e2,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e5) = op(e5,e3)
    & op(e4,e0) = op(e0,e4)
    & op(e4,e1) = op(e1,e4)
    & op(e4,e2) = op(e2,e4)
    & op(e4,e3) = op(e3,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e4,e5) = op(e5,e4)
    & op(e5,e0) = op(e0,e5)
    & op(e5,e1) = op(e1,e5)
    & op(e5,e2) = op(e2,e5)
    & op(e5,e3) = op(e3,e5)
    & op(e5,e4) = op(e4,e5)
    & op(e5,e5) = op(e5,e5)
    & ~ ( op(e0,e0) = op(e0,e0)
        & op(e0,e1) = op(e1,e0)
        & op(e0,e2) = op(e2,e0)
        & op(e0,e3) = op(e3,e0)
        & op(e0,e4) = op(e4,e0)
        & op(e0,e5) = op(e5,e0)
        & op(e1,e0) = op(e0,e1)
        & op(e1,e1) = op(e1,e1)
        & op(e1,e2) = op(e2,e1)
        & op(e1,e3) = op(e3,e1)
        & op(e1,e4) = op(e4,e1)
        & op(e1,e5) = op(e5,e1)
        & op(e2,e0) = op(e0,e2)
        & op(e2,e1) = op(e1,e2)
        & op(e2,e2) = op(e2,e2)
        & op(e2,e3) = op(e3,e2)
        & op(e2,e4) = op(e4,e2)
        & op(e2,e5) = op(e5,e2)
        & op(e3,e0) = op(e0,e3)
        & op(e3,e1) = op(e1,e3)
        & op(e3,e2) = op(e2,e3)
        & op(e3,e3) = op(e3,e3)
        & op(e3,e4) = op(e4,e3)
        & op(e3,e5) = op(e5,e3)
        & op(e4,e0) = op(e0,e4)
        & op(e4,e1) = op(e1,e4)
        & op(e4,e2) = op(e2,e4)
        & op(e4,e3) = op(e3,e4)
        & op(e4,e4) = op(e4,e4)
        & op(e4,e5) = op(e5,e4)
        & op(e5,e0) = op(e0,e5)
        & op(e5,e1) = op(e1,e5)
        & op(e5,e2) = op(e2,e5)
        & op(e5,e3) = op(e3,e5)
        & op(e5,e4) = op(e4,e5)
        & op(e5,e5) = op(e5,e5) ) ),
    inference(flattening,[],[f13]) ).

fof(f16,plain,
    ( op(e0,e0) = op(e0,e0)
    & op(e0,e1) = op(e1,e0)
    & op(e0,e2) = op(e2,e0)
    & op(e0,e3) = op(e3,e0)
    & op(e0,e4) = op(e4,e0)
    & op(e0,e5) = op(e5,e0)
    & op(e1,e0) = op(e0,e1)
    & op(e1,e1) = op(e1,e1)
    & op(e1,e2) = op(e2,e1)
    & op(e1,e3) = op(e3,e1)
    & op(e1,e4) = op(e4,e1)
    & op(e1,e5) = op(e5,e1)
    & op(e2,e0) = op(e0,e2)
    & op(e2,e1) = op(e1,e2)
    & op(e2,e2) = op(e2,e2)
    & op(e2,e3) = op(e3,e2)
    & op(e2,e4) = op(e4,e2)
    & op(e2,e5) = op(e5,e2)
    & op(e3,e0) = op(e0,e3)
    & op(e3,e1) = op(e1,e3)
    & op(e3,e2) = op(e2,e3)
    & op(e3,e3) = op(e3,e3)
    & op(e3,e4) = op(e4,e3)
    & op(e3,e5) = op(e5,e3)
    & op(e4,e0) = op(e0,e4)
    & op(e4,e1) = op(e1,e4)
    & op(e4,e2) = op(e2,e4)
    & op(e4,e3) = op(e3,e4)
    & op(e4,e4) = op(e4,e4)
    & op(e4,e5) = op(e5,e4)
    & op(e5,e0) = op(e0,e5)
    & op(e5,e1) = op(e1,e5)
    & op(e5,e2) = op(e2,e5)
    & op(e5,e3) = op(e3,e5)
    & op(e5,e4) = op(e4,e5)
    & op(e5,e5) = op(e5,e5)
    & ( op(e0,e0) != op(e0,e0)
      | op(e0,e1) != op(e1,e0)
      | op(e0,e2) != op(e2,e0)
      | op(e0,e3) != op(e3,e0)
      | op(e0,e4) != op(e4,e0)
      | op(e0,e5) != op(e5,e0)
      | op(e0,e1) != op(e1,e0)
      | op(e1,e1) != op(e1,e1)
      | op(e1,e2) != op(e2,e1)
      | op(e1,e3) != op(e3,e1)
      | op(e1,e4) != op(e4,e1)
      | op(e1,e5) != op(e5,e1)
      | op(e0,e2) != op(e2,e0)
      | op(e1,e2) != op(e2,e1)
      | op(e2,e2) != op(e2,e2)
      | op(e2,e3) != op(e3,e2)
      | op(e2,e4) != op(e4,e2)
      | op(e2,e5) != op(e5,e2)
      | op(e0,e3) != op(e3,e0)
      | op(e1,e3) != op(e3,e1)
      | op(e2,e3) != op(e3,e2)
      | op(e3,e3) != op(e3,e3)
      | op(e3,e4) != op(e4,e3)
      | op(e3,e5) != op(e5,e3)
      | op(e0,e4) != op(e4,e0)
      | op(e1,e4) != op(e4,e1)
      | op(e2,e4) != op(e4,e2)
      | op(e3,e4) != op(e4,e3)
      | op(e4,e4) != op(e4,e4)
      | op(e4,e5) != op(e5,e4)
      | op(e0,e5) != op(e5,e0)
      | op(e1,e5) != op(e5,e1)
      | op(e2,e5) != op(e5,e2)
      | op(e3,e5) != op(e5,e3)
      | op(e4,e5) != op(e5,e4)
      | op(e5,e5) != op(e5,e5) ) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f558,plain,
    ( op(e0,e0) != op(e0,e0)
    | op(e0,e1) != op(e1,e0)
    | op(e0,e2) != op(e2,e0)
    | op(e0,e3) != op(e3,e0)
    | op(e0,e4) != op(e4,e0)
    | op(e0,e5) != op(e5,e0)
    | op(e0,e1) != op(e1,e0)
    | op(e1,e1) != op(e1,e1)
    | op(e1,e2) != op(e2,e1)
    | op(e1,e3) != op(e3,e1)
    | op(e1,e4) != op(e4,e1)
    | op(e1,e5) != op(e5,e1)
    | op(e0,e2) != op(e2,e0)
    | op(e1,e2) != op(e2,e1)
    | op(e2,e2) != op(e2,e2)
    | op(e2,e3) != op(e3,e2)
    | op(e2,e4) != op(e4,e2)
    | op(e2,e5) != op(e5,e2)
    | op(e0,e3) != op(e3,e0)
    | op(e1,e3) != op(e3,e1)
    | op(e2,e3) != op(e3,e2)
    | op(e3,e3) != op(e3,e3)
    | op(e3,e4) != op(e4,e3)
    | op(e3,e5) != op(e5,e3)
    | op(e0,e4) != op(e4,e0)
    | op(e1,e4) != op(e4,e1)
    | op(e2,e4) != op(e4,e2)
    | op(e3,e4) != op(e4,e3)
    | op(e4,e4) != op(e4,e4)
    | op(e4,e5) != op(e5,e4)
    | op(e0,e5) != op(e5,e0)
    | op(e1,e5) != op(e5,e1)
    | op(e2,e5) != op(e5,e2)
    | op(e3,e5) != op(e5,e3)
    | op(e4,e5) != op(e5,e4)
    | op(e5,e5) != op(e5,e5) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f559,plain,
    op(e5,e5) = op(e5,e5),
    inference(cnf_transformation,[],[f16]) ).

fof(f565,plain,
    op(e4,e5) = op(e5,e4),
    inference(cnf_transformation,[],[f16]) ).

fof(f566,plain,
    op(e4,e4) = op(e4,e4),
    inference(cnf_transformation,[],[f16]) ).

fof(f571,plain,
    op(e3,e5) = op(e5,e3),
    inference(cnf_transformation,[],[f16]) ).

fof(f572,plain,
    op(e3,e4) = op(e4,e3),
    inference(cnf_transformation,[],[f16]) ).

fof(f573,plain,
    op(e3,e3) = op(e3,e3),
    inference(cnf_transformation,[],[f16]) ).

fof(f577,plain,
    op(e2,e5) = op(e5,e2),
    inference(cnf_transformation,[],[f16]) ).

fof(f578,plain,
    op(e2,e4) = op(e4,e2),
    inference(cnf_transformation,[],[f16]) ).

fof(f579,plain,
    op(e2,e3) = op(e3,e2),
    inference(cnf_transformation,[],[f16]) ).

fof(f580,plain,
    op(e2,e2) = op(e2,e2),
    inference(cnf_transformation,[],[f16]) ).

fof(f583,plain,
    op(e1,e5) = op(e5,e1),
    inference(cnf_transformation,[],[f16]) ).

fof(f584,plain,
    op(e1,e4) = op(e4,e1),
    inference(cnf_transformation,[],[f16]) ).

fof(f585,plain,
    op(e1,e3) = op(e3,e1),
    inference(cnf_transformation,[],[f16]) ).

fof(f586,plain,
    op(e1,e2) = op(e2,e1),
    inference(cnf_transformation,[],[f16]) ).

fof(f587,plain,
    op(e1,e1) = op(e1,e1),
    inference(cnf_transformation,[],[f16]) ).

fof(f589,plain,
    op(e0,e5) = op(e5,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f590,plain,
    op(e0,e4) = op(e4,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f591,plain,
    op(e0,e3) = op(e3,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f592,plain,
    op(e0,e2) = op(e2,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f593,plain,
    op(e0,e1) = op(e1,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f594,plain,
    op(e0,e0) = op(e0,e0),
    inference(cnf_transformation,[],[f16]) ).

fof(f595,definition,
    ! [X0,X1] :
      ( sQ0_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(definition,[new_symbols(definition,[sQ0_eqProxy])],[equality_proxy_definition]) ).

fof(f1137,plain,
    sQ0_eqProxy(op(e0,e0),op(e0,e0)),
    inference(equality_proxy_replacement,[],[f594,f595]) ).

fof(f1138,plain,
    sQ0_eqProxy(op(e0,e1),op(e1,e0)),
    inference(equality_proxy_replacement,[],[f593,f595]) ).

fof(f1139,plain,
    sQ0_eqProxy(op(e0,e2),op(e2,e0)),
    inference(equality_proxy_replacement,[],[f592,f595]) ).

fof(f1140,plain,
    sQ0_eqProxy(op(e0,e3),op(e3,e0)),
    inference(equality_proxy_replacement,[],[f591,f595]) ).

fof(f1141,plain,
    sQ0_eqProxy(op(e0,e4),op(e4,e0)),
    inference(equality_proxy_replacement,[],[f590,f595]) ).

fof(f1142,plain,
    sQ0_eqProxy(op(e0,e5),op(e5,e0)),
    inference(equality_proxy_replacement,[],[f589,f595]) ).

fof(f1144,plain,
    sQ0_eqProxy(op(e1,e1),op(e1,e1)),
    inference(equality_proxy_replacement,[],[f587,f595]) ).

fof(f1145,plain,
    sQ0_eqProxy(op(e1,e2),op(e2,e1)),
    inference(equality_proxy_replacement,[],[f586,f595]) ).

fof(f1146,plain,
    sQ0_eqProxy(op(e1,e3),op(e3,e1)),
    inference(equality_proxy_replacement,[],[f585,f595]) ).

fof(f1147,plain,
    sQ0_eqProxy(op(e1,e4),op(e4,e1)),
    inference(equality_proxy_replacement,[],[f584,f595]) ).

fof(f1148,plain,
    sQ0_eqProxy(op(e1,e5),op(e5,e1)),
    inference(equality_proxy_replacement,[],[f583,f595]) ).

fof(f1151,plain,
    sQ0_eqProxy(op(e2,e2),op(e2,e2)),
    inference(equality_proxy_replacement,[],[f580,f595]) ).

fof(f1152,plain,
    sQ0_eqProxy(op(e2,e3),op(e3,e2)),
    inference(equality_proxy_replacement,[],[f579,f595]) ).

fof(f1153,plain,
    sQ0_eqProxy(op(e2,e4),op(e4,e2)),
    inference(equality_proxy_replacement,[],[f578,f595]) ).

fof(f1154,plain,
    sQ0_eqProxy(op(e2,e5),op(e5,e2)),
    inference(equality_proxy_replacement,[],[f577,f595]) ).

fof(f1158,plain,
    sQ0_eqProxy(op(e3,e3),op(e3,e3)),
    inference(equality_proxy_replacement,[],[f573,f595]) ).

fof(f1159,plain,
    sQ0_eqProxy(op(e3,e4),op(e4,e3)),
    inference(equality_proxy_replacement,[],[f572,f595]) ).

fof(f1160,plain,
    sQ0_eqProxy(op(e3,e5),op(e5,e3)),
    inference(equality_proxy_replacement,[],[f571,f595]) ).

fof(f1165,plain,
    sQ0_eqProxy(op(e4,e4),op(e4,e4)),
    inference(equality_proxy_replacement,[],[f566,f595]) ).

fof(f1166,plain,
    sQ0_eqProxy(op(e4,e5),op(e5,e4)),
    inference(equality_proxy_replacement,[],[f565,f595]) ).

fof(f1172,plain,
    sQ0_eqProxy(op(e5,e5),op(e5,e5)),
    inference(equality_proxy_replacement,[],[f559,f595]) ).

fof(f1173,plain,
    ( ~ sQ0_eqProxy(op(e0,e0),op(e0,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e5,e5),op(e5,e5)) ),
    inference(equality_proxy_replacement,[],[f558,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595,f595]) ).

fof(f1176,plain,
    ( ~ sQ0_eqProxy(op(e0,e0),op(e0,e0))
    | ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | ~ sQ0_eqProxy(op(e5,e5),op(e5,e5)) ),
    inference(duplicate_literal_removal,[],[f1173]) ).

fof(f1178,definition,
    ( spl1_1
  <=> sQ0_eqProxy(op(e5,e5),op(e5,e5)) ),
    introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).

fof(f1179,plain,
    ( ~ sQ0_eqProxy(op(e5,e5),op(e5,e5))
    | spl1_1 ),
    inference(avatar_component_clause,[],[f1178]) ).

fof(f1181,definition,
    ( spl1_2
  <=> sQ0_eqProxy(op(e4,e5),op(e5,e4)) ),
    introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).

fof(f1182,plain,
    ( ~ sQ0_eqProxy(op(e4,e5),op(e5,e4))
    | spl1_2 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1184,definition,
    ( spl1_3
  <=> sQ0_eqProxy(op(e4,e4),op(e4,e4)) ),
    introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).

fof(f1185,plain,
    ( ~ sQ0_eqProxy(op(e4,e4),op(e4,e4))
    | spl1_3 ),
    inference(avatar_component_clause,[],[f1184]) ).

fof(f1187,definition,
    ( spl1_4
  <=> sQ0_eqProxy(op(e3,e5),op(e5,e3)) ),
    introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).

fof(f1188,plain,
    ( ~ sQ0_eqProxy(op(e3,e5),op(e5,e3))
    | spl1_4 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1190,definition,
    ( spl1_5
  <=> sQ0_eqProxy(op(e3,e4),op(e4,e3)) ),
    introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).

fof(f1191,plain,
    ( ~ sQ0_eqProxy(op(e3,e4),op(e4,e3))
    | spl1_5 ),
    inference(avatar_component_clause,[],[f1190]) ).

fof(f1193,definition,
    ( spl1_6
  <=> sQ0_eqProxy(op(e3,e3),op(e3,e3)) ),
    introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).

fof(f1194,plain,
    ( ~ sQ0_eqProxy(op(e3,e3),op(e3,e3))
    | spl1_6 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1196,definition,
    ( spl1_7
  <=> sQ0_eqProxy(op(e2,e5),op(e5,e2)) ),
    introduced(definition,[new_symbols(definition,[spl1_7])],[avatar_definition]) ).

fof(f1197,plain,
    ( ~ sQ0_eqProxy(op(e2,e5),op(e5,e2))
    | spl1_7 ),
    inference(avatar_component_clause,[],[f1196]) ).

fof(f1199,definition,
    ( spl1_8
  <=> sQ0_eqProxy(op(e2,e4),op(e4,e2)) ),
    introduced(definition,[new_symbols(definition,[spl1_8])],[avatar_definition]) ).

fof(f1200,plain,
    ( ~ sQ0_eqProxy(op(e2,e4),op(e4,e2))
    | spl1_8 ),
    inference(avatar_component_clause,[],[f1199]) ).

fof(f1202,definition,
    ( spl1_9
  <=> sQ0_eqProxy(op(e2,e3),op(e3,e2)) ),
    introduced(definition,[new_symbols(definition,[spl1_9])],[avatar_definition]) ).

fof(f1203,plain,
    ( ~ sQ0_eqProxy(op(e2,e3),op(e3,e2))
    | spl1_9 ),
    inference(avatar_component_clause,[],[f1202]) ).

fof(f1205,definition,
    ( spl1_10
  <=> sQ0_eqProxy(op(e2,e2),op(e2,e2)) ),
    introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).

fof(f1206,plain,
    ( ~ sQ0_eqProxy(op(e2,e2),op(e2,e2))
    | spl1_10 ),
    inference(avatar_component_clause,[],[f1205]) ).

fof(f1208,definition,
    ( spl1_11
  <=> sQ0_eqProxy(op(e1,e5),op(e5,e1)) ),
    introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).

fof(f1209,plain,
    ( ~ sQ0_eqProxy(op(e1,e5),op(e5,e1))
    | spl1_11 ),
    inference(avatar_component_clause,[],[f1208]) ).

fof(f1211,definition,
    ( spl1_12
  <=> sQ0_eqProxy(op(e1,e4),op(e4,e1)) ),
    introduced(definition,[new_symbols(definition,[spl1_12])],[avatar_definition]) ).

fof(f1212,plain,
    ( ~ sQ0_eqProxy(op(e1,e4),op(e4,e1))
    | spl1_12 ),
    inference(avatar_component_clause,[],[f1211]) ).

fof(f1214,definition,
    ( spl1_13
  <=> sQ0_eqProxy(op(e1,e3),op(e3,e1)) ),
    introduced(definition,[new_symbols(definition,[spl1_13])],[avatar_definition]) ).

fof(f1215,plain,
    ( ~ sQ0_eqProxy(op(e1,e3),op(e3,e1))
    | spl1_13 ),
    inference(avatar_component_clause,[],[f1214]) ).

fof(f1217,definition,
    ( spl1_14
  <=> sQ0_eqProxy(op(e1,e2),op(e2,e1)) ),
    introduced(definition,[new_symbols(definition,[spl1_14])],[avatar_definition]) ).

fof(f1218,plain,
    ( ~ sQ0_eqProxy(op(e1,e2),op(e2,e1))
    | spl1_14 ),
    inference(avatar_component_clause,[],[f1217]) ).

fof(f1220,definition,
    ( spl1_15
  <=> sQ0_eqProxy(op(e1,e1),op(e1,e1)) ),
    introduced(definition,[new_symbols(definition,[spl1_15])],[avatar_definition]) ).

fof(f1221,plain,
    ( ~ sQ0_eqProxy(op(e1,e1),op(e1,e1))
    | spl1_15 ),
    inference(avatar_component_clause,[],[f1220]) ).

fof(f1223,definition,
    ( spl1_16
  <=> sQ0_eqProxy(op(e0,e5),op(e5,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_16])],[avatar_definition]) ).

fof(f1224,plain,
    ( ~ sQ0_eqProxy(op(e0,e5),op(e5,e0))
    | spl1_16 ),
    inference(avatar_component_clause,[],[f1223]) ).

fof(f1226,definition,
    ( spl1_17
  <=> sQ0_eqProxy(op(e0,e4),op(e4,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).

fof(f1227,plain,
    ( ~ sQ0_eqProxy(op(e0,e4),op(e4,e0))
    | spl1_17 ),
    inference(avatar_component_clause,[],[f1226]) ).

fof(f1229,definition,
    ( spl1_18
  <=> sQ0_eqProxy(op(e0,e3),op(e3,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_18])],[avatar_definition]) ).

fof(f1230,plain,
    ( ~ sQ0_eqProxy(op(e0,e3),op(e3,e0))
    | spl1_18 ),
    inference(avatar_component_clause,[],[f1229]) ).

fof(f1232,definition,
    ( spl1_19
  <=> sQ0_eqProxy(op(e0,e2),op(e2,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_19])],[avatar_definition]) ).

fof(f1233,plain,
    ( ~ sQ0_eqProxy(op(e0,e2),op(e2,e0))
    | spl1_19 ),
    inference(avatar_component_clause,[],[f1232]) ).

fof(f1235,definition,
    ( spl1_20
  <=> sQ0_eqProxy(op(e0,e1),op(e1,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_20])],[avatar_definition]) ).

fof(f1236,plain,
    ( ~ sQ0_eqProxy(op(e0,e1),op(e1,e0))
    | spl1_20 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1238,definition,
    ( spl1_21
  <=> sQ0_eqProxy(op(e0,e0),op(e0,e0)) ),
    introduced(definition,[new_symbols(definition,[spl1_21])],[avatar_definition]) ).

fof(f1239,plain,
    ( ~ sQ0_eqProxy(op(e0,e0),op(e0,e0))
    | spl1_21 ),
    inference(avatar_component_clause,[],[f1238]) ).

fof(f1240,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_10
    | ~ spl1_11
    | ~ spl1_12
    | ~ spl1_13
    | ~ spl1_14
    | ~ spl1_15
    | ~ spl1_16
    | ~ spl1_17
    | ~ spl1_18
    | ~ spl1_19
    | ~ spl1_20
    | ~ spl1_21 ),
    inference(avatar_split_clause,[],[f1176,f1238,f1235,f1232,f1229,f1226,f1223,f1220,f1217,f1214,f1211,f1208,f1205,f1202,f1199,f1196,f1193,f1190,f1187,f1184,f1181,f1178]) ).

fof(f2118,plain,
    ( $false
    | spl1_15 ),
    inference(resolution,[],[f1144,f1221]) ).

fof(f2119,plain,
    spl1_15,
    inference(avatar_contradiction_clause,[],[f2118]) ).

fof(f2120,plain,
    ( $false
    | spl1_1 ),
    inference(resolution,[],[f1172,f1179]) ).

fof(f2121,plain,
    spl1_1,
    inference(avatar_contradiction_clause,[],[f2120]) ).

fof(f2122,plain,
    ( $false
    | spl1_2 ),
    inference(resolution,[],[f1182,f1166]) ).

fof(f2123,plain,
    spl1_2,
    inference(avatar_contradiction_clause,[],[f2122]) ).

fof(f2124,plain,
    ( $false
    | spl1_3 ),
    inference(resolution,[],[f1185,f1165]) ).

fof(f2125,plain,
    spl1_3,
    inference(avatar_contradiction_clause,[],[f2124]) ).

fof(f2126,plain,
    ( $false
    | spl1_4 ),
    inference(resolution,[],[f1188,f1160]) ).

fof(f2127,plain,
    spl1_4,
    inference(avatar_contradiction_clause,[],[f2126]) ).

fof(f2128,plain,
    ( $false
    | spl1_5 ),
    inference(resolution,[],[f1191,f1159]) ).

fof(f2129,plain,
    spl1_5,
    inference(avatar_contradiction_clause,[],[f2128]) ).

fof(f2130,plain,
    ( $false
    | spl1_6 ),
    inference(resolution,[],[f1194,f1158]) ).

fof(f2131,plain,
    spl1_6,
    inference(avatar_contradiction_clause,[],[f2130]) ).

fof(f2132,plain,
    ( $false
    | spl1_7 ),
    inference(resolution,[],[f1197,f1154]) ).

fof(f2133,plain,
    spl1_7,
    inference(avatar_contradiction_clause,[],[f2132]) ).

fof(f2134,plain,
    ( $false
    | spl1_8 ),
    inference(resolution,[],[f1200,f1153]) ).

fof(f2135,plain,
    spl1_8,
    inference(avatar_contradiction_clause,[],[f2134]) ).

fof(f2136,plain,
    ( $false
    | spl1_9 ),
    inference(resolution,[],[f1203,f1152]) ).

fof(f2137,plain,
    spl1_9,
    inference(avatar_contradiction_clause,[],[f2136]) ).

fof(f2138,plain,
    ( $false
    | spl1_10 ),
    inference(resolution,[],[f1206,f1151]) ).

fof(f2139,plain,
    spl1_10,
    inference(avatar_contradiction_clause,[],[f2138]) ).

fof(f2140,plain,
    ( $false
    | spl1_11 ),
    inference(resolution,[],[f1209,f1148]) ).

fof(f2141,plain,
    spl1_11,
    inference(avatar_contradiction_clause,[],[f2140]) ).

fof(f2142,plain,
    ( $false
    | spl1_12 ),
    inference(resolution,[],[f1212,f1147]) ).

fof(f2143,plain,
    spl1_12,
    inference(avatar_contradiction_clause,[],[f2142]) ).

fof(f2144,plain,
    ( $false
    | spl1_13 ),
    inference(resolution,[],[f1215,f1146]) ).

fof(f2145,plain,
    spl1_13,
    inference(avatar_contradiction_clause,[],[f2144]) ).

fof(f2146,plain,
    ( $false
    | spl1_14 ),
    inference(resolution,[],[f1218,f1145]) ).

fof(f2147,plain,
    spl1_14,
    inference(avatar_contradiction_clause,[],[f2146]) ).

fof(f2148,plain,
    ( $false
    | spl1_16 ),
    inference(resolution,[],[f1224,f1142]) ).

fof(f2149,plain,
    spl1_16,
    inference(avatar_contradiction_clause,[],[f2148]) ).

fof(f2150,plain,
    ( $false
    | spl1_17 ),
    inference(resolution,[],[f1227,f1141]) ).

fof(f2151,plain,
    spl1_17,
    inference(avatar_contradiction_clause,[],[f2150]) ).

fof(f2152,plain,
    ( $false
    | spl1_18 ),
    inference(resolution,[],[f1230,f1140]) ).

fof(f2153,plain,
    spl1_18,
    inference(avatar_contradiction_clause,[],[f2152]) ).

fof(f2154,plain,
    ( $false
    | spl1_19 ),
    inference(resolution,[],[f1233,f1139]) ).

fof(f2155,plain,
    spl1_19,
    inference(avatar_contradiction_clause,[],[f2154]) ).

fof(f2156,plain,
    ( $false
    | spl1_20 ),
    inference(resolution,[],[f1236,f1138]) ).

fof(f2157,plain,
    spl1_20,
    inference(avatar_contradiction_clause,[],[f2156]) ).

fof(f2158,plain,
    ( $false
    | spl1_21 ),
    inference(resolution,[],[f1239,f1137]) ).

fof(f2159,plain,
    spl1_21,
    inference(avatar_contradiction_clause,[],[f2158]) ).

cnf(s1,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_5
    | ~ spl1_6
    | ~ spl1_7
    | ~ spl1_8
    | ~ spl1_9
    | ~ spl1_10
    | ~ spl1_11
    | ~ spl1_12
    | ~ spl1_13
    | ~ spl1_14
    | ~ spl1_15
    | ~ spl1_16
    | ~ spl1_17
    | ~ spl1_18
    | ~ spl1_19
    | ~ spl1_20
    | ~ spl1_21 ),
    inference(sat_conversion,[],[f1240]) ).

cnf(s75,plain,
    spl1_15,
    inference(sat_conversion,[],[f2119]) ).

cnf(s76,plain,
    spl1_1,
    inference(sat_conversion,[],[f2121]) ).

cnf(s77,plain,
    spl1_2,
    inference(sat_conversion,[],[f2123]) ).

cnf(s78,plain,
    spl1_3,
    inference(sat_conversion,[],[f2125]) ).

cnf(s79,plain,
    spl1_4,
    inference(sat_conversion,[],[f2127]) ).

cnf(s80,plain,
    spl1_5,
    inference(sat_conversion,[],[f2129]) ).

cnf(s81,plain,
    spl1_6,
    inference(sat_conversion,[],[f2131]) ).

cnf(s82,plain,
    spl1_7,
    inference(sat_conversion,[],[f2133]) ).

cnf(s83,plain,
    spl1_8,
    inference(sat_conversion,[],[f2135]) ).

cnf(s84,plain,
    spl1_9,
    inference(sat_conversion,[],[f2137]) ).

cnf(s85,plain,
    spl1_10,
    inference(sat_conversion,[],[f2139]) ).

cnf(s86,plain,
    spl1_11,
    inference(sat_conversion,[],[f2141]) ).

cnf(s87,plain,
    spl1_12,
    inference(sat_conversion,[],[f2143]) ).

cnf(s88,plain,
    spl1_13,
    inference(sat_conversion,[],[f2145]) ).

cnf(s89,plain,
    spl1_14,
    inference(sat_conversion,[],[f2147]) ).

cnf(s90,plain,
    spl1_16,
    inference(sat_conversion,[],[f2149]) ).

cnf(s91,plain,
    spl1_17,
    inference(sat_conversion,[],[f2151]) ).

cnf(s92,plain,
    spl1_18,
    inference(sat_conversion,[],[f2153]) ).

cnf(s93,plain,
    spl1_19,
    inference(sat_conversion,[],[f2155]) ).

cnf(s94,plain,
    spl1_20,
    inference(sat_conversion,[],[f2157]) ).

cnf(s95,plain,
    spl1_21,
    inference(sat_conversion,[],[f2159]) ).

cnf(s96,plain,
    $false,
    inference(rat,[],[s1,s95,s94,s93,s92,s91,s90,s75,s89,s88,s87,s86,s85,s84,s83,s82,s81,s80,s79,s78,s77,s76]) ).

fof(f2160,plain,
    $false,
    inference(avatar_sat_refutation,[],[s96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : ALG028+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n003.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 19:20:58 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22  Running first-order theorem proving
% 0.08/0.22  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
% 0.63/0.71  % (1896532)Detected formulas, will run a generic FOF schedule.
% 0.63/0.71  % (1896543)dis-21_1_sil=8000:lcm=predicate:random_seed=3900931343: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)
% 0.63/0.71  % (1896543)First to succeed.
% 0.63/0.71  % (1896543)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1896532"
% 0.63/0.71  % (1896539)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=867744451:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.63/0.71  % (1896540)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1378651168:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.63/0.71  % (1896538)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=826046532:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.63/0.71  % (1896537)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=1662489967:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.63/0.71  % (1896541)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2747463814:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.63/0.71  % (1896541)Also succeeded, but the first one will report.
% 0.63/0.71  % (1896542)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3669240545:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.63/0.71  % (1896542)Also succeeded, but the first one will report.
% 0.63/0.71  % (1896540)Also succeeded, but the first one will report.
% 0.63/0.71  % (1896543)Refutation found. Thanks to Tanya!
% 0.63/0.71  % SZS status Theorem for theBenchmark
% 0.63/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.90  % (1896543)------------------------------
% 0.18/0.90  % (1896543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/0.90  % (1896543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.90  % (1896543)CaDiCaL version: 2.1.3
% 0.18/0.90  % (1896543)Termination reason: Refutation
% 0.18/0.90  % (1896543)Time elapsed: 0.009 s
% 0.18/0.90  % (1896543)Peak memory usage: 90 MB
% 0.18/0.90  % (1896543)Instructions burned: 34 (million)
% 0.18/0.90  % (1896543)------------------------------
% 0.18/0.90  % (1896543)------------------------------
% 0.18/0.90  % (1896532)Success in time 0.286 s
% 0.18/0.90  % Vampire exiting
%------------------------------------------------------------------------------