TSTP Solution File: SWV205+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:55:48 EDT 2022

% Result   : Theorem 1.55s 0.58s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   62 (  17 unt;   0 def)
%            Number of atoms       :  411 ( 273 equ)
%            Maximal formula atoms :   40 (   6 avg)
%            Number of connectives :  440 (  91   ~;  94   |; 234   &)
%                                         (   7 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   8 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   39 (  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1368,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1204,f1230,f1231,f1253,f1277,f1293,f1317,f1367]) ).

fof(f1367,plain,
    ~ spl32_1,
    inference(avatar_contradiction_clause,[],[f1366]) ).

fof(f1366,plain,
    ( $false
    | ~ spl32_1 ),
    inference(trivial_inequality_removal,[],[f1365]) ).

fof(f1365,plain,
    ( use != use
    | ~ spl32_1 ),
    inference(forward_demodulation,[],[f1364,f425]) ).

fof(f425,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f250]) ).

fof(f250,plain,
    ( use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(sigma_defuse,n2)
    & ! [X0,X1] :
        ( ~ leq(X1,n2)
        | use = a_select3(z_defuse,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(X0,n998)
        | ~ leq(n0,X1) )
    & use = a_select2(xinit_defuse,n4)
    & ! [X2,X3] :
        ( ~ leq(n0,X2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X3)
        | use = a_select3(u_defuse,X2,X3)
        | ~ leq(X2,n2) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & leq(n0,sK31)
    & use != a_select2(sigma_defuse,sK31)
    & leq(sK31,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f248,f249]) ).

fof(f249,plain,
    ( ? [X4] :
        ( leq(n0,X4)
        & use != a_select2(sigma_defuse,X4)
        & leq(X4,n5) )
   => ( leq(n0,sK31)
      & use != a_select2(sigma_defuse,sK31)
      & leq(sK31,n5) ) ),
    introduced(choice_axiom,[]) ).

fof(f248,plain,
    ( use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(sigma_defuse,n2)
    & ! [X0,X1] :
        ( ~ leq(X1,n2)
        | use = a_select3(z_defuse,X1,X0)
        | ~ leq(n0,X0)
        | ~ leq(X0,n998)
        | ~ leq(n0,X1) )
    & use = a_select2(xinit_defuse,n4)
    & ! [X2,X3] :
        ( ~ leq(n0,X2)
        | ~ leq(X3,n998)
        | ~ leq(n0,X3)
        | use = a_select3(u_defuse,X2,X3)
        | ~ leq(X2,n2) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & ? [X4] :
        ( leq(n0,X4)
        & use != a_select2(sigma_defuse,X4)
        & leq(X4,n5) )
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n3) ),
    inference(rectify,[],[f148]) ).

fof(f148,plain,
    ( use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(sigma_defuse,n2)
    & ! [X1,X0] :
        ( ~ leq(X0,n2)
        | use = a_select3(z_defuse,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(X1,n998)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_defuse,n4)
    & ! [X3,X2] :
        ( ~ leq(n0,X3)
        | ~ leq(X2,n998)
        | ~ leq(n0,X2)
        | use = a_select3(u_defuse,X3,X2)
        | ~ leq(X3,n2) )
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & ? [X4] :
        ( leq(n0,X4)
        & use != a_select2(sigma_defuse,X4)
        & leq(X4,n5) )
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n3) ),
    inference(flattening,[],[f147]) ).

fof(f147,plain,
    ( ? [X4] :
        ( use != a_select2(sigma_defuse,X4)
        & leq(n0,X4)
        & leq(X4,n5) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n0)
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X3,X2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X3,n2)
        | ~ leq(X2,n998) )
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_noise_defuse,n0)
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(n0,X0)
        | ~ leq(X1,n998) )
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n3) ),
    inference(ennf_transformation,[],[f111]) ).

fof(f111,plain,
    ~ ( ( use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n0)
        & ! [X2,X3] :
            ( ( leq(n0,X2)
              & leq(n0,X3)
              & leq(X3,n2)
              & leq(X2,n998) )
           => use = a_select3(u_defuse,X3,X2) )
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_noise_defuse,n0)
        & ! [X0,X1] :
            ( ( leq(n0,X1)
              & leq(X0,n2)
              & leq(n0,X0)
              & leq(X1,n998) )
           => use = a_select3(z_defuse,X0,X1) )
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n3) )
     => ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n5) )
         => use = a_select2(sigma_defuse,X4) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(sigma_defuse,n5)
        & ! [X3,X19] :
            ( ( leq(X3,n2)
              & leq(n0,X19)
              & leq(X19,n998)
              & leq(n0,X3) )
           => use = a_select3(z_defuse,X3,X19) )
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & ! [X17,X13] :
            ( ( leq(n0,X13)
              & leq(X13,n2)
              & leq(X17,n998)
              & leq(n0,X17) )
           => use = a_select3(u_defuse,X13,X17) )
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n5) )
     => ! [X20] :
          ( ( leq(X20,n5)
            & leq(n0,X20) )
         => use = a_select2(sigma_defuse,X20) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(sigma_defuse,n5)
      & ! [X3,X19] :
          ( ( leq(X3,n2)
            & leq(n0,X19)
            & leq(X19,n998)
            & leq(n0,X3) )
         => use = a_select3(z_defuse,X3,X19) )
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & ! [X17,X13] :
          ( ( leq(n0,X13)
            & leq(X13,n2)
            & leq(X17,n998)
            & leq(n0,X17) )
         => use = a_select3(u_defuse,X13,X17) )
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(rho_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n5) )
   => ! [X20] :
        ( ( leq(X20,n5)
          & leq(n0,X20) )
       => use = a_select2(sigma_defuse,X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).

fof(f1364,plain,
    ( use != a_select2(sigma_defuse,n0)
    | ~ spl32_1 ),
    inference(forward_demodulation,[],[f403,f619]) ).

fof(f619,plain,
    ( n0 = sK31
    | ~ spl32_1 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f617,plain,
    ( spl32_1
  <=> n0 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_1])]) ).

fof(f403,plain,
    use != a_select2(sigma_defuse,sK31),
    inference(cnf_transformation,[],[f250]) ).

fof(f1317,plain,
    ~ spl32_62,
    inference(avatar_contradiction_clause,[],[f1316]) ).

fof(f1316,plain,
    ( $false
    | ~ spl32_62 ),
    inference(trivial_inequality_removal,[],[f1315]) ).

fof(f1315,plain,
    ( use != use
    | ~ spl32_62 ),
    inference(forward_demodulation,[],[f1308,f422]) ).

fof(f422,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f250]) ).

fof(f1308,plain,
    ( use != a_select2(sigma_defuse,n4)
    | ~ spl32_62 ),
    inference(backward_demodulation,[],[f403,f1165]) ).

fof(f1165,plain,
    ( n4 = sK31
    | ~ spl32_62 ),
    inference(avatar_component_clause,[],[f1163]) ).

fof(f1163,plain,
    ( spl32_62
  <=> n4 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_62])]) ).

fof(f1293,plain,
    ~ spl32_58,
    inference(avatar_contradiction_clause,[],[f1292]) ).

fof(f1292,plain,
    ( $false
    | ~ spl32_58 ),
    inference(trivial_inequality_removal,[],[f1291]) ).

fof(f1291,plain,
    ( use != use
    | ~ spl32_58 ),
    inference(forward_demodulation,[],[f1290,f394]) ).

fof(f394,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f250]) ).

fof(f1290,plain,
    ( use != a_select2(sigma_defuse,n3)
    | ~ spl32_58 ),
    inference(forward_demodulation,[],[f403,f1130]) ).

fof(f1130,plain,
    ( n3 = sK31
    | ~ spl32_58 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f1128,plain,
    ( spl32_58
  <=> n3 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_58])]) ).

fof(f1277,plain,
    ~ spl32_23,
    inference(avatar_contradiction_clause,[],[f1276]) ).

fof(f1276,plain,
    ( $false
    | ~ spl32_23 ),
    inference(trivial_inequality_removal,[],[f1275]) ).

fof(f1275,plain,
    ( use != use
    | ~ spl32_23 ),
    inference(forward_demodulation,[],[f1255,f416]) ).

fof(f416,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f250]) ).

fof(f1255,plain,
    ( use != a_select2(sigma_defuse,n2)
    | ~ spl32_23 ),
    inference(backward_demodulation,[],[f403,f873]) ).

fof(f873,plain,
    ( n2 = sK31
    | ~ spl32_23 ),
    inference(avatar_component_clause,[],[f871]) ).

fof(f871,plain,
    ( spl32_23
  <=> n2 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_23])]) ).

fof(f1253,plain,
    ~ spl32_19,
    inference(avatar_contradiction_clause,[],[f1252]) ).

fof(f1252,plain,
    ( $false
    | ~ spl32_19 ),
    inference(trivial_inequality_removal,[],[f1251]) ).

fof(f1251,plain,
    ( use != use
    | ~ spl32_19 ),
    inference(forward_demodulation,[],[f1232,f399]) ).

fof(f399,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f250]) ).

fof(f1232,plain,
    ( use != a_select2(sigma_defuse,n1)
    | ~ spl32_19 ),
    inference(backward_demodulation,[],[f403,f846]) ).

fof(f846,plain,
    ( n1 = sK31
    | ~ spl32_19 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f844,plain,
    ( spl32_19
  <=> n1 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_19])]) ).

fof(f1231,plain,
    spl32_64,
    inference(avatar_split_clause,[],[f402,f1201]) ).

fof(f1201,plain,
    ( spl32_64
  <=> leq(sK31,n5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_64])]) ).

fof(f402,plain,
    leq(sK31,n5),
    inference(cnf_transformation,[],[f250]) ).

fof(f1230,plain,
    ~ spl32_4,
    inference(avatar_contradiction_clause,[],[f1229]) ).

fof(f1229,plain,
    ( $false
    | ~ spl32_4 ),
    inference(trivial_inequality_removal,[],[f1228]) ).

fof(f1228,plain,
    ( use != use
    | ~ spl32_4 ),
    inference(forward_demodulation,[],[f1211,f407]) ).

fof(f407,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f250]) ).

fof(f1211,plain,
    ( use != a_select2(sigma_defuse,n5)
    | ~ spl32_4 ),
    inference(backward_demodulation,[],[f403,f632]) ).

fof(f632,plain,
    ( n5 = sK31
    | ~ spl32_4 ),
    inference(avatar_component_clause,[],[f630]) ).

fof(f630,plain,
    ( spl32_4
  <=> n5 = sK31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl32_4])]) ).

fof(f1204,plain,
    ( spl32_4
    | ~ spl32_64
    | spl32_23
    | spl32_62
    | spl32_58
    | spl32_19
    | spl32_1 ),
    inference(avatar_split_clause,[],[f1197,f617,f844,f1128,f1163,f871,f1201,f630]) ).

fof(f1197,plain,
    ( n0 = sK31
    | n1 = sK31
    | n3 = sK31
    | n4 = sK31
    | n2 = sK31
    | ~ leq(sK31,n5)
    | n5 = sK31 ),
    inference(resolution,[],[f387,f404]) ).

fof(f404,plain,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f250]) ).

fof(f387,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n5 = X0
      | n1 = X0
      | n0 = X0
      | n3 = X0
      | n2 = X0
      | n4 = X0
      | ~ leq(X0,n5) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( n3 = X0
      | n2 = X0
      | n4 = X0
      | ~ leq(n0,X0)
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n5)
      | n5 = X0 ),
    inference(flattening,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( n5 = X0
      | n1 = X0
      | n3 = X0
      | n0 = X0
      | n2 = X0
      | n4 = X0
      | ~ leq(n0,X0)
      | ~ leq(X0,n5) ),
    inference(ennf_transformation,[],[f84]) ).

fof(f84,axiom,
    ! [X0] :
      ( ( leq(n0,X0)
        & leq(X0,n5) )
     => ( n5 = X0
        | n1 = X0
        | n3 = X0
        | n0 = X0
        | n2 = X0
        | n4 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV205+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n028.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 19:15:19 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.45  % (1821)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.48  % (1845)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.49  % (1829)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.49  % (1823)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50  % (1837)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.50  % (1823)Instruction limit reached!
% 0.20/0.50  % (1823)------------------------------
% 0.20/0.50  % (1823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1823)Termination reason: Unknown
% 0.20/0.51  % (1823)Termination phase: Property scanning
% 0.20/0.51  
% 0.20/0.51  % (1823)Memory used [KB]: 1151
% 0.20/0.51  % (1823)Time elapsed: 0.005 s
% 0.20/0.51  % (1823)Instructions burned: 9 (million)
% 0.20/0.51  % (1823)------------------------------
% 0.20/0.51  % (1823)------------------------------
% 0.20/0.52  % (1816)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.32/0.53  % (1838)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.32/0.53  % (1830)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.53  % (1842)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.32/0.53  % (1841)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.32/0.53  % (1819)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (1820)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.53  % (1817)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.54  % (1818)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.32/0.54  % (1831)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.32/0.54  % (1822)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.54  % (1839)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.32/0.54  % (1824)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.54  % (1826)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.54  % (1824)Instruction limit reached!
% 1.32/0.54  % (1824)------------------------------
% 1.32/0.54  % (1824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.54  % (1824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.54  % (1824)Termination reason: Unknown
% 1.32/0.54  % (1824)Termination phase: Unused predicate definition removal
% 1.32/0.54  
% 1.32/0.54  % (1824)Memory used [KB]: 1023
% 1.32/0.54  % (1824)Time elapsed: 0.002 s
% 1.32/0.54  % (1824)Instructions burned: 2 (million)
% 1.32/0.54  % (1824)------------------------------
% 1.32/0.54  % (1824)------------------------------
% 1.32/0.54  % (1825)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.55/0.55  % (1832)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.55/0.55  % (1835)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.55  % (1840)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.55/0.55  % (1843)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.55/0.55  % (1834)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.55  % (1833)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.55/0.55  % (1827)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.55/0.56  % (1844)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.55/0.56  TRYING [1]
% 1.55/0.56  TRYING [2]
% 1.55/0.56  % (1836)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.55/0.56  % (1821)Instruction limit reached!
% 1.55/0.56  % (1821)------------------------------
% 1.55/0.56  % (1821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.56  % (1821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.56  % (1821)Termination reason: Unknown
% 1.55/0.56  % (1821)Termination phase: Saturation
% 1.55/0.56  
% 1.55/0.56  % (1821)Memory used [KB]: 6140
% 1.55/0.56  % (1821)Time elapsed: 0.182 s
% 1.55/0.56  % (1821)Instructions burned: 49 (million)
% 1.55/0.56  % (1821)------------------------------
% 1.55/0.56  % (1821)------------------------------
% 1.55/0.56  % (1828)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.55/0.57  % (1845)First to succeed.
% 1.55/0.58  TRYING [1]
% 1.55/0.58  % (1845)Refutation found. Thanks to Tanya!
% 1.55/0.58  % SZS status Theorem for theBenchmark
% 1.55/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.58  % (1845)------------------------------
% 1.55/0.58  % (1845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.55/0.58  % (1845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.55/0.58  % (1845)Termination reason: Refutation
% 1.55/0.58  
% 1.55/0.58  % (1845)Memory used [KB]: 6396
% 1.55/0.58  % (1845)Time elapsed: 0.181 s
% 1.55/0.58  % (1845)Instructions burned: 47 (million)
% 1.55/0.58  % (1845)------------------------------
% 1.55/0.58  % (1845)------------------------------
% 1.55/0.58  % (1815)Success in time 0.23 s
%------------------------------------------------------------------------------