TSTP Solution File: SWV209+1 by SnakeForV-SAT---1.0

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%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWV209+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 : n016.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 18:55:49 EDT 2022

% Result   : Theorem 2.10s 0.63s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   81 (  36 unt;   0 def)
%            Number of atoms       :  433 ( 299 equ)
%            Maximal formula atoms :   40 (   5 avg)
%            Number of connectives :  431 (  79   ~;  98   |; 234   &)
%                                         (   6 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-2 aty)
%            Number of functors    :   25 (  25 usr;  23 con; 0-3 aty)
%            Number of variables   :   39 (  35   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1087,plain,
    $false,
    inference(avatar_sat_refutation,[],[f944,f967,f995,f1019,f1042,f1057,f1072]) ).

fof(f1072,plain,
    ~ spl60_44,
    inference(avatar_contradiction_clause,[],[f1071]) ).

fof(f1071,plain,
    ( $false
    | ~ spl60_44 ),
    inference(subsumption_resolution,[],[f1070,f497]) ).

fof(f497,plain,
    use != sF48,
    inference(definition_folding,[],[f289,f496]) ).

fof(f496,plain,
    sF48 = a_select2(xinit_noise_defuse,sK8),
    introduced(function_definition,[]) ).

fof(f289,plain,
    use != a_select2(xinit_noise_defuse,sK8),
    inference(cnf_transformation,[],[f195]) ).

fof(f195,plain,
    ( use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & ! [X0,X1] :
        ( ~ leq(X1,n998)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0)
        | use = a_select3(u_defuse,X0,X1)
        | ~ leq(X0,n2) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_defuse,n4)
    & use != a_select2(xinit_noise_defuse,sK8)
    & leq(n0,sK8)
    & leq(sK8,n5)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n1)
    & ! [X3,X4] :
        ( ~ leq(n0,X3)
        | ~ leq(X4,n2)
        | ~ leq(n0,X4)
        | ~ leq(X3,n998)
        | use = a_select3(z_defuse,X4,X3) )
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_defuse,n3) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f193,f194]) ).

fof(f194,plain,
    ( ? [X2] :
        ( use != a_select2(xinit_noise_defuse,X2)
        & leq(n0,X2)
        & leq(X2,n5) )
   => ( use != a_select2(xinit_noise_defuse,sK8)
      & leq(n0,sK8)
      & leq(sK8,n5) ) ),
    introduced(choice_axiom,[]) ).

fof(f193,plain,
    ( use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & ! [X0,X1] :
        ( ~ leq(X1,n998)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0)
        | use = a_select3(u_defuse,X0,X1)
        | ~ leq(X0,n2) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_defuse,n4)
    & ? [X2] :
        ( use != a_select2(xinit_noise_defuse,X2)
        & leq(n0,X2)
        & leq(X2,n5) )
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n1)
    & ! [X3,X4] :
        ( ~ leq(n0,X3)
        | ~ leq(X4,n2)
        | ~ leq(n0,X4)
        | ~ leq(X3,n998)
        | use = a_select3(z_defuse,X4,X3) )
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_defuse,n3) ),
    inference(rectify,[],[f176]) ).

fof(f176,plain,
    ( use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & ! [X0,X1] :
        ( ~ leq(X1,n998)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0)
        | use = a_select3(u_defuse,X0,X1)
        | ~ leq(X0,n2) )
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_defuse,n4)
    & ? [X4] :
        ( use != a_select2(xinit_noise_defuse,X4)
        & leq(n0,X4)
        & leq(X4,n5) )
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(rho_defuse,n1)
    & ! [X2,X3] :
        ( ~ leq(n0,X2)
        | ~ leq(X3,n2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n998)
        | use = a_select3(z_defuse,X3,X2) )
    & use = a_select2(sigma_defuse,n5)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_defuse,n3) ),
    inference(flattening,[],[f175]) ).

fof(f175,plain,
    ( ? [X4] :
        ( use != a_select2(xinit_noise_defuse,X4)
        & leq(X4,n5)
        & leq(n0,X4) )
    & use = a_select2(xinit_noise_defuse,n1)
    & ! [X1,X0] :
        ( use = a_select3(u_defuse,X0,X1)
        | ~ leq(X1,n998)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(n0,X0) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(rho_defuse,n0)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select3(u_defuse,n0,n0)
    & ! [X3,X2] :
        ( use = a_select3(z_defuse,X3,X2)
        | ~ leq(X3,n2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n998) ) ),
    inference(ennf_transformation,[],[f101]) ).

fof(f101,plain,
    ~ ( ( use = a_select2(xinit_noise_defuse,n1)
        & ! [X1,X0] :
            ( ( leq(X1,n998)
              & leq(n0,X1)
              & leq(X0,n2)
              & leq(n0,X0) )
           => use = a_select3(u_defuse,X0,X1) )
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(rho_defuse,n0)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select3(u_defuse,n0,n0)
        & ! [X3,X2] :
            ( ( leq(X3,n2)
              & leq(n0,X2)
              & leq(n0,X3)
              & leq(X2,n998) )
           => use = a_select3(z_defuse,X3,X2) ) )
     => ! [X4] :
          ( ( leq(X4,n5)
            & leq(n0,X4) )
         => use = a_select2(xinit_noise_defuse,X4) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( use = a_select2(sigma_defuse,n4)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n5)
      & ! [X13,X17] :
          ( ( leq(X17,n998)
            & leq(n0,X13)
            & leq(n0,X17)
            & leq(X13,n2) )
         => use = a_select3(u_defuse,X13,X17) )
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_defuse,n5)
      & ! [X19,X3] :
          ( ( leq(X3,n2)
            & leq(X19,n998)
            & leq(n0,X19)
            & leq(n0,X3) )
         => use = a_select3(z_defuse,X3,X19) )
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(rho_defuse,n0) )
   => ! [X20] :
        ( ( leq(n0,X20)
          & leq(X20,n5) )
       => use = a_select2(xinit_noise_defuse,X20) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0020) ).

fof(f1070,plain,
    ( use = sF48
    | ~ spl60_44 ),
    inference(forward_demodulation,[],[f1069,f537]) ).

fof(f537,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(backward_demodulation,[],[f476,f477]) ).

fof(f477,plain,
    use = sF38,
    inference(definition_folding,[],[f300,f476]) ).

fof(f300,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f195]) ).

fof(f476,plain,
    a_select2(xinit_noise_defuse,n4) = sF38,
    introduced(function_definition,[]) ).

fof(f1069,plain,
    ( a_select2(xinit_noise_defuse,n4) = sF48
    | ~ spl60_44 ),
    inference(forward_demodulation,[],[f496,f928]) ).

fof(f928,plain,
    ( n4 = sK8
    | ~ spl60_44 ),
    inference(avatar_component_clause,[],[f926]) ).

fof(f926,plain,
    ( spl60_44
  <=> n4 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_44])]) ).

fof(f1057,plain,
    ~ spl60_38,
    inference(avatar_contradiction_clause,[],[f1056]) ).

fof(f1056,plain,
    ( $false
    | ~ spl60_38 ),
    inference(subsumption_resolution,[],[f1055,f497]) ).

fof(f1055,plain,
    ( use = sF48
    | ~ spl60_38 ),
    inference(forward_demodulation,[],[f1054,f551]) ).

fof(f551,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(backward_demodulation,[],[f498,f499]) ).

fof(f499,plain,
    use = sF49,
    inference(definition_folding,[],[f286,f498]) ).

fof(f286,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f195]) ).

fof(f498,plain,
    a_select2(xinit_noise_defuse,n3) = sF49,
    introduced(function_definition,[]) ).

fof(f1054,plain,
    ( a_select2(xinit_noise_defuse,n3) = sF48
    | ~ spl60_38 ),
    inference(forward_demodulation,[],[f496,f888]) ).

fof(f888,plain,
    ( n3 = sK8
    | ~ spl60_38 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f886,plain,
    ( spl60_38
  <=> n3 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_38])]) ).

fof(f1042,plain,
    ~ spl60_15,
    inference(avatar_contradiction_clause,[],[f1041]) ).

fof(f1041,plain,
    ( $false
    | ~ spl60_15 ),
    inference(subsumption_resolution,[],[f1040,f497]) ).

fof(f1040,plain,
    ( use = sF48
    | ~ spl60_15 ),
    inference(forward_demodulation,[],[f1039,f520]) ).

fof(f520,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(forward_demodulation,[],[f510,f511]) ).

fof(f511,plain,
    use = sF55,
    inference(definition_folding,[],[f279,f510]) ).

fof(f279,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f195]) ).

fof(f510,plain,
    a_select2(xinit_noise_defuse,n1) = sF55,
    introduced(function_definition,[]) ).

fof(f1039,plain,
    ( a_select2(xinit_noise_defuse,n1) = sF48
    | ~ spl60_15 ),
    inference(forward_demodulation,[],[f496,f779]) ).

fof(f779,plain,
    ( n1 = sK8
    | ~ spl60_15 ),
    inference(avatar_component_clause,[],[f777]) ).

fof(f777,plain,
    ( spl60_15
  <=> n1 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_15])]) ).

fof(f1019,plain,
    ~ spl60_14,
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl60_14 ),
    inference(subsumption_resolution,[],[f1017,f497]) ).

fof(f1017,plain,
    ( use = sF48
    | ~ spl60_14 ),
    inference(forward_demodulation,[],[f1016,f522]) ).

fof(f522,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(backward_demodulation,[],[f478,f479]) ).

fof(f479,plain,
    use = sF39,
    inference(definition_folding,[],[f298,f478]) ).

fof(f298,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f195]) ).

fof(f478,plain,
    a_select2(xinit_noise_defuse,n2) = sF39,
    introduced(function_definition,[]) ).

fof(f1016,plain,
    ( a_select2(xinit_noise_defuse,n2) = sF48
    | ~ spl60_14 ),
    inference(forward_demodulation,[],[f496,f775]) ).

fof(f775,plain,
    ( n2 = sK8
    | ~ spl60_14 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f773,plain,
    ( spl60_14
  <=> n2 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_14])]) ).

fof(f995,plain,
    ~ spl60_10,
    inference(avatar_contradiction_clause,[],[f994]) ).

fof(f994,plain,
    ( $false
    | ~ spl60_10 ),
    inference(subsumption_resolution,[],[f993,f497]) ).

fof(f993,plain,
    ( use = sF48
    | ~ spl60_10 ),
    inference(forward_demodulation,[],[f992,f560]) ).

fof(f560,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(forward_demodulation,[],[f516,f517]) ).

fof(f517,plain,
    use = sF58,
    inference(definition_folding,[],[f276,f516]) ).

fof(f276,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f195]) ).

fof(f516,plain,
    a_select2(xinit_noise_defuse,n5) = sF58,
    introduced(function_definition,[]) ).

fof(f992,plain,
    ( a_select2(xinit_noise_defuse,n5) = sF48
    | ~ spl60_10 ),
    inference(forward_demodulation,[],[f496,f741]) ).

fof(f741,plain,
    ( n5 = sK8
    | ~ spl60_10 ),
    inference(avatar_component_clause,[],[f739]) ).

fof(f739,plain,
    ( spl60_10
  <=> n5 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_10])]) ).

fof(f967,plain,
    ~ spl60_12,
    inference(avatar_contradiction_clause,[],[f966]) ).

fof(f966,plain,
    ( $false
    | ~ spl60_12 ),
    inference(subsumption_resolution,[],[f965,f497]) ).

fof(f965,plain,
    ( use = sF48
    | ~ spl60_12 ),
    inference(forward_demodulation,[],[f956,f555]) ).

fof(f555,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(backward_demodulation,[],[f490,f491]) ).

fof(f491,plain,
    use = sF45,
    inference(definition_folding,[],[f292,f490]) ).

fof(f292,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f195]) ).

fof(f490,plain,
    a_select2(xinit_noise_defuse,n0) = sF45,
    introduced(function_definition,[]) ).

fof(f956,plain,
    ( a_select2(xinit_noise_defuse,n0) = sF48
    | ~ spl60_12 ),
    inference(backward_demodulation,[],[f496,f750]) ).

fof(f750,plain,
    ( n0 = sK8
    | ~ spl60_12 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f748,plain,
    ( spl60_12
  <=> n0 = sK8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl60_12])]) ).

fof(f944,plain,
    ( spl60_14
    | spl60_12
    | spl60_44
    | spl60_15
    | spl60_38
    | spl60_10 ),
    inference(avatar_split_clause,[],[f943,f739,f886,f777,f926,f748,f773]) ).

fof(f943,plain,
    ( n5 = sK8
    | n3 = sK8
    | n1 = sK8
    | n4 = sK8
    | n0 = sK8
    | n2 = sK8 ),
    inference(subsumption_resolution,[],[f940,f287]) ).

fof(f287,plain,
    leq(sK8,n5),
    inference(cnf_transformation,[],[f195]) ).

fof(f940,plain,
    ( n4 = sK8
    | ~ leq(sK8,n5)
    | n0 = sK8
    | n3 = sK8
    | n1 = sK8
    | n5 = sK8
    | n2 = sK8 ),
    inference(resolution,[],[f253,f288]) ).

fof(f288,plain,
    leq(n0,sK8),
    inference(cnf_transformation,[],[f195]) ).

fof(f253,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | n4 = X0
      | ~ leq(X0,n5)
      | n5 = X0
      | n1 = X0
      | n2 = X0
      | n3 = X0 ),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( n3 = X0
      | ~ leq(X0,n5)
      | n1 = X0
      | n0 = X0
      | ~ leq(n0,X0)
      | n4 = X0
      | n5 = X0
      | n2 = X0 ),
    inference(flattening,[],[f168]) ).

fof(f168,plain,
    ! [X0] :
      ( n0 = X0
      | n1 = X0
      | n2 = X0
      | n5 = X0
      | n4 = X0
      | n3 = X0
      | ~ leq(X0,n5)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f84]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV209+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.12/0.13  % 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 : n016.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 19:29:01 EDT 2022
% 0.19/0.34  % CPUTime    : 
% 0.19/0.52  % (5229)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.53  % (5245)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)
% 0.19/0.53  % (5229)Instruction limit reached!
% 0.19/0.53  % (5229)------------------------------
% 0.19/0.53  % (5229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53  % (5237)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)
% 0.19/0.53  % (5233)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)
% 0.19/0.54  % (5228)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)
% 0.19/0.54  % (5249)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)
% 0.19/0.54  % (5229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54  % (5229)Termination reason: Unknown
% 0.19/0.54  % (5229)Termination phase: Equality resolution with deletion
% 0.19/0.54  
% 0.19/0.54  % (5229)Memory used [KB]: 1151
% 0.19/0.54  % (5229)Time elapsed: 0.006 s
% 0.19/0.54  % (5229)Instructions burned: 8 (million)
% 0.19/0.54  % (5229)------------------------------
% 0.19/0.54  % (5229)------------------------------
% 0.19/0.55  % (5239)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55  % (5227)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)
% 0.19/0.55  % (5241)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)
% 0.19/0.55  % (5224)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)
% 0.19/0.55  % (5231)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)
% 0.19/0.55  % (5225)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)
% 0.19/0.56  % (5244)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)
% 0.19/0.56  % (5243)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.56  % (5238)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)
% 0.19/0.56  % (5240)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56  % (5235)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56  % (5222)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)
% 0.19/0.56  % (5223)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)
% 0.19/0.56  % (5232)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.63/0.57  % (5247)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.63/0.57  % (5246)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.63/0.57  % (5248)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)
% 1.63/0.57  % (5236)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)
% 1.63/0.57  % (5250)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.63/0.57  % (5230)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.63/0.57  % (5230)Instruction limit reached!
% 1.63/0.57  % (5230)------------------------------
% 1.63/0.57  % (5230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.63/0.57  % (5230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.63/0.57  % (5230)Termination reason: Unknown
% 1.63/0.57  % (5230)Termination phase: Naming
% 1.63/0.57  
% 1.63/0.57  % (5230)Memory used [KB]: 1023
% 1.63/0.57  % (5230)Time elapsed: 0.004 s
% 1.63/0.57  % (5230)Instructions burned: 3 (million)
% 1.63/0.57  % (5230)------------------------------
% 1.63/0.57  % (5230)------------------------------
% 1.63/0.58  % (5226)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.63/0.58  % (5251)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)
% 1.80/0.59  % (5234)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.80/0.59  TRYING [1]
% 1.80/0.59  % (5242)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)
% 1.80/0.59  TRYING [2]
% 1.80/0.60  % (5228)Instruction limit reached!
% 1.80/0.60  % (5228)------------------------------
% 1.80/0.60  % (5228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.80/0.60  % (5228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.80/0.60  % (5228)Termination reason: Unknown
% 1.80/0.60  % (5228)Termination phase: Finite model building constraint generation
% 1.80/0.60  
% 1.80/0.60  % (5228)Memory used [KB]: 7675
% 1.80/0.60  % (5228)Time elapsed: 0.181 s
% 1.80/0.60  % (5228)Instructions burned: 51 (million)
% 1.80/0.60  % (5228)------------------------------
% 1.80/0.60  % (5228)------------------------------
% 1.80/0.61  TRYING [1]
% 1.80/0.61  TRYING [2]
% 2.10/0.63  % (5239)Instruction limit reached!
% 2.10/0.63  % (5239)------------------------------
% 2.10/0.63  % (5239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63  % (5237)Instruction limit reached!
% 2.10/0.63  % (5237)------------------------------
% 2.10/0.63  % (5237)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63  % (5224)Instruction limit reached!
% 2.10/0.63  % (5224)------------------------------
% 2.10/0.63  % (5224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63  % (5224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.63  % (5224)Termination reason: Unknown
% 2.10/0.63  % (5224)Termination phase: Saturation
% 2.10/0.63  
% 2.10/0.63  % (5224)Memory used [KB]: 1663
% 2.10/0.63  % (5224)Time elapsed: 0.199 s
% 2.10/0.63  % (5224)Instructions burned: 37 (million)
% 2.10/0.63  % (5224)------------------------------
% 2.10/0.63  % (5224)------------------------------
% 2.10/0.63  % (5250)First to succeed.
% 2.10/0.63  % (5250)Refutation found. Thanks to Tanya!
% 2.10/0.63  % SZS status Theorem for theBenchmark
% 2.10/0.63  % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.63  % (5250)------------------------------
% 2.10/0.63  % (5250)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.63  % (5250)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.63  % (5250)Termination reason: Refutation
% 2.10/0.63  
% 2.10/0.63  % (5250)Memory used [KB]: 6268
% 2.10/0.63  % (5250)Time elapsed: 0.204 s
% 2.10/0.63  % (5250)Instructions burned: 34 (million)
% 2.10/0.63  % (5250)------------------------------
% 2.10/0.63  % (5250)------------------------------
% 2.10/0.63  % (5221)Success in time 0.284 s
%------------------------------------------------------------------------------