TSTP Solution File: SWV205+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV205+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n027.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 : Sun May  5 10:47:12 EDT 2024

% Result   : Theorem 1.97s 0.64s
% Output   : Refutation 1.97s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  197 (  53 unt;   0 def)
%            Number of atoms       :  784 ( 374 equ)
%            Maximal formula atoms :   40 (   3 avg)
%            Number of connectives :  781 ( 194   ~; 312   |; 241   &)
%                                         (  13 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (   4 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  13 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  16 con; 0-3 aty)
%            Number of variables   :  108 ( 104   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f14217,plain,
    $false,
    inference(avatar_sat_refutation,[],[f8888,f9275,f9287,f9517,f11091,f11158,f11160,f11162,f11164,f11183,f11188,f11262,f12046,f12145,f12729,f12848,f14050,f14216]) ).

fof(f14216,plain,
    ~ spl41_6,
    inference(avatar_contradiction_clause,[],[f14215]) ).

fof(f14215,plain,
    ( $false
    | ~ spl41_6 ),
    inference(subsumption_resolution,[],[f14063,f265]) ).

fof(f265,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( use != a_select2(sigma_defuse,sK13)
    & leq(sK13,n5)
    & leq(n0,sK13)
    & ! [X1,X2] :
        ( use = a_select3(z_defuse,X1,X2)
        | ~ leq(X2,n998)
        | ~ leq(X1,n2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X1) )
    & ! [X3,X4] :
        ( use = a_select3(u_defuse,X3,X4)
        | ~ leq(X4,n998)
        | ~ leq(X3,n2)
        | ~ leq(n0,X4)
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f192,f193]) ).

fof(f193,plain,
    ( ? [X0] :
        ( use != a_select2(sigma_defuse,X0)
        & leq(X0,n5)
        & leq(n0,X0) )
   => ( use != a_select2(sigma_defuse,sK13)
      & leq(sK13,n5)
      & leq(n0,sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f192,plain,
    ( ? [X0] :
        ( use != a_select2(sigma_defuse,X0)
        & leq(X0,n5)
        & leq(n0,X0) )
    & ! [X1,X2] :
        ( use = a_select3(z_defuse,X1,X2)
        | ~ leq(X2,n998)
        | ~ leq(X1,n2)
        | ~ leq(n0,X2)
        | ~ leq(n0,X1) )
    & ! [X3,X4] :
        ( use = a_select3(u_defuse,X3,X4)
        | ~ leq(X4,n998)
        | ~ leq(X3,n2)
        | ~ leq(n0,X4)
        | ~ leq(n0,X3) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(rectify,[],[f117]) ).

fof(f117,plain,
    ( ? [X4] :
        ( use != a_select2(sigma_defuse,X4)
        & leq(X4,n5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,n998)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(X3,n998)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(flattening,[],[f116]) ).

fof(f116,plain,
    ( ? [X4] :
        ( use != a_select2(sigma_defuse,X4)
        & leq(X4,n5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,n998)
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(X3,n998)
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & use = a_select2(xinit_noise_defuse,n5)
    & use = a_select2(xinit_noise_defuse,n4)
    & use = a_select2(xinit_noise_defuse,n3)
    & use = a_select2(xinit_noise_defuse,n2)
    & use = a_select2(xinit_noise_defuse,n1)
    & use = a_select2(xinit_noise_defuse,n0)
    & use = a_select2(xinit_mean_defuse,n5)
    & use = a_select2(xinit_mean_defuse,n4)
    & use = a_select2(xinit_mean_defuse,n3)
    & use = a_select2(xinit_mean_defuse,n2)
    & use = a_select2(xinit_mean_defuse,n1)
    & use = a_select2(xinit_mean_defuse,n0)
    & use = a_select2(xinit_defuse,n5)
    & use = a_select2(xinit_defuse,n4)
    & use = a_select2(xinit_defuse,n3)
    & use = a_select3(u_defuse,n2,n0)
    & use = a_select3(u_defuse,n1,n0)
    & use = a_select3(u_defuse,n0,n0)
    & use = a_select2(sigma_defuse,n5)
    & use = a_select2(sigma_defuse,n4)
    & use = a_select2(sigma_defuse,n3)
    & use = a_select2(sigma_defuse,n2)
    & use = a_select2(sigma_defuse,n1)
    & use = a_select2(sigma_defuse,n0)
    & use = a_select2(rho_defuse,n2)
    & use = a_select2(rho_defuse,n1)
    & use = a_select2(rho_defuse,n0) ),
    inference(ennf_transformation,[],[f94]) ).

fof(f94,plain,
    ~ ( ( ! [X0,X1] :
            ( ( leq(X1,n998)
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => use = a_select3(z_defuse,X0,X1) )
        & ! [X2,X3] :
            ( ( leq(X3,n998)
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
           => use = a_select3(u_defuse,X2,X3) )
        & use = a_select2(xinit_noise_defuse,n5)
        & use = a_select2(xinit_noise_defuse,n4)
        & use = a_select2(xinit_noise_defuse,n3)
        & use = a_select2(xinit_noise_defuse,n2)
        & use = a_select2(xinit_noise_defuse,n1)
        & use = a_select2(xinit_noise_defuse,n0)
        & use = a_select2(xinit_mean_defuse,n5)
        & use = a_select2(xinit_mean_defuse,n4)
        & use = a_select2(xinit_mean_defuse,n3)
        & use = a_select2(xinit_mean_defuse,n2)
        & use = a_select2(xinit_mean_defuse,n1)
        & use = a_select2(xinit_mean_defuse,n0)
        & use = a_select2(xinit_defuse,n5)
        & use = a_select2(xinit_defuse,n4)
        & use = a_select2(xinit_defuse,n3)
        & use = a_select3(u_defuse,n2,n0)
        & use = a_select3(u_defuse,n1,n0)
        & use = a_select3(u_defuse,n0,n0)
        & use = a_select2(sigma_defuse,n5)
        & use = a_select2(sigma_defuse,n4)
        & use = a_select2(sigma_defuse,n3)
        & use = a_select2(sigma_defuse,n2)
        & use = a_select2(sigma_defuse,n1)
        & use = a_select2(sigma_defuse,n0)
        & use = a_select2(rho_defuse,n2)
        & use = a_select2(rho_defuse,n1)
        & use = a_select2(rho_defuse,n0) )
     => ! [X4] :
          ( ( leq(X4,n5)
            & leq(n0,X4) )
         => use = a_select2(sigma_defuse,X4) ) ),
    inference(rectify,[],[f54]) ).

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

fof(f53,conjecture,
    ( ( ! [X3,X19] :
          ( ( leq(X19,n998)
            & leq(X3,n2)
            & leq(n0,X19)
            & leq(n0,X3) )
         => use = a_select3(z_defuse,X3,X19) )
      & ! [X13,X17] :
          ( ( leq(X17,n998)
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => use = a_select3(u_defuse,X13,X17) )
      & use = a_select2(xinit_noise_defuse,n5)
      & use = a_select2(xinit_noise_defuse,n4)
      & use = a_select2(xinit_noise_defuse,n3)
      & use = a_select2(xinit_noise_defuse,n2)
      & use = a_select2(xinit_noise_defuse,n1)
      & use = a_select2(xinit_noise_defuse,n0)
      & use = a_select2(xinit_mean_defuse,n5)
      & use = a_select2(xinit_mean_defuse,n4)
      & use = a_select2(xinit_mean_defuse,n3)
      & use = a_select2(xinit_mean_defuse,n2)
      & use = a_select2(xinit_mean_defuse,n1)
      & use = a_select2(xinit_mean_defuse,n0)
      & use = a_select2(xinit_defuse,n5)
      & use = a_select2(xinit_defuse,n4)
      & use = a_select2(xinit_defuse,n3)
      & use = a_select3(u_defuse,n2,n0)
      & use = a_select3(u_defuse,n1,n0)
      & use = a_select3(u_defuse,n0,n0)
      & use = a_select2(sigma_defuse,n5)
      & use = a_select2(sigma_defuse,n4)
      & use = a_select2(sigma_defuse,n3)
      & use = a_select2(sigma_defuse,n2)
      & use = a_select2(sigma_defuse,n1)
      & use = a_select2(sigma_defuse,n0)
      & use = a_select2(rho_defuse,n2)
      & use = a_select2(rho_defuse,n1)
      & use = a_select2(rho_defuse,n0) )
   => ! [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(f14063,plain,
    ( use != a_select2(sigma_defuse,n5)
    | ~ spl41_6 ),
    inference(superposition,[],[f288,f9516]) ).

fof(f9516,plain,
    ( n5 = sK13
    | ~ spl41_6 ),
    inference(avatar_component_clause,[],[f9514]) ).

fof(f9514,plain,
    ( spl41_6
  <=> n5 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_6])]) ).

fof(f288,plain,
    use != a_select2(sigma_defuse,sK13),
    inference(cnf_transformation,[],[f194]) ).

fof(f14050,plain,
    ( spl41_1
    | spl41_3
    | ~ spl41_5
    | spl41_7
    | spl41_9
    | spl41_11 ),
    inference(avatar_contradiction_clause,[],[f14049]) ).

fof(f14049,plain,
    ( $false
    | spl41_1
    | spl41_3
    | ~ spl41_5
    | spl41_7
    | spl41_9
    | spl41_11 ),
    inference(subsumption_resolution,[],[f14046,f9512]) ).

fof(f9512,plain,
    ( gt(n5,sK13)
    | ~ spl41_5 ),
    inference(avatar_component_clause,[],[f9510]) ).

fof(f9510,plain,
    ( spl41_5
  <=> gt(n5,sK13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_5])]) ).

fof(f14046,plain,
    ( ~ gt(n5,sK13)
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9
    | spl41_11 ),
    inference(resolution,[],[f14009,f763]) ).

fof(f763,plain,
    ! [X0] :
      ( leq(X0,n4)
      | ~ gt(n5,X0) ),
    inference(superposition,[],[f375,f746]) ).

fof(f746,plain,
    n5 = succ(n4),
    inference(forward_demodulation,[],[f745,f490]) ).

fof(f490,plain,
    n4 = plus(n2,n2),
    inference(forward_demodulation,[],[f484,f474]) ).

fof(f474,plain,
    n4 = succ(n3),
    inference(forward_demodulation,[],[f473,f466]) ).

fof(f466,plain,
    n3 = succ(n2),
    inference(forward_demodulation,[],[f465,f452]) ).

fof(f452,plain,
    n2 = succ(n1),
    inference(forward_demodulation,[],[f320,f318]) ).

fof(f318,plain,
    n1 = succ(n0),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,axiom,
    n1 = succ(n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).

fof(f320,plain,
    n2 = succ(succ(n0)),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,axiom,
    n2 = succ(succ(n0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).

fof(f465,plain,
    n3 = succ(succ(n1)),
    inference(forward_demodulation,[],[f321,f318]) ).

fof(f321,plain,
    n3 = succ(succ(succ(n0))),
    inference(cnf_transformation,[],[f93]) ).

fof(f93,axiom,
    n3 = succ(succ(succ(n0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).

fof(f473,plain,
    n4 = succ(succ(n2)),
    inference(forward_demodulation,[],[f472,f452]) ).

fof(f472,plain,
    n4 = succ(succ(succ(n1))),
    inference(forward_demodulation,[],[f322,f318]) ).

fof(f322,plain,
    n4 = succ(succ(succ(succ(n0)))),
    inference(cnf_transformation,[],[f89]) ).

fof(f89,axiom,
    n4 = succ(succ(succ(succ(n0)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).

fof(f484,plain,
    succ(n3) = plus(n2,n2),
    inference(superposition,[],[f334,f466]) ).

fof(f334,plain,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    inference(cnf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0] : succ(succ(X0)) = plus(n2,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_plus_2_l) ).

fof(f745,plain,
    n5 = succ(plus(n2,n2)),
    inference(forward_demodulation,[],[f744,f488]) ).

fof(f488,plain,
    n2 = plus(n2,n0),
    inference(forward_demodulation,[],[f481,f452]) ).

fof(f481,plain,
    succ(n1) = plus(n2,n0),
    inference(superposition,[],[f334,f318]) ).

fof(f744,plain,
    n5 = succ(plus(n2,plus(n2,n0))),
    inference(forward_demodulation,[],[f743,f334]) ).

fof(f743,plain,
    n5 = succ(plus(n2,succ(succ(n0)))),
    inference(forward_demodulation,[],[f323,f334]) ).

fof(f323,plain,
    n5 = succ(succ(succ(succ(succ(n0))))),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,axiom,
    n5 = succ(succ(succ(succ(succ(n0))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).

fof(f375,plain,
    ! [X0,X1] :
      ( ~ gt(succ(X1),X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f207,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | ~ gt(succ(X1),X0) )
      & ( gt(succ(X1),X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).

fof(f14009,plain,
    ( ~ leq(sK13,n4)
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9
    | spl41_11 ),
    inference(subsumption_resolution,[],[f14008,f12723]) ).

fof(f12723,plain,
    ( n4 != sK13
    | spl41_11 ),
    inference(avatar_component_clause,[],[f12722]) ).

fof(f12722,plain,
    ( spl41_11
  <=> n4 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_11])]) ).

fof(f14008,plain,
    ( ~ leq(sK13,n4)
    | n4 = sK13
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(subsumption_resolution,[],[f14007,f8882]) ).

fof(f8882,plain,
    ( n0 != sK13
    | spl41_1 ),
    inference(avatar_component_clause,[],[f8881]) ).

fof(f8881,plain,
    ( spl41_1
  <=> n0 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_1])]) ).

fof(f14007,plain,
    ( n0 = sK13
    | ~ leq(sK13,n4)
    | n4 = sK13
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(subsumption_resolution,[],[f14006,f9269]) ).

fof(f9269,plain,
    ( n1 != sK13
    | spl41_3 ),
    inference(avatar_component_clause,[],[f9268]) ).

fof(f9268,plain,
    ( spl41_3
  <=> n1 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_3])]) ).

fof(f14006,plain,
    ( n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n4)
    | n4 = sK13
    | spl41_7
    | spl41_9 ),
    inference(subsumption_resolution,[],[f14005,f11085]) ).

fof(f11085,plain,
    ( n2 != sK13
    | spl41_7 ),
    inference(avatar_component_clause,[],[f11084]) ).

fof(f11084,plain,
    ( spl41_7
  <=> n2 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_7])]) ).

fof(f14005,plain,
    ( n2 = sK13
    | n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n4)
    | n4 = sK13
    | spl41_9 ),
    inference(subsumption_resolution,[],[f13933,f12040]) ).

fof(f12040,plain,
    ( n3 != sK13
    | spl41_9 ),
    inference(avatar_component_clause,[],[f12039]) ).

fof(f12039,plain,
    ( spl41_9
  <=> n3 = sK13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_9])]) ).

fof(f13933,plain,
    ( n3 = sK13
    | n2 = sK13
    | n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n4)
    | n4 = sK13 ),
    inference(resolution,[],[f342,f286]) ).

fof(f286,plain,
    leq(n0,sK13),
    inference(cnf_transformation,[],[f194]) ).

fof(f342,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n3 = X0
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n4)
      | n4 = X0 ),
    inference(cnf_transformation,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( n4 = X0
      | n3 = X0
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n4)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0] :
      ( n4 = X0
      | n3 = X0
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n4)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f83]) ).

fof(f83,axiom,
    ! [X0] :
      ( ( leq(X0,n4)
        & leq(n0,X0) )
     => ( n4 = X0
        | n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_4) ).

fof(f12848,plain,
    ~ spl41_11,
    inference(avatar_contradiction_clause,[],[f12847]) ).

fof(f12847,plain,
    ( $false
    | ~ spl41_11 ),
    inference(subsumption_resolution,[],[f12732,f264]) ).

fof(f264,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f194]) ).

fof(f12732,plain,
    ( use != a_select2(sigma_defuse,n4)
    | ~ spl41_11 ),
    inference(superposition,[],[f288,f12724]) ).

fof(f12724,plain,
    ( n4 = sK13
    | ~ spl41_11 ),
    inference(avatar_component_clause,[],[f12722]) ).

fof(f12729,plain,
    ( spl41_11
    | spl41_12
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(avatar_split_clause,[],[f12701,f12039,f11084,f9268,f8881,f12726,f12722]) ).

fof(f12726,plain,
    ( spl41_12
  <=> gt(sK13,n4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_12])]) ).

fof(f12701,plain,
    ( gt(sK13,n4)
    | n4 = sK13
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(resolution,[],[f12692,f348]) ).

fof(f348,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | gt(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).

fof(f12692,plain,
    ( ~ gt(n4,sK13)
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(resolution,[],[f12640,f664]) ).

fof(f664,plain,
    ! [X0] :
      ( leq(X0,n3)
      | ~ gt(n4,X0) ),
    inference(superposition,[],[f375,f474]) ).

fof(f12640,plain,
    ( ~ leq(sK13,n3)
    | spl41_1
    | spl41_3
    | spl41_7
    | spl41_9 ),
    inference(subsumption_resolution,[],[f12639,f12040]) ).

fof(f12639,plain,
    ( ~ leq(sK13,n3)
    | n3 = sK13
    | spl41_1
    | spl41_3
    | spl41_7 ),
    inference(subsumption_resolution,[],[f12638,f8882]) ).

fof(f12638,plain,
    ( n0 = sK13
    | ~ leq(sK13,n3)
    | n3 = sK13
    | spl41_3
    | spl41_7 ),
    inference(subsumption_resolution,[],[f12637,f9269]) ).

fof(f12637,plain,
    ( n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n3)
    | n3 = sK13
    | spl41_7 ),
    inference(subsumption_resolution,[],[f12570,f11085]) ).

fof(f12570,plain,
    ( n2 = sK13
    | n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n3)
    | n3 = sK13 ),
    inference(resolution,[],[f344,f286]) ).

fof(f344,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n3)
      | n3 = X0 ),
    inference(cnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X0] :
      ( n3 = X0
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n3)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f122]) ).

fof(f122,plain,
    ! [X0] :
      ( n3 = X0
      | n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n3)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f88]) ).

fof(f88,axiom,
    ! [X0] :
      ( ( leq(X0,n3)
        & leq(n0,X0) )
     => ( n3 = X0
        | n2 = X0
        | n1 = X0
        | n0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).

fof(f12145,plain,
    ~ spl41_9,
    inference(avatar_contradiction_clause,[],[f12144]) ).

fof(f12144,plain,
    ( $false
    | ~ spl41_9 ),
    inference(subsumption_resolution,[],[f12049,f263]) ).

fof(f263,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f194]) ).

fof(f12049,plain,
    ( use != a_select2(sigma_defuse,n3)
    | ~ spl41_9 ),
    inference(superposition,[],[f288,f12041]) ).

fof(f12041,plain,
    ( n3 = sK13
    | ~ spl41_9 ),
    inference(avatar_component_clause,[],[f12039]) ).

fof(f12046,plain,
    ( spl41_9
    | spl41_10
    | spl41_1
    | spl41_3
    | spl41_7 ),
    inference(avatar_split_clause,[],[f12031,f11084,f9268,f8881,f12043,f12039]) ).

fof(f12043,plain,
    ( spl41_10
  <=> gt(sK13,n3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_10])]) ).

fof(f12031,plain,
    ( gt(sK13,n3)
    | n3 = sK13
    | spl41_1
    | spl41_3
    | spl41_7 ),
    inference(resolution,[],[f12023,f348]) ).

fof(f12023,plain,
    ( ~ gt(n3,sK13)
    | spl41_1
    | spl41_3
    | spl41_7 ),
    inference(resolution,[],[f11987,f663]) ).

fof(f663,plain,
    ! [X0] :
      ( leq(X0,n2)
      | ~ gt(n3,X0) ),
    inference(superposition,[],[f375,f466]) ).

fof(f11987,plain,
    ( ~ leq(sK13,n2)
    | spl41_1
    | spl41_3
    | spl41_7 ),
    inference(subsumption_resolution,[],[f11986,f11085]) ).

fof(f11986,plain,
    ( ~ leq(sK13,n2)
    | n2 = sK13
    | spl41_1
    | spl41_3 ),
    inference(subsumption_resolution,[],[f11985,f8882]) ).

fof(f11985,plain,
    ( n0 = sK13
    | ~ leq(sK13,n2)
    | n2 = sK13
    | spl41_3 ),
    inference(subsumption_resolution,[],[f11919,f9269]) ).

fof(f11919,plain,
    ( n1 = sK13
    | n0 = sK13
    | ~ leq(sK13,n2)
    | n2 = sK13 ),
    inference(resolution,[],[f346,f286]) ).

fof(f346,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | n2 = X0 ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f87,axiom,
    ! [X0] :
      ( ( leq(X0,n2)
        & leq(n0,X0) )
     => ( n2 = X0
        | n1 = X0
        | n0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).

fof(f11262,plain,
    ~ spl41_7,
    inference(avatar_contradiction_clause,[],[f11261]) ).

fof(f11261,plain,
    ( $false
    | ~ spl41_7 ),
    inference(subsumption_resolution,[],[f11205,f262]) ).

fof(f262,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f194]) ).

fof(f11205,plain,
    ( use != a_select2(sigma_defuse,n2)
    | ~ spl41_7 ),
    inference(superposition,[],[f288,f11086]) ).

fof(f11086,plain,
    ( n2 = sK13
    | ~ spl41_7 ),
    inference(avatar_component_clause,[],[f11084]) ).

fof(f11188,plain,
    ( ~ spl41_1
    | ~ spl41_4 ),
    inference(avatar_contradiction_clause,[],[f11187]) ).

fof(f11187,plain,
    ( $false
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(subsumption_resolution,[],[f11156,f629]) ).

fof(f629,plain,
    ~ leq(n1,n0),
    inference(superposition,[],[f610,f318]) ).

fof(f610,plain,
    ! [X0] : ~ leq(succ(X0),X0),
    inference(resolution,[],[f374,f324]) ).

fof(f324,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f374,plain,
    ! [X0,X1] :
      ( gt(succ(X1),X0)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f207]) ).

fof(f11156,plain,
    ( leq(n1,n0)
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(superposition,[],[f10949,f8883]) ).

fof(f8883,plain,
    ( n0 = sK13
    | ~ spl41_1 ),
    inference(avatar_component_clause,[],[f8881]) ).

fof(f10949,plain,
    ( leq(n1,sK13)
    | ~ spl41_4 ),
    inference(resolution,[],[f10908,f375]) ).

fof(f10908,plain,
    ( gt(succ(sK13),n1)
    | ~ spl41_4 ),
    inference(resolution,[],[f9713,f326]) ).

fof(f326,plain,
    ! [X0] : gt(succ(X0),X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : gt(succ(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_succ) ).

fof(f9713,plain,
    ( ! [X0] :
        ( ~ gt(X0,sK13)
        | gt(X0,n1) )
    | ~ spl41_4 ),
    inference(resolution,[],[f381,f9274]) ).

fof(f9274,plain,
    ( gt(sK13,n1)
    | ~ spl41_4 ),
    inference(avatar_component_clause,[],[f9272]) ).

fof(f9272,plain,
    ( spl41_4
  <=> gt(sK13,n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_4])]) ).

fof(f381,plain,
    ! [X2,X0,X1] :
      ( ~ gt(X1,X2)
      | gt(X0,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f145]) ).

fof(f145,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f144]) ).

fof(f144,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_gt) ).

fof(f11183,plain,
    ( ~ spl41_1
    | ~ spl41_4 ),
    inference(avatar_contradiction_clause,[],[f11182]) ).

fof(f11182,plain,
    ( $false
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(subsumption_resolution,[],[f11181,f324]) ).

fof(f11181,plain,
    ( gt(n1,n1)
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(forward_demodulation,[],[f11152,f318]) ).

fof(f11152,plain,
    ( gt(succ(n0),n1)
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(superposition,[],[f10908,f8883]) ).

fof(f11164,plain,
    ( ~ spl41_1
    | ~ spl41_4 ),
    inference(avatar_contradiction_clause,[],[f11163]) ).

fof(f11163,plain,
    ( $false
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(subsumption_resolution,[],[f11112,f640]) ).

fof(f640,plain,
    ~ gt(n0,n1),
    inference(resolution,[],[f629,f352]) ).

fof(f352,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt1) ).

fof(f11112,plain,
    ( gt(n0,n1)
    | ~ spl41_1
    | ~ spl41_4 ),
    inference(superposition,[],[f9274,f8883]) ).

fof(f11162,plain,
    ( ~ spl41_1
    | spl41_2 ),
    inference(avatar_contradiction_clause,[],[f11161]) ).

fof(f11161,plain,
    ( $false
    | ~ spl41_1
    | spl41_2 ),
    inference(subsumption_resolution,[],[f11108,f315]) ).

fof(f315,plain,
    gt(n1,n0),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,axiom,
    gt(n1,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_1_0) ).

fof(f11108,plain,
    ( ~ gt(n1,n0)
    | ~ spl41_1
    | spl41_2 ),
    inference(superposition,[],[f8889,f8883]) ).

fof(f8889,plain,
    ( ~ gt(n1,sK13)
    | spl41_2 ),
    inference(resolution,[],[f8887,f660]) ).

fof(f660,plain,
    ! [X0] :
      ( leq(X0,n0)
      | ~ gt(n1,X0) ),
    inference(superposition,[],[f375,f318]) ).

fof(f8887,plain,
    ( ~ leq(sK13,n0)
    | spl41_2 ),
    inference(avatar_component_clause,[],[f8885]) ).

fof(f8885,plain,
    ( spl41_2
  <=> leq(sK13,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_2])]) ).

fof(f11160,plain,
    ( ~ spl41_1
    | spl41_2 ),
    inference(avatar_contradiction_clause,[],[f11159]) ).

fof(f11159,plain,
    ( $false
    | ~ spl41_1
    | spl41_2 ),
    inference(subsumption_resolution,[],[f11107,f325]) ).

fof(f325,plain,
    ! [X0] : leq(X0,X0),
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : leq(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_leq) ).

fof(f11107,plain,
    ( ~ leq(n0,n0)
    | ~ spl41_1
    | spl41_2 ),
    inference(superposition,[],[f8887,f8883]) ).

fof(f11158,plain,
    ~ spl41_1,
    inference(avatar_contradiction_clause,[],[f11157]) ).

fof(f11157,plain,
    ( $false
    | ~ spl41_1 ),
    inference(subsumption_resolution,[],[f11105,f260]) ).

fof(f260,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f194]) ).

fof(f11105,plain,
    ( use != a_select2(sigma_defuse,n0)
    | ~ spl41_1 ),
    inference(superposition,[],[f288,f8883]) ).

fof(f11091,plain,
    ( spl41_7
    | spl41_8
    | spl41_1
    | spl41_3 ),
    inference(avatar_split_clause,[],[f11072,f9268,f8881,f11088,f11084]) ).

fof(f11088,plain,
    ( spl41_8
  <=> gt(sK13,n2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl41_8])]) ).

fof(f11072,plain,
    ( gt(sK13,n2)
    | n2 = sK13
    | spl41_1
    | spl41_3 ),
    inference(resolution,[],[f11065,f348]) ).

fof(f11065,plain,
    ( ~ gt(n2,sK13)
    | spl41_1
    | spl41_3 ),
    inference(resolution,[],[f11039,f662]) ).

fof(f662,plain,
    ! [X0] :
      ( leq(X0,n1)
      | ~ gt(n2,X0) ),
    inference(superposition,[],[f375,f452]) ).

fof(f11039,plain,
    ( ~ leq(sK13,n1)
    | spl41_1
    | spl41_3 ),
    inference(subsumption_resolution,[],[f11038,f9269]) ).

fof(f11038,plain,
    ( ~ leq(sK13,n1)
    | n1 = sK13
    | spl41_1 ),
    inference(subsumption_resolution,[],[f10976,f8882]) ).

fof(f10976,plain,
    ( n0 = sK13
    | ~ leq(sK13,n1)
    | n1 = sK13 ),
    inference(resolution,[],[f345,f286]) ).

fof(f345,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | n0 = X0
      | ~ leq(X0,n1)
      | n1 = X0 ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | ~ leq(X0,n1)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | ~ leq(X0,n1)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f86,axiom,
    ! [X0] :
      ( ( leq(X0,n1)
        & leq(n0,X0) )
     => ( n1 = X0
        | n0 = X0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).

fof(f9517,plain,
    ( spl41_5
    | spl41_6 ),
    inference(avatar_split_clause,[],[f9484,f9514,f9510]) ).

fof(f9484,plain,
    ( n5 = sK13
    | gt(n5,sK13) ),
    inference(resolution,[],[f355,f287]) ).

fof(f287,plain,
    leq(sK13,n5),
    inference(cnf_transformation,[],[f194]) ).

fof(f355,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | X0 = X1
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f137]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f136]) ).

fof(f136,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt2) ).

fof(f9287,plain,
    ~ spl41_3,
    inference(avatar_contradiction_clause,[],[f9286]) ).

fof(f9286,plain,
    ( $false
    | ~ spl41_3 ),
    inference(subsumption_resolution,[],[f9278,f261]) ).

fof(f261,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f194]) ).

fof(f9278,plain,
    ( use != a_select2(sigma_defuse,n1)
    | ~ spl41_3 ),
    inference(superposition,[],[f288,f9270]) ).

fof(f9270,plain,
    ( n1 = sK13
    | ~ spl41_3 ),
    inference(avatar_component_clause,[],[f9268]) ).

fof(f9275,plain,
    ( spl41_3
    | spl41_4
    | spl41_2 ),
    inference(avatar_split_clause,[],[f9007,f8885,f9272,f9268]) ).

fof(f9007,plain,
    ( gt(sK13,n1)
    | n1 = sK13
    | spl41_2 ),
    inference(resolution,[],[f348,f8889]) ).

fof(f8888,plain,
    ( spl41_1
    | ~ spl41_2 ),
    inference(avatar_split_clause,[],[f8821,f8885,f8881]) ).

fof(f8821,plain,
    ( ~ leq(sK13,n0)
    | n0 = sK13 ),
    inference(resolution,[],[f347,f286]) ).

fof(f347,plain,
    ! [X0] :
      ( ~ leq(n0,X0)
      | ~ leq(X0,n0)
      | n0 = X0 ),
    inference(cnf_transformation,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f85,axiom,
    ! [X0] :
      ( ( leq(X0,n0)
        & leq(n0,X0) )
     => n0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV205+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.14/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n027.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 21:14:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (27280)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (27283)WARNING: value z3 for option sas not known
% 0.15/0.38  % (27281)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (27284)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (27282)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (27285)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38  % (27283)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (27286)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38  % (27287)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.49  TRYING [1]
% 0.21/0.50  TRYING [2]
% 1.57/0.61  TRYING [3]
% 1.97/0.63  % (27283)First to succeed.
% 1.97/0.64  % (27283)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27280"
% 1.97/0.64  % (27283)Refutation found. Thanks to Tanya!
% 1.97/0.64  % SZS status Theorem for theBenchmark
% 1.97/0.64  % SZS output start Proof for theBenchmark
% See solution above
% 1.97/0.64  % (27283)------------------------------
% 1.97/0.64  % (27283)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.97/0.64  % (27283)Termination reason: Refutation
% 1.97/0.64  
% 1.97/0.64  % (27283)Memory used [KB]: 6459
% 1.97/0.64  % (27283)Time elapsed: 0.251 s
% 1.97/0.64  % (27283)Instructions burned: 600 (million)
% 1.97/0.64  % (27280)Success in time 0.267 s
%------------------------------------------------------------------------------