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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:08:22 PM UTC 2026

% Result   : Theorem 1.11s 0.71s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   63 (  18 unt;   4 def)
%            Number of atoms       :  394 ( 224 equ)
%            Maximal formula atoms :   45 (   6 avg)
%            Number of connectives :  427 (  96   ~;  91   |; 226   &)
%                                         (   4 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   5 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   42 (   0 sgn  36   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n0)
      & leq(pv5,n998)
      & ! [X0,X1] :
          ( ( leq(n0,X0)
            & leq(n0,X1)
            & leq(X0,n2)
            & leq(X1,pred(pv5)) )
         => a_select3(u_defuse,X0,X1) = use )
      & ! [X2,X3] :
          ( ( leq(n0,X2)
            & leq(n0,X3)
            & leq(X2,n2)
            & leq(X3,pred(pv5)) )
         => a_select3(z_defuse,X2,X3) = use ) )
   => ! [X4,X5] :
        ( ( leq(n0,X4)
          & leq(n0,X5)
          & leq(X4,n2)
          & leq(X5,pv5) )
       => a_select3(u_defuse,X4,X5) = use ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).

fof(f54,negated_conjecture,
    ~ ( ( a_select2(rho_defuse,n0) = use
        & a_select2(rho_defuse,n1) = use
        & a_select2(rho_defuse,n2) = use
        & a_select2(sigma_defuse,n0) = use
        & a_select2(sigma_defuse,n1) = use
        & a_select2(sigma_defuse,n2) = use
        & a_select2(sigma_defuse,n3) = use
        & a_select2(sigma_defuse,n4) = use
        & a_select2(sigma_defuse,n5) = use
        & a_select3(u_defuse,n0,n0) = use
        & a_select3(u_defuse,n1,n0) = use
        & a_select3(u_defuse,n2,n0) = use
        & a_select2(xinit_defuse,n3) = use
        & a_select2(xinit_defuse,n4) = use
        & a_select2(xinit_defuse,n5) = use
        & a_select2(xinit_mean_defuse,n0) = use
        & a_select2(xinit_mean_defuse,n1) = use
        & a_select2(xinit_mean_defuse,n2) = use
        & a_select2(xinit_mean_defuse,n3) = use
        & a_select2(xinit_mean_defuse,n4) = use
        & a_select2(xinit_mean_defuse,n5) = use
        & a_select2(xinit_noise_defuse,n0) = use
        & a_select2(xinit_noise_defuse,n1) = use
        & a_select2(xinit_noise_defuse,n2) = use
        & a_select2(xinit_noise_defuse,n3) = use
        & a_select2(xinit_noise_defuse,n4) = use
        & a_select2(xinit_noise_defuse,n5) = use
        & leq(n0,pv5)
        & leq(pv5,n0)
        & leq(pv5,n998)
        & ! [X0,X1] :
            ( ( leq(n0,X0)
              & leq(n0,X1)
              & leq(X0,n2)
              & leq(X1,pred(pv5)) )
           => a_select3(u_defuse,X0,X1) = use )
        & ! [X2,X3] :
            ( ( leq(n0,X2)
              & leq(n0,X3)
              & leq(X2,n2)
              & leq(X3,pred(pv5)) )
           => a_select3(z_defuse,X2,X3) = use ) )
     => ! [X4,X5] :
          ( ( leq(n0,X4)
            & leq(n0,X5)
            & leq(X4,n2)
            & leq(X5,pv5) )
         => a_select3(u_defuse,X4,X5) = use ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

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

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

fof(f143,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_defuse,X4,X5)
        & leq(n0,X4)
        & leq(n0,X5)
        & leq(X4,n2)
        & leq(X5,pv5) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,n0)
    & leq(pv5,n998)
    & ! [X0,X1] :
        ( a_select3(u_defuse,X0,X1) = use
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pred(pv5)) )
    & ! [X2,X3] :
        ( a_select3(z_defuse,X2,X3) = use
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,pred(pv5)) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f144,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_defuse,X4,X5)
        & leq(n0,X4)
        & leq(n0,X5)
        & leq(X4,n2)
        & leq(X5,pv5) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,n0)
    & leq(pv5,n998)
    & ! [X0,X1] :
        ( a_select3(u_defuse,X0,X1) = use
        | ~ leq(n0,X0)
        | ~ leq(n0,X1)
        | ~ leq(X0,n2)
        | ~ leq(X1,pred(pv5)) )
    & ! [X2,X3] :
        ( a_select3(z_defuse,X2,X3) = use
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,pred(pv5)) ) ),
    inference(flattening,[],[f143]) ).

fof(f149,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f150,plain,
    ! [X0] :
      ( X0 = n0
      | ~ leq(n0,X0)
      | ~ leq(X0,n0) ),
    inference(flattening,[],[f149]) ).

fof(f153,plain,
    ! [X0] :
      ( X0 = n0
      | X0 = n1
      | X0 = n2
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f154,plain,
    ! [X0] :
      ( X0 = n0
      | X0 = n1
      | X0 = n2
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(flattening,[],[f153]) ).

fof(f197,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_defuse,X0,X1)
        & leq(n0,X0)
        & leq(n0,X1)
        & leq(X0,n2)
        & leq(X1,pv5) )
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,n0)
    & leq(pv5,n998)
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,pred(pv5)) )
    & ! [X4,X5] :
        ( use = a_select3(z_defuse,X4,X5)
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,n2)
        | ~ leq(X5,pred(pv5)) ) ),
    inference(rectify,[],[f144]) ).

fof(f198,plain,
    ( use != a_select3(u_defuse,sK31,sK32)
    & leq(n0,sK31)
    & leq(n0,sK32)
    & leq(sK31,n2)
    & leq(sK32,pv5)
    & a_select2(rho_defuse,n0) = use
    & a_select2(rho_defuse,n1) = use
    & a_select2(rho_defuse,n2) = use
    & a_select2(sigma_defuse,n0) = use
    & a_select2(sigma_defuse,n1) = use
    & a_select2(sigma_defuse,n2) = use
    & a_select2(sigma_defuse,n3) = use
    & a_select2(sigma_defuse,n4) = use
    & a_select2(sigma_defuse,n5) = use
    & a_select3(u_defuse,n0,n0) = use
    & a_select3(u_defuse,n1,n0) = use
    & a_select3(u_defuse,n2,n0) = use
    & a_select2(xinit_defuse,n3) = use
    & a_select2(xinit_defuse,n4) = use
    & a_select2(xinit_defuse,n5) = use
    & a_select2(xinit_mean_defuse,n0) = use
    & a_select2(xinit_mean_defuse,n1) = use
    & a_select2(xinit_mean_defuse,n2) = use
    & a_select2(xinit_mean_defuse,n3) = use
    & a_select2(xinit_mean_defuse,n4) = use
    & a_select2(xinit_mean_defuse,n5) = use
    & a_select2(xinit_noise_defuse,n0) = use
    & a_select2(xinit_noise_defuse,n1) = use
    & a_select2(xinit_noise_defuse,n2) = use
    & a_select2(xinit_noise_defuse,n3) = use
    & a_select2(xinit_noise_defuse,n4) = use
    & a_select2(xinit_noise_defuse,n5) = use
    & leq(n0,pv5)
    & leq(pv5,n0)
    & leq(pv5,n998)
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(n0,X2)
        | ~ leq(n0,X3)
        | ~ leq(X2,n2)
        | ~ leq(X3,pred(pv5)) )
    & ! [X4,X5] :
        ( use = a_select3(z_defuse,X4,X5)
        | ~ leq(n0,X4)
        | ~ leq(n0,X5)
        | ~ leq(X4,n2)
        | ~ leq(X5,pred(pv5)) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).

fof(f312,plain,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f198]) ).

fof(f313,plain,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f198]) ).

fof(f329,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f198]) ).

fof(f330,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f198]) ).

fof(f331,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f198]) ).

fof(f341,plain,
    leq(sK32,pv5),
    inference(cnf_transformation,[],[f198]) ).

fof(f342,plain,
    leq(sK31,n2),
    inference(cnf_transformation,[],[f198]) ).

fof(f343,plain,
    leq(n0,sK32),
    inference(cnf_transformation,[],[f198]) ).

fof(f344,plain,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f198]) ).

fof(f345,plain,
    use != a_select3(u_defuse,sK31,sK32),
    inference(cnf_transformation,[],[f198]) ).

fof(f376,plain,
    ! [X0] :
      ( ~ leq(X0,n0)
      | ~ leq(n0,X0)
      | n0 = X0 ),
    inference(cnf_transformation,[],[f150]) ).

fof(f378,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | n1 = X0
      | n2 = X0
      | ~ leq(n0,X0)
      | n0 = X0 ),
    inference(cnf_transformation,[],[f154]) ).

fof(f718,definition,
    ( spl33_13
  <=> n0 = pv5 ),
    introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).

fof(f720,plain,
    ( n0 = pv5
    | ~ spl33_13 ),
    inference(avatar_component_clause,[],[f718]) ).

fof(f759,plain,
    ( leq(sK32,n0)
    | ~ spl33_13 ),
    inference(superposition,[],[f341,f720]) ).

fof(f872,plain,
    ( ~ leq(n0,pv5)
    | n0 = pv5 ),
    inference(resolution,[],[f376,f312]) ).

fof(f873,plain,
    ( ~ leq(n0,sK32)
    | n0 = sK32
    | ~ spl33_13 ),
    inference(resolution,[],[f376,f759]) ).

fof(f875,plain,
    ( n0 = sK32
    | ~ spl33_13 ),
    inference(forward_subsumption_resolution,[],[f873,f343]) ).

fof(f979,plain,
    ( n1 = sK31
    | n2 = sK31
    | ~ leq(n0,sK31)
    | n0 = sK31 ),
    inference(resolution,[],[f378,f342]) ).

fof(f980,plain,
    ( n1 = sK31
    | n2 = sK31
    | n0 = sK31 ),
    inference(forward_subsumption_resolution,[],[f979,f344]) ).

fof(f985,definition,
    ( spl33_25
  <=> n0 = sK31 ),
    introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).

fof(f987,plain,
    ( n0 = sK31
    | ~ spl33_25 ),
    inference(avatar_component_clause,[],[f985]) ).

fof(f989,definition,
    ( spl33_26
  <=> n2 = sK31 ),
    introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).

fof(f991,plain,
    ( n2 = sK31
    | ~ spl33_26 ),
    inference(avatar_component_clause,[],[f989]) ).

fof(f993,definition,
    ( spl33_27
  <=> n1 = sK31 ),
    introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).

fof(f995,plain,
    ( n1 = sK31
    | ~ spl33_27 ),
    inference(avatar_component_clause,[],[f993]) ).

fof(f996,plain,
    ( spl33_25
    | spl33_26
    | spl33_27 ),
    inference(avatar_split_clause,[],[f980,f993,f989,f985]) ).

fof(f1007,plain,
    ( use != a_select3(u_defuse,n0,sK32)
    | ~ spl33_25 ),
    inference(superposition,[],[f345,f987]) ).

fof(f1011,plain,
    ( use != a_select3(u_defuse,n0,n0)
    | ~ spl33_13
    | ~ spl33_25 ),
    inference(forward_demodulation,[],[f1007,f875]) ).

fof(f1013,plain,
    ( $false
    | ~ spl33_13
    | ~ spl33_25 ),
    inference(forward_subsumption_resolution,[],[f1011,f331]) ).

fof(f1014,plain,
    ( ~ spl33_13
    | ~ spl33_25 ),
    inference(avatar_contradiction_clause,[],[f1013]) ).

fof(f1052,plain,
    ( use != a_select3(u_defuse,n2,sK32)
    | ~ spl33_26 ),
    inference(superposition,[],[f345,f991]) ).

fof(f1057,plain,
    ( use != a_select3(u_defuse,n2,n0)
    | ~ spl33_13
    | ~ spl33_26 ),
    inference(forward_demodulation,[],[f1052,f875]) ).

fof(f1059,plain,
    ( $false
    | ~ spl33_13
    | ~ spl33_26 ),
    inference(forward_subsumption_resolution,[],[f1057,f329]) ).

fof(f1060,plain,
    ( ~ spl33_13
    | ~ spl33_26 ),
    inference(avatar_contradiction_clause,[],[f1059]) ).

fof(f1067,plain,
    ( use != a_select3(u_defuse,n1,sK32)
    | ~ spl33_27 ),
    inference(superposition,[],[f345,f995]) ).

fof(f1073,plain,
    ( use != a_select3(u_defuse,n1,n0)
    | ~ spl33_13
    | ~ spl33_27 ),
    inference(forward_demodulation,[],[f1067,f875]) ).

fof(f1075,plain,
    ( $false
    | ~ spl33_13
    | ~ spl33_27 ),
    inference(forward_subsumption_resolution,[],[f1073,f330]) ).

fof(f1076,plain,
    ( ~ spl33_13
    | ~ spl33_27 ),
    inference(avatar_contradiction_clause,[],[f1075]) ).

fof(f1079,plain,
    n0 = pv5,
    inference(forward_subsumption_resolution,[],[f872,f313]) ).

fof(f1114,plain,
    spl33_13,
    inference(avatar_split_clause,[],[f1079,f718]) ).

cnf(s17,plain,
    ( spl33_25
    | spl33_26
    | spl33_27 ),
    inference(sat_conversion,[],[f996]) ).

cnf(s20,plain,
    ( ~ spl33_13
    | ~ spl33_25 ),
    inference(sat_conversion,[],[f1014]) ).

cnf(s23,plain,
    ( ~ spl33_13
    | ~ spl33_26 ),
    inference(sat_conversion,[],[f1060]) ).

cnf(s25,plain,
    ( ~ spl33_13
    | ~ spl33_27 ),
    inference(sat_conversion,[],[f1076]) ).

cnf(s30,plain,
    spl33_13,
    inference(sat_conversion,[],[f1114]) ).

cnf(s35,plain,
    ~ spl33_27,
    inference(rat,[],[s25,s30]) ).

cnf(s36,plain,
    ~ spl33_26,
    inference(rat,[],[s23,s30]) ).

cnf(s37,plain,
    ~ spl33_25,
    inference(rat,[],[s20,s30]) ).

cnf(s38,plain,
    $false,
    inference(rat,[],[s17,s35,s36,s37]) ).

fof(f1142,plain,
    $false,
    inference(avatar_sat_refutation,[],[s38]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18  % Computer : n020.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 10:09:49 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22  Running first-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.11/0.71  % (72823)Detected formulas, will run a generic FOF schedule.
% 1.11/0.71  % (72833)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3854572303:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.11/0.71  % (72833)First to succeed.
% 1.11/0.71  % (72833)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-72823"
% 1.11/0.71  % (72830)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3739236395:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.11/0.71  % (72831)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3561808594:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.11/0.71  % (72829)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3176124606:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.11/0.71  % (72828)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=808685905:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.11/0.71  % (72832)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=595666749:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.11/0.71  % (72831)Also succeeded, but the first one will report.
% 1.11/0.71  % (72834)dis-21_1_sil=8000:lcm=predicate:random_seed=3109943381:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.11/0.71  % (72832)Instruction limit reached! 
% 1.11/0.71  % (72832)------------------------------
% 1.11/0.71  % (72832)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.11/0.71  % (72832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.71  % (72832)CaDiCaL version: 2.1.3
% 1.11/0.71  % (72832)Termination reason: Instruction limit
% 1.11/0.71  % (72832)Termination phase: Saturation
% 1.11/0.71  % (72832)Time elapsed: 0.068 s
% 1.11/0.71  % (72832)Peak memory usage: 88 MB
% 1.11/0.71  % (72832)Instructions burned: 120 (million)
% 1.11/0.71  % (72834)Instruction limit reached! 
% 1.11/0.71  % (72834)------------------------------
% 1.11/0.71  % (72834)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.11/0.71  % (72834)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.11/0.71  % (72834)CaDiCaL version: 2.1.3
% 1.11/0.71  % (72834)Termination reason: Instruction limit
% 1.11/0.71  % (72834)Termination phase: Saturation
% 1.11/0.71  % (72834)Time elapsed: 0.066 s
% 1.11/0.71  % (72834)Peak memory usage: 88 MB
% 1.11/0.71  % (72834)Instructions burned: 130 (million)
% 1.11/0.71  % (72833)Refutation found. Thanks to Tanya!
% 1.11/0.71  % SZS status Theorem for theBenchmark
% 1.11/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.90  % (72833)------------------------------
% 0.20/0.90  % (72833)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/0.90  % (72833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.90  % (72833)CaDiCaL version: 2.1.3
% 0.20/0.90  % (72833)Termination reason: Refutation
% 0.20/0.90  % (72833)Time elapsed: 0.014 s
% 0.20/0.90  % (72833)Peak memory usage: 90 MB
% 0.20/0.90  % (72833)Instructions burned: 37 (million)
% 0.20/0.90  % (72833)------------------------------
% 0.20/0.90  % (72833)------------------------------
% 0.20/0.90  % (72823)Success in time 0.29 s
% 0.20/0.90  % Vampire exiting
%------------------------------------------------------------------------------