TSTP Solution File: SWV196+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n023.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 May  1 04:02:49 EDT 2024

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   36 (  13 unt;   0 def)
%            Number of atoms       :  444 ( 269 equ)
%            Maximal formula atoms :   52 (  12 avg)
%            Number of connectives :  528 ( 120   ~;  75   |; 314   &)
%                                         (   2 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   68 (  60   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f388,plain,
    $false,
    inference(subsumption_resolution,[],[f382,f294]) ).

fof(f294,plain,
    leq(n0,pred(pv5)),
    inference(resolution,[],[f154,f168]) ).

fof(f168,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.dSBFRO8fRF/Vampire---4.8_28726',leq_gt_pred) ).

fof(f154,plain,
    gt(pv5,n0),
    inference(cnf_transformation,[],[f120]) ).

fof(f120,plain,
    ( use != a_select3(z_defuse,sK0,sK1)
    & ( pv5 != sK1
      | n2 != sK0 )
    & ( pv5 != sK1
      | n1 != sK0 )
    & ( pv5 != sK1
      | n0 != sK0 )
    & leq(sK1,pv5)
    & leq(sK0,n2)
    & leq(n0,sK1)
    & leq(n0,sK0)
    & ! [X2,X3] :
        ( use = a_select3(z_defuse,X2,X3)
        | ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & ! [X4,X5] :
        ( use = a_select3(u_defuse,X4,X5)
        | ~ leq(X5,pred(pv5))
        | ~ leq(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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,[sK0,sK1])],[f118,f119]) ).

fof(f119,plain,
    ( ? [X0,X1] :
        ( use != a_select3(z_defuse,X0,X1)
        & ( pv5 != X1
          | n2 != X0 )
        & ( pv5 != X1
          | n1 != X0 )
        & ( pv5 != X1
          | n0 != X0 )
        & leq(X1,pv5)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( use != a_select3(z_defuse,sK0,sK1)
      & ( pv5 != sK1
        | n2 != sK0 )
      & ( pv5 != sK1
        | n1 != sK0 )
      & ( pv5 != sK1
        | n0 != sK0 )
      & leq(sK1,pv5)
      & leq(sK0,n2)
      & leq(n0,sK1)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

fof(f118,plain,
    ( ? [X0,X1] :
        ( use != a_select3(z_defuse,X0,X1)
        & ( pv5 != X1
          | n2 != X0 )
        & ( pv5 != X1
          | n1 != X0 )
        & ( pv5 != X1
          | n0 != X0 )
        & leq(X1,pv5)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
    & ! [X2,X3] :
        ( use = a_select3(z_defuse,X2,X3)
        | ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & ! [X4,X5] :
        ( use = a_select3(u_defuse,X4,X5)
        | ~ leq(X5,pred(pv5))
        | ~ leq(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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,[],[f96]) ).

fof(f96,plain,
    ( ? [X4,X5] :
        ( use != a_select3(z_defuse,X4,X5)
        & ( pv5 != X5
          | n2 != X4 )
        & ( pv5 != X5
          | n1 != X4 )
        & ( pv5 != X5
          | n0 != X4 )
        & leq(X5,pv5)
        & leq(X4,n2)
        & leq(n0,X5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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,[],[f95]) ).

fof(f95,plain,
    ( ? [X4,X5] :
        ( use != a_select3(z_defuse,X4,X5)
        & ( pv5 != X5
          | n2 != X4 )
        & ( pv5 != X5
          | n1 != X4 )
        & ( pv5 != X5
          | n0 != X4 )
        & leq(X5,pv5)
        & leq(X4,n2)
        & leq(n0,X5)
        & leq(n0,X4) )
    & ! [X0,X1] :
        ( use = a_select3(z_defuse,X0,X1)
        | ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0) )
    & ! [X2,X3] :
        ( use = a_select3(u_defuse,X2,X3)
        | ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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,pred(pv5))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => use = a_select3(z_defuse,X0,X1) )
        & ! [X2,X3] :
            ( ( leq(X3,pred(pv5))
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
           => use = a_select3(u_defuse,X2,X3) )
        & gt(pv5,n0)
        & leq(pv5,n998)
        & leq(pv5,n0)
        & leq(n0,pv5)
        & 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,X5] :
          ( ( leq(X5,pv5)
            & leq(X4,n2)
            & leq(n0,X5)
            & leq(n0,X4) )
         => ( ( ~ ( pv5 = X5
                  & n2 = X4 )
              & ~ ( pv5 = X5
                  & n1 = X4 )
              & ~ ( pv5 = X5
                  & n0 = X4 ) )
           => use = a_select3(z_defuse,X4,X5) ) ) ),
    inference(rectify,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X3,X19] :
            ( ( leq(X19,pred(pv5))
              & leq(X3,n2)
              & leq(n0,X19)
              & leq(n0,X3) )
           => use = a_select3(z_defuse,X3,X19) )
        & ! [X13,X17] :
            ( ( leq(X17,pred(pv5))
              & leq(X13,n2)
              & leq(n0,X17)
              & leq(n0,X13) )
           => use = a_select3(u_defuse,X13,X17) )
        & gt(pv5,n0)
        & leq(pv5,n998)
        & leq(pv5,n0)
        & leq(n0,pv5)
        & 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,X21] :
          ( ( leq(X21,pv5)
            & leq(X20,n2)
            & leq(n0,X21)
            & leq(n0,X20) )
         => ( ( ~ ( pv5 = X21
                  & n2 = X20 )
              & ~ ( pv5 = X21
                  & n1 = X20 )
              & ~ ( pv5 = X21
                  & n0 = X20 ) )
           => use = a_select3(z_defuse,X20,X21) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ! [X3,X19] :
          ( ( leq(X19,pred(pv5))
            & leq(X3,n2)
            & leq(n0,X19)
            & leq(n0,X3) )
         => use = a_select3(z_defuse,X3,X19) )
      & ! [X13,X17] :
          ( ( leq(X17,pred(pv5))
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => use = a_select3(u_defuse,X13,X17) )
      & gt(pv5,n0)
      & leq(pv5,n998)
      & leq(pv5,n0)
      & leq(n0,pv5)
      & 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,X21] :
        ( ( leq(X21,pv5)
          & leq(X20,n2)
          & leq(n0,X21)
          & leq(n0,X20) )
       => ( ( ~ ( pv5 = X21
                & n2 = X20 )
            & ~ ( pv5 = X21
                & n1 = X20 )
            & ~ ( pv5 = X21
                & n0 = X20 ) )
         => use = a_select3(z_defuse,X20,X21) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.dSBFRO8fRF/Vampire---4.8_28726',quaternion_ds1_inuse_0007) ).

fof(f382,plain,
    ~ leq(n0,pred(pv5)),
    inference(resolution,[],[f345,f152]) ).

fof(f152,plain,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f120]) ).

fof(f345,plain,
    ! [X0] :
      ( ~ leq(X0,pred(pv5))
      | ~ leq(pv5,X0) ),
    inference(resolution,[],[f341,f175]) ).

fof(f175,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f104]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.dSBFRO8fRF/Vampire---4.8_28726',transitivity_leq) ).

fof(f341,plain,
    ~ leq(pv5,pred(pv5)),
    inference(resolution,[],[f334,f160]) ).

fof(f160,plain,
    leq(sK1,pv5),
    inference(cnf_transformation,[],[f120]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ leq(X0,pred(pv5))
      | ~ leq(sK1,X0) ),
    inference(resolution,[],[f333,f175]) ).

fof(f333,plain,
    ~ leq(sK1,pred(pv5)),
    inference(subsumption_resolution,[],[f332,f157]) ).

fof(f157,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f120]) ).

fof(f332,plain,
    ( ~ leq(sK1,pred(pv5))
    | ~ leq(n0,sK0) ),
    inference(subsumption_resolution,[],[f331,f158]) ).

fof(f158,plain,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f120]) ).

fof(f331,plain,
    ( ~ leq(sK1,pred(pv5))
    | ~ leq(n0,sK1)
    | ~ leq(n0,sK0) ),
    inference(subsumption_resolution,[],[f330,f159]) ).

fof(f159,plain,
    leq(sK0,n2),
    inference(cnf_transformation,[],[f120]) ).

fof(f330,plain,
    ( ~ leq(sK1,pred(pv5))
    | ~ leq(sK0,n2)
    | ~ leq(n0,sK1)
    | ~ leq(n0,sK0) ),
    inference(resolution,[],[f228,f224]) ).

fof(f224,plain,
    ~ sQ2_eqProxy(use,a_select3(z_defuse,sK0,sK1)),
    inference(equality_proxy_replacement,[],[f164,f223]) ).

fof(f223,plain,
    ! [X0,X1] :
      ( sQ2_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ2_eqProxy])]) ).

fof(f164,plain,
    use != a_select3(z_defuse,sK0,sK1),
    inference(cnf_transformation,[],[f120]) ).

fof(f228,plain,
    ! [X2,X3] :
      ( sQ2_eqProxy(use,a_select3(z_defuse,X2,X3))
      | ~ leq(X3,pred(pv5))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(equality_proxy_replacement,[],[f156,f223]) ).

fof(f156,plain,
    ! [X2,X3] :
      ( use = a_select3(z_defuse,X2,X3)
      | ~ leq(X3,pred(pv5))
      | ~ leq(X2,n2)
      | ~ leq(n0,X3)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f120]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Apr 30 18:49:40 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.14/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.dSBFRO8fRF/Vampire---4.8_28726
% 0.60/0.82  % (28923)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.82  % (28921)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.82  % (28922)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.82  % (28927)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.82  % (28924)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.82  % (28925)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.82  % (28926)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.82  % (28928)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.83  % (28928)First to succeed.
% 0.60/0.83  % (28926)Also succeeded, but the first one will report.
% 0.60/0.83  % (28924)Also succeeded, but the first one will report.
% 0.60/0.83  % (28928)Refutation found. Thanks to Tanya!
% 0.60/0.83  % SZS status Theorem for Vampire---4
% 0.60/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.60/0.83  % (28928)------------------------------
% 0.60/0.83  % (28928)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (28928)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (28928)Memory used [KB]: 1174
% 0.60/0.83  % (28928)Time elapsed: 0.008 s
% 0.60/0.83  % (28928)Instructions burned: 10 (million)
% 0.60/0.83  % (28928)------------------------------
% 0.60/0.83  % (28928)------------------------------
% 0.60/0.83  % (28886)Success in time 0.472 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------