TSTP Solution File: SWV200+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV200+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n022.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 04:02:50 EDT 2024

% Result   : Theorem 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  11 unt;   1 typ;   0 def)
%            Number of atoms       : 1574 ( 272 equ)
%            Maximal formula atoms :   51 (  60 avg)
%            Number of connectives :  499 ( 109   ~;  68   |; 305   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (  12 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       : 1158 (1158 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   27 (  25 usr;  19 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   54 (  45   !;   8   ?;  11   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_6,type,
    sQ3_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f364,plain,
    $false,
    inference(subsumption_resolution,[],[f363,f165]) ).

tff(f165,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f127]) ).

tff(f127,plain,
    ( ( use != a_select3(u_defuse,sK0,sK1) )
    & ( ( pv5 != sK1 )
      | ( n2 != sK0 ) )
    & ( ( pv5 != sK1 )
      | ( n1 != sK0 ) )
    & ( ( pv5 != sK1 )
      | ( n0 != sK0 ) )
    & leq(sK1,pred(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(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])],[f125,f126]) ).

tff(f126,plain,
    ( ? [X0,X1] :
        ( ( use != a_select3(u_defuse,X0,X1) )
        & ( ( pv5 != X1 )
          | ( n2 != X0 ) )
        & ( ( pv5 != X1 )
          | ( n1 != X0 ) )
        & ( ( pv5 != X1 )
          | ( n0 != X0 ) )
        & leq(X1,pred(pv5))
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( ( use != a_select3(u_defuse,sK0,sK1) )
      & ( ( pv5 != sK1 )
        | ( n2 != sK0 ) )
      & ( ( pv5 != sK1 )
        | ( n1 != sK0 ) )
      & ( ( pv5 != sK1 )
        | ( n0 != sK0 ) )
      & leq(sK1,pred(pv5))
      & leq(sK0,n2)
      & leq(n0,sK1)
      & leq(n0,sK0) ) ),
    introduced(choice_axiom,[]) ).

tff(f125,plain,
    ( ? [X0,X1] :
        ( ( use != a_select3(u_defuse,X0,X1) )
        & ( ( pv5 != X1 )
          | ( n2 != X0 ) )
        & ( ( pv5 != X1 )
          | ( n1 != X0 ) )
        & ( ( pv5 != X1 )
          | ( n0 != X0 ) )
        & leq(X1,pred(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(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,[],[f99]) ).

tff(f99,plain,
    ( ? [X4,X5] :
        ( ( use != a_select3(u_defuse,X4,X5) )
        & ( ( pv5 != X5 )
          | ( n2 != X4 ) )
        & ( ( pv5 != X5 )
          | ( n1 != X4 ) )
        & ( ( pv5 != X5 )
          | ( n0 != X4 ) )
        & leq(X5,pred(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(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,[],[f98]) ).

tff(f98,plain,
    ( ? [X4,X5] :
        ( ( use != a_select3(u_defuse,X4,X5) )
        & ( ( pv5 != X5 )
          | ( n2 != X4 ) )
        & ( ( pv5 != X5 )
          | ( n1 != X4 ) )
        & ( ( pv5 != X5 )
          | ( n0 != X4 ) )
        & leq(X5,pred(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(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]) ).

tff(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(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,pred(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(u_defuse,X4,X5) ) ) ) ),
    inference(rectify,[],[f54]) ).

tff(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(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,pred(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(u_defuse,X20,X21) ) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

tff(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(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,pred(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(u_defuse,X20,X21) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.9lijReIvNC/Vampire---4.8_22597',quaternion_ds1_inuse_0011) ).

tff(f363,plain,
    ~ leq(n0,sK0),
    inference(subsumption_resolution,[],[f362,f166]) ).

tff(f166,plain,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f127]) ).

tff(f362,plain,
    ( ~ leq(n0,sK1)
    | ~ leq(n0,sK0) ),
    inference(subsumption_resolution,[],[f361,f167]) ).

tff(f167,plain,
    leq(sK0,n2),
    inference(cnf_transformation,[],[f127]) ).

tff(f361,plain,
    ( ~ leq(sK0,n2)
    | ~ leq(n0,sK1)
    | ~ leq(n0,sK0) ),
    inference(subsumption_resolution,[],[f360,f246]) ).

tff(f246,plain,
    leq(sK1,minus(pv5,n1)),
    inference(definition_unfolding,[],[f168,f180]) ).

tff(f180,plain,
    ! [X0: $i] : ( minus(X0,n1) = pred(X0) ),
    inference(cnf_transformation,[],[f39]) ).

tff(f39,axiom,
    ! [X0] : ( minus(X0,n1) = pred(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.9lijReIvNC/Vampire---4.8_22597',pred_minus_1) ).

tff(f168,plain,
    leq(sK1,pred(pv5)),
    inference(cnf_transformation,[],[f127]) ).

tff(f360,plain,
    ( ~ leq(sK1,minus(pv5,n1))
    | ~ leq(sK0,n2)
    | ~ leq(n0,sK1)
    | ~ leq(n0,sK0) ),
    inference(resolution,[],[f281,f276]) ).

tff(f276,plain,
    ~ sQ3_eqProxy($i,use,a_select3(u_defuse,sK0,sK1)),
    inference(equality_proxy_replacement,[],[f172,f275]) ).

tff(f275,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ3_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).

tff(f172,plain,
    use != a_select3(u_defuse,sK0,sK1),
    inference(cnf_transformation,[],[f127]) ).

tff(f281,plain,
    ! [X4: $i,X5: $i] :
      ( sQ3_eqProxy($i,use,a_select3(u_defuse,X4,X5))
      | ~ leq(X5,minus(pv5,n1))
      | ~ leq(X4,n2)
      | ~ leq(n0,X5)
      | ~ leq(n0,X4) ),
    inference(equality_proxy_replacement,[],[f248,f275]) ).

tff(f248,plain,
    ! [X4: $i,X5: $i] :
      ( ( use = a_select3(u_defuse,X4,X5) )
      | ~ leq(X5,minus(pv5,n1))
      | ~ leq(X4,n2)
      | ~ leq(n0,X5)
      | ~ leq(n0,X4) ),
    inference(definition_unfolding,[],[f163,f180]) ).

tff(f163,plain,
    ! [X4: $i,X5: $i] :
      ( ( use = a_select3(u_defuse,X4,X5) )
      | ~ leq(X5,pred(pv5))
      | ~ leq(X4,n2)
      | ~ leq(n0,X5)
      | ~ leq(n0,X4) ),
    inference(cnf_transformation,[],[f127]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12  % Problem    : SWV200+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.02/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Apr 30 18:33:43 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a FOF_THM_RFO_SEQ problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.9lijReIvNC/Vampire---4.8_22597
% 0.60/0.82  % (22711)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  % (22714)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  % (22713)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  % (22716)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  % (22715)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  % (22712)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  % (22717)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  % (22718)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  % (22711)First to succeed.
% 0.60/0.83  % (22718)Also succeeded, but the first one will report.
% 0.60/0.83  % (22713)Also succeeded, but the first one will report.
% 0.60/0.83  % (22711)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  % (22711)------------------------------
% 0.60/0.83  % (22711)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.83  % (22711)Termination reason: Refutation
% 0.60/0.83  
% 0.60/0.83  % (22711)Memory used [KB]: 1160
% 0.60/0.83  % (22711)Time elapsed: 0.007 s
% 0.60/0.83  % (22711)Instructions burned: 11 (million)
% 0.60/0.83  % (22711)------------------------------
% 0.60/0.83  % (22711)------------------------------
% 0.60/0.83  % (22706)Success in time 0.49 s
% 0.60/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------