TSTP Solution File: SWV198+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV198+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 : Fri May  3 03:13:43 EDT 2024

% Result   : Theorem 4.35s 1.18s
% Output   : CNFRefutation 4.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   63 (  24 unt;   0 def)
%            Number of atoms       :  453 ( 275 equ)
%            Maximal formula atoms :   45 (   7 avg)
%            Number of connectives :  475 (  85   ~;  97   |; 276   &)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   73 (   0 sgn  58   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_leq) ).

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) )
      & 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) )
       => use = a_select3(u_defuse,X20,X21) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).

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) )
        & 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) )
         => use = a_select3(u_defuse,X20,X21) ) ),
    inference(negated_conjecture,[],[f53]) ).

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

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

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

fof(f114,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) )
        & 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) )
         => use = a_select3(u_defuse,X4,X5) ) ),
    inference(rectify,[],[f54]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f118]) ).

fof(f156,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_defuse,X4,X5)
        & 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) )
    & 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,[],[f114]) ).

fof(f157,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_defuse,X4,X5)
        & 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) )
    & 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,[],[f156]) ).

fof(f162,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f85]) ).

fof(f163,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f162]) ).

fof(f164,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | ~ leq(X0,n1)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f86]) ).

fof(f165,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | ~ leq(X0,n1)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f164]) ).

fof(f166,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f167,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f166]) ).

fof(f224,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_defuse,X0,X1)
        & 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) )
    & 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,[],[f157]) ).

fof(f225,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_defuse,X0,X1)
        & leq(X1,pv5)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( use != a_select3(u_defuse,sK31,sK32)
      & leq(sK32,pv5)
      & leq(sK31,n2)
      & leq(n0,sK32)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f226,plain,
    ( use != a_select3(u_defuse,sK31,sK32)
    & leq(sK32,pv5)
    & leq(sK31,n2)
    & leq(n0,sK32)
    & leq(n0,sK31)
    & ! [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) )
    & 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,[sK31,sK32])],[f224,f225]) ).

fof(f231,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f346,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f226]) ).

fof(f347,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f226]) ).

fof(f348,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f226]) ).

fof(f365,plain,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f226]) ).

fof(f369,plain,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f226]) ).

fof(f370,plain,
    leq(n0,sK32),
    inference(cnf_transformation,[],[f226]) ).

fof(f371,plain,
    leq(sK31,n2),
    inference(cnf_transformation,[],[f226]) ).

fof(f372,plain,
    leq(sK32,pv5),
    inference(cnf_transformation,[],[f226]) ).

fof(f373,plain,
    use != a_select3(u_defuse,sK31,sK32),
    inference(cnf_transformation,[],[f226]) ).

fof(f404,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f405,plain,
    ! [X0] :
      ( n1 = X0
      | n0 = X0
      | ~ leq(X0,n1)
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f165]) ).

fof(f406,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_53,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X2)
    | leq(X0,X2) ),
    inference(cnf_transformation,[],[f231]) ).

cnf(c_157,negated_conjecture,
    a_select3(u_defuse,sK31,sK32) != use,
    inference(cnf_transformation,[],[f373]) ).

cnf(c_158,negated_conjecture,
    leq(sK32,pv5),
    inference(cnf_transformation,[],[f372]) ).

cnf(c_159,negated_conjecture,
    leq(sK31,n2),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_160,negated_conjecture,
    leq(n0,sK32),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_161,negated_conjecture,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_165,negated_conjecture,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_182,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f348]) ).

cnf(c_183,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f347]) ).

cnf(c_184,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_224,plain,
    ( ~ leq(X0,n0)
    | ~ leq(n0,X0)
    | X0 = n0 ),
    inference(cnf_transformation,[],[f404]) ).

cnf(c_225,plain,
    ( ~ leq(X0,n1)
    | ~ leq(n0,X0)
    | X0 = n1
    | X0 = n0 ),
    inference(cnf_transformation,[],[f405]) ).

cnf(c_226,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | X0 = n1
    | X0 = n0
    | X0 = n2 ),
    inference(cnf_transformation,[],[f406]) ).

cnf(c_9170,plain,
    ( ~ leq(X0,pv5)
    | leq(X0,n0) ),
    inference(superposition,[status(thm)],[c_165,c_53]) ).

cnf(c_9182,plain,
    ( ~ leq(sK32,n0)
    | n0 = sK32 ),
    inference(superposition,[status(thm)],[c_160,c_224]) ).

cnf(c_9183,plain,
    ( ~ leq(sK31,n0)
    | n0 = sK31 ),
    inference(superposition,[status(thm)],[c_161,c_224]) ).

cnf(c_9196,plain,
    ( ~ leq(sK31,n1)
    | n1 = sK31
    | n0 = sK31 ),
    inference(superposition,[status(thm)],[c_161,c_225]) ).

cnf(c_9211,plain,
    ( ~ leq(sK31,n2)
    | n1 = sK31
    | n0 = sK31
    | n2 = sK31 ),
    inference(superposition,[status(thm)],[c_161,c_226]) ).

cnf(c_9436,plain,
    leq(sK32,n0),
    inference(superposition,[status(thm)],[c_158,c_9170]) ).

cnf(c_9552,plain,
    n0 = sK32,
    inference(global_subsumption_just,[status(thm)],[c_9182,c_9182,c_9436]) ).

cnf(c_9555,plain,
    a_select3(u_defuse,sK31,n0) != use,
    inference(superposition,[status(thm)],[c_9552,c_157]) ).

cnf(c_9605,plain,
    ( n1 = sK31
    | n0 = sK31
    | n2 = sK31 ),
    inference(global_subsumption_just,[status(thm)],[c_9211,c_159,c_9211]) ).

cnf(c_9613,plain,
    ( ~ leq(n2,n1)
    | n1 = sK31
    | n0 = sK31 ),
    inference(superposition,[status(thm)],[c_9605,c_9196]) ).

cnf(c_9614,plain,
    ( ~ leq(n2,n0)
    | n1 = sK31
    | n0 = sK31 ),
    inference(superposition,[status(thm)],[c_9605,c_9183]) ).

cnf(c_10993,plain,
    ( a_select3(u_defuse,n2,n0) != use
    | n1 = sK31
    | n0 = sK31 ),
    inference(superposition,[status(thm)],[c_9605,c_9555]) ).

cnf(c_11088,plain,
    ( n1 = sK31
    | n0 = sK31 ),
    inference(global_subsumption_just,[status(thm)],[c_9614,c_182,c_10993]) ).

cnf(c_11094,plain,
    ( a_select3(u_defuse,n0,n0) != use
    | n1 = sK31 ),
    inference(superposition,[status(thm)],[c_11088,c_9555]) ).

cnf(c_11100,plain,
    n1 = sK31,
    inference(global_subsumption_just,[status(thm)],[c_9613,c_184,c_11094]) ).

cnf(c_11102,plain,
    a_select3(u_defuse,n1,n0) != use,
    inference(superposition,[status(thm)],[c_11100,c_9555]) ).

cnf(c_11108,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_183,c_11102]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV198+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Fri May  3 00:09:18 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.35/1.18  % SZS status Started for theBenchmark.p
% 4.35/1.18  % SZS status Theorem for theBenchmark.p
% 4.35/1.18  
% 4.35/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.35/1.18  
% 4.35/1.18  ------  iProver source info
% 4.35/1.18  
% 4.35/1.18  git: date: 2024-05-02 19:28:25 +0000
% 4.35/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.35/1.18  git: non_committed_changes: false
% 4.35/1.18  
% 4.35/1.18  ------ Parsing...
% 4.35/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.35/1.18  
% 4.35/1.18  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.35/1.18  
% 4.35/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.35/1.18  
% 4.35/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.35/1.18  ------ Proving...
% 4.35/1.18  ------ Problem Properties 
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  clauses                                 184
% 4.35/1.18  conjectures                             37
% 4.35/1.18  EPR                                     50
% 4.35/1.18  Horn                                    134
% 4.35/1.18  unary                                   88
% 4.35/1.18  binary                                  34
% 4.35/1.18  lits                                    531
% 4.35/1.18  lits eq                                 143
% 4.35/1.18  fd_pure                                 0
% 4.35/1.18  fd_pseudo                               0
% 4.35/1.18  fd_cond                                 6
% 4.35/1.18  fd_pseudo_cond                          4
% 4.35/1.18  AC symbols                              0
% 4.35/1.18  
% 4.35/1.18  ------ Input Options Time Limit: Unbounded
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  ------ 
% 4.35/1.18  Current options:
% 4.35/1.18  ------ 
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  ------ Proving...
% 4.35/1.18  
% 4.35/1.18  
% 4.35/1.18  % SZS status Theorem for theBenchmark.p
% 4.35/1.18  
% 4.35/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.35/1.18  
% 4.35/1.19  
%------------------------------------------------------------------------------