TSTP Solution File: SWV199+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% 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 : Fri May  3 03:13:43 EDT 2024

% Result   : Theorem 3.76s 1.15s
% Output   : CNFRefutation 3.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   54 (  18 unt;   0 def)
%            Number of atoms       :  480 ( 312 equ)
%            Maximal formula atoms :   51 (   8 avg)
%            Number of connectives :  558 ( 132   ~;  99   |; 308   &)
%                                         (   0 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   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   :   68 (   0 sgn  54   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X1,X2)
        & leq(X0,X1) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/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) )
       => ( ( ~ ( pv5 = X21
                & n2 = X20 )
            & ~ ( pv5 = X21
                & n1 = X20 )
            & ~ ( pv5 = X21
                & n0 = X20 ) )
         => use = a_select3(z_defuse,X20,X21) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0010) ).

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) )
         => ( ( ~ ( pv5 = X21
                  & n2 = X20 )
              & ~ ( pv5 = X21
                  & n1 = X20 )
              & ~ ( pv5 = X21
                  & n0 = X20 ) )
           => use = a_select3(z_defuse,X20,X21) ) ) ),
    inference(negated_conjecture,[],[f53]) ).

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

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

fof(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) )
         => ( ( ~ ( pv5 = X5
                  & n2 = X4 )
              & ~ ( pv5 = X5
                  & n1 = X4 )
              & ~ ( pv5 = X5
                  & n0 = X4 ) )
           => use = a_select3(z_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(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) )
    & 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(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) )
    & 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(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(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) )
    & 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(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,sK31,sK32)
      & ( pv5 != sK32
        | n2 != sK31 )
      & ( pv5 != sK32
        | n1 != sK31 )
      & ( pv5 != sK32
        | n0 != sK31 )
      & leq(sK32,pv5)
      & leq(sK31,n2)
      & leq(n0,sK32)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f226,plain,
    ( use != a_select3(z_defuse,sK31,sK32)
    & ( pv5 != sK32
      | n2 != sK31 )
    & ( pv5 != sK32
      | n1 != sK31 )
    & ( pv5 != sK32
      | n0 != sK31 )
    & 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(f364,plain,
    leq(n0,pv5),
    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,
    ( pv5 != sK32
    | n0 != sK31 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f374,plain,
    ( pv5 != sK32
    | n1 != sK31 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f375,plain,
    ( pv5 != sK32
    | n2 != sK31 ),
    inference(cnf_transformation,[],[f226]) ).

fof(f407,plain,
    ! [X0] :
      ( n0 = X0
      | ~ leq(X0,n0)
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f163]) ).

fof(f409,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_158,negated_conjecture,
    ( n2 != sK31
    | sK32 != pv5 ),
    inference(cnf_transformation,[],[f375]) ).

cnf(c_159,negated_conjecture,
    ( n1 != sK31
    | sK32 != pv5 ),
    inference(cnf_transformation,[],[f374]) ).

cnf(c_160,negated_conjecture,
    ( n0 != sK31
    | sK32 != pv5 ),
    inference(cnf_transformation,[],[f373]) ).

cnf(c_161,negated_conjecture,
    leq(sK32,pv5),
    inference(cnf_transformation,[],[f372]) ).

cnf(c_162,negated_conjecture,
    leq(sK31,n2),
    inference(cnf_transformation,[],[f371]) ).

cnf(c_163,negated_conjecture,
    leq(n0,sK32),
    inference(cnf_transformation,[],[f370]) ).

cnf(c_164,negated_conjecture,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f369]) ).

cnf(c_168,negated_conjecture,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_169,negated_conjecture,
    leq(n0,pv5),
    inference(cnf_transformation,[],[f364]) ).

cnf(c_227,plain,
    ( ~ leq(X0,n0)
    | ~ leq(n0,X0)
    | X0 = n0 ),
    inference(cnf_transformation,[],[f407]) ).

cnf(c_229,plain,
    ( ~ leq(X0,n2)
    | ~ leq(n0,X0)
    | X0 = n1
    | X0 = n0
    | X0 = n2 ),
    inference(cnf_transformation,[],[f409]) ).

cnf(c_9281,plain,
    ( ~ leq(X0,pv5)
    | leq(X0,n0) ),
    inference(superposition,[status(thm)],[c_168,c_53]) ).

cnf(c_9293,plain,
    ( ~ leq(sK32,n0)
    | n0 = sK32 ),
    inference(superposition,[status(thm)],[c_163,c_227]) ).

cnf(c_9295,plain,
    ( ~ leq(pv5,n0)
    | n0 = pv5 ),
    inference(superposition,[status(thm)],[c_169,c_227]) ).

cnf(c_9322,plain,
    ( ~ leq(sK31,n2)
    | n1 = sK31
    | n0 = sK31
    | n2 = sK31 ),
    inference(superposition,[status(thm)],[c_164,c_229]) ).

cnf(c_9542,plain,
    leq(sK32,n0),
    inference(superposition,[status(thm)],[c_161,c_9281]) ).

cnf(c_9643,plain,
    n0 = pv5,
    inference(global_subsumption_just,[status(thm)],[c_9295,c_168,c_9295]) ).

cnf(c_9649,plain,
    ( n1 != sK31
    | n0 != sK32 ),
    inference(superposition,[status(thm)],[c_9643,c_159]) ).

cnf(c_9650,plain,
    ( n0 != sK31
    | n0 != sK32 ),
    inference(superposition,[status(thm)],[c_9643,c_160]) ).

cnf(c_9695,negated_conjecture,
    sK32 != pv5,
    inference(global_subsumption_just,[status(thm)],[c_160,c_162,c_158,c_9293,c_9322,c_9542,c_9650,c_9649]) ).

cnf(c_9839,plain,
    ( ~ leq(pv5,n0)
    | n0 = pv5 ),
    inference(superposition,[status(thm)],[c_169,c_227]) ).

cnf(c_10683,plain,
    n0 = pv5,
    inference(global_subsumption_just,[status(thm)],[c_9839,c_168,c_9295]) ).

cnf(c_10689,plain,
    n0 != sK32,
    inference(superposition,[status(thm)],[c_10683,c_9695]) ).

cnf(c_10694,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10689,c_9542,c_9293]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV199+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : run_iprover %s %d THM
% 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 : Fri May  3 00:19:42 EDT 2024
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  Running first-order theorem proving
% 0.18/0.45  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.76/1.15  % SZS status Started for theBenchmark.p
% 3.76/1.15  % SZS status Theorem for theBenchmark.p
% 3.76/1.15  
% 3.76/1.15  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.76/1.15  
% 3.76/1.15  ------  iProver source info
% 3.76/1.15  
% 3.76/1.15  git: date: 2024-05-02 19:28:25 +0000
% 3.76/1.15  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.76/1.15  git: non_committed_changes: false
% 3.76/1.15  
% 3.76/1.15  ------ Parsing...
% 3.76/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.76/1.15  
% 3.76/1.15  ------ Preprocessing... sup_sim: 17  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.76/1.15  
% 3.76/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.76/1.15  
% 3.76/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.76/1.15  ------ Proving...
% 3.76/1.15  ------ Problem Properties 
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  clauses                                 187
% 3.76/1.15  conjectures                             40
% 3.76/1.15  EPR                                     53
% 3.76/1.15  Horn                                    137
% 3.76/1.15  unary                                   88
% 3.76/1.15  binary                                  37
% 3.76/1.15  lits                                    537
% 3.76/1.15  lits eq                                 149
% 3.76/1.15  fd_pure                                 0
% 3.76/1.15  fd_pseudo                               0
% 3.76/1.15  fd_cond                                 6
% 3.76/1.15  fd_pseudo_cond                          4
% 3.76/1.15  AC symbols                              0
% 3.76/1.15  
% 3.76/1.15  ------ Input Options Time Limit: Unbounded
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  ------ 
% 3.76/1.15  Current options:
% 3.76/1.15  ------ 
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  ------ Proving...
% 3.76/1.15  
% 3.76/1.15  
% 3.76/1.15  % SZS status Theorem for theBenchmark.p
% 3.76/1.15  
% 3.76/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.76/1.15  
% 3.76/1.16  
%------------------------------------------------------------------------------