TSTP Solution File: SWV202+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV202+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n015.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 : Sun May  5 10:47:12 EDT 2024

% Result   : Theorem 137.08s 19.95s
% Output   : Refutation 137.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   57 (  25 unt;   0 def)
%            Number of atoms       :  477 ( 295 equ)
%            Maximal formula atoms :   51 (   8 avg)
%            Number of connectives :  550 ( 130   ~;  90   |; 309   &)
%                                         (   2 <=>;  19  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   40 (   7 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  18 con; 0-3 aty)
%            Number of variables   :   89 (  81   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1513787,plain,
    $false,
    inference(subsumption_resolution,[],[f1513782,f1513010]) ).

fof(f1513010,plain,
    n0 != sK14,
    inference(unit_resulting_resolution,[],[f1512788,f297]) ).

fof(f297,plain,
    ( pv5 != sK15
    | n0 != sK14 ),
    inference(cnf_transformation,[],[f196]) ).

fof(f196,plain,
    ( use != a_select3(u_defuse,sK14,sK15)
    & ( pv5 != sK15
      | n2 != sK14 )
    & ( pv5 != sK15
      | n1 != sK14 )
    & ( pv5 != sK15
      | n0 != sK14 )
    & leq(sK15,pv5)
    & leq(sK14,n2)
    & leq(n0,sK15)
    & leq(n0,sK14)
    & ! [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,[sK14,sK15])],[f194,f195]) ).

fof(f195,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_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(u_defuse,sK14,sK15)
      & ( pv5 != sK15
        | n2 != sK14 )
      & ( pv5 != sK15
        | n1 != sK14 )
      & ( pv5 != sK15
        | n0 != sK14 )
      & leq(sK15,pv5)
      & leq(sK14,n2)
      & leq(n0,sK15)
      & leq(n0,sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f194,plain,
    ( ? [X0,X1] :
        ( use != a_select3(u_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(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,[],[f117]) ).

fof(f117,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_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(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,[],[f116]) ).

fof(f116,plain,
    ( ? [X4,X5] :
        ( use != a_select3(u_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(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(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(u_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(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(u_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(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(u_defuse,X20,X21) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0013) ).

fof(f1512788,plain,
    pv5 = sK15,
    inference(unit_resulting_resolution,[],[f1001011,f1512537,f360]) ).

fof(f360,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | gt(X0,X1)
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality) ).

fof(f1512537,plain,
    ~ gt(pv5,sK15),
    inference(forward_demodulation,[],[f1512535,f340]) ).

fof(f340,plain,
    ! [X0] : succ(pred(X0)) = X0,
    inference(cnf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] : succ(pred(X0)) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',succ_pred) ).

fof(f1512535,plain,
    ~ gt(succ(pred(pv5)),sK15),
    inference(unit_resulting_resolution,[],[f1512425,f387]) ).

fof(f387,plain,
    ! [X0,X1] :
      ( ~ gt(succ(X1),X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f209]) ).

fof(f209,plain,
    ! [X0,X1] :
      ( ( leq(X0,X1)
        | ~ gt(succ(X1),X0) )
      & ( gt(succ(X1),X0)
        | ~ leq(X0,X1) ) ),
    inference(nnf_transformation,[],[f13]) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( leq(X0,X1)
    <=> gt(succ(X1),X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt_equiv) ).

fof(f1512425,plain,
    ~ leq(sK15,pred(pv5)),
    inference(unit_resulting_resolution,[],[f293,f294,f295,f300,f291]) ).

fof(f291,plain,
    ! [X4,X5] :
      ( ~ leq(X5,pred(pv5))
      | use = a_select3(u_defuse,X4,X5)
      | ~ leq(X4,n2)
      | ~ leq(n0,X5)
      | ~ leq(n0,X4) ),
    inference(cnf_transformation,[],[f196]) ).

fof(f300,plain,
    use != a_select3(u_defuse,sK14,sK15),
    inference(cnf_transformation,[],[f196]) ).

fof(f295,plain,
    leq(sK14,n2),
    inference(cnf_transformation,[],[f196]) ).

fof(f294,plain,
    leq(n0,sK15),
    inference(cnf_transformation,[],[f196]) ).

fof(f293,plain,
    leq(n0,sK14),
    inference(cnf_transformation,[],[f196]) ).

fof(f1001011,plain,
    ~ gt(sK15,pv5),
    inference(forward_demodulation,[],[f1001009,f340]) ).

fof(f1001009,plain,
    ~ gt(succ(pred(sK15)),pv5),
    inference(unit_resulting_resolution,[],[f813724,f387]) ).

fof(f813724,plain,
    ~ leq(pv5,pred(sK15)),
    inference(forward_demodulation,[],[f585925,f340]) ).

fof(f585925,plain,
    ~ leq(succ(pred(pv5)),pred(sK15)),
    inference(unit_resulting_resolution,[],[f724,f13238,f394]) ).

fof(f394,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | leq(X0,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f147]) ).

fof(f147,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f146]) ).

fof(f146,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/benchmark/theBenchmark.p',transitivity_leq) ).

fof(f13238,plain,
    leq(pred(sK15),pred(pv5)),
    inference(unit_resulting_resolution,[],[f12195,f389]) ).

fof(f389,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,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/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f12195,plain,
    gt(pv5,pred(sK15)),
    inference(unit_resulting_resolution,[],[f296,f729]) ).

fof(f729,plain,
    ! [X0,X1] :
      ( ~ leq(X0,X1)
      | gt(X1,pred(X0)) ),
    inference(superposition,[],[f365,f340]) ).

fof(f365,plain,
    ! [X0,X1] :
      ( ~ leq(succ(X0),X1)
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(succ(X0),X1) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0,X1] :
      ( leq(succ(X0),X1)
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_succ_gt) ).

fof(f296,plain,
    leq(sK15,pv5),
    inference(cnf_transformation,[],[f196]) ).

fof(f724,plain,
    ! [X0] : ~ leq(succ(X0),X0),
    inference(unit_resulting_resolution,[],[f336,f365]) ).

fof(f336,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : ~ gt(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',irreflexivity_gt) ).

fof(f1513782,plain,
    n0 = sK14,
    inference(unit_resulting_resolution,[],[f293,f1513008,f295,f1513009,f358]) ).

fof(f358,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | n1 = X0
      | n0 = X0
      | n2 = X0
      | ~ leq(n0,X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(flattening,[],[f126]) ).

fof(f126,plain,
    ! [X0] :
      ( n2 = X0
      | n1 = X0
      | n0 = X0
      | ~ leq(X0,n2)
      | ~ leq(n0,X0) ),
    inference(ennf_transformation,[],[f87]) ).

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(f1513009,plain,
    n1 != sK14,
    inference(unit_resulting_resolution,[],[f1512788,f298]) ).

fof(f298,plain,
    ( pv5 != sK15
    | n1 != sK14 ),
    inference(cnf_transformation,[],[f196]) ).

fof(f1513008,plain,
    n2 != sK14,
    inference(unit_resulting_resolution,[],[f1512788,f299]) ).

fof(f299,plain,
    ( pv5 != sK15
    | n2 != sK14 ),
    inference(cnf_transformation,[],[f196]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWV202+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n015.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Fri May  3 21:10:23 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (8464)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (8467)WARNING: value z3 for option sas not known
% 0.11/0.34  % (8467)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (8471)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34  % (8466)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (8465)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (8469)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34  % (8470)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34  % (8468)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.17/0.45  TRYING [1]
% 0.17/0.46  TRYING [2]
% 2.22/0.64  TRYING [3]
% 8.57/1.54  TRYING [4]
% 10.23/1.80  TRYING [1]
% 10.67/1.85  TRYING [2]
% 12.78/2.15  TRYING [3]
% 12.78/2.16  TRYING [1]
% 13.34/2.26  TRYING [2]
% 25.01/3.91  TRYING [4]
% 28.16/4.40  TRYING [3]
% 33.37/5.10  TRYING [5]
% 77.98/11.48  TRYING [4]
% 90.06/13.18  TRYING [6]
% 91.09/13.39  TRYING [5]
% 137.08/19.91  % (8471)First to succeed.
% 137.08/19.92  % (8471)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8464"
% 137.08/19.95  % (8471)Refutation found. Thanks to Tanya!
% 137.08/19.95  % SZS status Theorem for theBenchmark
% 137.08/19.95  % SZS output start Proof for theBenchmark
% See solution above
% 137.08/19.95  % (8471)------------------------------
% 137.08/19.95  % (8471)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 137.08/19.95  % (8471)Termination reason: Refutation
% 137.08/19.95  
% 137.08/19.95  % (8471)Memory used [KB]: 220323
% 137.08/19.95  % (8471)Time elapsed: 19.578 s
% 137.08/19.95  % (8471)Instructions burned: 54393 (million)
% 137.08/19.95  % (8464)Success in time 19.398 s
%------------------------------------------------------------------------------