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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:16:39 PM UTC 2026

% Result   : Theorem 3.02s 6.24s
% Output   : CNFRefutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   46 (  12 unt;   0 def)
%            Number of atoms       :  417 ( 260 equ)
%            Maximal formula atoms :   52 (   9 avg)
%            Number of connectives :  489 ( 118   ~; 103   |; 255   &)
%                                         (   1 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   48 (   9 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   65 (   0 sgn  59   !;   6   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).

fof(f53,conjecture,
    ( ( ! [X2,X3] :
          ( ( leq(X3,pred(pv5))
            & leq(X2,n2)
            & leq(n0,X3)
            & leq(n0,X2) )
         => a_select3(z_defuse,X2,X3) = use )
      & ! [X0,X1] :
          ( ( leq(X1,pred(pv5))
            & leq(X0,n2)
            & leq(n0,X1)
            & leq(n0,X0) )
         => a_select3(u_defuse,X0,X1) = use )
      & gt(pv5,n0)
      & leq(pv5,n998)
      & leq(pv5,n0)
      & leq(n0,pv5)
      & 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) = use )
   => ! [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 ) )
         => a_select3(z_defuse,X4,X5) = use ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X2,X3] :
            ( ( leq(X3,pred(pv5))
              & leq(X2,n2)
              & leq(n0,X3)
              & leq(n0,X2) )
           => a_select3(z_defuse,X2,X3) = use )
        & ! [X0,X1] :
            ( ( leq(X1,pred(pv5))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => a_select3(u_defuse,X0,X1) = use )
        & gt(pv5,n0)
        & leq(pv5,n998)
        & leq(pv5,n0)
        & leq(n0,pv5)
        & 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) = use )
     => ! [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 ) )
           => a_select3(z_defuse,X4,X5) = use ) ) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

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

fof(f94,plain,
    ( ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | a_select3(z_defuse,X2,X3) = use )
    & ! [X0,X1] :
        ( ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0)
        | a_select3(u_defuse,X0,X1) = use )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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) = use
    & ? [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(ennf_transformation,[],[f54]) ).

fof(f95,plain,
    ( ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | a_select3(z_defuse,X2,X3) = use )
    & ! [X0,X1] :
        ( ~ leq(X1,pred(pv5))
        | ~ leq(X0,n2)
        | ~ leq(n0,X1)
        | ~ leq(n0,X0)
        | a_select3(u_defuse,X0,X1) = use )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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) = use
    & ? [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(flattening,[],[f94]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | gt(X1,X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | gt(X1,X0) ),
    inference(flattening,[],[f98]) ).

fof(f109,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | ~ leq(n0,X0)
      | X0 = n2
      | X0 = n1
      | X0 = n0 ),
    inference(ennf_transformation,[],[f87]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | ~ leq(n0,X0)
      | X0 = n2
      | X0 = n1
      | X0 = n0 ),
    inference(flattening,[],[f109]) ).

fof(f117,plain,
    ( ! [X4,X5] :
        ( ~ leq(X5,pred(pv5))
        | ~ leq(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | use = a_select3(z_defuse,X4,X5) )
    & ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | use = a_select3(u_defuse,X2,X3) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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) = use
    & ? [X0,X1] :
        ( leq(X1,pv5)
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0)
        & ( pv5 != X1
          | n2 != X0 )
        & ( pv5 != X1
          | n1 != X0 )
        & ( pv5 != X1
          | n0 != X0 )
        & use != a_select3(z_defuse,X0,X1) ) ),
    inference(rectify,[],[f95]) ).

fof(f118,plain,
    ( ! [X4,X5] :
        ( ~ leq(X5,pred(pv5))
        | ~ leq(X4,n2)
        | ~ leq(n0,X5)
        | ~ leq(n0,X4)
        | use = a_select3(z_defuse,X4,X5) )
    & ! [X2,X3] :
        ( ~ leq(X3,pred(pv5))
        | ~ leq(X2,n2)
        | ~ leq(n0,X3)
        | ~ leq(n0,X2)
        | use = a_select3(u_defuse,X2,X3) )
    & gt(pv5,n0)
    & leq(pv5,n998)
    & leq(pv5,n0)
    & leq(n0,pv5)
    & 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) = use
    & leq(sK1,pv5)
    & leq(sK0,n2)
    & leq(n0,sK1)
    & leq(n0,sK0)
    & ( pv5 != sK1
      | n2 != sK0 )
    & ( pv5 != sK1
      | n1 != sK0 )
    & ( pv5 != sK1
      | n0 != sK0 )
    & use != a_select3(z_defuse,sK0,sK1) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f117]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( ( ~ leq(X0,pred(X1))
        | gt(X1,X0) )
      & ( ~ gt(X1,X0)
        | leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f122,plain,
    ! [X4,X5] :
      ( ~ leq(X5,pred(pv5))
      | ~ leq(X4,n2)
      | ~ leq(n0,X5)
      | ~ leq(n0,X4)
      | use = a_select3(z_defuse,X4,X5) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f155,plain,
    leq(sK1,pv5),
    inference(cnf_transformation,[],[f118]) ).

fof(f156,plain,
    leq(sK0,n2),
    inference(cnf_transformation,[],[f118]) ).

fof(f157,plain,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f118]) ).

fof(f158,plain,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f118]) ).

fof(f159,plain,
    ( pv5 != sK1
    | n2 != sK0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f160,plain,
    ( pv5 != sK1
    | n1 != sK0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f161,plain,
    ( pv5 != sK1
    | n0 != sK0 ),
    inference(cnf_transformation,[],[f118]) ).

fof(f162,plain,
    use != a_select3(z_defuse,sK0,sK1),
    inference(cnf_transformation,[],[f118]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( X0 = X1
      | ~ leq(X0,X1)
      | gt(X1,X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f169,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f183,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | ~ leq(n0,X0)
      | n2 = X0
      | n1 = X0
      | n0 = X0 ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_49,negated_conjecture,
    a_select3(z_defuse,sK0,sK1) != use,
    inference(cnf_transformation,[],[f162]) ).

tcf(c_50,negated_conjecture,
    ( ( sK1 != pv5 )
    | ( sK0 != n0 ) ),
    inference(cnf_transformation,[],[f161]) ).

tcf(c_51,negated_conjecture,
    ( ( sK1 != pv5 )
    | ( sK0 != n1 ) ),
    inference(cnf_transformation,[],[f160]) ).

tcf(c_52,negated_conjecture,
    ( ( sK1 != pv5 )
    | ( sK0 != n2 ) ),
    inference(cnf_transformation,[],[f159]) ).

tcf(c_53,negated_conjecture,
    leq(n0,sK0),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_54,negated_conjecture,
    leq(n0,sK1),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_55,negated_conjecture,
    leq(sK0,n2),
    inference(cnf_transformation,[],[f156]) ).

tcf(c_56,negated_conjecture,
    leq(sK1,pv5),
    inference(cnf_transformation,[],[f155]) ).

tcf(c_89,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ( a_select3(z_defuse,X1,X0) = use )
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X1,n2)
      | ~ leq(X0,pred(pv5)) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_91,plain,
    ! [X0: $i,X1: $i] :
      ( gt(X1,X0)
      | ( X0 = X1 )
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_95,plain,
    ! [X0: $i,X1: $i] :
      ( leq(X1,pred(X0))
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_110,plain,
    ! [X0: $i] :
      ( ( X0 = n2 )
      | ( X0 = n1 )
      | ( X0 = n0 )
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_2146,plain,
    ! [X0: $i,X1: $i] :
      ( ( a_select3(z_defuse,X0,X1) = use )
      | ~ gt(pv5,X1)
      | ~ leq(n0,X1)
      | ~ leq(n0,X0)
      | ~ leq(X0,n2) ),
    inference(superposition,[status(thm)],[c_95,c_89]) ).

tcf(c_2450,plain,
    ! [X0: $i] :
      ( ( a_select3(z_defuse,sK0,X0) = use )
      | ~ leq(sK0,n2)
      | ~ gt(pv5,X0)
      | ~ leq(n0,X0) ),
    inference(superposition,[status(thm)],[c_53,c_2146]) ).

tcf(c_2477,plain,
    ! [X0: $i] :
      ( ( a_select3(z_defuse,sK0,X0) = use )
      | ~ gt(pv5,X0)
      | ~ leq(n0,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2450,c_55]) ).

tcf(c_2904,plain,
    ( ( sK0 = n2 )
    | ( sK0 = n1 )
    | ( sK0 = n0 )
    | ~ leq(n0,sK0)
    | ~ leq(sK0,n2) ),
    inference(instantiation,[status(thm)],[c_110]) ).

tcf(c_3026,plain,
    ( gt(pv5,sK1)
    | ( sK1 = pv5 ) ),
    inference(superposition,[status(thm)],[c_56,c_91]) ).

tcf(c_3545,plain,
    gt(pv5,sK1),
    inference(global_subsumption_just,[status(thm)],[c_3026,c_55,c_53,c_52,c_51,c_50,c_2904,c_3026]) ).

tcf(c_3554,plain,
    ( ( a_select3(z_defuse,sK0,sK1) = use )
    | ~ leq(n0,sK1) ),
    inference(superposition,[status(thm)],[c_3545,c_2477]) ).

tcf(c_3557,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3554,c_49,c_54]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/5.39  % Computer : n004.cluster.edu
% 0.12/5.39  % Model    : x86_64 x86_64
% 0.12/5.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39  % Memory   : 8046.5625MB
% 0.12/5.39  % OS       : Linux 6.8.0-71-generic
% 0.12/5.39  % CPULimit : 300
% 0.12/5.39  % WCLimit  : 300
% 0.12/5.39  % DateTime : Thu Sep 24 18:44:13 UTC 2026
% 0.12/5.39  % CPUTime  : 
% 0.12/5.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.17/5.44  Running first-order theorem proving
% 0.17/5.44  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.45  
% 0.17/5.45  % ======== iProver multi-core TPTP/SMT =========
% 0.17/5.45  
% 0.17/5.45  % Detected problem language: tptp
% 0.17/5.46  % Proving...
% 3.02/6.24  % SZS status Started for theBenchmark.p
% 3.02/6.24  % SZS status Theorem for theBenchmark.p
% 3.02/6.24  
% 3.02/6.24  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.02/6.24  
% 3.02/6.24  % ------  iProver source info
% 3.02/6.24  
% 3.02/6.24  % git: date: 2026-07-19 20:42:38 +0200
% 3.02/6.24  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.02/6.24  % git: non_committed_changes: false
% 3.02/6.24  
% 3.02/6.24  % ------ Parsing...
% 3.02/6.24  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 3.02/6.24  
% 3.02/6.24  % ------ Preprocessing... sup_sim: 10  sf_s  rm: 1 0s  sf_e  pe_s  pe_e % 
% 3.02/6.24  
% 3.02/6.24  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 3.02/6.24  
% 3.02/6.24  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.02/6.24  % ------ Proving...
% 3.02/6.24  % ------ Problem Properties 
% 3.02/6.24  
% 3.02/6.24  % 
% 3.02/6.24  % clauses                               108
% 3.02/6.24  % conjectures                           41
% 3.02/6.24  % EPR                                   52
% 3.02/6.24  % Horn                                  101
% 3.02/6.24  % unary                                 84
% 3.02/6.24  % binary                                12
% 3.02/6.24  % lits                                  163
% 3.02/6.24  % lits eq                               76
% 3.02/6.24  % fd_pure                               0
% 3.02/6.24  % fd_pseudo                             0
% 3.02/6.24  % fd_cond                               6
% 3.02/6.24  % fd_pseudo_cond                        2
% 3.02/6.24  % AC symbols                            0
% 3.02/6.24  
% 3.02/6.24  % ------ Schedule dynamic 5 is on 
% 3.02/6.24  
% 3.02/6.24  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.02/6.24  
% 3.02/6.24  
% 3.02/6.24  % ------ 
% 3.02/6.24  % Current options:
% 3.02/6.24  % ------ 
% 3.02/6.24  
% 3.02/6.24  
% 3.02/6.24  % 
% 3.02/6.24  
% 3.02/6.24  % ------ Proving...
% 3.02/6.24  % 
% 3.02/6.24  
% 3.02/6.24  % SZS status Theorem for theBenchmark.p
% 3.02/6.24  
% 3.02/6.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.02/6.24  
% 3.02/6.24  
%------------------------------------------------------------------------------