TSTP Solution File: SWV196+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 : Thu Aug 31 22:31:32 EDT 2023

% Result   : Theorem 0.48s 1.17s
% Output   : CNFRefutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   37 (   9 unt;   0 def)
%            Number of atoms       :  454 ( 282 equ)
%            Maximal formula atoms :   52 (  12 avg)
%            Number of connectives :  530 ( 113   ~;  85   |; 314   &)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   41 (  10 avg)
%            Maximal term depth    :    2 (   1 avg)
%            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   :   83 (   0 sgn;  60   !;   8   ?)

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

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( gt(X1,X2)
        & gt(X0,X1) )
     => gt(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_gt) ).

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

fof(f9,axiom,
    ! [X0,X1] :
      ( ( X0 != X1
        & leq(X0,X1) )
     => gt(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt2) ).

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(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/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).

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(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(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) )
        & gt(pv5,n0)
        & 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(f116,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f117,plain,
    ! [X0,X1,X2] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(flattening,[],[f116]) ).

fof(f121,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f122,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f121]) ).

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) )
    & gt(pv5,n0)
    & 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) )
    & gt(pv5,n0)
    & 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(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) )
    & gt(pv5,n0)
    & 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) )
    & gt(pv5,n0)
    & 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(f227,plain,
    ! [X0,X1] :
      ( X0 = X1
      | gt(X1,X0)
      | gt(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

fof(f228,plain,
    ! [X2,X0,X1] :
      ( gt(X0,X2)
      | ~ gt(X1,X2)
      | ~ gt(X0,X1) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f229,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f233,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | X0 = X1
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

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

fof(f367,plain,
    gt(pv5,n0),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_49,plain,
    ( X0 = X1
    | gt(X0,X1)
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f227]) ).

cnf(c_50,plain,
    ( ~ gt(X0,X1)
    | ~ gt(X1,X2)
    | gt(X0,X2) ),
    inference(cnf_transformation,[],[f228]) ).

cnf(c_51,plain,
    ~ gt(X0,X0),
    inference(cnf_transformation,[],[f229]) ).

cnf(c_55,plain,
    ( ~ leq(X0,X1)
    | X0 = X1
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f233]) ).

cnf(c_167,negated_conjecture,
    gt(pv5,n0),
    inference(cnf_transformation,[],[f367]) ).

cnf(c_169,negated_conjecture,
    leq(pv5,n0),
    inference(cnf_transformation,[],[f365]) ).

cnf(c_238,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_269,plain,
    ( n0 = n0
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_49]) ).

cnf(c_6043,plain,
    ( X0 != X1
    | X2 != X3
    | ~ gt(X1,X3)
    | gt(X0,X2) ),
    theory(equality) ).

cnf(c_11171,plain,
    ( ~ gt(X0,pv5)
    | gt(X0,n0) ),
    inference(superposition,[status(thm)],[c_167,c_50]) ).

cnf(c_11300,plain,
    ( ~ gt(n0,pv5)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_11171]) ).

cnf(c_11335,plain,
    ( X0 != pv5
    | X1 != n0
    | ~ gt(pv5,n0)
    | gt(X0,X1) ),
    inference(instantiation,[status(thm)],[c_6043]) ).

cnf(c_11336,plain,
    ( n0 != n0
    | n0 != pv5
    | ~ gt(pv5,n0)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_11335]) ).

cnf(c_12045,plain,
    ( n0 = pv5
    | gt(n0,pv5) ),
    inference(superposition,[status(thm)],[c_169,c_55]) ).

cnf(c_12162,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_12045,c_11336,c_11300,c_269,c_238,c_167]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV196+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n002.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 : Tue Aug 29 07:16:05 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.48/1.17  % SZS status Started for theBenchmark.p
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.48/1.17  
% 0.48/1.17  ------  iProver source info
% 0.48/1.17  
% 0.48/1.17  git: date: 2023-05-31 18:12:56 +0000
% 0.48/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.48/1.17  git: non_committed_changes: false
% 0.48/1.17  git: last_make_outside_of_git: false
% 0.48/1.17  
% 0.48/1.17  ------ Parsing...
% 0.48/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.48/1.17  
% 0.48/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.48/1.17  ------ Proving...
% 0.48/1.17  ------ Problem Properties 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  clauses                                 188
% 0.48/1.17  conjectures                             41
% 0.48/1.17  EPR                                     54
% 0.48/1.17  Horn                                    138
% 0.48/1.17  unary                                   89
% 0.48/1.17  binary                                  37
% 0.48/1.17  lits                                    538
% 0.48/1.17  lits eq                                 149
% 0.48/1.17  fd_pure                                 0
% 0.48/1.17  fd_pseudo                               0
% 0.48/1.17  fd_cond                                 6
% 0.48/1.17  fd_pseudo_cond                          4
% 0.48/1.17  AC symbols                              0
% 0.48/1.17  
% 0.48/1.17  ------ Schedule dynamic 5 is on 
% 0.48/1.17  
% 0.48/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ 
% 0.48/1.17  Current options:
% 0.48/1.17  ------ 
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  ------ Proving...
% 0.48/1.17  
% 0.48/1.17  
% 0.48/1.17  % SZS status Theorem for theBenchmark.p
% 0.48/1.17  
% 0.48/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.48/1.17  
% 0.48/1.18  
%------------------------------------------------------------------------------