TSTP Solution File: SWV092+1 by iProver---3.9

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n019.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 : Mon Jun 24 17:09:13 EDT 2024

% Result   : Theorem 4.16s 1.17s
% Output   : CNFRefutation 4.16s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

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

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

fof(f10,axiom,
    ! [X0,X1] :
      ( leq(X0,pred(X1))
    <=> gt(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',leq_gt_pred) ).

fof(f39,axiom,
    ! [X0] : minus(X0,n1) = pred(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pred_minus_1) ).

fof(f53,conjecture,
    ( ( 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) )
   => ( ! [X13,X17] :
          ( ( leq(X17,minus(n0,n1))
            & leq(X13,n2)
            & leq(n0,X17)
            & leq(n0,X13) )
         => ( use = a_select3(z_defuse,X13,X17)
            & use = a_select3(u_defuse,X13,X17) ) )
      & 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) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).

fof(f54,negated_conjecture,
    ~ ( ( 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) )
     => ( ! [X13,X17] :
            ( ( leq(X17,minus(n0,n1))
              & leq(X13,n2)
              & leq(n0,X17)
              & leq(n0,X13) )
           => ( use = a_select3(z_defuse,X13,X17)
              & use = a_select3(u_defuse,X13,X17) ) )
        & 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(negated_conjecture,[],[f53]) ).

fof(f107,plain,
    ~ ( ( 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) )
     => ( ! [X0,X1] :
            ( ( leq(X1,minus(n0,n1))
              & leq(X0,n2)
              & leq(n0,X1)
              & leq(n0,X0) )
           => ( use = a_select3(z_defuse,X0,X1)
              & use = a_select3(u_defuse,X0,X1) ) )
        & 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,[],[f54]) ).

fof(f111,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f112,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(flattening,[],[f111]) ).

fof(f149,plain,
    ( ( ? [X0,X1] :
          ( ( use != a_select3(z_defuse,X0,X1)
            | use != a_select3(u_defuse,X0,X1) )
          & leq(X1,minus(n0,n1))
          & leq(X0,n2)
          & leq(n0,X1)
          & leq(n0,X0) )
      | 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) )
    & 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,[],[f107]) ).

fof(f150,plain,
    ( ( ? [X0,X1] :
          ( ( use != a_select3(z_defuse,X0,X1)
            | use != a_select3(u_defuse,X0,X1) )
          & leq(X1,minus(n0,n1))
          & leq(X0,n2)
          & leq(n0,X1)
          & leq(n0,X0) )
      | 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) )
    & 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,[],[f149]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( ( leq(X0,pred(X1))
        | ~ gt(X1,X0) )
      & ( gt(X1,X0)
        | ~ leq(X0,pred(X1)) ) ),
    inference(nnf_transformation,[],[f10]) ).

fof(f217,plain,
    ( ? [X0,X1] :
        ( ( use != a_select3(z_defuse,X0,X1)
          | use != a_select3(u_defuse,X0,X1) )
        & leq(X1,minus(n0,n1))
        & leq(X0,n2)
        & leq(n0,X1)
        & leq(n0,X0) )
   => ( ( use != a_select3(z_defuse,sK31,sK32)
        | use != a_select3(u_defuse,sK31,sK32) )
      & leq(sK32,minus(n0,n1))
      & leq(sK31,n2)
      & leq(n0,sK32)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f218,plain,
    ( ( ( ( use != a_select3(z_defuse,sK31,sK32)
          | use != a_select3(u_defuse,sK31,sK32) )
        & leq(sK32,minus(n0,n1))
        & leq(sK31,n2)
        & leq(n0,sK32)
        & leq(n0,sK31) )
      | 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) )
    & 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])],[f150,f217]) ).

fof(f221,plain,
    ! [X0] : ~ gt(X0,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f223,plain,
    ! [X2,X0,X1] :
      ( leq(X0,X2)
      | ~ leq(X1,X2)
      | ~ leq(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f226,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,pred(X1)) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f309,plain,
    ! [X0] : minus(X0,n1) = pred(X0),
    inference(cnf_transformation,[],[f39]) ).

fof(f329,plain,
    use = a_select2(rho_defuse,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f330,plain,
    use = a_select2(rho_defuse,n1),
    inference(cnf_transformation,[],[f218]) ).

fof(f331,plain,
    use = a_select2(rho_defuse,n2),
    inference(cnf_transformation,[],[f218]) ).

fof(f332,plain,
    use = a_select2(sigma_defuse,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f333,plain,
    use = a_select2(sigma_defuse,n1),
    inference(cnf_transformation,[],[f218]) ).

fof(f334,plain,
    use = a_select2(sigma_defuse,n2),
    inference(cnf_transformation,[],[f218]) ).

fof(f335,plain,
    use = a_select2(sigma_defuse,n3),
    inference(cnf_transformation,[],[f218]) ).

fof(f336,plain,
    use = a_select2(sigma_defuse,n4),
    inference(cnf_transformation,[],[f218]) ).

fof(f337,plain,
    use = a_select2(sigma_defuse,n5),
    inference(cnf_transformation,[],[f218]) ).

fof(f338,plain,
    use = a_select3(u_defuse,n0,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f339,plain,
    use = a_select3(u_defuse,n1,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f340,plain,
    use = a_select3(u_defuse,n2,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f341,plain,
    use = a_select2(xinit_defuse,n3),
    inference(cnf_transformation,[],[f218]) ).

fof(f342,plain,
    use = a_select2(xinit_defuse,n4),
    inference(cnf_transformation,[],[f218]) ).

fof(f343,plain,
    use = a_select2(xinit_defuse,n5),
    inference(cnf_transformation,[],[f218]) ).

fof(f344,plain,
    use = a_select2(xinit_mean_defuse,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f345,plain,
    use = a_select2(xinit_mean_defuse,n1),
    inference(cnf_transformation,[],[f218]) ).

fof(f346,plain,
    use = a_select2(xinit_mean_defuse,n2),
    inference(cnf_transformation,[],[f218]) ).

fof(f347,plain,
    use = a_select2(xinit_mean_defuse,n3),
    inference(cnf_transformation,[],[f218]) ).

fof(f348,plain,
    use = a_select2(xinit_mean_defuse,n4),
    inference(cnf_transformation,[],[f218]) ).

fof(f349,plain,
    use = a_select2(xinit_mean_defuse,n5),
    inference(cnf_transformation,[],[f218]) ).

fof(f350,plain,
    use = a_select2(xinit_noise_defuse,n0),
    inference(cnf_transformation,[],[f218]) ).

fof(f351,plain,
    use = a_select2(xinit_noise_defuse,n1),
    inference(cnf_transformation,[],[f218]) ).

fof(f352,plain,
    use = a_select2(xinit_noise_defuse,n2),
    inference(cnf_transformation,[],[f218]) ).

fof(f353,plain,
    use = a_select2(xinit_noise_defuse,n3),
    inference(cnf_transformation,[],[f218]) ).

fof(f354,plain,
    use = a_select2(xinit_noise_defuse,n4),
    inference(cnf_transformation,[],[f218]) ).

fof(f355,plain,
    use = a_select2(xinit_noise_defuse,n5),
    inference(cnf_transformation,[],[f218]) ).

fof(f357,plain,
    ( leq(n0,sK32)
    | 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(cnf_transformation,[],[f218]) ).

fof(f359,plain,
    ( leq(sK32,minus(n0,n1))
    | 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(cnf_transformation,[],[f218]) ).

fof(f394,plain,
    ! [X0,X1] :
      ( gt(X1,X0)
      | ~ leq(X0,minus(X1,n1)) ),
    inference(definition_unfolding,[],[f226,f309]) ).

cnf(c_51,plain,
    ~ gt(X0,X0),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_53,plain,
    ( ~ leq(X0,X1)
    | ~ leq(X1,X2)
    | leq(X0,X2) ),
    inference(cnf_transformation,[],[f223]) ).

cnf(c_57,plain,
    ( ~ leq(X0,minus(X1,n1))
    | gt(X1,X0) ),
    inference(cnf_transformation,[],[f394]) ).

cnf(c_158,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | leq(sK32,minus(n0,n1)) ),
    inference(cnf_transformation,[],[f359]) ).

cnf(c_160,negated_conjecture,
    ( a_select3(u_defuse,n1,n0) != use
    | a_select3(u_defuse,n0,n0) != use
    | a_select3(u_defuse,n2,n0) != use
    | a_select2(xinit_noise_defuse,n1) != use
    | a_select2(xinit_noise_defuse,n0) != use
    | a_select2(xinit_noise_defuse,n2) != use
    | a_select2(xinit_noise_defuse,n3) != use
    | a_select2(xinit_noise_defuse,n4) != use
    | a_select2(xinit_noise_defuse,n5) != use
    | a_select2(xinit_mean_defuse,n1) != use
    | a_select2(xinit_mean_defuse,n0) != use
    | a_select2(xinit_mean_defuse,n2) != use
    | a_select2(xinit_mean_defuse,n3) != use
    | a_select2(xinit_mean_defuse,n4) != use
    | a_select2(xinit_mean_defuse,n5) != use
    | a_select2(xinit_defuse,n3) != use
    | a_select2(xinit_defuse,n4) != use
    | a_select2(xinit_defuse,n5) != use
    | a_select2(sigma_defuse,n1) != use
    | a_select2(sigma_defuse,n0) != use
    | a_select2(sigma_defuse,n2) != use
    | a_select2(sigma_defuse,n3) != use
    | a_select2(sigma_defuse,n4) != use
    | a_select2(sigma_defuse,n5) != use
    | a_select2(rho_defuse,n1) != use
    | a_select2(rho_defuse,n0) != use
    | a_select2(rho_defuse,n2) != use
    | leq(n0,sK32) ),
    inference(cnf_transformation,[],[f357]) ).

cnf(c_162,negated_conjecture,
    a_select2(xinit_noise_defuse,n5) = use,
    inference(cnf_transformation,[],[f355]) ).

cnf(c_163,negated_conjecture,
    a_select2(xinit_noise_defuse,n4) = use,
    inference(cnf_transformation,[],[f354]) ).

cnf(c_164,negated_conjecture,
    a_select2(xinit_noise_defuse,n3) = use,
    inference(cnf_transformation,[],[f353]) ).

cnf(c_165,negated_conjecture,
    a_select2(xinit_noise_defuse,n2) = use,
    inference(cnf_transformation,[],[f352]) ).

cnf(c_166,negated_conjecture,
    a_select2(xinit_noise_defuse,n1) = use,
    inference(cnf_transformation,[],[f351]) ).

cnf(c_167,negated_conjecture,
    a_select2(xinit_noise_defuse,n0) = use,
    inference(cnf_transformation,[],[f350]) ).

cnf(c_168,negated_conjecture,
    a_select2(xinit_mean_defuse,n5) = use,
    inference(cnf_transformation,[],[f349]) ).

cnf(c_169,negated_conjecture,
    a_select2(xinit_mean_defuse,n4) = use,
    inference(cnf_transformation,[],[f348]) ).

cnf(c_170,negated_conjecture,
    a_select2(xinit_mean_defuse,n3) = use,
    inference(cnf_transformation,[],[f347]) ).

cnf(c_171,negated_conjecture,
    a_select2(xinit_mean_defuse,n2) = use,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_172,negated_conjecture,
    a_select2(xinit_mean_defuse,n1) = use,
    inference(cnf_transformation,[],[f345]) ).

cnf(c_173,negated_conjecture,
    a_select2(xinit_mean_defuse,n0) = use,
    inference(cnf_transformation,[],[f344]) ).

cnf(c_174,negated_conjecture,
    a_select2(xinit_defuse,n5) = use,
    inference(cnf_transformation,[],[f343]) ).

cnf(c_175,negated_conjecture,
    a_select2(xinit_defuse,n4) = use,
    inference(cnf_transformation,[],[f342]) ).

cnf(c_176,negated_conjecture,
    a_select2(xinit_defuse,n3) = use,
    inference(cnf_transformation,[],[f341]) ).

cnf(c_177,negated_conjecture,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnf_transformation,[],[f340]) ).

cnf(c_178,negated_conjecture,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnf_transformation,[],[f339]) ).

cnf(c_179,negated_conjecture,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnf_transformation,[],[f338]) ).

cnf(c_180,negated_conjecture,
    a_select2(sigma_defuse,n5) = use,
    inference(cnf_transformation,[],[f337]) ).

cnf(c_181,negated_conjecture,
    a_select2(sigma_defuse,n4) = use,
    inference(cnf_transformation,[],[f336]) ).

cnf(c_182,negated_conjecture,
    a_select2(sigma_defuse,n3) = use,
    inference(cnf_transformation,[],[f335]) ).

cnf(c_183,negated_conjecture,
    a_select2(sigma_defuse,n2) = use,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_184,negated_conjecture,
    a_select2(sigma_defuse,n1) = use,
    inference(cnf_transformation,[],[f333]) ).

cnf(c_185,negated_conjecture,
    a_select2(sigma_defuse,n0) = use,
    inference(cnf_transformation,[],[f332]) ).

cnf(c_186,negated_conjecture,
    a_select2(rho_defuse,n2) = use,
    inference(cnf_transformation,[],[f331]) ).

cnf(c_187,negated_conjecture,
    a_select2(rho_defuse,n1) = use,
    inference(cnf_transformation,[],[f330]) ).

cnf(c_188,negated_conjecture,
    a_select2(rho_defuse,n0) = use,
    inference(cnf_transformation,[],[f329]) ).

cnf(c_222,plain,
    ~ gt(n0,n0),
    inference(instantiation,[status(thm)],[c_51]) ).

cnf(c_317,negated_conjecture,
    leq(sK32,minus(n0,n1)),
    inference(global_subsumption_just,[status(thm)],[c_158,c_188,c_187,c_186,c_185,c_184,c_183,c_182,c_181,c_180,c_176,c_175,c_174,c_173,c_172,c_171,c_170,c_169,c_168,c_167,c_166,c_165,c_164,c_163,c_162,c_179,c_178,c_177,c_158]) ).

cnf(c_5925,plain,
    minus(n0,n1) = sP0_iProver_def,
    definition ).

cnf(c_5953,negated_conjecture,
    leq(sK32,sP0_iProver_def),
    inference(demodulation,[status(thm)],[c_317,c_5925]) ).

cnf(c_9359,plain,
    ( ~ leq(X0,sP0_iProver_def)
    | gt(n0,X0) ),
    inference(superposition,[status(thm)],[c_5925,c_57]) ).

cnf(c_9362,plain,
    ( ~ leq(n0,sP0_iProver_def)
    | gt(n0,n0) ),
    inference(instantiation,[status(thm)],[c_9359]) ).

cnf(c_10295,plain,
    ( ~ leq(X0,sK32)
    | leq(X0,sP0_iProver_def) ),
    inference(superposition,[status(thm)],[c_5953,c_53]) ).

cnf(c_10430,plain,
    ( ~ leq(n0,sK32)
    | leq(n0,sP0_iProver_def) ),
    inference(instantiation,[status(thm)],[c_10295]) ).

cnf(c_10431,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10430,c_9362,c_160,c_177,c_178,c_179,c_162,c_163,c_164,c_165,c_166,c_167,c_168,c_169,c_170,c_171,c_172,c_173,c_174,c_175,c_176,c_180,c_181,c_182,c_183,c_184,c_185,c_186,c_187,c_188,c_222]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV092+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Jun 20 14:52:09 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.16/1.17  % SZS status Started for theBenchmark.p
% 4.16/1.17  % SZS status Theorem for theBenchmark.p
% 4.16/1.17  
% 4.16/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.16/1.17  
% 4.16/1.17  ------  iProver source info
% 4.16/1.17  
% 4.16/1.17  git: date: 2024-06-12 09:56:46 +0000
% 4.16/1.17  git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 4.16/1.17  git: non_committed_changes: false
% 4.16/1.17  
% 4.16/1.17  ------ Parsing...
% 4.16/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.16/1.17  
% 4.16/1.17  ------ Preprocessing... sup_sim: 15  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.16/1.17  
% 4.16/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.16/1.17  
% 4.16/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.16/1.17  ------ Proving...
% 4.16/1.17  ------ Problem Properties 
% 4.16/1.17  
% 4.16/1.17  
% 4.16/1.17  clauses                                 200
% 4.16/1.17  conjectures                             31
% 4.16/1.17  EPR                                     67
% 4.16/1.17  Horn                                    150
% 4.16/1.17  unary                                   105
% 4.16/1.17  binary                                  35
% 4.16/1.17  lits                                    540
% 4.16/1.17  lits eq                                 170
% 4.16/1.17  fd_pure                                 0
% 4.16/1.18  fd_pseudo                               0
% 4.16/1.18  fd_cond                                 6
% 4.16/1.18  fd_pseudo_cond                          4
% 4.16/1.18  AC symbols                              0
% 4.16/1.18  
% 4.16/1.18  ------ Schedule dynamic 5 is on 
% 4.16/1.18  
% 4.16/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.16/1.18  
% 4.16/1.18  
% 4.16/1.18  ------ 
% 4.16/1.18  Current options:
% 4.16/1.18  ------ 
% 4.16/1.18  
% 4.16/1.18  
% 4.16/1.18  
% 4.16/1.18  
% 4.16/1.18  ------ Proving...
% 4.16/1.18  
% 4.16/1.18  
% 4.16/1.18  % SZS status Theorem for theBenchmark.p
% 4.16/1.18  
% 4.16/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.16/1.18  
% 4.16/1.18  
%------------------------------------------------------------------------------