TSTP Solution File: SWV168+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n016.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May  3 03:13:39 EDT 2024

% Result   : Theorem 3.68s 1.24s
% Output   : CNFRefutation 3.68s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select2(sigmaold_init,X4) ) )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(X28,n4)
              & leq(n0,X28) )
           => init = a_select2(rhoold_init,X28) ) )
      & ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(muold_init,X27) ) )
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select3(center_init,X21,n0) )
      & ! [X20] :
          ( ( leq(X20,pred(pv40))
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & ! [X19] :
          ( ( leq(X19,pred(pv40))
            & leq(n0,X19) )
         => init = a_select2(mu_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select2(rho_init,X3) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => init = a_select3(q_init,X13,X17) ) )
      & leq(pv46,n135299)
      & leq(pv40,n4)
      & leq(n0,pv46)
      & leq(n0,pv40)
      & a_select2(mu_init,pv40) = init )
   => init = a_select3(q_init,pv46,pv40) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cl5_nebula_init_0016) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(X4,n4)
                & leq(n0,X4) )
             => init = a_select2(sigmaold_init,X4) ) )
        & ( gt(loopcounter,n1)
         => ! [X28] :
              ( ( leq(X28,n4)
                & leq(n0,X28) )
             => init = a_select2(rhoold_init,X28) ) )
        & ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(muold_init,X27) ) )
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select3(center_init,X21,n0) )
        & ! [X20] :
            ( ( leq(X20,pred(pv40))
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & ! [X19] :
            ( ( leq(X19,pred(pv40))
              & leq(n0,X19) )
           => init = a_select2(mu_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select2(rho_init,X3) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => init = a_select3(q_init,X13,X17) ) )
        & leq(pv46,n135299)
        & leq(pv40,n4)
        & leq(n0,pv46)
        & leq(n0,pv40)
        & a_select2(mu_init,pv40) = init )
     => init = a_select3(q_init,pv46,pv40) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f114,plain,
    ~ ( ( ( gt(loopcounter,n1)
         => ! [X0] :
              ( ( leq(X0,n4)
                & leq(n0,X0) )
             => init = a_select2(sigmaold_init,X0) ) )
        & ( gt(loopcounter,n1)
         => ! [X1] :
              ( ( leq(X1,n4)
                & leq(n0,X1) )
             => init = a_select2(rhoold_init,X1) ) )
        & ( gt(loopcounter,n1)
         => ! [X2] :
              ( ( leq(X2,n4)
                & leq(n0,X2) )
             => init = a_select2(muold_init,X2) ) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(center_init,X3,n0) )
        & ! [X4] :
            ( ( leq(X4,pred(pv40))
              & leq(n0,X4) )
           => init = a_select2(sigma_init,X4) )
        & ! [X5] :
            ( ( leq(X5,pred(pv40))
              & leq(n0,X5) )
           => init = a_select2(mu_init,X5) )
        & ! [X6] :
            ( ( leq(X6,n4)
              & leq(n0,X6) )
           => init = a_select2(rho_init,X6) )
        & ! [X7] :
            ( ( leq(X7,n135299)
              & leq(n0,X7) )
           => ! [X8] :
                ( ( leq(X8,n4)
                  & leq(n0,X8) )
               => init = a_select3(q_init,X7,X8) ) )
        & leq(pv46,n135299)
        & leq(pv40,n4)
        & leq(n0,pv46)
        & leq(n0,pv40)
        & a_select2(mu_init,pv40) = init )
     => init = a_select3(q_init,pv46,pv40) ),
    inference(rectify,[],[f54]) ).

fof(f156,plain,
    ( init != a_select3(q_init,pv46,pv40)
    & ( ! [X0] :
          ( init = a_select2(sigmaold_init,X0)
          | ~ leq(X0,n4)
          | ~ leq(n0,X0) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X1] :
          ( init = a_select2(rhoold_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X2] :
          ( init = a_select2(muold_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( init = a_select3(center_init,X3,n0)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( init = a_select2(sigma_init,X4)
        | ~ leq(X4,pred(pv40))
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(mu_init,X5)
        | ~ leq(X5,pred(pv40))
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( init = a_select2(rho_init,X6)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( ! [X8] :
            ( init = a_select3(q_init,X7,X8)
            | ~ leq(X8,n4)
            | ~ leq(n0,X8) )
        | ~ leq(X7,n135299)
        | ~ leq(n0,X7) )
    & leq(pv46,n135299)
    & leq(pv40,n4)
    & leq(n0,pv46)
    & leq(n0,pv40)
    & a_select2(mu_init,pv40) = init ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ( init != a_select3(q_init,pv46,pv40)
    & ( ! [X0] :
          ( init = a_select2(sigmaold_init,X0)
          | ~ leq(X0,n4)
          | ~ leq(n0,X0) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X1] :
          ( init = a_select2(rhoold_init,X1)
          | ~ leq(X1,n4)
          | ~ leq(n0,X1) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X2] :
          ( init = a_select2(muold_init,X2)
          | ~ leq(X2,n4)
          | ~ leq(n0,X2) )
      | ~ gt(loopcounter,n1) )
    & ! [X3] :
        ( init = a_select3(center_init,X3,n0)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( init = a_select2(sigma_init,X4)
        | ~ leq(X4,pred(pv40))
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(mu_init,X5)
        | ~ leq(X5,pred(pv40))
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( init = a_select2(rho_init,X6)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( ! [X8] :
            ( init = a_select3(q_init,X7,X8)
            | ~ leq(X8,n4)
            | ~ leq(n0,X8) )
        | ~ leq(X7,n135299)
        | ~ leq(n0,X7) )
    & leq(pv46,n135299)
    & leq(pv40,n4)
    & leq(n0,pv46)
    & leq(n0,pv40)
    & a_select2(mu_init,pv40) = init ),
    inference(flattening,[],[f156]) ).

fof(f334,plain,
    a_select2(mu_init,pv40) = init,
    inference(cnf_transformation,[],[f157]) ).

fof(f335,plain,
    leq(n0,pv40),
    inference(cnf_transformation,[],[f157]) ).

fof(f336,plain,
    leq(n0,pv46),
    inference(cnf_transformation,[],[f157]) ).

fof(f337,plain,
    leq(pv40,n4),
    inference(cnf_transformation,[],[f157]) ).

fof(f338,plain,
    leq(pv46,n135299),
    inference(cnf_transformation,[],[f157]) ).

fof(f339,plain,
    ! [X8,X7] :
      ( init = a_select3(q_init,X7,X8)
      | ~ leq(X8,n4)
      | ~ leq(n0,X8)
      | ~ leq(X7,n135299)
      | ~ leq(n0,X7) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f347,plain,
    init != a_select3(q_init,pv46,pv40),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_157,negated_conjecture,
    a_select3(q_init,pv46,pv40) != init,
    inference(cnf_transformation,[],[f347]) ).

cnf(c_165,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(X1,n135299)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(q_init,X1,X0) = init ),
    inference(cnf_transformation,[],[f339]) ).

cnf(c_166,negated_conjecture,
    leq(pv46,n135299),
    inference(cnf_transformation,[],[f338]) ).

cnf(c_167,negated_conjecture,
    leq(pv40,n4),
    inference(cnf_transformation,[],[f337]) ).

cnf(c_168,negated_conjecture,
    leq(n0,pv46),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_169,negated_conjecture,
    leq(n0,pv40),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_170,negated_conjecture,
    a_select2(mu_init,pv40) = init,
    inference(cnf_transformation,[],[f334]) ).

cnf(c_5973,plain,
    a_select2(mu_init,pv40) = sP0_iProver_def,
    definition ).

cnf(c_5975,plain,
    a_select3(q_init,pv46,pv40) = sP2_iProver_def,
    definition ).

cnf(c_5976,negated_conjecture,
    sP0_iProver_def = init,
    inference(demodulation,[status(thm)],[c_170,c_5973]) ).

cnf(c_5977,negated_conjecture,
    leq(n0,pv40),
    inference(demodulation,[status(thm)],[c_169]) ).

cnf(c_5978,negated_conjecture,
    leq(n0,pv46),
    inference(demodulation,[status(thm)],[c_168]) ).

cnf(c_5979,negated_conjecture,
    leq(pv40,n4),
    inference(demodulation,[status(thm)],[c_167]) ).

cnf(c_5980,negated_conjecture,
    leq(pv46,n135299),
    inference(demodulation,[status(thm)],[c_166]) ).

cnf(c_5981,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(X1,n135299)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(q_init,X1,X0) = init ),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_5989,negated_conjecture,
    sP2_iProver_def != init,
    inference(demodulation,[status(thm)],[c_157,c_5975]) ).

cnf(c_9038,plain,
    sP0_iProver_def != sP2_iProver_def,
    inference(light_normalisation,[status(thm)],[c_5989,c_5976]) ).

cnf(c_9159,plain,
    ( ~ leq(X0,n4)
    | ~ leq(X1,n135299)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(q_init,X1,X0) = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_5981,c_5976]) ).

cnf(c_9172,plain,
    ( ~ leq(X0,n135299)
    | ~ leq(n0,X0)
    | ~ leq(pv40,n4)
    | a_select3(q_init,X0,pv40) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_5977,c_9159]) ).

cnf(c_9173,plain,
    ( ~ leq(X0,n135299)
    | ~ leq(n0,X0)
    | a_select3(q_init,X0,pv40) = sP0_iProver_def ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9172,c_5979]) ).

cnf(c_9245,plain,
    ( ~ leq(pv46,n135299)
    | a_select3(q_init,pv46,pv40) = sP0_iProver_def ),
    inference(superposition,[status(thm)],[c_5978,c_9173]) ).

cnf(c_9249,plain,
    ( ~ leq(pv46,n135299)
    | sP0_iProver_def = sP2_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9245,c_5975]) ).

cnf(c_9250,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9249,c_9038,c_5980]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15  % Problem  : SWV168+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/0.15  % Command  : run_iprover %s %d THM
% 0.16/0.37  % Computer : n016.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Fri May  3 00:42:45 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 0.23/0.52  Running first-order theorem proving
% 0.23/0.52  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.68/1.24  % SZS status Started for theBenchmark.p
% 3.68/1.24  % SZS status Theorem for theBenchmark.p
% 3.68/1.24  
% 3.68/1.24  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.68/1.24  
% 3.68/1.24  ------  iProver source info
% 3.68/1.24  
% 3.68/1.24  git: date: 2024-05-02 19:28:25 +0000
% 3.68/1.24  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.68/1.24  git: non_committed_changes: false
% 3.68/1.24  
% 3.68/1.24  ------ Parsing...
% 3.68/1.24  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.68/1.24  
% 3.68/1.24  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.68/1.24  
% 3.68/1.24  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.68/1.24  
% 3.68/1.24  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.68/1.24  ------ Proving...
% 3.68/1.24  ------ Problem Properties 
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  clauses                                 164
% 3.68/1.24  conjectures                             14
% 3.68/1.24  EPR                                     49
% 3.68/1.24  Horn                                    114
% 3.68/1.24  unary                                   62
% 3.68/1.24  binary                                  34
% 3.68/1.24  lits                                    524
% 3.68/1.24  lits eq                                 126
% 3.68/1.24  fd_pure                                 0
% 3.68/1.24  fd_pseudo                               0
% 3.68/1.24  fd_cond                                 6
% 3.68/1.24  fd_pseudo_cond                          4
% 3.68/1.24  AC symbols                              0
% 3.68/1.24  
% 3.68/1.24  ------ Schedule dynamic 5 is on 
% 3.68/1.24  
% 3.68/1.24  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  ------ 
% 3.68/1.24  Current options:
% 3.68/1.24  ------ 
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  ------ Proving...
% 3.68/1.24  
% 3.68/1.24  
% 3.68/1.24  % SZS status Theorem for theBenchmark.p
% 3.68/1.24  
% 3.68/1.24  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.24  
% 3.68/1.24  
%------------------------------------------------------------------------------