TSTP Solution File: SWV172+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV172+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 22:31:26 EDT 2023

% Result   : Theorem 1.90s 1.19s
% Output   : CNFRefutation 1.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :  185 (  50 equ)
%            Maximal formula atoms :   34 (  12 avg)
%            Number of connectives :  223 (  53   ~;  47   |;  84   &)
%                                         (   0 <=>;  39  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   18 (  18 usr;  16 con; 0-3 aty)
%            Number of variables   :   47 (   0 sgn;  46   !;   0   ?)

% 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,n4)
            & leq(n0,X20) )
         => init = a_select2(sigma_init,X20) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & 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) )
             => a_select3(q_init,X13,X17) = init ) )
      & leq(pv54,n4)
      & leq(pv10,n135299)
      & leq(n0,pv54)
      & leq(n0,pv10) )
   => init = a_select2(rho_init,pv54) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0036) ).

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,n4)
              & leq(n0,X20) )
           => init = a_select2(sigma_init,X20) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & 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) )
               => a_select3(q_init,X13,X17) = init ) )
        & leq(pv54,n4)
        & leq(pv10,n135299)
        & leq(n0,pv54)
        & leq(n0,pv10) )
     => init = a_select2(rho_init,pv54) ),
    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,n4)
              & leq(n0,X4) )
           => init = a_select2(sigma_init,X4) )
        & ! [X5] :
            ( ( leq(X5,n4)
              & 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(pv54,n4)
        & leq(pv10,n135299)
        & leq(n0,pv54)
        & leq(n0,pv10) )
     => init = a_select2(rho_init,pv54) ),
    inference(rectify,[],[f54]) ).

fof(f156,plain,
    ( init != a_select2(rho_init,pv54)
    & ( ! [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,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(mu_init,X5)
        | ~ leq(X5,n4)
        | ~ 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(pv54,n4)
    & leq(pv10,n135299)
    & leq(n0,pv54)
    & leq(n0,pv10) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ( init != a_select2(rho_init,pv54)
    & ( ! [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,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(mu_init,X5)
        | ~ leq(X5,n4)
        | ~ 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(pv54,n4)
    & leq(pv10,n135299)
    & leq(n0,pv54)
    & leq(n0,pv10) ),
    inference(flattening,[],[f156]) ).

fof(f335,plain,
    leq(n0,pv54),
    inference(cnf_transformation,[],[f157]) ).

fof(f337,plain,
    leq(pv54,n4),
    inference(cnf_transformation,[],[f157]) ).

fof(f339,plain,
    ! [X6] :
      ( init = a_select2(rho_init,X6)
      | ~ leq(X6,n4)
      | ~ leq(n0,X6) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f346,plain,
    init != a_select2(rho_init,pv54),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_157,negated_conjecture,
    a_select2(rho_init,pv54) != init,
    inference(cnf_transformation,[],[f346]) ).

cnf(c_164,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select2(rho_init,X0) = init ),
    inference(cnf_transformation,[],[f339]) ).

cnf(c_166,negated_conjecture,
    leq(pv54,n4),
    inference(cnf_transformation,[],[f337]) ).

cnf(c_168,negated_conjecture,
    leq(n0,pv54),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_9013,plain,
    ( ~ leq(pv54,n4)
    | a_select2(rho_init,pv54) = init ),
    inference(superposition,[status(thm)],[c_168,c_164]) ).

cnf(c_9017,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_9013,c_157,c_166]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV172+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.15/0.35  % Computer : n015.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Tue Aug 29 08:47:11 EDT 2023
% 0.15/0.35  % 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
% 1.90/1.19  % SZS status Started for theBenchmark.p
% 1.90/1.19  % SZS status Theorem for theBenchmark.p
% 1.90/1.19  
% 1.90/1.19  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.90/1.19  
% 1.90/1.19  ------  iProver source info
% 1.90/1.19  
% 1.90/1.19  git: date: 2023-05-31 18:12:56 +0000
% 1.90/1.19  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.90/1.19  git: non_committed_changes: false
% 1.90/1.19  git: last_make_outside_of_git: false
% 1.90/1.19  
% 1.90/1.19  ------ Parsing...
% 1.90/1.19  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.90/1.19  
% 1.90/1.19  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 1.90/1.19  
% 1.90/1.19  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.90/1.19  
% 1.90/1.19  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 1.90/1.19  ------ Proving...
% 1.90/1.19  ------ Problem Properties 
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  clauses                                 160
% 1.90/1.19  conjectures                             13
% 1.90/1.19  EPR                                     47
% 1.90/1.19  Horn                                    110
% 1.90/1.19  unary                                   58
% 1.90/1.19  binary                                  34
% 1.90/1.19  lits                                    520
% 1.90/1.19  lits eq                                 122
% 1.90/1.19  fd_pure                                 0
% 1.90/1.19  fd_pseudo                               0
% 1.90/1.19  fd_cond                                 6
% 1.90/1.19  fd_pseudo_cond                          4
% 1.90/1.19  AC symbols                              0
% 1.90/1.19  
% 1.90/1.19  ------ Schedule dynamic 5 is on 
% 1.90/1.19  
% 1.90/1.19  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  ------ 
% 1.90/1.19  Current options:
% 1.90/1.19  ------ 
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  ------ Proving...
% 1.90/1.19  
% 1.90/1.19  
% 1.90/1.19  % SZS status Theorem for theBenchmark.p
% 1.90/1.19  
% 1.90/1.19  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.90/1.19  
% 1.90/1.19  
%------------------------------------------------------------------------------