TSTP Solution File: SWV180+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n017.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 22:31:28 EDT 2023

% Result   : Theorem 3.11s 4.02s
% Output   : CNFRefutation 3.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :  220 (  65 equ)
%            Maximal formula atoms :   41 (  14 avg)
%            Number of connectives :  270 (  65   ~;  59   |;  98   &)
%                                         (   0 <=>;  48  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   62 (   0 sgn;  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( ! [X5] :
          ( ( leq(X5,n4)
            & leq(n0,X5) )
         => init = a_select2(sigmaold_init,X5) )
      & ! [X15] :
          ( ( leq(X15,n4)
            & leq(n0,X15) )
         => init = a_select2(rhoold_init,X15) )
      & ! [X10] :
          ( ( leq(X10,n4)
            & leq(n0,X10) )
         => init = a_select2(muold_init,X10) )
      & ( 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(pv86,n4)
      & leq(n0,pv86) )
   => init = a_select2(muold_init,pv86) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0076) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X5] :
            ( ( leq(X5,n4)
              & leq(n0,X5) )
           => init = a_select2(sigmaold_init,X5) )
        & ! [X15] :
            ( ( leq(X15,n4)
              & leq(n0,X15) )
           => init = a_select2(rhoold_init,X15) )
        & ! [X10] :
            ( ( leq(X10,n4)
              & leq(n0,X10) )
           => init = a_select2(muold_init,X10) )
        & ( 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(pv86,n4)
        & leq(n0,pv86) )
     => init = a_select2(muold_init,pv86) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f114,plain,
    ~ ( ( ! [X0] :
            ( ( leq(X0,n4)
              & leq(n0,X0) )
           => init = a_select2(sigmaold_init,X0) )
        & ! [X1] :
            ( ( leq(X1,n4)
              & leq(n0,X1) )
           => init = a_select2(rhoold_init,X1) )
        & ! [X2] :
            ( ( leq(X2,n4)
              & leq(n0,X2) )
           => init = a_select2(muold_init,X2) )
        & ( gt(loopcounter,n1)
         => ! [X3] :
              ( ( leq(X3,n4)
                & leq(n0,X3) )
             => init = a_select2(sigmaold_init,X3) ) )
        & ( gt(loopcounter,n1)
         => ! [X4] :
              ( ( leq(X4,n4)
                & leq(n0,X4) )
             => init = a_select2(rhoold_init,X4) ) )
        & ( gt(loopcounter,n1)
         => ! [X5] :
              ( ( leq(X5,n4)
                & leq(n0,X5) )
             => init = a_select2(muold_init,X5) ) )
        & ! [X6] :
            ( ( leq(X6,n4)
              & leq(n0,X6) )
           => init = a_select3(center_init,X6,n0) )
        & ! [X7] :
            ( ( leq(X7,n4)
              & leq(n0,X7) )
           => init = a_select2(sigma_init,X7) )
        & ! [X8] :
            ( ( leq(X8,n4)
              & leq(n0,X8) )
           => init = a_select2(mu_init,X8) )
        & ! [X9] :
            ( ( leq(X9,n4)
              & leq(n0,X9) )
           => init = a_select2(rho_init,X9) )
        & ! [X10] :
            ( ( leq(X10,n135299)
              & leq(n0,X10) )
           => ! [X11] :
                ( ( leq(X11,n4)
                  & leq(n0,X11) )
               => init = a_select3(q_init,X10,X11) ) )
        & leq(pv86,n4)
        & leq(n0,pv86) )
     => init = a_select2(muold_init,pv86) ),
    inference(rectify,[],[f54]) ).

fof(f156,plain,
    ( init != a_select2(muold_init,pv86)
    & ! [X0] :
        ( init = a_select2(sigmaold_init,X0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(rhoold_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(muold_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X4] :
          ( init = a_select2(rhoold_init,X4)
          | ~ leq(X4,n4)
          | ~ leq(n0,X4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X5] :
          ( init = a_select2(muold_init,X5)
          | ~ leq(X5,n4)
          | ~ leq(n0,X5) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select2(sigma_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( init = a_select2(mu_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ! [X9] :
        ( init = a_select2(rho_init,X9)
        | ~ leq(X9,n4)
        | ~ leq(n0,X9) )
    & ! [X10] :
        ( ! [X11] :
            ( init = a_select3(q_init,X10,X11)
            | ~ leq(X11,n4)
            | ~ leq(n0,X11) )
        | ~ leq(X10,n135299)
        | ~ leq(n0,X10) )
    & leq(pv86,n4)
    & leq(n0,pv86) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ( init != a_select2(muold_init,pv86)
    & ! [X0] :
        ( init = a_select2(sigmaold_init,X0)
        | ~ leq(X0,n4)
        | ~ leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(rhoold_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(muold_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ( ! [X3] :
          ( init = a_select2(sigmaold_init,X3)
          | ~ leq(X3,n4)
          | ~ leq(n0,X3) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X4] :
          ( init = a_select2(rhoold_init,X4)
          | ~ leq(X4,n4)
          | ~ leq(n0,X4) )
      | ~ gt(loopcounter,n1) )
    & ( ! [X5] :
          ( init = a_select2(muold_init,X5)
          | ~ leq(X5,n4)
          | ~ leq(n0,X5) )
      | ~ gt(loopcounter,n1) )
    & ! [X6] :
        ( init = a_select3(center_init,X6,n0)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select2(sigma_init,X7)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( init = a_select2(mu_init,X8)
        | ~ leq(X8,n4)
        | ~ leq(n0,X8) )
    & ! [X9] :
        ( init = a_select2(rho_init,X9)
        | ~ leq(X9,n4)
        | ~ leq(n0,X9) )
    & ! [X10] :
        ( ! [X11] :
            ( init = a_select3(q_init,X10,X11)
            | ~ leq(X11,n4)
            | ~ leq(n0,X11) )
        | ~ leq(X10,n135299)
        | ~ leq(n0,X10) )
    & leq(pv86,n4)
    & leq(n0,pv86) ),
    inference(flattening,[],[f156]) ).

fof(f334,plain,
    leq(n0,pv86),
    inference(cnf_transformation,[],[f157]) ).

fof(f335,plain,
    leq(pv86,n4),
    inference(cnf_transformation,[],[f157]) ).

fof(f344,plain,
    ! [X2] :
      ( init = a_select2(muold_init,X2)
      | ~ leq(X2,n4)
      | ~ leq(n0,X2) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f347,plain,
    init != a_select2(muold_init,pv86),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_157,negated_conjecture,
    a_select2(muold_init,pv86) != init,
    inference(cnf_transformation,[],[f347]) ).

cnf(c_160,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select2(muold_init,X0) = init ),
    inference(cnf_transformation,[],[f344]) ).

cnf(c_169,negated_conjecture,
    leq(pv86,n4),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_170,negated_conjecture,
    leq(n0,pv86),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_14487,plain,
    ( ~ leq(pv86,n4)
    | a_select2(muold_init,pv86) = init ),
    inference(superposition,[status(thm)],[c_170,c_160]) ).

cnf(c_14488,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_14487,c_157,c_169]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/1.08  % Problem  : SWV180+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.09/1.16  % Command  : run_iprover %s %d THM
% 0.11/1.48  % Computer : n017.cluster.edu
% 0.11/1.48  % Model    : x86_64 x86_64
% 0.11/1.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/1.48  % Memory   : 8042.1875MB
% 0.11/1.48  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/1.48  % CPULimit : 300
% 0.11/1.48  % WCLimit  : 300
% 0.11/1.48  % DateTime : Tue Aug 29 04:24:29 EDT 2023
% 0.13/1.49  % CPUTime  : 
% 0.21/2.65  Running first-order theorem proving
% 0.21/2.65  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.11/4.02  % SZS status Started for theBenchmark.p
% 3.11/4.02  % SZS status Theorem for theBenchmark.p
% 3.11/4.02  
% 3.11/4.02  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.11/4.02  
% 3.11/4.02  ------  iProver source info
% 3.11/4.02  
% 3.11/4.02  git: date: 2023-05-31 18:12:56 +0000
% 3.11/4.02  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.11/4.02  git: non_committed_changes: false
% 3.11/4.02  git: last_make_outside_of_git: false
% 3.11/4.02  
% 3.11/4.02  ------ Parsing...
% 3.11/4.02  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.11/4.02  
% 3.11/4.02  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.11/4.02  
% 3.11/4.02  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.11/4.02  
% 3.11/4.02  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.11/4.02  ------ Proving...
% 3.11/4.02  ------ Problem Properties 
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  clauses                                 158
% 3.11/4.02  conjectures                             11
% 3.11/4.02  EPR                                     45
% 3.11/4.02  Horn                                    108
% 3.11/4.02  unary                                   56
% 3.11/4.02  binary                                  34
% 3.11/4.02  lits                                    515
% 3.11/4.02  lits eq                                 122
% 3.11/4.02  fd_pure                                 0
% 3.11/4.02  fd_pseudo                               0
% 3.11/4.02  fd_cond                                 6
% 3.11/4.02  fd_pseudo_cond                          4
% 3.11/4.02  AC symbols                              0
% 3.11/4.02  
% 3.11/4.02  ------ Schedule dynamic 5 is on 
% 3.11/4.02  
% 3.11/4.02  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  ------ 
% 3.11/4.02  Current options:
% 3.11/4.02  ------ 
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  ------ Proving...
% 3.11/4.02  
% 3.11/4.02  
% 3.11/4.02  % SZS status Theorem for theBenchmark.p
% 3.11/4.02  
% 3.11/4.02  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.11/4.02  
% 3.11/4.02  
%------------------------------------------------------------------------------