TSTP Solution File: SWV186+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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 03:13:42 EDT 2024

% Result   : Theorem 3.69s 1.16s
% Output   : CNFRefutation 3.69s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( ! [X4] :
          ( ( leq(X4,n4)
            & leq(n0,X4) )
         => init = a_select2(sigma_init,X4) )
      & ! [X28] :
          ( ( leq(X28,n4)
            & leq(n0,X28) )
         => init = a_select2(rho_init,X28) )
      & ! [X27] :
          ( ( leq(X27,n4)
            & leq(n0,X27) )
         => init = a_select2(mu_init,X27) )
      & ! [X21] :
          ( ( leq(X21,n4)
            & leq(n0,X21) )
         => init = a_select2(sigmaold_init,X21) )
      & ! [X20] :
          ( ( leq(X20,n4)
            & leq(n0,X20) )
         => init = a_select2(rhoold_init,X20) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select2(muold_init,X19) )
      & ! [X3] :
          ( ( leq(X3,n4)
            & leq(n0,X3) )
         => init = a_select3(center_init,X3,n0) )
      & ! [X13] :
          ( ( leq(X13,n135299)
            & leq(n0,X13) )
         => ! [X17] :
              ( ( leq(X17,n4)
                & leq(n0,X17) )
             => a_select3(q_init,X13,X17) = init ) )
      & gt(loopcounter,n1) )
   => ! [X10] :
        ( ( leq(X10,n4)
          & leq(n0,X10) )
       => init = a_select2(muold_init,X10) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0106) ).

fof(f54,negated_conjecture,
    ~ ( ( ! [X4] :
            ( ( leq(X4,n4)
              & leq(n0,X4) )
           => init = a_select2(sigma_init,X4) )
        & ! [X28] :
            ( ( leq(X28,n4)
              & leq(n0,X28) )
           => init = a_select2(rho_init,X28) )
        & ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(mu_init,X27) )
        & ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select2(sigmaold_init,X21) )
        & ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(rhoold_init,X20) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select2(muold_init,X19) )
        & ! [X3] :
            ( ( leq(X3,n4)
              & leq(n0,X3) )
           => init = a_select3(center_init,X3,n0) )
        & ! [X13] :
            ( ( leq(X13,n135299)
              & leq(n0,X13) )
           => ! [X17] :
                ( ( leq(X17,n4)
                  & leq(n0,X17) )
               => a_select3(q_init,X13,X17) = init ) )
        & gt(loopcounter,n1) )
     => ! [X10] :
          ( ( leq(X10,n4)
            & leq(n0,X10) )
         => init = a_select2(muold_init,X10) ) ),
    inference(negated_conjecture,[],[f53]) ).

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

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

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

fof(f224,plain,
    ( ? [X0] :
        ( init != a_select2(muold_init,X0)
        & leq(X0,n4)
        & leq(n0,X0) )
    & ! [X1] :
        ( init = a_select2(sigma_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(rho_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(mu_init,X3)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( init = a_select2(sigmaold_init,X4)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(rhoold_init,X5)
        | ~ leq(X5,n4)
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( init = a_select2(muold_init,X6)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select3(center_init,X7,n0)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( ! [X9] :
            ( init = a_select3(q_init,X8,X9)
            | ~ leq(X9,n4)
            | ~ leq(n0,X9) )
        | ~ leq(X8,n135299)
        | ~ leq(n0,X8) )
    & gt(loopcounter,n1) ),
    inference(rectify,[],[f157]) ).

fof(f225,plain,
    ( ? [X0] :
        ( init != a_select2(muold_init,X0)
        & leq(X0,n4)
        & leq(n0,X0) )
   => ( init != a_select2(muold_init,sK31)
      & leq(sK31,n4)
      & leq(n0,sK31) ) ),
    introduced(choice_axiom,[]) ).

fof(f226,plain,
    ( init != a_select2(muold_init,sK31)
    & leq(sK31,n4)
    & leq(n0,sK31)
    & ! [X1] :
        ( init = a_select2(sigma_init,X1)
        | ~ leq(X1,n4)
        | ~ leq(n0,X1) )
    & ! [X2] :
        ( init = a_select2(rho_init,X2)
        | ~ leq(X2,n4)
        | ~ leq(n0,X2) )
    & ! [X3] :
        ( init = a_select2(mu_init,X3)
        | ~ leq(X3,n4)
        | ~ leq(n0,X3) )
    & ! [X4] :
        ( init = a_select2(sigmaold_init,X4)
        | ~ leq(X4,n4)
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( init = a_select2(rhoold_init,X5)
        | ~ leq(X5,n4)
        | ~ leq(n0,X5) )
    & ! [X6] :
        ( init = a_select2(muold_init,X6)
        | ~ leq(X6,n4)
        | ~ leq(n0,X6) )
    & ! [X7] :
        ( init = a_select3(center_init,X7,n0)
        | ~ leq(X7,n4)
        | ~ leq(n0,X7) )
    & ! [X8] :
        ( ! [X9] :
            ( init = a_select3(q_init,X8,X9)
            | ~ leq(X9,n4)
            | ~ leq(n0,X9) )
        | ~ leq(X8,n135299)
        | ~ leq(n0,X8) )
    & gt(loopcounter,n1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).

fof(f340,plain,
    ! [X6] :
      ( init = a_select2(muold_init,X6)
      | ~ leq(X6,n4)
      | ~ leq(n0,X6) ),
    inference(cnf_transformation,[],[f226]) ).

fof(f346,plain,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f226]) ).

fof(f347,plain,
    leq(sK31,n4),
    inference(cnf_transformation,[],[f226]) ).

fof(f348,plain,
    init != a_select2(muold_init,sK31),
    inference(cnf_transformation,[],[f226]) ).

cnf(c_157,negated_conjecture,
    a_select2(muold_init,sK31) != init,
    inference(cnf_transformation,[],[f348]) ).

cnf(c_158,negated_conjecture,
    leq(sK31,n4),
    inference(cnf_transformation,[],[f347]) ).

cnf(c_159,negated_conjecture,
    leq(n0,sK31),
    inference(cnf_transformation,[],[f346]) ).

cnf(c_165,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select2(muold_init,X0) = init ),
    inference(cnf_transformation,[],[f340]) ).

cnf(c_5952,plain,
    a_select2(muold_init,sK31) = sP0_iProver_def,
    definition ).

cnf(c_5956,negated_conjecture,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select2(muold_init,X0) = init ),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_5962,negated_conjecture,
    leq(n0,sK31),
    inference(demodulation,[status(thm)],[c_159]) ).

cnf(c_5963,negated_conjecture,
    leq(sK31,n4),
    inference(demodulation,[status(thm)],[c_158]) ).

cnf(c_5964,negated_conjecture,
    sP0_iProver_def != init,
    inference(demodulation,[status(thm)],[c_157,c_5952]) ).

cnf(c_8976,plain,
    ( ~ leq(sK31,n4)
    | a_select2(muold_init,sK31) = init ),
    inference(superposition,[status(thm)],[c_5962,c_5956]) ).

cnf(c_8977,plain,
    ( ~ leq(sK31,n4)
    | init = sP0_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_8976,c_5952]) ).

cnf(c_8978,plain,
    init = sP0_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_8977,c_5963]) ).

cnf(c_8980,plain,
    sP0_iProver_def != sP0_iProver_def,
    inference(demodulation,[status(thm)],[c_5964,c_8978]) ).

cnf(c_8981,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_8980]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWV186+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.14/0.33  % Computer : n031.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 300
% 0.14/0.33  % DateTime : Fri May  3 00:39:16 EDT 2024
% 0.14/0.33  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  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
% 3.69/1.16  % SZS status Started for theBenchmark.p
% 3.69/1.16  % SZS status Theorem for theBenchmark.p
% 3.69/1.16  
% 3.69/1.16  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.69/1.16  
% 3.69/1.16  ------  iProver source info
% 3.69/1.16  
% 3.69/1.16  git: date: 2024-05-02 19:28:25 +0000
% 3.69/1.16  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.69/1.16  git: non_committed_changes: false
% 3.69/1.16  
% 3.69/1.16  ------ Parsing...
% 3.69/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.69/1.16  
% 3.69/1.16  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.69/1.16  
% 3.69/1.16  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.69/1.16  
% 3.69/1.16  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.69/1.16  ------ Proving...
% 3.69/1.16  ------ Problem Properties 
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  clauses                                 160
% 3.69/1.16  conjectures                             12
% 3.69/1.16  EPR                                     47
% 3.69/1.16  Horn                                    110
% 3.69/1.16  unary                                   58
% 3.69/1.16  binary                                  34
% 3.69/1.16  lits                                    517
% 3.69/1.16  lits eq                                 123
% 3.69/1.16  fd_pure                                 0
% 3.69/1.16  fd_pseudo                               0
% 3.69/1.16  fd_cond                                 6
% 3.69/1.16  fd_pseudo_cond                          4
% 3.69/1.16  AC symbols                              0
% 3.69/1.16  
% 3.69/1.16  ------ Schedule dynamic 5 is on 
% 3.69/1.16  
% 3.69/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  ------ 
% 3.69/1.16  Current options:
% 3.69/1.16  ------ 
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  ------ Proving...
% 3.69/1.16  
% 3.69/1.16  
% 3.69/1.16  % SZS status Theorem for theBenchmark.p
% 3.69/1.16  
% 3.69/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.69/1.16  
% 3.69/1.16  
%------------------------------------------------------------------------------