TSTP Solution File: SWV175+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n027.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 03:13:40 EDT 2024

% Result   : Theorem 4.28s 1.20s
% Output   : CNFRefutation 4.28s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named definition)

% Comments : 
%------------------------------------------------------------------------------
fof(f53,conjecture,
    ( ( ( gt(loopcounter,n1)
       => ! [X27] :
            ( ( leq(X27,n4)
              & leq(n0,X27) )
           => init = a_select2(sigmaold_init,X27) ) )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(X21,n4)
              & leq(n0,X21) )
           => init = a_select2(rhoold_init,X21) ) )
      & ( gt(loopcounter,n1)
       => ! [X20] :
            ( ( leq(X20,n4)
              & leq(n0,X20) )
           => init = a_select2(muold_init,X20) ) )
      & ! [X19] :
          ( ( leq(X19,n4)
            & leq(n0,X19) )
         => init = a_select3(center_init,X19,n0) )
      & ! [X3] :
          ( ( leq(X3,pred(pv28))
            & 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(pv30,n135299)
      & leq(pv28,n4)
      & leq(n0,pv30)
      & leq(n0,pv28) )
   => init = a_select3(q_init,pv30,pv28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_init_0051) ).

fof(f54,negated_conjecture,
    ~ ( ( ( gt(loopcounter,n1)
         => ! [X27] :
              ( ( leq(X27,n4)
                & leq(n0,X27) )
             => init = a_select2(sigmaold_init,X27) ) )
        & ( gt(loopcounter,n1)
         => ! [X21] :
              ( ( leq(X21,n4)
                & leq(n0,X21) )
             => init = a_select2(rhoold_init,X21) ) )
        & ( gt(loopcounter,n1)
         => ! [X20] :
              ( ( leq(X20,n4)
                & leq(n0,X20) )
             => init = a_select2(muold_init,X20) ) )
        & ! [X19] :
            ( ( leq(X19,n4)
              & leq(n0,X19) )
           => init = a_select3(center_init,X19,n0) )
        & ! [X3] :
            ( ( leq(X3,pred(pv28))
              & 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(pv30,n135299)
        & leq(pv28,n4)
        & leq(n0,pv30)
        & leq(n0,pv28) )
     => init = a_select3(q_init,pv30,pv28) ),
    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(pv28))
              & leq(n0,X4) )
           => init = a_select2(rho_init,X4) )
        & ! [X5] :
            ( ( leq(X5,n135299)
              & leq(n0,X5) )
           => ! [X6] :
                ( ( leq(X6,n4)
                  & leq(n0,X6) )
               => init = a_select3(q_init,X5,X6) ) )
        & leq(pv30,n135299)
        & leq(pv28,n4)
        & leq(n0,pv30)
        & leq(n0,pv28) )
     => init = a_select3(q_init,pv30,pv28) ),
    inference(rectify,[],[f54]) ).

fof(f156,plain,
    ( init != a_select3(q_init,pv30,pv28)
    & ( ! [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(rho_init,X4)
        | ~ leq(X4,pred(pv28))
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(X6,n4)
            | ~ leq(n0,X6) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) )
    & leq(pv30,n135299)
    & leq(pv28,n4)
    & leq(n0,pv30)
    & leq(n0,pv28) ),
    inference(ennf_transformation,[],[f114]) ).

fof(f157,plain,
    ( init != a_select3(q_init,pv30,pv28)
    & ( ! [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(rho_init,X4)
        | ~ leq(X4,pred(pv28))
        | ~ leq(n0,X4) )
    & ! [X5] :
        ( ! [X6] :
            ( init = a_select3(q_init,X5,X6)
            | ~ leq(X6,n4)
            | ~ leq(n0,X6) )
        | ~ leq(X5,n135299)
        | ~ leq(n0,X5) )
    & leq(pv30,n135299)
    & leq(pv28,n4)
    & leq(n0,pv30)
    & leq(n0,pv28) ),
    inference(flattening,[],[f156]) ).

fof(f334,plain,
    leq(n0,pv28),
    inference(cnf_transformation,[],[f157]) ).

fof(f335,plain,
    leq(n0,pv30),
    inference(cnf_transformation,[],[f157]) ).

fof(f336,plain,
    leq(pv28,n4),
    inference(cnf_transformation,[],[f157]) ).

fof(f337,plain,
    leq(pv30,n135299),
    inference(cnf_transformation,[],[f157]) ).

fof(f338,plain,
    ! [X6,X5] :
      ( init = a_select3(q_init,X5,X6)
      | ~ leq(X6,n4)
      | ~ leq(n0,X6)
      | ~ leq(X5,n135299)
      | ~ leq(n0,X5) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f344,plain,
    init != a_select3(q_init,pv30,pv28),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_157,negated_conjecture,
    a_select3(q_init,pv30,pv28) != init,
    inference(cnf_transformation,[],[f344]) ).

cnf(c_163,negated_conjecture,
    ( ~ leq(X0,n135299)
    | ~ leq(X1,n4)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(q_init,X0,X1) = init ),
    inference(cnf_transformation,[],[f338]) ).

cnf(c_164,negated_conjecture,
    leq(pv30,n135299),
    inference(cnf_transformation,[],[f337]) ).

cnf(c_165,negated_conjecture,
    leq(pv28,n4),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_166,negated_conjecture,
    leq(n0,pv30),
    inference(cnf_transformation,[],[f335]) ).

cnf(c_167,negated_conjecture,
    leq(n0,pv28),
    inference(cnf_transformation,[],[f334]) ).

cnf(c_5941,plain,
    a_select3(q_init,pv30,pv28) = sP1_iProver_def,
    definition ).

cnf(c_5942,negated_conjecture,
    leq(n0,pv28),
    inference(demodulation,[status(thm)],[c_167]) ).

cnf(c_5943,negated_conjecture,
    leq(n0,pv30),
    inference(demodulation,[status(thm)],[c_166]) ).

cnf(c_5944,negated_conjecture,
    leq(pv28,n4),
    inference(demodulation,[status(thm)],[c_165]) ).

cnf(c_5945,negated_conjecture,
    leq(pv30,n135299),
    inference(demodulation,[status(thm)],[c_164]) ).

cnf(c_5946,negated_conjecture,
    ( ~ leq(X0,n135299)
    | ~ leq(X1,n4)
    | ~ leq(n0,X0)
    | ~ leq(n0,X1)
    | a_select3(q_init,X0,X1) = init ),
    inference(demodulation,[status(thm)],[c_163]) ).

cnf(c_5952,negated_conjecture,
    sP1_iProver_def != init,
    inference(demodulation,[status(thm)],[c_157,c_5941]) ).

cnf(c_9059,plain,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | ~ leq(pv30,n135299)
    | a_select3(q_init,pv30,X0) = init ),
    inference(superposition,[status(thm)],[c_5943,c_5946]) ).

cnf(c_9065,plain,
    ( ~ leq(X0,n4)
    | ~ leq(n0,X0)
    | a_select3(q_init,pv30,X0) = init ),
    inference(forward_subsumption_resolution,[status(thm)],[c_9059,c_5945]) ).

cnf(c_9151,plain,
    ( ~ leq(pv28,n4)
    | a_select3(q_init,pv30,pv28) = init ),
    inference(superposition,[status(thm)],[c_5942,c_9065]) ).

cnf(c_9152,plain,
    ( ~ leq(pv28,n4)
    | init = sP1_iProver_def ),
    inference(light_normalisation,[status(thm)],[c_9151,c_5941]) ).

cnf(c_9153,plain,
    init = sP1_iProver_def,
    inference(forward_subsumption_resolution,[status(thm)],[c_9152,c_5944]) ).

cnf(c_9180,plain,
    sP1_iProver_def != sP1_iProver_def,
    inference(demodulation,[status(thm)],[c_5952,c_9153]) ).

cnf(c_9181,plain,
    $false,
    inference(equality_resolution_simp,[status(thm)],[c_9180]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SWV175+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri May  3 00:46:50 EDT 2024
% 0.14/0.35  % 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 --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.28/1.20  % SZS status Started for theBenchmark.p
% 4.28/1.20  % SZS status Theorem for theBenchmark.p
% 4.28/1.20  
% 4.28/1.20  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.28/1.20  
% 4.28/1.20  ------  iProver source info
% 4.28/1.20  
% 4.28/1.20  git: date: 2024-05-02 19:28:25 +0000
% 4.28/1.20  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.28/1.20  git: non_committed_changes: false
% 4.28/1.20  
% 4.28/1.20  ------ Parsing...
% 4.28/1.20  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 4.28/1.20  
% 4.28/1.20  ------ Preprocessing... sup_sim: 16  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 4.28/1.20  
% 4.28/1.20  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.28/1.20  
% 4.28/1.20  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 4.28/1.20  ------ Proving...
% 4.28/1.20  ------ Problem Properties 
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  clauses                                 160
% 4.28/1.20  conjectures                             11
% 4.28/1.20  EPR                                     48
% 4.28/1.20  Horn                                    110
% 4.28/1.20  unary                                   60
% 4.28/1.20  binary                                  34
% 4.28/1.20  lits                                    516
% 4.28/1.20  lits eq                                 122
% 4.28/1.20  fd_pure                                 0
% 4.28/1.20  fd_pseudo                               0
% 4.28/1.20  fd_cond                                 6
% 4.28/1.20  fd_pseudo_cond                          4
% 4.28/1.20  AC symbols                              0
% 4.28/1.20  
% 4.28/1.20  ------ Schedule dynamic 5 is on 
% 4.28/1.20  
% 4.28/1.20  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  ------ 
% 4.28/1.20  Current options:
% 4.28/1.20  ------ 
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  ------ Proving...
% 4.28/1.20  
% 4.28/1.20  
% 4.28/1.20  % SZS status Theorem for theBenchmark.p
% 4.28/1.20  
% 4.28/1.20  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/1.20  
% 4.28/1.20  
%------------------------------------------------------------------------------