TSTP Solution File: SWV183+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n006.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  : 600s
% DateTime : Wed Jul 20 18:15:30 EDT 2022

% Result   : Theorem 0.26s 1.44s
% Output   : CNFRefutation 0.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   5 unt;   0 def)
%            Number of atoms       :  193 (  50 equ)
%            Maximal formula atoms :   51 (  14 avg)
%            Number of connectives :  227 (  47   ~;  44   |;  85   &)
%                                         (   1 <=>;  50  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  15 con; 0-3 aty)
%            Number of variables   :   52 (   0 sgn  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0091,conjecture,
    ( ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) )
   => ! [X19] :
        ( ( leq(n0,X19)
          & leq(X19,n4) )
       => a_select2(mu_init,X19) = init ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_init_0091) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( gt(loopcounter,n0)
      & ! [X14] :
          ( ( leq(n0,X14)
            & leq(X14,n135299) )
         => ! [X18] :
              ( ( leq(n0,X18)
                & leq(X18,n4) )
             => a_select3(q_init,X14,X18) = init ) )
      & ! [X4] :
          ( ( leq(n0,X4)
            & leq(X4,n4) )
         => a_select2(rho_init,X4) = init )
      & ! [X20] :
          ( ( leq(n0,X20)
            & leq(X20,n4) )
         => a_select2(mu_init,X20) = init )
      & ! [X21] :
          ( ( leq(n0,X21)
            & leq(X21,n4) )
         => a_select2(sigma_init,X21) = init )
      & ! [X22] :
          ( ( leq(n0,X22)
            & leq(X22,n4) )
         => a_select3(center_init,X22,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X28] :
            ( ( leq(n0,X28)
              & leq(X28,n4) )
           => a_select2(muold_init,X28) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X29] :
            ( ( leq(n0,X29)
              & leq(X29,n4) )
           => a_select2(rhoold_init,X29) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X5] :
            ( ( leq(n0,X5)
              & leq(X5,n4) )
           => a_select2(sigmaold_init,X5) = init ) )
      & ! [X11] :
          ( ( leq(n0,X11)
            & leq(X11,n4) )
         => a_select2(muold_init,X11) = init )
      & ! [X16] :
          ( ( leq(n0,X16)
            & leq(X16,n4) )
         => a_select2(rhoold_init,X16) = init )
      & ! [X6] :
          ( ( leq(n0,X6)
            & leq(X6,n4) )
         => a_select2(sigmaold_init,X6) = init ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => ! [X19] :
          ( ( leq(n0,X19)
            & leq(X19,n4) )
         => a_select2(mu_init,X19) = init ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0091]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X30,X31,X32,X33,X34,X35,X36,X37,X38,X39,X40,X41] :
      ( ( gt(loopcounter,n0)
        | ~ epred1_0 )
      & ( ~ leq(n0,X30)
        | ~ leq(X30,n135299)
        | ~ leq(n0,X31)
        | ~ leq(X31,n4)
        | a_select3(q_init,X30,X31) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X32)
        | ~ leq(X32,n4)
        | a_select2(rho_init,X32) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X33)
        | ~ leq(X33,n4)
        | a_select2(mu_init,X33) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X34)
        | ~ leq(X34,n4)
        | a_select2(sigma_init,X34) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X35)
        | ~ leq(X35,n4)
        | a_select3(center_init,X35,n0) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X36)
        | ~ leq(X36,n4)
        | a_select2(muold_init,X36) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X37)
        | ~ leq(X37,n4)
        | a_select2(rhoold_init,X37) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X38)
        | ~ leq(X38,n4)
        | a_select2(sigmaold_init,X38) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X39)
        | ~ leq(X39,n4)
        | a_select2(muold_init,X39) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X40)
        | ~ leq(X40,n4)
        | a_select2(rhoold_init,X40) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X41)
        | ~ leq(X41,n4)
        | a_select2(sigmaold_init,X41) = init
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred1_0
    & leq(n0,esk1_0)
    & leq(esk1_0,n4)
    & a_select2(mu_init,esk1_0) != init ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

cnf(c_0_6,plain,
    ( a_select2(mu_init,X1) = init
    | ~ epred1_0
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    a_select2(mu_init,esk1_0) != init,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( a_select2(mu_init,X1) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,negated_conjecture,
    leq(esk1_0,n4),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV183+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.07/0.14  % Command  : run_ET %s %d
% 0.15/0.35  % Computer : n006.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  : 600
% 0.15/0.35  % DateTime : Wed Jun 15 18:10:11 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.26/1.44  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.26/1.44  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.26/1.44  # Preprocessing time       : 0.019 s
% 0.26/1.44  
% 0.26/1.44  # Proof found!
% 0.26/1.44  # SZS status Theorem
% 0.26/1.44  # SZS output start CNFRefutation
% See solution above
% 0.26/1.44  # Proof object total steps             : 13
% 0.26/1.44  # Proof object clause steps            : 7
% 0.26/1.44  # Proof object formula steps           : 6
% 0.26/1.44  # Proof object conjectures             : 8
% 0.26/1.44  # Proof object clause conjectures      : 5
% 0.26/1.44  # Proof object formula conjectures     : 3
% 0.26/1.44  # Proof object initial clauses used    : 5
% 0.26/1.44  # Proof object initial formulas used   : 1
% 0.26/1.44  # Proof object generating inferences   : 1
% 0.26/1.44  # Proof object simplifying inferences  : 5
% 0.26/1.44  # Training examples: 0 positive, 0 negative
% 0.26/1.44  # Parsed axioms                        : 92
% 0.26/1.44  # Removed by relevancy pruning/SinE    : 29
% 0.26/1.44  # Initial clauses                      : 80
% 0.26/1.44  # Removed in clause preprocessing      : 1
% 0.26/1.44  # Initial clauses in saturation        : 79
% 0.26/1.44  # Processed clauses                    : 14
% 0.26/1.44  # ...of these trivial                  : 0
% 0.26/1.44  # ...subsumed                          : 0
% 0.26/1.44  # ...remaining for further processing  : 14
% 0.26/1.44  # Other redundant clauses eliminated   : 0
% 0.26/1.44  # Clauses deleted for lack of memory   : 0
% 0.26/1.44  # Backward-subsumed                    : 0
% 0.26/1.44  # Backward-rewritten                   : 0
% 0.26/1.44  # Generated clauses                    : 1
% 0.26/1.44  # ...of the previous two non-trivial   : 0
% 0.26/1.44  # Contextual simplify-reflections      : 0
% 0.26/1.44  # Paramodulations                      : 1
% 0.26/1.44  # Factorizations                       : 0
% 0.26/1.44  # Equation resolutions                 : 0
% 0.26/1.44  # Current number of processed clauses  : 14
% 0.26/1.44  #    Positive orientable unit clauses  : 11
% 0.26/1.44  #    Positive unorientable unit clauses: 0
% 0.26/1.44  #    Negative unit clauses             : 2
% 0.26/1.44  #    Non-unit-clauses                  : 1
% 0.26/1.44  # Current number of unprocessed clauses: 65
% 0.26/1.44  # ...number of literals in the above   : 143
% 0.26/1.44  # Current number of archived formulas  : 0
% 0.26/1.44  # Current number of archived clauses   : 1
% 0.26/1.44  # Clause-clause subsumption calls (NU) : 0
% 0.26/1.44  # Rec. Clause-clause subsumption calls : 0
% 0.26/1.44  # Non-unit clause-clause subsumptions  : 0
% 0.26/1.44  # Unit Clause-clause subsumption calls : 0
% 0.26/1.44  # Rewrite failures with RHS unbound    : 0
% 0.26/1.44  # BW rewrite match attempts            : 2
% 0.26/1.44  # BW rewrite match successes           : 0
% 0.26/1.44  # Condensation attempts                : 0
% 0.26/1.44  # Condensation successes               : 0
% 0.26/1.44  # Termbank termtop insertions          : 4439
% 0.26/1.44  
% 0.26/1.44  # -------------------------------------------------
% 0.26/1.44  # User time                : 0.018 s
% 0.26/1.44  # System time              : 0.002 s
% 0.26/1.44  # Total time               : 0.020 s
% 0.26/1.44  # Maximum resident set size: 2964 pages
%------------------------------------------------------------------------------