TSTP Solution File: SWV187+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWV187+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n012.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 18:15:31 EDT 2022

% Result   : Theorem 0.23s 1.41s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :  123 (  27 equ)
%            Maximal formula atoms :   27 (   7 avg)
%            Number of connectives :  141 (  34   ~;  31   |;  43   &)
%                                         (   1 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :   29 (   0 sgn  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_init_0111,conjecture,
    ( ( gt(loopcounter,n1)
      & ! [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_select3(center_init,X4,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n4) )
           => a_select2(muold_init,X20) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(rhoold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(sigmaold_init,X22) = init ) ) )
   => ! [X28] :
        ( ( leq(n0,X28)
          & leq(X28,n4) )
       => a_select2(sigmaold_init,X28) = init ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cl5_nebula_init_0111) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( gt(loopcounter,n1)
      & ! [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_select3(center_init,X4,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n4) )
           => a_select2(muold_init,X20) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(rhoold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(sigmaold_init,X22) = init ) ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( gt(loopcounter,n1)
      & ! [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_select3(center_init,X4,n0) = init )
      & ( gt(loopcounter,n1)
       => ! [X20] :
            ( ( leq(n0,X20)
              & leq(X20,n4) )
           => a_select2(muold_init,X20) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X21] :
            ( ( leq(n0,X21)
              & leq(X21,n4) )
           => a_select2(rhoold_init,X21) = init ) )
      & ( gt(loopcounter,n1)
       => ! [X22] :
            ( ( leq(n0,X22)
              & leq(X22,n4) )
           => a_select2(sigmaold_init,X22) = init ) ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => ! [X28] :
          ( ( leq(n0,X28)
            & leq(X28,n4) )
         => a_select2(sigmaold_init,X28) = init ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[cl5_nebula_init_0111]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X23,X24,X25,X26,X27,X28] :
      ( ( gt(loopcounter,n1)
        | ~ epred1_0 )
      & ( ~ leq(n0,X23)
        | ~ leq(X23,n135299)
        | ~ leq(n0,X24)
        | ~ leq(X24,n4)
        | a_select3(q_init,X23,X24) = init
        | ~ epred1_0 )
      & ( ~ leq(n0,X25)
        | ~ leq(X25,n4)
        | a_select3(center_init,X25,n0) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X26)
        | ~ leq(X26,n4)
        | a_select2(muold_init,X26) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X27)
        | ~ leq(X27,n4)
        | a_select2(rhoold_init,X27) = init
        | ~ epred1_0 )
      & ( ~ gt(loopcounter,n1)
        | ~ leq(n0,X28)
        | ~ leq(X28,n4)
        | a_select2(sigmaold_init,X28) = 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(sigmaold_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(sigmaold_init,X1) = init
    | ~ epred1_0
    | ~ leq(X1,n4)
    | ~ leq(n0,X1)
    | ~ gt(loopcounter,n1) ),
    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,plain,
    ( gt(loopcounter,n1)
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ( a_select2(sigmaold_init,X1) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1)
    | ~ gt(loopcounter,n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_10,plain,
    gt(loopcounter,n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).

cnf(c_0_11,negated_conjecture,
    a_select2(sigmaold_init,esk1_0) != init,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_12,plain,
    ( a_select2(sigmaold_init,X1) = init
    | ~ leq(X1,n4)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

cnf(c_0_13,negated_conjecture,
    leq(esk1_0,n4),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]),c_0_14])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SWV187+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun 15 15:07:54 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.23/1.41  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.41  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.41  # Preprocessing time       : 0.018 s
% 0.23/1.41  
% 0.23/1.41  # Proof found!
% 0.23/1.41  # SZS status Theorem
% 0.23/1.41  # SZS output start CNFRefutation
% See solution above
% 0.23/1.41  # Proof object total steps             : 16
% 0.23/1.41  # Proof object clause steps            : 10
% 0.23/1.41  # Proof object formula steps           : 6
% 0.23/1.41  # Proof object conjectures             : 8
% 0.23/1.41  # Proof object clause conjectures      : 5
% 0.23/1.41  # Proof object formula conjectures     : 3
% 0.23/1.41  # Proof object initial clauses used    : 6
% 0.23/1.41  # Proof object initial formulas used   : 1
% 0.23/1.41  # Proof object generating inferences   : 1
% 0.23/1.41  # Proof object simplifying inferences  : 9
% 0.23/1.41  # Training examples: 0 positive, 0 negative
% 0.23/1.41  # Parsed axioms                        : 92
% 0.23/1.41  # Removed by relevancy pruning/SinE    : 29
% 0.23/1.41  # Initial clauses                      : 74
% 0.23/1.41  # Removed in clause preprocessing      : 1
% 0.23/1.41  # Initial clauses in saturation        : 73
% 0.23/1.41  # Processed clauses                    : 84
% 0.23/1.41  # ...of these trivial                  : 0
% 0.23/1.41  # ...subsumed                          : 0
% 0.23/1.41  # ...remaining for further processing  : 84
% 0.23/1.41  # Other redundant clauses eliminated   : 0
% 0.23/1.41  # Clauses deleted for lack of memory   : 0
% 0.23/1.41  # Backward-subsumed                    : 0
% 0.23/1.41  # Backward-rewritten                   : 3
% 0.23/1.41  # Generated clauses                    : 217
% 0.23/1.41  # ...of the previous two non-trivial   : 188
% 0.23/1.41  # Contextual simplify-reflections      : 0
% 0.23/1.41  # Paramodulations                      : 215
% 0.23/1.41  # Factorizations                       : 2
% 0.23/1.41  # Equation resolutions                 : 0
% 0.23/1.41  # Current number of processed clauses  : 81
% 0.23/1.41  #    Positive orientable unit clauses  : 47
% 0.23/1.41  #    Positive unorientable unit clauses: 3
% 0.23/1.41  #    Negative unit clauses             : 3
% 0.23/1.41  #    Non-unit-clauses                  : 28
% 0.23/1.41  # Current number of unprocessed clauses: 168
% 0.23/1.41  # ...number of literals in the above   : 462
% 0.23/1.41  # Current number of archived formulas  : 0
% 0.23/1.41  # Current number of archived clauses   : 4
% 0.23/1.41  # Clause-clause subsumption calls (NU) : 25
% 0.23/1.41  # Rec. Clause-clause subsumption calls : 9
% 0.23/1.41  # Non-unit clause-clause subsumptions  : 0
% 0.23/1.41  # Unit Clause-clause subsumption calls : 3
% 0.23/1.41  # Rewrite failures with RHS unbound    : 0
% 0.23/1.41  # BW rewrite match attempts            : 12
% 0.23/1.41  # BW rewrite match successes           : 10
% 0.23/1.41  # Condensation attempts                : 0
% 0.23/1.41  # Condensation successes               : 0
% 0.23/1.41  # Termbank termtop insertions          : 6033
% 0.23/1.41  
% 0.23/1.41  # -------------------------------------------------
% 0.23/1.41  # User time                : 0.021 s
% 0.23/1.41  # System time              : 0.002 s
% 0.23/1.41  # Total time               : 0.023 s
% 0.23/1.41  # Maximum resident set size: 3468 pages
%------------------------------------------------------------------------------