TMTP Model File: GRP396+1.004-Sat

View Problem - Process Model

%------------------------------------------------------------------------------
% File       : ET---1.0
% Problem    : GRP396+1 : TPTP v6.2.0. Released v2.5.0.
% Transform  : none
% Format     : tptp:raw
% Command    : do_ET %s

% Computer   : n019.star.cs.uiowa.edu
% Model      : x86_64 x86_64
% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory     : 16127.75MB
% OS         : Linux 2.6.32-504.16.2.el6.x86_64
% CPULimit   : 300s
% DateTime   : Fri Jun 12 20:03:18 EDT 2015

% Result     : Satisfiable 0.04s
% Output     : Saturation 0.04s
% Verified   : 
% Statistics : Number of formulae       :   14 (  14 expanded)
%              Number of clauses        :    8 (   8 expanded)
%              Number of leaves         :    2 (   2 expanded)
%              Depth                    :    6
%              Number of atoms          :   49 (  49 expanded)
%              Number of equality atoms :    7 (   7 expanded)
%              Maximal formula depth    :    9 (   6 average)
%              Maximal clause size      :    4 (   4 average)
%              Maximal term depth       :    3 (   1 average)

% Comments   : 
%------------------------------------------------------------------------------
%----WARNING: ET---1.0 format not known, defaulting to TPTP
fof(c_0_0,axiom,(
    ! [X1,X2,X3,X4] :
      ( ( group_member(X2,X1)
        & group_member(X3,X1)
        & group_member(X4,X1) )
     => multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4)) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax',associativity)).

fof(c_0_1,axiom,(
    ! [X1,X2,X3] :
      ( ( group_member(X2,X1)
        & group_member(X3,X1) )
     => group_member(multiply(X1,X2,X3),X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax',total_function)).

fof(c_0_2,axiom,(
    ! [X1,X2,X3,X4] :
      ( ( group_member(X2,X1)
        & group_member(X3,X1)
        & group_member(X4,X1) )
     => multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4)) ) ),
    c_0_0).

fof(c_0_3,axiom,(
    ! [X1,X2,X3] :
      ( ( group_member(X2,X1)
        & group_member(X3,X1) )
     => group_member(multiply(X1,X2,X3),X1) ) ),
    c_0_1).

fof(c_0_4,plain,(
    ! [X5,X6,X7,X8] :
      ( ~ group_member(X6,X5)
      | ~ group_member(X7,X5)
      | ~ group_member(X8,X5)
      | multiply(X5,multiply(X5,X6,X7),X8) = multiply(X5,X6,multiply(X5,X7,X8)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])).

fof(c_0_5,plain,(
    ! [X4,X5,X6] :
      ( ~ group_member(X5,X4)
      | ~ group_member(X6,X4)
      | group_member(multiply(X4,X5,X6),X4) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])).

cnf(c_0_6,plain,
    ( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
    | ~ group_member(X4,X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4])).

cnf(c_0_7,plain,
    ( group_member(multiply(X1,X2,X3),X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5])).

cnf(c_0_8,plain,
    ( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
    | ~ group_member(X4,X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_6).

cnf(c_0_9,plain,
    ( group_member(multiply(X1,X2,X3),X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_7).

cnf(c_0_10,plain,
    ( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
    | ~ group_member(X4,X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_8).

cnf(c_0_11,plain,
    ( group_member(multiply(X1,X2,X3),X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_9).

cnf(c_0_12,plain,
    ( multiply(X1,multiply(X1,X2,X3),X4) = multiply(X1,X2,multiply(X1,X3,X4))
    | ~ group_member(X4,X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_10,
    [final]).

cnf(c_0_13,plain,
    ( group_member(multiply(X1,X2,X3),X1)
    | ~ group_member(X3,X1)
    | ~ group_member(X2,X1) ),
    c_0_11,
    [final]).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem    : GRP396+1 : TPTP v6.2.0. Released v2.5.0.
% 0.00/0.03  % Command    : do_ET %s
% 0.03/1.08  % Computer   : n019.star.cs.uiowa.edu
% 0.03/1.08  % Model      : x86_64 x86_64
% 0.03/1.08  % CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/1.08  % Memory     : 16127.75MB
% 0.03/1.08  % OS         : Linux 2.6.32-504.16.2.el6.x86_64
% 0.03/1.08  % CPULimit   : 300
% 0.03/1.08  % DateTime   : Fri Jun 12 11:59:40 CDT 2015
% 0.03/1.08  % CPUTime    : 
% 0.04/1.14  # No SInE strategy applied
% 0.04/1.14  # Trying AutoSched4 for 18 seconds
% 0.04/1.14  # AutoSched4-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.04/1.14  # and selection function SelectNewComplexAHPNS.
% 0.04/1.14  #
% 0.04/1.14  # Preprocessing time       : 0.006 s
% 0.04/1.14  # Presaturation interreduction done
% 0.04/1.14  
% 0.04/1.14  # No proof found!
% 0.04/1.14  # SZS status Satisfiable
% 0.04/1.14  # SZS output start Saturation.
% 0.04/1.14  fof(c_0_0, axiom, (![X1]:![X2]:![X3]:![X4]:(((group_member(X2,X1)&group_member(X3,X1))&group_member(X4,X1))=>multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4)))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax', associativity)).
% 0.04/1.14  fof(c_0_1, axiom, (![X1]:![X2]:![X3]:((group_member(X2,X1)&group_member(X3,X1))=>group_member(multiply(X1,X2,X3),X1))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP007+0.ax', total_function)).
% 0.04/1.14  fof(c_0_2, axiom, (![X1]:![X2]:![X3]:![X4]:(((group_member(X2,X1)&group_member(X3,X1))&group_member(X4,X1))=>multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4)))), c_0_0).
% 0.04/1.14  fof(c_0_3, axiom, (![X1]:![X2]:![X3]:((group_member(X2,X1)&group_member(X3,X1))=>group_member(multiply(X1,X2,X3),X1))), c_0_1).
% 0.04/1.14  fof(c_0_4, plain, (![X5]:![X6]:![X7]:![X8]:(((~group_member(X6,X5)|~group_member(X7,X5))|~group_member(X8,X5))|multiply(X5,multiply(X5,X6,X7),X8)=multiply(X5,X6,multiply(X5,X7,X8)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])).
% 0.04/1.14  fof(c_0_5, plain, (![X4]:![X5]:![X6]:((~group_member(X5,X4)|~group_member(X6,X4))|group_member(multiply(X4,X5,X6),X4))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])).
% 0.04/1.14  cnf(c_0_6,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_4])).
% 0.04/1.14  cnf(c_0_7,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_5])).
% 0.04/1.14  cnf(c_0_8,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_6).
% 0.04/1.14  cnf(c_0_9,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_7).
% 0.04/1.14  cnf(c_0_10,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_8).
% 0.04/1.14  cnf(c_0_11,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_9).
% 0.04/1.14  cnf(c_0_12,plain,(multiply(X1,multiply(X1,X2,X3),X4)=multiply(X1,X2,multiply(X1,X3,X4))|~group_member(X4,X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_10, ['final']).
% 0.04/1.14  cnf(c_0_13,plain,(group_member(multiply(X1,X2,X3),X1)|~group_member(X3,X1)|~group_member(X2,X1)), c_0_11, ['final']).
% 0.04/1.14  # SZS output end Saturation.
% 0.04/1.14  # Parsed axioms                        : 2
% 0.04/1.14  # Removed by relevancy pruning/SinE    : 0
% 0.04/1.14  # Initial clauses                      : 2
% 0.04/1.14  # Removed in clause preprocessing      : 0
% 0.04/1.14  # Initial clauses in saturation        : 2
% 0.04/1.14  # Processed clauses                    : 4
% 0.04/1.14  # ...of these trivial                  : 0
% 0.04/1.14  # ...subsumed                          : 0
% 0.04/1.14  # ...remaining for further processing  : 4
% 0.04/1.14  # Other redundant clauses eliminated   : 0
% 0.04/1.14  # Clauses deleted for lack of memory   : 0
% 0.04/1.14  # Backward-subsumed                    : 0
% 0.04/1.14  # Backward-rewritten                   : 0
% 0.04/1.14  # Generated clauses                    : 0
% 0.04/1.14  # ...of the previous two non-trivial   : 0
% 0.04/1.14  # Contextual simplify-reflections      : 0
% 0.04/1.14  # Paramodulations                      : 0
% 0.04/1.14  # Factorizations                       : 0
% 0.04/1.14  # Equation resolutions                 : 0
% 0.04/1.14  # Current number of processed clauses  : 2
% 0.04/1.14  #    Positive orientable unit clauses  : 0
% 0.04/1.14  #    Positive unorientable unit clauses: 0
% 0.04/1.14  #    Negative unit clauses             : 0
% 0.04/1.14  #    Non-unit-clauses                  : 2
% 0.04/1.14  # Current number of unprocessed clauses: 0
% 0.04/1.14  # ...number of literals in the above   : 0
% 0.04/1.14  # Clause-clause subsumption calls (NU) : 6
% 0.04/1.14  # Rec. Clause-clause subsumption calls : 6
% 0.04/1.14  # Non-unit clause-clause subsumptions  : 0
% 0.04/1.14  # Unit Clause-clause subsumption calls : 0
% 0.04/1.14  # Rewrite failures with RHS unbound    : 0
% 0.04/1.14  # BW rewrite match attempts            : 0
% 0.04/1.14  # BW rewrite match successes           : 0
% 0.04/1.14  # Condensation attempts                : 0
% 0.04/1.14  # Condensation successes               : 0
% 0.04/1.14  
% 0.04/1.14  # -------------------------------------------------
% 0.04/1.14  # User time                : 0.006 s
% 0.04/1.14  # System time              : 0.000 s
% 0.04/1.14  # Total time               : 0.006 s
% 0.04/1.14  # Maximum resident set size: 2448 pages
% 0.04/1.14  
% 0.04/1.14  # -------------------------------------------------
% 0.04/1.14  # User time                : 0.029 s
% 0.04/1.14  # System time              : 0.003 s
% 0.04/1.14  # Total time               : 0.032 s
% 0.04/1.14  # Maximum resident set size: 4008 pages
% 0.04/1.14  0.02user 0.00system 0:00.03elapsed 91%CPU (0avgtext+0avgdata 16032maxresident)k
% 0.04/1.14  0inputs+936outputs (0major+2891minor)pagefaults 0swaps
%------------------------------------------------------------------------------