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Enigma---0.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SEV646+1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n024.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 : Tue May  5 06:51:37 PM UTC 2026

% Result   : Theorem 87.03s 78.10s
% Output   : CNFRefutation 87.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  14 unt;   0 def)
%            Number of atoms       :   49 (   3 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   41 (  15   ~;  11   |;   4   &)
%                                         (   1 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-3 aty)
%            Number of variables   :   27 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof('_HAMMER_GOAL',conjecture,
    ! [X49] :
      ( cIntMap_2eFset_2eFSet___24t(X49)
     => ! [X50] :
          ( cIntMap_2eFset_2eFSet___24t(X50)
         => ! [X2820] :
              ( cIntMap_2eFset_2eFSet___24t(X2820)
             => cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X49,X50),X2820),cIntMap_2eFset_2eFSetUnion___24a2(X49,cIntMap_2eFset_2eFSetUnion___24a2(X50,X2820))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','_HAMMER_GOAL') ).

fof('$_def_IntMap.Fset.FSetUnion',axiom,
    ! [X49,X50] : cIntMap_2eFset_2eFSetUnion___24a2(X49,X50) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X49,X50),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSetUnion') ).

fof('$_def_IntMap.Fset.FSet',axiom,
    ! [X465] :
      ( cIntMap_2eFset_2eFSet___24t(X465)
    <=> cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X465) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_def_IntMap.Fset.FSet') ).

fof('Mapaxioms.MapMerge_assoc',axiom,
    ! [X39] :
      ( cType___24t(X39)
     => ! [X64] :
          ( cIntMap_2eMap_2eMap___24t(X39,X64)
         => ! [X65] :
              ( cIntMap_2eMap_2eMap___24t(X39,X65)
             => ! [X2835] :
                  ( cIntMap_2eMap_2eMap___24t(X39,X2835)
                 => cMapaxioms_2eeqmap___24a3(X39,cIntMap_2eMap_2eMapMerge___24a3(X39,cIntMap_2eMap_2eMapMerge___24a3(X39,X64,X65),X2835),cIntMap_2eMap_2eMapMerge___24a3(X39,X64,cIntMap_2eMap_2eMapMerge___24a3(X39,X65,X2835))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','Mapaxioms.MapMerge_assoc') ).

fof('$_typeof_Coq.Init.Datatypes.unit',axiom,
    cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p','$_typeof_Coq.Init.Datatypes.unit') ).

fof(c_0_5,negated_conjecture,
    ~ ! [X49] :
        ( cIntMap_2eFset_2eFSet___24t(X49)
       => ! [X50] :
            ( cIntMap_2eFset_2eFSet___24t(X50)
           => ! [X2820] :
                ( cIntMap_2eFset_2eFSet___24t(X2820)
               => cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(X49,X50),X2820),cIntMap_2eFset_2eFSetUnion___24a2(X49,cIntMap_2eFset_2eFSetUnion___24a2(X50,X2820))) ) ) ),
    inference(assume_negation,[status(cth)],['_HAMMER_GOAL']) ).

fof(c_0_6,negated_conjecture,
    ( cIntMap_2eFset_2eFSet___24t(esk1_0)
    & cIntMap_2eFset_2eFSet___24t(esk2_0)
    & cIntMap_2eFset_2eFSet___24t(esk3_0)
    & ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,esk2_0),esk3_0),cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,cIntMap_2eFset_2eFSetUnion___24a2(esk2_0,esk3_0))) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).

fof(c_0_7,plain,
    ! [X2874,X2875] : cIntMap_2eFset_2eFSetUnion___24a2(X2874,X2875) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X2874,X2875),
    inference(variable_rename,[status(thm)],['$_def_IntMap.Fset.FSetUnion']) ).

fof(c_0_8,plain,
    ! [X2881] :
      ( ( ~ cIntMap_2eFset_2eFSet___24t(X2881)
        | cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X2881) )
      & ( ~ cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X2881)
        | cIntMap_2eFset_2eFSet___24t(X2881) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['$_def_IntMap.Fset.FSet'])]) ).

cnf(c_0_9,negated_conjecture,
    ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eFset_2eFSetUnion___24a2(cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,esk2_0),esk3_0),cIntMap_2eFset_2eFSetUnion___24a2(esk1_0,cIntMap_2eFset_2eFSetUnion___24a2(esk2_0,esk3_0))),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    cIntMap_2eFset_2eFSetUnion___24a2(X1,X2) = cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_11,plain,
    ! [X2912,X2913,X2914,X2915] :
      ( ~ cType___24t(X2912)
      | ~ cIntMap_2eMap_2eMap___24t(X2912,X2913)
      | ~ cIntMap_2eMap_2eMap___24t(X2912,X2914)
      | ~ cIntMap_2eMap_2eMap___24t(X2912,X2915)
      | cMapaxioms_2eeqmap___24a3(X2912,cIntMap_2eMap_2eMapMerge___24a3(X2912,cIntMap_2eMap_2eMapMerge___24a3(X2912,X2913,X2914),X2915),cIntMap_2eMap_2eMapMerge___24a3(X2912,X2913,cIntMap_2eMap_2eMapMerge___24a3(X2912,X2914,X2915))) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],['Mapaxioms.MapMerge_assoc'])])]) ).

cnf(c_0_12,plain,
    ( cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,X1)
    | ~ cIntMap_2eFset_2eFSet___24t(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,negated_conjecture,
    cIntMap_2eFset_2eFSet___24t(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_14,negated_conjecture,
    cIntMap_2eFset_2eFSet___24t(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_15,negated_conjecture,
    cIntMap_2eFset_2eFSet___24t(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,negated_conjecture,
    ~ cMapaxioms_2eeqmap___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk1_0,esk2_0),esk3_0),cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk1_0,cIntMap_2eMap_2eMapMerge___24a3(cCoq_2eInit_2eDatatypes_2eunit,esk2_0,esk3_0))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_17,plain,
    ( cMapaxioms_2eeqmap___24a3(X1,cIntMap_2eMap_2eMapMerge___24a3(X1,cIntMap_2eMap_2eMapMerge___24a3(X1,X2,X3),X4),cIntMap_2eMap_2eMapMerge___24a3(X1,X2,cIntMap_2eMap_2eMapMerge___24a3(X1,X3,X4)))
    | ~ cType___24t(X1)
    | ~ cIntMap_2eMap_2eMap___24t(X1,X2)
    | ~ cIntMap_2eMap_2eMap___24t(X1,X3)
    | ~ cIntMap_2eMap_2eMap___24t(X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_18,negated_conjecture,
    cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk3_0),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,negated_conjecture,
    cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk2_0),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    cIntMap_2eMap_2eMap___24t(cCoq_2eInit_2eDatatypes_2eunit,esk1_0),
    inference(spm,[status(thm)],[c_0_12,c_0_15]) ).

cnf(c_0_21,plain,
    cType___24t(cCoq_2eInit_2eDatatypes_2eunit),
    inference(split_conjunct,[status(thm)],['$_typeof_Coq.Init.Datatypes.unit']) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06  % Problem  : SEV646+1 : TPTP v9.3.0. Released v9.3.0.
% 0.00/0.06  % Command  : enigmatic-eprover.py %s %d 1
% 0.07/0.24  % Computer : n024.cluster.edu
% 0.07/0.24  % Model    : x86_64 x86_64
% 0.07/0.24  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24  % Memory   : 8042.1875MB
% 0.07/0.24  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24  % CPULimit : 300
% 0.07/0.24  % WCLimit  : 300
% 0.07/0.24  % DateTime : Tue May  5 02:08:28 EDT 2026
% 0.07/0.24  % CPUTime  : 
% 0.07/0.32  # ENIGMATIC: Selected SinE mode:
% 0.14/0.40  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.40  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.14/0.40  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.14/0.40  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 82.87/77.46  Traceback (most recent call last):
% 82.87/77.46    File "./select.py", line 11, in <module>
% 82.87/77.46      pred = float(parts[0])
% 82.87/77.46  ValueError: could not convert string to float: 'cnf(i_0_999,'
% 87.03/78.10  # ENIGMATIC: Solved by autoschedule:
% 87.03/78.10  # SinE strategy is gf120_h_gu_RUU_F100_L00500
% 87.03/78.10  # Trying AutoSched0 for 112 seconds
% 87.03/78.10  # AutoSched0-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 87.03/78.10  # and selection function SelectComplexExceptUniqMaxHorn.
% 87.03/78.10  #
% 87.03/78.10  # Preprocessing time       : 0.032 s
% 87.03/78.10  # Presaturation interreduction done
% 87.03/78.10  
% 87.03/78.10  # Proof found!
% 87.03/78.10  # SZS status Theorem
% 87.03/78.10  # SZS output start CNFRefutation
% See solution above
% 87.03/78.10  # Training examples: 0 positive, 0 negative
% 87.03/78.10  
% 87.03/78.10  # -------------------------------------------------
% 87.03/78.10  # User time                : 0.142 s
% 87.03/78.10  # System time              : 0.019 s
% 87.03/78.10  # Total time               : 0.161 s
% 87.03/78.10  # Maximum resident set size: 14836 pages
% 87.03/78.10  
%------------------------------------------------------------------------------