TSTP Solution File: KRS189+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n021.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 : Sun Jul 17 02:56:03 EDT 2022

% Result   : Theorem 8.06s 2.44s
% Output   : CNFRefutation 8.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (   9 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :   74 (  28   ~;  29   |;  11   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   2 con; 0-2 aty)
%            Number of variables   :   43 (   0 sgn  29   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(isa_eth_thm,conjecture,
    isa(eth,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',isa_eth_thm) ).

fof(isa,axiom,
    ! [X7,X8] :
      ( ! [X1,X2] :
          ( status(X1,X2,X7)
         => status(X1,X2,X8) )
    <=> isa(X7,X8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',isa) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',thm) ).

fof(eth,axiom,
    ! [X1,X2] :
      ( ( ? [X3] : model(X3,X1)
        & ? [X4] : ~ model(X4,X1)
        & ! [X5] :
            ( model(X5,X1)
          <=> model(X5,X2) ) )
    <=> status(X1,X2,eth) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',eth) ).

fof(c_0_4,negated_conjecture,
    ~ isa(eth,thm),
    inference(assume_negation,[status(cth)],[isa_eth_thm]) ).

fof(c_0_5,negated_conjecture,
    ~ isa(eth,thm),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_6,plain,
    ! [X181,X182,X185,X186,X187,X188] :
      ( ( status(esk45_2(X181,X182),esk46_2(X181,X182),X181)
        | isa(X181,X182) )
      & ( ~ status(esk45_2(X181,X182),esk46_2(X181,X182),X182)
        | isa(X181,X182) )
      & ( ~ isa(X185,X186)
        | ~ status(X187,X188,X185)
        | status(X187,X188,X186) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[isa])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ isa(eth,thm),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( isa(X1,X2)
    | ~ status(esk45_2(X1,X2),esk46_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X45,X46,X48,X49,X50] :
      ( ( model(esk10_2(X45,X46),X45)
        | status(X45,X46,thm) )
      & ( ~ model(esk10_2(X45,X46),X46)
        | status(X45,X46,thm) )
      & ( ~ status(X48,X49,thm)
        | ~ model(X50,X48)
        | model(X50,X49) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[thm])])])])])]) ).

fof(c_0_10,plain,
    ! [X78,X79,X80,X81,X83,X84,X87,X88] :
      ( ( ~ model(esk18_2(X78,X79),X78)
        | ~ model(esk18_2(X78,X79),X79)
        | ~ model(X80,X78)
        | model(X81,X78)
        | status(X78,X79,eth) )
      & ( model(esk18_2(X78,X79),X78)
        | model(esk18_2(X78,X79),X79)
        | ~ model(X80,X78)
        | model(X81,X78)
        | status(X78,X79,eth) )
      & ( model(esk19_2(X83,X84),X83)
        | ~ status(X83,X84,eth) )
      & ( ~ model(esk20_2(X83,X84),X83)
        | ~ status(X83,X84,eth) )
      & ( ~ model(X87,X83)
        | model(X87,X84)
        | ~ status(X83,X84,eth) )
      & ( ~ model(X88,X84)
        | model(X88,X83)
        | ~ status(X83,X84,eth) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[eth])])])])])])]) ).

cnf(c_0_11,plain,
    ( status(esk45_2(X1,X2),esk46_2(X1,X2),X1)
    | isa(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ~ status(esk45_2(eth,thm),esk46_2(eth,thm),thm),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_13,plain,
    ( status(X1,X2,thm)
    | ~ model(esk10_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_14,plain,
    ( model(X1,X3)
    | ~ model(X1,X2)
    | ~ status(X2,X3,eth) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    status(esk45_2(eth,thm),esk46_2(eth,thm),eth),
    inference(spm,[status(thm)],[c_0_7,c_0_11]) ).

cnf(c_0_16,plain,
    ( model(esk10_2(X1,X2),X1)
    | status(X1,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,negated_conjecture,
    ~ model(esk10_2(esk45_2(eth,thm),esk46_2(eth,thm)),esk46_2(eth,thm)),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_18,negated_conjecture,
    ( model(X1,esk46_2(eth,thm))
    | ~ model(X1,esk45_2(eth,thm)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    model(esk10_2(esk45_2(eth,thm),esk46_2(eth,thm)),esk45_2(eth,thm)),
    inference(spm,[status(thm)],[c_0_12,c_0_16]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : KRS189+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.33  % Computer : n021.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Tue Jun  7 17:55:23 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.06/2.44  # ENIGMATIC: Solved by autoschedule:
% 8.06/2.44  # No SInE strategy applied
% 8.06/2.44  # Trying AutoSched0 for 150 seconds
% 8.06/2.44  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 8.06/2.44  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.06/2.44  #
% 8.06/2.44  # Preprocessing time       : 0.018 s
% 8.06/2.44  # Presaturation interreduction done
% 8.06/2.44  
% 8.06/2.44  # Proof found!
% 8.06/2.44  # SZS status Theorem
% 8.06/2.44  # SZS output start CNFRefutation
% See solution above
% 8.06/2.44  # Training examples: 0 positive, 0 negative
% 8.06/2.44  
% 8.06/2.44  # -------------------------------------------------
% 8.06/2.44  # User time                : 0.031 s
% 8.06/2.44  # System time              : 0.003 s
% 8.06/2.44  # Total time               : 0.034 s
% 8.06/2.44  # Maximum resident set size: 7120 pages
% 8.06/2.44  
%------------------------------------------------------------------------------