TSTP Solution File: KRS215+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n020.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 02:56:07 EDT 2022

% Result   : Theorem 8.14s 2.51s
% Output   : CNFRefutation 8.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (  11 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   78 (  33   ~;  31   |;   9   &)
%                                         (   3 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   66 (   4 sgn  31   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(nota_csa_thm,conjecture,
    nota(csa,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_csa_thm) ).

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

fof(csa,axiom,
    ! [X1,X2] :
      ( ? [X3] :
          ( model(X3,X1)
          & model(X3,not(X2)) )
    <=> status(X1,X2,csa) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+0.ax',csa) ).

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(completeness,axiom,
    ! [X9,X10] :
      ( model(X9,X10)
    <~> model(X9,not(X10)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',completeness) ).

fof(tautology,axiom,
    ? [X10] :
    ! [X9] : model(X9,X10),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',tautology) ).

fof(contradiction,axiom,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',contradiction) ).

fof(c_0_7,negated_conjecture,
    ~ nota(csa,thm),
    inference(assume_negation,[status(cth)],[nota_csa_thm]) ).

fof(c_0_8,negated_conjecture,
    ~ nota(csa,thm),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_9,plain,
    ! [X189,X190,X191,X192,X193,X194] :
      ( ( ~ status(X191,X192,X189)
        | status(X191,X192,X190)
        | nota(X189,X190) )
      & ( status(esk47_2(X193,X194),esk48_2(X193,X194),X193)
        | ~ nota(X193,X194) )
      & ( ~ status(esk47_2(X193,X194),esk48_2(X193,X194),X194)
        | ~ nota(X193,X194) ) ),
    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)],[nota])])])])])])]) ).

cnf(c_0_10,negated_conjecture,
    ~ nota(csa,thm),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( status(X1,X2,X4)
    | nota(X3,X4)
    | ~ status(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X151,X152,X153,X154,X155] :
      ( ( ~ model(X153,X151)
        | ~ model(X153,not(X152))
        | status(X151,X152,csa) )
      & ( model(esk38_2(X154,X155),X154)
        | ~ status(X154,X155,csa) )
      & ( model(esk38_2(X154,X155),not(X155))
        | ~ status(X154,X155,csa) ) ),
    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)],[csa])])])])])]) ).

fof(c_0_13,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])])])])])]) ).

cnf(c_0_14,negated_conjecture,
    ( status(X1,X2,thm)
    | ~ status(X1,X2,csa) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_15,plain,
    ( status(X2,X3,csa)
    | ~ model(X1,X2)
    | ~ model(X1,not(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,plain,
    ( model(X3,X2)
    | ~ status(X1,X2,thm)
    | ~ model(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    ( status(X1,X2,thm)
    | ~ model(X3,not(X2))
    | ~ model(X3,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

fof(c_0_18,plain,
    ! [X215,X216] :
      ( ( ~ model(X215,X216)
        | ~ model(X215,not(X216)) )
      & ( model(X215,X216)
        | model(X215,not(X216)) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[completeness])])]) ).

cnf(c_0_19,negated_conjecture,
    ( model(X1,X2)
    | ~ model(X3,not(X2))
    | ~ model(X1,X4)
    | ~ model(X3,X4) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    ( model(X1,X2)
    | model(X1,not(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

fof(c_0_21,plain,
    ! [X220] : model(X220,esk53_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).

fof(c_0_22,plain,
    ! [X225] : ~ model(X225,esk57_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[contradiction])])]) ).

cnf(c_0_23,negated_conjecture,
    ( model(X1,X2)
    | model(X3,X2)
    | ~ model(X3,X4)
    | ~ model(X1,X4) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    model(X1,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    ~ model(X1,esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( model(X1,X2)
    | model(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_24])]) ).

cnf(c_0_27,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Tue Jun  7 17:32:23 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.17/0.43  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.17/0.43  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.17/0.43  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.14/2.51  # ENIGMATIC: Solved by autoschedule:
% 8.14/2.51  # No SInE strategy applied
% 8.14/2.51  # Trying AutoSched0 for 150 seconds
% 8.14/2.51  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 8.14/2.51  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.14/2.51  #
% 8.14/2.51  # Preprocessing time       : 0.018 s
% 8.14/2.51  # Presaturation interreduction done
% 8.14/2.51  
% 8.14/2.51  # Proof found!
% 8.14/2.51  # SZS status Theorem
% 8.14/2.51  # SZS output start CNFRefutation
% See solution above
% 8.14/2.51  # Training examples: 0 positive, 0 negative
% 8.14/2.51  
% 8.14/2.51  # -------------------------------------------------
% 8.14/2.51  # User time                : 0.025 s
% 8.14/2.51  # System time              : 0.009 s
% 8.14/2.51  # Total time               : 0.033 s
% 8.14/2.51  # Maximum resident set size: 7124 pages
% 8.14/2.51  
%------------------------------------------------------------------------------