TSTP Solution File: KRS260+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS260+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n018.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 02:56:14 EDT 2022

% Result   : Theorem 8.11s 2.54s
% Output   : CNFRefutation 8.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  11 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :   97 (  40   ~;  35   |;  17   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   60 (   6 sgn  28   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mighta_wec_thm,conjecture,
    mighta(wec,thm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wec_thm) ).

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

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

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

fof(non_thm_spt,axiom,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).

fof(c_0_6,negated_conjecture,
    ~ mighta(wec,thm),
    inference(assume_negation,[status(cth)],[mighta_wec_thm]) ).

fof(c_0_7,negated_conjecture,
    ~ mighta(wec,thm),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_8,plain,
    ! [X173,X174,X175,X176,X177,X178] :
      ( ( ~ status(X175,X176,X173)
        | ~ status(X175,X176,X174)
        | mighta(X173,X174) )
      & ( status(esk43_2(X177,X178),esk44_2(X177,X178),X177)
        | ~ mighta(X177,X178) )
      & ( status(esk43_2(X177,X178),esk44_2(X177,X178),X178)
        | ~ mighta(X177,X178) ) ),
    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)],[mighta])])])])])]) ).

cnf(c_0_9,negated_conjecture,
    ~ mighta(wec,thm),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( mighta(X3,X4)
    | ~ status(X1,X2,X3)
    | ~ status(X1,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,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_12,negated_conjecture,
    ( ~ status(X1,X2,thm)
    | ~ status(X1,X2,wec) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( status(X1,X2,thm)
    | ~ model(esk10_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,plain,
    ! [X68,X69,X70,X72,X73,X74,X76] :
      ( ( model(esk15_2(X68,X69),X68)
        | ~ model(X70,X68)
        | ~ model(X72,X69)
        | model(X72,X68)
        | status(X68,X69,wec) )
      & ( ~ model(esk15_2(X68,X69),X69)
        | ~ model(X70,X68)
        | ~ model(X72,X69)
        | model(X72,X68)
        | status(X68,X69,wec) )
      & ( model(esk16_2(X73,X74),X73)
        | ~ status(X73,X74,wec) )
      & ( ~ model(X76,X73)
        | model(X76,X74)
        | ~ status(X73,X74,wec) )
      & ( model(esk17_2(X73,X74),X74)
        | ~ status(X73,X74,wec) )
      & ( ~ model(esk17_2(X73,X74),X73)
        | ~ status(X73,X74,wec) ) ),
    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)],[wec])])])])])])]) ).

cnf(c_0_15,negated_conjecture,
    ( ~ status(X1,X2,wec)
    | ~ model(esk10_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,plain,
    ( model(X4,X1)
    | status(X1,X2,wec)
    | ~ model(esk15_2(X1,X2),X2)
    | ~ model(X3,X1)
    | ~ model(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X220] : model(X220,esk53_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).

cnf(c_0_18,negated_conjecture,
    ( model(X1,X2)
    | ~ model(esk10_2(X2,X3),X3)
    | ~ model(esk15_2(X2,X3),X3)
    | ~ model(X1,X3)
    | ~ model(X4,X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,plain,
    model(X1,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_20,plain,
    ( model(esk67_0,esk68_0)
    & ~ model(esk67_0,esk69_0)
    & model(esk70_0,esk69_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[non_thm_spt])])]) ).

cnf(c_0_21,negated_conjecture,
    ( model(X1,X2)
    | ~ model(X3,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_19]),c_0_19])]) ).

cnf(c_0_22,plain,
    model(esk70_0,esk69_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_23,plain,
    ~ model(esk67_0,esk69_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    model(X1,esk69_0),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : KRS260+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Tue Jun  7 14:40:37 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 0.19/0.45  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.19/0.45  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.19/0.45  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 8.11/2.54  # ENIGMATIC: Solved by autoschedule:
% 8.11/2.54  # No SInE strategy applied
% 8.11/2.54  # Trying AutoSched0 for 150 seconds
% 8.11/2.54  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 8.11/2.54  # and selection function SelectMaxLComplexAvoidPosPred.
% 8.11/2.54  #
% 8.11/2.54  # Preprocessing time       : 0.018 s
% 8.11/2.54  # Presaturation interreduction done
% 8.11/2.54  
% 8.11/2.54  # Proof found!
% 8.11/2.54  # SZS status Theorem
% 8.11/2.54  # SZS output start CNFRefutation
% See solution above
% 8.11/2.54  # Training examples: 0 positive, 0 negative
% 8.11/2.54  
% 8.11/2.54  # -------------------------------------------------
% 8.11/2.54  # User time                : 0.079 s
% 8.11/2.54  # System time              : 0.010 s
% 8.11/2.54  # Total time               : 0.088 s
% 8.11/2.54  # Maximum resident set size: 7120 pages
% 8.11/2.54  
%------------------------------------------------------------------------------