TSTP Solution File: KRS267+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n032.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 02:56:15 EDT 2022

% Result   : Theorem 7.37s 2.12s
% Output   : CNFRefutation 7.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  12 unt;   0 def)
%            Number of atoms       :   62 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   66 (  30   ~;  24   |;   8   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            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   :   57 (   5 sgn  29   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mighta_tca_thm,conjecture,
    mighta(tca,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_tca_thm) ).

fof(mighta,axiom,
    ! [X7,X8] :
      ( ? [X1,X2] :
          ( status(X1,X2,X7)
          & status(X1,X2,X8) )
    <=> mighta(X7,X8) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',mighta) ).

fof(tca,axiom,
    ! [X1,X2] :
      ( ( ~ ? [X3] : model(X3,X1)
        & ! [X4] : model(X4,X2) )
    <=> status(X1,X2,tca) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',tca) ).

fof(thm,axiom,
    ! [X1,X2] :
      ( ! [X3] :
          ( model(X3,X1)
         => model(X3,X2) )
    <=> status(X1,X2,thm) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',thm) ).

fof(tautology,axiom,
    ? [X10] :
    ! [X9] : model(X9,X10),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',tautology) ).

fof(contradiction,axiom,
    ? [X10] :
    ! [X9] : ~ model(X9,X10),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',contradiction) ).

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

fof(c_0_7,negated_conjecture,
    ~ mighta(tca,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(tca,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,
    ! [X133,X134,X137,X138,X139,X140] :
      ( ( model(esk33_2(X133,X134),X133)
        | ~ model(esk34_2(X133,X134),X134)
        | status(X133,X134,tca) )
      & ( ~ model(X139,X137)
        | ~ status(X137,X138,tca) )
      & ( model(X140,X138)
        | ~ status(X137,X138,tca) ) ),
    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)],[tca])])])])])]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ status(X1,X2,thm)
    | ~ status(X1,X2,tca) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( model(esk33_2(X1,X2),X1)
    | status(X1,X2,tca)
    | ~ model(esk34_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_14,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_15,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,tca) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    ( model(esk33_2(X1,X2),X1)
    | ~ status(X1,X2,thm)
    | ~ model(esk34_2(X1,X2),X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( model(esk10_2(X1,X2),X1)
    | status(X1,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,plain,
    ( model(esk33_2(X1,X2),X1)
    | ~ model(esk34_2(X1,X2),X2)
    | ~ model(X3,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_13]) ).

fof(c_0_19,plain,
    ! [X220] : model(X220,esk53_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[tautology])]) ).

fof(c_0_20,plain,
    ! [X225] : ~ model(X225,esk57_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[contradiction])])]) ).

cnf(c_0_21,negated_conjecture,
    ( model(esk33_2(X1,X2),X1)
    | ~ model(esk34_2(X1,X2),X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).

cnf(c_0_22,plain,
    model(X1,esk53_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ~ model(X1,esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    model(esk33_2(X1,esk53_0),X1),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_23,c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07  % Problem  : KRS267+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.04/0.08  % Command  : enigmatic-eprover.py %s %d 1
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Tue Jun  7 08:51:22 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.10/0.32  # ENIGMATIC: Selected SinE mode:
% 0.10/0.32  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.10/0.32  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.10/0.32  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 7.37/2.12  # ENIGMATIC: Solved by autoschedule:
% 7.37/2.12  # No SInE strategy applied
% 7.37/2.12  # Trying AutoSched0 for 150 seconds
% 7.37/2.12  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 7.37/2.12  # and selection function SelectMaxLComplexAvoidPosPred.
% 7.37/2.12  #
% 7.37/2.12  # Preprocessing time       : 0.019 s
% 7.37/2.12  # Presaturation interreduction done
% 7.37/2.12  
% 7.37/2.12  # Proof found!
% 7.37/2.12  # SZS status Theorem
% 7.37/2.12  # SZS output start CNFRefutation
% See solution above
% 7.37/2.12  # Training examples: 0 positive, 0 negative
% 7.37/2.12  
% 7.37/2.12  # -------------------------------------------------
% 7.37/2.12  # User time                : 0.064 s
% 7.37/2.12  # System time              : 0.006 s
% 7.37/2.12  # Total time               : 0.070 s
% 7.37/2.12  # Maximum resident set size: 7120 pages
% 7.37/2.12  
%------------------------------------------------------------------------------