TSTP Solution File: KRS268+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : KRS268+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 02:56:16 EDT 2022

% Result   : Theorem 6.86s 2.16s
% Output   : CNFRefutation 6.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  12 unt;   0 def)
%            Number of atoms       :   70 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   76 (  33   ~;  25   |;  14   &)
%                                         (   3 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   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   :   62 (  11 sgn  27   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(mighta_wca_thm,conjecture,
    mighta(wca,thm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wca_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(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(wca,axiom,
    ! [X1,X2] :
      ( ( ~ ? [X3] : model(X3,X1)
        & ? [X4] : model(X4,X2)
        & ? [X5] : ~ model(X5,X2) )
    <=> status(X1,X2,wca) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+0.ax',wca) ).

fof(non_thm_spt,axiom,
    ? [X3,X1,X2] :
      ( model(X3,X1)
      & ~ model(X3,X2)
      & ? [X4] : model(X4,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/KRS001+1.ax',non_thm_spt) ).

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(wca,thm),
    inference(assume_negation,[status(cth)],[mighta_wca_thm]) ).

fof(c_0_7,negated_conjecture,
    ~ mighta(wca,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(wca,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])])])])])]) ).

fof(c_0_12,plain,
    ! [X141,X142,X144,X145,X146,X147,X148] :
      ( ( model(esk35_2(X141,X142),X141)
        | ~ model(X144,X142)
        | model(X145,X142)
        | status(X141,X142,wca) )
      & ( ~ model(X148,X146)
        | ~ status(X146,X147,wca) )
      & ( model(esk36_2(X146,X147),X147)
        | ~ status(X146,X147,wca) )
      & ( ~ model(esk37_2(X146,X147),X147)
        | ~ status(X146,X147,wca) ) ),
    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)],[wca])])])])])])]) ).

cnf(c_0_13,negated_conjecture,
    ( ~ status(X1,X2,thm)
    | ~ status(X1,X2,wca) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_14,plain,
    ( model(esk10_2(X1,X2),X1)
    | status(X1,X2,thm) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    ( ~ model(X1,X2)
    | ~ status(X2,X3,wca) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    ~ status(X1,X2,wca),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_17,plain,
    ( model(esk35_2(X1,X2),X1)
    | model(X4,X2)
    | status(X1,X2,wca)
    | ~ model(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_18,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])])]) ).

fof(c_0_19,plain,
    ! [X225] : ~ model(X225,esk57_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[contradiction])])]) ).

cnf(c_0_20,negated_conjecture,
    ( model(esk35_2(X1,X2),X1)
    | model(X3,X2)
    | ~ model(X4,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_21,plain,
    model(esk70_0,esk69_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_22,plain,
    ~ model(X1,esk57_0),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,negated_conjecture,
    ( model(esk35_2(X1,esk69_0),X1)
    | model(X2,esk69_0) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,plain,
    ~ model(esk67_0,esk69_0),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_25,negated_conjecture,
    model(X1,esk69_0),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.09/0.09  % Command  : enigmatic-eprover.py %s %d 1
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 600
% 0.09/0.28  % DateTime : Tue Jun  7 08:16:07 EDT 2022
% 0.09/0.28  % CPUTime  : 
% 0.13/0.37  # ENIGMATIC: Selected SinE mode:
% 0.13/0.37  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.13/0.37  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.13/0.37  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 6.86/2.16  # ENIGMATIC: Solved by autoschedule:
% 6.86/2.16  # No SInE strategy applied
% 6.86/2.16  # Trying AutoSched0 for 150 seconds
% 6.86/2.16  # AutoSched0-Mode selected heuristic G_E___107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YA
% 6.86/2.16  # and selection function SelectMaxLComplexAvoidPosPred.
% 6.86/2.16  #
% 6.86/2.16  # Preprocessing time       : 0.017 s
% 6.86/2.16  # Presaturation interreduction done
% 6.86/2.16  
% 6.86/2.16  # Proof found!
% 6.86/2.16  # SZS status Theorem
% 6.86/2.16  # SZS output start CNFRefutation
% See solution above
% 6.86/2.16  # Training examples: 0 positive, 0 negative
% 6.86/2.16  
% 6.86/2.16  # -------------------------------------------------
% 6.86/2.16  # User time                : 0.021 s
% 6.86/2.16  # System time              : 0.006 s
% 6.86/2.16  # Total time               : 0.026 s
% 6.86/2.16  # Maximum resident set size: 7120 pages
% 6.86/2.16  
%------------------------------------------------------------------------------