TSTP Solution File: CSR109+7 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR109+7 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n019.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 : Fri Jul 15 02:48:06 EDT 2022

% Result   : Theorem 22.74s 6.61s
% Output   : CNFRefutation 22.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  12 unt;   0 def)
%            Number of atoms       :   85 (  16 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  100 (  36   ~;  42   |;  18   &)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   44 (  16 sgn  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO_MILO,conjecture,
    ? [X2351] : s__instance(X2351,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(kb_SUMO_32603,axiom,
    ! [X137,X12,X136] :
      ( X12 = s__UnionFn(X136,X137)
    <=> ! [X1138,X34,X1139] :
          ( ( s__instance(X136,s__SetOrClass)
            & s__instance(X12,s__SetOrClass)
            & s__instance(X137,s__SetOrClass) )
         => ( ( s__instance(X1138,X136)
              & s__instance(X34,X137)
              & s__instance(X1139,X12) )
           => ( s__instance(X1138,X12)
              & s__instance(X34,X12)
              & ( s__instance(X1139,X136)
                | s__instance(X1139,X137) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32603) ).

fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(kb_SUMO_39530,axiom,
    s__subclass(s__Snake,s__Reptile),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_39530) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X2351] : s__instance(X2351,s__Reptile),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

fof(c_0_5,negated_conjecture,
    ! [X2352] : ~ s__instance(X2352,s__Reptile),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])]) ).

fof(c_0_6,plain,
    ! [X2501,X2502,X2503,X2504,X2505,X2506,X2507,X2508,X2509] :
      ( ( s__instance(X2504,X2502)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2505,X2502)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2506,X2503)
        | s__instance(X2506,X2501)
        | ~ s__instance(X2504,X2503)
        | ~ s__instance(X2505,X2501)
        | ~ s__instance(X2506,X2502)
        | ~ s__instance(X2503,s__SetOrClass)
        | ~ s__instance(X2502,s__SetOrClass)
        | ~ s__instance(X2501,s__SetOrClass)
        | X2502 != s__UnionFn(X2503,X2501) )
      & ( s__instance(X2509,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(X2508,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(X2507,s__SetOrClass)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk6_3(X2507,X2508,X2509),X2509)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk7_3(X2507,X2508,X2509),X2507)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( s__instance(esk8_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( ~ s__instance(esk8_3(X2507,X2508,X2509),X2509)
        | ~ s__instance(esk6_3(X2507,X2508,X2509),X2508)
        | ~ s__instance(esk7_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) )
      & ( ~ s__instance(esk8_3(X2507,X2508,X2509),X2507)
        | ~ s__instance(esk6_3(X2507,X2508,X2509),X2508)
        | ~ s__instance(esk7_3(X2507,X2508,X2509),X2508)
        | X2508 = s__UnionFn(X2509,X2507) ) ),
    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)],[kb_SUMO_32603])])])])])]) ).

cnf(c_0_7,negated_conjecture,
    ~ s__instance(X1,s__Reptile),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_9,plain,
    ! [X2420,X2421] :
      ( ( s__instance(X2420,s__SetOrClass)
        | ~ s__subclass(X2420,X2421) )
      & ( s__instance(X2421,s__SetOrClass)
        | ~ s__subclass(X2420,X2421) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])]) ).

cnf(c_0_10,plain,
    ( s__instance(esk6_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,s__UnionFn(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_13,plain,
    s__subclass(s__Snake,s__Reptile),
    inference(split_conjunct,[status(thm)],[kb_SUMO_39530]) ).

cnf(c_0_14,negated_conjecture,
    X1 = s__UnionFn(s__Reptile,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_10]) ).

cnf(c_0_15,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(X2,X3) ),
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_16,plain,
    s__instance(s__Snake,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_14,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(X1,X2),
    inference(spm,[status(thm)],[c_0_7,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_18,c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem  : CSR109+7 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.09/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.33  % Computer : n019.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 : Fri Jun 10 15:29:42 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected SinE mode:
% 1.23/1.43  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.23/1.43  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 1.23/1.43  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 1.23/1.43  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 22.74/6.61  # ENIGMATIC: Solved by autoschedule:
% 22.74/6.61  # SinE strategy is gf200_h_gu_R03_F100_L20000
% 22.74/6.61  # Trying AutoSched0 for 148 seconds
% 22.74/6.61  # AutoSched0-Mode selected heuristic G_E___208_B07_F1_AE_CS_SP_PS_S0Y
% 22.74/6.61  # and selection function SelectMaxLComplexAvoidPosPred.
% 22.74/6.61  #
% 22.74/6.61  # Preprocessing time       : 0.143 s
% 22.74/6.61  # Presaturation interreduction done
% 22.74/6.61  
% 22.74/6.61  # Proof found!
% 22.74/6.61  # SZS status Theorem
% 22.74/6.61  # SZS output start CNFRefutation
% See solution above
% 22.74/6.61  # Training examples: 0 positive, 0 negative
% 22.74/6.61  
% 22.74/6.61  # -------------------------------------------------
% 22.74/6.61  # User time                : 1.435 s
% 22.74/6.61  # System time              : 0.125 s
% 22.74/6.61  # Total time               : 1.560 s
% 22.74/6.61  # Maximum resident set size: 140096 pages
% 22.74/6.61  
%------------------------------------------------------------------------------