TSTP Solution File: CSR093+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR093+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.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 02:47:48 EDT 2022

% Result   : Theorem 29.12s 5.99s
% Output   : CNFRefutation 29.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   38 (  13 unt;   0 def)
%            Number of atoms       :  119 (  35 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  131 (  50   ~;  58   |;  18   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-3 aty)
%            Number of variables   :   89 (  50 sgn  18   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_SUMO,conjecture,
    ( s__ancestor(s__Human23_1,s__Human23_15)
    & s__ancestor(s__Human23_1,s__Human23_16) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(kb_SUMO_3496,axiom,
    ! [X171,X172,X173] :
      ( X172 = s__UnionFn(X173,X171)
    <=> ! [X174,X175,X176] :
          ( ( s__instance(X173,s__SetOrClass)
            & s__instance(X172,s__SetOrClass)
            & s__instance(X171,s__SetOrClass) )
         => ( ( s__instance(X174,X173)
              & s__instance(X175,X171)
              & s__instance(X176,X172) )
           => ( s__instance(X174,X172)
              & s__instance(X175,X172)
              & ( s__instance(X176,X173)
                | s__instance(X176,X171) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).

fof(kb_SUMO_3533,axiom,
    ! [X168] :
      ( s__instance(X168,s__SetOrClass)
     => ( s__instance(X168,s__NullSet)
       => ~ ? [X48] : s__instance(X48,X168) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).

fof(local_31,axiom,
    s__ancestor(s__Human23_14,s__Human23_16),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_31) ).

fof(local_30,axiom,
    s__ancestor(s__Human23_14,s__Human23_15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_30) ).

fof(c_0_5,negated_conjecture,
    ~ ( s__ancestor(s__Human23_1,s__Human23_15)
      & s__ancestor(s__Human23_1,s__Human23_16) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

fof(c_0_6,plain,
    ! [X6422,X6423,X6424,X6425,X6426,X6427,X6428,X6429,X6430] :
      ( ( s__instance(X6425,X6423)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6426,X6423)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6427,X6424)
        | s__instance(X6427,X6422)
        | ~ s__instance(X6425,X6424)
        | ~ s__instance(X6426,X6422)
        | ~ s__instance(X6427,X6423)
        | ~ s__instance(X6424,s__SetOrClass)
        | ~ s__instance(X6423,s__SetOrClass)
        | ~ s__instance(X6422,s__SetOrClass)
        | X6423 != s__UnionFn(X6424,X6422) )
      & ( s__instance(X6430,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(X6429,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(X6428,s__SetOrClass)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk158_3(X6428,X6429,X6430),X6430)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk159_3(X6428,X6429,X6430),X6428)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( s__instance(esk160_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( ~ s__instance(esk160_3(X6428,X6429,X6430),X6430)
        | ~ s__instance(esk158_3(X6428,X6429,X6430),X6429)
        | ~ s__instance(esk159_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) )
      & ( ~ s__instance(esk160_3(X6428,X6429,X6430),X6428)
        | ~ s__instance(esk158_3(X6428,X6429,X6430),X6429)
        | ~ s__instance(esk159_3(X6428,X6429,X6430),X6429)
        | X6429 = s__UnionFn(X6430,X6428) ) ),
    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_3496])])])])])]) ).

fof(c_0_7,negated_conjecture,
    ( ~ s__ancestor(s__Human23_1,s__Human23_15)
    | ~ s__ancestor(s__Human23_1,s__Human23_16) ),
    inference(fof_nnf,[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]) ).

cnf(c_0_9,negated_conjecture,
    ( ~ s__ancestor(s__Human23_1,s__Human23_15)
    | ~ s__ancestor(s__Human23_1,s__Human23_16) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( X1 = X2
    | s__instance(X3,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_8,c_0_8]) ).

fof(c_0_11,plain,
    ! [X6434,X6435] :
      ( ~ s__instance(X6434,s__SetOrClass)
      | ~ s__instance(X6434,s__NullSet)
      | ~ s__instance(X6435,X6434) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).

cnf(c_0_12,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__ancestor(X2,s__Human23_15)
    | ~ s__ancestor(X2,s__Human23_16) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    s__ancestor(s__Human23_14,s__Human23_16),
    inference(split_conjunct,[status(thm)],[local_31]) ).

cnf(c_0_14,plain,
    s__ancestor(s__Human23_14,s__Human23_15),
    inference(split_conjunct,[status(thm)],[local_30]) ).

cnf(c_0_15,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]) ).

cnf(c_0_17,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).

cnf(c_0_18,plain,
    ( s__instance(esk160_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,esk160_3(X2,s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_20,plain,
    ( esk160_3(X1,s__NullSet,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X2,X1) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_21,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,s__UnionFn(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_22,plain,
    ( s__instance(esk159_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_23,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_24,plain,
    ( s__UnionFn(X1,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_20,c_0_20]) ).

cnf(c_0_25,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__NullSet != X1 ),
    inference(ef,[status(thm)],[c_0_23]) ).

cnf(c_0_26,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | s__UnionFn(X3,X4) != s__NullSet ),
    inference(ef,[status(thm)],[c_0_24]) ).

cnf(c_0_27,plain,
    s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet,
    inference(er,[status(thm)],[c_0_25]) ).

cnf(c_0_28,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_17,c_0_22]) ).

cnf(c_0_29,plain,
    s__UnionFn(X1,X2) = s__NullSet,
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    ( X1 = s__NullSet
    | ~ s__instance(X2,esk159_3(s__NullSet,X1,X3)) ),
    inference(rw,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,plain,
    ( X1 = s__NullSet
    | s__instance(esk159_3(X2,X1,X3),X2) ),
    inference(rw,[status(thm)],[c_0_22,c_0_29]) ).

cnf(c_0_32,plain,
    X1 = s__NullSet,
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31])]) ).

cnf(c_0_33,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_32,c_0_32]) ).

cnf(c_0_34,plain,
    s__ancestor(X1,s__Human23_15),
    inference(spm,[status(thm)],[c_0_14,c_0_33]) ).

cnf(c_0_35,negated_conjecture,
    ~ s__ancestor(s__Human23_1,s__Human23_16),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_34])]) ).

cnf(c_0_36,plain,
    s__ancestor(X1,s__Human23_16),
    inference(spm,[status(thm)],[c_0_13,c_0_33]) ).

cnf(c_0_37,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : CSR093+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.09/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.10/0.32  % Computer : n010.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 600
% 0.10/0.32  % DateTime : Sat Jun 11 11:58:42 EDT 2022
% 0.10/0.32  % CPUTime  : 
% 0.17/0.43  # ENIGMATIC: Selected SinE mode:
% 0.35/0.61  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.61  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.35/0.61  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.35/0.61  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 29.12/5.99  # ENIGMATIC: Solved by autoschedule:
% 29.12/5.99  # No SInE strategy applied
% 29.12/5.99  # Trying AutoSched0 for 150 seconds
% 29.12/5.99  # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 29.12/5.99  # and selection function SelectMaxLComplexAvoidPosPred.
% 29.12/5.99  #
% 29.12/5.99  # Preprocessing time       : 0.585 s
% 29.12/5.99  
% 29.12/5.99  # Proof found!
% 29.12/5.99  # SZS status Theorem
% 29.12/5.99  # SZS output start CNFRefutation
% See solution above
% 29.12/5.99  # Training examples: 0 positive, 0 negative
% 29.12/5.99  
% 29.12/5.99  # -------------------------------------------------
% 29.12/5.99  # User time                : 2.527 s
% 29.12/5.99  # System time              : 0.090 s
% 29.12/5.99  # Total time               : 2.617 s
% 29.12/5.99  # Maximum resident set size: 10076 pages
% 29.12/5.99  
%------------------------------------------------------------------------------