TSTP Solution File: CSR109+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR109+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n014.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 02:48:05 EDT 2022

% Result   : Theorem 36.42s 7.14s
% Output   : CNFRefutation 36.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   53 (  17 unt;   0 def)
%            Number of atoms       :  190 (  49 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  208 (  71   ~;  85   |;  40   &)
%                                         (   2 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   19 (  19 usr;  11 con; 0-3 aty)
%            Number of variables   :  125 (  65 sgn  31   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_622,axiom,
    ! [X51] :
      ( s__instance(X51,s__CorpuscularObject)
     => ? [X65,X66] :
          ( s__instance(X66,s__SetOrClass)
          & s__instance(X65,s__SetOrClass)
          & s__subclass(X65,s__Substance)
          & s__subclass(X66,s__Substance)
          & s__material(X65,X51)
          & s__material(X66,X51)
          & X65 != X66 ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_622) ).

fof(kb_SUMO_3489,axiom,
    ! [X169,X170] :
      ( ! [X49] :
          ( ( s__instance(X170,s__Set)
            & s__instance(X169,s__Set) )
         => ( s__element(X49,X170)
          <=> s__element(X49,X169) ) )
     => X170 = X169 ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3489) ).

fof(kb_SUMO_5990,axiom,
    ! [X474] :
      ( s__instance(X474,s__Bacterium)
     => ? [X475] :
          ( s__instance(X475,s__CorpuscularObject)
          & s__component(X475,X474)
          & s__instance(X475,s__Cell)
          & ! [X476] :
              ( ( s__instance(X476,s__CorpuscularObject)
                & s__instance(X474,s__CorpuscularObject) )
             => ( ( s__component(X476,X474)
                  & s__instance(X476,s__Cell) )
               => X475 = X476 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_5990) ).

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/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3496) ).

fof(prove_from_SUMO,conjecture,
    s__instance(s__Creature50_1,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(kb_SUMO_502,axiom,
    ! [X26] : s__instance(X26,s__Entity),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_502) ).

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

fof(local_1,axiom,
    s__instance(s__Creature50_1,s__Animal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(c_0_8,plain,
    ! [X2379] :
      ( ( s__instance(esk36_1(X2379),s__SetOrClass)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( s__instance(esk35_1(X2379),s__SetOrClass)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( s__subclass(esk35_1(X2379),s__Substance)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( s__subclass(esk36_1(X2379),s__Substance)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( s__material(esk35_1(X2379),X2379)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( s__material(esk36_1(X2379),X2379)
        | ~ s__instance(X2379,s__CorpuscularObject) )
      & ( esk35_1(X2379) != esk36_1(X2379)
        | ~ s__instance(X2379,s__CorpuscularObject) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_622])])])]) ).

fof(c_0_9,plain,
    ! [X6429,X6430] :
      ( ( s__instance(X6430,s__Set)
        | X6430 = X6429 )
      & ( s__instance(X6429,s__Set)
        | X6430 = X6429 )
      & ( ~ s__element(esk157_2(X6429,X6430),X6430)
        | ~ s__element(esk157_2(X6429,X6430),X6429)
        | X6430 = X6429 )
      & ( s__element(esk157_2(X6429,X6430),X6430)
        | s__element(esk157_2(X6429,X6430),X6429)
        | X6430 = X6429 ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3489])])])])]) ).

cnf(c_0_10,plain,
    ( esk35_1(X1) != esk36_1(X1)
    | ~ s__instance(X1,s__CorpuscularObject) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_12,plain,
    ! [X7685,X7687] :
      ( ( s__instance(esk404_1(X7685),s__CorpuscularObject)
        | ~ s__instance(X7685,s__Bacterium) )
      & ( s__component(esk404_1(X7685),X7685)
        | ~ s__instance(X7685,s__Bacterium) )
      & ( s__instance(esk404_1(X7685),s__Cell)
        | ~ s__instance(X7685,s__Bacterium) )
      & ( ~ s__instance(X7687,s__CorpuscularObject)
        | ~ s__instance(X7685,s__CorpuscularObject)
        | ~ s__component(X7687,X7685)
        | ~ s__instance(X7687,s__Cell)
        | esk404_1(X7685) = X7687
        | ~ s__instance(X7685,s__Bacterium) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_5990])])])])]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__Set)
    | ~ s__instance(X2,s__CorpuscularObject) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).

cnf(c_0_14,plain,
    ( s__instance(esk404_1(X1),s__CorpuscularObject)
    | ~ s__instance(X1,s__Bacterium) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

fof(c_0_15,plain,
    ! [X6432,X6433,X6434,X6435,X6436,X6437,X6438,X6439,X6440] :
      ( ( s__instance(X6435,X6433)
        | ~ s__instance(X6435,X6434)
        | ~ s__instance(X6436,X6432)
        | ~ s__instance(X6437,X6433)
        | ~ s__instance(X6434,s__SetOrClass)
        | ~ s__instance(X6433,s__SetOrClass)
        | ~ s__instance(X6432,s__SetOrClass)
        | X6433 != s__UnionFn(X6434,X6432) )
      & ( s__instance(X6436,X6433)
        | ~ s__instance(X6435,X6434)
        | ~ s__instance(X6436,X6432)
        | ~ s__instance(X6437,X6433)
        | ~ s__instance(X6434,s__SetOrClass)
        | ~ s__instance(X6433,s__SetOrClass)
        | ~ s__instance(X6432,s__SetOrClass)
        | X6433 != s__UnionFn(X6434,X6432) )
      & ( s__instance(X6437,X6434)
        | s__instance(X6437,X6432)
        | ~ s__instance(X6435,X6434)
        | ~ s__instance(X6436,X6432)
        | ~ s__instance(X6437,X6433)
        | ~ s__instance(X6434,s__SetOrClass)
        | ~ s__instance(X6433,s__SetOrClass)
        | ~ s__instance(X6432,s__SetOrClass)
        | X6433 != s__UnionFn(X6434,X6432) )
      & ( s__instance(X6440,s__SetOrClass)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( s__instance(X6439,s__SetOrClass)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( s__instance(X6438,s__SetOrClass)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( s__instance(esk158_3(X6438,X6439,X6440),X6440)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( s__instance(esk159_3(X6438,X6439,X6440),X6438)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( s__instance(esk160_3(X6438,X6439,X6440),X6439)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( ~ s__instance(esk160_3(X6438,X6439,X6440),X6440)
        | ~ s__instance(esk158_3(X6438,X6439,X6440),X6439)
        | ~ s__instance(esk159_3(X6438,X6439,X6440),X6439)
        | X6439 = s__UnionFn(X6440,X6438) )
      & ( ~ s__instance(esk160_3(X6438,X6439,X6440),X6438)
        | ~ s__instance(esk158_3(X6438,X6439,X6440),X6439)
        | ~ s__instance(esk159_3(X6438,X6439,X6440),X6439)
        | X6439 = s__UnionFn(X6440,X6438) ) ),
    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_16,negated_conjecture,
    ~ s__instance(s__Creature50_1,s__Reptile),
    inference(assume_negation,[status(cth)],[prove_from_SUMO]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,s__Set)
    | ~ s__instance(X2,s__Bacterium) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( s__instance(esk158_3(X1,X2,X3),X3)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

fof(c_0_19,negated_conjecture,
    ~ s__instance(s__Creature50_1,s__Reptile),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    ( X1 = s__UnionFn(s__Bacterium,X2)
    | s__instance(X3,s__Set) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_22,negated_conjecture,
    ~ s__instance(s__Creature50_1,s__Reptile),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_23,plain,
    ( X1 = X2
    | s__instance(X3,s__Set) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_20])]) ).

fof(c_0_24,plain,
    ! [X2333] : s__instance(X2333,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_502]) ).

cnf(c_0_25,plain,
    ( X1 = X2
    | s__instance(X3,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_21,c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( s__instance(X1,s__Set)
    | ~ s__instance(s__Creature50_1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

fof(c_0_28,plain,
    ! [X6444,X6445] :
      ( ~ s__instance(X6444,s__SetOrClass)
      | ~ s__instance(X6444,s__NullSet)
      | ~ s__instance(X6445,X6444) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).

cnf(c_0_29,negated_conjecture,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__instance(s__Creature50_1,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    s__instance(X1,s__Set),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    s__instance(X1,s__SetOrClass),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_33,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32])]) ).

cnf(c_0_34,plain,
    ( s__instance(esk160_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_35,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,esk160_3(X2,s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_36,plain,
    ( esk160_3(X1,s__NullSet,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X2,X1) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

cnf(c_0_37,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,s__UnionFn(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,plain,
    ( s__instance(esk159_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_39,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_40,plain,
    ( s__UnionFn(X1,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_36,c_0_36]) ).

cnf(c_0_41,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__NullSet != X1 ),
    inference(ef,[status(thm)],[c_0_39]) ).

cnf(c_0_42,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | s__UnionFn(X3,X4) != s__NullSet ),
    inference(ef,[status(thm)],[c_0_40]) ).

cnf(c_0_43,plain,
    s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet,
    inference(er,[status(thm)],[c_0_41]) ).

cnf(c_0_44,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_38]) ).

cnf(c_0_45,plain,
    s__UnionFn(X1,X2) = s__NullSet,
    inference(spm,[status(thm)],[c_0_42,c_0_43]) ).

cnf(c_0_46,plain,
    ( X1 = s__NullSet
    | ~ s__instance(X2,esk159_3(s__NullSet,X1,X3)) ),
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_47,plain,
    ( X1 = s__NullSet
    | s__instance(esk159_3(X2,X1,X3),X2) ),
    inference(rw,[status(thm)],[c_0_38,c_0_45]) ).

cnf(c_0_48,plain,
    X1 = s__NullSet,
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47])]) ).

cnf(c_0_49,plain,
    s__instance(s__Creature50_1,s__Animal),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_50,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_48,c_0_48]) ).

cnf(c_0_51,plain,
    s__instance(s__Creature50_1,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_52,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_51])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : CSR109+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sat Jun 11 13:26:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.46  # ENIGMATIC: Selected SinE mode:
% 0.47/0.65  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.47/0.65  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.47/0.65  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 36.42/7.14  # ENIGMATIC: Solved by autoschedule:
% 36.42/7.14  # No SInE strategy applied
% 36.42/7.14  # Trying AutoSched0 for 150 seconds
% 36.42/7.14  # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 36.42/7.14  # and selection function SelectMaxLComplexAvoidPosPred.
% 36.42/7.14  #
% 36.42/7.14  # Preprocessing time       : 0.643 s
% 36.42/7.14  
% 36.42/7.14  # Proof found!
% 36.42/7.14  # SZS status Theorem
% 36.42/7.14  # SZS output start CNFRefutation
% See solution above
% 36.42/7.14  # Training examples: 0 positive, 0 negative
% 36.42/7.14  
% 36.42/7.14  # -------------------------------------------------
% 36.42/7.14  # User time                : 3.049 s
% 36.42/7.14  # System time              : 0.103 s
% 36.42/7.14  # Total time               : 3.152 s
% 36.42/7.14  # Maximum resident set size: 10068 pages
% 36.42/7.14  
%------------------------------------------------------------------------------