TSTP Solution File: CSR076+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR076+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n025.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 02:47:30 EDT 2022

% Result   : ContradictoryAxioms 36.64s 7.13s
% Output   : CNFRefutation 36.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   54 (  14 unt;   0 def)
%            Number of atoms       :  226 (  73 equ)
%            Maximal formula atoms :   45 (   4 avg)
%            Number of connectives :  265 (  93   ~; 113   |;  45   &)
%                                         (   3 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   25 (  22 usr;  15 con; 0-3 aty)
%            Number of variables   :  125 (  61 sgn  35   !;   3   ?)

% 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/sandbox2/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/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3489) ).

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_502,axiom,
    ! [X26] : s__instance(X26,s__Entity),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3533) ).

fof(kb_SUMO_3259,axiom,
    ! [X52,X53] :
      ( ( s__AbsoluteValueFn(X53) = X52
        & s__instance(X53,s__RealNumber)
        & s__instance(X52,s__RealNumber) )
    <=> ( ( s__instance(X53,s__NonnegativeRealNumber)
          & X53 = X52 )
        | ( s__instance(X53,s__NegativeRealNumber)
          & X52 = minus("0",X53) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3259) ).

fof(kb_SUMO_3423,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__PositiveRealNumber)
       => s__SignumFn(X12) = "1" ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3423) ).

fof(kb_SUMO_3424,axiom,
    ! [X12] :
      ( s__instance(X12,s__RealNumber)
     => ( s__instance(X12,s__NegativeRealNumber)
       => s__SignumFn(X12) = "-1" ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+0.ax',kb_SUMO_3424) ).

fof(local_1,axiom,
    s__instance(s__TheKB2_1,s__ComputerProgram),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(c_0_9,plain,
    ! [X2372] :
      ( ( s__instance(esk36_1(X2372),s__SetOrClass)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( s__instance(esk35_1(X2372),s__SetOrClass)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( s__subclass(esk35_1(X2372),s__Substance)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( s__subclass(esk36_1(X2372),s__Substance)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( s__material(esk35_1(X2372),X2372)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( s__material(esk36_1(X2372),X2372)
        | ~ s__instance(X2372,s__CorpuscularObject) )
      & ( esk35_1(X2372) != esk36_1(X2372)
        | ~ s__instance(X2372,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_10,plain,
    ! [X6422,X6423] :
      ( ( s__instance(X6423,s__Set)
        | X6423 = X6422 )
      & ( s__instance(X6422,s__Set)
        | X6423 = X6422 )
      & ( ~ s__element(esk157_2(X6422,X6423),X6423)
        | ~ s__element(esk157_2(X6422,X6423),X6422)
        | X6423 = X6422 )
      & ( s__element(esk157_2(X6422,X6423),X6423)
        | s__element(esk157_2(X6422,X6423),X6422)
        | X6423 = X6422 ) ),
    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_11,plain,
    ( esk35_1(X1) != esk36_1(X1)
    | ~ s__instance(X1,s__CorpuscularObject) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_13,plain,
    ! [X6425,X6426,X6427,X6428,X6429,X6430,X6431,X6432,X6433] :
      ( ( s__instance(X6428,X6426)
        | ~ s__instance(X6428,X6427)
        | ~ s__instance(X6429,X6425)
        | ~ s__instance(X6430,X6426)
        | ~ s__instance(X6427,s__SetOrClass)
        | ~ s__instance(X6426,s__SetOrClass)
        | ~ s__instance(X6425,s__SetOrClass)
        | X6426 != s__UnionFn(X6427,X6425) )
      & ( s__instance(X6429,X6426)
        | ~ s__instance(X6428,X6427)
        | ~ s__instance(X6429,X6425)
        | ~ s__instance(X6430,X6426)
        | ~ s__instance(X6427,s__SetOrClass)
        | ~ s__instance(X6426,s__SetOrClass)
        | ~ s__instance(X6425,s__SetOrClass)
        | X6426 != s__UnionFn(X6427,X6425) )
      & ( s__instance(X6430,X6427)
        | s__instance(X6430,X6425)
        | ~ s__instance(X6428,X6427)
        | ~ s__instance(X6429,X6425)
        | ~ s__instance(X6430,X6426)
        | ~ s__instance(X6427,s__SetOrClass)
        | ~ s__instance(X6426,s__SetOrClass)
        | ~ s__instance(X6425,s__SetOrClass)
        | X6426 != s__UnionFn(X6427,X6425) )
      & ( s__instance(X6433,s__SetOrClass)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( s__instance(X6432,s__SetOrClass)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( s__instance(X6431,s__SetOrClass)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( s__instance(esk158_3(X6431,X6432,X6433),X6433)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( s__instance(esk159_3(X6431,X6432,X6433),X6431)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( s__instance(esk160_3(X6431,X6432,X6433),X6432)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( ~ s__instance(esk160_3(X6431,X6432,X6433),X6433)
        | ~ s__instance(esk158_3(X6431,X6432,X6433),X6432)
        | ~ s__instance(esk159_3(X6431,X6432,X6433),X6432)
        | X6432 = s__UnionFn(X6433,X6431) )
      & ( ~ s__instance(esk160_3(X6431,X6432,X6433),X6431)
        | ~ s__instance(esk158_3(X6431,X6432,X6433),X6432)
        | ~ s__instance(esk159_3(X6431,X6432,X6433),X6432)
        | X6432 = s__UnionFn(X6433,X6431) ) ),
    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])])])])])]) ).

cnf(c_0_14,plain,
    ( s__instance(X1,s__Set)
    | ~ s__instance(X2,s__CorpuscularObject) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).

cnf(c_0_15,plain,
    ( s__instance(esk159_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_16,plain,
    ! [X2326] : s__instance(X2326,s__Entity),
    inference(variable_rename,[status(thm)],[kb_SUMO_502]) ).

cnf(c_0_17,plain,
    ( X1 = s__UnionFn(X2,s__CorpuscularObject)
    | s__instance(X3,s__Set) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    s__instance(X1,s__Entity),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    ( X1 = X2
    | s__instance(X3,s__Set) ),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_17])]) ).

cnf(c_0_20,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

fof(c_0_21,plain,
    ! [X6437,X6438] :
      ( ~ s__instance(X6437,s__SetOrClass)
      | ~ s__instance(X6437,s__NullSet)
      | ~ s__instance(X6438,X6437) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3533])])]) ).

cnf(c_0_22,plain,
    s__instance(X1,s__Set),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19])]) ).

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

cnf(c_0_24,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    s__instance(X1,s__SetOrClass),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23])]) ).

cnf(c_0_26,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]) ).

cnf(c_0_27,plain,
    ( s__instance(esk160_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_28,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,esk160_3(X2,s__NullSet,X1)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,plain,
    ( esk160_3(X1,s__NullSet,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X2,X1) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_28,c_0_27]) ).

cnf(c_0_30,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,s__UnionFn(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_30,c_0_15]) ).

cnf(c_0_32,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__NullSet != X1 ),
    inference(ef,[status(thm)],[c_0_31]) ).

cnf(c_0_33,plain,
    ( s__UnionFn(X1,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_29,c_0_29]) ).

cnf(c_0_34,plain,
    s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet,
    inference(er,[status(thm)],[c_0_32]) ).

cnf(c_0_35,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | s__UnionFn(X3,X4) != s__NullSet ),
    inference(ef,[status(thm)],[c_0_33]) ).

cnf(c_0_36,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_15]) ).

cnf(c_0_37,plain,
    s__UnionFn(X1,s__NullSet) = s__NullSet,
    inference(spm,[status(thm)],[c_0_34,c_0_34]) ).

cnf(c_0_38,plain,
    s__UnionFn(X1,X2) = s__NullSet,
    inference(spm,[status(thm)],[c_0_35,c_0_34]) ).

fof(c_0_39,plain,
    ! [X6178,X6179] :
      ( ( s__instance(X6179,s__NegativeRealNumber)
        | s__instance(X6179,s__NonnegativeRealNumber)
        | s__AbsoluteValueFn(X6179) != X6178
        | ~ s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6178,s__RealNumber) )
      & ( X6178 = minus("0",X6179)
        | s__instance(X6179,s__NonnegativeRealNumber)
        | s__AbsoluteValueFn(X6179) != X6178
        | ~ s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6178,s__RealNumber) )
      & ( s__instance(X6179,s__NegativeRealNumber)
        | X6179 = X6178
        | s__AbsoluteValueFn(X6179) != X6178
        | ~ s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6178,s__RealNumber) )
      & ( X6178 = minus("0",X6179)
        | X6179 = X6178
        | s__AbsoluteValueFn(X6179) != X6178
        | ~ s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6178,s__RealNumber) )
      & ( s__AbsoluteValueFn(X6179) = X6178
        | ~ s__instance(X6179,s__NonnegativeRealNumber)
        | X6179 != X6178 )
      & ( s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6179,s__NonnegativeRealNumber)
        | X6179 != X6178 )
      & ( s__instance(X6178,s__RealNumber)
        | ~ s__instance(X6179,s__NonnegativeRealNumber)
        | X6179 != X6178 )
      & ( s__AbsoluteValueFn(X6179) = X6178
        | ~ s__instance(X6179,s__NegativeRealNumber)
        | X6178 != minus("0",X6179) )
      & ( s__instance(X6179,s__RealNumber)
        | ~ s__instance(X6179,s__NegativeRealNumber)
        | X6178 != minus("0",X6179) )
      & ( s__instance(X6178,s__RealNumber)
        | ~ s__instance(X6179,s__NegativeRealNumber)
        | X6178 != minus("0",X6179) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3259])])]) ).

cnf(c_0_40,plain,
    ( X1 = s__NullSet
    | ~ s__instance(X2,esk159_3(s__NullSet,X1,X3)) ),
    inference(rw,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_41,plain,
    ( X1 = s__NullSet
    | s__instance(esk159_3(X2,X1,X3),X2) ),
    inference(rw,[status(thm)],[c_0_15,c_0_38]) ).

fof(c_0_42,plain,
    ! [X6395] :
      ( ~ s__instance(X6395,s__RealNumber)
      | ~ s__instance(X6395,s__PositiveRealNumber)
      | s__SignumFn(X6395) = "1" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3423])]) ).

fof(c_0_43,plain,
    ! [X6396] :
      ( ~ s__instance(X6396,s__RealNumber)
      | ~ s__instance(X6396,s__NegativeRealNumber)
      | s__SignumFn(X6396) = "-1" ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_3424])]) ).

cnf(c_0_44,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber)
    | X2 != minus("0",X1) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_45,plain,
    X1 = s__NullSet,
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41])]) ).

cnf(c_0_46,plain,
    ( s__SignumFn(X1) = "1"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__PositiveRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_47,plain,
    ( s__SignumFn(X1) = "-1"
    | ~ s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_48,plain,
    ( s__instance(X1,s__RealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_49,plain,
    s__instance(s__TheKB2_1,s__ComputerProgram),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_50,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_45,c_0_45]) ).

cnf(c_0_51,plain,
    ( ~ s__instance(X1,s__PositiveRealNumber)
    | ~ s__instance(X1,s__NegativeRealNumber) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).

cnf(c_0_52,plain,
    s__instance(s__TheKB2_1,X1),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_53,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_52])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : CSR076+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.12/0.13  % Command  : enigmatic-eprover.py %s %d 1
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sat Jun 11 10:02:53 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.21/0.46  # ENIGMATIC: Selected SinE mode:
% 0.46/0.65  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.65  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.46/0.65  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.46/0.65  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 36.64/7.13  # ENIGMATIC: Solved by autoschedule:
% 36.64/7.13  # No SInE strategy applied
% 36.64/7.13  # Trying AutoSched0 for 150 seconds
% 36.64/7.13  # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 36.64/7.13  # and selection function SelectMaxLComplexAvoidPosPred.
% 36.64/7.13  #
% 36.64/7.13  # Preprocessing time       : 0.593 s
% 36.64/7.13  
% 36.64/7.13  # Proof found!
% 36.64/7.13  # SZS status ContradictoryAxioms
% 36.64/7.13  # SZS output start CNFRefutation
% See solution above
% 36.64/7.13  # Training examples: 0 positive, 0 negative
% 36.64/7.13  
% 36.64/7.13  # -------------------------------------------------
% 36.64/7.13  # User time                : 3.250 s
% 36.64/7.13  # System time              : 0.128 s
% 36.64/7.13  # Total time               : 3.379 s
% 36.64/7.13  # Maximum resident set size: 10060 pages
% 36.64/7.13  
%------------------------------------------------------------------------------