TSTP Solution File: CSR107+4 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : CSR107+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 : Fri Jul 15 02:48:03 EDT 2022

% Result   : ContradictoryAxioms 29.26s 5.98s
% Output   : CNFRefutation 29.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   43 (  12 unt;   0 def)
%            Number of atoms       :  158 (  42 equ)
%            Maximal formula atoms :   45 (   3 avg)
%            Number of connectives :  175 (  60   ~;  73   |;  32   &)
%                                         (   2 <=>;   8  =>;   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    :   15 (  15 usr;   8 con; 0-3 aty)
%            Number of variables   :  102 (  51 sgn  27   !;   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/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_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(kb_SUMO_1055,axiom,
    ! [X48] :
      ( s__instance(X48,s__TimeInterval)
     => ~ s__earlier(X48,X48) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+0.ax',kb_SUMO_1055) ).

fof(local_4,axiom,
    s__earlier(s__TimeInterval38_1,s__TimeInterval38_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).

fof(local_1,axiom,
    s__instance(s__TimeInterval38_1,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

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(c_0_7,plain,
    ! [X2369] :
      ( ( s__instance(esk36_1(X2369),s__SetOrClass)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( s__instance(esk35_1(X2369),s__SetOrClass)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( s__subclass(esk35_1(X2369),s__Substance)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( s__subclass(esk36_1(X2369),s__Substance)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( s__material(esk35_1(X2369),X2369)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( s__material(esk36_1(X2369),X2369)
        | ~ s__instance(X2369,s__CorpuscularObject) )
      & ( esk35_1(X2369) != esk36_1(X2369)
        | ~ s__instance(X2369,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_8,plain,
    ! [X6419,X6420] :
      ( ( s__instance(X6420,s__Set)
        | X6420 = X6419 )
      & ( s__instance(X6419,s__Set)
        | X6420 = X6419 )
      & ( ~ s__element(esk157_2(X6419,X6420),X6420)
        | ~ s__element(esk157_2(X6419,X6420),X6419)
        | X6420 = X6419 )
      & ( s__element(esk157_2(X6419,X6420),X6420)
        | s__element(esk157_2(X6419,X6420),X6419)
        | X6420 = X6419 ) ),
    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_9,plain,
    ( esk35_1(X1) != esk36_1(X1)
    | ~ s__instance(X1,s__CorpuscularObject) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__Set)
    | X2 = X1 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

fof(c_0_11,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])])])])])]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,s__Set)
    | ~ s__instance(X2,s__CorpuscularObject) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).

cnf(c_0_13,plain,
    ( s__instance(esk159_3(X1,X2,X3),X1)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_14,plain,
    ( X1 = s__UnionFn(X2,s__CorpuscularObject)
    | s__instance(X3,s__Set) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

fof(c_0_15,plain,
    ! [X2630] :
      ( ~ s__instance(X2630,s__TimeInterval)
      | ~ s__earlier(X2630,X2630) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[kb_SUMO_1055])])]) ).

cnf(c_0_16,plain,
    s__earlier(s__TimeInterval38_1,s__TimeInterval38_2),
    inference(split_conjunct,[status(thm)],[local_4]) ).

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

cnf(c_0_18,plain,
    ( ~ s__instance(X1,s__TimeInterval)
    | ~ s__earlier(X1,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,plain,
    ( s__earlier(s__TimeInterval38_1,X1)
    | s__instance(X2,s__Set) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,plain,
    s__instance(s__TimeInterval38_1,s__TimeInterval),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_21,plain,
    ( s__instance(X1,s__SetOrClass)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_22,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_23,plain,
    s__instance(X1,s__Set),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_24,plain,
    ( X1 = X2
    | s__instance(X3,s__SetOrClass) ),
    inference(spm,[status(thm)],[c_0_21,c_0_21]) ).

cnf(c_0_25,plain,
    ( ~ s__instance(X1,s__SetOrClass)
    | ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_26,plain,
    s__instance(X1,s__SetOrClass),
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_27,plain,
    ( ~ s__instance(X1,s__NullSet)
    | ~ s__instance(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).

cnf(c_0_28,plain,
    ( s__instance(esk160_3(X1,X2,X3),X2)
    | X2 = s__UnionFn(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

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

cnf(c_0_30,plain,
    ( esk160_3(X1,s__NullSet,X2) = s__UnionFn(X3,X4)
    | s__UnionFn(X2,X1) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_29,c_0_28]) ).

cnf(c_0_31,plain,
    ( s__UnionFn(X1,X2) = s__NullSet
    | ~ s__instance(X3,s__UnionFn(X4,X5)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_32,plain,
    ( X1 = s__UnionFn(X2,s__UnionFn(X3,X4))
    | s__UnionFn(X5,X6) = s__NullSet ),
    inference(spm,[status(thm)],[c_0_31,c_0_13]) ).

cnf(c_0_33,plain,
    ( s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet
    | X4 != s__NullSet ),
    inference(ef,[status(thm)],[c_0_32]) ).

cnf(c_0_34,plain,
    s__UnionFn(X1,s__UnionFn(X2,X3)) = s__NullSet,
    inference(er,[status(thm)],[c_0_33]) ).

cnf(c_0_35,plain,
    ( X1 = s__UnionFn(X2,s__NullSet)
    | ~ s__instance(X3,esk159_3(s__NullSet,X1,X2)) ),
    inference(spm,[status(thm)],[c_0_27,c_0_13]) ).

cnf(c_0_36,plain,
    s__UnionFn(X1,X2) = s__NullSet,
    inference(condense,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_34])]) ).

cnf(c_0_37,plain,
    ( X1 = s__NullSet
    | ~ s__instance(X2,esk159_3(s__NullSet,X1,X3)) ),
    inference(rw,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_38,plain,
    ( X1 = s__NullSet
    | s__instance(esk159_3(X2,X1,X3),X2) ),
    inference(rw,[status(thm)],[c_0_13,c_0_36]) ).

cnf(c_0_39,plain,
    X1 = s__NullSet,
    inference(condense,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38])]) ).

cnf(c_0_40,plain,
    X1 = X2,
    inference(spm,[status(thm)],[c_0_39,c_0_39]) ).

cnf(c_0_41,plain,
    s__earlier(s__TimeInterval38_1,X1),
    inference(spm,[status(thm)],[c_0_16,c_0_40]) ).

cnf(c_0_42,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_41]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : CSR107+4 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.11  % Command  : enigmatic-eprover.py %s %d 1
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Thu Jun  9 19:53:24 EDT 2022
% 0.11/0.30  % CPUTime  : 
% 0.15/0.39  # ENIGMATIC: Selected SinE mode:
% 0.15/0.53  # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.53  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.15/0.53  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.15/0.53  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 29.26/5.98  # ENIGMATIC: Solved by autoschedule:
% 29.26/5.98  # No SInE strategy applied
% 29.26/5.98  # Trying AutoSched0 for 150 seconds
% 29.26/5.98  # AutoSched0-Mode selected heuristic G_E___107_C18_F1_AE_Q4_CS_SP_CO_S0Y
% 29.26/5.98  # and selection function SelectMaxLComplexAvoidPosPred.
% 29.26/5.98  #
% 29.26/5.98  # Preprocessing time       : 0.576 s
% 29.26/5.98  
% 29.26/5.98  # Proof found!
% 29.26/5.98  # SZS status ContradictoryAxioms
% 29.26/5.98  # SZS output start CNFRefutation
% See solution above
% 29.26/5.98  # Training examples: 0 positive, 0 negative
% 29.26/5.98  
% 29.26/5.98  # -------------------------------------------------
% 29.26/5.98  # User time                : 2.502 s
% 29.26/5.98  # System time              : 0.082 s
% 29.26/5.98  # Total time               : 2.584 s
% 29.26/5.98  # Maximum resident set size: 10060 pages
% 29.26/5.98  
%------------------------------------------------------------------------------