TSTP Solution File: SET099+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SET099+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n013.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 : Tue Jul 19 00:09:27 EDT 2022

% Result   : Theorem 13.73s 3.11s
% Output   : CNFRefutation 13.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   81 (  19 unt;   0 def)
%            Number of atoms       :  210 (  62 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  211 (  82   ~;  95   |;  23   &)
%                                         (   5 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :  148 (  14 sgn  45   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(corollary_2_to_number_of_elements_in_class,conjecture,
    ! [X1] :
      ( ! [X3,X4] :
          ( ( member(X3,X1)
            & member(X4,intersection(complement(singleton(X3)),X1)) )
         => X3 = X4 )
     => ( X1 = null_class
        | ? [X2] : singleton(X2) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_2_to_number_of_elements_in_class) ).

fof(intersection,axiom,
    ! [X1,X2,X5] :
      ( member(X5,intersection(X1,X2))
    <=> ( member(X5,X1)
        & member(X5,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',intersection) ).

fof(regularity,axiom,
    ! [X1] :
      ( X1 != null_class
     => ? [X3] :
          ( member(X3,universal_class)
          & member(X3,X1)
          & disjoint(X3,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',regularity) ).

fof(singleton_set_defn,axiom,
    ! [X1] : singleton(X1) = unordered_pair(X1,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).

fof(complement,axiom,
    ! [X1,X5] :
      ( member(X5,complement(X1))
    <=> ( member(X5,universal_class)
        & ~ member(X5,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',complement) ).

fof(unordered_pair_defn,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( member(X3,universal_class)
        & ( X3 = X1
          | X3 = X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).

fof(subclass_defn,axiom,
    ! [X1,X2] :
      ( subclass(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',subclass_defn) ).

fof(class_elements_are_sets,axiom,
    ! [X1] : subclass(X1,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',class_elements_are_sets) ).

fof(null_class_defn,axiom,
    ! [X1] : ~ member(X1,null_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',null_class_defn) ).

fof(extensionality,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subclass(X1,X2)
        & subclass(X2,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',extensionality) ).

fof(c_0_10,negated_conjecture,
    ~ ! [X1] :
        ( ! [X3,X4] :
            ( ( member(X3,X1)
              & member(X4,intersection(complement(singleton(X3)),X1)) )
           => X3 = X4 )
       => ( X1 = null_class
          | ? [X2] : singleton(X2) = X1 ) ),
    inference(assume_negation,[status(cth)],[corollary_2_to_number_of_elements_in_class]) ).

fof(c_0_11,plain,
    ! [X38,X39,X40] :
      ( ( member(X40,X38)
        | ~ member(X40,intersection(X38,X39)) )
      & ( member(X40,X39)
        | ~ member(X40,intersection(X38,X39)) )
      & ( ~ member(X40,X38)
        | ~ member(X40,X39)
        | member(X40,intersection(X38,X39)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])]) ).

fof(c_0_12,plain,
    ! [X101] :
      ( ( member(esk6_1(X101),universal_class)
        | X101 = null_class )
      & ( member(esk6_1(X101),X101)
        | X101 = null_class )
      & ( disjoint(esk6_1(X101),X101)
        | X101 = null_class ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[regularity])])])]) ).

fof(c_0_13,negated_conjecture,
    ! [X108,X109,X110] :
      ( ( ~ member(X108,esk8_0)
        | ~ member(X109,intersection(complement(singleton(X108)),esk8_0))
        | X108 = X109 )
      & esk8_0 != null_class
      & singleton(X110) != esk8_0 ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).

fof(c_0_14,plain,
    ! [X24] : singleton(X24) = unordered_pair(X24,X24),
    inference(variable_rename,[status(thm)],[singleton_set_defn]) ).

fof(c_0_15,plain,
    ! [X41,X42] :
      ( ( member(X42,universal_class)
        | ~ member(X42,complement(X41)) )
      & ( ~ member(X42,X41)
        | ~ member(X42,complement(X41)) )
      & ( ~ member(X42,universal_class)
        | member(X42,X41)
        | member(X42,complement(X41)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[complement])])])]) ).

cnf(c_0_16,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( member(esk6_1(X1),X1)
    | X1 = null_class ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,negated_conjecture,
    ( X1 = X2
    | ~ member(X1,esk8_0)
    | ~ member(X2,intersection(complement(singleton(X1)),esk8_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19,plain,
    singleton(X1) = unordered_pair(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20,plain,
    ( ~ member(X1,X2)
    | ~ member(X1,complement(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,plain,
    ( intersection(X1,X2) = null_class
    | member(esk6_1(intersection(X1,X2)),X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_22,negated_conjecture,
    ( X1 = X2
    | ~ member(X1,esk8_0)
    | ~ member(X2,intersection(complement(unordered_pair(X1,X1)),esk8_0)) ),
    inference(rw,[status(thm)],[c_0_18,c_0_19]) ).

fof(c_0_23,plain,
    ! [X19,X20,X21] :
      ( ( member(X19,universal_class)
        | ~ member(X19,unordered_pair(X20,X21)) )
      & ( X19 = X20
        | X19 = X21
        | ~ member(X19,unordered_pair(X20,X21)) )
      & ( X19 != X20
        | ~ member(X19,universal_class)
        | member(X19,unordered_pair(X20,X21)) )
      & ( X19 != X21
        | ~ member(X19,universal_class)
        | member(X19,unordered_pair(X20,X21)) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])]) ).

fof(c_0_24,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( ~ subclass(X10,X11)
        | ~ member(X12,X10)
        | member(X12,X11) )
      & ( member(esk1_2(X13,X14),X13)
        | subclass(X13,X14) )
      & ( ~ member(esk1_2(X13,X14),X14)
        | subclass(X13,X14) ) ),
    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)],[subclass_defn])])])])])]) ).

fof(c_0_25,plain,
    ! [X16] : subclass(X16,universal_class),
    inference(variable_rename,[status(thm)],[class_elements_are_sets]) ).

cnf(c_0_26,plain,
    ( intersection(complement(X1),X2) = null_class
    | ~ member(esk6_1(intersection(complement(X1),X2)),X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_27,negated_conjecture,
    ( esk6_1(intersection(complement(unordered_pair(X1,X1)),esk8_0)) = X1
    | intersection(complement(unordered_pair(X1,X1)),esk8_0) = null_class
    | ~ member(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_17]) ).

cnf(c_0_28,plain,
    ( member(X1,unordered_pair(X3,X2))
    | X1 != X2
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    ( member(X3,X2)
    | ~ subclass(X1,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    subclass(X1,universal_class),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ( intersection(complement(unordered_pair(X1,X1)),esk8_0) = null_class
    | ~ member(X1,unordered_pair(X1,X1))
    | ~ member(X1,esk8_0) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_32,plain,
    ( member(X1,unordered_pair(X2,X1))
    | ~ member(X1,universal_class) ),
    inference(er,[status(thm)],[c_0_28]) ).

cnf(c_0_33,plain,
    ( member(X1,universal_class)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

fof(c_0_34,plain,
    ! [X46] : ~ member(X46,null_class),
    inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[null_class_defn])]) ).

cnf(c_0_35,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X2)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_36,negated_conjecture,
    ( intersection(complement(unordered_pair(X1,X1)),esk8_0) = null_class
    | ~ member(X1,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]) ).

cnf(c_0_37,plain,
    ~ member(X1,null_class),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ member(X1,complement(unordered_pair(X2,X2)))
    | ~ member(X1,esk8_0)
    | ~ member(X2,esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]) ).

cnf(c_0_39,plain,
    ( member(X1,X2)
    | member(X1,complement(X2))
    | ~ member(X1,universal_class) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_40,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_41,negated_conjecture,
    ( member(X1,unordered_pair(X2,X2))
    | ~ member(X1,esk8_0)
    | ~ member(X2,esk8_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_33]) ).

cnf(c_0_42,plain,
    ( subclass(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_43,negated_conjecture,
    ( X1 = X2
    | ~ member(X1,esk8_0)
    | ~ member(X2,esk8_0) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    esk8_0 != null_class,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_45,plain,
    ( subclass(X1,intersection(X2,X3))
    | ~ member(esk1_2(X1,intersection(X2,X3)),X3)
    | ~ member(esk1_2(X1,intersection(X2,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_35]) ).

cnf(c_0_46,plain,
    ( member(esk1_2(X1,X2),X1)
    | subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_47,negated_conjecture,
    ( esk6_1(esk8_0) = X1
    | ~ member(X1,esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_17]),c_0_44]) ).

cnf(c_0_48,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_49,plain,
    ( subclass(X1,intersection(X2,X1))
    | ~ member(esk1_2(X1,intersection(X2,X1)),X2) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_50,negated_conjecture,
    ( esk1_2(esk8_0,X1) = esk6_1(esk8_0)
    | subclass(esk8_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_51,plain,
    ( intersection(X1,X2) = null_class
    | member(esk6_1(intersection(X1,X2)),X2) ),
    inference(spm,[status(thm)],[c_0_48,c_0_17]) ).

cnf(c_0_52,negated_conjecture,
    ( esk6_1(intersection(esk8_0,X1)) = esk6_1(esk8_0)
    | intersection(esk8_0,X1) = null_class ),
    inference(spm,[status(thm)],[c_0_47,c_0_21]) ).

fof(c_0_53,plain,
    ! [X17,X18] :
      ( ( subclass(X17,X18)
        | X17 != X18 )
      & ( subclass(X18,X17)
        | X17 != X18 )
      & ( ~ subclass(X17,X18)
        | ~ subclass(X18,X17)
        | X17 = X18 ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])]) ).

cnf(c_0_54,negated_conjecture,
    ( subclass(esk8_0,intersection(X1,esk8_0))
    | ~ member(esk6_1(esk8_0),X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ( intersection(esk8_0,X1) = null_class
    | member(esk6_1(esk8_0),X1) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_56,plain,
    ( member(esk1_2(intersection(X1,X2),X3),X2)
    | subclass(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_48,c_0_46]) ).

cnf(c_0_57,plain,
    ( X1 = X2
    | ~ subclass(X1,X2)
    | ~ subclass(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_58,negated_conjecture,
    ( intersection(esk8_0,X1) = null_class
    | subclass(esk8_0,intersection(X1,esk8_0)) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_59,plain,
    subclass(intersection(X1,X2),X2),
    inference(spm,[status(thm)],[c_0_42,c_0_56]) ).

cnf(c_0_60,plain,
    ( member(esk1_2(intersection(X1,X2),X3),X1)
    | subclass(intersection(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_16,c_0_46]) ).

cnf(c_0_61,negated_conjecture,
    ( intersection(esk8_0,X1) = null_class
    | member(esk6_1(esk8_0),esk8_0) ),
    inference(spm,[status(thm)],[c_0_21,c_0_52]) ).

cnf(c_0_62,negated_conjecture,
    ( intersection(esk8_0,X1) = null_class
    | intersection(X1,esk8_0) = esk8_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_59])]) ).

cnf(c_0_63,plain,
    subclass(X1,intersection(X1,X1)),
    inference(spm,[status(thm)],[c_0_49,c_0_46]) ).

cnf(c_0_64,plain,
    subclass(intersection(X1,X2),X1),
    inference(spm,[status(thm)],[c_0_42,c_0_60]) ).

cnf(c_0_65,negated_conjecture,
    ( member(esk6_1(esk8_0),esk8_0)
    | ~ member(X1,esk8_0)
    | ~ member(X1,X2) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_61]),c_0_37]) ).

cnf(c_0_66,negated_conjecture,
    ( intersection(X1,esk8_0) = esk8_0
    | ~ member(X2,esk8_0)
    | ~ member(X2,X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_62]),c_0_37]) ).

cnf(c_0_67,plain,
    intersection(X1,X1) = X1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_63]),c_0_64])]) ).

cnf(c_0_68,negated_conjecture,
    ( member(esk6_1(esk8_0),esk8_0)
    | ~ member(esk6_1(esk8_0),X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_17]),c_0_44]) ).

cnf(c_0_69,plain,
    ( member(esk6_1(X1),universal_class)
    | X1 = null_class ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_70,plain,
    ( esk1_2(unordered_pair(X1,X2),X3) = X1
    | esk1_2(unordered_pair(X1,X2),X3) = X2
    | subclass(unordered_pair(X1,X2),X3) ),
    inference(spm,[status(thm)],[c_0_40,c_0_46]) ).

cnf(c_0_71,negated_conjecture,
    ( intersection(X1,esk8_0) = esk8_0
    | ~ member(esk6_1(esk8_0),X1) ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_55]),c_0_67]),c_0_44]) ).

cnf(c_0_72,negated_conjecture,
    member(esk6_1(esk8_0),esk8_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_44]) ).

cnf(c_0_73,negated_conjecture,
    singleton(X1) != esk8_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_74,plain,
    ( esk1_2(unordered_pair(X1,X1),X2) = X1
    | subclass(unordered_pair(X1,X1),X2) ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_70])]) ).

cnf(c_0_75,plain,
    ( intersection(X1,X2) = X1
    | ~ subclass(X1,intersection(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_57,c_0_64]) ).

cnf(c_0_76,negated_conjecture,
    ( intersection(unordered_pair(X1,X1),esk8_0) = esk8_0
    | ~ member(X1,esk8_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_41]),c_0_72])]) ).

cnf(c_0_77,negated_conjecture,
    unordered_pair(X1,X1) != esk8_0,
    inference(rw,[status(thm)],[c_0_73,c_0_19]) ).

cnf(c_0_78,plain,
    ( subclass(unordered_pair(X1,X1),X2)
    | ~ member(X1,X2) ),
    inference(spm,[status(thm)],[c_0_42,c_0_74]) ).

cnf(c_0_79,negated_conjecture,
    ~ member(X1,esk8_0),
    inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]),c_0_78]) ).

cnf(c_0_80,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_72,c_0_79]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SET099+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul 10 16:15:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  # ENIGMATIC: Selected SinE mode:
% 0.18/0.44  # Parsing /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44  # Filter: axfilter_auto   0 goes into file theBenchmark_axfilter_auto   0.p
% 0.18/0.44  # Filter: axfilter_auto   1 goes into file theBenchmark_axfilter_auto   1.p
% 0.18/0.44  # Filter: axfilter_auto   2 goes into file theBenchmark_axfilter_auto   2.p
% 13.73/3.11  # ENIGMATIC: Solved by autoschedule:
% 13.73/3.11  # No SInE strategy applied
% 13.73/3.11  # Trying AutoSched0 for 150 seconds
% 13.73/3.11  # AutoSched0-Mode selected heuristic G_E___042_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 13.73/3.11  # and selection function SelectMaxLComplexAvoidPosPred.
% 13.73/3.11  #
% 13.73/3.11  # Preprocessing time       : 0.029 s
% 13.73/3.11  # Presaturation interreduction done
% 13.73/3.11  
% 13.73/3.11  # Proof found!
% 13.73/3.11  # SZS status Theorem
% 13.73/3.11  # SZS output start CNFRefutation
% See solution above
% 13.73/3.11  # Training examples: 0 positive, 0 negative
% 13.73/3.11  
% 13.73/3.11  # -------------------------------------------------
% 13.73/3.11  # User time                : 0.829 s
% 13.73/3.11  # System time              : 0.031 s
% 13.73/3.11  # Total time               : 0.860 s
% 13.73/3.11  # Maximum resident set size: 7116 pages
% 13.73/3.11  
%------------------------------------------------------------------------------