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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SET098+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:13:34 PM UTC 2026

% Result   : Theorem 49.33s 7.55s
% Output   : CNFRefutation 49.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   74 (  22 unt;   0 def)
%            Number of atoms       :  198 (  42 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  204 (  80   ~;  83   |;  31   &)
%                                         (   7 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :  137 (  18 sgn  56   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(corollary_1_to_number_of_elements_in_class,conjecture,
    ! [X1] :
      ( ? [X4] :
          ( ? [X7] :
              ( member(X7,X1)
              & member(X7,intersection(complement(singleton(X4)),X1)) )
          & member(X4,X1) )
      | ? [X2] : singleton(X2) = X1
      | X1 = null_class ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary_1_to_number_of_elements_in_class) ).

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

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

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

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

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

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

fof(unordered_pair,axiom,
    ! [X1,X2] : member(unordered_pair(X1,X2),universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET005+0.ax',unordered_pair) ).

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

fof(c_0_12,negated_conjecture,
    ~ ! [X1] :
        ( ? [X4] :
            ( ? [X7] :
                ( member(X7,X1)
                & member(X7,intersection(complement(singleton(X4)),X1)) )
            & member(X4,X1) )
        | ? [X2] : singleton(X2) = X1
        | X1 = null_class ),
    inference(assume_negation,[status(cth)],[corollary_1_to_number_of_elements_in_class]) ).

fof(c_0_13,negated_conjecture,
    ! [X108,X109,X110] :
      ( ( ~ member(X110,esk8_0)
        | ~ member(X110,intersection(complement(singleton(X109)),esk8_0))
        | ~ member(X109,esk8_0) )
      & singleton(X108) != esk8_0
      & esk8_0 != null_class ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

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

cnf(c_0_15,negated_conjecture,
    ( ~ member(X2,esk8_0)
    | ~ member(X2,intersection(complement(singleton(X1)),esk8_0))
    | ~ member(X1,esk8_0) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_16,plain,
    singleton(X1) = unordered_pair(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_17,plain,
    ! [X38,X39,X40] :
      ( ( member(X40,intersection(X38,X39))
        | ~ member(X40,X39)
        | ~ member(X40,X38) )
      & ( ~ member(X40,intersection(X38,X39))
        | member(X40,X39) )
      & ( ~ member(X40,intersection(X38,X39))
        | member(X40,X38) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[intersection])])])]) ).

fof(c_0_18,plain,
    ! [X1,X5] :
      ( member(X5,complement(X1))
    <=> ( ~ member(X5,X1)
        & member(X5,universal_class) ) ),
    inference(fof_simplification,[status(thm)],[complement]) ).

fof(c_0_19,plain,
    ! [X10,X11,X12,X13,X14] :
      ( ( subclass(X13,X14)
        | ~ member(esk1_2(X13,X14),X14) )
      & ( subclass(X13,X14)
        | member(esk1_2(X13,X14),X13) )
      & ( member(X12,X11)
        | ~ member(X12,X10)
        | ~ subclass(X10,X11) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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_20,plain,
    ! [X16] : subclass(X16,universal_class),
    inference(variable_rename,[status(thm)],[class_elements_are_sets]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ member(X2,intersection(complement(unordered_pair(X1,X1)),esk8_0))
    | ~ member(X1,esk8_0)
    | ~ member(X2,esk8_0) ),
    inference(rw,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_22,plain,
    ( ~ member(X1,X3)
    | ~ member(X1,X2)
    | member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

fof(c_0_23,plain,
    ! [X41,X42] :
      ( ( member(X42,complement(X41))
        | member(X42,X41)
        | ~ member(X42,universal_class) )
      & ( ~ member(X42,complement(X41))
        | ~ member(X42,X41) )
      & ( ~ member(X42,complement(X41))
        | member(X42,universal_class) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).

cnf(c_0_24,plain,
    ( ~ member(X3,X1)
    | ~ subclass(X1,X2)
    | member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    subclass(X1,universal_class),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_26,plain,
    ! [X1] :
      ( X1 != null_class
     => ? [X3] :
          ( disjoint(X3,X1)
          & member(X3,X1)
          & member(X3,universal_class) ) ),
    inference(fof_simplification,[status(thm)],[regularity]) ).

cnf(c_0_27,negated_conjecture,
    ( ~ member(X2,esk8_0)
    | ~ member(X1,esk8_0)
    | ~ member(X1,complement(unordered_pair(X2,X2))) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

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

cnf(c_0_29,plain,
    ( ~ member(X1,X2)
    | member(X1,universal_class) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

fof(c_0_30,plain,
    ! [X101] :
      ( ( X101 = null_class
        | disjoint(esk6_1(X101),X101) )
      & ( X101 = null_class
        | member(esk6_1(X101),X101) )
      & ( X101 = null_class
        | member(esk6_1(X101),universal_class) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])])])]) ).

fof(c_0_31,plain,
    ! [X19,X20,X21] :
      ( ( member(X19,unordered_pair(X20,X21))
        | ~ member(X19,universal_class)
        | X19 != X21 )
      & ( member(X19,unordered_pair(X20,X21))
        | ~ member(X19,universal_class)
        | X19 != X20 )
      & ( ~ member(X19,unordered_pair(X20,X21))
        | X19 = X21
        | X19 = X20 )
      & ( ~ member(X19,unordered_pair(X20,X21))
        | member(X19,universal_class) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[unordered_pair_defn])])])]) ).

cnf(c_0_32,negated_conjecture,
    ( ~ member(X2,esk8_0)
    | ~ member(X1,esk8_0)
    | member(X1,unordered_pair(X2,X2)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).

cnf(c_0_33,plain,
    ( X1 = null_class
    | member(esk6_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    esk8_0 != null_class,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_35,plain,
    ( ~ member(X1,unordered_pair(X2,X3))
    | X1 = X3
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ member(X1,esk8_0)
    | member(esk6_1(esk8_0),unordered_pair(X1,X1)) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]) ).

cnf(c_0_37,plain,
    ( ~ member(X1,intersection(X3,X2))
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_38,negated_conjecture,
    ( ~ member(X1,esk8_0)
    | esk6_1(esk8_0) = X1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,plain,
    ( member(esk6_1(intersection(X1,X2)),X2)
    | intersection(X1,X2) = null_class ),
    inference(spm,[status(thm)],[c_0_37,c_0_33]) ).

fof(c_0_40,plain,
    ! [X1] : ~ member(X1,null_class),
    inference(fof_simplification,[status(thm)],[null_class_defn]) ).

fof(c_0_41,plain,
    ! [X72,X73,X75,X76,X77] :
      ( ( member(X75,sum_class(X76))
        | ~ member(X77,X76)
        | ~ member(X75,X77) )
      & ( ~ member(X72,sum_class(X73))
        | member(esk3_2(X72,X73),X73) )
      & ( ~ member(X72,sum_class(X73))
        | member(X72,esk3_2(X72,X73)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[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)],[sum_class_defn])])])])])])]) ).

fof(c_0_42,plain,
    ! [X22,X23] : member(unordered_pair(X22,X23),universal_class),
    inference(variable_rename,[status(thm)],[unordered_pair]) ).

cnf(c_0_43,plain,
    ( subclass(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_44,plain,
    ( ~ member(X1,universal_class)
    | X1 != X2
    | member(X1,unordered_pair(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_45,negated_conjecture,
    ( ~ member(X1,esk8_0)
    | member(esk6_1(esk8_0),universal_class) ),
    inference(spm,[status(thm)],[c_0_29,c_0_36]) ).

cnf(c_0_46,negated_conjecture,
    ( intersection(X1,esk8_0) = null_class
    | esk6_1(intersection(X1,esk8_0)) = esk6_1(esk8_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

fof(c_0_47,plain,
    ! [X46] : ~ member(X46,null_class),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).

cnf(c_0_48,plain,
    ( ~ member(X2,X3)
    | ~ member(X1,X2)
    | member(X1,sum_class(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_49,plain,
    member(unordered_pair(X1,X2),universal_class),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    ( ~ member(esk1_2(X1,X2),X2)
    | subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_51,negated_conjecture,
    ( subclass(esk8_0,X1)
    | esk1_2(esk8_0,X1) = esk6_1(esk8_0) ),
    inference(spm,[status(thm)],[c_0_38,c_0_43]) ).

cnf(c_0_52,plain,
    ( ~ member(X1,universal_class)
    | member(X1,unordered_pair(X1,X2)) ),
    inference(er,[status(thm)],[c_0_44]) ).

cnf(c_0_53,negated_conjecture,
    member(esk6_1(esk8_0),universal_class),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_33]),c_0_34]) ).

cnf(c_0_54,negated_conjecture,
    ( member(esk6_1(esk8_0),esk8_0)
    | intersection(X1,esk8_0) = null_class ),
    inference(spm,[status(thm)],[c_0_39,c_0_46]) ).

cnf(c_0_55,plain,
    ~ member(X1,null_class),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_56,plain,
    ( ~ member(X1,unordered_pair(X2,X3))
    | member(X1,sum_class(universal_class)) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

fof(c_0_57,plain,
    ! [X17,X18] :
      ( ( X17 = X18
        | ~ subclass(X18,X17)
        | ~ subclass(X17,X18) )
      & ( X17 != X18
        | subclass(X18,X17) )
      & ( X17 != X18
        | subclass(X17,X18) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[extensionality])])])]) ).

cnf(c_0_58,negated_conjecture,
    ( ~ member(esk6_1(esk8_0),X1)
    | subclass(esk8_0,X1) ),
    inference(spm,[status(thm)],[c_0_50,c_0_51]) ).

cnf(c_0_59,negated_conjecture,
    member(esk6_1(esk8_0),unordered_pair(esk6_1(esk8_0),X1)),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    ( subclass(unordered_pair(X1,X2),X3)
    | esk1_2(unordered_pair(X1,X2),X3) = X2
    | esk1_2(unordered_pair(X1,X2),X3) = X1 ),
    inference(spm,[status(thm)],[c_0_35,c_0_43]) ).

cnf(c_0_61,negated_conjecture,
    ( ~ member(X1,X2)
    | ~ member(X1,esk8_0)
    | member(esk6_1(esk8_0),esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_54]),c_0_55]) ).

cnf(c_0_62,negated_conjecture,
    ( ~ member(X1,esk8_0)
    | member(esk6_1(esk8_0),sum_class(universal_class)) ),
    inference(spm,[status(thm)],[c_0_56,c_0_36]) ).

cnf(c_0_63,plain,
    ( ~ subclass(X2,X1)
    | ~ subclass(X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_64,negated_conjecture,
    subclass(esk8_0,unordered_pair(esk6_1(esk8_0),X1)),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,plain,
    ( subclass(unordered_pair(X1,X1),X2)
    | esk1_2(unordered_pair(X1,X1),X2) = X1 ),
    inference(er,[status(thm)],[inference(ef,[status(thm)],[c_0_60])]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ member(esk6_1(esk8_0),X1)
    | member(esk6_1(esk8_0),esk8_0) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_33]),c_0_34]) ).

cnf(c_0_67,negated_conjecture,
    member(esk6_1(esk8_0),sum_class(universal_class)),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_33]),c_0_34]) ).

cnf(c_0_68,negated_conjecture,
    singleton(X1) != esk8_0,
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_69,negated_conjecture,
    ( ~ subclass(unordered_pair(esk6_1(esk8_0),X1),esk8_0)
    | unordered_pair(esk6_1(esk8_0),X1) = esk8_0 ),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_70,plain,
    ( ~ member(X1,X2)
    | subclass(unordered_pair(X1,X1),X2) ),
    inference(spm,[status(thm)],[c_0_50,c_0_65]) ).

cnf(c_0_71,negated_conjecture,
    member(esk6_1(esk8_0),esk8_0),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_72,negated_conjecture,
    unordered_pair(X1,X1) != esk8_0,
    inference(rw,[status(thm)],[c_0_68,c_0_16]) ).

cnf(c_0_73,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71])]),c_0_72]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SET098+1 : TPTP v9.3.1. Bugfixed v5.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.35  % Computer : n003.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.36  % CPULimit : 300
% 0.09/0.36  % WCLimit  : 300
% 0.09/0.36  % DateTime : Mon Sep 21 04:54:15 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 49.33/7.55  % Version: 3.5.1
% 49.33/7.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 49.33/7.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.33/7.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.33/7.55  % Starting new_bool_3 with 300s (1) cores
% 49.33/7.55  % Starting new_bool_1 with 300s (1) cores
% 49.33/7.55  % Starting sh5l with 300s (1) cores
% 49.33/7.55  % G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 3451300 completed with status 0
% 49.33/7.55  % Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 49.33/7.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 49.33/7.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.33/7.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.33/7.55  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 49.33/7.55  % No SInE strategy applied
% 49.33/7.55  % Search class: FGHSM-FFMS21-DFFFFFNN
% 49.33/7.55  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 49.33/7.55  % Starting SubtermCWHack with 136s (1) cores
% 49.33/7.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 49.33/7.55  % Starting sh3 with 271s (1) cores
% 49.33/7.55  % Starting ho_unfolding_3 with 271s (1) cores
% 49.33/7.55  % Starting new_ho_10_cnf2 with 271s (1) cores
% 49.33/7.55  % sh3 with pid 3451309 completed with status 0
% 49.33/7.55  % Result found by sh3
% 49.33/7.55  % Preprocessing class: FSMSSMSSSSSNFFN.
% 49.33/7.55  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 49.33/7.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 49.33/7.55  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 49.33/7.55  % No SInE strategy applied
% 49.33/7.55  % Search class: FGHSM-FFMS21-DFFFFFNN
% 49.33/7.55  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 49.33/7.55  % Starting SubtermCWHack with 136s (1) cores
% 49.33/7.55  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 49.33/7.55  % Starting sh3 with 271s (1) cores
% 49.33/7.55  % Preprocessing time       : 0.004 s
% 49.33/7.55  % Presaturation interreduction done
% 49.33/7.55  
% 49.33/7.55  % Proof found!
% 49.33/7.55  % SZS status Theorem
% 49.33/7.55  % SZS output start CNFRefutation
% See solution above
% 49.33/7.55  % Parsed axioms                        : 44
% 49.33/7.55  % Removed by relevancy pruning/SinE    : 0
% 49.33/7.55  % Initial clauses                      : 92
% 49.33/7.55  % Removed in clause preprocessing      : 8
% 49.33/7.55  % Initial clauses in saturation        : 84
% 49.33/7.55  % Processed clauses                    : 19170
% 49.33/7.55  % ...of these trivial                  : 109
% 49.33/7.55  % ...subsumed                          : 15948
% 49.33/7.55  % ...remaining for further processing  : 3113
% 49.33/7.55  % Other redundant clauses eliminated   : 64
% 49.33/7.55  % Clauses deleted for lack of memory   : 0
% 49.33/7.55  % Backward-subsumed                    : 398
% 49.33/7.55  % Backward-rewritten                   : 203
% 49.33/7.55  % Generated clauses                    : 197745
% 49.33/7.55  % ...of the previous two non-redundant : 171202
% 49.33/7.55  % ...aggressively subsumed             : 0
% 49.33/7.55  % Contextual simplify-reflections      : 55
% 49.33/7.55  % Paramodulations                      : 197436
% 49.33/7.55  % Factorizations                       : 245
% 49.33/7.55  % NegExts                              : 0
% 49.33/7.55  % Equation resolutions                 : 64
% 49.33/7.55  % Disequality decompositions           : 0
% 49.33/7.55  % Total rewrite steps                  : 103132
% 49.33/7.55  % ...of those cached                   : 101546
% 49.33/7.55  % Propositional unsat checks           : 0
% 49.33/7.55  %    Propositional check models        : 0
% 49.33/7.55  %    Propositional check unsatisfiable : 0
% 49.33/7.55  %    Propositional clauses             : 0
% 49.33/7.55  %    Propositional clauses after purity: 0
% 49.33/7.55  %    Propositional unsat core size     : 0
% 49.33/7.55  %    Propositional preprocessing time  : 0.000
% 49.33/7.55  %    Propositional encoding time       : 0.000
% 49.33/7.55  %    Propositional solver time         : 0.000
% 49.33/7.55  %    Success case prop preproc time    : 0.000
% 49.33/7.55  %    Success case prop encoding time   : 0.000
% 49.33/7.55  %    Success case prop solver time     : 0.000
% 49.33/7.55  % Current number of processed clauses  : 2423
% 49.33/7.55  %    Positive orientable unit clauses  : 158
% 49.33/7.55  %    Positive unorientable unit clauses: 0
% 49.33/7.55  %    Negative unit clauses             : 32
% 49.33/7.55  %    Non-unit-clauses                  : 2233
% 49.33/7.55  % Current number of unprocessed clauses: 150425
% 49.33/7.55  % ...number of literals in the above   : 537888
% 49.33/7.55  % Current number of archived formulas  : 0
% 49.33/7.55  % Current number of archived clauses   : 692
% 49.33/7.55  % Clause-clause subsumption calls (NU) : 867126
% 49.33/7.55  % Rec. Clause-clause subsumption calls : 536991
% 49.33/7.55  % Non-unit clause-clause subsumptions  : 5184
% 49.33/7.55  % Unit Clause-clause subsumption calls : 50331
% 49.33/7.55  % Rewrite failures with RHS unbound    : 0
% 49.33/7.55  % BW rewrite match attempts            : 248
% 49.33/7.55  % BW rewrite match successes           : 50
% 49.33/7.55  % Condensation attempts                : 0
% 49.33/7.55  % Condensation successes               : 0
% 49.33/7.55  % Termbank termtop insertions          : 3700883
% 49.33/7.55  % Search garbage collected termcells   : 1022
% 49.33/7.55  
% 49.33/7.55  % -------------------------------------------------
% 49.33/7.55  % User time                : 6.787 s
% 49.33/7.55  % System time              : 0.203 s
% 49.33/7.55  % Total time               : 6.990 s
% 49.33/7.55  % Maximum resident set size: 3948 pages
% 49.33/7.55  
% 49.33/7.55  % -------------------------------------------------
% 49.33/7.55  % User time                : 33.495 s
% 49.33/7.55  % System time              : 1.042 s
% 49.33/7.55  % Total time               : 34.537 s
% 49.33/7.55  % Maximum resident set size: 4864 pages
% 49.33/7.55  % E exiting
%------------------------------------------------------------------------------