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iProverMo---2.5-0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n027.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 02:14:47 EDT 2022

% Result   : Theorem 0.56s 0.89s
% Output   : CNFRefutation 0.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  164 (  61 unt;   0 def)
%            Number of atoms       :  359 (  98 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  342 ( 147   ~; 160   |;  19   &)
%                                         (  14 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-2 aty)
%            Number of variables   :  399 (  24 sgn 124   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ! [X3] :
          ( member(X3,X1)
        <=> member(X3,X2) ) ),
    file('<stdin>',equal_member_defn) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3] : difference(X1,difference(X2,X3)) = union(difference(X1,X2),intersection(X1,X3)),
    file('<stdin>',difference_difference_union2) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('<stdin>',union_defn) ).

fof(c_0_3,axiom,
    ! [X1,X2,X3] :
      ( member(X3,difference(X1,X2))
    <=> ( member(X3,X1)
        & ~ member(X3,X2) ) ),
    file('<stdin>',difference_defn) ).

fof(c_0_4,axiom,
    ! [X1,X2,X3] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('<stdin>',intersection_defn) ).

fof(c_0_5,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
    file('<stdin>',symmetric_difference_defn) ).

fof(c_0_6,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = difference(union(X1,X2),intersection(X1,X2)),
    file('<stdin>',symmetric_difference_and_difference) ).

fof(c_0_7,axiom,
    ! [X1,X2,X3] : intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    file('<stdin>',associativity_of_intersection) ).

fof(c_0_8,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('<stdin>',subset_defn) ).

fof(c_0_9,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('<stdin>',equal_defn) ).

fof(c_0_10,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = symmetric_difference(X2,X1),
    file('<stdin>',commutativity_of_symmetric_difference) ).

fof(c_0_11,axiom,
    ! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
    file('<stdin>',commutativity_of_intersection) ).

fof(c_0_12,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    file('<stdin>',commutativity_of_union) ).

fof(c_0_13,axiom,
    ! [X1] : subset(X1,X1),
    file('<stdin>',reflexivity_of_subset) ).

fof(c_0_14,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ! [X3] :
          ( member(X3,X1)
        <=> member(X3,X2) ) ),
    c_0_0 ).

fof(c_0_15,axiom,
    ! [X1,X2,X3] : difference(X1,difference(X2,X3)) = union(difference(X1,X2),intersection(X1,X3)),
    c_0_1 ).

fof(c_0_16,axiom,
    ! [X1,X2,X3] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    c_0_2 ).

fof(c_0_17,plain,
    ! [X1,X2,X3] :
      ( member(X3,difference(X1,X2))
    <=> ( member(X3,X1)
        & ~ member(X3,X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_18,axiom,
    ! [X1,X2,X3] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    c_0_4 ).

fof(c_0_19,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
    c_0_5 ).

fof(c_0_20,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = difference(union(X1,X2),intersection(X1,X2)),
    c_0_6 ).

fof(c_0_21,axiom,
    ! [X1,X2,X3] : intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    c_0_7 ).

fof(c_0_22,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    c_0_8 ).

fof(c_0_23,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    c_0_9 ).

fof(c_0_24,axiom,
    ! [X1,X2] : symmetric_difference(X1,X2) = symmetric_difference(X2,X1),
    c_0_10 ).

fof(c_0_25,axiom,
    ! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
    c_0_11 ).

fof(c_0_26,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    c_0_12 ).

fof(c_0_27,axiom,
    ! [X1] : subset(X1,X1),
    c_0_13 ).

fof(c_0_28,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X6,X4)
        | member(X6,X5)
        | X4 != X5 )
      & ( ~ member(X7,X5)
        | member(X7,X4)
        | X4 != X5 )
      & ( ~ member(esk1_2(X8,X9),X8)
        | ~ member(esk1_2(X8,X9),X9)
        | X8 = X9 )
      & ( member(esk1_2(X8,X9),X8)
        | member(esk1_2(X8,X9),X9)
        | X8 = X9 ) ),
    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)],[c_0_14])])])])])]) ).

fof(c_0_29,plain,
    ! [X4,X5,X6] : difference(X4,difference(X5,X6)) = union(difference(X4,X5),intersection(X4,X6)),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X6,union(X4,X5))
        | member(X6,X4)
        | member(X6,X5) )
      & ( ~ member(X9,X7)
        | member(X9,union(X7,X8)) )
      & ( ~ member(X9,X8)
        | member(X9,union(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( member(X6,X4)
        | ~ member(X6,difference(X4,X5)) )
      & ( ~ member(X6,X5)
        | ~ member(X6,difference(X4,X5)) )
      & ( ~ member(X9,X7)
        | member(X9,X8)
        | member(X9,difference(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).

fof(c_0_32,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( member(X6,X4)
        | ~ member(X6,intersection(X4,X5)) )
      & ( member(X6,X5)
        | ~ member(X6,intersection(X4,X5)) )
      & ( ~ member(X9,X7)
        | ~ member(X9,X8)
        | member(X9,intersection(X7,X8)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).

fof(c_0_33,plain,
    ! [X3,X4] : symmetric_difference(X3,X4) = union(difference(X3,X4),difference(X4,X3)),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_34,plain,
    ! [X3,X4] : symmetric_difference(X3,X4) = difference(union(X3,X4),intersection(X3,X4)),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_35,plain,
    ! [X4,X5,X6] : intersection(intersection(X4,X5),X6) = intersection(X4,intersection(X5,X6)),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_36,plain,
    ! [X4,X5,X6,X7,X8] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk2_2(X7,X8),X7)
        | subset(X7,X8) )
      & ( ~ member(esk2_2(X7,X8),X8)
        | subset(X7,X8) ) ),
    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)],[c_0_22])])])])])]) ).

fof(c_0_37,plain,
    ! [X3,X4,X5,X6] :
      ( ( subset(X3,X4)
        | X3 != X4 )
      & ( subset(X4,X3)
        | X3 != X4 )
      & ( ~ subset(X5,X6)
        | ~ subset(X6,X5)
        | X5 = X6 ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])])]) ).

fof(c_0_38,plain,
    ! [X3,X4] : symmetric_difference(X3,X4) = symmetric_difference(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_39,plain,
    ! [X3,X4] : intersection(X3,X4) = intersection(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_40,plain,
    ! [X3,X4] : union(X3,X4) = union(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_41,plain,
    ! [X2] : subset(X2,X2),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

cnf(c_0_42,plain,
    ( X1 = X2
    | ~ member(esk1_2(X1,X2),X2)
    | ~ member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_43,plain,
    difference(X1,difference(X2,X3)) = union(difference(X1,X2),intersection(X1,X3)),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_44,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_45,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_46,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_47,plain,
    ( X1 = X2
    | member(esk1_2(X1,X2),X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_48,plain,
    symmetric_difference(X1,X2) = union(difference(X1,X2),difference(X2,X1)),
    inference(split_conjunct,[status(thm)],[c_0_33]) ).

cnf(c_0_49,plain,
    symmetric_difference(X1,X2) = difference(union(X1,X2),intersection(X1,X2)),
    inference(split_conjunct,[status(thm)],[c_0_34]) ).

cnf(c_0_50,plain,
    intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_51,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_52,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_53,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_54,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_55,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_56,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_57,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_58,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_59,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_60,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_61,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_62,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_63,plain,
    symmetric_difference(X1,X2) = symmetric_difference(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_64,plain,
    intersection(X1,X2) = intersection(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_65,plain,
    union(X1,X2) = union(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_66,plain,
    ( subset(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_67,plain,
    ( subset(X2,X1)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_68,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_69,plain,
    ( X1 = X2
    | ~ member(esk1_2(X1,X2),X2)
    | ~ member(esk1_2(X1,X2),X1) ),
    c_0_42,
    [final] ).

cnf(c_0_70,plain,
    union(difference(X1,X2),intersection(X1,X3)) = difference(X1,difference(X2,X3)),
    c_0_43,
    [final] ).

cnf(c_0_71,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    c_0_44,
    [final] ).

cnf(c_0_72,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    c_0_45,
    [final] ).

cnf(c_0_73,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_46,
    [final] ).

cnf(c_0_74,plain,
    ( X1 = X2
    | member(esk1_2(X1,X2),X2)
    | member(esk1_2(X1,X2),X1) ),
    c_0_47,
    [final] ).

cnf(c_0_75,plain,
    union(difference(X1,X2),difference(X2,X1)) = symmetric_difference(X1,X2),
    c_0_48,
    [final] ).

cnf(c_0_76,plain,
    difference(union(X1,X2),intersection(X1,X2)) = symmetric_difference(X1,X2),
    c_0_49,
    [final] ).

cnf(c_0_77,plain,
    intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    c_0_50,
    [final] ).

cnf(c_0_78,plain,
    ( subset(X1,X2)
    | ~ member(esk2_2(X1,X2),X2) ),
    c_0_51,
    [final] ).

cnf(c_0_79,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    c_0_52,
    [final] ).

cnf(c_0_80,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_53,
    [final] ).

cnf(c_0_81,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_54,
    [final] ).

cnf(c_0_82,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_55,
    [final] ).

cnf(c_0_83,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    c_0_56,
    [final] ).

cnf(c_0_84,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    c_0_57,
    [final] ).

cnf(c_0_85,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    c_0_58,
    [final] ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | member(esk2_2(X1,X2),X1) ),
    c_0_59,
    [final] ).

cnf(c_0_87,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    c_0_60,
    [final] ).

cnf(c_0_88,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    c_0_61,
    [final] ).

cnf(c_0_89,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    c_0_62,
    [final] ).

cnf(c_0_90,plain,
    symmetric_difference(X1,X2) = symmetric_difference(X2,X1),
    c_0_63,
    [final] ).

cnf(c_0_91,plain,
    intersection(X1,X2) = intersection(X2,X1),
    c_0_64,
    [final] ).

cnf(c_0_92,plain,
    union(X1,X2) = union(X2,X1),
    c_0_65,
    [final] ).

cnf(c_0_93,plain,
    ( subset(X1,X2)
    | X1 != X2 ),
    c_0_66,
    [final] ).

cnf(c_0_94,plain,
    ( subset(X2,X1)
    | X1 != X2 ),
    c_0_67,
    [final] ).

cnf(c_0_95,plain,
    subset(X1,X1),
    c_0_68,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_69_0,axiom,
    ( X1 = X2
    | ~ member(sk1_esk1_2(X1,X2),X2)
    | ~ member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_1,axiom,
    ( ~ member(sk1_esk1_2(X1,X2),X2)
    | X1 = X2
    | ~ member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_2,axiom,
    ( ~ member(sk1_esk1_2(X1,X2),X1)
    | ~ member(sk1_esk1_2(X1,X2),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_71_0,axiom,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_1,axiom,
    ( member(X1,X3)
    | member(X1,X2)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_2,axiom,
    ( ~ member(X1,union(X3,X2))
    | member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_72_0,axiom,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_1,axiom,
    ( ~ member(X1,X3)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_73_0,axiom,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,intersection(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_2,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_74_0,axiom,
    ( X1 = X2
    | member(sk1_esk1_2(X1,X2),X2)
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_1,axiom,
    ( member(sk1_esk1_2(X1,X2),X2)
    | X1 = X2
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_2,axiom,
    ( member(sk1_esk1_2(X1,X2),X1)
    | member(sk1_esk1_2(X1,X2),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_78_0,axiom,
    ( subset(X1,X2)
    | ~ member(sk1_esk2_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( ~ member(sk1_esk2_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_1,axiom,
    ( ~ member(X1,difference(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_2,axiom,
    ( ~ member(X1,X2)
    | member(X1,X3)
    | member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_83_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_1,axiom,
    ( ~ member(X1,X2)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_84_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_85_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,X2)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_85_2,axiom,
    ( ~ subset(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_86_0,axiom,
    ( subset(X1,X2)
    | member(sk1_esk2_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_86_1,axiom,
    ( member(sk1_esk2_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_87_0,axiom,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_1,axiom,
    ( ~ subset(X2,X1)
    | X1 = X2
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_87_2,axiom,
    ( ~ subset(X1,X2)
    | ~ subset(X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_88_0,axiom,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_1,axiom,
    ( X1 != X2
    | member(X3,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_2,axiom,
    ( ~ member(X3,X1)
    | X1 != X2
    | member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_1,axiom,
    ( X1 != X2
    | member(X3,X1)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_2,axiom,
    ( ~ member(X3,X2)
    | X1 != X2
    | member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_93_0,axiom,
    ( subset(X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_1,axiom,
    ( X1 != X2
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_94_0,axiom,
    ( subset(X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_1,axiom,
    ( X1 != X2
    | subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_70_0,axiom,
    union(difference(X1,X2),intersection(X1,X3)) = difference(X1,difference(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_75_0,axiom,
    union(difference(X1,X2),difference(X2,X1)) = symmetric_difference(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_76_0,axiom,
    difference(union(X1,X2),intersection(X1,X2)) = symmetric_difference(X1,X2),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    intersection(intersection(X1,X2),X3) = intersection(X1,intersection(X2,X3)),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_90_0,axiom,
    symmetric_difference(X1,X2) = symmetric_difference(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

cnf(c_0_91_0,axiom,
    intersection(X1,X2) = intersection(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_92_0,axiom,
    union(X1,X2) = union(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_95_0,axiom,
    subset(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3] : difference(X1,symmetric_difference(X2,X3)) = union(difference(X1,union(X2,X3)),intersection(intersection(X1,X2),X3)),
    file('<stdin>',prove_th98) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3] : difference(X1,symmetric_difference(X2,X3)) = union(difference(X1,union(X2,X3)),intersection(intersection(X1,X2),X3)),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    difference(esk1_0,symmetric_difference(esk2_0,esk3_0)) != union(difference(esk1_0,union(esk2_0,esk3_0)),intersection(intersection(esk1_0,esk2_0),esk3_0)),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    difference(esk1_0,symmetric_difference(esk2_0,esk3_0)) != union(difference(esk1_0,union(esk2_0,esk3_0)),intersection(intersection(esk1_0,esk2_0),esk3_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    union(difference(esk1_0,union(esk2_0,esk3_0)),intersection(intersection(esk1_0,esk2_0),esk3_0)) != difference(esk1_0,symmetric_difference(esk2_0,esk3_0)),
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_55,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p',c_0_4) ).

cnf(c_76,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(copy,[status(esa)],[c_55]) ).

cnf(c_80,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(copy,[status(esa)],[c_76]) ).

cnf(c_81,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(copy,[status(esa)],[c_80]) ).

cnf(c_82,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_245,negated_conjecture,
    union(difference(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),intersection(intersection(sk2_esk1_0,sk2_esk2_0),sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_246,plain,
    difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)) != difference(sk2_esk1_0,symmetric_difference(sk2_esk2_0,sk2_esk3_0)),
    inference(rewriting,[status(thm)],[c_245]) ).

cnf(c_247,plain,
    $false,
    inference(equality_resolution_simp,[status(esa)],[c_246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET622+3 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 00:41:02 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running in mono-core mode
% 0.21/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41  % FOF problem with conjecture
% 0.21/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_39f35d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_fba94b | grep -v "SZS"
% 0.21/0.44  
% 0.21/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------  iProver source info 
% 0.21/0.44  
% 0.21/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44  % git: non_committed_changes: true
% 0.21/0.44  % git: last_make_outside_of_git: true
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.41/0.67  % --bmc1_dump_unsat_core_tptp           false
% 0.41/0.67  % --bmc1_dump_file                      -
% 0.41/0.67  % --bmc1_ucm_expand_uc_limit            128
% 0.41/0.67  % --bmc1_ucm_n_expand_iterations        6
% 0.41/0.67  % --bmc1_ucm_extend_mode                1
% 0.41/0.67  % --bmc1_ucm_init_mode                  2
% 0.41/0.67  % --bmc1_ucm_cone_mode                  none
% 0.41/0.67  % --bmc1_ucm_reduced_relation_type      0
% 0.41/0.67  % --bmc1_ucm_relax_model                4
% 0.41/0.67  % --bmc1_ucm_full_tr_after_sat          true
% 0.41/0.67  % --bmc1_ucm_expand_neg_assumptions     false
% 0.41/0.67  % --bmc1_ucm_layered_model              none
% 0.41/0.67  % --bmc1_ucm_max_lemma_size             10
% 0.41/0.67  
% 0.41/0.67  % ------ AIG Options
% 0.41/0.67  
% 0.41/0.67  % --aig_mode                            false
% 0.41/0.67  
% 0.41/0.67  % ------ Instantiation Options
% 0.41/0.67  
% 0.41/0.67  % --instantiation_flag                  true
% 0.41/0.67  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.41/0.67  % --inst_solver_per_active              750
% 0.41/0.67  % --inst_solver_calls_frac              0.5
% 0.41/0.67  % --inst_passive_queue_type             priority_queues
% 0.41/0.67  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.41/0.67  % --inst_passive_queues_freq            [25;2]
% 0.41/0.67  % --inst_dismatching                    true
% 0.41/0.67  % --inst_eager_unprocessed_to_passive   true
% 0.41/0.67  % --inst_prop_sim_given                 true
% 0.41/0.67  % --inst_prop_sim_new                   false
% 0.41/0.67  % --inst_orphan_elimination             true
% 0.41/0.67  % --inst_learning_loop_flag             true
% 0.41/0.67  % --inst_learning_start                 3000
% 0.41/0.67  % --inst_learning_factor                2
% 0.41/0.67  % --inst_start_prop_sim_after_learn     3
% 0.41/0.67  % --inst_sel_renew                      solver
% 0.41/0.67  % --inst_lit_activity_flag              true
% 0.41/0.67  % --inst_out_proof                      true
% 0.41/0.67  
% 0.41/0.67  % ------ Resolution Options
% 0.41/0.67  
% 0.41/0.67  % --resolution_flag                     true
% 0.41/0.67  % --res_lit_sel                         kbo_max
% 0.41/0.67  % --res_to_prop_solver                  none
% 0.41/0.67  % --res_prop_simpl_new                  false
% 0.41/0.67  % --res_prop_simpl_given                false
% 0.41/0.67  % --res_passive_queue_type              priority_queues
% 0.41/0.67  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.41/0.67  % --res_passive_queues_freq             [15;5]
% 0.41/0.67  % --res_forward_subs                    full
% 0.41/0.67  % --res_backward_subs                   full
% 0.41/0.67  % --res_forward_subs_resolution         true
% 0.41/0.67  % --res_backward_subs_resolution        true
% 0.41/0.67  % --res_orphan_elimination              false
% 0.41/0.67  % --res_time_limit                      1000.
% 0.41/0.67  % --res_out_proof                       true
% 0.41/0.67  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_39f35d.s
% 0.41/0.67  % --modulo                              true
% 0.41/0.67  
% 0.41/0.67  % ------ Combination Options
% 0.41/0.67  
% 0.41/0.67  % --comb_res_mult                       1000
% 0.41/0.67  % --comb_inst_mult                      300
% 0.41/0.67  % ------ 
% 0.41/0.67  
% 0.41/0.67  % ------ Parsing...% successful
% 0.41/0.67  
% 0.41/0.67  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.41/0.67  
% 0.41/0.67  % ------ Proving...
% 0.41/0.67  % ------ Problem Properties 
% 0.41/0.67  
% 0.41/0.67  % 
% 0.41/0.67  % EPR                                   false
% 0.41/0.67  % Horn                                  false
% 0.41/0.67  % Has equality                          true
% 0.41/0.67  
% 0.41/0.67  % % ------ Input Options Time Limit: Unbounded
% 0.41/0.67  
% 0.41/0.67  
% 0.41/0.67  Compiling...
% 0.41/0.67  Loading plugin: done.
% 0.41/0.67  Compiling...
% 0.41/0.67  Loading plugin: done.
% 0.41/0.67  % % ------ Current options:
% 0.41/0.67  
% 0.41/0.67  % ------ Input Options
% 0.41/0.67  
% 0.41/0.67  % --out_options                         all
% 0.41/0.67  % --tptp_safe_out                       true
% 0.41/0.67  % --problem_path                        ""
% 0.41/0.67  % --include_path                        ""
% 0.41/0.67  % --clausifier                          .//eprover
% 0.41/0.67  % --clausifier_options                  --tstp-format  
% 0.41/0.67  % --stdin                               false
% 0.41/0.67  % --dbg_backtrace                       false
% 0.41/0.67  % --dbg_dump_prop_clauses               false
% 0.41/0.67  % --dbg_dump_prop_clauses_file          -
% 0.41/0.67  % --dbg_out_stat                        false
% 0.41/0.67  
% 0.41/0.67  % ------ General Options
% 0.41/0.67  
% 0.41/0.67  % --fof                                 false
% 0.41/0.67  % --time_out_real                       150.
% 0.41/0.67  % --time_out_prep_mult                  0.2
% 0.41/0.67  % --time_out_virtual                    -1.
% 0.41/0.67  % --schedule                            none
% 0.41/0.67  % --ground_splitting                    input
% 0.41/0.67  % --splitting_nvd                       16
% 0.41/0.67  % --non_eq_to_eq                        false
% 0.41/0.67  % --prep_gs_sim                         true
% 0.41/0.67  % --prep_unflatten                      false
% 0.41/0.67  % --prep_res_sim                        true
% 0.41/0.67  % --prep_upred                          true
% 0.41/0.67  % --res_sim_input                       true
% 0.41/0.67  % --clause_weak_htbl                    true
% 0.41/0.67  % --gc_record_bc_elim                   false
% 0.41/0.67  % --symbol_type_check                   false
% 0.41/0.67  % --clausify_out                        false
% 0.41/0.67  % --large_theory_mode                   false
% 0.41/0.67  % --prep_sem_filter                     none
% 0.41/0.67  % --prep_sem_filter_out                 false
% 0.41/0.67  % --preprocessed_out                    false
% 0.41/0.67  % --sub_typing                          false
% 0.41/0.67  % --brand_transform                     false
% 0.41/0.67  % --pure_diseq_elim                     true
% 0.41/0.67  % --min_unsat_core                      false
% 0.41/0.67  % --pred_elim                           true
% 0.41/0.67  % --add_important_lit                   false
% 0.41/0.67  % --soft_assumptions                    false
% 0.41/0.67  % --reset_solvers                       false
% 0.41/0.67  % --bc_imp_inh                          []
% 0.41/0.67  % --conj_cone_tolerance                 1.5
% 0.41/0.67  % --prolific_symb_bound                 500
% 0.41/0.67  % --lt_threshold                        2000
% 0.41/0.67  
% 0.41/0.67  % ------ SAT Options
% 0.41/0.67  
% 0.41/0.67  % --sat_mode                            false
% 0.41/0.67  % --sat_fm_restart_options              ""
% 0.41/0.67  % --sat_gr_def                          false
% 0.41/0.67  % --sat_epr_types                       true
% 0.41/0.67  % --sat_non_cyclic_types                false
% 0.41/0.67  % --sat_finite_models                   false
% 0.41/0.67  % --sat_fm_lemmas                       false
% 0.41/0.67  % --sat_fm_prep                         false
% 0.41/0.67  % --sat_fm_uc_incr                      true
% 0.41/0.67  % --sat_out_model                       small
% 0.41/0.67  % --sat_out_clauses                     false
% 0.41/0.67  
% 0.41/0.67  % ------ QBF Options
% 0.41/0.67  
% 0.41/0.67  % --qbf_mode                            false
% 0.41/0.67  % --qbf_elim_univ                       true
% 0.41/0.67  % --qbf_sk_in                           true
% 0.41/0.67  % --qbf_pred_elim                       true
% 0.41/0.67  % --qbf_split                           32
% 0.41/0.67  
% 0.41/0.67  % ------ BMC1 Options
% 0.41/0.67  
% 0.41/0.67  % --bmc1_incremental                    false
% 0.41/0.67  % --bmc1_axioms                         reachable_all
% 0.41/0.67  % --bmc1_min_bound                      0
% 0.41/0.67  % --bmc1_max_bound                      -1
% 0.41/0.67  % --bmc1_max_bound_default              -1
% 0.41/0.67  % --bmc1_symbol_reachability            true
% 0.41/0.67  % --bmc1_property_lemmas                false
% 0.41/0.67  % --bmc1_k_induction                    false
% 0.41/0.67  % --bmc1_non_equiv_states               false
% 0.41/0.67  % --bmc1_deadlock                       false
% 0.41/0.67  % --bmc1_ucm                            false
% 0.41/0.67  % --bmc1_add_unsat_core                 none
% 0.41/0.67  % --bmc1_unsat_core_children            false
% 0.41/0.67  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.41/0.67  % --bmc1_out_stat                       full
% 0.41/0.67  % --bmc1_ground_init                    false
% 0.41/0.67  % --bmc1_pre_inst_next_state            false
% 0.41/0.67  % --bmc1_pre_inst_state                 false
% 0.41/0.67  % --bmc1_pre_inst_reach_state           false
% 0.41/0.67  % --bmc1_out_unsat_core                 false
% 0.41/0.67  % --bmc1_aig_witness_out                false
% 0.41/0.67  % --bmc1_verbose                        false
% 0.41/0.67  % --bmc1_dump_clauses_tptp              false
% 0.41/0.67  % --bmc1_dump_unsat_core_tptp           false
% 0.41/0.67  % --bmc1_dump_file                      -
% 0.41/0.67  % --bmc1_ucm_expand_uc_limit            128
% 0.41/0.67  % --bmc1_ucm_n_expand_iterations        6
% 0.41/0.67  % --bmc1_ucm_extend_mode                1
% 0.41/0.67  % --bmc1_ucm_init_mode                  2
% 0.41/0.67  % --bmc1_ucm_cone_mode                  none
% 0.41/0.67  % --bmc1_ucm_reduced_relation_type      0
% 0.41/0.67  % --bmc1_ucm_relax_model                4
% 0.41/0.67  % --bmc1_ucm_full_tr_after_sat          true
% 0.41/0.67  % --bmc1_ucm_expand_neg_assumptions     false
% 0.41/0.67  % --bmc1_ucm_layered_model              none
% 0.41/0.67  % --bmc1_ucm_max_lemma_size             10
% 0.41/0.67  
% 0.41/0.67  % ------ AIG Options
% 0.41/0.67  
% 0.41/0.67  % --aig_mode                            false
% 0.41/0.67  
% 0.41/0.67  % ------ Instantiation Options
% 0.41/0.67  
% 0.41/0.67  % --instantiation_flag                  true
% 0.41/0.67  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.41/0.67  % --inst_solver_per_active              750
% 0.41/0.67  % --inst_solver_calls_frac              0.5
% 0.41/0.67  % --inst_passive_queue_type             priority_queues
% 0.41/0.67  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.41/0.67  % --inst_passive_queues_freq            [25;2]
% 0.41/0.67  % --inst_dismatching                    true
% 0.41/0.68  % --inst_eager_unprocessed_to_passive   true
% 0.41/0.68  % --inst_prop_sim_given                 true
% 0.41/0.68  % --inst_prop_sim_new                   false
% 0.41/0.68  % --inst_orphan_elimination             true
% 0.41/0.68  % --inst_learning_loop_flag             true
% 0.41/0.68  % --inst_learning_start                 3000
% 0.41/0.68  % --inst_learning_factor                2
% 0.41/0.68  % --inst_start_prop_sim_after_learn     3
% 0.41/0.68  % --inst_sel_renew                      solver
% 0.41/0.68  % --inst_lit_activity_flag              true
% 0.41/0.68  % --inst_out_proof                      true
% 0.41/0.68  
% 0.41/0.68  % ------ Resolution Options
% 0.41/0.68  
% 0.41/0.68  % --resolution_flag                     true
% 0.41/0.68  % --res_lit_sel                         kbo_max
% 0.41/0.68  % --res_to_prop_solver                  none
% 0.41/0.68  % --res_prop_simpl_new                  false
% 0.41/0.68  % --res_prop_simpl_given                false
% 0.41/0.68  % --res_passive_queue_type              priority_queues
% 0.41/0.68  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.41/0.68  % --res_passive_queues_freq             [15;5]
% 0.41/0.68  % --res_forward_subs                    full
% 0.41/0.68  % --res_backward_subs                   full
% 0.41/0.68  % --res_forward_subs_resolution         true
% 0.41/0.68  % --res_backward_subs_resolution        true
% 0.41/0.68  % --res_orphan_elimination              false
% 0.41/0.68  % --res_time_limit                      1000.
% 0.41/0.68  % --res_out_proof                       true
% 0.41/0.68  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_39f35d.s
% 0.41/0.68  % --modulo                              true
% 0.41/0.68  
% 0.41/0.68  % ------ Combination Options
% 0.41/0.68  
% 0.41/0.68  % --comb_res_mult                       1000
% 0.41/0.68  % --comb_inst_mult                      300
% 0.41/0.68  % ------ 
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  % ------ Proving...
% 0.41/0.68  % warning:  shown sat in sat incomplete mode 
% 0.41/0.68  % 
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  
% 0.41/0.68  cnf(c_27,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_4) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_48,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_27]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_52,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_48]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_53,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_52]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_54,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_53]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_133,negated_conjecture,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,symmetric_difference(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_54]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_134,plain,
% 0.41/0.68      ( union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)) != difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.68      inference(rewriting,[status(thm)],[c_133]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_26,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(X0,X1),X1)
% 0.41/0.68      | ~ member(sk1_esk1_2(X0,X1),X0)
% 0.41/0.68      | X1 = X0 ),
% 0.41/0.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_87_0) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_131,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(X0,X1),X1)
% 0.41/0.68      | ~ member(sk1_esk1_2(X0,X1),X0)
% 0.41/0.68      | X1 = X0 ),
% 0.41/0.68      inference(copy,[status(esa)],[c_26]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_137,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)))
% 0.41/0.68      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.68      inference(resolution,[status(thm)],[c_134,c_131]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_140,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)))
% 0.41/0.68      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.68      inference(rewriting,[status(thm)],[c_137]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_19,plain,
% 0.41/0.68      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.41/0.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_94_0) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_117,plain,
% 0.41/0.68      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_19]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_118,plain,
% 0.41/0.68      ( member(X0,union(X1,X2)) | ~ member(X0,X1) ),
% 0.41/0.68      inference(rewriting,[status(thm)],[c_117]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_163,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.68      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.68      inference(resolution,[status(thm)],[c_140,c_118]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_164,plain,
% 0.41/0.68      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.68      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.68      inference(rewriting,[status(thm)],[c_163]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_23,plain,
% 0.41/0.68      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.41/0.68      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_90_0) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_125,plain,
% 0.41/0.68      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.41/0.68      inference(copy,[status(esa)],[c_23]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_126,plain,
% 0.41/0.68      ( member(X0,difference(X1,X2)) | ~ member(X0,X1) | member(X0,X2) ),
% 0.41/0.68      inference(rewriting,[status(thm)],[c_125]) ).
% 0.41/0.68  
% 0.41/0.68  cnf(c_171,plain,
% 0.41/0.68      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.68      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_164,c_126]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_172,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_171]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_17,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_96_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_113,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_17]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_114,plain,
% 0.41/0.69      ( ~ member(X0,difference(X1,X2)) | member(X0,X1) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_113]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_199,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(forward_subsumption_resolution,[status(thm)],[c_172,c_114]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_200,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_199]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_205,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_200,c_114]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_206,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_205]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_20,plain,
% 0.41/0.69      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_93_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_119,plain,
% 0.41/0.69      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_20]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_120,plain,
% 0.41/0.69      ( ~ member(X0,difference(X1,X2)) | ~ member(X0,X2) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_119]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_214,plain,
% 0.41/0.69      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(forward_subsumption_resolution,[status(thm)],[c_206,c_120]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_215,plain,
% 0.41/0.69      ( ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_214]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_219,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_215,c_126]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_220,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0))
% 0.41/0.69      | ~ member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_219]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_24,plain,
% 0.41/0.69      ( member(sk1_esk1_2(X0,X1),X1) | member(sk1_esk1_2(X0,X1),X0) | X1 = X0 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_89_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_127,plain,
% 0.41/0.69      ( member(sk1_esk1_2(X0,X1),X1) | member(sk1_esk1_2(X0,X1),X0) | X1 = X0 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_24]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_138,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_134,c_127]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_139,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_138]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_22,plain,
% 0.41/0.69      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_91_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_123,plain,
% 0.41/0.69      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_22]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_124,plain,
% 0.41/0.69      ( ~ member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_123]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_155,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_139,c_124]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_156,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_155]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_181,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_156,c_114]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_182,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_181]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_188,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(forward_subsumption_resolution,[status(thm)],[c_182,c_114]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_189,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_188]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_16,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_97_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_111,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_16]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_112,plain,
% 0.41/0.69      ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_111]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_194,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(sk3_esk1_0,sk3_esk2_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_189,c_112]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_195,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(sk3_esk1_0,sk3_esk2_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_194]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_209,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(forward_subsumption_resolution,[status(thm)],[c_195,c_112]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_210,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk1_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_209]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_231,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.69      inference(forward_subsumption_resolution,[status(thm)],[c_220,c_210]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_232,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),union(sk3_esk2_0,sk3_esk3_0)) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_231]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_234,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk2_0)
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk3_0) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_232,c_124]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_235,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk2_0)
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),sk3_esk3_0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_234]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_217,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(backward_subsumption_resolution,[status(thm)],[c_215,c_156]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_218,plain,
% 0.41/0.69      ( member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))
% 0.41/0.69      | member(sk1_esk1_2(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0)))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_217]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_14,plain,
% 0.41/0.69      ( ~ subset(X0,X1) | ~ subset(X1,X0) | X0 = X1 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_99_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_107,plain,
% 0.41/0.69      ( ~ subset(X0,X1) | ~ subset(X1,X0) | X0 = X1 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_14]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_141,plain,
% 0.41/0.69      ( ~ subset(union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))))
% 0.41/0.69      | ~ subset(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))) ),
% 0.41/0.69      inference(resolution,[status(thm)],[c_134,c_107]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_142,plain,
% 0.41/0.69      ( ~ subset(union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0)),difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))))
% 0.41/0.69      | ~ subset(difference(sk3_esk1_0,difference(union(sk3_esk2_0,sk3_esk3_0),intersection(sk3_esk2_0,sk3_esk3_0))),union(difference(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0)),intersection(intersection(sk3_esk1_0,sk3_esk2_0),sk3_esk3_0))) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_141]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_25,plain,
% 0.41/0.69      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_88_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_129,plain,
% 0.41/0.69      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_25]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_130,plain,
% 0.41/0.69      ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_129]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_21,plain,
% 0.41/0.69      ( ~ member(sk1_esk2_2(X0,X1),X0) | subset(X1,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_92_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_121,plain,
% 0.41/0.69      ( ~ member(sk1_esk2_2(X0,X1),X0) | subset(X1,X0) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_21]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_122,plain,
% 0.41/0.69      ( subset(X0,X1) | ~ member(sk1_esk2_2(X1,X0),X1) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_121]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_18,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_95_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_115,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_18]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_116,plain,
% 0.41/0.69      ( member(X0,union(X1,X2)) | ~ member(X0,X2) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_115]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_15,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_98_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_109,plain,
% 0.41/0.69      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_15]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_110,plain,
% 0.41/0.69      ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_109]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_13,plain,
% 0.41/0.69      ( member(sk1_esk2_2(X0,X1),X1) | subset(X1,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_100_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_105,plain,
% 0.41/0.69      ( member(sk1_esk2_2(X0,X1),X1) | subset(X1,X0) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_13]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_106,plain,
% 0.41/0.69      ( subset(X0,X1) | member(sk1_esk2_2(X1,X0),X0) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_105]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_12,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_103_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_103,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_12]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_104,plain,
% 0.41/0.69      ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_103]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_5,plain,
% 0.41/0.69      ( symmetric_difference(X0,X1) = symmetric_difference(X1,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_108_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_91,plain,
% 0.41/0.69      ( symmetric_difference(X0,X1) = symmetric_difference(X1,X0) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_5]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_92,plain,
% 0.41/0.69      ( difference(union(X0,X1),intersection(X0,X1)) = difference(union(X1,X0),intersection(X1,X0)) ),
% 0.41/0.69      inference(rewriting,[status(thm)],[c_91]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_11,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_104_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_101,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_11]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_10,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_105_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_99,plain,
% 0.41/0.69      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_10]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_9,plain,
% 0.41/0.69      ( subset(X0,X1) | X0 != X1 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_106_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_97,plain,
% 0.41/0.69      ( subset(X0,X1) | X0 != X1 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_9]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_8,plain,
% 0.41/0.69      ( subset(X0,X1) | X1 != X0 ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_107_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_95,plain,
% 0.41/0.69      ( subset(X0,X1) | X1 != X0 ),
% 0.41/0.69      inference(copy,[status(esa)],[c_8]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_4,plain,
% 0.41/0.69      ( intersection(X0,X1) = intersection(X1,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_109_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_89,plain,
% 0.41/0.69      ( intersection(X0,X1) = intersection(X1,X0) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_4]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_3,plain,
% 0.41/0.69      ( union(X0,X1) = union(X1,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_110_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_87,plain,
% 0.41/0.69      ( union(X0,X1) = union(X1,X0) ),
% 0.41/0.69      inference(copy,[status(esa)],[c_3]) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_0,plain,
% 0.41/0.69      ( subset(X0,X0) ),
% 0.41/0.69      file('/export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p', c_0_113_0) ).
% 0.41/0.69  
% 0.41/0.69  cnf(c_83,plain,( subset(X0,X0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.41/0.69  
% 0.41/0.69  
% 0.41/0.69  
% 0.41/0.69  % ------                             Statistics
% 0.41/0.69  
% 0.41/0.69  % ------ General
% 0.41/0.69  
% 0.41/0.69  % num_of_input_clauses:                 28
% 0.41/0.69  % num_of_input_neg_conjectures:         1
% 0.41/0.69  % num_of_splits:                        0
% 0.41/0.69  % num_of_split_atoms:                   0
% 0.41/0.69  % num_of_sem_filtered_clauses:          0
% 0.41/0.69  % num_of_subtypes:                      0
% 0.41/0.69  % monotx_restored_types:                0
% 0.41/0.69  % sat_num_of_epr_types:                 0
% 0.41/0.69  % sat_num_of_non_cyclic_types:          0
% 0.41/0.69  % sat_guarded_non_collapsed_types:      0
% 0.41/0.69  % is_epr:                               0
% 0.41/0.69  % is_horn:                              0
% 0.41/0.69  % has_eq:                               1
% 0.41/0.69  % num_pure_diseq_elim:                  0
% 0.41/0.69  % simp_replaced_by:                     0
% 0.41/0.69  % res_preprocessed:                     2
% 0.41/0.69  % prep_upred:                           0
% 0.41/0.69  % prep_unflattend:                      0
% 0.41/0.69  % pred_elim_cands:                      0
% 0.41/0.69  % pred_elim:                            0
% 0.41/0.69  % pred_elim_cl:                         0
% 0.41/0.69  % pred_elim_cycles:                     0
% 0.41/0.69  % forced_gc_time:                       0
% 0.41/0.69  % gc_basic_clause_elim:                 0
% 0.41/0.69  % parsing_time:                         0.001
% 0.41/0.69  % sem_filter_time:                      0.
% 0.41/0.69  % pred_elim_time:                       0.
% 0.41/0.69  % out_proof_time:                       0.
% 0.41/0.69  % monotx_time:                          0.
% 0.41/0.69  % subtype_inf_time:                     0.
% 0.41/0.69  % unif_index_cands_time:                0.
% 0.41/0.69  % unif_index_add_time:                  0.
% 0.41/0.69  % total_time:                           0.272
% 0.41/0.69  % num_of_symbols:                       36
% 0.41/0.69  % num_of_terms:                         196
% 0.41/0.69  
% 0.41/0.69  % ------ Propositional Solver
% 0.41/0.69  
% 0.41/0.69  % prop_solver_calls:                    1
% 0.41/0.69  % prop_fast_solver_calls:               3
% 0.41/0.69  % prop_num_of_clauses:                  48
% 0.41/0.69  % prop_preprocess_simplified:           70
% 0.41/0.69  % prop_fo_subsumed:                     0
% 0.41/0.69  % prop_solver_time:                     0.
% 0.41/0.69  % prop_fast_solver_time:                0.
% 0.41/0.69  % prop_unsat_core_time:                 0.
% 0.41/0.69  
% 0.41/0.69  % ------ QBF 
% 0.41/0.69  
% 0.41/0.69  % qbf_q_res:                            0
% 0.41/0.69  % qbf_num_tautologies:                  0
% 0.41/0.69  % qbf_prep_cycles:                      0
% 0.41/0.69  
% 0.41/0.69  % ------ BMC1
% 0.41/0.69  
% 0.41/0.69  % bmc1_current_bound:                   -1
% 0.41/0.69  % bmc1_last_solved_bound:               -1
% 0.41/0.69  % bmc1_unsat_core_size:                 -1
% 0.41/0.69  % bmc1_unsat_core_parents_size:         -1
% 0.41/0.69  % bmc1_merge_next_fun:                  0
% 0.41/0.69  % bmc1_unsat_core_clauses_time:         0.
% 0.41/0.69  
% 0.41/0.69  % ------ Instantiation
% 0.41/0.69  
% 0.41/0.69  % inst_num_of_clauses:                  28
% 0.41/0.69  % inst_num_in_passive:                  0
% 0.41/0.69  % inst_num_in_active:                   0
% 0.41/0.69  % inst_num_in_unprocessed:              28
% 0.41/0.69  % inst_num_of_loops:                    0
% 0.41/0.69  % inst_num_of_learning_restarts:        0
% 0.41/0.69  % inst_num_moves_active_passive:        0
% 0.41/0.69  % inst_lit_activity:                    0
% 0.41/0.69  % inst_lit_activity_moves:              0
% 0.41/0.69  % inst_num_tautologies:                 0
% 0.41/0.69  % inst_num_prop_implied:                0
% 0.41/0.69  % inst_num_existing_simplified:         0
% 0.41/0.69  % inst_num_eq_res_simplified:           0
% 0.41/0.69  % inst_num_child_elim:                  0
% 0.41/0.69  % inst_num_of_dismatching_blockings:    0
% 0.41/0.69  % inst_num_of_non_proper_insts:         0
% 0.41/0.69  % inst_num_of_duplicates:               0
% 0.41/0.69  % inst_inst_num_from_inst_to_res:       0
% 0.41/0.69  % inst_dismatching_checking_time:       0.
% 0.41/0.69  
% 0.41/0.69  % ------ Resolution
% 0.41/0.69  
% 0.41/0.69  % res_num_of_clauses:                   50
% 0.41/0.69  % res_num_in_passive:                   0
% 0.41/0.69  % res_num_in_active:                    32
% 0.41/0.69  % res_num_of_loops:                     19
% 0.41/0.69  % res_forward_subset_subsumed:          1
% 0.41/0.69  % res_backward_subset_subsumed:         1
% 0.41/0.69  % res_forward_subsumed:                 5
% 0.41/0.69  % res_backward_subsumed:                2
% 0.41/0.69  % res_forward_subsumption_resolution:   5
% 0.41/0.69  % res_backward_subsumption_resolution:  1
% 0.41/0.69  % res_clause_to_clause_subsumption:     54
% 0.41/0.69  % res_orphan_elimination:               0
% 0.41/0.69  % res_tautology_del:                    4
% 0.41/0.69  % res_num_eq_res_simplified:            0
% 0.41/0.69  % res_num_sel_changes:                  0
% 0.41/0.69  % res_moves_from_active_to_pass:        0
% 0.41/0.69  
% 0.41/0.69  % Status Unknown
% 0.52/0.74  % Orienting using strategy ClausalAll
% 0.52/0.74  % FOF problem with conjecture
% 0.52/0.74  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_39f35d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_8654d8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a492b2 | grep -v "SZS"
% 0.52/0.76  
% 0.52/0.76  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.52/0.76  
% 0.52/0.76  % 
% 0.52/0.76  % ------  iProver source info 
% 0.52/0.76  
% 0.52/0.76  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.52/0.76  % git: non_committed_changes: true
% 0.52/0.76  % git: last_make_outside_of_git: true
% 0.52/0.76  
% 0.52/0.76  % 
% 0.52/0.76  % ------ Input Options
% 0.52/0.76  
% 0.52/0.76  % --out_options                         all
% 0.52/0.76  % --tptp_safe_out                       true
% 0.52/0.76  % --problem_path                        ""
% 0.52/0.76  % --include_path                        ""
% 0.52/0.76  % --clausifier                          .//eprover
% 0.52/0.76  % --clausifier_options                  --tstp-format  
% 0.52/0.76  % --stdin                               false
% 0.52/0.76  % --dbg_backtrace                       false
% 0.52/0.76  % --dbg_dump_prop_clauses               false
% 0.52/0.76  % --dbg_dump_prop_clauses_file          -
% 0.52/0.76  % --dbg_out_stat                        false
% 0.52/0.76  
% 0.52/0.76  % ------ General Options
% 0.52/0.76  
% 0.52/0.76  % --fof                                 false
% 0.52/0.76  % --time_out_real                       150.
% 0.52/0.76  % --time_out_prep_mult                  0.2
% 0.52/0.76  % --time_out_virtual                    -1.
% 0.52/0.76  % --schedule                            none
% 0.52/0.76  % --ground_splitting                    input
% 0.52/0.76  % --splitting_nvd                       16
% 0.52/0.76  % --non_eq_to_eq                        false
% 0.52/0.76  % --prep_gs_sim                         true
% 0.52/0.76  % --prep_unflatten                      false
% 0.52/0.76  % --prep_res_sim                        true
% 0.52/0.76  % --prep_upred                          true
% 0.52/0.76  % --res_sim_input                       true
% 0.52/0.76  % --clause_weak_htbl                    true
% 0.52/0.76  % --gc_record_bc_elim                   false
% 0.52/0.76  % --symbol_type_check                   false
% 0.52/0.76  % --clausify_out                        false
% 0.52/0.76  % --large_theory_mode                   false
% 0.52/0.76  % --prep_sem_filter                     none
% 0.52/0.76  % --prep_sem_filter_out                 false
% 0.52/0.76  % --preprocessed_out                    false
% 0.52/0.76  % --sub_typing                          false
% 0.52/0.76  % --brand_transform                     false
% 0.52/0.76  % --pure_diseq_elim                     true
% 0.52/0.76  % --min_unsat_core                      false
% 0.52/0.76  % --pred_elim                           true
% 0.52/0.76  % --add_important_lit                   false
% 0.52/0.76  % --soft_assumptions                    false
% 0.52/0.76  % --reset_solvers                       false
% 0.52/0.76  % --bc_imp_inh                          []
% 0.52/0.76  % --conj_cone_tolerance                 1.5
% 0.52/0.76  % --prolific_symb_bound                 500
% 0.52/0.76  % --lt_threshold                        2000
% 0.52/0.76  
% 0.52/0.76  % ------ SAT Options
% 0.52/0.76  
% 0.52/0.76  % --sat_mode                            false
% 0.52/0.76  % --sat_fm_restart_options              ""
% 0.52/0.76  % --sat_gr_def                          false
% 0.52/0.76  % --sat_epr_types                       true
% 0.52/0.76  % --sat_non_cyclic_types                false
% 0.52/0.76  % --sat_finite_models                   false
% 0.52/0.76  % --sat_fm_lemmas                       false
% 0.52/0.76  % --sat_fm_prep                         false
% 0.52/0.76  % --sat_fm_uc_incr                      true
% 0.52/0.76  % --sat_out_model                       small
% 0.52/0.76  % --sat_out_clauses                     false
% 0.52/0.76  
% 0.52/0.76  % ------ QBF Options
% 0.52/0.76  
% 0.52/0.76  % --qbf_mode                            false
% 0.52/0.76  % --qbf_elim_univ                       true
% 0.52/0.76  % --qbf_sk_in                           true
% 0.52/0.76  % --qbf_pred_elim                       true
% 0.52/0.76  % --qbf_split                           32
% 0.52/0.76  
% 0.52/0.76  % ------ BMC1 Options
% 0.52/0.76  
% 0.52/0.76  % --bmc1_incremental                    false
% 0.52/0.76  % --bmc1_axioms                         reachable_all
% 0.52/0.76  % --bmc1_min_bound                      0
% 0.52/0.76  % --bmc1_max_bound                      -1
% 0.52/0.76  % --bmc1_max_bound_default              -1
% 0.52/0.76  % --bmc1_symbol_reachability            true
% 0.52/0.76  % --bmc1_property_lemmas                false
% 0.52/0.76  % --bmc1_k_induction                    false
% 0.52/0.76  % --bmc1_non_equiv_states               false
% 0.52/0.76  % --bmc1_deadlock                       false
% 0.52/0.76  % --bmc1_ucm                            false
% 0.52/0.76  % --bmc1_add_unsat_core                 none
% 0.52/0.76  % --bmc1_unsat_core_children            false
% 0.52/0.76  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.52/0.76  % --bmc1_out_stat                       full
% 0.52/0.76  % --bmc1_ground_init                    false
% 0.52/0.76  % --bmc1_pre_inst_next_state            false
% 0.52/0.76  % --bmc1_pre_inst_state                 false
% 0.52/0.76  % --bmc1_pre_inst_reach_state           false
% 0.52/0.76  % --bmc1_out_unsat_core                 false
% 0.52/0.76  % --bmc1_aig_witness_out                false
% 0.52/0.76  % --bmc1_verbose                        false
% 0.52/0.76  % --bmc1_dump_clauses_tptp              false
% 0.56/0.89  % --bmc1_dump_unsat_core_tptp           false
% 0.56/0.89  % --bmc1_dump_file                      -
% 0.56/0.89  % --bmc1_ucm_expand_uc_limit            128
% 0.56/0.89  % --bmc1_ucm_n_expand_iterations        6
% 0.56/0.89  % --bmc1_ucm_extend_mode                1
% 0.56/0.89  % --bmc1_ucm_init_mode                  2
% 0.56/0.89  % --bmc1_ucm_cone_mode                  none
% 0.56/0.89  % --bmc1_ucm_reduced_relation_type      0
% 0.56/0.89  % --bmc1_ucm_relax_model                4
% 0.56/0.89  % --bmc1_ucm_full_tr_after_sat          true
% 0.56/0.89  % --bmc1_ucm_expand_neg_assumptions     false
% 0.56/0.89  % --bmc1_ucm_layered_model              none
% 0.56/0.89  % --bmc1_ucm_max_lemma_size             10
% 0.56/0.89  
% 0.56/0.89  % ------ AIG Options
% 0.56/0.89  
% 0.56/0.89  % --aig_mode                            false
% 0.56/0.89  
% 0.56/0.89  % ------ Instantiation Options
% 0.56/0.89  
% 0.56/0.89  % --instantiation_flag                  true
% 0.56/0.89  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.56/0.89  % --inst_solver_per_active              750
% 0.56/0.89  % --inst_solver_calls_frac              0.5
% 0.56/0.89  % --inst_passive_queue_type             priority_queues
% 0.56/0.89  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.56/0.89  % --inst_passive_queues_freq            [25;2]
% 0.56/0.89  % --inst_dismatching                    true
% 0.56/0.89  % --inst_eager_unprocessed_to_passive   true
% 0.56/0.89  % --inst_prop_sim_given                 true
% 0.56/0.89  % --inst_prop_sim_new                   false
% 0.56/0.89  % --inst_orphan_elimination             true
% 0.56/0.89  % --inst_learning_loop_flag             true
% 0.56/0.89  % --inst_learning_start                 3000
% 0.56/0.89  % --inst_learning_factor                2
% 0.56/0.89  % --inst_start_prop_sim_after_learn     3
% 0.56/0.89  % --inst_sel_renew                      solver
% 0.56/0.89  % --inst_lit_activity_flag              true
% 0.56/0.89  % --inst_out_proof                      true
% 0.56/0.89  
% 0.56/0.89  % ------ Resolution Options
% 0.56/0.89  
% 0.56/0.89  % --resolution_flag                     true
% 0.56/0.89  % --res_lit_sel                         kbo_max
% 0.56/0.89  % --res_to_prop_solver                  none
% 0.56/0.89  % --res_prop_simpl_new                  false
% 0.56/0.89  % --res_prop_simpl_given                false
% 0.56/0.89  % --res_passive_queue_type              priority_queues
% 0.56/0.89  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.56/0.89  % --res_passive_queues_freq             [15;5]
% 0.56/0.89  % --res_forward_subs                    full
% 0.56/0.89  % --res_backward_subs                   full
% 0.56/0.89  % --res_forward_subs_resolution         true
% 0.56/0.89  % --res_backward_subs_resolution        true
% 0.56/0.89  % --res_orphan_elimination              false
% 0.56/0.89  % --res_time_limit                      1000.
% 0.56/0.89  % --res_out_proof                       true
% 0.56/0.89  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_39f35d.s
% 0.56/0.89  % --modulo                              true
% 0.56/0.89  
% 0.56/0.89  % ------ Combination Options
% 0.56/0.89  
% 0.56/0.89  % --comb_res_mult                       1000
% 0.56/0.89  % --comb_inst_mult                      300
% 0.56/0.89  % ------ 
% 0.56/0.89  
% 0.56/0.89  % ------ Parsing...% successful
% 0.56/0.89  
% 0.56/0.89  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.56/0.89  
% 0.56/0.89  % ------ Proving...
% 0.56/0.89  % ------ Problem Properties 
% 0.56/0.89  
% 0.56/0.89  % 
% 0.56/0.89  % EPR                                   false
% 0.56/0.89  % Horn                                  false
% 0.56/0.89  % Has equality                          true
% 0.56/0.89  
% 0.56/0.89  % % ------ Input Options Time Limit: Unbounded
% 0.56/0.89  
% 0.56/0.89  
% 0.56/0.89  Compiling...
% 0.56/0.89  Loading plugin: done.
% 0.56/0.89  % 
% 0.56/0.89  
% 0.56/0.89  
% 0.56/0.89  %  Resolution empty clause
% 0.56/0.89  
% 0.56/0.89  % ------                             Statistics
% 0.56/0.89  
% 0.56/0.89  % ------ General
% 0.56/0.89  
% 0.56/0.89  % num_of_input_clauses:                 56
% 0.56/0.89  % num_of_input_neg_conjectures:         1
% 0.56/0.89  % num_of_splits:                        0
% 0.56/0.89  % num_of_split_atoms:                   0
% 0.56/0.89  % num_of_sem_filtered_clauses:          0
% 0.56/0.89  % num_of_subtypes:                      0
% 0.56/0.89  % monotx_restored_types:                0
% 0.56/0.89  % sat_num_of_epr_types:                 0
% 0.56/0.89  % sat_num_of_non_cyclic_types:          0
% 0.56/0.89  % sat_guarded_non_collapsed_types:      0
% 0.56/0.89  % is_epr:                               0
% 0.56/0.89  % is_horn:                              0
% 0.56/0.89  % has_eq:                               1
% 0.56/0.89  % num_pure_diseq_elim:                  0
% 0.56/0.89  % simp_replaced_by:                     0
% 0.56/0.89  % res_preprocessed:                     2
% 0.56/0.89  % prep_upred:                           0
% 0.56/0.89  % prep_unflattend:                      0
% 0.56/0.89  % pred_elim_cands:                      0
% 0.56/0.89  % pred_elim:                            0
% 0.56/0.89  % pred_elim_cl:                         0
% 0.56/0.89  % pred_elim_cycles:                     0
% 0.56/0.89  % forced_gc_time:                       0
% 0.56/0.89  % gc_basic_clause_elim:                 0
% 0.56/0.89  % parsing_time:                         0.002
% 0.56/0.89  % sem_filter_time:                      0.
% 0.56/0.89  % pred_elim_time:                       0.
% 0.56/0.89  % out_proof_time:                       0.
% 0.56/0.89  % monotx_time:                          0.
% 0.56/0.89  % subtype_inf_time:                     0.
% 0.56/0.89  % unif_index_cands_time:                0.
% 0.56/0.89  % unif_index_add_time:                  0.
% 0.56/0.89  % total_time:                           0.142
% 0.56/0.89  % num_of_symbols:                       36
% 0.56/0.89  % num_of_terms:                         132
% 0.56/0.89  
% 0.56/0.89  % ------ Propositional Solver
% 0.56/0.89  
% 0.56/0.89  % prop_solver_calls:                    1
% 0.56/0.89  % prop_fast_solver_calls:               3
% 0.56/0.89  % prop_num_of_clauses:                  56
% 0.56/0.89  % prop_preprocess_simplified:           174
% 0.56/0.89  % prop_fo_subsumed:                     0
% 0.56/0.89  % prop_solver_time:                     0.
% 0.56/0.89  % prop_fast_solver_time:                0.
% 0.56/0.89  % prop_unsat_core_time:                 0.
% 0.56/0.89  
% 0.56/0.89  % ------ QBF 
% 0.56/0.89  
% 0.56/0.89  % qbf_q_res:                            0
% 0.56/0.89  % qbf_num_tautologies:                  0
% 0.56/0.89  % qbf_prep_cycles:                      0
% 0.56/0.89  
% 0.56/0.89  % ------ BMC1
% 0.56/0.89  
% 0.56/0.89  % bmc1_current_bound:                   -1
% 0.56/0.89  % bmc1_last_solved_bound:               -1
% 0.56/0.89  % bmc1_unsat_core_size:                 -1
% 0.56/0.89  % bmc1_unsat_core_parents_size:         -1
% 0.56/0.89  % bmc1_merge_next_fun:                  0
% 0.56/0.89  % bmc1_unsat_core_clauses_time:         0.
% 0.56/0.89  
% 0.56/0.89  % ------ Instantiation
% 0.56/0.89  
% 0.56/0.89  % inst_num_of_clauses:                  56
% 0.56/0.89  % inst_num_in_passive:                  0
% 0.56/0.89  % inst_num_in_active:                   0
% 0.56/0.89  % inst_num_in_unprocessed:              56
% 0.56/0.89  % inst_num_of_loops:                    0
% 0.56/0.89  % inst_num_of_learning_restarts:        0
% 0.56/0.89  % inst_num_moves_active_passive:        0
% 0.56/0.89  % inst_lit_activity:                    0
% 0.56/0.89  % inst_lit_activity_moves:              0
% 0.56/0.89  % inst_num_tautologies:                 0
% 0.56/0.89  % inst_num_prop_implied:                0
% 0.56/0.89  % inst_num_existing_simplified:         0
% 0.56/0.89  % inst_num_eq_res_simplified:           0
% 0.56/0.89  % inst_num_child_elim:                  0
% 0.56/0.89  % inst_num_of_dismatching_blockings:    0
% 0.56/0.89  % inst_num_of_non_proper_insts:         0
% 0.56/0.89  % inst_num_of_duplicates:               0
% 0.56/0.89  % inst_inst_num_from_inst_to_res:       0
% 0.56/0.89  % inst_dismatching_checking_time:       0.
% 0.56/0.89  
% 0.56/0.89  % ------ Resolution
% 0.56/0.89  
% 0.56/0.89  % res_num_of_clauses:                   63
% 0.56/0.89  % res_num_in_passive:                   0
% 0.56/0.89  % res_num_in_active:                    32
% 0.56/0.89  % res_num_of_loops:                     0
% 0.56/0.89  % res_forward_subset_subsumed:          19
% 0.56/0.89  % res_backward_subset_subsumed:         0
% 0.56/0.89  % res_forward_subsumed:                 0
% 0.56/0.89  % res_backward_subsumed:                0
% 0.56/0.89  % res_forward_subsumption_resolution:   0
% 0.56/0.89  % res_backward_subsumption_resolution:  0
% 0.56/0.89  % res_clause_to_clause_subsumption:     0
% 0.56/0.89  % res_orphan_elimination:               0
% 0.56/0.89  % res_tautology_del:                    0
% 0.56/0.89  % res_num_eq_res_simplified:            0
% 0.56/0.89  % res_num_sel_changes:                  0
% 0.56/0.89  % res_moves_from_active_to_pass:        0
% 0.56/0.89  
% 0.56/0.89  % Status Unsatisfiable
% 0.56/0.89  % SZS status Theorem
% 0.56/0.89  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------