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

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n005.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 10:24:55 EDT 2022

% Result   : Theorem 0.55s 0.94s
% Output   : CNFRefutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   55
% Syntax   : Number of formulae    :  464 ( 132 unt;   0 def)
%            Number of atoms       : 1060 (  45 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives : 1041 ( 445   ~; 444   |; 102   &)
%                                         (  10 <=>;  40  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;   1 prp; 0-2 aty)
%            Number of functors    :   38 (  38 usr;  15 con; 0-2 aty)
%            Number of variables   :  599 (  63 sgn 178   !;  20   ?)

% 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] :
      ( diff_closed(X1)
    <=> ! [X2,X3] :
          ( ( in(X2,X1)
            & in(X3,X1) )
         => in(set_difference(X2,X3),X1) ) ),
    file('<stdin>',d3_finsub_1) ).

fof(c_0_1,axiom,
    ! [X1] :
      ( cup_closed(X1)
    <=> ! [X2,X3] :
          ( ( in(X2,X1)
            & in(X3,X1) )
         => in(set_union2(X2,X3),X1) ) ),
    file('<stdin>',d1_finsub_1) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('<stdin>',t4_subset) ).

fof(c_0_3,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('<stdin>',t5_subset) ).

fof(c_0_4,axiom,
    ! [X1,X2] :
      ( ~ empty(X1)
     => ~ empty(set_union2(X2,X1)) ),
    file('<stdin>',fc3_xboole_0) ).

fof(c_0_5,axiom,
    ! [X1,X2] :
      ( ~ empty(X1)
     => ~ empty(set_union2(X1,X2)) ),
    file('<stdin>',fc2_xboole_0) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('<stdin>',t3_subset) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('<stdin>',antisymmetry_r2_hidden) ).

fof(c_0_8,axiom,
    ! [X1,X2] :
      ( ( finite(X1)
        & finite(X2) )
     => finite(set_union2(X1,X2)) ),
    file('<stdin>',fc9_finset_1) ).

fof(c_0_9,axiom,
    ! [X1] :
      ( finite(X1)
     => ! [X2] :
          ( element(X2,powerset(X1))
         => finite(X2) ) ),
    file('<stdin>',cc2_finset_1) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('<stdin>',t2_subset) ).

fof(c_0_11,axiom,
    ! [X1,X2] :
      ( finite(X1)
     => finite(set_difference(X1,X2)) ),
    file('<stdin>',fc12_finset_1) ).

fof(c_0_12,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    file('<stdin>',t1_subset) ).

fof(c_0_13,axiom,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2)
          & finite(X2) ) ),
    file('<stdin>',rc4_finset_1) ).

fof(c_0_14,axiom,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2)
          & finite(X2) ) ),
    file('<stdin>',rc3_finset_1) ).

fof(c_0_15,axiom,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    file('<stdin>',rc1_subset_1) ).

fof(c_0_16,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_17,axiom,
    ! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
    file('<stdin>',commutativity_k2_xboole_0) ).

fof(c_0_18,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    file('<stdin>',rc2_subset_1) ).

fof(c_0_19,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2)
      & relation(X2)
      & function(X2)
      & one_to_one(X2)
      & epsilon_transitive(X2)
      & epsilon_connected(X2)
      & ordinal(X2)
      & natural(X2)
      & finite(X2) ),
    file('<stdin>',rc2_finset_1) ).

fof(c_0_20,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_21,axiom,
    ! [X1] :
      ( preboolean(X1)
    <=> ( cup_closed(X1)
        & diff_closed(X1) ) ),
    file('<stdin>',d4_finsub_1) ).

fof(c_0_22,axiom,
    ! [X1] :
      ( ( cup_closed(X1)
        & diff_closed(X1) )
     => preboolean(X1) ),
    file('<stdin>',cc2_finsub_1) ).

fof(c_0_23,axiom,
    ! [X1] : ~ empty(powerset(X1)),
    file('<stdin>',fc1_subset_1) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_25,axiom,
    ! [X1,X2] : set_union2(X1,X1) = X1,
    file('<stdin>',idempotence_k2_xboole_0) ).

fof(c_0_26,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('<stdin>',reflexivity_r1_tarski) ).

fof(c_0_27,axiom,
    ! [X1] : set_difference(X1,empty_set) = X1,
    file('<stdin>',t3_boole) ).

fof(c_0_28,axiom,
    ! [X1] : set_union2(X1,empty_set) = X1,
    file('<stdin>',t1_boole) ).

fof(c_0_29,axiom,
    ! [X1] : set_difference(empty_set,X1) = empty_set,
    file('<stdin>',t4_boole) ).

fof(c_0_30,axiom,
    ! [X1] :
      ( preboolean(X1)
     => ( cup_closed(X1)
        & diff_closed(X1) ) ),
    file('<stdin>',cc1_finsub_1) ).

fof(c_0_31,axiom,
    ! [X1] :
      ( empty(X1)
     => finite(X1) ),
    file('<stdin>',cc1_finset_1) ).

fof(c_0_32,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('<stdin>',t6_boole) ).

fof(c_0_33,axiom,
    ? [X1] : ~ empty(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_34,axiom,
    ? [X1] :
      ( ~ empty(X1)
      & cup_closed(X1)
      & cap_closed(X1)
      & diff_closed(X1)
      & preboolean(X1) ),
    file('<stdin>',rc1_finsub_1) ).

fof(c_0_35,axiom,
    ? [X1] :
      ( ~ empty(X1)
      & finite(X1) ),
    file('<stdin>',rc1_finset_1) ).

fof(c_0_36,axiom,
    ? [X1] : empty(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_37,axiom,
    empty(empty_set),
    file('<stdin>',fc1_xboole_0) ).

fof(c_0_38,axiom,
    ! [X1] :
      ( diff_closed(X1)
    <=> ! [X2,X3] :
          ( ( in(X2,X1)
            & in(X3,X1) )
         => in(set_difference(X2,X3),X1) ) ),
    c_0_0 ).

fof(c_0_39,axiom,
    ! [X1] :
      ( cup_closed(X1)
    <=> ! [X2,X3] :
          ( ( in(X2,X1)
            & in(X3,X1) )
         => in(set_union2(X2,X3),X1) ) ),
    c_0_1 ).

fof(c_0_40,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    c_0_2 ).

fof(c_0_41,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    c_0_3 ).

fof(c_0_42,plain,
    ! [X1,X2] :
      ( ~ empty(X1)
     => ~ empty(set_union2(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_43,plain,
    ! [X1,X2] :
      ( ~ empty(X1)
     => ~ empty(set_union2(X1,X2)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_44,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    c_0_6 ).

fof(c_0_45,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_46,axiom,
    ! [X1,X2] :
      ( ( finite(X1)
        & finite(X2) )
     => finite(set_union2(X1,X2)) ),
    c_0_8 ).

fof(c_0_47,axiom,
    ! [X1] :
      ( finite(X1)
     => ! [X2] :
          ( element(X2,powerset(X1))
         => finite(X2) ) ),
    c_0_9 ).

fof(c_0_48,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    c_0_10 ).

fof(c_0_49,axiom,
    ! [X1,X2] :
      ( finite(X1)
     => finite(set_difference(X1,X2)) ),
    c_0_11 ).

fof(c_0_50,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    c_0_12 ).

fof(c_0_51,plain,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2)
          & finite(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_52,plain,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2)
          & finite(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_53,plain,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_54,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    c_0_16 ).

fof(c_0_55,axiom,
    ! [X1,X2] : set_union2(X1,X2) = set_union2(X2,X1),
    c_0_17 ).

fof(c_0_56,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    c_0_18 ).

fof(c_0_57,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2)
      & relation(X2)
      & function(X2)
      & one_to_one(X2)
      & epsilon_transitive(X2)
      & epsilon_connected(X2)
      & ordinal(X2)
      & natural(X2)
      & finite(X2) ),
    c_0_19 ).

fof(c_0_58,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    c_0_20 ).

fof(c_0_59,axiom,
    ! [X1] :
      ( preboolean(X1)
    <=> ( cup_closed(X1)
        & diff_closed(X1) ) ),
    c_0_21 ).

fof(c_0_60,axiom,
    ! [X1] :
      ( ( cup_closed(X1)
        & diff_closed(X1) )
     => preboolean(X1) ),
    c_0_22 ).

fof(c_0_61,plain,
    ! [X1] : ~ empty(powerset(X1)),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_62,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    c_0_24 ).

fof(c_0_63,axiom,
    ! [X1,X2] : set_union2(X1,X1) = X1,
    c_0_25 ).

fof(c_0_64,axiom,
    ! [X1,X2] : subset(X1,X1),
    c_0_26 ).

fof(c_0_65,axiom,
    ! [X1] : set_difference(X1,empty_set) = X1,
    c_0_27 ).

fof(c_0_66,axiom,
    ! [X1] : set_union2(X1,empty_set) = X1,
    c_0_28 ).

fof(c_0_67,axiom,
    ! [X1] : set_difference(empty_set,X1) = empty_set,
    c_0_29 ).

fof(c_0_68,axiom,
    ! [X1] :
      ( preboolean(X1)
     => ( cup_closed(X1)
        & diff_closed(X1) ) ),
    c_0_30 ).

fof(c_0_69,axiom,
    ! [X1] :
      ( empty(X1)
     => finite(X1) ),
    c_0_31 ).

fof(c_0_70,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    c_0_32 ).

fof(c_0_71,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_72,plain,
    ? [X1] :
      ( ~ empty(X1)
      & cup_closed(X1)
      & cap_closed(X1)
      & diff_closed(X1)
      & preboolean(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_73,plain,
    ? [X1] :
      ( ~ empty(X1)
      & finite(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_74,axiom,
    ? [X1] : empty(X1),
    c_0_36 ).

fof(c_0_75,axiom,
    empty(empty_set),
    c_0_37 ).

fof(c_0_76,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ diff_closed(X4)
        | ~ in(X5,X4)
        | ~ in(X6,X4)
        | in(set_difference(X5,X6),X4) )
      & ( in(esk3_1(X7),X7)
        | diff_closed(X7) )
      & ( in(esk4_1(X7),X7)
        | diff_closed(X7) )
      & ( ~ in(set_difference(esk3_1(X7),esk4_1(X7)),X7)
        | diff_closed(X7) ) ),
    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_38])])])])])]) ).

fof(c_0_77,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ cup_closed(X4)
        | ~ in(X5,X4)
        | ~ in(X6,X4)
        | in(set_union2(X5,X6),X4) )
      & ( in(esk1_1(X7),X7)
        | cup_closed(X7) )
      & ( in(esk2_1(X7),X7)
        | cup_closed(X7) )
      & ( ~ in(set_union2(esk1_1(X7),esk2_1(X7)),X7)
        | cup_closed(X7) ) ),
    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_39])])])])])]) ).

fof(c_0_78,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | element(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])]) ).

fof(c_0_79,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])]) ).

fof(c_0_80,plain,
    ! [X3,X4] :
      ( empty(X3)
      | ~ empty(set_union2(X4,X3)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])])]) ).

fof(c_0_81,plain,
    ! [X3,X4] :
      ( empty(X3)
      | ~ empty(set_union2(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).

fof(c_0_82,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ element(X3,powerset(X4))
        | subset(X3,X4) )
      & ( ~ subset(X5,X6)
        | element(X5,powerset(X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

fof(c_0_83,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_45])]) ).

fof(c_0_84,plain,
    ! [X3,X4] :
      ( ~ finite(X3)
      | ~ finite(X4)
      | finite(set_union2(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).

fof(c_0_85,plain,
    ! [X3,X4] :
      ( ~ finite(X3)
      | ~ element(X4,powerset(X3))
      | finite(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])])]) ).

fof(c_0_86,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])]) ).

fof(c_0_87,plain,
    ! [X3,X4] :
      ( ~ finite(X3)
      | finite(set_difference(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_88,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | element(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).

fof(c_0_89,plain,
    ! [X3] :
      ( ( element(esk14_1(X3),powerset(X3))
        | empty(X3) )
      & ( ~ empty(esk14_1(X3))
        | empty(X3) )
      & ( finite(esk14_1(X3))
        | empty(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).

fof(c_0_90,plain,
    ! [X3] :
      ( ( element(esk13_1(X3),powerset(X3))
        | empty(X3) )
      & ( ~ empty(esk13_1(X3))
        | empty(X3) )
      & ( finite(esk13_1(X3))
        | empty(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])])]) ).

fof(c_0_91,plain,
    ! [X3] :
      ( ( element(esk8_1(X3),powerset(X3))
        | empty(X3) )
      & ( ~ empty(esk8_1(X3))
        | empty(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])])]) ).

fof(c_0_92,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_54])]) ).

fof(c_0_93,plain,
    ! [X3,X4] : set_union2(X3,X4) = set_union2(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_55]) ).

fof(c_0_94,plain,
    ! [X3] :
      ( element(esk11_1(X3),powerset(X3))
      & empty(esk11_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).

fof(c_0_95,plain,
    ! [X3] :
      ( element(esk10_1(X3),powerset(X3))
      & empty(esk10_1(X3))
      & relation(esk10_1(X3))
      & function(esk10_1(X3))
      & one_to_one(esk10_1(X3))
      & epsilon_transitive(esk10_1(X3))
      & epsilon_connected(esk10_1(X3))
      & ordinal(esk10_1(X3))
      & natural(esk10_1(X3))
      & finite(esk10_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_57])]) ).

fof(c_0_96,plain,
    ! [X3] : element(esk5_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_58])]) ).

fof(c_0_97,plain,
    ! [X2,X3] :
      ( ( cup_closed(X2)
        | ~ preboolean(X2) )
      & ( diff_closed(X2)
        | ~ preboolean(X2) )
      & ( ~ cup_closed(X3)
        | ~ diff_closed(X3)
        | preboolean(X3) ) ),
    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_59])])])])]) ).

fof(c_0_98,plain,
    ! [X2] :
      ( ~ cup_closed(X2)
      | ~ diff_closed(X2)
      | preboolean(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).

fof(c_0_99,plain,
    ! [X2] : ~ empty(powerset(X2)),
    inference(variable_rename,[status(thm)],[c_0_61]) ).

fof(c_0_100,plain,
    ! [X3,X4] :
      ( ~ empty(X3)
      | X3 = X4
      | ~ empty(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).

fof(c_0_101,plain,
    ! [X3,X4] : set_union2(X3,X3) = X3,
    inference(variable_rename,[status(thm)],[c_0_63]) ).

fof(c_0_102,plain,
    ! [X3,X4] : subset(X3,X3),
    inference(variable_rename,[status(thm)],[c_0_64]) ).

fof(c_0_103,plain,
    ! [X2] : set_difference(X2,empty_set) = X2,
    inference(variable_rename,[status(thm)],[c_0_65]) ).

fof(c_0_104,plain,
    ! [X2] : set_union2(X2,empty_set) = X2,
    inference(variable_rename,[status(thm)],[c_0_66]) ).

fof(c_0_105,plain,
    ! [X2] : set_difference(empty_set,X2) = empty_set,
    inference(variable_rename,[status(thm)],[c_0_67]) ).

fof(c_0_106,plain,
    ! [X2] :
      ( ( cup_closed(X2)
        | ~ preboolean(X2) )
      & ( diff_closed(X2)
        | ~ preboolean(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_68])])]) ).

fof(c_0_107,plain,
    ! [X2] :
      ( ~ empty(X2)
      | finite(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])]) ).

fof(c_0_108,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_70])]) ).

fof(c_0_109,plain,
    ~ empty(esk12_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_71])]) ).

fof(c_0_110,plain,
    ( ~ empty(esk7_0)
    & cup_closed(esk7_0)
    & cap_closed(esk7_0)
    & diff_closed(esk7_0)
    & preboolean(esk7_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_72])]) ).

fof(c_0_111,plain,
    ( ~ empty(esk6_0)
    & finite(esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_73])]) ).

fof(c_0_112,plain,
    empty(esk9_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_74])]) ).

fof(c_0_113,axiom,
    empty(empty_set),
    c_0_75 ).

cnf(c_0_114,plain,
    ( diff_closed(X1)
    | ~ in(set_difference(esk3_1(X1),esk4_1(X1)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_115,plain,
    ( cup_closed(X1)
    | ~ in(set_union2(esk1_1(X1),esk2_1(X1)),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_116,plain,
    ( in(set_difference(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ diff_closed(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_117,plain,
    ( in(set_union2(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ cup_closed(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_118,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_119,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_120,plain,
    ( empty(X2)
    | ~ empty(set_union2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_121,plain,
    ( empty(X1)
    | ~ empty(set_union2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_122,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_123,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_124,plain,
    ( finite(set_union2(X1,X2))
    | ~ finite(X2)
    | ~ finite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_125,plain,
    ( finite(X1)
    | ~ element(X1,powerset(X2))
    | ~ finite(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_126,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_127,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_128,plain,
    ( finite(set_difference(X1,X2))
    | ~ finite(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_129,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_130,plain,
    ( empty(X1)
    | element(esk14_1(X1),powerset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_131,plain,
    ( empty(X1)
    | element(esk13_1(X1),powerset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_132,plain,
    ( empty(X1)
    | element(esk8_1(X1),powerset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_133,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_134,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_135,plain,
    element(esk11_1(X1),powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_136,plain,
    element(esk10_1(X1),powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_137,plain,
    ( diff_closed(X1)
    | in(esk3_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_138,plain,
    ( diff_closed(X1)
    | in(esk4_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_139,plain,
    ( cup_closed(X1)
    | in(esk1_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_140,plain,
    ( cup_closed(X1)
    | in(esk2_1(X1),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_141,plain,
    ( empty(X1)
    | ~ empty(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_142,plain,
    ( empty(X1)
    | ~ empty(esk13_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_143,plain,
    ( empty(X1)
    | ~ empty(esk8_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_144,plain,
    element(esk5_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_145,plain,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_146,plain,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_147,plain,
    ~ empty(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_148,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_149,plain,
    ( empty(X1)
    | finite(esk14_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_150,plain,
    ( empty(X1)
    | finite(esk13_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_151,plain,
    set_union2(X1,X1) = X1,
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_152,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_102]) ).

cnf(c_0_153,plain,
    set_difference(X1,empty_set) = X1,
    inference(split_conjunct,[status(thm)],[c_0_103]) ).

cnf(c_0_154,plain,
    set_union2(X1,empty_set) = X1,
    inference(split_conjunct,[status(thm)],[c_0_104]) ).

cnf(c_0_155,plain,
    set_difference(empty_set,X1) = empty_set,
    inference(split_conjunct,[status(thm)],[c_0_105]) ).

cnf(c_0_156,plain,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_157,plain,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_158,plain,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_159,plain,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_106]) ).

cnf(c_0_160,plain,
    ( finite(X1)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_107]) ).

cnf(c_0_161,plain,
    empty(esk11_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_162,plain,
    empty(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_163,plain,
    relation(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_164,plain,
    function(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_165,plain,
    one_to_one(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_166,plain,
    epsilon_transitive(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_167,plain,
    epsilon_connected(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_168,plain,
    ordinal(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_169,plain,
    natural(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_170,plain,
    finite(esk10_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_171,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_108]) ).

cnf(c_0_172,plain,
    ~ empty(esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_109]) ).

cnf(c_0_173,plain,
    ~ empty(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_174,plain,
    ~ empty(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_175,plain,
    empty(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_112]) ).

cnf(c_0_176,plain,
    cup_closed(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_177,plain,
    cap_closed(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_178,plain,
    diff_closed(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_179,plain,
    preboolean(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_110]) ).

cnf(c_0_180,plain,
    finite(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_111]) ).

cnf(c_0_181,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_113]) ).

cnf(c_0_182,plain,
    ( diff_closed(X1)
    | ~ in(set_difference(esk3_1(X1),esk4_1(X1)),X1) ),
    c_0_114,
    [final] ).

cnf(c_0_183,plain,
    ( cup_closed(X1)
    | ~ in(set_union2(esk1_1(X1),esk2_1(X1)),X1) ),
    c_0_115,
    [final] ).

cnf(c_0_184,plain,
    ( in(set_difference(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ diff_closed(X3) ),
    c_0_116,
    [final] ).

cnf(c_0_185,plain,
    ( in(set_union2(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ cup_closed(X3) ),
    c_0_117,
    [final] ).

cnf(c_0_186,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    c_0_118,
    [final] ).

cnf(c_0_187,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    c_0_119,
    [final] ).

cnf(c_0_188,plain,
    ( empty(X2)
    | ~ empty(set_union2(X1,X2)) ),
    c_0_120,
    [final] ).

cnf(c_0_189,plain,
    ( empty(X1)
    | ~ empty(set_union2(X1,X2)) ),
    c_0_121,
    [final] ).

cnf(c_0_190,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    c_0_122,
    [final] ).

cnf(c_0_191,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    c_0_123,
    [final] ).

cnf(c_0_192,plain,
    ( finite(set_union2(X1,X2))
    | ~ finite(X2)
    | ~ finite(X1) ),
    c_0_124,
    [final] ).

cnf(c_0_193,plain,
    ( finite(X1)
    | ~ element(X1,powerset(X2))
    | ~ finite(X2) ),
    c_0_125,
    [final] ).

cnf(c_0_194,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    c_0_126,
    [final] ).

cnf(c_0_195,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    c_0_127,
    [final] ).

cnf(c_0_196,plain,
    ( finite(set_difference(X1,X2))
    | ~ finite(X1) ),
    c_0_128,
    [final] ).

cnf(c_0_197,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    c_0_129,
    [final] ).

cnf(c_0_198,plain,
    ( empty(X1)
    | element(esk14_1(X1),powerset(X1)) ),
    c_0_130,
    [final] ).

cnf(c_0_199,plain,
    ( empty(X1)
    | element(esk13_1(X1),powerset(X1)) ),
    c_0_131,
    [final] ).

cnf(c_0_200,plain,
    ( empty(X1)
    | element(esk8_1(X1),powerset(X1)) ),
    c_0_132,
    [final] ).

cnf(c_0_201,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    c_0_133,
    [final] ).

cnf(c_0_202,plain,
    set_union2(X1,X2) = set_union2(X2,X1),
    c_0_134,
    [final] ).

cnf(c_0_203,plain,
    element(esk11_1(X1),powerset(X1)),
    c_0_135,
    [final] ).

cnf(c_0_204,plain,
    element(esk10_1(X1),powerset(X1)),
    c_0_136,
    [final] ).

cnf(c_0_205,plain,
    ( diff_closed(X1)
    | in(esk3_1(X1),X1) ),
    c_0_137,
    [final] ).

cnf(c_0_206,plain,
    ( diff_closed(X1)
    | in(esk4_1(X1),X1) ),
    c_0_138,
    [final] ).

cnf(c_0_207,plain,
    ( cup_closed(X1)
    | in(esk1_1(X1),X1) ),
    c_0_139,
    [final] ).

cnf(c_0_208,plain,
    ( cup_closed(X1)
    | in(esk2_1(X1),X1) ),
    c_0_140,
    [final] ).

cnf(c_0_209,plain,
    ( empty(X1)
    | ~ empty(esk14_1(X1)) ),
    c_0_141,
    [final] ).

cnf(c_0_210,plain,
    ( empty(X1)
    | ~ empty(esk13_1(X1)) ),
    c_0_142,
    [final] ).

cnf(c_0_211,plain,
    ( empty(X1)
    | ~ empty(esk8_1(X1)) ),
    c_0_143,
    [final] ).

cnf(c_0_212,plain,
    element(esk5_1(X1),X1),
    c_0_144,
    [final] ).

cnf(c_0_213,plain,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    c_0_145,
    [final] ).

cnf(c_0_214,plain,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    c_0_146,
    [final] ).

cnf(c_0_215,plain,
    ~ empty(powerset(X1)),
    c_0_147,
    [final] ).

cnf(c_0_216,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    c_0_148,
    [final] ).

cnf(c_0_217,plain,
    ( empty(X1)
    | finite(esk14_1(X1)) ),
    c_0_149,
    [final] ).

cnf(c_0_218,plain,
    ( empty(X1)
    | finite(esk13_1(X1)) ),
    c_0_150,
    [final] ).

cnf(c_0_219,plain,
    set_union2(X1,X1) = X1,
    c_0_151,
    [final] ).

cnf(c_0_220,plain,
    subset(X1,X1),
    c_0_152,
    [final] ).

cnf(c_0_221,plain,
    set_difference(X1,empty_set) = X1,
    c_0_153,
    [final] ).

cnf(c_0_222,plain,
    set_union2(X1,empty_set) = X1,
    c_0_154,
    [final] ).

cnf(c_0_223,plain,
    set_difference(empty_set,X1) = empty_set,
    c_0_155,
    [final] ).

cnf(c_0_224,plain,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    c_0_156,
    [final] ).

cnf(c_0_225,plain,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    c_0_157,
    [final] ).

cnf(c_0_226,plain,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    c_0_158,
    [final] ).

cnf(c_0_227,plain,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    c_0_159,
    [final] ).

cnf(c_0_228,plain,
    ( finite(X1)
    | ~ empty(X1) ),
    c_0_160,
    [final] ).

cnf(c_0_229,plain,
    empty(esk11_1(X1)),
    c_0_161,
    [final] ).

cnf(c_0_230,plain,
    empty(esk10_1(X1)),
    c_0_162,
    [final] ).

cnf(c_0_231,plain,
    relation(esk10_1(X1)),
    c_0_163,
    [final] ).

cnf(c_0_232,plain,
    function(esk10_1(X1)),
    c_0_164,
    [final] ).

cnf(c_0_233,plain,
    one_to_one(esk10_1(X1)),
    c_0_165,
    [final] ).

cnf(c_0_234,plain,
    epsilon_transitive(esk10_1(X1)),
    c_0_166,
    [final] ).

cnf(c_0_235,plain,
    epsilon_connected(esk10_1(X1)),
    c_0_167,
    [final] ).

cnf(c_0_236,plain,
    ordinal(esk10_1(X1)),
    c_0_168,
    [final] ).

cnf(c_0_237,plain,
    natural(esk10_1(X1)),
    c_0_169,
    [final] ).

cnf(c_0_238,plain,
    finite(esk10_1(X1)),
    c_0_170,
    [final] ).

cnf(c_0_239,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    c_0_171,
    [final] ).

cnf(c_0_240,plain,
    ~ empty(esk12_0),
    c_0_172,
    [final] ).

cnf(c_0_241,plain,
    ~ empty(esk7_0),
    c_0_173,
    [final] ).

cnf(c_0_242,plain,
    ~ empty(esk6_0),
    c_0_174,
    [final] ).

cnf(c_0_243,plain,
    empty(esk9_0),
    c_0_175,
    [final] ).

cnf(c_0_244,plain,
    cup_closed(esk7_0),
    c_0_176,
    [final] ).

cnf(c_0_245,plain,
    cap_closed(esk7_0),
    c_0_177,
    [final] ).

cnf(c_0_246,plain,
    diff_closed(esk7_0),
    c_0_178,
    [final] ).

cnf(c_0_247,plain,
    preboolean(esk7_0),
    c_0_179,
    [final] ).

cnf(c_0_248,plain,
    finite(esk6_0),
    c_0_180,
    [final] ).

cnf(c_0_249,plain,
    empty(empty_set),
    c_0_181,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_182_0,axiom,
    ( diff_closed(X1)
    | ~ in(set_difference(sk1_esk3_1(X1),sk1_esk4_1(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_1,axiom,
    ( ~ in(set_difference(sk1_esk3_1(X1),sk1_esk4_1(X1)),X1)
    | diff_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_183_0,axiom,
    ( cup_closed(X1)
    | ~ in(set_union2(sk1_esk1_1(X1),sk1_esk2_1(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_1,axiom,
    ( ~ in(set_union2(sk1_esk1_1(X1),sk1_esk2_1(X1)),X1)
    | cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_184_0,axiom,
    ( in(set_difference(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ diff_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_1,axiom,
    ( ~ in(X2,X3)
    | in(set_difference(X1,X2),X3)
    | ~ in(X1,X3)
    | ~ diff_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_2,axiom,
    ( ~ in(X1,X3)
    | ~ in(X2,X3)
    | in(set_difference(X1,X2),X3)
    | ~ diff_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_3,axiom,
    ( ~ diff_closed(X3)
    | ~ in(X1,X3)
    | ~ in(X2,X3)
    | in(set_difference(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_0,axiom,
    ( in(set_union2(X1,X2),X3)
    | ~ in(X2,X3)
    | ~ in(X1,X3)
    | ~ cup_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_1,axiom,
    ( ~ in(X2,X3)
    | in(set_union2(X1,X2),X3)
    | ~ in(X1,X3)
    | ~ cup_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_2,axiom,
    ( ~ in(X1,X3)
    | ~ in(X2,X3)
    | in(set_union2(X1,X2),X3)
    | ~ cup_closed(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_3,axiom,
    ( ~ cup_closed(X3)
    | ~ in(X1,X3)
    | ~ in(X2,X3)
    | in(set_union2(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_0,axiom,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_1,axiom,
    ( ~ element(X3,powerset(X2))
    | element(X1,X2)
    | ~ in(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_2,axiom,
    ( ~ in(X1,X3)
    | ~ element(X3,powerset(X2))
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_187_0,axiom,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_1,axiom,
    ( ~ element(X2,powerset(X1))
    | ~ empty(X1)
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_2,axiom,
    ( ~ in(X3,X2)
    | ~ element(X2,powerset(X1))
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_0,axiom,
    ( empty(X2)
    | ~ empty(set_union2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_1,axiom,
    ( ~ empty(set_union2(X1,X2))
    | empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_0,axiom,
    ( empty(X1)
    | ~ empty(set_union2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_1,axiom,
    ( ~ empty(set_union2(X1,X2))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_0,axiom,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_1,axiom,
    ( ~ element(X1,powerset(X2))
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_0,axiom,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_1,axiom,
    ( ~ in(X2,X1)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_0,axiom,
    ( finite(set_union2(X1,X2))
    | ~ finite(X2)
    | ~ finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_1,axiom,
    ( ~ finite(X2)
    | finite(set_union2(X1,X2))
    | ~ finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_2,axiom,
    ( ~ finite(X1)
    | ~ finite(X2)
    | finite(set_union2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_193_0,axiom,
    ( finite(X1)
    | ~ element(X1,powerset(X2))
    | ~ finite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_1,axiom,
    ( ~ element(X1,powerset(X2))
    | finite(X1)
    | ~ finite(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_2,axiom,
    ( ~ finite(X2)
    | ~ element(X1,powerset(X2))
    | finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_0,axiom,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_1,axiom,
    ( ~ subset(X1,X2)
    | element(X1,powerset(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_195_0,axiom,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_1,axiom,
    ( empty(X2)
    | in(X1,X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_2,axiom,
    ( ~ element(X1,X2)
    | empty(X2)
    | in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_0,axiom,
    ( finite(set_difference(X1,X2))
    | ~ finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_1,axiom,
    ( ~ finite(X1)
    | finite(set_difference(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_197_0,axiom,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_1,axiom,
    ( ~ in(X1,X2)
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_198_0,axiom,
    ( empty(X1)
    | element(sk1_esk14_1(X1),powerset(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_1,axiom,
    ( element(sk1_esk14_1(X1),powerset(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_199_0,axiom,
    ( empty(X1)
    | element(sk1_esk13_1(X1),powerset(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_1,axiom,
    ( element(sk1_esk13_1(X1),powerset(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_200_0,axiom,
    ( empty(X1)
    | element(sk1_esk8_1(X1),powerset(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_1,axiom,
    ( element(sk1_esk8_1(X1),powerset(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_201_0,axiom,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_1,axiom,
    ( ~ in(X2,X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_205_0,axiom,
    ( diff_closed(X1)
    | in(sk1_esk3_1(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_1,axiom,
    ( in(sk1_esk3_1(X1),X1)
    | diff_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_206_0,axiom,
    ( diff_closed(X1)
    | in(sk1_esk4_1(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_1,axiom,
    ( in(sk1_esk4_1(X1),X1)
    | diff_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_207_0,axiom,
    ( cup_closed(X1)
    | in(sk1_esk1_1(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_1,axiom,
    ( in(sk1_esk1_1(X1),X1)
    | cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_208_0,axiom,
    ( cup_closed(X1)
    | in(sk1_esk2_1(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_1,axiom,
    ( in(sk1_esk2_1(X1),X1)
    | cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_209_0,axiom,
    ( empty(X1)
    | ~ empty(sk1_esk14_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_1,axiom,
    ( ~ empty(sk1_esk14_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_210_0,axiom,
    ( empty(X1)
    | ~ empty(sk1_esk13_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_1,axiom,
    ( ~ empty(sk1_esk13_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_211_0,axiom,
    ( empty(X1)
    | ~ empty(sk1_esk8_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_1,axiom,
    ( ~ empty(sk1_esk8_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_213_0,axiom,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_1,axiom,
    ( ~ diff_closed(X1)
    | preboolean(X1)
    | ~ cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_2,axiom,
    ( ~ cup_closed(X1)
    | ~ diff_closed(X1)
    | preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_214_0,axiom,
    ( preboolean(X1)
    | ~ diff_closed(X1)
    | ~ cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_1,axiom,
    ( ~ diff_closed(X1)
    | preboolean(X1)
    | ~ cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_2,axiom,
    ( ~ cup_closed(X1)
    | ~ diff_closed(X1)
    | preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_216_0,axiom,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_1,axiom,
    ( ~ empty(X1)
    | X2 = X1
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_2,axiom,
    ( ~ empty(X2)
    | ~ empty(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_217_0,axiom,
    ( empty(X1)
    | finite(sk1_esk14_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_217_1,axiom,
    ( finite(sk1_esk14_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_218_0,axiom,
    ( empty(X1)
    | finite(sk1_esk13_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_218_1,axiom,
    ( finite(sk1_esk13_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_224_0,axiom,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_224_1,axiom,
    ( ~ preboolean(X1)
    | cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_225_0,axiom,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_1,axiom,
    ( ~ preboolean(X1)
    | diff_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_226_0,axiom,
    ( cup_closed(X1)
    | ~ preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_1,axiom,
    ( ~ preboolean(X1)
    | cup_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_227_0,axiom,
    ( diff_closed(X1)
    | ~ preboolean(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_1,axiom,
    ( ~ preboolean(X1)
    | diff_closed(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_228_0,axiom,
    ( finite(X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_228_1,axiom,
    ( ~ empty(X1)
    | finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_239_0,axiom,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_239_1,axiom,
    ( ~ empty(X1)
    | X1 = empty_set ),
    inference(literals_permutation,[status(thm)],[c_0_239]) ).

cnf(c_0_215_0,axiom,
    ~ empty(powerset(X1)),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_240_0,axiom,
    ~ empty(sk1_esk12_0),
    inference(literals_permutation,[status(thm)],[c_0_240]) ).

cnf(c_0_241_0,axiom,
    ~ empty(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_241]) ).

cnf(c_0_242_0,axiom,
    ~ empty(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_242]) ).

cnf(c_0_202_0,axiom,
    set_union2(X1,X2) = set_union2(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_203_0,axiom,
    element(sk1_esk11_1(X1),powerset(X1)),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_204_0,axiom,
    element(sk1_esk10_1(X1),powerset(X1)),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_212_0,axiom,
    element(sk1_esk5_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_219_0,axiom,
    set_union2(X1,X1) = X1,
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_220_0,axiom,
    subset(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_221_0,axiom,
    set_difference(X1,empty_set) = X1,
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_222_0,axiom,
    set_union2(X1,empty_set) = X1,
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_223_0,axiom,
    set_difference(empty_set,X1) = empty_set,
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_229_0,axiom,
    empty(sk1_esk11_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

cnf(c_0_230_0,axiom,
    empty(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_230]) ).

cnf(c_0_231_0,axiom,
    relation(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_231]) ).

cnf(c_0_232_0,axiom,
    function(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_232]) ).

cnf(c_0_233_0,axiom,
    one_to_one(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_233]) ).

cnf(c_0_234_0,axiom,
    epsilon_transitive(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_234]) ).

cnf(c_0_235_0,axiom,
    epsilon_connected(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_235]) ).

cnf(c_0_236_0,axiom,
    ordinal(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_236]) ).

cnf(c_0_237_0,axiom,
    natural(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_237]) ).

cnf(c_0_238_0,axiom,
    finite(sk1_esk10_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_238]) ).

cnf(c_0_243_0,axiom,
    empty(sk1_esk9_0),
    inference(literals_permutation,[status(thm)],[c_0_243]) ).

cnf(c_0_244_0,axiom,
    cup_closed(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_244]) ).

cnf(c_0_245_0,axiom,
    cap_closed(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_245]) ).

cnf(c_0_246_0,axiom,
    diff_closed(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_246]) ).

cnf(c_0_247_0,axiom,
    preboolean(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_247]) ).

cnf(c_0_248_0,axiom,
    finite(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_248]) ).

cnf(c_0_249_0,axiom,
    empty(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_249]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1] :
      ( preboolean(X1)
    <=> ! [X2,X3] :
          ( ( in(X2,X1)
            & in(X3,X1) )
         => ( in(set_union2(X2,X3),X1)
            & in(set_difference(X2,X3),X1) ) ) ),
    file('<stdin>',t10_finsub_1) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1] :
        ( preboolean(X1)
      <=> ! [X2,X3] :
            ( ( in(X2,X1)
              & in(X3,X1) )
           => ( in(set_union2(X2,X3),X1)
              & in(set_difference(X2,X3),X1) ) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X7,X8] :
      ( ( in(esk2_0,esk1_0)
        | ~ preboolean(esk1_0) )
      & ( in(esk3_0,esk1_0)
        | ~ preboolean(esk1_0) )
      & ( ~ in(set_union2(esk2_0,esk3_0),esk1_0)
        | ~ in(set_difference(esk2_0,esk3_0),esk1_0)
        | ~ preboolean(esk1_0) )
      & ( in(set_union2(X7,X8),esk1_0)
        | ~ in(X7,esk1_0)
        | ~ in(X8,esk1_0)
        | preboolean(esk1_0) )
      & ( in(set_difference(X7,X8),esk1_0)
        | ~ in(X7,esk1_0)
        | ~ in(X8,esk1_0)
        | preboolean(esk1_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( ~ preboolean(esk1_0)
    | ~ in(set_difference(esk2_0,esk3_0),esk1_0)
    | ~ in(set_union2(esk2_0,esk3_0),esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( preboolean(esk1_0)
    | in(set_union2(X2,X1),esk1_0)
    | ~ in(X1,esk1_0)
    | ~ in(X2,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( preboolean(esk1_0)
    | in(set_difference(X2,X1),esk1_0)
    | ~ in(X1,esk1_0)
    | ~ in(X2,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( in(esk2_0,esk1_0)
    | ~ preboolean(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( in(esk3_0,esk1_0)
    | ~ preboolean(esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ( ~ preboolean(esk1_0)
    | ~ in(set_difference(esk2_0,esk3_0),esk1_0)
    | ~ in(set_union2(esk2_0,esk3_0),esk1_0) ),
    c_0_3,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    ( preboolean(esk1_0)
    | in(set_union2(X2,X1),esk1_0)
    | ~ in(X1,esk1_0)
    | ~ in(X2,esk1_0) ),
    c_0_4,
    [final] ).

cnf(c_0_10_011,negated_conjecture,
    ( preboolean(esk1_0)
    | in(set_difference(X2,X1),esk1_0)
    | ~ in(X1,esk1_0)
    | ~ in(X2,esk1_0) ),
    c_0_5,
    [final] ).

cnf(c_0_11_012,negated_conjecture,
    ( in(esk2_0,esk1_0)
    | ~ preboolean(esk1_0) ),
    c_0_6,
    [final] ).

cnf(c_0_12_013,negated_conjecture,
    ( in(esk3_0,esk1_0)
    | ~ preboolean(esk1_0) ),
    c_0_7,
    [final] ).

% End CNF derivation

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

cnf(c_122,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_12) ).

cnf(c_184,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_122]) ).

cnf(c_200,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_184]) ).

cnf(c_201,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_200]) ).

cnf(c_208,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_201]) ).

cnf(c_570,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk3_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_208]) ).

cnf(c_108,plain,
    ( ~ cup_closed(X0)
    | ~ in(X1,X0)
    | in(set_union2(X1,X2),X0)
    | ~ in(X2,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_185_1) ).

cnf(c_546,plain,
    ( ~ cup_closed(X0)
    | ~ in(X1,X0)
    | in(set_union2(X1,X2),X0)
    | ~ in(X2,X0) ),
    inference(copy,[status(esa)],[c_108]) ).

cnf(c_547,plain,
    ( ~ cup_closed(X0)
    | in(set_union2(X1,X2),X0)
    | ~ in(X1,X0)
    | ~ in(X2,X0) ),
    inference(rewriting,[status(thm)],[c_546]) ).

cnf(c_609,plain,
    ( ~ preboolean(sk2_esk1_0)
    | ~ cup_closed(sk2_esk1_0)
    | in(set_union2(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_570,c_547]) ).

cnf(c_610,plain,
    ( ~ preboolean(sk2_esk1_0)
    | ~ cup_closed(sk2_esk1_0)
    | in(set_union2(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_609]) ).

cnf(c_119,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_9) ).

cnf(c_178,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_119]) ).

cnf(c_197,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_178]) ).

cnf(c_204,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_197]) ).

cnf(c_210,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_204]) ).

cnf(c_574,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_union2(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_210]) ).

cnf(c_114,plain,
    ( cup_closed(X0)
    | ~ in(set_union2(sk1_esk1_1(X0),sk1_esk2_1(X0)),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_183_1) ).

cnf(c_558,plain,
    ( cup_closed(X0)
    | ~ in(set_union2(sk1_esk1_1(X0),sk1_esk2_1(X0)),X0) ),
    inference(copy,[status(esa)],[c_114]) ).

cnf(c_664,plain,
    ( preboolean(sk2_esk1_0)
    | cup_closed(sk2_esk1_0)
    | ~ in(sk1_esk2_1(sk2_esk1_0),sk2_esk1_0)
    | ~ in(sk1_esk1_1(sk2_esk1_0),sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_574,c_558]) ).

cnf(c_665,plain,
    ( preboolean(sk2_esk1_0)
    | cup_closed(sk2_esk1_0)
    | ~ in(sk1_esk2_1(sk2_esk1_0),sk2_esk1_0)
    | ~ in(sk1_esk1_1(sk2_esk1_0),sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_664]) ).

cnf(c_63,plain,
    ( cup_closed(X0)
    | in(sk1_esk1_1(X0),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_207_1) ).

cnf(c_456,plain,
    ( cup_closed(X0)
    | in(sk1_esk1_1(X0),X0) ),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_61,plain,
    ( cup_closed(X0)
    | in(sk1_esk2_1(X0),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_208_1) ).

cnf(c_452,plain,
    ( cup_closed(X0)
    | in(sk1_esk2_1(X0),X0) ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_36,plain,
    ( cup_closed(X0)
    | ~ preboolean(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_226_1) ).

cnf(c_402,plain,
    ( cup_closed(X0)
    | ~ preboolean(X0) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_403,plain,
    ( ~ preboolean(X0)
    | cup_closed(X0) ),
    inference(rewriting,[status(thm)],[c_402]) ).

cnf(c_711,plain,
    cup_closed(sk2_esk1_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_665,c_456,c_452,c_403]) ).

cnf(c_712,plain,
    cup_closed(sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_711]) ).

cnf(c_49,plain,
    ( preboolean(X0)
    | ~ diff_closed(X0)
    | ~ cup_closed(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_214_2) ).

cnf(c_428,plain,
    ( preboolean(X0)
    | ~ diff_closed(X0)
    | ~ cup_closed(X0) ),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_714,plain,
    ( preboolean(sk2_esk1_0)
    | ~ diff_closed(sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_712,c_428]) ).

cnf(c_715,plain,
    ( preboolean(sk2_esk1_0)
    | ~ diff_closed(sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_714]) ).

cnf(c_120,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_10) ).

cnf(c_180,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_120]) ).

cnf(c_198,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_180]) ).

cnf(c_203,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_198]) ).

cnf(c_206,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_203]) ).

cnf(c_566,negated_conjecture,
    ( preboolean(sk2_esk1_0)
    | in(set_difference(X0,X1),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0)
    | ~ in(X1,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_206]) ).

cnf(c_116,plain,
    ( diff_closed(X0)
    | ~ in(set_difference(sk1_esk3_1(X0),sk1_esk4_1(X0)),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_182_1) ).

cnf(c_562,plain,
    ( diff_closed(X0)
    | ~ in(set_difference(sk1_esk3_1(X0),sk1_esk4_1(X0)),X0) ),
    inference(copy,[status(esa)],[c_116]) ).

cnf(c_634,plain,
    ( preboolean(sk2_esk1_0)
    | diff_closed(sk2_esk1_0)
    | ~ in(sk1_esk4_1(sk2_esk1_0),sk2_esk1_0)
    | ~ in(sk1_esk3_1(sk2_esk1_0),sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_566,c_562]) ).

cnf(c_635,plain,
    ( preboolean(sk2_esk1_0)
    | diff_closed(sk2_esk1_0)
    | ~ in(sk1_esk4_1(sk2_esk1_0),sk2_esk1_0)
    | ~ in(sk1_esk3_1(sk2_esk1_0),sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_634]) ).

cnf(c_67,plain,
    ( diff_closed(X0)
    | in(sk1_esk3_1(X0),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_205_1) ).

cnf(c_464,plain,
    ( diff_closed(X0)
    | in(sk1_esk3_1(X0),X0) ),
    inference(copy,[status(esa)],[c_67]) ).

cnf(c_65,plain,
    ( diff_closed(X0)
    | in(sk1_esk4_1(X0),X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_206_1) ).

cnf(c_460,plain,
    ( diff_closed(X0)
    | in(sk1_esk4_1(X0),X0) ),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_34,plain,
    ( diff_closed(X0)
    | ~ preboolean(X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_227_1) ).

cnf(c_398,plain,
    ( diff_closed(X0)
    | ~ preboolean(X0) ),
    inference(copy,[status(esa)],[c_34]) ).

cnf(c_399,plain,
    ( ~ preboolean(X0)
    | diff_closed(X0) ),
    inference(rewriting,[status(thm)],[c_398]) ).

cnf(c_702,plain,
    diff_closed(sk2_esk1_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_635,c_464,c_460,c_399]) ).

cnf(c_703,plain,
    diff_closed(sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_702]) ).

cnf(c_720,plain,
    preboolean(sk2_esk1_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_715,c_703]) ).

cnf(c_721,plain,
    preboolean(sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_720]) ).

cnf(c_829,plain,
    ( in(set_union2(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_610,c_712,c_721]) ).

cnf(c_830,plain,
    ( in(set_union2(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_829]) ).

cnf(c_118,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_8) ).

cnf(c_176,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_118]) ).

cnf(c_196,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_176]) ).

cnf(c_205,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_196]) ).

cnf(c_209,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_205]) ).

cnf(c_572,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_209]) ).

cnf(c_727,negated_conjecture,
    ( ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_721,c_572]) ).

cnf(c_736,plain,
    ( ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(set_union2(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_727]) ).

cnf(c_847,plain,
    ( ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(sk2_esk2_0,sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_830,c_736]) ).

cnf(c_848,plain,
    ( ~ in(set_difference(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(sk2_esk2_0,sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_847]) ).

cnf(c_121,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_11) ).

cnf(c_182,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_121]) ).

cnf(c_199,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_182]) ).

cnf(c_202,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_199]) ).

cnf(c_207,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_202]) ).

cnf(c_568,negated_conjecture,
    ( ~ preboolean(sk2_esk1_0)
    | in(sk2_esk2_0,sk2_esk1_0) ),
    inference(copy,[status(esa)],[c_207]) ).

cnf(c_729,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(backward_subsumption_resolution,[status(thm)],[c_721,c_568]) ).

cnf(c_734,plain,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_729]) ).

cnf(c_112,plain,
    ( ~ diff_closed(X0)
    | ~ in(X1,X0)
    | in(set_difference(X1,X2),X0)
    | ~ in(X2,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p',c_0_184_1) ).

cnf(c_554,plain,
    ( ~ diff_closed(X0)
    | ~ in(X1,X0)
    | in(set_difference(X1,X2),X0)
    | ~ in(X2,X0) ),
    inference(copy,[status(esa)],[c_112]) ).

cnf(c_555,plain,
    ( ~ diff_closed(X0)
    | in(set_difference(X1,X2),X0)
    | ~ in(X1,X0)
    | ~ in(X2,X0) ),
    inference(rewriting,[status(thm)],[c_554]) ).

cnf(c_608,plain,
    ( ~ preboolean(sk2_esk1_0)
    | ~ diff_closed(sk2_esk1_0)
    | in(set_difference(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_570,c_555]) ).

cnf(c_611,plain,
    ( ~ preboolean(sk2_esk1_0)
    | ~ diff_closed(sk2_esk1_0)
    | in(set_difference(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_608]) ).

cnf(c_853,plain,
    ( in(set_difference(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_611,c_703,c_721]) ).

cnf(c_854,plain,
    ( in(set_difference(X0,sk2_esk3_0),sk2_esk1_0)
    | ~ in(X0,sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_853]) ).

cnf(c_887,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_848,c_734,c_854]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU101+1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 22:45:38 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Running in mono-core mode
% 0.19/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.41  % FOF problem with conjecture
% 0.19/0.41  % 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/sandbox/tmp/iprover_proof_aa5f4e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5a11ab | grep -v "SZS"
% 0.20/0.44  
% 0.20/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % ------  iProver source info 
% 0.20/0.44  
% 0.20/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44  % git: non_committed_changes: true
% 0.20/0.44  % git: last_make_outside_of_git: true
% 0.20/0.44  
% 0.20/0.44  % 
% 0.20/0.44  % ------ Input Options
% 0.20/0.44  
% 0.20/0.44  % --out_options                         all
% 0.20/0.44  % --tptp_safe_out                       true
% 0.20/0.44  % --problem_path                        ""
% 0.20/0.44  % --include_path                        ""
% 0.20/0.44  % --clausifier                          .//eprover
% 0.20/0.44  % --clausifier_options                  --tstp-format  
% 0.20/0.44  % --stdin                               false
% 0.20/0.44  % --dbg_backtrace                       false
% 0.20/0.44  % --dbg_dump_prop_clauses               false
% 0.20/0.44  % --dbg_dump_prop_clauses_file          -
% 0.20/0.44  % --dbg_out_stat                        false
% 0.20/0.44  
% 0.20/0.44  % ------ General Options
% 0.20/0.44  
% 0.20/0.44  % --fof                                 false
% 0.20/0.44  % --time_out_real                       150.
% 0.20/0.44  % --time_out_prep_mult                  0.2
% 0.20/0.44  % --time_out_virtual                    -1.
% 0.20/0.44  % --schedule                            none
% 0.20/0.44  % --ground_splitting                    input
% 0.20/0.44  % --splitting_nvd                       16
% 0.20/0.44  % --non_eq_to_eq                        false
% 0.20/0.44  % --prep_gs_sim                         true
% 0.20/0.44  % --prep_unflatten                      false
% 0.20/0.44  % --prep_res_sim                        true
% 0.20/0.44  % --prep_upred                          true
% 0.20/0.44  % --res_sim_input                       true
% 0.20/0.44  % --clause_weak_htbl                    true
% 0.20/0.44  % --gc_record_bc_elim                   false
% 0.20/0.44  % --symbol_type_check                   false
% 0.20/0.44  % --clausify_out                        false
% 0.20/0.44  % --large_theory_mode                   false
% 0.20/0.44  % --prep_sem_filter                     none
% 0.20/0.44  % --prep_sem_filter_out                 false
% 0.20/0.44  % --preprocessed_out                    false
% 0.20/0.44  % --sub_typing                          false
% 0.20/0.44  % --brand_transform                     false
% 0.20/0.44  % --pure_diseq_elim                     true
% 0.20/0.44  % --min_unsat_core                      false
% 0.20/0.44  % --pred_elim                           true
% 0.20/0.44  % --add_important_lit                   false
% 0.20/0.44  % --soft_assumptions                    false
% 0.20/0.44  % --reset_solvers                       false
% 0.20/0.44  % --bc_imp_inh                          []
% 0.20/0.44  % --conj_cone_tolerance                 1.5
% 0.20/0.44  % --prolific_symb_bound                 500
% 0.20/0.44  % --lt_threshold                        2000
% 0.20/0.44  
% 0.20/0.44  % ------ SAT Options
% 0.20/0.44  
% 0.20/0.44  % --sat_mode                            false
% 0.20/0.44  % --sat_fm_restart_options              ""
% 0.20/0.44  % --sat_gr_def                          false
% 0.20/0.44  % --sat_epr_types                       true
% 0.20/0.44  % --sat_non_cyclic_types                false
% 0.20/0.44  % --sat_finite_models                   false
% 0.20/0.44  % --sat_fm_lemmas                       false
% 0.20/0.44  % --sat_fm_prep                         false
% 0.20/0.44  % --sat_fm_uc_incr                      true
% 0.20/0.44  % --sat_out_model                       small
% 0.20/0.44  % --sat_out_clauses                     false
% 0.20/0.44  
% 0.20/0.44  % ------ QBF Options
% 0.20/0.44  
% 0.20/0.44  % --qbf_mode                            false
% 0.20/0.44  % --qbf_elim_univ                       true
% 0.20/0.44  % --qbf_sk_in                           true
% 0.20/0.44  % --qbf_pred_elim                       true
% 0.20/0.44  % --qbf_split                           32
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1 Options
% 0.20/0.44  
% 0.20/0.44  % --bmc1_incremental                    false
% 0.20/0.44  % --bmc1_axioms                         reachable_all
% 0.20/0.44  % --bmc1_min_bound                      0
% 0.20/0.44  % --bmc1_max_bound                      -1
% 0.20/0.44  % --bmc1_max_bound_default              -1
% 0.20/0.44  % --bmc1_symbol_reachability            true
% 0.20/0.44  % --bmc1_property_lemmas                false
% 0.20/0.44  % --bmc1_k_induction                    false
% 0.20/0.44  % --bmc1_non_equiv_states               false
% 0.20/0.44  % --bmc1_deadlock                       false
% 0.20/0.44  % --bmc1_ucm                            false
% 0.20/0.44  % --bmc1_add_unsat_core                 none
% 0.20/0.44  % --bmc1_unsat_core_children            false
% 0.20/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.44  % --bmc1_out_stat                       full
% 0.20/0.44  % --bmc1_ground_init                    false
% 0.20/0.44  % --bmc1_pre_inst_next_state            false
% 0.20/0.44  % --bmc1_pre_inst_state                 false
% 0.20/0.44  % --bmc1_pre_inst_reach_state           false
% 0.20/0.44  % --bmc1_out_unsat_core                 false
% 0.20/0.44  % --bmc1_aig_witness_out                false
% 0.20/0.44  % --bmc1_verbose                        false
% 0.20/0.44  % --bmc1_dump_clauses_tptp              false
% 0.39/0.64  % --bmc1_dump_unsat_core_tptp           false
% 0.39/0.64  % --bmc1_dump_file                      -
% 0.39/0.64  % --bmc1_ucm_expand_uc_limit            128
% 0.39/0.64  % --bmc1_ucm_n_expand_iterations        6
% 0.39/0.64  % --bmc1_ucm_extend_mode                1
% 0.39/0.64  % --bmc1_ucm_init_mode                  2
% 0.39/0.64  % --bmc1_ucm_cone_mode                  none
% 0.39/0.64  % --bmc1_ucm_reduced_relation_type      0
% 0.39/0.64  % --bmc1_ucm_relax_model                4
% 0.39/0.64  % --bmc1_ucm_full_tr_after_sat          true
% 0.39/0.64  % --bmc1_ucm_expand_neg_assumptions     false
% 0.39/0.64  % --bmc1_ucm_layered_model              none
% 0.39/0.64  % --bmc1_ucm_max_lemma_size             10
% 0.39/0.64  
% 0.39/0.64  % ------ AIG Options
% 0.39/0.64  
% 0.39/0.64  % --aig_mode                            false
% 0.39/0.64  
% 0.39/0.64  % ------ Instantiation Options
% 0.39/0.64  
% 0.39/0.64  % --instantiation_flag                  true
% 0.39/0.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.39/0.64  % --inst_solver_per_active              750
% 0.39/0.64  % --inst_solver_calls_frac              0.5
% 0.39/0.64  % --inst_passive_queue_type             priority_queues
% 0.39/0.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.39/0.64  % --inst_passive_queues_freq            [25;2]
% 0.39/0.64  % --inst_dismatching                    true
% 0.39/0.64  % --inst_eager_unprocessed_to_passive   true
% 0.39/0.64  % --inst_prop_sim_given                 true
% 0.39/0.64  % --inst_prop_sim_new                   false
% 0.39/0.64  % --inst_orphan_elimination             true
% 0.39/0.64  % --inst_learning_loop_flag             true
% 0.39/0.64  % --inst_learning_start                 3000
% 0.39/0.64  % --inst_learning_factor                2
% 0.39/0.64  % --inst_start_prop_sim_after_learn     3
% 0.39/0.64  % --inst_sel_renew                      solver
% 0.39/0.64  % --inst_lit_activity_flag              true
% 0.39/0.64  % --inst_out_proof                      true
% 0.39/0.64  
% 0.39/0.64  % ------ Resolution Options
% 0.39/0.64  
% 0.39/0.64  % --resolution_flag                     true
% 0.39/0.64  % --res_lit_sel                         kbo_max
% 0.39/0.64  % --res_to_prop_solver                  none
% 0.39/0.64  % --res_prop_simpl_new                  false
% 0.39/0.64  % --res_prop_simpl_given                false
% 0.39/0.64  % --res_passive_queue_type              priority_queues
% 0.39/0.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.39/0.64  % --res_passive_queues_freq             [15;5]
% 0.39/0.64  % --res_forward_subs                    full
% 0.39/0.64  % --res_backward_subs                   full
% 0.39/0.64  % --res_forward_subs_resolution         true
% 0.39/0.64  % --res_backward_subs_resolution        true
% 0.39/0.64  % --res_orphan_elimination              false
% 0.39/0.64  % --res_time_limit                      1000.
% 0.39/0.64  % --res_out_proof                       true
% 0.39/0.64  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_aa5f4e.s
% 0.39/0.64  % --modulo                              true
% 0.39/0.64  
% 0.39/0.64  % ------ Combination Options
% 0.39/0.64  
% 0.39/0.64  % --comb_res_mult                       1000
% 0.39/0.64  % --comb_inst_mult                      300
% 0.39/0.64  % ------ 
% 0.39/0.64  
% 0.39/0.64  % ------ Parsing...% successful
% 0.39/0.64  
% 0.39/0.64  % ------ 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 % 
% 0.39/0.64  
% 0.39/0.64  % ------ Proving...
% 0.39/0.64  % ------ Problem Properties 
% 0.39/0.64  
% 0.39/0.64  % 
% 0.39/0.64  % EPR                                   false
% 0.39/0.64  % Horn                                  false
% 0.39/0.64  % Has equality                          true
% 0.39/0.64  
% 0.39/0.64  % % ------ Input Options Time Limit: Unbounded
% 0.39/0.64  
% 0.39/0.64  
% 0.39/0.64  Compiling...
% 0.39/0.64  Loading plugin: done.
% 0.39/0.64  Compiling...
% 0.39/0.64  Loading plugin: done.
% 0.39/0.64  % % ------ Current options:
% 0.39/0.64  
% 0.39/0.64  % ------ Input Options
% 0.39/0.64  
% 0.39/0.64  % --out_options                         all
% 0.39/0.64  % --tptp_safe_out                       true
% 0.39/0.64  % --problem_path                        ""
% 0.39/0.64  % --include_path                        ""
% 0.39/0.64  % --clausifier                          .//eprover
% 0.39/0.64  % --clausifier_options                  --tstp-format  
% 0.39/0.64  % --stdin                               false
% 0.39/0.64  % --dbg_backtrace                       false
% 0.39/0.64  % --dbg_dump_prop_clauses               false
% 0.39/0.64  % --dbg_dump_prop_clauses_file          -
% 0.39/0.64  % --dbg_out_stat                        false
% 0.39/0.64  
% 0.39/0.64  % ------ General Options
% 0.39/0.64  
% 0.39/0.64  % --fof                                 false
% 0.39/0.64  % --time_out_real                       150.
% 0.39/0.64  % --time_out_prep_mult                  0.2
% 0.39/0.64  % --time_out_virtual                    -1.
% 0.39/0.64  % --schedule                            none
% 0.39/0.64  % --ground_splitting                    input
% 0.39/0.64  % --splitting_nvd                       16
% 0.39/0.64  % --non_eq_to_eq                        false
% 0.39/0.64  % --prep_gs_sim                         true
% 0.39/0.64  % --prep_unflatten                      false
% 0.39/0.64  % --prep_res_sim                        true
% 0.39/0.64  % --prep_upred                          true
% 0.39/0.64  % --res_sim_input                       true
% 0.39/0.64  % --clause_weak_htbl                    true
% 0.39/0.64  % --gc_record_bc_elim                   false
% 0.39/0.64  % --symbol_type_check                   false
% 0.39/0.64  % --clausify_out                        false
% 0.39/0.64  % --large_theory_mode                   false
% 0.39/0.64  % --prep_sem_filter                     none
% 0.39/0.64  % --prep_sem_filter_out                 false
% 0.39/0.64  % --preprocessed_out                    false
% 0.39/0.64  % --sub_typing                          false
% 0.39/0.64  % --brand_transform                     false
% 0.39/0.64  % --pure_diseq_elim                     true
% 0.39/0.64  % --min_unsat_core                      false
% 0.39/0.64  % --pred_elim                           true
% 0.39/0.64  % --add_important_lit                   false
% 0.39/0.64  % --soft_assumptions                    false
% 0.39/0.64  % --reset_solvers                       false
% 0.39/0.64  % --bc_imp_inh                          []
% 0.39/0.64  % --conj_cone_tolerance                 1.5
% 0.39/0.64  % --prolific_symb_bound                 500
% 0.39/0.64  % --lt_threshold                        2000
% 0.39/0.64  
% 0.39/0.64  % ------ SAT Options
% 0.39/0.64  
% 0.39/0.64  % --sat_mode                            false
% 0.39/0.64  % --sat_fm_restart_options              ""
% 0.39/0.64  % --sat_gr_def                          false
% 0.39/0.64  % --sat_epr_types                       true
% 0.39/0.64  % --sat_non_cyclic_types                false
% 0.39/0.64  % --sat_finite_models                   false
% 0.39/0.64  % --sat_fm_lemmas                       false
% 0.39/0.64  % --sat_fm_prep                         false
% 0.39/0.64  % --sat_fm_uc_incr                      true
% 0.39/0.64  % --sat_out_model                       small
% 0.39/0.64  % --sat_out_clauses                     false
% 0.39/0.64  
% 0.39/0.64  % ------ QBF Options
% 0.39/0.64  
% 0.39/0.64  % --qbf_mode                            false
% 0.39/0.64  % --qbf_elim_univ                       true
% 0.39/0.64  % --qbf_sk_in                           true
% 0.39/0.64  % --qbf_pred_elim                       true
% 0.39/0.64  % --qbf_split                           32
% 0.39/0.64  
% 0.39/0.64  % ------ BMC1 Options
% 0.39/0.64  
% 0.39/0.64  % --bmc1_incremental                    false
% 0.39/0.64  % --bmc1_axioms                         reachable_all
% 0.39/0.64  % --bmc1_min_bound                      0
% 0.39/0.64  % --bmc1_max_bound                      -1
% 0.39/0.64  % --bmc1_max_bound_default              -1
% 0.39/0.64  % --bmc1_symbol_reachability            true
% 0.39/0.64  % --bmc1_property_lemmas                false
% 0.39/0.64  % --bmc1_k_induction                    false
% 0.39/0.64  % --bmc1_non_equiv_states               false
% 0.39/0.64  % --bmc1_deadlock                       false
% 0.39/0.64  % --bmc1_ucm                            false
% 0.39/0.64  % --bmc1_add_unsat_core                 none
% 0.39/0.64  % --bmc1_unsat_core_children            false
% 0.39/0.64  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.39/0.64  % --bmc1_out_stat                       full
% 0.39/0.64  % --bmc1_ground_init                    false
% 0.39/0.64  % --bmc1_pre_inst_next_state            false
% 0.39/0.64  % --bmc1_pre_inst_state                 false
% 0.39/0.64  % --bmc1_pre_inst_reach_state           false
% 0.39/0.64  % --bmc1_out_unsat_core                 false
% 0.39/0.64  % --bmc1_aig_witness_out                false
% 0.39/0.64  % --bmc1_verbose                        false
% 0.39/0.64  % --bmc1_dump_clauses_tptp              false
% 0.39/0.64  % --bmc1_dump_unsat_core_tptp           false
% 0.39/0.64  % --bmc1_dump_file                      -
% 0.39/0.64  % --bmc1_ucm_expand_uc_limit            128
% 0.46/0.64  % --bmc1_ucm_n_expand_iterations        6
% 0.46/0.64  % --bmc1_ucm_extend_mode                1
% 0.46/0.64  % --bmc1_ucm_init_mode                  2
% 0.46/0.64  % --bmc1_ucm_cone_mode                  none
% 0.46/0.64  % --bmc1_ucm_reduced_relation_type      0
% 0.46/0.64  % --bmc1_ucm_relax_model                4
% 0.46/0.64  % --bmc1_ucm_full_tr_after_sat          true
% 0.46/0.64  % --bmc1_ucm_expand_neg_assumptions     false
% 0.46/0.64  % --bmc1_ucm_layered_model              none
% 0.46/0.64  % --bmc1_ucm_max_lemma_size             10
% 0.46/0.64  
% 0.46/0.64  % ------ AIG Options
% 0.46/0.64  
% 0.46/0.64  % --aig_mode                            false
% 0.46/0.64  
% 0.46/0.64  % ------ Instantiation Options
% 0.46/0.64  
% 0.46/0.64  % --instantiation_flag                  true
% 0.46/0.64  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.46/0.64  % --inst_solver_per_active              750
% 0.46/0.64  % --inst_solver_calls_frac              0.5
% 0.46/0.64  % --inst_passive_queue_type             priority_queues
% 0.46/0.64  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.46/0.64  % --inst_passive_queues_freq            [25;2]
% 0.46/0.64  % --inst_dismatching                    true
% 0.46/0.65  % --inst_eager_unprocessed_to_passive   true
% 0.46/0.65  % --inst_prop_sim_given                 true
% 0.46/0.65  % --inst_prop_sim_new                   false
% 0.46/0.65  % --inst_orphan_elimination             true
% 0.46/0.65  % --inst_learning_loop_flag             true
% 0.46/0.65  % --inst_learning_start                 3000
% 0.46/0.65  % --inst_learning_factor                2
% 0.46/0.65  % --inst_start_prop_sim_after_learn     3
% 0.46/0.65  % --inst_sel_renew                      solver
% 0.46/0.65  % --inst_lit_activity_flag              true
% 0.46/0.65  % --inst_out_proof                      true
% 0.46/0.65  
% 0.46/0.65  % ------ Resolution Options
% 0.46/0.65  
% 0.46/0.65  % --resolution_flag                     true
% 0.46/0.65  % --res_lit_sel                         kbo_max
% 0.46/0.65  % --res_to_prop_solver                  none
% 0.46/0.65  % --res_prop_simpl_new                  false
% 0.46/0.65  % --res_prop_simpl_given                false
% 0.46/0.65  % --res_passive_queue_type              priority_queues
% 0.46/0.65  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.46/0.65  % --res_passive_queues_freq             [15;5]
% 0.46/0.65  % --res_forward_subs                    full
% 0.46/0.65  % --res_backward_subs                   full
% 0.46/0.65  % --res_forward_subs_resolution         true
% 0.46/0.65  % --res_backward_subs_resolution        true
% 0.46/0.65  % --res_orphan_elimination              false
% 0.46/0.65  % --res_time_limit                      1000.
% 0.46/0.65  % --res_out_proof                       true
% 0.46/0.65  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_aa5f4e.s
% 0.46/0.65  % --modulo                              true
% 0.46/0.65  
% 0.46/0.65  % ------ Combination Options
% 0.46/0.65  
% 0.46/0.65  % --comb_res_mult                       1000
% 0.46/0.65  % --comb_inst_mult                      300
% 0.46/0.65  % ------ 
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  % ------ Proving...
% 0.46/0.65  % warning:  shown sat in sat incomplete mode 
% 0.46/0.65  % 
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  cnf(c_75,negated_conjecture,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_10) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_134,negated_conjecture,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_75]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_152,negated_conjecture,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_134]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_157,negated_conjecture,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_152]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_162,negated_conjecture,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_157]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_389,plain,
% 0.46/0.65      ( in(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_162]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_63,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_148_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_365,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_63]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_439,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,set_difference(X0,X1))
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_389,c_365]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_440,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,set_difference(X0,X1))
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_439]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_56,plain,
% 0.46/0.65      ( element(X0,X1) | ~ in(X0,X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_155_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_351,plain,
% 0.46/0.65      ( element(X0,X1) | ~ in(X0,X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_56]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_437,plain,
% 0.46/0.65      ( element(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_389,c_351]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_438,plain,
% 0.46/0.65      ( element(set_difference(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_437]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_74,negated_conjecture,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_9) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_132,negated_conjecture,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_74]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_151,negated_conjecture,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_132]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_158,negated_conjecture,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_151]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_161,negated_conjecture,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_158]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_387,plain,
% 0.46/0.65      ( in(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_161]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_427,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,set_union2(X0,X1))
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_387,c_365]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_428,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,set_union2(X0,X1))
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_427]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_425,plain,
% 0.46/0.65      ( element(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_387,c_351]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_426,plain,
% 0.46/0.65      ( element(set_union2(X0,X1),sk3_esk1_0)
% 0.46/0.65      | ~ in(X0,sk3_esk1_0)
% 0.46/0.65      | ~ in(X1,sk3_esk1_0)
% 0.46/0.65      | preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_425]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_77,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_12) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_138,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_77]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_154,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_138]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_155,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_154]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_164,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_155]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_393,plain,
% 0.46/0.65      ( in(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_164]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_409,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,sk3_esk3_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_393,c_365]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_410,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,sk3_esk3_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_409]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_407,plain,
% 0.46/0.65      ( element(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_393,c_351]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_408,plain,
% 0.46/0.65      ( element(sk3_esk3_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_407]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_76,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_11) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_136,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_76]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_153,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_136]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_156,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_153]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_163,negated_conjecture,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_156]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_391,plain,
% 0.46/0.65      ( in(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_163]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_401,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,sk3_esk2_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_391,c_365]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_402,plain,
% 0.46/0.65      ( ~ in(sk3_esk1_0,sk3_esk2_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_401]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_399,plain,
% 0.46/0.65      ( element(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(resolution,[status(thm)],[c_391,c_351]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_400,plain,
% 0.46/0.65      ( element(sk3_esk2_0,sk3_esk1_0) | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_399]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_70,plain,
% 0.46/0.65      ( ~ in(X0,X1)
% 0.46/0.65      | ~ in(X2,X1)
% 0.46/0.65      | in(set_difference(X0,X2),X1)
% 0.46/0.65      | ~ diff_closed(X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_141_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_379,plain,
% 0.46/0.65      ( ~ in(X0,X1)
% 0.46/0.65      | ~ in(X2,X1)
% 0.46/0.65      | in(set_difference(X0,X2),X1)
% 0.46/0.65      | ~ diff_closed(X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_70]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_380,plain,
% 0.46/0.65      ( in(set_difference(X0,X1),X2)
% 0.46/0.65      | ~ in(X0,X2)
% 0.46/0.65      | ~ in(X1,X2)
% 0.46/0.65      | ~ diff_closed(X2) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_379]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_69,plain,
% 0.46/0.65      ( ~ in(X0,X1)
% 0.46/0.65      | ~ in(X2,X1)
% 0.46/0.65      | in(set_union2(X0,X2),X1)
% 0.46/0.65      | ~ cup_closed(X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_142_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_377,plain,
% 0.46/0.65      ( ~ in(X0,X1)
% 0.46/0.65      | ~ in(X2,X1)
% 0.46/0.65      | in(set_union2(X0,X2),X1)
% 0.46/0.65      | ~ cup_closed(X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_69]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_378,plain,
% 0.46/0.65      ( in(set_union2(X0,X1),X2)
% 0.46/0.65      | ~ in(X0,X2)
% 0.46/0.65      | ~ in(X1,X2)
% 0.46/0.65      | ~ cup_closed(X2) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_377]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_68,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ element(X1,powerset(X2)) | element(X0,X2) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_143_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_375,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ element(X1,powerset(X2)) | element(X0,X2) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_68]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_376,plain,
% 0.46/0.65      ( ~ element(X0,powerset(X1)) | element(X2,X1) | ~ in(X2,X0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_375]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_64,plain,
% 0.46/0.65      ( ~ subset(X0,X1) | element(X0,powerset(X1)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_147_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_367,plain,
% 0.46/0.65      ( ~ subset(X0,X1) | element(X0,powerset(X1)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_64]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_368,plain,
% 0.46/0.65      ( element(X0,powerset(X1)) | ~ subset(X0,X1) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_367]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_61,plain,
% 0.46/0.65      ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_150_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_361,plain,
% 0.46/0.65      ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_61]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_362,plain,
% 0.46/0.65      ( empty(X0) | ~ element(X1,X0) | in(X1,X0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_361]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_60,plain,
% 0.46/0.65      ( element(sk1_esk7_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_151_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_359,plain,
% 0.46/0.65      ( element(sk1_esk7_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_60]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_360,plain,
% 0.46/0.65      ( empty(X0) | element(sk1_esk7_1(X0),powerset(X0)) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_359]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_59,plain,
% 0.46/0.65      ( element(sk1_esk6_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_152_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_357,plain,
% 0.46/0.65      ( element(sk1_esk6_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_59]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_358,plain,
% 0.46/0.65      ( empty(X0) | element(sk1_esk6_1(X0),powerset(X0)) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_357]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_58,plain,
% 0.46/0.65      ( element(sk1_esk5_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_153_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_355,plain,
% 0.46/0.65      ( element(sk1_esk5_1(X0),powerset(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_58]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_356,plain,
% 0.46/0.65      ( empty(X0) | element(sk1_esk5_1(X0),powerset(X0)) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_355]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_57,plain,
% 0.46/0.65      ( subset(X0,X1) | ~ element(X0,powerset(X1)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_154_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_353,plain,
% 0.46/0.65      ( subset(X0,X1) | ~ element(X0,powerset(X1)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_57]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_354,plain,
% 0.46/0.65      ( ~ element(X0,powerset(X1)) | subset(X0,X1) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_353]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_55,plain,
% 0.46/0.65      ( ~ finite(X0) | ~ finite(X1) | finite(set_union2(X0,X1)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_156_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_349,plain,
% 0.46/0.65      ( ~ finite(X0) | ~ finite(X1) | finite(set_union2(X0,X1)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_55]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_350,plain,
% 0.46/0.65      ( finite(set_union2(X0,X1)) | ~ finite(X0) | ~ finite(X1) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_349]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_45,plain,
% 0.46/0.65      ( finite(sk1_esk7_1(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_166_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_329,plain,
% 0.46/0.65      ( finite(sk1_esk7_1(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_45]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_330,plain,
% 0.46/0.65      ( empty(X0) | finite(sk1_esk7_1(X0)) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_329]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_44,plain,
% 0.46/0.65      ( finite(sk1_esk6_1(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_167_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_327,plain,
% 0.46/0.65      ( finite(sk1_esk6_1(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_44]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_328,plain,
% 0.46/0.65      ( empty(X0) | finite(sk1_esk6_1(X0)) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_327]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_39,plain,
% 0.46/0.65      ( finite(X0) | ~ empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_173_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_317,plain,
% 0.46/0.65      ( finite(X0) | ~ empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_39]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_318,plain,
% 0.46/0.65      ( ~ empty(X0) | finite(X0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_317]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_38,plain,
% 0.46/0.65      ( X0 = empty_set | ~ empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_174_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_315,plain,
% 0.46/0.65      ( X0 = empty_set | ~ empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_38]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_316,plain,
% 0.46/0.65      ( ~ empty(X0) | X0 = empty_set ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_315]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_7,plain,
% 0.46/0.65      ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_60_2) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_257,plain,
% 0.46/0.65      ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_7]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_258,plain,
% 0.46/0.65      ( ~ empty(X0) | ~ empty(X1) | X1 = X0 ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_257]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_73,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_8) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_130,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_73]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_150,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_130]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_159,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_150]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_160,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_159]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_385,negated_conjecture,
% 0.46/0.65      ( ~ in(set_union2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ in(set_difference(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.46/0.65      | ~ preboolean(sk3_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_160]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_72,plain,
% 0.46/0.65      ( ~ in(set_difference(sk1_esk3_1(X0),sk1_esk4_1(X0)),X0)
% 0.46/0.65      | diff_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_139_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_383,plain,
% 0.46/0.65      ( ~ in(set_difference(sk1_esk3_1(X0),sk1_esk4_1(X0)),X0)
% 0.46/0.65      | diff_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_72]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_71,plain,
% 0.46/0.65      ( ~ in(set_union2(sk1_esk1_1(X0),sk1_esk2_1(X0)),X0) | cup_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_140_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_381,plain,
% 0.46/0.65      ( ~ in(set_union2(sk1_esk1_1(X0),sk1_esk2_1(X0)),X0) | cup_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_71]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_67,plain,
% 0.46/0.65      ( ~ empty(set_union2(X0,X1)) | empty(X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_144_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_373,plain,
% 0.46/0.65      ( ~ empty(set_union2(X0,X1)) | empty(X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_67]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_66,plain,
% 0.46/0.65      ( ~ empty(set_union2(X0,X1)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_145_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_371,plain,
% 0.46/0.65      ( ~ empty(set_union2(X0,X1)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_66]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_65,plain,
% 0.46/0.65      ( ~ element(X0,powerset(X1)) | finite(X0) | ~ finite(X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_146_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_369,plain,
% 0.46/0.65      ( ~ element(X0,powerset(X1)) | finite(X0) | ~ finite(X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_65]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_62,plain,
% 0.46/0.65      ( finite(set_difference(X0,X1)) | ~ finite(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_149_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_363,plain,
% 0.46/0.65      ( finite(set_difference(X0,X1)) | ~ finite(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_62]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_54,plain,
% 0.46/0.65      ( in(sk1_esk3_1(X0),X0) | diff_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_157_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_347,plain,
% 0.46/0.65      ( in(sk1_esk3_1(X0),X0) | diff_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_54]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_53,plain,
% 0.46/0.65      ( in(sk1_esk4_1(X0),X0) | diff_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_158_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_345,plain,
% 0.46/0.65      ( in(sk1_esk4_1(X0),X0) | diff_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_53]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_52,plain,
% 0.46/0.65      ( in(sk1_esk1_1(X0),X0) | cup_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_159_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_343,plain,
% 0.46/0.65      ( in(sk1_esk1_1(X0),X0) | cup_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_52]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_51,plain,
% 0.46/0.65      ( in(sk1_esk2_1(X0),X0) | cup_closed(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_160_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_341,plain,
% 0.46/0.65      ( in(sk1_esk2_1(X0),X0) | cup_closed(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_51]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_50,plain,
% 0.46/0.65      ( ~ empty(sk1_esk7_1(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_161_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_339,plain,
% 0.46/0.65      ( ~ empty(sk1_esk7_1(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_50]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_49,plain,
% 0.46/0.65      ( ~ empty(sk1_esk6_1(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_162_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_337,plain,
% 0.46/0.65      ( ~ empty(sk1_esk6_1(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_49]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_48,plain,
% 0.46/0.65      ( ~ empty(sk1_esk5_1(X0)) | empty(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_163_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_335,plain,
% 0.46/0.65      ( ~ empty(sk1_esk5_1(X0)) | empty(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_48]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_46,plain,
% 0.46/0.65      ( ~ cup_closed(X0) | ~ diff_closed(X0) | preboolean(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_165_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_331,plain,
% 0.46/0.65      ( ~ cup_closed(X0) | ~ diff_closed(X0) | preboolean(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_46]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_41,plain,
% 0.46/0.65      ( cup_closed(X0) | ~ preboolean(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_171_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_321,plain,
% 0.46/0.65      ( cup_closed(X0) | ~ preboolean(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_41]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_40,plain,
% 0.46/0.65      ( diff_closed(X0) | ~ preboolean(X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_172_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_319,plain,
% 0.46/0.65      ( diff_closed(X0) | ~ preboolean(X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_40]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_37,plain,
% 0.46/0.65      ( set_union2(X0,X1) = set_union2(X1,X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_168_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_313,plain,
% 0.46/0.65      ( set_union2(X0,X1) = set_union2(X1,X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_37]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_33,plain,
% 0.46/0.65      ( subset(X0,X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_178_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_308,plain,( subset(X0,X0) ),inference(copy,[status(esa)],[c_33]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_31,plain,
% 0.46/0.65      ( ~ empty(powerset(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_180_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_305,plain,
% 0.46/0.65      ( ~ empty(powerset(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_31]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_30,plain,
% 0.46/0.65      ( empty(empty_set) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_181_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_303,plain,( empty(empty_set) ),inference(copy,[status(esa)],[c_30]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_29,plain,
% 0.46/0.65      ( empty(sk2_esk4_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_79_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_301,plain,( empty(sk2_esk4_0) ),inference(copy,[status(esa)],[c_29]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_28,plain,
% 0.46/0.65      ( preboolean(sk2_esk5_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_78_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_299,plain,
% 0.46/0.65      ( preboolean(sk2_esk5_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_28]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_27,plain,
% 0.46/0.65      ( diff_closed(sk2_esk5_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_77_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_297,plain,
% 0.46/0.65      ( diff_closed(sk2_esk5_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_27]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_26,plain,
% 0.46/0.65      ( cap_closed(sk2_esk5_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_76_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_295,plain,
% 0.46/0.65      ( cap_closed(sk2_esk5_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_26]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_25,plain,
% 0.46/0.65      ( cup_closed(sk2_esk5_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_75_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_293,plain,
% 0.46/0.65      ( cup_closed(sk2_esk5_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_25]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_24,plain,
% 0.46/0.65      ( finite(sk2_esk6_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_74_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_291,plain,
% 0.46/0.65      ( finite(sk2_esk6_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_24]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_23,plain,
% 0.46/0.65      ( empty(sk2_esk2_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_70_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_289,plain,
% 0.46/0.65      ( empty(sk2_esk2_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_23]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_22,plain,
% 0.46/0.65      ( finite(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_69_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_287,plain,
% 0.46/0.65      ( finite(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_22]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_21,plain,
% 0.46/0.65      ( natural(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_68_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_285,plain,
% 0.46/0.65      ( natural(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_21]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_20,plain,
% 0.46/0.65      ( ordinal(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_67_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_283,plain,
% 0.46/0.65      ( ordinal(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_20]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_19,plain,
% 0.46/0.65      ( epsilon_connected(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_66_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_281,plain,
% 0.46/0.65      ( epsilon_connected(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_19]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_18,plain,
% 0.46/0.65      ( epsilon_transitive(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_65_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_279,plain,
% 0.46/0.65      ( epsilon_transitive(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_18]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_17,plain,
% 0.46/0.65      ( one_to_one(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_64_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_277,plain,
% 0.46/0.65      ( one_to_one(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_17]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_16,plain,
% 0.46/0.65      ( function(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_63_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_275,plain,
% 0.46/0.65      ( function(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_16]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_15,plain,
% 0.46/0.65      ( relation(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_62_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_273,plain,
% 0.46/0.65      ( relation(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_15]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_14,plain,
% 0.46/0.65      ( empty(sk2_esk3_1(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_61_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_271,plain,
% 0.46/0.65      ( empty(sk2_esk3_1(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_14]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_13,plain,
% 0.46/0.65      ( element(sk2_esk7_1(X0),X0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_59_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_269,plain,
% 0.46/0.65      ( element(sk2_esk7_1(X0),X0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_13]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_12,plain,
% 0.46/0.65      ( element(sk2_esk2_1(X0),powerset(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_58_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_267,plain,
% 0.46/0.65      ( element(sk2_esk2_1(X0),powerset(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_12]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_11,plain,
% 0.46/0.65      ( element(sk2_esk3_1(X0),powerset(X0)) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_57_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_265,plain,
% 0.46/0.65      ( element(sk2_esk3_1(X0),powerset(X0)) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_11]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_10,plain,
% 0.46/0.65      ( ~ empty(sk2_esk1_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_73_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_263,plain,
% 0.46/0.65      ( ~ empty(sk2_esk1_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_10]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_9,plain,
% 0.46/0.65      ( ~ empty(sk2_esk5_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_72_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_261,plain,
% 0.46/0.65      ( ~ empty(sk2_esk5_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_9]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_8,plain,
% 0.46/0.65      ( ~ empty(sk2_esk6_0) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_71_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_259,plain,
% 0.46/0.65      ( ~ empty(sk2_esk6_0) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_8]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_5,plain,
% 0.46/0.65      ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_60_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_253,plain,
% 0.46/0.65      ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.46/0.65      inference(copy,[status(esa)],[c_5]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_3,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_56_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_249,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_3]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_250,plain,
% 0.46/0.65      ( ~ empty(X0) | ~ in(X1,X0) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_249]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_0,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ element(X1,powerset(X2)) | ~ empty(X2) ),
% 0.46/0.65      file('/export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p', c_0_55_0) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_243,plain,
% 0.46/0.65      ( ~ in(X0,X1) | ~ element(X1,powerset(X2)) | ~ empty(X2) ),
% 0.46/0.65      inference(copy,[status(esa)],[c_0]) ).
% 0.46/0.65  
% 0.46/0.65  cnf(c_244,plain,
% 0.46/0.65      ( ~ empty(X0) | ~ element(X1,powerset(X0)) | ~ in(X2,X1) ),
% 0.46/0.65      inference(rewriting,[status(thm)],[c_243]) ).
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  % ------                             Statistics
% 0.46/0.65  
% 0.46/0.65  % ------ General
% 0.46/0.65  
% 0.46/0.65  % num_of_input_clauses:                 78
% 0.46/0.65  % num_of_input_neg_conjectures:         5
% 0.46/0.65  % num_of_splits:                        0
% 0.46/0.65  % num_of_split_atoms:                   0
% 0.46/0.65  % num_of_sem_filtered_clauses:          0
% 0.46/0.65  % num_of_subtypes:                      0
% 0.46/0.65  % monotx_restored_types:                0
% 0.46/0.65  % sat_num_of_epr_types:                 0
% 0.46/0.65  % sat_num_of_non_cyclic_types:          0
% 0.46/0.65  % sat_guarded_non_collapsed_types:      0
% 0.46/0.65  % is_epr:                               0
% 0.46/0.65  % is_horn:                              0
% 0.46/0.65  % has_eq:                               1
% 0.46/0.65  % num_pure_diseq_elim:                  0
% 0.46/0.65  % simp_replaced_by:                     0
% 0.46/0.65  % res_preprocessed:                     10
% 0.46/0.65  % prep_upred:                           0
% 0.46/0.65  % prep_unflattend:                      0
% 0.46/0.65  % pred_elim_cands:                      0
% 0.46/0.65  % pred_elim:                            0
% 0.46/0.65  % pred_elim_cl:                         0
% 0.46/0.65  % pred_elim_cycles:                     0
% 0.46/0.65  % forced_gc_time:                       0
% 0.46/0.65  % gc_basic_clause_elim:                 0
% 0.46/0.65  % parsing_time:                         0.001
% 0.46/0.65  % sem_filter_time:                      0.
% 0.46/0.65  % pred_elim_time:                       0.
% 0.46/0.65  % out_proof_time:                       0.
% 0.46/0.65  % monotx_time:                          0.
% 0.46/0.65  % subtype_inf_time:                     0.
% 0.46/0.65  % unif_index_cands_time:                0.
% 0.46/0.65  % unif_index_add_time:                  0.
% 0.46/0.65  % total_time:                           0.231
% 0.46/0.65  % num_of_symbols:                       62
% 0.46/0.65  % num_of_terms:                         275
% 0.46/0.65  
% 0.46/0.65  % ------ Propositional Solver
% 0.46/0.65  
% 0.46/0.65  % prop_solver_calls:                    1
% 0.46/0.65  % prop_fast_solver_calls:               45
% 0.46/0.65  % prop_num_of_clauses:                  124
% 0.46/0.65  % prop_preprocess_simplified:           218
% 0.46/0.65  % prop_fo_subsumed:                     0
% 0.46/0.65  % prop_solver_time:                     0.
% 0.46/0.65  % prop_fast_solver_time:                0.
% 0.46/0.65  % prop_unsat_core_time:                 0.
% 0.46/0.65  
% 0.46/0.65  % ------ QBF 
% 0.46/0.65  
% 0.46/0.65  % qbf_q_res:                            0
% 0.46/0.65  % qbf_num_tautologies:                  0
% 0.46/0.65  % qbf_prep_cycles:                      0
% 0.46/0.65  
% 0.46/0.65  % ------ BMC1
% 0.46/0.65  
% 0.46/0.65  % bmc1_current_bound:                   -1
% 0.46/0.65  % bmc1_last_solved_bound:               -1
% 0.46/0.65  % bmc1_unsat_core_size:                 -1
% 0.46/0.65  % bmc1_unsat_core_parents_size:         -1
% 0.46/0.65  % bmc1_merge_next_fun:                  0
% 0.46/0.65  % bmc1_unsat_core_clauses_time:         0.
% 0.46/0.65  
% 0.46/0.65  % ------ Instantiation
% 0.46/0.65  
% 0.46/0.65  % inst_num_of_clauses:                  75
% 0.46/0.65  % inst_num_in_passive:                  0
% 0.46/0.65  % inst_num_in_active:                   0
% 0.46/0.65  % inst_num_in_unprocessed:              78
% 0.46/0.65  % inst_num_of_loops:                    0
% 0.46/0.65  % inst_num_of_learning_restarts:        0
% 0.46/0.65  % inst_num_moves_active_passive:        0
% 0.46/0.65  % inst_lit_activity:                    0
% 0.46/0.65  % inst_lit_activity_moves:              0
% 0.46/0.65  % inst_num_tautologies:                 0
% 0.46/0.65  % inst_num_prop_implied:                0
% 0.46/0.65  % inst_num_existing_simplified:         0
% 0.46/0.65  % inst_num_eq_res_simplified:           0
% 0.46/0.65  % inst_num_child_elim:                  0
% 0.46/0.65  % inst_num_of_dismatching_blockings:    0
% 0.46/0.65  % inst_num_of_non_proper_insts:         0
% 0.46/0.65  % inst_num_of_duplicates:               0
% 0.46/0.65  % inst_inst_num_from_inst_to_res:       0
% 0.46/0.65  % inst_dismatching_checking_time:       0.
% 0.46/0.65  
% 0.46/0.65  % ------ Resolution
% 0.46/0.65  
% 0.46/0.65  % res_num_of_clauses:                   98
% 0.46/0.65  % res_num_in_passive:                   0
% 0.46/0.65  % res_num_in_active:                    75
% 0.46/0.65  % res_num_of_loops:                     14
% 0.46/0.65  % res_forward_subset_subsumed:          11
% 0.46/0.65  % res_backward_subset_subsumed:         0
% 0.46/0.65  % res_forward_subsumed:                 0
% 0.46/0.65  % res_backward_subsumed:                0
% 0.46/0.65  % res_forward_subsumption_resolution:   0
% 0.46/0.65  % res_backward_subsumption_resolution:  0
% 0.46/0.65  % res_clause_to_clause_subsumption:     40
% 0.46/0.65  % res_orphan_elimination:               0
% 0.46/0.65  % res_tautology_del:                    1
% 0.46/0.65  % res_num_eq_res_simplified:            0
% 0.46/0.65  % res_num_sel_changes:                  0
% 0.46/0.65  % res_moves_from_active_to_pass:        0
% 0.46/0.65  
% 0.46/0.65  % Status Unknown
% 0.46/0.70  % Orienting using strategy ClausalAll
% 0.46/0.70  % FOF problem with conjecture
% 0.46/0.70  % 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/sandbox/tmp/iprover_proof_aa5f4e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e9f32e.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_981145 | grep -v "SZS"
% 0.55/0.72  
% 0.55/0.72  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.55/0.72  
% 0.55/0.72  % 
% 0.55/0.72  % ------  iProver source info 
% 0.55/0.72  
% 0.55/0.72  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.55/0.72  % git: non_committed_changes: true
% 0.55/0.72  % git: last_make_outside_of_git: true
% 0.55/0.72  
% 0.55/0.72  % 
% 0.55/0.72  % ------ Input Options
% 0.55/0.72  
% 0.55/0.72  % --out_options                         all
% 0.55/0.72  % --tptp_safe_out                       true
% 0.55/0.72  % --problem_path                        ""
% 0.55/0.72  % --include_path                        ""
% 0.55/0.72  % --clausifier                          .//eprover
% 0.55/0.72  % --clausifier_options                  --tstp-format  
% 0.55/0.72  % --stdin                               false
% 0.55/0.72  % --dbg_backtrace                       false
% 0.55/0.72  % --dbg_dump_prop_clauses               false
% 0.55/0.72  % --dbg_dump_prop_clauses_file          -
% 0.55/0.72  % --dbg_out_stat                        false
% 0.55/0.72  
% 0.55/0.72  % ------ General Options
% 0.55/0.72  
% 0.55/0.72  % --fof                                 false
% 0.55/0.72  % --time_out_real                       150.
% 0.55/0.72  % --time_out_prep_mult                  0.2
% 0.55/0.72  % --time_out_virtual                    -1.
% 0.55/0.72  % --schedule                            none
% 0.55/0.72  % --ground_splitting                    input
% 0.55/0.72  % --splitting_nvd                       16
% 0.55/0.72  % --non_eq_to_eq                        false
% 0.55/0.72  % --prep_gs_sim                         true
% 0.55/0.72  % --prep_unflatten                      false
% 0.55/0.72  % --prep_res_sim                        true
% 0.55/0.72  % --prep_upred                          true
% 0.55/0.72  % --res_sim_input                       true
% 0.55/0.72  % --clause_weak_htbl                    true
% 0.55/0.72  % --gc_record_bc_elim                   false
% 0.55/0.72  % --symbol_type_check                   false
% 0.55/0.72  % --clausify_out                        false
% 0.55/0.72  % --large_theory_mode                   false
% 0.55/0.72  % --prep_sem_filter                     none
% 0.55/0.72  % --prep_sem_filter_out                 false
% 0.55/0.72  % --preprocessed_out                    false
% 0.55/0.72  % --sub_typing                          false
% 0.55/0.72  % --brand_transform                     false
% 0.55/0.72  % --pure_diseq_elim                     true
% 0.55/0.72  % --min_unsat_core                      false
% 0.55/0.72  % --pred_elim                           true
% 0.55/0.72  % --add_important_lit                   false
% 0.55/0.72  % --soft_assumptions                    false
% 0.55/0.72  % --reset_solvers                       false
% 0.55/0.72  % --bc_imp_inh                          []
% 0.55/0.72  % --conj_cone_tolerance                 1.5
% 0.55/0.72  % --prolific_symb_bound                 500
% 0.55/0.72  % --lt_threshold                        2000
% 0.55/0.72  
% 0.55/0.72  % ------ SAT Options
% 0.55/0.72  
% 0.55/0.72  % --sat_mode                            false
% 0.55/0.72  % --sat_fm_restart_options              ""
% 0.55/0.72  % --sat_gr_def                          false
% 0.55/0.72  % --sat_epr_types                       true
% 0.55/0.72  % --sat_non_cyclic_types                false
% 0.55/0.72  % --sat_finite_models                   false
% 0.55/0.72  % --sat_fm_lemmas                       false
% 0.55/0.72  % --sat_fm_prep                         false
% 0.55/0.72  % --sat_fm_uc_incr                      true
% 0.55/0.72  % --sat_out_model                       small
% 0.55/0.72  % --sat_out_clauses                     false
% 0.55/0.72  
% 0.55/0.72  % ------ QBF Options
% 0.55/0.72  
% 0.55/0.72  % --qbf_mode                            false
% 0.55/0.72  % --qbf_elim_univ                       true
% 0.55/0.72  % --qbf_sk_in                           true
% 0.55/0.72  % --qbf_pred_elim                       true
% 0.55/0.72  % --qbf_split                           32
% 0.55/0.72  
% 0.55/0.72  % ------ BMC1 Options
% 0.55/0.72  
% 0.55/0.72  % --bmc1_incremental                    false
% 0.55/0.72  % --bmc1_axioms                         reachable_all
% 0.55/0.72  % --bmc1_min_bound                      0
% 0.55/0.72  % --bmc1_max_bound                      -1
% 0.55/0.72  % --bmc1_max_bound_default              -1
% 0.55/0.72  % --bmc1_symbol_reachability            true
% 0.55/0.72  % --bmc1_property_lemmas                false
% 0.55/0.72  % --bmc1_k_induction                    false
% 0.55/0.72  % --bmc1_non_equiv_states               false
% 0.55/0.72  % --bmc1_deadlock                       false
% 0.55/0.72  % --bmc1_ucm                            false
% 0.55/0.72  % --bmc1_add_unsat_core                 none
% 0.55/0.72  % --bmc1_unsat_core_children            false
% 0.55/0.72  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.55/0.72  % --bmc1_out_stat                       full
% 0.55/0.72  % --bmc1_ground_init                    false
% 0.55/0.72  % --bmc1_pre_inst_next_state            false
% 0.55/0.72  % --bmc1_pre_inst_state                 false
% 0.55/0.72  % --bmc1_pre_inst_reach_state           false
% 0.55/0.72  % --bmc1_out_unsat_core                 false
% 0.55/0.72  % --bmc1_aig_witness_out                false
% 0.55/0.72  % --bmc1_verbose                        false
% 0.55/0.72  % --bmc1_dump_clauses_tptp              false
% 0.55/0.93  % --bmc1_dump_unsat_core_tptp           false
% 0.55/0.93  % --bmc1_dump_file                      -
% 0.55/0.93  % --bmc1_ucm_expand_uc_limit            128
% 0.55/0.93  % --bmc1_ucm_n_expand_iterations        6
% 0.55/0.93  % --bmc1_ucm_extend_mode                1
% 0.55/0.93  % --bmc1_ucm_init_mode                  2
% 0.55/0.93  % --bmc1_ucm_cone_mode                  none
% 0.55/0.93  % --bmc1_ucm_reduced_relation_type      0
% 0.55/0.93  % --bmc1_ucm_relax_model                4
% 0.55/0.93  % --bmc1_ucm_full_tr_after_sat          true
% 0.55/0.93  % --bmc1_ucm_expand_neg_assumptions     false
% 0.55/0.93  % --bmc1_ucm_layered_model              none
% 0.55/0.93  % --bmc1_ucm_max_lemma_size             10
% 0.55/0.93  
% 0.55/0.93  % ------ AIG Options
% 0.55/0.93  
% 0.55/0.93  % --aig_mode                            false
% 0.55/0.93  
% 0.55/0.93  % ------ Instantiation Options
% 0.55/0.93  
% 0.55/0.93  % --instantiation_flag                  true
% 0.55/0.93  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.55/0.93  % --inst_solver_per_active              750
% 0.55/0.93  % --inst_solver_calls_frac              0.5
% 0.55/0.93  % --inst_passive_queue_type             priority_queues
% 0.55/0.93  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.55/0.93  % --inst_passive_queues_freq            [25;2]
% 0.55/0.93  % --inst_dismatching                    true
% 0.55/0.93  % --inst_eager_unprocessed_to_passive   true
% 0.55/0.93  % --inst_prop_sim_given                 true
% 0.55/0.93  % --inst_prop_sim_new                   false
% 0.55/0.93  % --inst_orphan_elimination             true
% 0.55/0.93  % --inst_learning_loop_flag             true
% 0.55/0.93  % --inst_learning_start                 3000
% 0.55/0.93  % --inst_learning_factor                2
% 0.55/0.93  % --inst_start_prop_sim_after_learn     3
% 0.55/0.93  % --inst_sel_renew                      solver
% 0.55/0.93  % --inst_lit_activity_flag              true
% 0.55/0.93  % --inst_out_proof                      true
% 0.55/0.93  
% 0.55/0.93  % ------ Resolution Options
% 0.55/0.93  
% 0.55/0.93  % --resolution_flag                     true
% 0.55/0.93  % --res_lit_sel                         kbo_max
% 0.55/0.93  % --res_to_prop_solver                  none
% 0.55/0.93  % --res_prop_simpl_new                  false
% 0.55/0.93  % --res_prop_simpl_given                false
% 0.55/0.93  % --res_passive_queue_type              priority_queues
% 0.55/0.93  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.55/0.93  % --res_passive_queues_freq             [15;5]
% 0.55/0.93  % --res_forward_subs                    full
% 0.55/0.93  % --res_backward_subs                   full
% 0.55/0.93  % --res_forward_subs_resolution         true
% 0.55/0.93  % --res_backward_subs_resolution        true
% 0.55/0.93  % --res_orphan_elimination              false
% 0.55/0.93  % --res_time_limit                      1000.
% 0.55/0.93  % --res_out_proof                       true
% 0.55/0.93  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_aa5f4e.s
% 0.55/0.93  % --modulo                              true
% 0.55/0.93  
% 0.55/0.93  % ------ Combination Options
% 0.55/0.93  
% 0.55/0.93  % --comb_res_mult                       1000
% 0.55/0.93  % --comb_inst_mult                      300
% 0.55/0.93  % ------ 
% 0.55/0.93  
% 0.55/0.93  % ------ Parsing...% successful
% 0.55/0.93  
% 0.55/0.93  % ------ 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 % 
% 0.55/0.93  
% 0.55/0.93  % ------ Proving...
% 0.55/0.93  % ------ Problem Properties 
% 0.55/0.93  
% 0.55/0.93  % 
% 0.55/0.93  % EPR                                   false
% 0.55/0.93  % Horn                                  false
% 0.55/0.93  % Has equality                          true
% 0.55/0.93  
% 0.55/0.93  % % ------ Input Options Time Limit: Unbounded
% 0.55/0.93  
% 0.55/0.93  
% 0.55/0.93  Compiling...
% 0.55/0.93  Loading plugin: done.
% 0.55/0.93  Compiling...
% 0.55/0.93  Loading plugin: done.
% 0.55/0.93  % % ------ Current options:
% 0.55/0.93  
% 0.55/0.93  % ------ Input Options
% 0.55/0.93  
% 0.55/0.93  % --out_options                         all
% 0.55/0.93  % --tptp_safe_out                       true
% 0.55/0.93  % --problem_path                        ""
% 0.55/0.93  % --include_path                        ""
% 0.55/0.93  % --clausifier                          .//eprover
% 0.55/0.93  % --clausifier_options                  --tstp-format  
% 0.55/0.93  % --stdin                               false
% 0.55/0.93  % --dbg_backtrace                       false
% 0.55/0.93  % --dbg_dump_prop_clauses               false
% 0.55/0.93  % --dbg_dump_prop_clauses_file          -
% 0.55/0.93  % --dbg_out_stat                        false
% 0.55/0.93  
% 0.55/0.93  % ------ General Options
% 0.55/0.93  
% 0.55/0.93  % --fof                                 false
% 0.55/0.93  % --time_out_real                       150.
% 0.55/0.93  % --time_out_prep_mult                  0.2
% 0.55/0.93  % --time_out_virtual                    -1.
% 0.55/0.93  % --schedule                            none
% 0.55/0.93  % --ground_splitting                    input
% 0.55/0.93  % --splitting_nvd                       16
% 0.55/0.93  % --non_eq_to_eq                        false
% 0.55/0.93  % --prep_gs_sim                         true
% 0.55/0.93  % --prep_unflatten                      false
% 0.55/0.93  % --prep_res_sim                        true
% 0.55/0.93  % --prep_upred                          true
% 0.55/0.93  % --res_sim_input                       true
% 0.55/0.93  % --clause_weak_htbl                    true
% 0.55/0.93  % --gc_record_bc_elim                   false
% 0.55/0.93  % --symbol_type_check                   false
% 0.55/0.93  % --clausify_out                        false
% 0.55/0.93  % --large_theory_mode                   false
% 0.55/0.93  % --prep_sem_filter                     none
% 0.55/0.93  % --prep_sem_filter_out                 false
% 0.55/0.93  % --preprocessed_out                    false
% 0.55/0.93  % --sub_typing                          false
% 0.55/0.93  % --brand_transform                     false
% 0.55/0.93  % --pure_diseq_elim                     true
% 0.55/0.93  % --min_unsat_core                      false
% 0.55/0.93  % --pred_elim                           true
% 0.55/0.93  % --add_important_lit                   false
% 0.55/0.93  % --soft_assumptions                    false
% 0.55/0.93  % --reset_solvers                       false
% 0.55/0.93  % --bc_imp_inh                          []
% 0.55/0.93  % --conj_cone_tolerance                 1.5
% 0.55/0.93  % --prolific_symb_bound                 500
% 0.55/0.93  % --lt_threshold                        2000
% 0.55/0.93  
% 0.55/0.93  % ------ SAT Options
% 0.55/0.93  
% 0.55/0.93  % --sat_mode                            false
% 0.55/0.93  % --sat_fm_restart_options              ""
% 0.55/0.93  % --sat_gr_def                          false
% 0.55/0.93  % --sat_epr_types                       true
% 0.55/0.93  % --sat_non_cyclic_types                false
% 0.55/0.93  % --sat_finite_models                   false
% 0.55/0.93  % --sat_fm_lemmas                       false
% 0.55/0.93  % --sat_fm_prep                         false
% 0.55/0.93  % --sat_fm_uc_incr                      true
% 0.55/0.93  % --sat_out_model                       small
% 0.55/0.93  % --sat_out_clauses                     false
% 0.55/0.93  
% 0.55/0.93  % ------ QBF Options
% 0.55/0.93  
% 0.55/0.93  % --qbf_mode                            false
% 0.55/0.93  % --qbf_elim_univ                       true
% 0.55/0.93  % --qbf_sk_in                           true
% 0.55/0.93  % --qbf_pred_elim                       true
% 0.55/0.93  % --qbf_split                           32
% 0.55/0.93  
% 0.55/0.93  % ------ BMC1 Options
% 0.55/0.93  
% 0.55/0.93  % --bmc1_incremental                    false
% 0.55/0.93  % --bmc1_axioms                         reachable_all
% 0.55/0.93  % --bmc1_min_bound                      0
% 0.55/0.93  % --bmc1_max_bound                      -1
% 0.55/0.93  % --bmc1_max_bound_default              -1
% 0.55/0.93  % --bmc1_symbol_reachability            true
% 0.55/0.93  % --bmc1_property_lemmas                false
% 0.55/0.93  % --bmc1_k_induction                    false
% 0.55/0.93  % --bmc1_non_equiv_states               false
% 0.55/0.93  % --bmc1_deadlock                       false
% 0.55/0.93  % --bmc1_ucm                            false
% 0.55/0.93  % --bmc1_add_unsat_core                 none
% 0.55/0.93  % --bmc1_unsat_core_children            false
% 0.55/0.93  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.55/0.93  % --bmc1_out_stat                       full
% 0.55/0.93  % --bmc1_ground_init                    false
% 0.55/0.93  % --bmc1_pre_inst_next_state            false
% 0.55/0.93  % --bmc1_pre_inst_state                 false
% 0.55/0.93  % --bmc1_pre_inst_reach_state           false
% 0.55/0.93  % --bmc1_out_unsat_core                 false
% 0.55/0.93  % --bmc1_aig_witness_out                false
% 0.55/0.93  % --bmc1_verbose                        false
% 0.55/0.93  % --bmc1_dump_clauses_tptp              false
% 0.55/0.93  % --bmc1_dump_unsat_core_tptp           false
% 0.55/0.93  % --bmc1_dump_file                      -
% 0.55/0.93  % --bmc1_ucm_expand_uc_limit            128
% 0.55/0.93  % --bmc1_ucm_n_expand_iterations        6
% 0.55/0.93  % --bmc1_ucm_extend_mode                1
% 0.55/0.93  % --bmc1_ucm_init_mode                  2
% 0.55/0.93  % --bmc1_ucm_cone_mode                  none
% 0.55/0.93  % --bmc1_ucm_reduced_relation_type      0
% 0.55/0.93  % --bmc1_ucm_relax_model                4
% 0.55/0.93  % --bmc1_ucm_full_tr_after_sat          true
% 0.55/0.93  % --bmc1_ucm_expand_neg_assumptions     false
% 0.55/0.93  % --bmc1_ucm_layered_model              none
% 0.55/0.93  % --bmc1_ucm_max_lemma_size             10
% 0.55/0.93  
% 0.55/0.93  % ------ AIG Options
% 0.55/0.93  
% 0.55/0.93  % --aig_mode                            false
% 0.55/0.93  
% 0.55/0.93  % ------ Instantiation Options
% 0.55/0.93  
% 0.55/0.93  % --instantiation_flag                  true
% 0.55/0.93  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.55/0.93  % --inst_solver_per_active              750
% 0.55/0.93  % --inst_solver_calls_frac              0.5
% 0.55/0.93  % --inst_passive_queue_type             priority_queues
% 0.55/0.93  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.55/0.93  % --inst_passive_queues_freq            [25;2]
% 0.55/0.93  % --inst_dismatching                    true
% 0.55/0.94  % --inst_eager_unprocessed_to_passive   true
% 0.55/0.94  % --inst_prop_sim_given                 true
% 0.55/0.94  % --inst_prop_sim_new                   false
% 0.55/0.94  % --inst_orphan_elimination             true
% 0.55/0.94  % --inst_learning_loop_flag             true
% 0.55/0.94  % --inst_learning_start                 3000
% 0.55/0.94  % --inst_learning_factor                2
% 0.55/0.94  % --inst_start_prop_sim_after_learn     3
% 0.55/0.94  % --inst_sel_renew                      solver
% 0.55/0.94  % --inst_lit_activity_flag              true
% 0.55/0.94  % --inst_out_proof                      true
% 0.55/0.94  
% 0.55/0.94  % ------ Resolution Options
% 0.55/0.94  
% 0.55/0.94  % --resolution_flag                     true
% 0.55/0.94  % --res_lit_sel                         kbo_max
% 0.55/0.94  % --res_to_prop_solver                  none
% 0.55/0.94  % --res_prop_simpl_new                  false
% 0.55/0.94  % --res_prop_simpl_given                false
% 0.55/0.94  % --res_passive_queue_type              priority_queues
% 0.55/0.94  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.55/0.94  % --res_passive_queues_freq             [15;5]
% 0.55/0.94  % --res_forward_subs                    full
% 0.55/0.94  % --res_backward_subs                   full
% 0.55/0.94  % --res_forward_subs_resolution         true
% 0.55/0.94  % --res_backward_subs_resolution        true
% 0.55/0.94  % --res_orphan_elimination              false
% 0.55/0.94  % --res_time_limit                      1000.
% 0.55/0.94  % --res_out_proof                       true
% 0.55/0.94  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_aa5f4e.s
% 0.55/0.94  % --modulo                              true
% 0.55/0.94  
% 0.55/0.94  % ------ Combination Options
% 0.55/0.94  
% 0.55/0.94  % --comb_res_mult                       1000
% 0.55/0.94  % --comb_inst_mult                      300
% 0.55/0.94  % ------ 
% 0.55/0.94  
% 0.55/0.94  
% 0.55/0.94  
% 0.55/0.94  % ------ Proving...
% 0.55/0.94  % 
% 0.55/0.94  
% 0.55/0.94  
% 0.55/0.94  %  Resolution empty clause
% 0.55/0.94  
% 0.55/0.94  % ------                             Statistics
% 0.55/0.94  
% 0.55/0.94  % ------ General
% 0.55/0.94  
% 0.55/0.94  % num_of_input_clauses:                 123
% 0.55/0.94  % num_of_input_neg_conjectures:         5
% 0.55/0.94  % num_of_splits:                        0
% 0.55/0.94  % num_of_split_atoms:                   0
% 0.55/0.94  % num_of_sem_filtered_clauses:          0
% 0.55/0.94  % num_of_subtypes:                      0
% 0.55/0.94  % monotx_restored_types:                0
% 0.55/0.94  % sat_num_of_epr_types:                 0
% 0.55/0.94  % sat_num_of_non_cyclic_types:          0
% 0.55/0.94  % sat_guarded_non_collapsed_types:      0
% 0.55/0.94  % is_epr:                               0
% 0.55/0.94  % is_horn:                              0
% 0.55/0.94  % has_eq:                               1
% 0.55/0.94  % num_pure_diseq_elim:                  0
% 0.55/0.94  % simp_replaced_by:                     0
% 0.55/0.94  % res_preprocessed:                     10
% 0.55/0.94  % prep_upred:                           0
% 0.55/0.94  % prep_unflattend:                      0
% 0.55/0.94  % pred_elim_cands:                      0
% 0.55/0.94  % pred_elim:                            0
% 0.55/0.94  % pred_elim_cl:                         0
% 0.55/0.94  % pred_elim_cycles:                     0
% 0.55/0.94  % forced_gc_time:                       0
% 0.55/0.94  % gc_basic_clause_elim:                 0
% 0.55/0.94  % parsing_time:                         0.003
% 0.55/0.94  % sem_filter_time:                      0.
% 0.55/0.94  % pred_elim_time:                       0.
% 0.55/0.94  % out_proof_time:                       0.003
% 0.55/0.94  % monotx_time:                          0.
% 0.55/0.94  % subtype_inf_time:                     0.
% 0.55/0.94  % unif_index_cands_time:                0.
% 0.55/0.94  % unif_index_add_time:                  0.
% 0.55/0.94  % total_time:                           0.236
% 0.55/0.94  % num_of_symbols:                       62
% 0.55/0.94  % num_of_terms:                         363
% 0.55/0.94  
% 0.55/0.94  % ------ Propositional Solver
% 0.55/0.94  
% 0.55/0.94  % prop_solver_calls:                    1
% 0.55/0.94  % prop_fast_solver_calls:               45
% 0.55/0.94  % prop_num_of_clauses:                  130
% 0.55/0.94  % prop_preprocess_simplified:           392
% 0.55/0.94  % prop_fo_subsumed:                     0
% 0.55/0.94  % prop_solver_time:                     0.
% 0.55/0.94  % prop_fast_solver_time:                0.
% 0.55/0.94  % prop_unsat_core_time:                 0.
% 0.55/0.94  
% 0.55/0.94  % ------ QBF 
% 0.55/0.94  
% 0.55/0.94  % qbf_q_res:                            0
% 0.55/0.94  % qbf_num_tautologies:                  0
% 0.55/0.94  % qbf_prep_cycles:                      0
% 0.55/0.94  
% 0.55/0.94  % ------ BMC1
% 0.55/0.94  
% 0.55/0.94  % bmc1_current_bound:                   -1
% 0.55/0.94  % bmc1_last_solved_bound:               -1
% 0.55/0.94  % bmc1_unsat_core_size:                 -1
% 0.55/0.94  % bmc1_unsat_core_parents_size:         -1
% 0.55/0.94  % bmc1_merge_next_fun:                  0
% 0.55/0.94  % bmc1_unsat_core_clauses_time:         0.
% 0.55/0.94  
% 0.55/0.94  % ------ Instantiation
% 0.55/0.94  
% 0.55/0.94  % inst_num_of_clauses:                  115
% 0.55/0.94  % inst_num_in_passive:                  0
% 0.55/0.94  % inst_num_in_active:                   0
% 0.55/0.94  % inst_num_in_unprocessed:              123
% 0.55/0.94  % inst_num_of_loops:                    0
% 0.55/0.94  % inst_num_of_learning_restarts:        0
% 0.55/0.94  % inst_num_moves_active_passive:        0
% 0.55/0.94  % inst_lit_activity:                    0
% 0.55/0.94  % inst_lit_activity_moves:              0
% 0.55/0.94  % inst_num_tautologies:                 0
% 0.55/0.94  % inst_num_prop_implied:                0
% 0.55/0.94  % inst_num_existing_simplified:         0
% 0.55/0.94  % inst_num_eq_res_simplified:           0
% 0.55/0.94  % inst_num_child_elim:                  0
% 0.55/0.94  % inst_num_of_dismatching_blockings:    0
% 0.55/0.94  % inst_num_of_non_proper_insts:         0
% 0.55/0.94  % inst_num_of_duplicates:               0
% 0.55/0.94  % inst_inst_num_from_inst_to_res:       0
% 0.55/0.94  % inst_dismatching_checking_time:       0.
% 0.55/0.94  
% 0.55/0.94  % ------ Resolution
% 0.55/0.94  
% 0.55/0.94  % res_num_of_clauses:                   160
% 0.55/0.94  % res_num_in_passive:                   27
% 0.55/0.94  % res_num_in_active:                    81
% 0.55/0.94  % res_num_of_loops:                     31
% 0.55/0.94  % res_forward_subset_subsumed:          76
% 0.55/0.94  % res_backward_subset_subsumed:         12
% 0.55/0.94  % res_forward_subsumed:                 4
% 0.55/0.94  % res_backward_subsumed:                0
% 0.55/0.94  % res_forward_subsumption_resolution:   17
% 0.55/0.94  % res_backward_subsumption_resolution:  9
% 0.55/0.94  % res_clause_to_clause_subsumption:     72
% 0.55/0.94  % res_orphan_elimination:               0
% 0.55/0.94  % res_tautology_del:                    1
% 0.55/0.94  % res_num_eq_res_simplified:            0
% 0.55/0.94  % res_num_sel_changes:                  0
% 0.55/0.94  % res_moves_from_active_to_pass:        0
% 0.55/0.94  
% 0.55/0.94  % Status Unsatisfiable
% 0.55/0.94  % SZS status Theorem
% 0.55/0.94  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------