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iProverMo---2.5-0.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET015-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 02:08:28 EDT 2022

% Result   : Unsatisfiable 36.20s 36.35s
% Output   : CNFRefutation 36.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(reflexivity_for_equal_elements,axiom,
    equal_elements(X,X),
    input ).

fof(reflexivity_for_equal_elements_0,plain,
    ! [X] :
      ( equal_elements(X,X)
      | $false ),
    inference(orientation,[status(thm)],[reflexivity_for_equal_elements]) ).

cnf(reflexivity_for_set_equal,axiom,
    equal_sets(Xs,Xs),
    input ).

fof(reflexivity_for_set_equal_0,plain,
    ! [Xs] :
      ( equal_sets(Xs,Xs)
      | $false ),
    inference(orientation,[status(thm)],[reflexivity_for_set_equal]) ).

cnf(empty_set,axiom,
    ~ member(X,empty_set),
    input ).

fof(empty_set_0,plain,
    ! [X] :
      ( ~ member(X,empty_set)
      | $false ),
    inference(orientation,[status(thm)],[empty_set]) ).

fof(def_lhs_atom1,axiom,
    ! [X] :
      ( lhs_atom1(X)
    <=> ~ member(X,empty_set) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_0,plain,
    ! [X] :
      ( lhs_atom1(X)
      | $false ),
    inference(fold_definition,[status(thm)],[empty_set_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Xs] :
      ( lhs_atom2(Xs)
    <=> equal_sets(Xs,Xs) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_1,plain,
    ! [Xs] :
      ( lhs_atom2(Xs)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivity_for_set_equal_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ! [X] :
      ( lhs_atom3(X)
    <=> equal_elements(X,X) ),
    inference(definition,[],[]) ).

fof(to_be_clausified_2,plain,
    ! [X] :
      ( lhs_atom3(X)
      | $false ),
    inference(fold_definition,[status(thm)],[reflexivity_for_equal_elements_0,def_lhs_atom3]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1] :
      ( lhs_atom3(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_1,axiom,
    ! [X2] :
      ( lhs_atom2(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_2,axiom,
    ! [X1] :
      ( lhs_atom1(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_3,plain,
    ! [X1] : lhs_atom3(X1),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_4,plain,
    ! [X2] : lhs_atom2(X2),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_5,plain,
    ! [X1] : lhs_atom1(X1),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6,plain,
    ! [X2] : lhs_atom3(X2),
    inference(variable_rename,[status(thm)],[c_0_3]) ).

fof(c_0_7,plain,
    ! [X3] : lhs_atom2(X3),
    inference(variable_rename,[status(thm)],[c_0_4]) ).

fof(c_0_8,plain,
    ! [X2] : lhs_atom1(X2),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    lhs_atom1(X1),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12,plain,
    lhs_atom3(X1),
    c_0_9,
    [final] ).

cnf(c_0_13,plain,
    lhs_atom2(X1),
    c_0_10,
    [final] ).

cnf(c_0_14,plain,
    lhs_atom1(X1),
    c_0_11,
    [final] ).

% End CNF derivation
cnf(c_0_12_0,axiom,
    equal_elements(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_12,def_lhs_atom3]) ).

cnf(c_0_13_0,axiom,
    equal_sets(X1,X1),
    inference(unfold_definition,[status(thm)],[c_0_13,def_lhs_atom2]) ).

cnf(c_0_14_0,axiom,
    ~ member(X1,empty_set),
    inference(unfold_definition,[status(thm)],[c_0_14,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,union(X6,X5))
      | member(X3,X6)
      | member(X3,X5) ),
    file('<stdin>',member_of_union_is_member_of_one_set) ).

fof(c_0_1_002,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,X6)
      | ~ member(X3,X5)
      | member(X3,intersection(X6,X5)) ),
    file('<stdin>',member_of_both_is_member_of_intersection) ).

fof(c_0_2_003,axiom,
    ! [X9,X10] :
      ( ~ member(member_of_1_not_of_2(X10,X9),X9)
      | subset(X10,X9) ),
    file('<stdin>',subsets_axiom2) ).

fof(c_0_3_004,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,intersection(X6,X5))
      | member(X3,X6) ),
    file('<stdin>',member_of_intersection_is_member_of_set1) ).

fof(c_0_4_005,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,intersection(X6,X5))
      | member(X3,X5) ),
    file('<stdin>',member_of_intersection_is_member_of_set2) ).

fof(c_0_5_006,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,X6)
      | member(X3,union(X6,X5)) ),
    file('<stdin>',member_of_set1_is_member_of_union) ).

fof(c_0_6_007,axiom,
    ! [X5,X6,X3] :
      ( ~ member(X3,X5)
      | member(X3,union(X6,X5)) ),
    file('<stdin>',member_of_set2_is_member_of_union) ).

fof(c_0_7_008,axiom,
    ! [X9,X10,X11] :
      ( ~ member(X11,X10)
      | ~ subset(X10,X9)
      | member(X11,X9) ),
    file('<stdin>',membership_in_subsets) ).

fof(c_0_8_009,axiom,
    ! [X7,X8] :
      ( ~ subset(X8,X7)
      | ~ subset(X7,X8)
      | equal_sets(X7,X8) ),
    file('<stdin>',subsets_are_set_equal_sets) ).

fof(c_0_9_010,axiom,
    ! [X4,X5,X6] :
      ( ~ equal_sets(X6,X5)
      | ~ equal_sets(X5,X4)
      | equal_sets(X6,X4) ),
    file('<stdin>',transitivity_for_set_equal) ).

fof(c_0_10_011,axiom,
    ! [X1,X2,X3] :
      ( ~ equal_elements(X3,X2)
      | ~ equal_elements(X2,X1)
      | equal_elements(X3,X1) ),
    file('<stdin>',transitivity_for_equal_elements) ).

fof(c_0_11_012,axiom,
    ! [X6,X3] :
      ( ~ member(X3,X6)
      | ~ member(X3,complement(X6)) ),
    file('<stdin>',not_member_of_set_and_complement) ).

fof(c_0_12_013,axiom,
    ! [X9,X10] :
      ( subset(X10,X9)
      | member(member_of_1_not_of_2(X10,X9),X10) ),
    file('<stdin>',subsets_axiom1) ).

fof(c_0_13_014,axiom,
    ! [X9,X10] :
      ( ~ equal_sets(X10,X9)
      | subset(X10,X9) ),
    file('<stdin>',set_equal_sets_are_subsets1) ).

fof(c_0_14_015,axiom,
    ! [X9,X10] :
      ( ~ equal_sets(X9,X10)
      | subset(X10,X9) ),
    file('<stdin>',set_equal_sets_are_subsets2) ).

fof(c_0_15,axiom,
    ! [X5,X6] :
      ( ~ equal_sets(X6,X5)
      | equal_sets(X5,X6) ),
    file('<stdin>',symmetry_for_set_equal) ).

fof(c_0_16,axiom,
    ! [X2,X3] :
      ( ~ equal_elements(X3,X2)
      | equal_elements(X2,X3) ),
    file('<stdin>',symmetry_for_equal_elements) ).

fof(c_0_17,axiom,
    ! [X6,X3] :
      ( member(X3,X6)
      | member(X3,complement(X6)) ),
    file('<stdin>',member_of_set_or_complement) ).

fof(c_0_18,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,union(X6,X5))
      | member(X3,X6)
      | member(X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_19,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,X6)
      | ~ member(X3,X5)
      | member(X3,intersection(X6,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_20,plain,
    ! [X9,X10] :
      ( ~ member(member_of_1_not_of_2(X10,X9),X9)
      | subset(X10,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_21,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,intersection(X6,X5))
      | member(X3,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_22,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,intersection(X6,X5))
      | member(X3,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_23,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,X6)
      | member(X3,union(X6,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_24,plain,
    ! [X5,X6,X3] :
      ( ~ member(X3,X5)
      | member(X3,union(X6,X5)) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_25,plain,
    ! [X9,X10,X11] :
      ( ~ member(X11,X10)
      | ~ subset(X10,X9)
      | member(X11,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_26,plain,
    ! [X7,X8] :
      ( ~ subset(X8,X7)
      | ~ subset(X7,X8)
      | equal_sets(X7,X8) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_27,plain,
    ! [X4,X5,X6] :
      ( ~ equal_sets(X6,X5)
      | ~ equal_sets(X5,X4)
      | equal_sets(X6,X4) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_28,plain,
    ! [X1,X2,X3] :
      ( ~ equal_elements(X3,X2)
      | ~ equal_elements(X2,X1)
      | equal_elements(X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_29,plain,
    ! [X6,X3] :
      ( ~ member(X3,X6)
      | ~ member(X3,complement(X6)) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_30,axiom,
    ! [X9,X10] :
      ( subset(X10,X9)
      | member(member_of_1_not_of_2(X10,X9),X10) ),
    c_0_12 ).

fof(c_0_31,plain,
    ! [X9,X10] :
      ( ~ equal_sets(X10,X9)
      | subset(X10,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_32,plain,
    ! [X9,X10] :
      ( ~ equal_sets(X9,X10)
      | subset(X10,X9) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_33,plain,
    ! [X5,X6] :
      ( ~ equal_sets(X6,X5)
      | equal_sets(X5,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_34,plain,
    ! [X2,X3] :
      ( ~ equal_elements(X3,X2)
      | equal_elements(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_35,axiom,
    ! [X6,X3] :
      ( member(X3,X6)
      | member(X3,complement(X6)) ),
    c_0_17 ).

fof(c_0_36,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,union(X8,X7))
      | member(X9,X8)
      | member(X9,X7) ),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_37,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,X8)
      | ~ member(X9,X7)
      | member(X9,intersection(X8,X7)) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_38,plain,
    ! [X11,X12] :
      ( ~ member(member_of_1_not_of_2(X12,X11),X11)
      | subset(X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_39,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,intersection(X8,X7))
      | member(X9,X8) ),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_40,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,intersection(X8,X7))
      | member(X9,X7) ),
    inference(variable_rename,[status(thm)],[c_0_22]) ).

fof(c_0_41,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,X8)
      | member(X9,union(X8,X7)) ),
    inference(variable_rename,[status(thm)],[c_0_23]) ).

fof(c_0_42,plain,
    ! [X7,X8,X9] :
      ( ~ member(X9,X7)
      | member(X9,union(X8,X7)) ),
    inference(variable_rename,[status(thm)],[c_0_24]) ).

fof(c_0_43,plain,
    ! [X12,X13,X14] :
      ( ~ member(X14,X13)
      | ~ subset(X13,X12)
      | member(X14,X12) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_44,plain,
    ! [X9,X10] :
      ( ~ subset(X10,X9)
      | ~ subset(X9,X10)
      | equal_sets(X9,X10) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_45,plain,
    ! [X7,X8,X9] :
      ( ~ equal_sets(X9,X8)
      | ~ equal_sets(X8,X7)
      | equal_sets(X9,X7) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_46,plain,
    ! [X4,X5,X6] :
      ( ~ equal_elements(X6,X5)
      | ~ equal_elements(X5,X4)
      | equal_elements(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_28]) ).

fof(c_0_47,plain,
    ! [X7,X8] :
      ( ~ member(X8,X7)
      | ~ member(X8,complement(X7)) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_48,plain,
    ! [X11,X12] :
      ( subset(X12,X11)
      | member(member_of_1_not_of_2(X12,X11),X12) ),
    inference(variable_rename,[status(thm)],[c_0_30]) ).

fof(c_0_49,plain,
    ! [X11,X12] :
      ( ~ equal_sets(X12,X11)
      | subset(X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_50,plain,
    ! [X11,X12] :
      ( ~ equal_sets(X11,X12)
      | subset(X12,X11) ),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_51,plain,
    ! [X7,X8] :
      ( ~ equal_sets(X8,X7)
      | equal_sets(X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_52,plain,
    ! [X4,X5] :
      ( ~ equal_elements(X5,X4)
      | equal_elements(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_53,plain,
    ! [X7,X8] :
      ( member(X8,X7)
      | member(X8,complement(X7)) ),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

cnf(c_0_54,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_55,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_56,plain,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_57,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_58,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_59,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_60,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_61,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_62,plain,
    ( equal_sets(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_63,plain,
    ( equal_sets(X1,X2)
    | ~ equal_sets(X3,X2)
    | ~ equal_sets(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_64,plain,
    ( equal_elements(X1,X2)
    | ~ equal_elements(X3,X2)
    | ~ equal_elements(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_65,plain,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_66,plain,
    ( member(member_of_1_not_of_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_67,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_68,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_69,plain,
    ( equal_sets(X1,X2)
    | ~ equal_sets(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_70,plain,
    ( equal_elements(X1,X2)
    | ~ equal_elements(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_71,plain,
    ( member(X1,complement(X2))
    | member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_72,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    c_0_54,
    [final] ).

cnf(c_0_73,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_55,
    [final] ).

cnf(c_0_74,plain,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    c_0_56,
    [final] ).

cnf(c_0_75,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_57,
    [final] ).

cnf(c_0_76,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    c_0_58,
    [final] ).

cnf(c_0_77,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    c_0_59,
    [final] ).

cnf(c_0_78,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    c_0_60,
    [final] ).

cnf(c_0_79,plain,
    ( member(X1,X2)
    | ~ subset(X3,X2)
    | ~ member(X1,X3) ),
    c_0_61,
    [final] ).

cnf(c_0_80,plain,
    ( equal_sets(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    c_0_62,
    [final] ).

cnf(c_0_81,plain,
    ( equal_sets(X1,X2)
    | ~ equal_sets(X3,X2)
    | ~ equal_sets(X1,X3) ),
    c_0_63,
    [final] ).

cnf(c_0_82,plain,
    ( equal_elements(X1,X2)
    | ~ equal_elements(X3,X2)
    | ~ equal_elements(X1,X3) ),
    c_0_64,
    [final] ).

cnf(c_0_83,plain,
    ( ~ member(X1,complement(X2))
    | ~ member(X1,X2) ),
    c_0_65,
    [final] ).

cnf(c_0_84,plain,
    ( member(member_of_1_not_of_2(X1,X2),X1)
    | subset(X1,X2) ),
    c_0_66,
    [final] ).

cnf(c_0_85,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X1,X2) ),
    c_0_67,
    [final] ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | ~ equal_sets(X2,X1) ),
    c_0_68,
    [final] ).

cnf(c_0_87,plain,
    ( equal_sets(X1,X2)
    | ~ equal_sets(X2,X1) ),
    c_0_69,
    [final] ).

cnf(c_0_88,plain,
    ( equal_elements(X1,X2)
    | ~ equal_elements(X2,X1) ),
    c_0_70,
    [final] ).

cnf(c_0_89,plain,
    ( member(X1,complement(X2))
    | member(X1,X2) ),
    c_0_71,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_72_0,axiom,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

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

cnf(c_0_72_2,axiom,
    ( ~ member(X1,union(X3,X2))
    | member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

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

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

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

cnf(c_0_74_0,axiom,
    ( subset(X1,X2)
    | ~ member(member_of_1_not_of_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_1,axiom,
    ( ~ member(member_of_1_not_of_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_75_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_76_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_1,axiom,
    ( ~ member(X1,intersection(X3,X2))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_1,axiom,
    ( ~ member(X1,X2)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_78_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

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

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

cnf(c_0_79_2,axiom,
    ( ~ member(X1,X3)
    | ~ subset(X3,X2)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_80_0,axiom,
    ( equal_sets(X1,X2)
    | ~ subset(X1,X2)
    | ~ subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_1,axiom,
    ( ~ subset(X1,X2)
    | equal_sets(X1,X2)
    | ~ subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_80_2,axiom,
    ( ~ subset(X2,X1)
    | ~ subset(X1,X2)
    | equal_sets(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

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

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

cnf(c_0_81_2,axiom,
    ( ~ equal_sets(X1,X3)
    | ~ equal_sets(X3,X2)
    | equal_sets(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

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

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

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

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

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

cnf(c_0_84_0,axiom,
    ( member(member_of_1_not_of_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_1,axiom,
    ( subset(X1,X2)
    | member(member_of_1_not_of_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

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

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

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

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

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

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

cnf(c_0_88_0,axiom,
    ( equal_elements(X1,X2)
    | ~ equal_elements(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_88_1,axiom,
    ( ~ equal_elements(X2,X1)
    | equal_elements(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    ( member(X1,complement(X2))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

cnf(c_0_89_1,axiom,
    ( member(X1,X2)
    | member(X1,complement(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_016,hypothesis,
    equal_sets(union(bs,as),ds),
    file('<stdin>',b_union_a_is_d) ).

fof(c_0_1_017,hypothesis,
    equal_sets(union(as,bs),cs),
    file('<stdin>',a_union_b_is_c) ).

fof(c_0_2_018,negated_conjecture,
    ~ equal_sets(cs,ds),
    file('<stdin>',prove_c_equals_d) ).

fof(c_0_3_019,hypothesis,
    equal_sets(union(bs,as),ds),
    c_0_0 ).

fof(c_0_4_020,hypothesis,
    equal_sets(union(as,bs),cs),
    c_0_1 ).

fof(c_0_5_021,negated_conjecture,
    ~ equal_sets(cs,ds),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_6_022,hypothesis,
    equal_sets(union(bs,as),ds),
    c_0_3 ).

fof(c_0_7_023,hypothesis,
    equal_sets(union(as,bs),cs),
    c_0_4 ).

fof(c_0_8_024,negated_conjecture,
    ~ equal_sets(cs,ds),
    c_0_5 ).

cnf(c_0_9_025,hypothesis,
    equal_sets(union(bs,as),ds),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10_026,hypothesis,
    equal_sets(union(as,bs),cs),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11_027,negated_conjecture,
    ~ equal_sets(cs,ds),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_12_028,hypothesis,
    equal_sets(union(bs,as),ds),
    c_0_9,
    [final] ).

cnf(c_0_13_029,hypothesis,
    equal_sets(union(as,bs),cs),
    c_0_10,
    [final] ).

cnf(c_0_14_030,negated_conjecture,
    ~ equal_sets(cs,ds),
    c_0_11,
    [final] ).

% End CNF derivation

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

cnf(c_0,plain,
    ( ~ member(X0,union(X1,X2))
    | member(X0,X1)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_72_0) ).

cnf(c_342485,plain,
    ( ~ member(X0,union(X1,X2))
    | member(X0,X1)
    | member(X0,X2) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_342853,plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),union(X0,X1))
    | member(member_of_1_not_of_2(ds,cs),X0)
    | member(member_of_1_not_of_2(ds,cs),X1) ),
    inference(instantiation,[status(thm)],[c_342485]) ).

cnf(c_381028,plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),union(bs,as))
    | member(member_of_1_not_of_2(ds,cs),bs)
    | member(member_of_1_not_of_2(ds,cs),as) ),
    inference(instantiation,[status(thm)],[c_342853]) ).

cnf(c_12,plain,
    ( ~ member(X0,X1)
    | member(X0,union(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_77_0) ).

cnf(c_89,plain,
    ( ~ member(X0,X1)
    | member(X0,union(X1,X2)) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_202947,plain,
    ( member(member_of_1_not_of_2(X0,cs),union(X0,X1))
    | ~ member(member_of_1_not_of_2(X0,cs),X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_267244,plain,
    ( member(member_of_1_not_of_2(as,cs),union(as,bs))
    | ~ member(member_of_1_not_of_2(as,cs),as) ),
    inference(instantiation,[status(thm)],[c_202947]) ).

cnf(c_15,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_78_1) ).

cnf(c_92,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X2) ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_36019,plain,
    ( member(member_of_1_not_of_2(cs,ds),union(X0,X1))
    | ~ member(member_of_1_not_of_2(cs,ds),X1) ),
    inference(instantiation,[status(thm)],[c_92]) ).

cnf(c_98064,plain,
    ( member(member_of_1_not_of_2(cs,ds),union(bs,as))
    | ~ member(member_of_1_not_of_2(cs,ds),as) ),
    inference(instantiation,[status(thm)],[c_36019]) ).

cnf(c_35808,plain,
    ( member(member_of_1_not_of_2(cs,ds),union(X0,X1))
    | ~ member(member_of_1_not_of_2(cs,ds),X0) ),
    inference(instantiation,[status(thm)],[c_89]) ).

cnf(c_98065,plain,
    ( member(member_of_1_not_of_2(cs,ds),union(bs,as))
    | ~ member(member_of_1_not_of_2(cs,ds),bs) ),
    inference(instantiation,[status(thm)],[c_35808]) ).

cnf(c_14,plain,
    ( ~ member(X0,X1)
    | member(X0,union(X2,X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_78_0) ).

cnf(c_91,plain,
    ( ~ member(X0,X1)
    | member(X0,union(X2,X1)) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_96745,plain,
    ( member(member_of_1_not_of_2(ds,cs),union(as,bs))
    | ~ member(member_of_1_not_of_2(ds,cs),bs) ),
    inference(instantiation,[status(thm)],[c_91]) ).

cnf(c_18,plain,
    ( member(X0,X1)
    | ~ subset(X2,X1)
    | ~ member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_79_2) ).

cnf(c_95,plain,
    ( member(X0,X1)
    | ~ subset(X2,X1)
    | ~ member(X0,X2) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_17638,plain,
    ( member(member_of_1_not_of_2(cs,ds),ds)
    | ~ member(member_of_1_not_of_2(cs,ds),X0)
    | ~ subset(X0,ds) ),
    inference(instantiation,[status(thm)],[c_95]) ).

cnf(c_35754,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),union(X0,X1))
    | member(member_of_1_not_of_2(cs,ds),ds)
    | ~ subset(union(X0,X1),ds) ),
    inference(instantiation,[status(thm)],[c_17638]) ).

cnf(c_93918,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),union(bs,as))
    | member(member_of_1_not_of_2(cs,ds),ds)
    | ~ subset(union(bs,as),ds) ),
    inference(instantiation,[status(thm)],[c_35754]) ).

cnf(c_16,plain,
    ( ~ member(X0,X1)
    | ~ subset(X1,X2)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_79_0) ).

cnf(c_93,plain,
    ( ~ member(X0,X1)
    | ~ subset(X1,X2)
    | member(X0,X2) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_17859,plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),ds)
    | member(member_of_1_not_of_2(ds,cs),X0)
    | ~ subset(ds,X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_64056,plain,
    ( member(member_of_1_not_of_2(ds,cs),union(bs,as))
    | ~ member(member_of_1_not_of_2(ds,cs),ds)
    | ~ subset(ds,union(bs,as)) ),
    inference(instantiation,[status(thm)],[c_17859]) ).

cnf(c_36663,plain,
    ( member(member_of_1_not_of_2(X0,cs),cs)
    | ~ member(member_of_1_not_of_2(X0,cs),X1)
    | ~ subset(X1,cs) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_61457,plain,
    ( ~ member(member_of_1_not_of_2(X0,cs),union(as,bs))
    | member(member_of_1_not_of_2(X0,cs),cs)
    | ~ subset(union(as,bs),cs) ),
    inference(instantiation,[status(thm)],[c_36663]) ).

cnf(c_61458,plain,
    ( ~ member(member_of_1_not_of_2(as,cs),union(as,bs))
    | member(member_of_1_not_of_2(as,cs),cs)
    | ~ subset(union(as,bs),cs) ),
    inference(instantiation,[status(thm)],[c_61457]) ).

cnf(c_77,plain,
    ( ~ member(X0,union(X1,X2))
    | member(X0,X1)
    | member(X0,X2) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_35775,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),union(X0,X1))
    | member(member_of_1_not_of_2(cs,ds),X0)
    | member(member_of_1_not_of_2(cs,ds),X1) ),
    inference(instantiation,[status(thm)],[c_77]) ).

cnf(c_61147,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),union(as,bs))
    | member(member_of_1_not_of_2(cs,ds),bs)
    | member(member_of_1_not_of_2(cs,ds),as) ),
    inference(instantiation,[status(thm)],[c_35775]) ).

cnf(c_36646,plain,
    ( member(member_of_1_not_of_2(ds,cs),cs)
    | ~ member(member_of_1_not_of_2(ds,cs),X0)
    | ~ subset(X0,cs) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_60344,plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),union(as,bs))
    | member(member_of_1_not_of_2(ds,cs),cs)
    | ~ subset(union(as,bs),cs) ),
    inference(instantiation,[status(thm)],[c_36646]) ).

cnf(c_35,plain,
    ( subset(X0,X1)
    | ~ equal_sets(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_86_1) ).

cnf(c_112,plain,
    ( subset(X0,X1)
    | ~ equal_sets(X1,X0) ),
    inference(copy,[status(esa)],[c_35]) ).

cnf(c_17946,plain,
    ( subset(X0,ds)
    | ~ equal_sets(ds,X0) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_59994,plain,
    ( subset(union(bs,as),ds)
    | ~ equal_sets(ds,union(bs,as)) ),
    inference(instantiation,[status(thm)],[c_17946]) ).

cnf(c_36647,plain,
    ( member(member_of_1_not_of_2(ds,cs),cs)
    | ~ member(member_of_1_not_of_2(ds,cs),as)
    | ~ subset(as,cs) ),
    inference(instantiation,[status(thm)],[c_36646]) ).

cnf(c_17684,plain,
    ( subset(X0,cs)
    | ~ equal_sets(cs,X0) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_35900,plain,
    ( subset(union(as,bs),cs)
    | ~ equal_sets(cs,union(as,bs)) ),
    inference(instantiation,[status(thm)],[c_17684]) ).

cnf(c_17703,plain,
    ( subset(ds,X0)
    | ~ equal_sets(X0,ds) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_35802,plain,
    ( subset(ds,union(bs,as))
    | ~ equal_sets(union(bs,as),ds) ),
    inference(instantiation,[status(thm)],[c_17703]) ).

cnf(c_17863,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),cs)
    | member(member_of_1_not_of_2(cs,ds),X0)
    | ~ subset(cs,X0) ),
    inference(instantiation,[status(thm)],[c_93]) ).

cnf(c_35786,plain,
    ( member(member_of_1_not_of_2(cs,ds),union(as,bs))
    | ~ member(member_of_1_not_of_2(cs,ds),cs)
    | ~ subset(cs,union(as,bs)) ),
    inference(instantiation,[status(thm)],[c_17863]) ).

cnf(c_17520,plain,
    ( subset(cs,X0)
    | ~ equal_sets(X0,cs) ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_18369,plain,
    ( subset(cs,union(as,bs))
    | ~ equal_sets(union(as,bs),cs) ),
    inference(instantiation,[status(thm)],[c_17520]) ).

cnf(c_7,plain,
    ( subset(X0,X1)
    | ~ member(member_of_1_not_of_2(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_74_1) ).

cnf(c_84,plain,
    ( subset(X0,X1)
    | ~ member(member_of_1_not_of_2(X0,X1),X1) ),
    inference(copy,[status(esa)],[c_7]) ).

cnf(c_17680,plain,
    ( ~ member(member_of_1_not_of_2(X0,cs),cs)
    | subset(X0,cs) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_17690,plain,
    ( ~ member(member_of_1_not_of_2(as,cs),cs)
    | subset(as,cs) ),
    inference(instantiation,[status(thm)],[c_17680]) ).

cnf(c_31,plain,
    ( member(member_of_1_not_of_2(X0,X1),X0)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_84_1) ).

cnf(c_108,plain,
    ( member(member_of_1_not_of_2(X0,X1),X0)
    | subset(X0,X1) ),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_17681,plain,
    ( member(member_of_1_not_of_2(X0,cs),X0)
    | subset(X0,cs) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_17689,plain,
    ( member(member_of_1_not_of_2(as,cs),as)
    | subset(as,cs) ),
    inference(instantiation,[status(thm)],[c_17681]) ).

cnf(c_36,plain,
    ( ~ equal_sets(X0,X1)
    | equal_sets(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_87_0) ).

cnf(c_113,plain,
    ( ~ equal_sets(X0,X1)
    | equal_sets(X1,X0) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_17492,plain,
    ( equal_sets(ds,X0)
    | ~ equal_sets(X0,ds) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_17674,plain,
    ( ~ equal_sets(union(bs,as),ds)
    | equal_sets(ds,union(bs,as)) ),
    inference(instantiation,[status(thm)],[c_17492]) ).

cnf(c_17458,plain,
    ( equal_sets(cs,X0)
    | ~ equal_sets(X0,cs) ),
    inference(instantiation,[status(thm)],[c_113]) ).

cnf(c_17514,plain,
    ( ~ equal_sets(union(as,bs),cs)
    | equal_sets(cs,union(as,bs)) ),
    inference(instantiation,[status(thm)],[c_17458]) ).

cnf(c_17481,plain,
    ( ~ member(member_of_1_not_of_2(ds,cs),cs)
    | subset(ds,cs) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_17482,plain,
    ( member(member_of_1_not_of_2(ds,cs),ds)
    | subset(ds,cs) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_17448,plain,
    ( ~ member(member_of_1_not_of_2(cs,ds),ds)
    | subset(cs,ds) ),
    inference(instantiation,[status(thm)],[c_84]) ).

cnf(c_17449,plain,
    ( member(member_of_1_not_of_2(cs,ds),cs)
    | subset(cs,ds) ),
    inference(instantiation,[status(thm)],[c_108]) ).

cnf(c_19,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X0)
    | equal_sets(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_80_0) ).

cnf(c_96,plain,
    ( ~ subset(X0,X1)
    | ~ subset(X1,X0)
    | equal_sets(X1,X0) ),
    inference(copy,[status(esa)],[c_19]) ).

cnf(c_17416,plain,
    ( ~ subset(cs,ds)
    | ~ subset(ds,cs)
    | equal_sets(cs,ds) ),
    inference(instantiation,[status(thm)],[c_96]) ).

cnf(c_46,plain,
    equal_sets(union(bs,as),ds),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_12) ).

cnf(c_47,plain,
    equal_sets(union(as,bs),cs),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_13) ).

cnf(c_45,negated_conjecture,
    ~ equal_sets(cs,ds),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a70230.p',c_0_14) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_381028,c_267244,c_98064,c_98065,c_96745,c_93918,c_64056,c_61458,c_61147,c_60344,c_59994,c_36647,c_35900,c_35802,c_35786,c_18369,c_17690,c_17689,c_17674,c_17514,c_17481,c_17482,c_17448,c_17449,c_17416,c_46,c_47,c_45]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET015-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jul 11 10:02:04 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Running in mono-core mode
% 0.21/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.41  % Orientation found
% 0.21/0.41  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_797191.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a70230.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1c0f42 | grep -v "SZS"
% 0.21/0.43  
% 0.21/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------  iProver source info 
% 0.21/0.43  
% 0.21/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.43  % git: non_committed_changes: true
% 0.21/0.43  % git: last_make_outside_of_git: true
% 0.21/0.43  
% 0.21/0.43  % 
% 0.21/0.43  % ------ Input Options
% 0.21/0.43  
% 0.21/0.43  % --out_options                         all
% 0.21/0.43  % --tptp_safe_out                       true
% 0.21/0.43  % --problem_path                        ""
% 0.21/0.43  % --include_path                        ""
% 0.21/0.43  % --clausifier                          .//eprover
% 0.21/0.43  % --clausifier_options                  --tstp-format  
% 0.21/0.43  % --stdin                               false
% 0.21/0.43  % --dbg_backtrace                       false
% 0.21/0.43  % --dbg_dump_prop_clauses               false
% 0.21/0.43  % --dbg_dump_prop_clauses_file          -
% 0.21/0.43  % --dbg_out_stat                        false
% 0.21/0.43  
% 0.21/0.43  % ------ General Options
% 0.21/0.43  
% 0.21/0.43  % --fof                                 false
% 0.21/0.43  % --time_out_real                       150.
% 0.21/0.43  % --time_out_prep_mult                  0.2
% 0.21/0.43  % --time_out_virtual                    -1.
% 0.21/0.43  % --schedule                            none
% 0.21/0.43  % --ground_splitting                    input
% 0.21/0.43  % --splitting_nvd                       16
% 0.21/0.43  % --non_eq_to_eq                        false
% 0.21/0.43  % --prep_gs_sim                         true
% 0.21/0.43  % --prep_unflatten                      false
% 0.21/0.43  % --prep_res_sim                        true
% 0.21/0.43  % --prep_upred                          true
% 0.21/0.43  % --res_sim_input                       true
% 0.21/0.43  % --clause_weak_htbl                    true
% 0.21/0.43  % --gc_record_bc_elim                   false
% 0.21/0.43  % --symbol_type_check                   false
% 0.21/0.43  % --clausify_out                        false
% 0.21/0.43  % --large_theory_mode                   false
% 0.21/0.43  % --prep_sem_filter                     none
% 0.21/0.43  % --prep_sem_filter_out                 false
% 0.21/0.43  % --preprocessed_out                    false
% 0.21/0.43  % --sub_typing                          false
% 0.21/0.43  % --brand_transform                     false
% 0.21/0.43  % --pure_diseq_elim                     true
% 0.21/0.43  % --min_unsat_core                      false
% 0.21/0.43  % --pred_elim                           true
% 0.21/0.43  % --add_important_lit                   false
% 0.21/0.43  % --soft_assumptions                    false
% 0.21/0.43  % --reset_solvers                       false
% 0.21/0.43  % --bc_imp_inh                          []
% 0.21/0.43  % --conj_cone_tolerance                 1.5
% 0.21/0.43  % --prolific_symb_bound                 500
% 0.21/0.43  % --lt_threshold                        2000
% 0.21/0.43  
% 0.21/0.43  % ------ SAT Options
% 0.21/0.43  
% 0.21/0.43  % --sat_mode                            false
% 0.21/0.43  % --sat_fm_restart_options              ""
% 0.21/0.43  % --sat_gr_def                          false
% 0.21/0.43  % --sat_epr_types                       true
% 0.21/0.43  % --sat_non_cyclic_types                false
% 0.21/0.43  % --sat_finite_models                   false
% 0.21/0.43  % --sat_fm_lemmas                       false
% 0.21/0.43  % --sat_fm_prep                         false
% 0.21/0.43  % --sat_fm_uc_incr                      true
% 0.21/0.43  % --sat_out_model                       small
% 0.21/0.43  % --sat_out_clauses                     false
% 0.21/0.43  
% 0.21/0.43  % ------ QBF Options
% 0.21/0.43  
% 0.21/0.43  % --qbf_mode                            false
% 0.21/0.43  % --qbf_elim_univ                       true
% 0.21/0.43  % --qbf_sk_in                           true
% 0.21/0.43  % --qbf_pred_elim                       true
% 0.21/0.43  % --qbf_split                           32
% 0.21/0.43  
% 0.21/0.43  % ------ BMC1 Options
% 0.21/0.43  
% 0.21/0.43  % --bmc1_incremental                    false
% 0.21/0.43  % --bmc1_axioms                         reachable_all
% 0.21/0.43  % --bmc1_min_bound                      0
% 0.21/0.43  % --bmc1_max_bound                      -1
% 0.21/0.43  % --bmc1_max_bound_default              -1
% 0.21/0.43  % --bmc1_symbol_reachability            true
% 0.21/0.43  % --bmc1_property_lemmas                false
% 0.21/0.43  % --bmc1_k_induction                    false
% 0.21/0.43  % --bmc1_non_equiv_states               false
% 0.21/0.43  % --bmc1_deadlock                       false
% 0.21/0.43  % --bmc1_ucm                            false
% 0.21/0.43  % --bmc1_add_unsat_core                 none
% 0.21/0.43  % --bmc1_unsat_core_children            false
% 0.21/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.43  % --bmc1_out_stat                       full
% 0.21/0.43  % --bmc1_ground_init                    false
% 0.21/0.43  % --bmc1_pre_inst_next_state            false
% 0.21/0.43  % --bmc1_pre_inst_state                 false
% 0.21/0.43  % --bmc1_pre_inst_reach_state           false
% 0.21/0.43  % --bmc1_out_unsat_core                 false
% 0.21/0.43  % --bmc1_aig_witness_out                false
% 0.21/0.43  % --bmc1_verbose                        false
% 0.21/0.43  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_797191.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  % ------ Parsing...% successful
% 0.21/0.44  
% 0.21/0.44  % ------ 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 % 
% 0.21/0.44  
% 0.21/0.44  % ------ Proving...
% 0.21/0.44  % ------ Problem Properties 
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % EPR                                   false
% 0.21/0.44  % Horn                                  false
% 0.21/0.44  % Has equality                          false
% 0.21/0.44  
% 0.21/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % % ------ Current options:
% 0.21/0.44  
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 36.17/36.35  % --inst_prop_sim_new                   false
% 36.17/36.35  % --inst_orphan_elimination             true
% 36.17/36.35  % --inst_learning_loop_flag             true
% 36.17/36.35  % --inst_learning_start                 3000
% 36.17/36.35  % --inst_learning_factor                2
% 36.17/36.35  % --inst_start_prop_sim_after_learn     3
% 36.17/36.35  % --inst_sel_renew                      solver
% 36.17/36.35  % --inst_lit_activity_flag              true
% 36.17/36.35  % --inst_out_proof                      true
% 36.17/36.35  
% 36.17/36.35  % ------ Resolution Options
% 36.17/36.35  
% 36.17/36.35  % --resolution_flag                     true
% 36.17/36.35  % --res_lit_sel                         kbo_max
% 36.17/36.35  % --res_to_prop_solver                  none
% 36.17/36.35  % --res_prop_simpl_new                  false
% 36.17/36.35  % --res_prop_simpl_given                false
% 36.17/36.35  % --res_passive_queue_type              priority_queues
% 36.17/36.35  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 36.17/36.35  % --res_passive_queues_freq             [15;5]
% 36.17/36.35  % --res_forward_subs                    full
% 36.17/36.35  % --res_backward_subs                   full
% 36.17/36.35  % --res_forward_subs_resolution         true
% 36.17/36.35  % --res_backward_subs_resolution        true
% 36.17/36.35  % --res_orphan_elimination              false
% 36.17/36.35  % --res_time_limit                      1000.
% 36.17/36.35  % --res_out_proof                       true
% 36.17/36.35  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_797191.s
% 36.17/36.35  % --modulo                              true
% 36.17/36.35  
% 36.17/36.35  % ------ Combination Options
% 36.17/36.35  
% 36.17/36.35  % --comb_res_mult                       1000
% 36.17/36.35  % --comb_inst_mult                      300
% 36.17/36.35  % ------ 
% 36.17/36.35  
% 36.17/36.35  
% 36.17/36.35  
% 36.17/36.35  % ------ Proving...
% 36.17/36.35  % 
% 36.17/36.35  
% 36.17/36.35  
% 36.17/36.35  % ------                             Statistics
% 36.17/36.35  
% 36.17/36.35  % ------ General
% 36.17/36.35  
% 36.17/36.35  % num_of_input_clauses:                 48
% 36.17/36.35  % num_of_input_neg_conjectures:         1
% 36.17/36.35  % num_of_splits:                        0
% 36.17/36.35  % num_of_split_atoms:                   0
% 36.17/36.35  % num_of_sem_filtered_clauses:          0
% 36.17/36.35  % num_of_subtypes:                      0
% 36.17/36.35  % monotx_restored_types:                0
% 36.17/36.35  % sat_num_of_epr_types:                 0
% 36.17/36.35  % sat_num_of_non_cyclic_types:          0
% 36.17/36.35  % sat_guarded_non_collapsed_types:      0
% 36.17/36.35  % is_epr:                               0
% 36.17/36.35  % is_horn:                              0
% 36.17/36.35  % has_eq:                               0
% 36.17/36.35  % num_pure_diseq_elim:                  0
% 36.17/36.35  % simp_replaced_by:                     0
% 36.17/36.35  % res_preprocessed:                     4
% 36.17/36.35  % prep_upred:                           0
% 36.17/36.35  % prep_unflattend:                      0
% 36.17/36.35  % pred_elim_cands:                      0
% 36.17/36.35  % pred_elim:                            0
% 36.17/36.35  % pred_elim_cl:                         0
% 36.17/36.35  % pred_elim_cycles:                     0
% 36.17/36.35  % forced_gc_time:                       0
% 36.17/36.35  % gc_basic_clause_elim:                 0
% 36.17/36.35  % parsing_time:                         0.001
% 36.17/36.35  % sem_filter_time:                      0.
% 36.17/36.35  % pred_elim_time:                       0.
% 36.17/36.35  % out_proof_time:                       0.003
% 36.17/36.35  % monotx_time:                          0.
% 36.17/36.35  % subtype_inf_time:                     0.
% 36.17/36.35  % unif_index_cands_time:                0.069
% 36.17/36.35  % unif_index_add_time:                  0.052
% 36.17/36.35  % total_time:                           35.93
% 36.17/36.35  % num_of_symbols:                       38
% 36.17/36.35  % num_of_terms:                         634414
% 36.17/36.35  
% 36.17/36.35  % ------ Propositional Solver
% 36.17/36.35  
% 36.17/36.35  % prop_solver_calls:                    27
% 36.17/36.35  % prop_fast_solver_calls:               7
% 36.17/36.35  % prop_num_of_clauses:                  14902
% 36.17/36.35  % prop_preprocess_simplified:           16711
% 36.17/36.35  % prop_fo_subsumed:                     0
% 36.17/36.35  % prop_solver_time:                     0.014
% 36.17/36.35  % prop_fast_solver_time:                0.
% 36.17/36.35  % prop_unsat_core_time:                 0.002
% 36.17/36.35  
% 36.17/36.35  % ------ QBF 
% 36.17/36.35  
% 36.17/36.35  % qbf_q_res:                            0
% 36.17/36.35  % qbf_num_tautologies:                  0
% 36.17/36.35  % qbf_prep_cycles:                      0
% 36.17/36.35  
% 36.17/36.35  % ------ BMC1
% 36.17/36.35  
% 36.17/36.35  % bmc1_current_bound:                   -1
% 36.17/36.35  % bmc1_last_solved_bound:               -1
% 36.17/36.35  % bmc1_unsat_core_size:                 -1
% 36.17/36.35  % bmc1_unsat_core_parents_size:         -1
% 36.17/36.35  % bmc1_merge_next_fun:                  0
% 36.17/36.35  % bmc1_unsat_core_clauses_time:         0.
% 36.17/36.35  
% 36.17/36.35  % ------ Instantiation
% 36.17/36.35  
% 36.17/36.35  % inst_num_of_clauses:                  1422
% 36.17/36.35  % inst_num_in_passive:                  453
% 36.17/36.35  % inst_num_in_active:                   479
% 36.17/36.35  % inst_num_in_unprocessed:              475
% 36.17/36.35  % inst_num_of_loops:                    510
% 36.20/36.35  % inst_num_of_learning_restarts:        1
% 36.20/36.35  % inst_num_moves_active_passive:        14
% 36.20/36.35  % inst_lit_activity:                    409
% 36.20/36.35  % inst_lit_activity_moves:              0
% 36.20/36.35  % inst_num_tautologies:                 14
% 36.20/36.35  % inst_num_prop_implied:                0
% 36.20/36.35  % inst_num_existing_simplified:         0
% 36.20/36.35  % inst_num_eq_res_simplified:           0
% 36.20/36.35  % inst_num_child_elim:                  0
% 36.20/36.35  % inst_num_of_dismatching_blockings:    2627
% 36.20/36.35  % inst_num_of_non_proper_insts:         1977
% 36.20/36.35  % inst_num_of_duplicates:               1138
% 36.20/36.35  % inst_inst_num_from_inst_to_res:       0
% 36.20/36.35  % inst_dismatching_checking_time:       0.145
% 36.20/36.35  
% 36.20/36.35  % ------ Resolution
% 36.20/36.35  
% 36.20/36.35  % res_num_of_clauses:                   94176
% 36.20/36.35  % res_num_in_passive:                   86150
% 36.20/36.35  % res_num_in_active:                    9201
% 36.20/36.35  % res_num_of_loops:                     12000
% 36.20/36.35  % res_forward_subset_subsumed:          20914
% 36.20/36.35  % res_backward_subset_subsumed:         1303
% 36.20/36.35  % res_forward_subsumed:                 2708
% 36.20/36.35  % res_backward_subsumed:                44
% 36.20/36.35  % res_forward_subsumption_resolution:   143
% 36.20/36.35  % res_backward_subsumption_resolution:  0
% 36.20/36.35  % res_clause_to_clause_subsumption:     6235130
% 36.20/36.35  % res_orphan_elimination:               0
% 36.20/36.35  % res_tautology_del:                    5349
% 36.20/36.35  % res_num_eq_res_simplified:            0
% 36.20/36.35  % res_num_sel_changes:                  0
% 36.20/36.35  % res_moves_from_active_to_pass:        0
% 36.20/36.35  
% 36.20/36.35  % Status Unsatisfiable
% 36.20/36.35  % SZS status Unsatisfiable
% 36.20/36.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------