TSTP Solution File: HEN011-4 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n018.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 : Sat Jul 16 12:55:27 EDT 2022

% Result   : Unsatisfiable 86.64s 86.95s
% Output   : CNFRefutation 86.64s
% 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(property_of_inversion,axiom,
    divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X),
    input ).

fof(property_of_inversion_0,plain,
    ! [X] :
      ( divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X)
      | $false ),
    inference(orientation,[status(thm)],[property_of_inversion]) ).

cnf(one_inversion_equals_three,axiom,
    divide(identity,divide(identity,divide(identity,X))) = divide(identity,X),
    input ).

fof(one_inversion_equals_three_0,plain,
    ! [X] :
      ( divide(identity,divide(identity,divide(identity,X))) = divide(identity,X)
      | $false ),
    inference(orientation,[status(thm)],[one_inversion_equals_three]) ).

cnf(x_divide_zero_is_x,axiom,
    divide(a,zero) = a,
    input ).

fof(x_divide_zero_is_x_0,plain,
    ( divide(a,zero) = a
    | $false ),
    inference(orientation,[status(thm)],[x_divide_zero_is_x]) ).

cnf(x_divide_x_is_zero,axiom,
    divide(X,X) = zero,
    input ).

fof(x_divide_x_is_zero_0,plain,
    ! [X] :
      ( divide(X,X) = zero
      | $false ),
    inference(orientation,[status(thm)],[x_divide_x_is_zero]) ).

cnf(zero_divide_anything_is_zero,axiom,
    divide(zero,X) = zero,
    input ).

fof(zero_divide_anything_is_zero_0,plain,
    ! [X] :
      ( divide(zero,X) = zero
      | $false ),
    inference(orientation,[status(thm)],[zero_divide_anything_is_zero]) ).

cnf(everything_divide_id_is_zero,axiom,
    divide(X,identity) = zero,
    input ).

fof(everything_divide_id_is_zero_0,plain,
    ! [X] :
      ( divide(X,identity) = zero
      | $false ),
    inference(orientation,[status(thm)],[everything_divide_id_is_zero]) ).

cnf(identity_is_largest,axiom,
    less_equal(X,identity),
    input ).

fof(identity_is_largest_0,plain,
    ! [X] :
      ( less_equal(X,identity)
      | $false ),
    inference(orientation,[status(thm)],[identity_is_largest]) ).

cnf(zero_is_smallest,axiom,
    less_equal(zero,X),
    input ).

fof(zero_is_smallest_0,plain,
    ! [X] :
      ( less_equal(zero,X)
      | $false ),
    inference(orientation,[status(thm)],[zero_is_smallest]) ).

cnf(quotient_property,axiom,
    less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)),
    input ).

fof(quotient_property_0,plain,
    ! [X,Y,Z] :
      ( less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z))
      | $false ),
    inference(orientation,[status(thm)],[quotient_property]) ).

cnf(quotient_smaller_than_numerator,axiom,
    less_equal(divide(X,Y),X),
    input ).

fof(quotient_smaller_than_numerator_0,plain,
    ! [X,Y] :
      ( less_equal(divide(X,Y),X)
      | $false ),
    inference(orientation,[status(thm)],[quotient_smaller_than_numerator]) ).

fof(def_lhs_atom1,axiom,
    ! [Y,X] :
      ( lhs_atom1(Y,X)
    <=> less_equal(divide(X,Y),X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [X,Y] :
      ( lhs_atom1(Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[quotient_smaller_than_numerator_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [Z,Y,X] :
      ( lhs_atom2(Z,Y,X)
    <=> less_equal(divide(divide(X,Z),divide(Y,Z)),divide(divide(X,Y),Z)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [X,Y,Z] :
      ( lhs_atom2(Z,Y,X)
      | $false ),
    inference(fold_definition,[status(thm)],[quotient_property_0,def_lhs_atom2]) ).

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

fof(to_be_clausified_2,plain,
    ! [X] :
      ( lhs_atom3(X)
      | $false ),
    inference(fold_definition,[status(thm)],[zero_is_smallest_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [X] :
      ( lhs_atom4(X)
    <=> less_equal(X,identity) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [X] :
      ( lhs_atom4(X)
      | $false ),
    inference(fold_definition,[status(thm)],[identity_is_largest_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ! [X] :
      ( lhs_atom5(X)
    <=> divide(X,identity) = zero ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ! [X] :
      ( lhs_atom5(X)
      | $false ),
    inference(fold_definition,[status(thm)],[everything_divide_id_is_zero_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [X] :
      ( lhs_atom6(X)
    <=> divide(zero,X) = zero ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [X] :
      ( lhs_atom6(X)
      | $false ),
    inference(fold_definition,[status(thm)],[zero_divide_anything_is_zero_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [X] :
      ( lhs_atom7(X)
    <=> divide(X,X) = zero ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [X] :
      ( lhs_atom7(X)
      | $false ),
    inference(fold_definition,[status(thm)],[x_divide_x_is_zero_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> divide(a,zero) = a ),
    inference(definition,[],]) ).

fof(to_be_clausified_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[x_divide_zero_is_x_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ! [X] :
      ( lhs_atom9(X)
    <=> divide(identity,divide(identity,divide(identity,X))) = divide(identity,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_8,plain,
    ! [X] :
      ( lhs_atom9(X)
      | $false ),
    inference(fold_definition,[status(thm)],[one_inversion_equals_three_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [X] :
      ( lhs_atom10(X)
    <=> divide(divide(identity,X),divide(identity,divide(identity,X))) = divide(identity,X) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [X] :
      ( lhs_atom10(X)
      | $false ),
    inference(fold_definition,[status(thm)],[property_of_inversion_0,def_lhs_atom10]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X1,X2] :
      ( lhs_atom2(X3,X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_2,axiom,
    ! [X2] :
      ( lhs_atom10(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_3,axiom,
    ! [X2] :
      ( lhs_atom9(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_4,axiom,
    ! [X2] :
      ( lhs_atom7(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_5,axiom,
    ! [X2] :
      ( lhs_atom6(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_6,axiom,
    ! [X2] :
      ( lhs_atom5(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_7,axiom,
    ! [X2] :
      ( lhs_atom4(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_8,axiom,
    ! [X2] :
      ( lhs_atom3(X2)
      | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_9,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_10,plain,
    ! [X3,X1,X2] : lhs_atom2(X3,X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_11,plain,
    ! [X1,X2] : lhs_atom1(X1,X2),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_12,plain,
    ! [X2] : lhs_atom10(X2),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_13,plain,
    ! [X2] : lhs_atom9(X2),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_14,plain,
    ! [X2] : lhs_atom7(X2),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_15,plain,
    ! [X2] : lhs_atom6(X2),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_16,plain,
    ! [X2] : lhs_atom5(X2),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_17,plain,
    ! [X2] : lhs_atom4(X2),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_18,plain,
    ! [X2] : lhs_atom3(X2),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_19,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_20,plain,
    ! [X4,X5,X6] : lhs_atom2(X4,X5,X6),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_21,plain,
    ! [X3,X4] : lhs_atom1(X3,X4),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_22,plain,
    ! [X3] : lhs_atom10(X3),
    inference(variable_rename,[status(thm)],[c_0_12]) ).

fof(c_0_23,plain,
    ! [X3] : lhs_atom9(X3),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

fof(c_0_24,plain,
    ! [X3] : lhs_atom7(X3),
    inference(variable_rename,[status(thm)],[c_0_14]) ).

fof(c_0_25,plain,
    ! [X3] : lhs_atom6(X3),
    inference(variable_rename,[status(thm)],[c_0_15]) ).

fof(c_0_26,plain,
    ! [X3] : lhs_atom5(X3),
    inference(variable_rename,[status(thm)],[c_0_16]) ).

fof(c_0_27,plain,
    ! [X3] : lhs_atom4(X3),
    inference(variable_rename,[status(thm)],[c_0_17]) ).

fof(c_0_28,plain,
    ! [X3] : lhs_atom3(X3),
    inference(variable_rename,[status(thm)],[c_0_18]) ).

fof(c_0_29,plain,
    lhs_atom8,
    c_0_19 ).

cnf(c_0_30,plain,
    lhs_atom2(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_31,plain,
    lhs_atom1(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_32,plain,
    lhs_atom10(X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_33,plain,
    lhs_atom9(X1),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_34,plain,
    lhs_atom7(X1),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_35,plain,
    lhs_atom6(X1),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_36,plain,
    lhs_atom5(X1),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_37,plain,
    lhs_atom4(X1),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_38,plain,
    lhs_atom3(X1),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_39,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_40,plain,
    lhs_atom2(X1,X2,X3),
    c_0_30,
    [final] ).

cnf(c_0_41,plain,
    lhs_atom1(X1,X2),
    c_0_31,
    [final] ).

cnf(c_0_42,plain,
    lhs_atom10(X1),
    c_0_32,
    [final] ).

cnf(c_0_43,plain,
    lhs_atom9(X1),
    c_0_33,
    [final] ).

cnf(c_0_44,plain,
    lhs_atom7(X1),
    c_0_34,
    [final] ).

cnf(c_0_45,plain,
    lhs_atom6(X1),
    c_0_35,
    [final] ).

cnf(c_0_46,plain,
    lhs_atom5(X1),
    c_0_36,
    [final] ).

cnf(c_0_47,plain,
    lhs_atom4(X1),
    c_0_37,
    [final] ).

cnf(c_0_48,plain,
    lhs_atom3(X1),
    c_0_38,
    [final] ).

cnf(c_0_49,plain,
    lhs_atom8,
    c_0_39,
    [final] ).

% End CNF derivation
cnf(c_0_40_0,axiom,
    less_equal(divide(divide(X3,X1),divide(X2,X1)),divide(divide(X3,X2),X1)),
    inference(unfold_definition,[status(thm)],[c_0_40,def_lhs_atom2]) ).

cnf(c_0_41_0,axiom,
    less_equal(divide(X2,X1),X2),
    inference(unfold_definition,[status(thm)],[c_0_41,def_lhs_atom1]) ).

cnf(c_0_42_0,axiom,
    divide(divide(identity,X1),divide(identity,divide(identity,X1))) = divide(identity,X1),
    inference(unfold_definition,[status(thm)],[c_0_42,def_lhs_atom10]) ).

cnf(c_0_43_0,axiom,
    divide(identity,divide(identity,divide(identity,X1))) = divide(identity,X1),
    inference(unfold_definition,[status(thm)],[c_0_43,def_lhs_atom9]) ).

cnf(c_0_44_0,axiom,
    divide(X1,X1) = zero,
    inference(unfold_definition,[status(thm)],[c_0_44,def_lhs_atom7]) ).

cnf(c_0_45_0,axiom,
    divide(zero,X1) = zero,
    inference(unfold_definition,[status(thm)],[c_0_45,def_lhs_atom6]) ).

cnf(c_0_46_0,axiom,
    divide(X1,identity) = zero,
    inference(unfold_definition,[status(thm)],[c_0_46,def_lhs_atom5]) ).

cnf(c_0_47_0,axiom,
    less_equal(X1,identity),
    inference(unfold_definition,[status(thm)],[c_0_47,def_lhs_atom4]) ).

cnf(c_0_48_0,axiom,
    less_equal(zero,X1),
    inference(unfold_definition,[status(thm)],[c_0_48,def_lhs_atom3]) ).

cnf(c_0_49_0,axiom,
    divide(a,zero) = a,
    inference(unfold_definition,[status(thm)],[c_0_49,def_lhs_atom8]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X1,X2,X3] :
      ( ~ less_equal(divide(X3,X2),X1)
      | less_equal(divide(X3,X1),X2) ),
    file('<stdin>',property_of_divide1) ).

fof(c_0_1_002,axiom,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | less_equal(divide(X1,X2),divide(X1,X3)) ),
    file('<stdin>',property_of_divide2) ).

fof(c_0_2_003,axiom,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | less_equal(divide(X3,X1),divide(X2,X1)) ),
    file('<stdin>',property_of_divide3) ).

fof(c_0_3_004,axiom,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | ~ less_equal(X2,X1)
      | less_equal(X3,X1) ),
    file('<stdin>',transitivity_of_less_equal) ).

fof(c_0_4_005,axiom,
    ! [X2,X3] :
      ( ~ less_equal(X3,X2)
      | ~ less_equal(X2,X3)
      | X3 = X2 ),
    file('<stdin>',less_equal_and_equal) ).

fof(c_0_5_006,axiom,
    ! [X2,X3] :
      ( ~ less_equal(X3,X2)
      | divide(X3,X2) = zero ),
    file('<stdin>',quotient_less_equal1) ).

fof(c_0_6_007,axiom,
    ! [X2,X3] :
      ( divide(X3,X2) != zero
      | less_equal(X3,X2) ),
    file('<stdin>',quotient_less_equal2) ).

fof(c_0_7_008,plain,
    ! [X1,X2,X3] :
      ( ~ less_equal(divide(X3,X2),X1)
      | less_equal(divide(X3,X1),X2) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_8_009,plain,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | less_equal(divide(X1,X2),divide(X1,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_9_010,plain,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | less_equal(divide(X3,X1),divide(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_10_011,plain,
    ! [X1,X2,X3] :
      ( ~ less_equal(X3,X2)
      | ~ less_equal(X2,X1)
      | less_equal(X3,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_11_012,plain,
    ! [X2,X3] :
      ( ~ less_equal(X3,X2)
      | ~ less_equal(X2,X3)
      | X3 = X2 ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_12_013,plain,
    ! [X2,X3] :
      ( ~ less_equal(X3,X2)
      | divide(X3,X2) = zero ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_13_014,axiom,
    ! [X2,X3] :
      ( divide(X3,X2) != zero
      | less_equal(X3,X2) ),
    c_0_6 ).

fof(c_0_14_015,plain,
    ! [X4,X5,X6] :
      ( ~ less_equal(divide(X6,X5),X4)
      | less_equal(divide(X6,X4),X5) ),
    inference(variable_rename,[status(thm)],[c_0_7]) ).

fof(c_0_15_016,plain,
    ! [X4,X5,X6] :
      ( ~ less_equal(X6,X5)
      | less_equal(divide(X4,X5),divide(X4,X6)) ),
    inference(variable_rename,[status(thm)],[c_0_8]) ).

fof(c_0_16_017,plain,
    ! [X4,X5,X6] :
      ( ~ less_equal(X6,X5)
      | less_equal(divide(X6,X4),divide(X5,X4)) ),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

fof(c_0_17_018,plain,
    ! [X4,X5,X6] :
      ( ~ less_equal(X6,X5)
      | ~ less_equal(X5,X4)
      | less_equal(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_18_019,plain,
    ! [X4,X5] :
      ( ~ less_equal(X5,X4)
      | ~ less_equal(X4,X5)
      | X5 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

fof(c_0_19_020,plain,
    ! [X4,X5] :
      ( ~ less_equal(X5,X4)
      | divide(X5,X4) = zero ),
    inference(variable_rename,[status(thm)],[c_0_12]) ).

fof(c_0_20_021,plain,
    ! [X4,X5] :
      ( divide(X5,X4) != zero
      | less_equal(X5,X4) ),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

cnf(c_0_21_022,plain,
    ( less_equal(divide(X1,X2),X3)
    | ~ less_equal(divide(X1,X3),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22_023,plain,
    ( less_equal(divide(X1,X2),divide(X1,X3))
    | ~ less_equal(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23_024,plain,
    ( less_equal(divide(X1,X2),divide(X3,X2))
    | ~ less_equal(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24_025,plain,
    ( less_equal(X1,X2)
    | ~ less_equal(X3,X2)
    | ~ less_equal(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_25_026,plain,
    ( X1 = X2
    | ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_26_027,plain,
    ( divide(X1,X2) = zero
    | ~ less_equal(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_27_028,plain,
    ( less_equal(X1,X2)
    | divide(X1,X2) != zero ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_28_029,plain,
    ( less_equal(divide(X1,X2),X3)
    | ~ less_equal(divide(X1,X3),X2) ),
    c_0_21,
    [final] ).

cnf(c_0_29_030,plain,
    ( less_equal(divide(X1,X2),divide(X1,X3))
    | ~ less_equal(X3,X2) ),
    c_0_22,
    [final] ).

cnf(c_0_30_031,plain,
    ( less_equal(divide(X1,X2),divide(X3,X2))
    | ~ less_equal(X1,X3) ),
    c_0_23,
    [final] ).

cnf(c_0_31_032,plain,
    ( less_equal(X1,X2)
    | ~ less_equal(X3,X2)
    | ~ less_equal(X1,X3) ),
    c_0_24,
    [final] ).

cnf(c_0_32_033,plain,
    ( X1 = X2
    | ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2) ),
    c_0_25,
    [final] ).

cnf(c_0_33_034,plain,
    ( divide(X1,X2) = zero
    | ~ less_equal(X1,X2) ),
    c_0_26,
    [final] ).

cnf(c_0_34_035,plain,
    ( less_equal(X1,X2)
    | divide(X1,X2) != zero ),
    c_0_27,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_28_0,axiom,
    ( less_equal(divide(X1,X2),X3)
    | ~ less_equal(divide(X1,X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_28_1,axiom,
    ( ~ less_equal(divide(X1,X3),X2)
    | less_equal(divide(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_29_0,axiom,
    ( less_equal(divide(X1,X2),divide(X1,X3))
    | ~ less_equal(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_29]) ).

cnf(c_0_29_1,axiom,
    ( ~ less_equal(X3,X2)
    | less_equal(divide(X1,X2),divide(X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_29]) ).

cnf(c_0_30_0,axiom,
    ( less_equal(divide(X1,X2),divide(X3,X2))
    | ~ less_equal(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_30_1,axiom,
    ( ~ less_equal(X1,X3)
    | less_equal(divide(X1,X2),divide(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_31_0,axiom,
    ( less_equal(X1,X2)
    | ~ less_equal(X3,X2)
    | ~ less_equal(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_31_1,axiom,
    ( ~ less_equal(X3,X2)
    | less_equal(X1,X2)
    | ~ less_equal(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_31_2,axiom,
    ( ~ less_equal(X1,X3)
    | ~ less_equal(X3,X2)
    | less_equal(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_32_0,axiom,
    ( X1 = X2
    | ~ less_equal(X2,X1)
    | ~ less_equal(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_1,axiom,
    ( ~ less_equal(X2,X1)
    | X1 = X2
    | ~ less_equal(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_2,axiom,
    ( ~ less_equal(X1,X2)
    | ~ less_equal(X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_33_0,axiom,
    ( divide(X1,X2) = zero
    | ~ less_equal(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_1,axiom,
    ( ~ less_equal(X1,X2)
    | divide(X1,X2) = zero ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_34_0,axiom,
    ( less_equal(X1,X2)
    | divide(X1,X2) != zero ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_1,axiom,
    ( divide(X1,X2) != zero
    | less_equal(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_036,negated_conjecture,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    file('<stdin>',prove_this) ).

fof(c_0_1_037,negated_conjecture,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    c_0_0 ).

fof(c_0_2_038,negated_conjecture,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    c_0_1 ).

cnf(c_0_3_039,negated_conjecture,
    divide(divide(identity,a),divide(identity,divide(identity,b))) != divide(divide(identity,b),divide(identity,divide(identity,a))),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_040,negated_conjecture,
    divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,a),divide(identity,divide(identity,b))),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_25,plain,
    less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_40_0) ).

cnf(c_637024,plain,
    less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_684284,plain,
    less_equal(divide(divide(identity,b),divide(X0,b)),divide(divide(identity,X0),b)),
    inference(instantiation,[status(thm)],[c_637024]) ).

cnf(c_747439,plain,
    less_equal(divide(divide(identity,b),divide(divide(identity,a),b)),divide(divide(identity,divide(identity,a)),b)),
    inference(instantiation,[status(thm)],[c_684284]) ).

cnf(c_24,plain,
    less_equal(divide(X0,X1),X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_41_0) ).

cnf(c_217214,plain,
    less_equal(divide(X0,X1),X0),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_218819,plain,
    less_equal(divide(divide(X0,X1),X2),divide(X0,X1)),
    inference(instantiation,[status(thm)],[c_217214]) ).

cnf(c_244105,plain,
    less_equal(divide(divide(identity,divide(identity,a)),X0),divide(identity,divide(identity,a))),
    inference(instantiation,[status(thm)],[c_218819]) ).

cnf(c_626950,plain,
    less_equal(divide(divide(identity,divide(identity,a)),b),divide(identity,divide(identity,a))),
    inference(instantiation,[status(thm)],[c_244105]) ).

cnf(c_8,plain,
    ( less_equal(X0,X1)
    | ~ less_equal(X2,X1)
    | ~ less_equal(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_31_2) ).

cnf(c_217198,plain,
    ( less_equal(X0,X1)
    | ~ less_equal(X2,X1)
    | ~ less_equal(X0,X2) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_217631,plain,
    ( less_equal(X0,divide(X1,X2))
    | ~ less_equal(X3,divide(X1,X2))
    | ~ less_equal(X0,X3) ),
    inference(instantiation,[status(thm)],[c_217198]) ).

cnf(c_218818,plain,
    ( ~ less_equal(divide(divide(X0,X1),X2),divide(X0,X1))
    | ~ less_equal(X3,divide(divide(X0,X1),X2))
    | less_equal(X3,divide(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_217631]) ).

cnf(c_244708,plain,
    ( ~ less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1))
    | less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(X0,X2))
    | ~ less_equal(divide(divide(X0,X2),X1),divide(X0,X2)) ),
    inference(instantiation,[status(thm)],[c_218818]) ).

cnf(c_435923,plain,
    ( ~ less_equal(divide(divide(identity,divide(identity,a)),b),divide(identity,divide(identity,a)))
    | ~ less_equal(divide(divide(identity,b),divide(divide(identity,a),b)),divide(divide(identity,divide(identity,a)),b))
    | less_equal(divide(divide(identity,b),divide(divide(identity,a),b)),divide(identity,divide(identity,a))) ),
    inference(instantiation,[status(thm)],[c_244708]) ).

cnf(c_2,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X2,X1),divide(X2,X0)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_29_0) ).

cnf(c_217192,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X2,X1),divide(X2,X0)) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_230497,plain,
    ( less_equal(divide(divide(identity,a),X0),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | ~ less_equal(divide(identity,divide(identity,b)),X0) ),
    inference(instantiation,[status(thm)],[c_217192]) ).

cnf(c_435889,plain,
    ( less_equal(divide(divide(identity,a),b),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | ~ less_equal(divide(identity,divide(identity,b)),b) ),
    inference(instantiation,[status(thm)],[c_230497]) ).

cnf(c_0,plain,
    ( ~ less_equal(divide(X0,X1),X2)
    | less_equal(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_28_0) ).

cnf(c_217190,plain,
    ( ~ less_equal(divide(X0,X1),X2)
    | less_equal(divide(X0,X2),X1) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_217629,plain,
    ( ~ less_equal(divide(X0,divide(X1,X2)),X3)
    | less_equal(divide(X0,X3),divide(X1,X2)) ),
    inference(instantiation,[status(thm)],[c_217190]) ).

cnf(c_231344,plain,
    ( ~ less_equal(divide(X0,divide(X1,b)),X2)
    | less_equal(divide(X0,X2),divide(X1,b)) ),
    inference(instantiation,[status(thm)],[c_217629]) ).

cnf(c_300617,plain,
    ( less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(X0,b))
    | ~ less_equal(divide(divide(identity,b),divide(X0,b)),divide(identity,divide(identity,a))) ),
    inference(instantiation,[status(thm)],[c_231344]) ).

cnf(c_385827,plain,
    ( ~ less_equal(divide(divide(identity,b),divide(divide(identity,a),b)),divide(identity,divide(identity,a)))
    | less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),b)) ),
    inference(instantiation,[status(thm)],[c_300617]) ).

cnf(c_218810,plain,
    ( ~ less_equal(divide(X0,X1),divide(X0,X2))
    | less_equal(X3,divide(X0,X2))
    | ~ less_equal(X3,divide(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_217631]) ).

cnf(c_231903,plain,
    ( ~ less_equal(divide(X0,X1),divide(X0,X2))
    | less_equal(divide(X3,X4),divide(X0,X2))
    | ~ less_equal(divide(X3,X4),divide(X0,X1)) ),
    inference(instantiation,[status(thm)],[c_218810]) ).

cnf(c_359461,plain,
    ( ~ less_equal(divide(divide(identity,a),X0),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),X0)) ),
    inference(instantiation,[status(thm)],[c_231903]) ).

cnf(c_385826,plain,
    ( ~ less_equal(divide(divide(identity,a),b),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),b)) ),
    inference(instantiation,[status(thm)],[c_359461]) ).

cnf(c_217278,plain,
    ( less_equal(X0,divide(identity,divide(identity,b)))
    | ~ less_equal(X1,divide(identity,divide(identity,b)))
    | ~ less_equal(X0,X1) ),
    inference(instantiation,[status(thm)],[c_217198]) ).

cnf(c_217586,plain,
    ( ~ less_equal(divide(divide(identity,divide(identity,b)),X0),divide(identity,divide(identity,b)))
    | ~ less_equal(X1,divide(divide(identity,divide(identity,b)),X0))
    | less_equal(X1,divide(identity,divide(identity,b))) ),
    inference(instantiation,[status(thm)],[c_217278]) ).

cnf(c_218517,plain,
    ( ~ less_equal(divide(divide(identity,divide(identity,b)),X0),divide(identity,divide(identity,b)))
    | ~ less_equal(divide(X1,X2),divide(divide(identity,divide(identity,b)),X0))
    | less_equal(divide(X1,X2),divide(identity,divide(identity,b))) ),
    inference(instantiation,[status(thm)],[c_217586]) ).

cnf(c_247166,plain,
    ( ~ less_equal(divide(divide(identity,divide(identity,b)),X0),divide(identity,divide(identity,b)))
    | ~ less_equal(divide(divide(identity,a),divide(X1,X2)),divide(divide(identity,divide(identity,b)),X0))
    | less_equal(divide(divide(identity,a),divide(X1,X2)),divide(identity,divide(identity,b))) ),
    inference(instantiation,[status(thm)],[c_218517]) ).

cnf(c_285972,plain,
    ( ~ less_equal(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b)))
    | ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a))
    | less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(identity,divide(identity,b))) ),
    inference(instantiation,[status(thm)],[c_247166]) ).

cnf(c_217215,plain,
    less_equal(divide(divide(X0,X1),divide(X2,X1)),divide(divide(X0,X2),X1)),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_266720,plain,
    less_equal(divide(divide(identity,a),divide(X0,a)),divide(divide(identity,X0),a)),
    inference(instantiation,[status(thm)],[c_217215]) ).

cnf(c_285971,plain,
    less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(divide(identity,divide(identity,b)),a)),
    inference(instantiation,[status(thm)],[c_266720]) ).

cnf(c_1,plain,
    ( less_equal(divide(X0,X1),X2)
    | ~ less_equal(divide(X0,X2),X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_28_1) ).

cnf(c_45,plain,
    ( less_equal(divide(X0,X1),X2)
    | ~ less_equal(divide(X0,X2),X1) ),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_13751,plain,
    ( ~ less_equal(divide(X0,divide(divide(identity,b),X1)),X2)
    | less_equal(divide(X0,X2),divide(divide(identity,b),X1)) ),
    inference(instantiation,[status(thm)],[c_45]) ).

cnf(c_30430,plain,
    ( ~ less_equal(divide(X0,divide(divide(identity,b),X1)),divide(identity,divide(identity,b)))
    | less_equal(divide(X0,divide(identity,divide(identity,b))),divide(divide(identity,b),X1)) ),
    inference(instantiation,[status(thm)],[c_13751]) ).

cnf(c_151604,plain,
    ( ~ less_equal(divide(divide(identity,a),divide(divide(identity,b),a)),divide(identity,divide(identity,b)))
    | less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),a)) ),
    inference(instantiation,[status(thm)],[c_30430]) ).

cnf(c_44,plain,
    ( ~ less_equal(divide(X0,X1),X2)
    | less_equal(divide(X0,X2),X1) ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_27835,plain,
    ( less_equal(divide(X0,divide(identity,b)),X1)
    | ~ less_equal(divide(X0,X1),divide(identity,b)) ),
    inference(instantiation,[status(thm)],[c_44]) ).

cnf(c_109749,plain,
    ( less_equal(divide(X0,divide(identity,b)),b)
    | ~ less_equal(divide(X0,b),divide(identity,b)) ),
    inference(instantiation,[status(thm)],[c_27835]) ).

cnf(c_109751,plain,
    ( less_equal(divide(identity,divide(identity,b)),b)
    | ~ less_equal(divide(identity,b),divide(identity,b)) ),
    inference(instantiation,[status(thm)],[c_109749]) ).

cnf(c_52,plain,
    ( less_equal(X0,X1)
    | ~ less_equal(X2,X1)
    | ~ less_equal(X0,X2) ),
    inference(copy,[status(esa)],[c_8]) ).

cnf(c_12617,plain,
    ( less_equal(X0,divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(X1,divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(X0,X1) ),
    inference(instantiation,[status(thm)],[c_52]) ).

cnf(c_12816,plain,
    ( ~ less_equal(divide(divide(identity,b),X0),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | less_equal(X1,divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(X1,divide(divide(identity,b),X0)) ),
    inference(instantiation,[status(thm)],[c_12617]) ).

cnf(c_13750,plain,
    ( ~ less_equal(divide(divide(identity,b),X0),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | less_equal(divide(X1,X2),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(divide(X1,X2),divide(divide(identity,b),X0)) ),
    inference(instantiation,[status(thm)],[c_12816]) ).

cnf(c_32414,plain,
    ( less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),X0))
    | ~ less_equal(divide(divide(identity,b),X0),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
    inference(instantiation,[status(thm)],[c_13750]) ).

cnf(c_84813,plain,
    ( less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),a))
    | ~ less_equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a)))) ),
    inference(instantiation,[status(thm)],[c_32414]) ).

cnf(c_68,plain,
    less_equal(divide(X0,X1),X0),
    inference(copy,[status(esa)],[c_24]) ).

cnf(c_13318,plain,
    less_equal(divide(divide(identity,divide(identity,b)),X0),divide(identity,divide(identity,b))),
    inference(instantiation,[status(thm)],[c_68]) ).

cnf(c_71643,plain,
    less_equal(divide(divide(identity,divide(identity,b)),a),divide(identity,divide(identity,b))),
    inference(instantiation,[status(thm)],[c_13318]) ).

cnf(c_3,plain,
    ( less_equal(divide(X0,X1),divide(X0,X2))
    | ~ less_equal(X2,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_29_1) ).

cnf(c_47,plain,
    ( less_equal(divide(X0,X1),divide(X0,X2))
    | ~ less_equal(X2,X1) ),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_29109,plain,
    ( less_equal(divide(divide(identity,b),a),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(divide(identity,divide(identity,a)),a) ),
    inference(instantiation,[status(thm)],[c_47]) ).

cnf(c_21,plain,
    divide(X0,X0) = zero,
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_44_0) ).

cnf(c_65,plain,
    divide(X0,X0) = zero,
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_14415,plain,
    divide(divide(identity,b),divide(identity,b)) = zero,
    inference(instantiation,[status(thm)],[c_65]) ).

cnf(c_15,plain,
    ( less_equal(X0,X1)
    | divide(X0,X1) != zero ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_34_1) ).

cnf(c_59,plain,
    ( less_equal(X0,X1)
    | divide(X0,X1) != zero ),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_13205,plain,
    ( less_equal(X0,divide(identity,b))
    | divide(X0,divide(identity,b)) != zero ),
    inference(instantiation,[status(thm)],[c_59]) ).

cnf(c_14414,plain,
    ( less_equal(divide(identity,b),divide(identity,b))
    | divide(divide(identity,b),divide(identity,b)) != zero ),
    inference(instantiation,[status(thm)],[c_13205]) ).

cnf(c_13175,plain,
    ( less_equal(divide(identity,divide(identity,a)),X0)
    | ~ less_equal(divide(identity,X0),divide(identity,a)) ),
    inference(instantiation,[status(thm)],[c_44]) ).

cnf(c_14324,plain,
    ( less_equal(divide(identity,divide(identity,a)),a)
    | ~ less_equal(divide(identity,a),divide(identity,a)) ),
    inference(instantiation,[status(thm)],[c_13175]) ).

cnf(c_4,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X0,X2),divide(X1,X2)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_30_0) ).

cnf(c_48,plain,
    ( ~ less_equal(X0,X1)
    | less_equal(divide(X0,X2),divide(X1,X2)) ),
    inference(copy,[status(esa)],[c_4]) ).

cnf(c_12729,plain,
    ( less_equal(divide(identity,a),divide(X0,a))
    | ~ less_equal(identity,X0) ),
    inference(instantiation,[status(thm)],[c_48]) ).

cnf(c_12730,plain,
    ( less_equal(divide(identity,a),divide(identity,a))
    | ~ less_equal(identity,identity) ),
    inference(instantiation,[status(thm)],[c_12729]) ).

cnf(c_9,plain,
    ( ~ less_equal(X0,X1)
    | ~ less_equal(X1,X0)
    | X0 = X1 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_32_0) ).

cnf(c_53,plain,
    ( ~ less_equal(X0,X1)
    | ~ less_equal(X1,X0)
    | X0 = X1 ),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_12547,plain,
    ( ~ less_equal(divide(divide(identity,a),divide(identity,divide(identity,b))),divide(divide(identity,b),divide(identity,divide(identity,a))))
    | ~ less_equal(divide(divide(identity,b),divide(identity,divide(identity,a))),divide(divide(identity,a),divide(identity,divide(identity,b))))
    | divide(divide(identity,b),divide(identity,divide(identity,a))) = divide(divide(identity,a),divide(identity,divide(identity,b))) ),
    inference(instantiation,[status(thm)],[c_53]) ).

cnf(c_18,plain,
    less_equal(X0,identity),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_47_0) ).

cnf(c_33,plain,
    less_equal(identity,identity),
    inference(instantiation,[status(thm)],[c_18]) ).

cnf(c_26,negated_conjecture,
    divide(divide(identity,b),divide(identity,divide(identity,a))) != divide(divide(identity,a),divide(identity,divide(identity,b))),
    file('/export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p',c_0_4) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_747439,c_626950,c_435923,c_435889,c_385827,c_385826,c_285972,c_285971,c_151604,c_109751,c_84813,c_71643,c_29109,c_14415,c_14414,c_14324,c_12730,c_12547,c_33,c_26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : HEN011-4 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Fri Jul  1 14:13:32 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Running in mono-core mode
% 0.20/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40  % Orientation found
% 0.20/0.40  % 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_2e859a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_5be0cf.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_dd3791 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.35/0.67  % --bmc1_dump_unsat_core_tptp           false
% 0.35/0.67  % --bmc1_dump_file                      -
% 0.35/0.67  % --bmc1_ucm_expand_uc_limit            128
% 0.35/0.67  % --bmc1_ucm_n_expand_iterations        6
% 0.35/0.67  % --bmc1_ucm_extend_mode                1
% 0.35/0.67  % --bmc1_ucm_init_mode                  2
% 0.35/0.67  % --bmc1_ucm_cone_mode                  none
% 0.35/0.67  % --bmc1_ucm_reduced_relation_type      0
% 0.35/0.67  % --bmc1_ucm_relax_model                4
% 0.35/0.67  % --bmc1_ucm_full_tr_after_sat          true
% 0.35/0.67  % --bmc1_ucm_expand_neg_assumptions     false
% 0.35/0.67  % --bmc1_ucm_layered_model              none
% 0.35/0.67  % --bmc1_ucm_max_lemma_size             10
% 0.35/0.67  
% 0.35/0.67  % ------ AIG Options
% 0.35/0.67  
% 0.35/0.67  % --aig_mode                            false
% 0.35/0.67  
% 0.35/0.67  % ------ Instantiation Options
% 0.35/0.67  
% 0.35/0.67  % --instantiation_flag                  true
% 0.35/0.67  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.67  % --inst_solver_per_active              750
% 0.35/0.67  % --inst_solver_calls_frac              0.5
% 0.35/0.67  % --inst_passive_queue_type             priority_queues
% 0.35/0.67  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.67  % --inst_passive_queues_freq            [25;2]
% 0.35/0.67  % --inst_dismatching                    true
% 0.35/0.67  % --inst_eager_unprocessed_to_passive   true
% 0.35/0.67  % --inst_prop_sim_given                 true
% 0.35/0.67  % --inst_prop_sim_new                   false
% 0.35/0.67  % --inst_orphan_elimination             true
% 0.35/0.67  % --inst_learning_loop_flag             true
% 0.35/0.67  % --inst_learning_start                 3000
% 0.35/0.67  % --inst_learning_factor                2
% 0.35/0.67  % --inst_start_prop_sim_after_learn     3
% 0.35/0.67  % --inst_sel_renew                      solver
% 0.35/0.67  % --inst_lit_activity_flag              true
% 0.35/0.67  % --inst_out_proof                      true
% 0.35/0.67  
% 0.35/0.67  % ------ Resolution Options
% 0.35/0.67  
% 0.35/0.67  % --resolution_flag                     true
% 0.35/0.67  % --res_lit_sel                         kbo_max
% 0.35/0.67  % --res_to_prop_solver                  none
% 0.35/0.67  % --res_prop_simpl_new                  false
% 0.35/0.67  % --res_prop_simpl_given                false
% 0.35/0.67  % --res_passive_queue_type              priority_queues
% 0.35/0.67  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.35/0.67  % --res_passive_queues_freq             [15;5]
% 0.35/0.67  % --res_forward_subs                    full
% 0.35/0.67  % --res_backward_subs                   full
% 0.35/0.67  % --res_forward_subs_resolution         true
% 0.35/0.67  % --res_backward_subs_resolution        true
% 0.35/0.67  % --res_orphan_elimination              false
% 0.35/0.67  % --res_time_limit                      1000.
% 0.35/0.67  % --res_out_proof                       true
% 0.35/0.67  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_2e859a.s
% 0.35/0.67  % --modulo                              true
% 0.35/0.67  
% 0.35/0.67  % ------ Combination Options
% 0.35/0.67  
% 0.35/0.67  % --comb_res_mult                       1000
% 0.35/0.67  % --comb_inst_mult                      300
% 0.35/0.67  % ------ 
% 0.35/0.67  
% 0.35/0.67  % ------ Parsing...% successful
% 0.35/0.67  
% 0.35/0.67  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.35/0.67  
% 0.35/0.67  % ------ Proving...
% 0.35/0.67  % ------ Problem Properties 
% 0.35/0.67  
% 0.35/0.67  % 
% 0.35/0.67  % EPR                                   false
% 0.35/0.67  % Horn                                  true
% 0.35/0.67  % Has equality                          true
% 0.35/0.67  
% 0.35/0.67  % % ------ Input Options Time Limit: Unbounded
% 0.35/0.67  
% 0.35/0.67  
% 0.35/0.67  Compiling...
% 0.35/0.67  Loading plugin: done.
% 0.35/0.67  Compiling...
% 0.35/0.67  Loading plugin: done.
% 0.35/0.67  % % ------ Current options:
% 0.35/0.67  
% 0.35/0.67  % ------ Input Options
% 0.35/0.67  
% 0.35/0.67  % --out_options                         all
% 0.35/0.67  % --tptp_safe_out                       true
% 0.35/0.67  % --problem_path                        ""
% 0.35/0.67  % --include_path                        ""
% 0.35/0.67  % --clausifier                          .//eprover
% 0.35/0.67  % --clausifier_options                  --tstp-format  
% 0.35/0.67  % --stdin                               false
% 0.35/0.67  % --dbg_backtrace                       false
% 0.35/0.67  % --dbg_dump_prop_clauses               false
% 0.35/0.67  % --dbg_dump_prop_clauses_file          -
% 0.35/0.67  % --dbg_out_stat                        false
% 0.35/0.67  
% 0.35/0.67  % ------ General Options
% 0.35/0.67  
% 0.35/0.67  % --fof                                 false
% 0.35/0.67  % --time_out_real                       150.
% 0.35/0.67  % --time_out_prep_mult                  0.2
% 0.35/0.67  % --time_out_virtual                    -1.
% 0.35/0.67  % --schedule                            none
% 0.35/0.67  % --ground_splitting                    input
% 0.35/0.67  % --splitting_nvd                       16
% 0.35/0.67  % --non_eq_to_eq                        false
% 0.35/0.67  % --prep_gs_sim                         true
% 0.35/0.67  % --prep_unflatten                      false
% 0.35/0.67  % --prep_res_sim                        true
% 0.35/0.67  % --prep_upred                          true
% 0.35/0.67  % --res_sim_input                       true
% 0.35/0.67  % --clause_weak_htbl                    true
% 0.35/0.67  % --gc_record_bc_elim                   false
% 0.35/0.67  % --symbol_type_check                   false
% 0.35/0.67  % --clausify_out                        false
% 0.35/0.67  % --large_theory_mode                   false
% 0.35/0.67  % --prep_sem_filter                     none
% 0.35/0.67  % --prep_sem_filter_out                 false
% 0.35/0.67  % --preprocessed_out                    false
% 0.35/0.67  % --sub_typing                          false
% 0.35/0.67  % --brand_transform                     false
% 0.35/0.67  % --pure_diseq_elim                     true
% 0.35/0.67  % --min_unsat_core                      false
% 0.35/0.67  % --pred_elim                           true
% 0.35/0.67  % --add_important_lit                   false
% 0.35/0.67  % --soft_assumptions                    false
% 0.35/0.67  % --reset_solvers                       false
% 0.35/0.67  % --bc_imp_inh                          []
% 0.35/0.67  % --conj_cone_tolerance                 1.5
% 0.35/0.67  % --prolific_symb_bound                 500
% 0.35/0.67  % --lt_threshold                        2000
% 0.35/0.67  
% 0.35/0.67  % ------ SAT Options
% 0.35/0.67  
% 0.35/0.67  % --sat_mode                            false
% 0.35/0.67  % --sat_fm_restart_options              ""
% 0.35/0.67  % --sat_gr_def                          false
% 0.35/0.67  % --sat_epr_types                       true
% 0.35/0.67  % --sat_non_cyclic_types                false
% 0.35/0.67  % --sat_finite_models                   false
% 0.35/0.67  % --sat_fm_lemmas                       false
% 0.35/0.67  % --sat_fm_prep                         false
% 0.35/0.67  % --sat_fm_uc_incr                      true
% 0.35/0.67  % --sat_out_model                       small
% 0.35/0.67  % --sat_out_clauses                     false
% 0.35/0.67  
% 0.35/0.67  % ------ QBF Options
% 0.35/0.67  
% 0.35/0.67  % --qbf_mode                            false
% 0.35/0.67  % --qbf_elim_univ                       true
% 0.35/0.67  % --qbf_sk_in                           true
% 0.35/0.67  % --qbf_pred_elim                       true
% 0.35/0.67  % --qbf_split                           32
% 0.35/0.67  
% 0.35/0.67  % ------ BMC1 Options
% 0.35/0.67  
% 0.35/0.67  % --bmc1_incremental                    false
% 0.35/0.67  % --bmc1_axioms                         reachable_all
% 0.35/0.67  % --bmc1_min_bound                      0
% 0.35/0.67  % --bmc1_max_bound                      -1
% 0.35/0.67  % --bmc1_max_bound_default              -1
% 0.35/0.67  % --bmc1_symbol_reachability            true
% 0.35/0.67  % --bmc1_property_lemmas                false
% 0.35/0.67  % --bmc1_k_induction                    false
% 0.35/0.67  % --bmc1_non_equiv_states               false
% 0.35/0.67  % --bmc1_deadlock                       false
% 0.35/0.67  % --bmc1_ucm                            false
% 0.35/0.67  % --bmc1_add_unsat_core                 none
% 0.35/0.67  % --bmc1_unsat_core_children            false
% 0.35/0.67  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.35/0.67  % --bmc1_out_stat                       full
% 0.35/0.67  % --bmc1_ground_init                    false
% 0.35/0.67  % --bmc1_pre_inst_next_state            false
% 0.35/0.67  % --bmc1_pre_inst_state                 false
% 0.35/0.67  % --bmc1_pre_inst_reach_state           false
% 0.35/0.67  % --bmc1_out_unsat_core                 false
% 0.35/0.67  % --bmc1_aig_witness_out                false
% 0.35/0.67  % --bmc1_verbose                        false
% 0.35/0.67  % --bmc1_dump_clauses_tptp              false
% 0.35/0.67  % --bmc1_dump_unsat_core_tptp           false
% 0.35/0.67  % --bmc1_dump_file                      -
% 0.35/0.67  % --bmc1_ucm_expand_uc_limit            128
% 0.35/0.67  % --bmc1_ucm_n_expand_iterations        6
% 0.35/0.67  % --bmc1_ucm_extend_mode                1
% 0.35/0.67  % --bmc1_ucm_init_mode                  2
% 0.35/0.67  % --bmc1_ucm_cone_mode                  none
% 0.35/0.67  % --bmc1_ucm_reduced_relation_type      0
% 0.35/0.67  % --bmc1_ucm_relax_model                4
% 0.35/0.67  % --bmc1_ucm_full_tr_after_sat          true
% 0.35/0.67  % --bmc1_ucm_expand_neg_assumptions     false
% 0.35/0.67  % --bmc1_ucm_layered_model              none
% 0.35/0.67  % --bmc1_ucm_max_lemma_size             10
% 0.35/0.67  
% 0.35/0.67  % ------ AIG Options
% 0.35/0.67  
% 0.35/0.67  % --aig_mode                            false
% 0.35/0.67  
% 0.35/0.67  % ------ Instantiation Options
% 0.35/0.67  
% 0.35/0.67  % --instantiation_flag                  true
% 0.35/0.67  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.67  % --inst_solver_per_active              750
% 0.35/0.67  % --inst_solver_calls_frac              0.5
% 0.35/0.67  % --inst_passive_queue_type             priority_queues
% 0.35/0.67  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.67  % --inst_passive_queues_freq            [25;2]
% 0.35/0.67  % --inst_dismatching                    true
% 86.64/86.95  % --inst_eager_unprocessed_to_passive   true
% 86.64/86.95  % --inst_prop_sim_given                 true
% 86.64/86.95  % --inst_prop_sim_new                   false
% 86.64/86.95  % --inst_orphan_elimination             true
% 86.64/86.95  % --inst_learning_loop_flag             true
% 86.64/86.95  % --inst_learning_start                 3000
% 86.64/86.95  % --inst_learning_factor                2
% 86.64/86.95  % --inst_start_prop_sim_after_learn     3
% 86.64/86.95  % --inst_sel_renew                      solver
% 86.64/86.95  % --inst_lit_activity_flag              true
% 86.64/86.95  % --inst_out_proof                      true
% 86.64/86.95  
% 86.64/86.95  % ------ Resolution Options
% 86.64/86.95  
% 86.64/86.95  % --resolution_flag                     true
% 86.64/86.95  % --res_lit_sel                         kbo_max
% 86.64/86.95  % --res_to_prop_solver                  none
% 86.64/86.95  % --res_prop_simpl_new                  false
% 86.64/86.95  % --res_prop_simpl_given                false
% 86.64/86.95  % --res_passive_queue_type              priority_queues
% 86.64/86.95  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 86.64/86.95  % --res_passive_queues_freq             [15;5]
% 86.64/86.95  % --res_forward_subs                    full
% 86.64/86.95  % --res_backward_subs                   full
% 86.64/86.95  % --res_forward_subs_resolution         true
% 86.64/86.95  % --res_backward_subs_resolution        true
% 86.64/86.95  % --res_orphan_elimination              false
% 86.64/86.95  % --res_time_limit                      1000.
% 86.64/86.95  % --res_out_proof                       true
% 86.64/86.95  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_2e859a.s
% 86.64/86.95  % --modulo                              true
% 86.64/86.95  
% 86.64/86.95  % ------ Combination Options
% 86.64/86.95  
% 86.64/86.95  % --comb_res_mult                       1000
% 86.64/86.95  % --comb_inst_mult                      300
% 86.64/86.95  % ------ 
% 86.64/86.95  
% 86.64/86.95  
% 86.64/86.95  
% 86.64/86.95  % ------ Proving...
% 86.64/86.95  % 
% 86.64/86.95  
% 86.64/86.95  
% 86.64/86.95  % ------                             Statistics
% 86.64/86.95  
% 86.64/86.95  % ------ General
% 86.64/86.95  
% 86.64/86.95  % num_of_input_clauses:                 27
% 86.64/86.95  % num_of_input_neg_conjectures:         1
% 86.64/86.95  % num_of_splits:                        0
% 86.64/86.95  % num_of_split_atoms:                   0
% 86.64/86.95  % num_of_sem_filtered_clauses:          0
% 86.64/86.95  % num_of_subtypes:                      0
% 86.64/86.95  % monotx_restored_types:                0
% 86.64/86.95  % sat_num_of_epr_types:                 0
% 86.64/86.95  % sat_num_of_non_cyclic_types:          0
% 86.64/86.95  % sat_guarded_non_collapsed_types:      0
% 86.64/86.95  % is_epr:                               0
% 86.64/86.95  % is_horn:                              1
% 86.64/86.95  % has_eq:                               1
% 86.64/86.95  % num_pure_diseq_elim:                  0
% 86.64/86.95  % simp_replaced_by:                     0
% 86.64/86.95  % res_preprocessed:                     2
% 86.64/86.95  % prep_upred:                           0
% 86.64/86.95  % prep_unflattend:                      0
% 86.64/86.95  % pred_elim_cands:                      0
% 86.64/86.95  % pred_elim:                            0
% 86.64/86.95  % pred_elim_cl:                         0
% 86.64/86.95  % pred_elim_cycles:                     0
% 86.64/86.95  % forced_gc_time:                       0
% 86.64/86.95  % gc_basic_clause_elim:                 0
% 86.64/86.95  % parsing_time:                         0.001
% 86.64/86.95  % sem_filter_time:                      0.
% 86.64/86.95  % pred_elim_time:                       0.
% 86.64/86.95  % out_proof_time:                       0.006
% 86.64/86.95  % monotx_time:                          0.
% 86.64/86.95  % subtype_inf_time:                     0.
% 86.64/86.95  % unif_index_cands_time:                0.22
% 86.64/86.95  % unif_index_add_time:                  0.111
% 86.64/86.95  % total_time:                           86.539
% 86.64/86.95  % num_of_symbols:                       31
% 86.64/86.95  % num_of_terms:                         210462
% 86.64/86.95  
% 86.64/86.95  % ------ Propositional Solver
% 86.64/86.95  
% 86.64/86.95  % prop_solver_calls:                    49
% 86.64/86.95  % prop_fast_solver_calls:               3
% 86.64/86.95  % prop_num_of_clauses:                  31434
% 86.64/86.95  % prop_preprocess_simplified:           51882
% 86.64/86.95  % prop_fo_subsumed:                     0
% 86.64/86.95  % prop_solver_time:                     0.029
% 86.64/86.95  % prop_fast_solver_time:                0.
% 86.64/86.95  % prop_unsat_core_time:                 0.004
% 86.64/86.95  
% 86.64/86.95  % ------ QBF 
% 86.64/86.95  
% 86.64/86.95  % qbf_q_res:                            0
% 86.64/86.95  % qbf_num_tautologies:                  0
% 86.64/86.95  % qbf_prep_cycles:                      0
% 86.64/86.95  
% 86.64/86.95  % ------ BMC1
% 86.64/86.95  
% 86.64/86.95  % bmc1_current_bound:                   -1
% 86.64/86.95  % bmc1_last_solved_bound:               -1
% 86.64/86.95  % bmc1_unsat_core_size:                 -1
% 86.64/86.95  % bmc1_unsat_core_parents_size:         -1
% 86.64/86.95  % bmc1_merge_next_fun:                  0
% 86.64/86.95  % bmc1_unsat_core_clauses_time:         0.
% 86.64/86.95  
% 86.64/86.95  % ------ Instantiation
% 86.64/86.95  
% 86.64/86.95  % inst_num_of_clauses:                  4522
% 86.64/86.95  % inst_num_in_passive:                  2632
% 86.64/86.95  % inst_num_in_active:                   1773
% 86.64/86.95  % inst_num_in_unprocessed:              9
% 86.64/86.95  % inst_num_of_loops:                    1909
% 86.64/86.95  % inst_num_of_learning_restarts:        2
% 86.64/86.95  % inst_num_moves_active_passive:        25
% 86.64/86.95  % inst_lit_activity:                    753
% 86.64/86.95  % inst_lit_activity_moves:              0
% 86.64/86.95  % inst_num_tautologies:                 106
% 86.64/86.95  % inst_num_prop_implied:                0
% 86.64/86.95  % inst_num_existing_simplified:         0
% 86.64/86.95  % inst_num_eq_res_simplified:           0
% 86.64/86.95  % inst_num_child_elim:                  0
% 86.64/86.95  % inst_num_of_dismatching_blockings:    18170
% 86.64/86.95  % inst_num_of_non_proper_insts:         21000
% 86.64/86.95  % inst_num_of_duplicates:               9092
% 86.64/86.95  % inst_inst_num_from_inst_to_res:       0
% 86.64/86.95  % inst_dismatching_checking_time:       0.531
% 86.64/86.95  
% 86.64/86.95  % ------ Resolution
% 86.64/86.95  
% 86.64/86.95  % res_num_of_clauses:                   90071
% 86.64/86.95  % res_num_in_passive:                   65002
% 86.64/86.95  % res_num_in_active:                    25533
% 86.64/86.95  % res_num_of_loops:                     37000
% 86.64/86.95  % res_forward_subset_subsumed:          34482
% 86.64/86.95  % res_backward_subset_subsumed:         1137
% 86.64/86.95  % res_forward_subsumed:                 10857
% 86.64/86.95  % res_backward_subsumed:                227
% 86.64/86.95  % res_forward_subsumption_resolution:   1714
% 86.64/86.95  % res_backward_subsumption_resolution:  0
% 86.64/86.95  % res_clause_to_clause_subsumption:     9442589
% 86.64/86.95  % res_orphan_elimination:               0
% 86.64/86.95  % res_tautology_del:                    0
% 86.64/86.95  % res_num_eq_res_simplified:            0
% 86.64/86.95  % res_num_sel_changes:                  0
% 86.64/86.95  % res_moves_from_active_to_pass:        0
% 86.64/86.95  
% 86.64/86.95  % Status Unsatisfiable
% 86.64/86.95  % SZS status Unsatisfiable
% 86.64/86.95  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------