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

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : CAT001-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n025.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 : Fri Jul 15 00:01:26 EDT 2022

% Result   : Unsatisfiable 178.31s 178.56s
% Output   : CNFRefutation 178.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   40
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  290 ( 107 unt;   0 def)
%            Number of atoms       :  657 (  34 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  745 ( 378   ~; 367   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  592 (  28 sgn 165   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X3,X5,X1,X6,X4,X2] :
      ( ~ product(X1,X3,X5)
      | ~ product(X2,X5,X6)
      | ~ product(X2,X1,X4)
      | product(X4,X3,X6) ),
    file('<stdin>',category_theory_axiom5) ).

fof(c_0_1,axiom,
    ! [X3,X5,X1,X6,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ product(X4,X3,X6)
      | ~ product(X1,X3,X5)
      | product(X2,X5,X6) ),
    file('<stdin>',category_theory_axiom2) ).

fof(c_0_2,axiom,
    ! [X3,X5,X1,X4,X2] :
      ( ~ product(X1,X3,X5)
      | ~ product(X2,X1,X4)
      | ~ defined(X2,X5)
      | defined(X4,X3) ),
    file('<stdin>',category_theory_axiom4) ).

fof(c_0_3,axiom,
    ! [X3,X5,X1,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ product(X1,X3,X5)
      | ~ defined(X4,X3)
      | defined(X2,X5) ),
    file('<stdin>',category_theory_axiom1) ).

fof(c_0_4,axiom,
    ! [X3,X1,X2,X7] :
      ( ~ product(X2,X1,X3)
      | ~ product(X2,X1,X7)
      | X3 = X7 ),
    file('<stdin>',composition_is_well_defined) ).

fof(c_0_5,axiom,
    ! [X3,X5,X1,X2] :
      ( ~ product(X1,X3,X5)
      | ~ defined(X2,X5)
      | defined(X2,X1) ),
    file('<stdin>',category_theory_axiom3) ).

fof(c_0_6,axiom,
    ! [X3,X1,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ defined(X4,X3)
      | defined(X1,X3) ),
    file('<stdin>',associative_property2) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( ~ defined(X2,X1)
      | product(X2,X1,compose(X2,X1)) ),
    file('<stdin>',closure_of_composition) ).

fof(c_0_8,axiom,
    ! [X3,X1,X2] :
      ( ~ product(X2,X1,X3)
      | defined(X2,X1) ),
    file('<stdin>',associative_property1) ).

fof(c_0_9,axiom,
    ! [X1,X2] :
      ( ~ defined(X2,X1)
      | ~ identity_map(X1)
      | product(X2,X1,X2) ),
    file('<stdin>',identity2) ).

fof(c_0_10,axiom,
    ! [X1,X2] :
      ( ~ defined(X2,X1)
      | ~ identity_map(X2)
      | product(X2,X1,X1) ),
    file('<stdin>',identity1) ).

fof(c_0_11,axiom,
    ! [X3,X1,X2] :
      ( ~ defined(X2,X1)
      | ~ defined(X1,X3)
      | ~ identity_map(X1)
      | defined(X2,X3) ),
    file('<stdin>',category_theory_axiom6) ).

fof(c_0_12,axiom,
    ! [X2] : product(codomain(X2),X2,X2),
    file('<stdin>',product_on_codomain) ).

fof(c_0_13,axiom,
    ! [X2] : product(X2,domain(X2),X2),
    file('<stdin>',product_on_domain) ).

fof(c_0_14,axiom,
    ! [X2] : defined(codomain(X2),X2),
    file('<stdin>',mapping_from_codomain_of_x_to_x) ).

fof(c_0_15,axiom,
    ! [X2] : defined(X2,domain(X2)),
    file('<stdin>',mapping_from_x_to_its_domain) ).

fof(c_0_16,axiom,
    ! [X2] : identity_map(codomain(X2)),
    file('<stdin>',codomain_is_an_identity_map) ).

fof(c_0_17,axiom,
    ! [X2] : identity_map(domain(X2)),
    file('<stdin>',domain_is_an_identity_map) ).

fof(c_0_18,plain,
    ! [X3,X5,X1,X6,X4,X2] :
      ( ~ product(X1,X3,X5)
      | ~ product(X2,X5,X6)
      | ~ product(X2,X1,X4)
      | product(X4,X3,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_19,plain,
    ! [X3,X5,X1,X6,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ product(X4,X3,X6)
      | ~ product(X1,X3,X5)
      | product(X2,X5,X6) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_20,plain,
    ! [X3,X5,X1,X4,X2] :
      ( ~ product(X1,X3,X5)
      | ~ product(X2,X1,X4)
      | ~ defined(X2,X5)
      | defined(X4,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_21,plain,
    ! [X3,X5,X1,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ product(X1,X3,X5)
      | ~ defined(X4,X3)
      | defined(X2,X5) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_22,plain,
    ! [X3,X1,X2,X7] :
      ( ~ product(X2,X1,X3)
      | ~ product(X2,X1,X7)
      | X3 = X7 ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_23,plain,
    ! [X3,X5,X1,X2] :
      ( ~ product(X1,X3,X5)
      | ~ defined(X2,X5)
      | defined(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_24,plain,
    ! [X3,X1,X4,X2] :
      ( ~ product(X2,X1,X4)
      | ~ defined(X4,X3)
      | defined(X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_25,plain,
    ! [X1,X2] :
      ( ~ defined(X2,X1)
      | product(X2,X1,compose(X2,X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_26,plain,
    ! [X3,X1,X2] :
      ( ~ product(X2,X1,X3)
      | defined(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_27,plain,
    ! [X1,X2] :
      ( ~ defined(X2,X1)
      | ~ identity_map(X1)
      | product(X2,X1,X2) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

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

fof(c_0_29,plain,
    ! [X3,X1,X2] :
      ( ~ defined(X2,X1)
      | ~ defined(X1,X3)
      | ~ identity_map(X1)
      | defined(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_30,axiom,
    ! [X2] : product(codomain(X2),X2,X2),
    c_0_12 ).

fof(c_0_31,axiom,
    ! [X2] : product(X2,domain(X2),X2),
    c_0_13 ).

fof(c_0_32,axiom,
    ! [X2] : defined(codomain(X2),X2),
    c_0_14 ).

fof(c_0_33,axiom,
    ! [X2] : defined(X2,domain(X2)),
    c_0_15 ).

fof(c_0_34,axiom,
    ! [X2] : identity_map(codomain(X2)),
    c_0_16 ).

fof(c_0_35,axiom,
    ! [X2] : identity_map(domain(X2)),
    c_0_17 ).

fof(c_0_36,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ product(X9,X7,X8)
      | ~ product(X12,X8,X10)
      | ~ product(X12,X9,X11)
      | product(X11,X7,X10) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_18])])]) ).

fof(c_0_37,plain,
    ! [X7,X8,X9,X10,X11,X12] :
      ( ~ product(X12,X9,X11)
      | ~ product(X11,X7,X10)
      | ~ product(X9,X7,X8)
      | product(X12,X8,X10) ),
    inference(variable_rename,[status(thm)],[c_0_19]) ).

fof(c_0_38,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ product(X8,X6,X7)
      | ~ product(X10,X8,X9)
      | ~ defined(X10,X7)
      | defined(X9,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_20])])]) ).

fof(c_0_39,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ~ product(X10,X8,X9)
      | ~ product(X8,X6,X7)
      | ~ defined(X9,X6)
      | defined(X10,X7) ),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

fof(c_0_40,plain,
    ! [X8,X9,X10,X11] :
      ( ~ product(X10,X9,X8)
      | ~ product(X10,X9,X11)
      | X8 = X11 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_22])])]) ).

fof(c_0_41,plain,
    ! [X6,X7,X8,X9] :
      ( ~ product(X8,X6,X7)
      | ~ defined(X9,X7)
      | defined(X9,X8) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_23])])]) ).

fof(c_0_42,plain,
    ! [X5,X6,X7,X8] :
      ( ~ product(X8,X6,X7)
      | ~ defined(X7,X5)
      | defined(X6,X5) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_24])])]) ).

fof(c_0_43,plain,
    ! [X3,X4] :
      ( ~ defined(X4,X3)
      | product(X4,X3,compose(X4,X3)) ),
    inference(variable_rename,[status(thm)],[c_0_25]) ).

fof(c_0_44,plain,
    ! [X4,X5,X6] :
      ( ~ product(X6,X5,X4)
      | defined(X6,X5) ),
    inference(variable_rename,[status(thm)],[c_0_26]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ~ defined(X4,X3)
      | ~ identity_map(X3)
      | product(X4,X3,X4) ),
    inference(variable_rename,[status(thm)],[c_0_27]) ).

fof(c_0_46,plain,
    ! [X3,X4] :
      ( ~ defined(X4,X3)
      | ~ identity_map(X4)
      | product(X4,X3,X3) ),
    inference(variable_rename,[status(thm)],[c_0_28]) ).

fof(c_0_47,plain,
    ! [X4,X5,X6] :
      ( ~ defined(X6,X5)
      | ~ defined(X5,X4)
      | ~ identity_map(X5)
      | defined(X6,X4) ),
    inference(variable_rename,[status(thm)],[c_0_29]) ).

fof(c_0_48,plain,
    ! [X3] : product(codomain(X3),X3,X3),
    inference(variable_rename,[status(thm)],[c_0_30]) ).

fof(c_0_49,plain,
    ! [X3] : product(X3,domain(X3),X3),
    inference(variable_rename,[status(thm)],[c_0_31]) ).

fof(c_0_50,plain,
    ! [X3] : defined(codomain(X3),X3),
    inference(variable_rename,[status(thm)],[c_0_32]) ).

fof(c_0_51,plain,
    ! [X3] : defined(X3,domain(X3)),
    inference(variable_rename,[status(thm)],[c_0_33]) ).

fof(c_0_52,plain,
    ! [X3] : identity_map(codomain(X3)),
    inference(variable_rename,[status(thm)],[c_0_34]) ).

fof(c_0_53,plain,
    ! [X3] : identity_map(domain(X3)),
    inference(variable_rename,[status(thm)],[c_0_35]) ).

cnf(c_0_54,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_55,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X6,X5,X3)
    | ~ product(X1,X4,X6) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_56,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X3,X5,X1)
    | ~ product(X5,X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

cnf(c_0_57,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X5,X4,X2)
    | ~ product(X1,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_58,plain,
    ( X1 = X2
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_59,plain,
    ( defined(X1,X2)
    | ~ defined(X1,X3)
    | ~ product(X2,X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_60,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X2)
    | ~ product(X4,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_61,plain,
    ( product(X1,X2,compose(X1,X2))
    | ~ defined(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_62,plain,
    ( defined(X1,X2)
    | ~ product(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_63,plain,
    ( product(X1,X2,X1)
    | ~ identity_map(X2)
    | ~ defined(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_64,plain,
    ( product(X1,X2,X2)
    | ~ identity_map(X1)
    | ~ defined(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_65,plain,
    ( defined(X1,X2)
    | ~ identity_map(X3)
    | ~ defined(X3,X2)
    | ~ defined(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_66,plain,
    product(codomain(X1),X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_67,plain,
    product(X1,domain(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_68,plain,
    defined(codomain(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_69,plain,
    defined(X1,domain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_70,plain,
    identity_map(codomain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_71,plain,
    identity_map(domain(X1)),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_72,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6) ),
    c_0_54,
    [final] ).

cnf(c_0_73,plain,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X6,X5,X3)
    | ~ product(X1,X4,X6) ),
    c_0_55,
    [final] ).

cnf(c_0_74,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X3,X5,X1)
    | ~ product(X5,X2,X4) ),
    c_0_56,
    [final] ).

cnf(c_0_75,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X5,X4,X2)
    | ~ product(X1,X5,X3) ),
    c_0_57,
    [final] ).

cnf(c_0_76,plain,
    ( X1 = X2
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    c_0_58,
    [final] ).

cnf(c_0_77,plain,
    ( defined(X1,X2)
    | ~ defined(X1,X3)
    | ~ product(X2,X4,X3) ),
    c_0_59,
    [final] ).

cnf(c_0_78,plain,
    ( defined(X1,X2)
    | ~ defined(X3,X2)
    | ~ product(X4,X1,X3) ),
    c_0_60,
    [final] ).

cnf(c_0_79,plain,
    ( product(X1,X2,compose(X1,X2))
    | ~ defined(X1,X2) ),
    c_0_61,
    [final] ).

cnf(c_0_80,plain,
    ( defined(X1,X2)
    | ~ product(X1,X2,X3) ),
    c_0_62,
    [final] ).

cnf(c_0_81,plain,
    ( product(X1,X2,X1)
    | ~ identity_map(X2)
    | ~ defined(X1,X2) ),
    c_0_63,
    [final] ).

cnf(c_0_82,plain,
    ( product(X1,X2,X2)
    | ~ identity_map(X1)
    | ~ defined(X1,X2) ),
    c_0_64,
    [final] ).

cnf(c_0_83,plain,
    ( defined(X1,X2)
    | ~ identity_map(X3)
    | ~ defined(X3,X2)
    | ~ defined(X1,X3) ),
    c_0_65,
    [final] ).

cnf(c_0_84,plain,
    product(codomain(X1),X1,X1),
    c_0_66,
    [final] ).

cnf(c_0_85,plain,
    product(X1,domain(X1),X1),
    c_0_67,
    [final] ).

cnf(c_0_86,plain,
    defined(codomain(X1),X1),
    c_0_68,
    [final] ).

cnf(c_0_87,plain,
    defined(X1,domain(X1)),
    c_0_69,
    [final] ).

cnf(c_0_88,plain,
    identity_map(codomain(X1)),
    c_0_70,
    [final] ).

cnf(c_0_89,plain,
    identity_map(domain(X1)),
    c_0_71,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_72_0,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X1)
    | ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_1,axiom,
    ( ~ product(X4,X5,X1)
    | product(X1,X2,X3)
    | ~ product(X4,X6,X3)
    | ~ product(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_2,axiom,
    ( ~ product(X4,X6,X3)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3)
    | ~ product(X5,X2,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_3,axiom,
    ( ~ product(X5,X2,X6)
    | ~ product(X4,X6,X3)
    | ~ product(X4,X5,X1)
    | product(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_73_0,axiom,
    ( product(X1,X2,X3)
    | ~ product(X4,X5,X2)
    | ~ product(X6,X5,X3)
    | ~ product(X1,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_1,axiom,
    ( ~ product(X4,X5,X2)
    | product(X1,X2,X3)
    | ~ product(X6,X5,X3)
    | ~ product(X1,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_2,axiom,
    ( ~ product(X6,X5,X3)
    | ~ product(X4,X5,X2)
    | product(X1,X2,X3)
    | ~ product(X1,X4,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_73_3,axiom,
    ( ~ product(X1,X4,X6)
    | ~ product(X6,X5,X3)
    | ~ product(X4,X5,X2)
    | product(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_73]) ).

cnf(c_0_74_0,axiom,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X3,X5,X1)
    | ~ product(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_1,axiom,
    ( ~ defined(X3,X4)
    | defined(X1,X2)
    | ~ product(X3,X5,X1)
    | ~ product(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_2,axiom,
    ( ~ product(X3,X5,X1)
    | ~ defined(X3,X4)
    | defined(X1,X2)
    | ~ product(X5,X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_3,axiom,
    ( ~ product(X5,X2,X4)
    | ~ product(X3,X5,X1)
    | ~ defined(X3,X4)
    | defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_75_0,axiom,
    ( defined(X1,X2)
    | ~ defined(X3,X4)
    | ~ product(X5,X4,X2)
    | ~ product(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_1,axiom,
    ( ~ defined(X3,X4)
    | defined(X1,X2)
    | ~ product(X5,X4,X2)
    | ~ product(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_2,axiom,
    ( ~ product(X5,X4,X2)
    | ~ defined(X3,X4)
    | defined(X1,X2)
    | ~ product(X1,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_75_3,axiom,
    ( ~ product(X1,X5,X3)
    | ~ product(X5,X4,X2)
    | ~ defined(X3,X4)
    | defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

cnf(c_0_76_0,axiom,
    ( X1 = X2
    | ~ product(X3,X4,X2)
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_1,axiom,
    ( ~ product(X3,X4,X2)
    | X1 = X2
    | ~ product(X3,X4,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_76_2,axiom,
    ( ~ product(X3,X4,X1)
    | ~ product(X3,X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_76]) ).

cnf(c_0_77_0,axiom,
    ( defined(X1,X2)
    | ~ defined(X1,X3)
    | ~ product(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_1,axiom,
    ( ~ defined(X1,X3)
    | defined(X1,X2)
    | ~ product(X2,X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_77_2,axiom,
    ( ~ product(X2,X4,X3)
    | ~ defined(X1,X3)
    | defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_77]) ).

cnf(c_0_78_0,axiom,
    ( defined(X1,X2)
    | ~ defined(X3,X2)
    | ~ product(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( ~ defined(X3,X2)
    | defined(X1,X2)
    | ~ product(X4,X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_2,axiom,
    ( ~ product(X4,X1,X3)
    | ~ defined(X3,X2)
    | defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_79_0,axiom,
    ( product(X1,X2,compose(X1,X2))
    | ~ defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

cnf(c_0_79_1,axiom,
    ( ~ defined(X1,X2)
    | product(X1,X2,compose(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_79]) ).

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

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

cnf(c_0_81_0,axiom,
    ( product(X1,X2,X1)
    | ~ identity_map(X2)
    | ~ defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_1,axiom,
    ( ~ identity_map(X2)
    | product(X1,X2,X1)
    | ~ defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_2,axiom,
    ( ~ defined(X1,X2)
    | ~ identity_map(X2)
    | product(X1,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    ( product(X1,X2,X2)
    | ~ identity_map(X1)
    | ~ defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( ~ identity_map(X1)
    | product(X1,X2,X2)
    | ~ defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_2,axiom,
    ( ~ defined(X1,X2)
    | ~ identity_map(X1)
    | product(X1,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

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

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

cnf(c_0_83_2,axiom,
    ( ~ defined(X3,X2)
    | ~ identity_map(X3)
    | defined(X1,X2)
    | ~ defined(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_3,axiom,
    ( ~ defined(X1,X3)
    | ~ defined(X3,X2)
    | ~ identity_map(X3)
    | defined(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_84_0,axiom,
    product(codomain(X1),X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_85_0,axiom,
    product(X1,domain(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_85]) ).

cnf(c_0_86_0,axiom,
    defined(codomain(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_86]) ).

cnf(c_0_87_0,axiom,
    defined(X1,domain(X1)),
    inference(literals_permutation,[status(thm)],[c_0_87]) ).

cnf(c_0_88_0,axiom,
    identity_map(codomain(X1)),
    inference(literals_permutation,[status(thm)],[c_0_88]) ).

cnf(c_0_89_0,axiom,
    identity_map(domain(X1)),
    inference(literals_permutation,[status(thm)],[c_0_89]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,hypothesis,
    ! [X1,X2,X3] :
      ( ~ product(c,X3,X2)
      | ~ product(c,X1,X2)
      | X3 = X1 ),
    file('<stdin>',cancellation_for_product) ).

fof(c_0_1_002,hypothesis,
    product(b,g,d),
    file('<stdin>',bg_equals_d) ).

fof(c_0_2_003,hypothesis,
    product(b,h,d),
    file('<stdin>',bh_equals_d) ).

fof(c_0_3_004,hypothesis,
    product(a,b,c),
    file('<stdin>',ab_equals_c) ).

fof(c_0_4_005,negated_conjecture,
    h != g,
    file('<stdin>',prove_h_equals_g) ).

fof(c_0_5_006,hypothesis,
    ! [X1,X2,X3] :
      ( ~ product(c,X3,X2)
      | ~ product(c,X1,X2)
      | X3 = X1 ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_6_007,hypothesis,
    product(b,g,d),
    c_0_1 ).

fof(c_0_7_008,hypothesis,
    product(b,h,d),
    c_0_2 ).

fof(c_0_8_009,hypothesis,
    product(a,b,c),
    c_0_3 ).

fof(c_0_9_010,negated_conjecture,
    h != g,
    c_0_4 ).

fof(c_0_10_011,hypothesis,
    ! [X4,X5,X6] :
      ( ~ product(c,X6,X5)
      | ~ product(c,X4,X5)
      | X6 = X4 ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

fof(c_0_11_012,hypothesis,
    product(b,g,d),
    c_0_6 ).

fof(c_0_12_013,hypothesis,
    product(b,h,d),
    c_0_7 ).

fof(c_0_13_014,hypothesis,
    product(a,b,c),
    c_0_8 ).

fof(c_0_14_015,negated_conjecture,
    h != g,
    c_0_9 ).

cnf(c_0_15_016,hypothesis,
    ( X1 = X2
    | ~ product(c,X2,X3)
    | ~ product(c,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16_017,hypothesis,
    product(b,g,d),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17_018,hypothesis,
    product(b,h,d),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18_019,hypothesis,
    product(a,b,c),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_19_020,negated_conjecture,
    h != g,
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_20_021,hypothesis,
    ( X1 = X2
    | ~ product(c,X2,X3)
    | ~ product(c,X1,X3) ),
    c_0_15,
    [final] ).

cnf(c_0_21_022,hypothesis,
    product(b,g,d),
    c_0_16,
    [final] ).

cnf(c_0_22_023,hypothesis,
    product(b,h,d),
    c_0_17,
    [final] ).

cnf(c_0_23_024,hypothesis,
    product(a,b,c),
    c_0_18,
    [final] ).

cnf(c_0_24_025,negated_conjecture,
    g != h,
    c_0_19,
    [final] ).

% End CNF derivation

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

cnf(c_48,plain,
    product(b,h,d),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_22) ).

cnf(c_65,plain,
    product(b,h,d),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_76,plain,
    product(b,h,d),
    inference(copy,[status(esa)],[c_65]) ).

cnf(c_79,plain,
    product(b,h,d),
    inference(copy,[status(esa)],[c_76]) ).

cnf(c_83,plain,
    product(b,h,d),
    inference(copy,[status(esa)],[c_79]) ).

cnf(c_228,plain,
    product(b,h,d),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_16,plain,
    ( defined(X0,X1)
    | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_80_1) ).

cnf(c_170,plain,
    ( defined(X0,X1)
    | ~ product(X0,X1,X2) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_242,plain,
    defined(b,h),
    inference(resolution,[status(thm)],[c_228,c_170]) ).

cnf(c_243,plain,
    defined(b,h),
    inference(rewriting,[status(thm)],[c_242]) ).

cnf(c_18,plain,
    ( product(X0,X1,compose(X0,X1))
    | ~ defined(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_79_1) ).

cnf(c_174,plain,
    ( product(X0,X1,compose(X0,X1))
    | ~ defined(X0,X1) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_175,plain,
    ( ~ defined(X0,X1)
    | product(X0,X1,compose(X0,X1)) ),
    inference(rewriting,[status(thm)],[c_174]) ).

cnf(c_274,plain,
    product(b,h,compose(b,h)),
    inference(resolution,[status(thm)],[c_243,c_175]) ).

cnf(c_279,plain,
    product(b,h,compose(b,h)),
    inference(rewriting,[status(thm)],[c_274]) ).

cnf(c_23,plain,
    ( defined(X0,X1)
    | ~ defined(X0,X2)
    | ~ product(X1,X3,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_77_2) ).

cnf(c_184,plain,
    ( defined(X0,X1)
    | ~ defined(X0,X2)
    | ~ product(X1,X3,X2) ),
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_334,plain,
    ( ~ defined(X0,compose(b,h))
    | defined(X0,b) ),
    inference(resolution,[status(thm)],[c_279,c_184]) ).

cnf(c_335,plain,
    ( ~ defined(X0,compose(b,h))
    | defined(X0,b) ),
    inference(rewriting,[status(thm)],[c_334]) ).

cnf(c_3,plain,
    defined(codomain(X0),X0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_86_0) ).

cnf(c_144,plain,
    defined(codomain(X0),X0),
    inference(copy,[status(esa)],[c_3]) ).

cnf(c_734,plain,
    defined(codomain(compose(b,h)),b),
    inference(resolution,[status(thm)],[c_335,c_144]) ).

cnf(c_735,plain,
    defined(codomain(compose(b,h)),b),
    inference(rewriting,[status(thm)],[c_734]) ).

cnf(c_10,plain,
    ( product(X0,X1,X1)
    | ~ identity_map(X0)
    | ~ defined(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_82_2) ).

cnf(c_158,plain,
    ( product(X0,X1,X1)
    | ~ identity_map(X0)
    | ~ defined(X0,X1) ),
    inference(copy,[status(esa)],[c_10]) ).

cnf(c_159,plain,
    ( ~ identity_map(X0)
    | ~ defined(X0,X1)
    | product(X0,X1,X1) ),
    inference(rewriting,[status(thm)],[c_158]) ).

cnf(c_750,plain,
    ( ~ identity_map(codomain(compose(b,h)))
    | product(codomain(compose(b,h)),b,b) ),
    inference(resolution,[status(thm)],[c_735,c_159]) ).

cnf(c_751,plain,
    ( ~ identity_map(codomain(compose(b,h)))
    | product(codomain(compose(b,h)),b,b) ),
    inference(rewriting,[status(thm)],[c_750]) ).

cnf(c_1,plain,
    identity_map(codomain(X0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_88_0) ).

cnf(c_140,plain,
    identity_map(codomain(X0)),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_191338,plain,
    product(codomain(compose(b,h)),b,b),
    inference(forward_subsumption_resolution,[status(thm)],[c_751,c_140]) ).

cnf(c_191339,plain,
    product(codomain(compose(b,h)),b,b),
    inference(rewriting,[status(thm)],[c_191338]) ).

cnf(c_29,plain,
    ( defined(X0,X1)
    | ~ defined(X2,X3)
    | ~ product(X4,X3,X1)
    | ~ product(X0,X4,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_75_3) ).

cnf(c_196,plain,
    ( defined(X0,X1)
    | ~ defined(X2,X3)
    | ~ product(X4,X3,X1)
    | ~ product(X0,X4,X2) ),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_191355,plain,
    ( defined(codomain(compose(b,h)),X0)
    | ~ defined(b,X1)
    | ~ product(b,X1,X0) ),
    inference(resolution,[status(thm)],[c_191339,c_196]) ).

cnf(c_191356,plain,
    ( defined(codomain(compose(b,h)),X0)
    | ~ defined(b,X1)
    | ~ product(b,X1,X0) ),
    inference(rewriting,[status(thm)],[c_191355]) ).

cnf(c_193132,plain,
    ( defined(codomain(compose(b,h)),X0)
    | ~ product(b,X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_191356,c_170]) ).

cnf(c_193133,plain,
    ( defined(codomain(compose(b,h)),X0)
    | ~ product(b,X1,X0) ),
    inference(rewriting,[status(thm)],[c_193132]) ).

cnf(c_47,plain,
    product(b,g,d),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_21) ).

cnf(c_63,plain,
    product(b,g,d),
    inference(copy,[status(esa)],[c_47]) ).

cnf(c_75,plain,
    product(b,g,d),
    inference(copy,[status(esa)],[c_63]) ).

cnf(c_80,plain,
    product(b,g,d),
    inference(copy,[status(esa)],[c_75]) ).

cnf(c_87,plain,
    product(b,g,d),
    inference(copy,[status(esa)],[c_80]) ).

cnf(c_236,plain,
    product(b,g,d),
    inference(copy,[status(esa)],[c_87]) ).

cnf(c_193142,plain,
    defined(codomain(compose(b,h)),d),
    inference(resolution,[status(thm)],[c_193133,c_236]) ).

cnf(c_193143,plain,
    defined(codomain(compose(b,h)),d),
    inference(rewriting,[status(thm)],[c_193142]) ).

cnf(c_6,plain,
    ( defined(X0,X1)
    | ~ identity_map(X2)
    | ~ defined(X2,X1)
    | ~ defined(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_83_3) ).

cnf(c_150,plain,
    ( defined(X0,X1)
    | ~ identity_map(X2)
    | ~ defined(X2,X1)
    | ~ defined(X0,X2) ),
    inference(copy,[status(esa)],[c_6]) ).

cnf(c_151,plain,
    ( ~ identity_map(X0)
    | defined(X1,X2)
    | ~ defined(X0,X2)
    | ~ defined(X1,X0) ),
    inference(rewriting,[status(thm)],[c_150]) ).

cnf(c_193292,plain,
    ( ~ identity_map(codomain(compose(b,h)))
    | ~ defined(X0,codomain(compose(b,h)))
    | defined(X0,d) ),
    inference(resolution,[status(thm)],[c_193143,c_151]) ).

cnf(c_193293,plain,
    ( ~ identity_map(codomain(compose(b,h)))
    | ~ defined(X0,codomain(compose(b,h)))
    | defined(X0,d) ),
    inference(rewriting,[status(thm)],[c_193292]) ).

cnf(c_1493473,plain,
    ( ~ defined(X0,codomain(compose(b,h)))
    | defined(X0,d) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_193293,c_140]) ).

cnf(c_1493474,plain,
    ( ~ defined(X0,codomain(compose(b,h)))
    | defined(X0,d) ),
    inference(rewriting,[status(thm)],[c_1493473]) ).

cnf(c_191345,plain,
    ( defined(X0,codomain(compose(b,h)))
    | ~ defined(X0,b) ),
    inference(resolution,[status(thm)],[c_191339,c_184]) ).

cnf(c_191346,plain,
    ( defined(X0,codomain(compose(b,h)))
    | ~ defined(X0,b) ),
    inference(rewriting,[status(thm)],[c_191345]) ).

cnf(c_1493534,plain,
    ( ~ defined(X0,b)
    | defined(X0,d) ),
    inference(resolution,[status(thm)],[c_1493474,c_191346]) ).

cnf(c_1493535,plain,
    ( ~ defined(X0,b)
    | defined(X0,d) ),
    inference(rewriting,[status(thm)],[c_1493534]) ).

cnf(c_33,plain,
    ( defined(X0,X1)
    | ~ defined(X2,X3)
    | ~ product(X2,X4,X0)
    | ~ product(X4,X1,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_74_3) ).

cnf(c_204,plain,
    ( defined(X0,X1)
    | ~ defined(X2,X3)
    | ~ product(X2,X4,X0)
    | ~ product(X4,X1,X3) ),
    inference(copy,[status(esa)],[c_33]) ).

cnf(c_256,plain,
    ( defined(X0,h)
    | ~ defined(X1,d)
    | ~ product(X1,b,X0) ),
    inference(resolution,[status(thm)],[c_228,c_204]) ).

cnf(c_257,plain,
    ( defined(X0,h)
    | ~ defined(X1,d)
    | ~ product(X1,b,X0) ),
    inference(rewriting,[status(thm)],[c_256]) ).

cnf(c_49,plain,
    product(a,b,c),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_23) ).

cnf(c_67,plain,
    product(a,b,c),
    inference(copy,[status(esa)],[c_49]) ).

cnf(c_77,plain,
    product(a,b,c),
    inference(copy,[status(esa)],[c_67]) ).

cnf(c_78,plain,
    product(a,b,c),
    inference(copy,[status(esa)],[c_77]) ).

cnf(c_84,plain,
    product(a,b,c),
    inference(copy,[status(esa)],[c_78]) ).

cnf(c_230,plain,
    product(a,b,c),
    inference(copy,[status(esa)],[c_84]) ).

cnf(c_874,plain,
    ( defined(c,h)
    | ~ defined(a,d) ),
    inference(resolution,[status(thm)],[c_257,c_230]) ).

cnf(c_875,plain,
    ( defined(c,h)
    | ~ defined(a,d) ),
    inference(rewriting,[status(thm)],[c_874]) ).

cnf(c_1493918,plain,
    ( defined(c,h)
    | ~ defined(a,b) ),
    inference(resolution,[status(thm)],[c_1493535,c_875]) ).

cnf(c_1493919,plain,
    ( defined(c,h)
    | ~ defined(a,b) ),
    inference(rewriting,[status(thm)],[c_1493918]) ).

cnf(c_578,plain,
    defined(a,b),
    inference(resolution,[status(thm)],[c_230,c_170]) ).

cnf(c_579,plain,
    defined(a,b),
    inference(rewriting,[status(thm)],[c_578]) ).

cnf(c_1494400,plain,
    defined(c,h),
    inference(forward_subsumption_resolution,[status(thm)],[c_1493919,c_579]) ).

cnf(c_1494401,plain,
    defined(c,h),
    inference(rewriting,[status(thm)],[c_1494400]) ).

cnf(c_1494511,plain,
    product(c,h,compose(c,h)),
    inference(resolution,[status(thm)],[c_1494401,c_175]) ).

cnf(c_1494516,plain,
    product(c,h,compose(c,h)),
    inference(rewriting,[status(thm)],[c_1494511]) ).

cnf(c_45,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_20) ).

cnf(c_61,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    inference(copy,[status(esa)],[c_45]) ).

cnf(c_73,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_82,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    inference(copy,[status(esa)],[c_73]) ).

cnf(c_85,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_232,plain,
    ( ~ product(c,X0,X1)
    | ~ product(c,X2,X1)
    | X0 = X2 ),
    inference(copy,[status(esa)],[c_85]) ).

cnf(c_1495278,plain,
    ( ~ product(c,X0,compose(c,h))
    | X0 = h ),
    inference(resolution,[status(thm)],[c_1494516,c_232]) ).

cnf(c_1495279,plain,
    ( ~ product(c,X0,compose(c,h))
    | X0 = h ),
    inference(rewriting,[status(thm)],[c_1495278]) ).

cnf(c_588,plain,
    ( ~ defined(c,X0)
    | defined(a,X1)
    | ~ product(b,X0,X1) ),
    inference(resolution,[status(thm)],[c_230,c_196]) ).

cnf(c_589,plain,
    ( ~ defined(c,X0)
    | defined(a,X1)
    | ~ product(b,X0,X1) ),
    inference(rewriting,[status(thm)],[c_588]) ).

cnf(c_1156,plain,
    ( ~ defined(c,h)
    | defined(a,d) ),
    inference(resolution,[status(thm)],[c_589,c_228]) ).

cnf(c_1157,plain,
    ( ~ defined(c,h)
    | defined(a,d) ),
    inference(rewriting,[status(thm)],[c_1156]) ).

cnf(c_300,plain,
    ( defined(X0,g)
    | ~ defined(X1,d)
    | ~ product(X1,b,X0) ),
    inference(resolution,[status(thm)],[c_236,c_204]) ).

cnf(c_301,plain,
    ( defined(X0,g)
    | ~ defined(X1,d)
    | ~ product(X1,b,X0) ),
    inference(rewriting,[status(thm)],[c_300]) ).

cnf(c_1140,plain,
    ( defined(c,g)
    | ~ defined(a,d) ),
    inference(resolution,[status(thm)],[c_301,c_230]) ).

cnf(c_1141,plain,
    ( defined(c,g)
    | ~ defined(a,d) ),
    inference(rewriting,[status(thm)],[c_1140]) ).

cnf(c_1238,plain,
    ( defined(c,g)
    | ~ defined(c,h) ),
    inference(resolution,[status(thm)],[c_1157,c_1141]) ).

cnf(c_1241,plain,
    ( defined(c,g)
    | ~ defined(c,h) ),
    inference(rewriting,[status(thm)],[c_1238]) ).

cnf(c_1494456,plain,
    defined(c,g),
    inference(backward_subsumption_resolution,[status(thm)],[c_1494401,c_1241]) ).

cnf(c_1494457,plain,
    defined(c,g),
    inference(rewriting,[status(thm)],[c_1494456]) ).

cnf(c_41,plain,
    ( product(X0,X1,X2)
    | ~ product(X3,X4,X0)
    | ~ product(X3,X5,X2)
    | ~ product(X4,X1,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_72_3) ).

cnf(c_220,plain,
    ( product(X0,X1,X2)
    | ~ product(X3,X4,X0)
    | ~ product(X3,X5,X2)
    | ~ product(X4,X1,X5) ),
    inference(copy,[status(esa)],[c_41]) ).

cnf(c_310,plain,
    ( product(X0,g,X1)
    | ~ product(X2,b,X0)
    | ~ product(X2,d,X1) ),
    inference(resolution,[status(thm)],[c_236,c_220]) ).

cnf(c_311,plain,
    ( product(X0,g,X1)
    | ~ product(X2,b,X0)
    | ~ product(X2,d,X1) ),
    inference(rewriting,[status(thm)],[c_310]) ).

cnf(c_39,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X3,X4)
    | product(X0,X5,X4)
    | ~ product(X1,X3,X5) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_73_1) ).

cnf(c_216,plain,
    ( ~ product(X0,X1,X2)
    | ~ product(X2,X3,X4)
    | product(X0,X5,X4)
    | ~ product(X1,X3,X5) ),
    inference(copy,[status(esa)],[c_39]) ).

cnf(c_264,plain,
    ( ~ product(X0,h,X1)
    | ~ product(X2,b,X0)
    | product(X2,d,X1) ),
    inference(resolution,[status(thm)],[c_228,c_216]) ).

cnf(c_265,plain,
    ( ~ product(X0,h,X1)
    | ~ product(X2,b,X0)
    | product(X2,d,X1) ),
    inference(rewriting,[status(thm)],[c_264]) ).

cnf(c_1504,plain,
    ( ~ product(c,h,X0)
    | product(a,d,X0) ),
    inference(resolution,[status(thm)],[c_265,c_230]) ).

cnf(c_1505,plain,
    ( ~ product(c,h,X0)
    | product(a,d,X0) ),
    inference(rewriting,[status(thm)],[c_1504]) ).

cnf(c_1994,plain,
    ( ~ product(c,h,X0)
    | ~ product(a,b,X1)
    | product(X1,g,X0) ),
    inference(resolution,[status(thm)],[c_311,c_1505]) ).

cnf(c_1995,plain,
    ( ~ product(c,h,X0)
    | ~ product(a,b,X1)
    | product(X1,g,X0) ),
    inference(rewriting,[status(thm)],[c_1994]) ).

cnf(c_157778,plain,
    ( product(c,g,X0)
    | ~ product(c,h,X0) ),
    inference(resolution,[status(thm)],[c_1995,c_230]) ).

cnf(c_157779,plain,
    ( product(c,g,X0)
    | ~ product(c,h,X0) ),
    inference(rewriting,[status(thm)],[c_157778]) ).

cnf(c_1154,plain,
    ( ~ defined(c,g)
    | defined(a,d) ),
    inference(resolution,[status(thm)],[c_589,c_236]) ).

cnf(c_1155,plain,
    ( ~ defined(c,g)
    | defined(a,d) ),
    inference(rewriting,[status(thm)],[c_1154]) ).

cnf(c_1219,plain,
    ( ~ defined(c,g)
    | defined(c,h) ),
    inference(resolution,[status(thm)],[c_1155,c_875]) ).

cnf(c_1220,plain,
    ( ~ defined(c,g)
    | defined(c,h) ),
    inference(rewriting,[status(thm)],[c_1219]) ).

cnf(c_1246,plain,
    ( ~ defined(c,g)
    | product(c,h,compose(c,h)) ),
    inference(resolution,[status(thm)],[c_1220,c_175]) ).

cnf(c_1251,plain,
    ( ~ defined(c,g)
    | product(c,h,compose(c,h)) ),
    inference(rewriting,[status(thm)],[c_1246]) ).

cnf(c_157991,plain,
    ( ~ defined(c,g)
    | product(c,g,compose(c,h)) ),
    inference(resolution,[status(thm)],[c_157779,c_1251]) ).

cnf(c_157992,plain,
    ( ~ defined(c,g)
    | product(c,g,compose(c,h)) ),
    inference(rewriting,[status(thm)],[c_157991]) ).

cnf(c_1494565,plain,
    product(c,g,compose(c,h)),
    inference(backward_subsumption_resolution,[status(thm)],[c_1494457,c_157992]) ).

cnf(c_1494600,plain,
    product(c,g,compose(c,h)),
    inference(rewriting,[status(thm)],[c_1494565]) ).

cnf(c_1678916,plain,
    g = h,
    inference(resolution,[status(thm)],[c_1495279,c_1494600]) ).

cnf(c_1678917,plain,
    g = h,
    inference(rewriting,[status(thm)],[c_1678916]) ).

cnf(c_46,negated_conjecture,
    g != h,
    file('/export/starexec/sandbox/tmp/iprover_modulo_9e39da.p',c_0_24) ).

cnf(c_69,negated_conjecture,
    g != h,
    inference(copy,[status(esa)],[c_46]) ).

cnf(c_74,negated_conjecture,
    g != h,
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_81,negated_conjecture,
    g != h,
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_86,negated_conjecture,
    g != h,
    inference(copy,[status(esa)],[c_81]) ).

cnf(c_234,negated_conjecture,
    g != h,
    inference(copy,[status(esa)],[c_86]) ).

cnf(c_1680331,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_1678917,c_234]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : CAT001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 23:03:57 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % 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_f9ff60.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9e39da.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_42b081 | grep -v "SZS"
% 0.20/0.42  
% 0.20/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------  iProver source info 
% 0.20/0.42  
% 0.20/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42  % git: non_committed_changes: true
% 0.20/0.42  % git: last_make_outside_of_git: true
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --ground_splitting                    input
% 0.20/0.42  % --splitting_nvd                       16
% 0.20/0.42  % --non_eq_to_eq                        false
% 0.20/0.42  % --prep_gs_sim                         true
% 0.20/0.42  % --prep_unflatten                      false
% 0.20/0.42  % --prep_res_sim                        true
% 0.20/0.42  % --prep_upred                          true
% 0.20/0.42  % --res_sim_input                       true
% 0.20/0.42  % --clause_weak_htbl                    true
% 0.20/0.42  % --gc_record_bc_elim                   false
% 0.20/0.42  % --symbol_type_check                   false
% 0.20/0.42  % --clausify_out                        false
% 0.20/0.42  % --large_theory_mode                   false
% 0.20/0.42  % --prep_sem_filter                     none
% 0.20/0.42  % --prep_sem_filter_out                 false
% 0.20/0.42  % --preprocessed_out                    false
% 0.20/0.42  % --sub_typing                          false
% 0.20/0.42  % --brand_transform                     false
% 0.20/0.42  % --pure_diseq_elim                     true
% 0.20/0.42  % --min_unsat_core                      false
% 0.20/0.42  % --pred_elim                           true
% 0.20/0.42  % --add_important_lit                   false
% 0.20/0.42  % --soft_assumptions                    false
% 0.20/0.42  % --reset_solvers                       false
% 0.20/0.42  % --bc_imp_inh                          []
% 0.20/0.42  % --conj_cone_tolerance                 1.5
% 0.20/0.42  % --prolific_symb_bound                 500
% 0.20/0.42  % --lt_threshold                        2000
% 0.20/0.42  
% 0.20/0.42  % ------ SAT Options
% 0.20/0.42  
% 0.20/0.42  % --sat_mode                            false
% 0.20/0.42  % --sat_fm_restart_options              ""
% 0.20/0.42  % --sat_gr_def                          false
% 0.20/0.42  % --sat_epr_types                       true
% 0.20/0.42  % --sat_non_cyclic_types                false
% 0.20/0.42  % --sat_finite_models                   false
% 0.20/0.42  % --sat_fm_lemmas                       false
% 0.20/0.42  % --sat_fm_prep                         false
% 0.20/0.42  % --sat_fm_uc_incr                      true
% 0.20/0.42  % --sat_out_model                       small
% 0.20/0.42  % --sat_out_clauses                     false
% 0.20/0.42  
% 0.20/0.42  % ------ QBF Options
% 0.20/0.42  
% 0.20/0.42  % --qbf_mode                            false
% 0.20/0.42  % --qbf_elim_univ                       true
% 0.20/0.42  % --qbf_sk_in                           true
% 0.20/0.42  % --qbf_pred_elim                       true
% 0.20/0.42  % --qbf_split                           32
% 0.20/0.42  
% 0.20/0.42  % ------ BMC1 Options
% 0.20/0.42  
% 0.20/0.42  % --bmc1_incremental                    false
% 0.20/0.42  % --bmc1_axioms                         reachable_all
% 0.20/0.42  % --bmc1_min_bound                      0
% 0.20/0.42  % --bmc1_max_bound                      -1
% 0.20/0.42  % --bmc1_max_bound_default              -1
% 0.20/0.42  % --bmc1_symbol_reachability            true
% 0.20/0.42  % --bmc1_property_lemmas                false
% 0.20/0.42  % --bmc1_k_induction                    false
% 0.20/0.42  % --bmc1_non_equiv_states               false
% 0.20/0.42  % --bmc1_deadlock                       false
% 0.20/0.42  % --bmc1_ucm                            false
% 0.20/0.42  % --bmc1_add_unsat_core                 none
% 0.20/0.42  % --bmc1_unsat_core_children            false
% 0.20/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.42  % --bmc1_out_stat                       full
% 0.20/0.42  % --bmc1_ground_init                    false
% 0.20/0.42  % --bmc1_pre_inst_next_state            false
% 0.20/0.42  % --bmc1_pre_inst_state                 false
% 0.20/0.42  % --bmc1_pre_inst_reach_state           false
% 0.20/0.42  % --bmc1_out_unsat_core                 false
% 0.20/0.42  % --bmc1_aig_witness_out                false
% 0.20/0.42  % --bmc1_verbose                        false
% 0.20/0.42  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.20/0.43  % --inst_prop_sim_new                   false
% 0.20/0.43  % --inst_orphan_elimination             true
% 0.20/0.43  % --inst_learning_loop_flag             true
% 0.20/0.43  % --inst_learning_start                 3000
% 0.20/0.43  % --inst_learning_factor                2
% 0.20/0.43  % --inst_start_prop_sim_after_learn     3
% 0.20/0.43  % --inst_sel_renew                      solver
% 0.20/0.43  % --inst_lit_activity_flag              true
% 0.20/0.43  % --inst_out_proof                      true
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution Options
% 0.20/0.43  
% 0.20/0.43  % --resolution_flag                     true
% 0.20/0.43  % --res_lit_sel                         kbo_max
% 0.20/0.43  % --res_to_prop_solver                  none
% 0.20/0.43  % --res_prop_simpl_new                  false
% 0.20/0.43  % --res_prop_simpl_given                false
% 0.20/0.43  % --res_passive_queue_type              priority_queues
% 0.20/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43  % --res_passive_queues_freq             [15;5]
% 0.20/0.43  % --res_forward_subs                    full
% 0.20/0.43  % --res_backward_subs                   full
% 0.20/0.43  % --res_forward_subs_resolution         true
% 0.20/0.43  % --res_backward_subs_resolution        true
% 0.20/0.43  % --res_orphan_elimination              false
% 0.20/0.43  % --res_time_limit                      1000.
% 0.20/0.43  % --res_out_proof                       true
% 0.20/0.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_f9ff60.s
% 0.20/0.43  % --modulo                              true
% 0.20/0.43  
% 0.20/0.43  % ------ Combination Options
% 0.20/0.43  
% 0.20/0.43  % --comb_res_mult                       1000
% 0.20/0.43  % --comb_inst_mult                      300
% 0.20/0.43  % ------ 
% 0.20/0.43  
% 0.20/0.43  % ------ Parsing...% successful
% 0.20/0.43  
% 0.20/0.43  % ------ 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 % 
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % ------ Problem Properties 
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % EPR                                   false
% 0.20/0.43  % Horn                                  true
% 0.20/0.43  % Has equality                          true
% 0.20/0.43  
% 0.20/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % % ------ Current options:
% 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
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 150.20/150.42  % --inst_prop_sim_new                   false
% 150.20/150.42  % --inst_orphan_elimination             true
% 150.20/150.42  % --inst_learning_loop_flag             true
% 150.20/150.42  % --inst_learning_start                 3000
% 150.20/150.42  % --inst_learning_factor                2
% 150.20/150.42  % --inst_start_prop_sim_after_learn     3
% 150.20/150.42  % --inst_sel_renew                      solver
% 150.20/150.42  % --inst_lit_activity_flag              true
% 150.20/150.42  % --inst_out_proof                      true
% 150.20/150.42  
% 150.20/150.42  % ------ Resolution Options
% 150.20/150.42  
% 150.20/150.42  % --resolution_flag                     true
% 150.20/150.42  % --res_lit_sel                         kbo_max
% 150.20/150.42  % --res_to_prop_solver                  none
% 150.20/150.42  % --res_prop_simpl_new                  false
% 150.20/150.42  % --res_prop_simpl_given                false
% 150.20/150.42  % --res_passive_queue_type              priority_queues
% 150.20/150.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.20/150.42  % --res_passive_queues_freq             [15;5]
% 150.20/150.42  % --res_forward_subs                    full
% 150.20/150.42  % --res_backward_subs                   full
% 150.20/150.42  % --res_forward_subs_resolution         true
% 150.20/150.42  % --res_backward_subs_resolution        true
% 150.20/150.42  % --res_orphan_elimination              false
% 150.20/150.42  % --res_time_limit                      1000.
% 150.20/150.42  % --res_out_proof                       true
% 150.20/150.42  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_f9ff60.s
% 150.20/150.42  % --modulo                              true
% 150.20/150.42  
% 150.20/150.42  % ------ Combination Options
% 150.20/150.42  
% 150.20/150.42  % --comb_res_mult                       1000
% 150.20/150.42  % --comb_inst_mult                      300
% 150.20/150.42  % ------ 
% 150.20/150.42  
% 150.20/150.42  
% 150.20/150.42  
% 150.20/150.42  % ------ Proving...
% 150.20/150.42  % 
% 150.20/150.42  
% 150.20/150.42  
% 150.20/150.42  % Time Out Real
% 150.20/150.42  
% 150.20/150.42  % ------                             Statistics
% 150.20/150.42  
% 150.20/150.42  % ------ General
% 150.20/150.42  
% 150.20/150.42  % num_of_input_clauses:                 50
% 150.20/150.42  % num_of_input_neg_conjectures:         1
% 150.20/150.42  % num_of_splits:                        0
% 150.20/150.42  % num_of_split_atoms:                   0
% 150.20/150.42  % num_of_sem_filtered_clauses:          0
% 150.20/150.42  % num_of_subtypes:                      0
% 150.20/150.42  % monotx_restored_types:                0
% 150.20/150.42  % sat_num_of_epr_types:                 0
% 150.20/150.42  % sat_num_of_non_cyclic_types:          0
% 150.20/150.42  % sat_guarded_non_collapsed_types:      0
% 150.20/150.42  % is_epr:                               0
% 150.20/150.42  % is_horn:                              1
% 150.20/150.42  % has_eq:                               1
% 150.20/150.42  % num_pure_diseq_elim:                  0
% 150.20/150.42  % simp_replaced_by:                     0
% 150.20/150.42  % res_preprocessed:                     6
% 150.20/150.42  % prep_upred:                           0
% 150.20/150.42  % prep_unflattend:                      0
% 150.20/150.42  % pred_elim_cands:                      1
% 150.20/150.42  % pred_elim:                            0
% 150.20/150.42  % pred_elim_cl:                         0
% 150.20/150.42  % pred_elim_cycles:                     1
% 150.20/150.42  % forced_gc_time:                       0
% 150.20/150.42  % gc_basic_clause_elim:                 0
% 150.20/150.42  % parsing_time:                         0.002
% 150.20/150.42  % sem_filter_time:                      0.
% 150.20/150.42  % pred_elim_time:                       0.
% 150.20/150.42  % out_proof_time:                       0.
% 150.20/150.42  % monotx_time:                          0.
% 150.20/150.42  % subtype_inf_time:                     0.
% 150.20/150.42  % unif_index_cands_time:                0.554
% 150.20/150.42  % unif_index_add_time:                  0.121
% 150.20/150.42  % total_time:                           150.017
% 150.20/150.42  % num_of_symbols:                       37
% 150.20/150.42  % num_of_terms:                         180479
% 150.20/150.42  
% 150.20/150.42  % ------ Propositional Solver
% 150.20/150.42  
% 150.20/150.42  % prop_solver_calls:                    52
% 150.20/150.42  % prop_fast_solver_calls:               15
% 150.20/150.42  % prop_num_of_clauses:                  49051
% 150.20/150.42  % prop_preprocess_simplified:           93410
% 150.20/150.42  % prop_fo_subsumed:                     0
% 150.20/150.42  % prop_solver_time:                     0.036
% 150.20/150.42  % prop_fast_solver_time:                0.
% 150.20/150.42  % prop_unsat_core_time:                 0.
% 150.20/150.42  
% 150.20/150.42  % ------ QBF 
% 150.20/150.42  
% 150.20/150.42  % qbf_q_res:                            0
% 150.20/150.42  % qbf_num_tautologies:                  0
% 150.20/150.42  % qbf_prep_cycles:                      0
% 150.20/150.42  
% 150.20/150.42  % ------ BMC1
% 150.20/150.42  
% 150.20/150.42  % bmc1_current_bound:                   -1
% 150.20/150.42  % bmc1_last_solved_bound:               -1
% 150.20/150.42  % bmc1_unsat_core_size:                 -1
% 150.20/150.42  % bmc1_unsat_core_parents_size:         -1
% 150.20/150.42  % bmc1_merge_next_fun:                  0
% 150.20/150.42  % bmc1_unsat_core_clauses_time:         0.
% 150.20/150.42  
% 150.20/150.42  % ------ Instantiation
% 150.20/150.42  
% 150.20/150.42  % inst_num_of_clauses:                  11356
% 150.20/150.42  % inst_num_in_passive:                  8078
% 150.20/150.42  % inst_num_in_active:                   2858
% 150.20/150.42  % inst_num_in_unprocessed:              319
% 150.20/150.42  % inst_num_of_loops:                    3019
% 150.20/150.44  % inst_num_of_learning_restarts:        2
% 150.20/150.44  % inst_num_moves_active_passive:        61
% 150.20/150.44  % inst_lit_activity:                    1551
% 150.20/150.44  % inst_lit_activity_moves:              0
% 150.20/150.44  % inst_num_tautologies:                 98
% 150.20/150.44  % inst_num_prop_implied:                0
% 150.20/150.44  % inst_num_existing_simplified:         0
% 150.20/150.44  % inst_num_eq_res_simplified:           0
% 150.20/150.44  % inst_num_child_elim:                  0
% 150.20/150.44  % inst_num_of_dismatching_blockings:    27805
% 150.20/150.44  % inst_num_of_non_proper_insts:         31100
% 150.20/150.44  % inst_num_of_duplicates:               6425
% 150.20/150.44  % inst_inst_num_from_inst_to_res:       0
% 150.20/150.44  % inst_dismatching_checking_time:       0.781
% 150.20/150.44  
% 150.20/150.44  % ------ Resolution
% 150.20/150.44  
% 150.20/150.44  % res_num_of_clauses:                   2027029
% 150.20/150.44  % res_num_in_passive:                   2001842
% 150.20/150.44  % res_num_in_active:                    35213
% 150.20/150.44  % res_num_of_loops:                     41000
% 150.20/150.44  % res_forward_subset_subsumed:          158882
% 150.20/150.44  % res_backward_subset_subsumed:         10776
% 150.20/150.44  % res_forward_subsumed:                 4360
% 150.20/150.44  % res_backward_subsumed:                714
% 150.20/150.44  % res_forward_subsumption_resolution:   3223
% 150.20/150.44  % res_backward_subsumption_resolution:  29
% 150.20/150.44  % res_clause_to_clause_subsumption:     14092607
% 150.20/150.44  % res_orphan_elimination:               0
% 150.20/150.44  % res_tautology_del:                    421
% 150.20/150.44  % res_num_eq_res_simplified:            0
% 150.20/150.44  % res_num_sel_changes:                  0
% 150.20/150.44  % res_moves_from_active_to_pass:        0
% 150.20/150.44  
% 150.20/150.44  % Status Unknown
% 150.20/150.48  % Orienting using strategy ClausalAll
% 150.20/150.48  % Orientation found
% 150.20/150.48  % 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_f9ff60.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_9e39da.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_898f1a | grep -v "SZS"
% 150.29/150.49  
% 150.29/150.49  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.29/150.49  
% 150.29/150.49  % 
% 150.29/150.49  % ------  iProver source info 
% 150.29/150.49  
% 150.29/150.49  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.29/150.49  % git: non_committed_changes: true
% 150.29/150.49  % git: last_make_outside_of_git: true
% 150.29/150.49  
% 150.29/150.49  % 
% 150.29/150.49  % ------ Input Options
% 150.29/150.49  
% 150.29/150.49  % --out_options                         all
% 150.29/150.49  % --tptp_safe_out                       true
% 150.29/150.49  % --problem_path                        ""
% 150.29/150.49  % --include_path                        ""
% 150.29/150.49  % --clausifier                          .//eprover
% 150.29/150.49  % --clausifier_options                  --tstp-format  
% 150.29/150.49  % --stdin                               false
% 150.29/150.49  % --dbg_backtrace                       false
% 150.29/150.49  % --dbg_dump_prop_clauses               false
% 150.29/150.49  % --dbg_dump_prop_clauses_file          -
% 150.29/150.49  % --dbg_out_stat                        false
% 150.29/150.49  
% 150.29/150.49  % ------ General Options
% 150.29/150.49  
% 150.29/150.49  % --fof                                 false
% 150.29/150.49  % --time_out_real                       150.
% 150.29/150.49  % --time_out_prep_mult                  0.2
% 150.29/150.49  % --time_out_virtual                    -1.
% 150.29/150.49  % --schedule                            none
% 150.29/150.49  % --ground_splitting                    input
% 150.29/150.49  % --splitting_nvd                       16
% 150.29/150.49  % --non_eq_to_eq                        false
% 150.29/150.49  % --prep_gs_sim                         true
% 150.29/150.49  % --prep_unflatten                      false
% 150.29/150.49  % --prep_res_sim                        true
% 150.29/150.49  % --prep_upred                          true
% 150.29/150.49  % --res_sim_input                       true
% 150.29/150.49  % --clause_weak_htbl                    true
% 150.29/150.49  % --gc_record_bc_elim                   false
% 150.29/150.49  % --symbol_type_check                   false
% 150.29/150.49  % --clausify_out                        false
% 150.29/150.49  % --large_theory_mode                   false
% 150.29/150.49  % --prep_sem_filter                     none
% 150.29/150.49  % --prep_sem_filter_out                 false
% 150.29/150.49  % --preprocessed_out                    false
% 150.29/150.49  % --sub_typing                          false
% 150.29/150.49  % --brand_transform                     false
% 150.29/150.49  % --pure_diseq_elim                     true
% 150.29/150.49  % --min_unsat_core                      false
% 150.29/150.49  % --pred_elim                           true
% 150.29/150.49  % --add_important_lit                   false
% 150.29/150.49  % --soft_assumptions                    false
% 150.29/150.49  % --reset_solvers                       false
% 150.29/150.49  % --bc_imp_inh                          []
% 150.29/150.49  % --conj_cone_tolerance                 1.5
% 150.29/150.49  % --prolific_symb_bound                 500
% 150.29/150.49  % --lt_threshold                        2000
% 150.29/150.49  
% 150.29/150.49  % ------ SAT Options
% 150.29/150.49  
% 150.29/150.49  % --sat_mode                            false
% 150.29/150.49  % --sat_fm_restart_options              ""
% 150.29/150.49  % --sat_gr_def                          false
% 150.29/150.49  % --sat_epr_types                       true
% 150.29/150.49  % --sat_non_cyclic_types                false
% 150.29/150.49  % --sat_finite_models                   false
% 150.29/150.49  % --sat_fm_lemmas                       false
% 150.29/150.49  % --sat_fm_prep                         false
% 150.29/150.49  % --sat_fm_uc_incr                      true
% 150.29/150.49  % --sat_out_model                       small
% 150.29/150.49  % --sat_out_clauses                     false
% 150.29/150.49  
% 150.29/150.49  % ------ QBF Options
% 150.29/150.49  
% 150.29/150.49  % --qbf_mode                            false
% 150.29/150.49  % --qbf_elim_univ                       true
% 150.29/150.49  % --qbf_sk_in                           true
% 150.29/150.49  % --qbf_pred_elim                       true
% 150.29/150.49  % --qbf_split                           32
% 150.29/150.49  
% 150.29/150.49  % ------ BMC1 Options
% 150.29/150.49  
% 150.29/150.49  % --bmc1_incremental                    false
% 150.29/150.49  % --bmc1_axioms                         reachable_all
% 150.29/150.49  % --bmc1_min_bound                      0
% 150.29/150.49  % --bmc1_max_bound                      -1
% 150.29/150.49  % --bmc1_max_bound_default              -1
% 150.29/150.49  % --bmc1_symbol_reachability            true
% 150.29/150.49  % --bmc1_property_lemmas                false
% 150.29/150.49  % --bmc1_k_induction                    false
% 150.29/150.49  % --bmc1_non_equiv_states               false
% 150.29/150.49  % --bmc1_deadlock                       false
% 150.29/150.49  % --bmc1_ucm                            false
% 150.29/150.49  % --bmc1_add_unsat_core                 none
% 150.29/150.49  % --bmc1_unsat_core_children            false
% 150.29/150.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.29/150.49  % --bmc1_out_stat                       full
% 150.29/150.49  % --bmc1_ground_init                    false
% 150.29/150.49  % --bmc1_pre_inst_next_state            false
% 150.29/150.49  % --bmc1_pre_inst_state                 false
% 150.29/150.49  % --bmc1_pre_inst_reach_state           false
% 150.29/150.49  % --bmc1_out_unsat_core                 false
% 150.29/150.49  % --bmc1_aig_witness_out                false
% 150.29/150.49  % --bmc1_verbose                        false
% 150.29/150.49  % --bmc1_dump_clauses_tptp              false
% 150.29/150.50  % --bmc1_dump_unsat_core_tptp           false
% 150.29/150.50  % --bmc1_dump_file                      -
% 150.29/150.50  % --bmc1_ucm_expand_uc_limit            128
% 150.29/150.50  % --bmc1_ucm_n_expand_iterations        6
% 150.29/150.50  % --bmc1_ucm_extend_mode                1
% 150.29/150.50  % --bmc1_ucm_init_mode                  2
% 150.29/150.50  % --bmc1_ucm_cone_mode                  none
% 150.29/150.50  % --bmc1_ucm_reduced_relation_type      0
% 150.29/150.50  % --bmc1_ucm_relax_model                4
% 150.29/150.50  % --bmc1_ucm_full_tr_after_sat          true
% 150.29/150.50  % --bmc1_ucm_expand_neg_assumptions     false
% 150.29/150.50  % --bmc1_ucm_layered_model              none
% 150.29/150.50  % --bmc1_ucm_max_lemma_size             10
% 150.29/150.50  
% 150.29/150.50  % ------ AIG Options
% 150.29/150.50  
% 150.29/150.50  % --aig_mode                            false
% 150.29/150.50  
% 150.29/150.50  % ------ Instantiation Options
% 150.29/150.50  
% 150.29/150.50  % --instantiation_flag                  true
% 150.29/150.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.29/150.50  % --inst_solver_per_active              750
% 150.29/150.50  % --inst_solver_calls_frac              0.5
% 150.29/150.50  % --inst_passive_queue_type             priority_queues
% 150.29/150.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.29/150.50  % --inst_passive_queues_freq            [25;2]
% 150.29/150.50  % --inst_dismatching                    true
% 150.29/150.50  % --inst_eager_unprocessed_to_passive   true
% 150.29/150.50  % --inst_prop_sim_given                 true
% 150.29/150.50  % --inst_prop_sim_new                   false
% 150.29/150.50  % --inst_orphan_elimination             true
% 150.29/150.50  % --inst_learning_loop_flag             true
% 150.29/150.50  % --inst_learning_start                 3000
% 150.29/150.50  % --inst_learning_factor                2
% 150.29/150.50  % --inst_start_prop_sim_after_learn     3
% 150.29/150.50  % --inst_sel_renew                      solver
% 150.29/150.50  % --inst_lit_activity_flag              true
% 150.29/150.50  % --inst_out_proof                      true
% 150.29/150.50  
% 150.29/150.50  % ------ Resolution Options
% 150.29/150.50  
% 150.29/150.50  % --resolution_flag                     true
% 150.29/150.50  % --res_lit_sel                         kbo_max
% 150.29/150.50  % --res_to_prop_solver                  none
% 150.29/150.50  % --res_prop_simpl_new                  false
% 150.29/150.50  % --res_prop_simpl_given                false
% 150.29/150.50  % --res_passive_queue_type              priority_queues
% 150.29/150.50  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.29/150.50  % --res_passive_queues_freq             [15;5]
% 150.29/150.50  % --res_forward_subs                    full
% 150.29/150.50  % --res_backward_subs                   full
% 150.29/150.50  % --res_forward_subs_resolution         true
% 150.29/150.50  % --res_backward_subs_resolution        true
% 150.29/150.50  % --res_orphan_elimination              false
% 150.29/150.50  % --res_time_limit                      1000.
% 150.29/150.50  % --res_out_proof                       true
% 150.29/150.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_f9ff60.s
% 150.29/150.50  % --modulo                              true
% 150.29/150.50  
% 150.29/150.50  % ------ Combination Options
% 150.29/150.50  
% 150.29/150.50  % --comb_res_mult                       1000
% 150.29/150.50  % --comb_inst_mult                      300
% 150.29/150.50  % ------ 
% 150.29/150.50  
% 150.29/150.50  % ------ Parsing...% successful
% 150.29/150.50  
% 150.29/150.50  % ------ 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 % 
% 150.29/150.50  
% 150.29/150.50  % ------ Proving...
% 150.29/150.50  % ------ Problem Properties 
% 150.29/150.50  
% 150.29/150.50  % 
% 150.29/150.50  % EPR                                   false
% 150.29/150.50  % Horn                                  true
% 150.29/150.50  % Has equality                          true
% 150.29/150.50  
% 150.29/150.50  % % ------ Input Options Time Limit: Unbounded
% 150.29/150.50  
% 150.29/150.50  
% 150.29/150.50  % % ------ Current options:
% 150.29/150.50  
% 150.29/150.50  % ------ Input Options
% 150.29/150.50  
% 150.29/150.50  % --out_options                         all
% 150.29/150.50  % --tptp_safe_out                       true
% 150.29/150.50  % --problem_path                        ""
% 150.29/150.50  % --include_path                        ""
% 150.29/150.50  % --clausifier                          .//eprover
% 150.29/150.50  % --clausifier_options                  --tstp-format  
% 150.29/150.50  % --stdin                               false
% 150.29/150.50  % --dbg_backtrace                       false
% 150.29/150.50  % --dbg_dump_prop_clauses               false
% 150.29/150.50  % --dbg_dump_prop_clauses_file          -
% 150.29/150.50  % --dbg_out_stat                        false
% 150.29/150.50  
% 150.29/150.50  % ------ General Options
% 150.29/150.50  
% 150.29/150.50  % --fof                                 false
% 150.29/150.50  % --time_out_real                       150.
% 150.29/150.50  % --time_out_prep_mult                  0.2
% 150.29/150.50  % --time_out_virtual                    -1.
% 150.29/150.50  % --schedule                            none
% 150.29/150.50  % --ground_splitting                    input
% 150.29/150.50  % --splitting_nvd                       16
% 150.29/150.50  % --non_eq_to_eq                        false
% 150.29/150.50  % --prep_gs_sim                         true
% 150.29/150.50  % --prep_unflatten                      false
% 150.29/150.50  % --prep_res_sim                        true
% 150.29/150.50  % --prep_upred                          true
% 150.29/150.50  % --res_sim_input                       true
% 150.29/150.50  % --clause_weak_htbl                    true
% 150.29/150.50  % --gc_record_bc_elim                   false
% 150.29/150.50  % --symbol_type_check                   false
% 150.29/150.50  % --clausify_out                        false
% 150.29/150.50  % --large_theory_mode                   false
% 150.29/150.50  % --prep_sem_filter                     none
% 150.29/150.50  % --prep_sem_filter_out                 false
% 150.29/150.50  % --preprocessed_out                    false
% 150.29/150.50  % --sub_typing                          false
% 150.29/150.50  % --brand_transform                     false
% 150.29/150.50  % --pure_diseq_elim                     true
% 150.29/150.50  % --min_unsat_core                      false
% 150.29/150.50  % --pred_elim                           true
% 150.29/150.50  % --add_important_lit                   false
% 150.29/150.50  % --soft_assumptions                    false
% 150.29/150.50  % --reset_solvers                       false
% 150.29/150.50  % --bc_imp_inh                          []
% 150.29/150.50  % --conj_cone_tolerance                 1.5
% 150.29/150.50  % --prolific_symb_bound                 500
% 150.29/150.50  % --lt_threshold                        2000
% 150.29/150.50  
% 150.29/150.50  % ------ SAT Options
% 150.29/150.50  
% 150.29/150.50  % --sat_mode                            false
% 150.29/150.50  % --sat_fm_restart_options              ""
% 150.29/150.50  % --sat_gr_def                          false
% 150.29/150.50  % --sat_epr_types                       true
% 150.29/150.50  % --sat_non_cyclic_types                false
% 150.29/150.50  % --sat_finite_models                   false
% 150.29/150.50  % --sat_fm_lemmas                       false
% 150.29/150.50  % --sat_fm_prep                         false
% 150.29/150.50  % --sat_fm_uc_incr                      true
% 150.29/150.50  % --sat_out_model                       small
% 150.29/150.50  % --sat_out_clauses                     false
% 150.29/150.50  
% 150.29/150.50  % ------ QBF Options
% 150.29/150.50  
% 150.29/150.50  % --qbf_mode                            false
% 150.29/150.50  % --qbf_elim_univ                       true
% 150.29/150.50  % --qbf_sk_in                           true
% 150.29/150.50  % --qbf_pred_elim                       true
% 150.29/150.50  % --qbf_split                           32
% 150.29/150.50  
% 150.29/150.50  % ------ BMC1 Options
% 150.29/150.50  
% 150.29/150.50  % --bmc1_incremental                    false
% 150.29/150.50  % --bmc1_axioms                         reachable_all
% 150.29/150.50  % --bmc1_min_bound                      0
% 150.29/150.50  % --bmc1_max_bound                      -1
% 150.29/150.50  % --bmc1_max_bound_default              -1
% 150.29/150.50  % --bmc1_symbol_reachability            true
% 150.29/150.50  % --bmc1_property_lemmas                false
% 150.29/150.50  % --bmc1_k_induction                    false
% 150.29/150.50  % --bmc1_non_equiv_states               false
% 150.29/150.50  % --bmc1_deadlock                       false
% 150.29/150.50  % --bmc1_ucm                            false
% 150.29/150.50  % --bmc1_add_unsat_core                 none
% 150.29/150.50  % --bmc1_unsat_core_children            false
% 150.29/150.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.29/150.50  % --bmc1_out_stat                       full
% 150.29/150.50  % --bmc1_ground_init                    false
% 150.29/150.50  % --bmc1_pre_inst_next_state            false
% 150.29/150.50  % --bmc1_pre_inst_state                 false
% 150.29/150.50  % --bmc1_pre_inst_reach_state           false
% 150.29/150.50  % --bmc1_out_unsat_core                 false
% 150.29/150.50  % --bmc1_aig_witness_out                false
% 150.29/150.50  % --bmc1_verbose                        false
% 150.29/150.50  % --bmc1_dump_clauses_tptp              false
% 150.29/150.50  % --bmc1_dump_unsat_core_tptp           false
% 150.29/150.50  % --bmc1_dump_file                      -
% 150.29/150.50  % --bmc1_ucm_expand_uc_limit            128
% 150.29/150.50  % --bmc1_ucm_n_expand_iterations        6
% 150.29/150.50  % --bmc1_ucm_extend_mode                1
% 150.29/150.50  % --bmc1_ucm_init_mode                  2
% 150.29/150.50  % --bmc1_ucm_cone_mode                  none
% 150.29/150.50  % --bmc1_ucm_reduced_relation_type      0
% 150.29/150.50  % --bmc1_ucm_relax_model                4
% 150.29/150.50  % --bmc1_ucm_full_tr_after_sat          true
% 150.29/150.50  % --bmc1_ucm_expand_neg_assumptions     false
% 150.29/150.50  % --bmc1_ucm_layered_model              none
% 150.29/150.50  % --bmc1_ucm_max_lemma_size             10
% 150.29/150.50  
% 150.29/150.50  % ------ AIG Options
% 150.29/150.50  
% 150.29/150.50  % --aig_mode                            false
% 150.29/150.50  
% 150.29/150.50  % ------ Instantiation Options
% 150.29/150.50  
% 150.29/150.50  % --instantiation_flag                  true
% 150.29/150.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.29/150.50  % --inst_solver_per_active              750
% 150.29/150.50  % --inst_solver_calls_frac              0.5
% 150.29/150.50  % --inst_passive_queue_type             priority_queues
% 150.29/150.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.29/150.50  % --inst_passive_queues_freq            [25;2]
% 150.29/150.50  % --inst_dismatching                    true
% 150.29/150.50  % --inst_eager_unprocessed_to_passive   true
% 150.29/150.50  % --inst_prop_sim_given                 true
% 178.24/178.56  % --inst_prop_sim_new                   false
% 178.24/178.56  % --inst_orphan_elimination             true
% 178.24/178.56  % --inst_learning_loop_flag             true
% 178.24/178.56  % --inst_learning_start                 3000
% 178.24/178.56  % --inst_learning_factor                2
% 178.24/178.56  % --inst_start_prop_sim_after_learn     3
% 178.24/178.56  % --inst_sel_renew                      solver
% 178.24/178.56  % --inst_lit_activity_flag              true
% 178.24/178.56  % --inst_out_proof                      true
% 178.24/178.56  
% 178.24/178.56  % ------ Resolution Options
% 178.24/178.56  
% 178.24/178.56  % --resolution_flag                     true
% 178.24/178.56  % --res_lit_sel                         kbo_max
% 178.24/178.56  % --res_to_prop_solver                  none
% 178.24/178.56  % --res_prop_simpl_new                  false
% 178.24/178.56  % --res_prop_simpl_given                false
% 178.24/178.56  % --res_passive_queue_type              priority_queues
% 178.24/178.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 178.24/178.56  % --res_passive_queues_freq             [15;5]
% 178.24/178.56  % --res_forward_subs                    full
% 178.24/178.56  % --res_backward_subs                   full
% 178.24/178.56  % --res_forward_subs_resolution         true
% 178.24/178.56  % --res_backward_subs_resolution        true
% 178.24/178.56  % --res_orphan_elimination              false
% 178.24/178.56  % --res_time_limit                      1000.
% 178.24/178.56  % --res_out_proof                       true
% 178.24/178.56  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_f9ff60.s
% 178.24/178.56  % --modulo                              true
% 178.24/178.56  
% 178.24/178.56  % ------ Combination Options
% 178.24/178.56  
% 178.24/178.56  % --comb_res_mult                       1000
% 178.24/178.56  % --comb_inst_mult                      300
% 178.24/178.56  % ------ 
% 178.24/178.56  
% 178.24/178.56  
% 178.24/178.56  
% 178.24/178.56  % ------ Proving...
% 178.24/178.56  % 
% 178.24/178.56  
% 178.24/178.56  
% 178.24/178.56  %  Resolution empty clause
% 178.24/178.56  
% 178.24/178.56  % ------                             Statistics
% 178.24/178.56  
% 178.24/178.56  % ------ General
% 178.24/178.56  
% 178.24/178.56  % num_of_input_clauses:                 50
% 178.24/178.56  % num_of_input_neg_conjectures:         1
% 178.24/178.56  % num_of_splits:                        0
% 178.24/178.56  % num_of_split_atoms:                   0
% 178.24/178.56  % num_of_sem_filtered_clauses:          0
% 178.24/178.56  % num_of_subtypes:                      0
% 178.24/178.56  % monotx_restored_types:                0
% 178.24/178.56  % sat_num_of_epr_types:                 0
% 178.24/178.56  % sat_num_of_non_cyclic_types:          0
% 178.24/178.56  % sat_guarded_non_collapsed_types:      0
% 178.24/178.56  % is_epr:                               0
% 178.24/178.56  % is_horn:                              1
% 178.24/178.56  % has_eq:                               1
% 178.24/178.56  % num_pure_diseq_elim:                  0
% 178.24/178.56  % simp_replaced_by:                     0
% 178.24/178.56  % res_preprocessed:                     6
% 178.24/178.56  % prep_upred:                           0
% 178.24/178.56  % prep_unflattend:                      0
% 178.24/178.56  % pred_elim_cands:                      1
% 178.24/178.56  % pred_elim:                            0
% 178.24/178.56  % pred_elim_cl:                         0
% 178.24/178.56  % pred_elim_cycles:                     1
% 178.24/178.56  % forced_gc_time:                       0
% 178.24/178.56  % gc_basic_clause_elim:                 0
% 178.24/178.56  % parsing_time:                         0.001
% 178.24/178.56  % sem_filter_time:                      0.
% 178.24/178.56  % pred_elim_time:                       0.
% 178.24/178.56  % out_proof_time:                       0.003
% 178.24/178.56  % monotx_time:                          0.
% 178.24/178.56  % subtype_inf_time:                     0.
% 178.24/178.56  % unif_index_cands_time:                0.223
% 178.24/178.56  % unif_index_add_time:                  0.045
% 178.24/178.56  % total_time:                           28.075
% 178.24/178.56  % num_of_symbols:                       37
% 178.24/178.56  % num_of_terms:                         152668
% 178.24/178.56  
% 178.24/178.56  % ------ Propositional Solver
% 178.24/178.56  
% 178.24/178.56  % prop_solver_calls:                    33
% 178.24/178.56  % prop_fast_solver_calls:               15
% 178.24/178.56  % prop_num_of_clauses:                  21696
% 178.24/178.56  % prop_preprocess_simplified:           34799
% 178.24/178.56  % prop_fo_subsumed:                     0
% 178.24/178.56  % prop_solver_time:                     0.011
% 178.24/178.56  % prop_fast_solver_time:                0.
% 178.24/178.56  % prop_unsat_core_time:                 0.
% 178.24/178.56  
% 178.24/178.56  % ------ QBF 
% 178.24/178.56  
% 178.24/178.56  % qbf_q_res:                            0
% 178.24/178.56  % qbf_num_tautologies:                  0
% 178.24/178.56  % qbf_prep_cycles:                      0
% 178.24/178.56  
% 178.24/178.56  % ------ BMC1
% 178.24/178.56  
% 178.24/178.56  % bmc1_current_bound:                   -1
% 178.24/178.56  % bmc1_last_solved_bound:               -1
% 178.24/178.56  % bmc1_unsat_core_size:                 -1
% 178.24/178.56  % bmc1_unsat_core_parents_size:         -1
% 178.24/178.56  % bmc1_merge_next_fun:                  0
% 178.24/178.56  % bmc1_unsat_core_clauses_time:         0.
% 178.24/178.56  
% 178.24/178.56  % ------ Instantiation
% 178.24/178.56  
% 178.24/178.56  % inst_num_of_clauses:                  4628
% 178.24/178.56  % inst_num_in_passive:                  2120
% 178.24/178.56  % inst_num_in_active:                   1390
% 178.24/178.56  % inst_num_in_unprocessed:              1015
% 178.24/178.56  % inst_num_of_loops:                    1499
% 178.31/178.56  % inst_num_of_learning_restarts:        1
% 178.31/178.56  % inst_num_moves_active_passive:        5
% 178.31/178.56  % inst_lit_activity:                    677
% 178.31/178.56  % inst_lit_activity_moves:              0
% 178.31/178.56  % inst_num_tautologies:                 103
% 178.31/178.56  % inst_num_prop_implied:                0
% 178.31/178.56  % inst_num_existing_simplified:         0
% 178.31/178.56  % inst_num_eq_res_simplified:           0
% 178.31/178.56  % inst_num_child_elim:                  0
% 178.31/178.56  % inst_num_of_dismatching_blockings:    5229
% 178.31/178.56  % inst_num_of_non_proper_insts:         10428
% 178.31/178.56  % inst_num_of_duplicates:               2931
% 178.31/178.56  % inst_inst_num_from_inst_to_res:       0
% 178.31/178.56  % inst_dismatching_checking_time:       0.128
% 178.31/178.56  
% 178.31/178.56  % ------ Resolution
% 178.31/178.56  
% 178.31/178.56  % res_num_of_clauses:                   546845
% 178.31/178.56  % res_num_in_passive:                   564266
% 178.31/178.56  % res_num_in_active:                    10190
% 178.31/178.56  % res_num_of_loops:                     15271
% 178.31/178.56  % res_forward_subset_subsumed:          196042
% 178.31/178.56  % res_backward_subset_subsumed:         29010
% 178.31/178.56  % res_forward_subsumed:                 3244
% 178.31/178.56  % res_backward_subsumed:                680
% 178.31/178.56  % res_forward_subsumption_resolution:   300
% 178.31/178.56  % res_backward_subsumption_resolution:  169
% 178.31/178.56  % res_clause_to_clause_subsumption:     92736
% 178.31/178.56  % res_orphan_elimination:               0
% 178.31/178.56  % res_tautology_del:                    3221
% 178.31/178.56  % res_num_eq_res_simplified:            0
% 178.31/178.56  % res_num_sel_changes:                  0
% 178.31/178.56  % res_moves_from_active_to_pass:        0
% 178.31/178.56  
% 178.31/178.56  % Status Unsatisfiable
% 178.31/178.56  % SZS status Unsatisfiable
% 178.31/178.56  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------