TSTP Solution File: SEU355+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 10:27:38 EDT 2022

% Result   : Theorem 1.00s 1.22s
% Output   : CNFRefutation 1.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  215 (  74 unt;   0 def)
%            Number of atoms       :  582 (  15 equ)
%            Maximal formula atoms :   18 (   2 avg)
%            Number of connectives :  674 ( 307   ~; 312   |;  19   &)
%                                         (   4 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (   9 usr;   2 prp; 0-3 aty)
%            Number of functors    :   22 (  22 usr;  15 con; 0-3 aty)
%            Number of variables   :  337 (   6 sgn  70   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2,X3] :
          ( element(X3,the_carrier(X1))
         => ( relstr_set_smaller(X1,X2,X3)
          <=> ! [X4] :
                ( element(X4,the_carrier(X1))
               => ( in(X4,X2)
                 => related(X1,X4,X3) ) ) ) ) ),
    file('<stdin>',d9_lattice3) ).

fof(c_0_1,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2,X3] :
          ( element(X3,the_carrier(X1))
         => ( relstr_element_smaller(X1,X2,X3)
          <=> ! [X4] :
                ( element(X4,the_carrier(X1))
               => ( in(X4,X2)
                 => related(X1,X3,X4) ) ) ) ) ),
    file('<stdin>',d8_lattice3) ).

fof(c_0_2,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('<stdin>',antisymmetry_r2_hidden) ).

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('<stdin>',t2_subset) ).

fof(c_0_4,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    file('<stdin>',t1_subset) ).

fof(c_0_5,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_6,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_8,axiom,
    ! [X1] :
      ( rel_str(X1)
     => one_sorted_str(X1) ),
    file('<stdin>',dt_l1_orders_2) ).

fof(c_0_9,axiom,
    ! [X1] :
      ( empty(X1)
     => finite(X1) ),
    file('<stdin>',cc1_finset_1) ).

fof(c_0_10,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('<stdin>',t6_boole) ).

fof(c_0_11,axiom,
    ? [X1] : ~ empty(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_12,axiom,
    ? [X1] :
      ( ~ empty(X1)
      & finite(X1) ),
    file('<stdin>',rc1_finset_1) ).

fof(c_0_13,axiom,
    ? [X1] : empty(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_14,axiom,
    empty(empty_set),
    file('<stdin>',fc1_xboole_0) ).

fof(c_0_15,axiom,
    ? [X1] : one_sorted_str(X1),
    file('<stdin>',existence_l1_struct_0) ).

fof(c_0_16,axiom,
    ? [X1] : rel_str(X1),
    file('<stdin>',existence_l1_orders_2) ).

fof(c_0_17,axiom,
    $true,
    file('<stdin>',dt_u1_struct_0) ).

fof(c_0_18,axiom,
    $true,
    file('<stdin>',dt_m1_subset_1) ).

fof(c_0_19,axiom,
    $true,
    file('<stdin>',dt_l1_struct_0) ).

fof(c_0_20,axiom,
    $true,
    file('<stdin>',dt_k1_xboole_0) ).

fof(c_0_21,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2,X3] :
          ( element(X3,the_carrier(X1))
         => ( relstr_set_smaller(X1,X2,X3)
          <=> ! [X4] :
                ( element(X4,the_carrier(X1))
               => ( in(X4,X2)
                 => related(X1,X4,X3) ) ) ) ) ),
    c_0_0 ).

fof(c_0_22,axiom,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2,X3] :
          ( element(X3,the_carrier(X1))
         => ( relstr_element_smaller(X1,X2,X3)
          <=> ! [X4] :
                ( element(X4,the_carrier(X1))
               => ( in(X4,X2)
                 => related(X1,X3,X4) ) ) ) ) ),
    c_0_1 ).

fof(c_0_23,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_24,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    c_0_3 ).

fof(c_0_25,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    c_0_4 ).

fof(c_0_26,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    c_0_5 ).

fof(c_0_27,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    c_0_6 ).

fof(c_0_28,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    c_0_7 ).

fof(c_0_29,axiom,
    ! [X1] :
      ( rel_str(X1)
     => one_sorted_str(X1) ),
    c_0_8 ).

fof(c_0_30,axiom,
    ! [X1] :
      ( empty(X1)
     => finite(X1) ),
    c_0_9 ).

fof(c_0_31,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    c_0_10 ).

fof(c_0_32,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_33,plain,
    ? [X1] :
      ( ~ empty(X1)
      & finite(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_34,axiom,
    ? [X1] : empty(X1),
    c_0_13 ).

fof(c_0_35,axiom,
    empty(empty_set),
    c_0_14 ).

fof(c_0_36,axiom,
    ? [X1] : one_sorted_str(X1),
    c_0_15 ).

fof(c_0_37,axiom,
    ? [X1] : rel_str(X1),
    c_0_16 ).

fof(c_0_38,axiom,
    $true,
    c_0_17 ).

fof(c_0_39,axiom,
    $true,
    c_0_18 ).

fof(c_0_40,axiom,
    $true,
    c_0_19 ).

fof(c_0_41,axiom,
    $true,
    c_0_20 ).

fof(c_0_42,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ relstr_set_smaller(X5,X6,X7)
        | ~ element(X8,the_carrier(X5))
        | ~ in(X8,X6)
        | related(X5,X8,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( element(esk2_3(X5,X6,X7),the_carrier(X5))
        | relstr_set_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( in(esk2_3(X5,X6,X7),X6)
        | relstr_set_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( ~ related(X5,esk2_3(X5,X6,X7),X7)
        | relstr_set_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])])]) ).

fof(c_0_43,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ relstr_element_smaller(X5,X6,X7)
        | ~ element(X8,the_carrier(X5))
        | ~ in(X8,X6)
        | related(X5,X7,X8)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( element(esk1_3(X5,X6,X7),the_carrier(X5))
        | relstr_element_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( in(esk1_3(X5,X6,X7),X6)
        | relstr_element_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) )
      & ( ~ related(X5,X7,esk1_3(X5,X6,X7))
        | relstr_element_smaller(X5,X6,X7)
        | ~ element(X7,the_carrier(X5))
        | ~ rel_str(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])])])]) ).

fof(c_0_44,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])]) ).

fof(c_0_45,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])]) ).

fof(c_0_46,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | element(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])]) ).

fof(c_0_47,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_26])]) ).

fof(c_0_48,plain,
    ! [X3] : element(esk5_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_27])]) ).

fof(c_0_49,plain,
    ! [X3,X4] :
      ( ~ empty(X3)
      | X3 = X4
      | ~ empty(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).

fof(c_0_50,plain,
    ! [X2] :
      ( ~ rel_str(X2)
      | one_sorted_str(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_29])]) ).

fof(c_0_51,plain,
    ! [X2] :
      ( ~ empty(X2)
      | finite(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])]) ).

fof(c_0_52,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).

fof(c_0_53,plain,
    ~ empty(esk8_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_32])]) ).

fof(c_0_54,plain,
    ( ~ empty(esk6_0)
    & finite(esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_33])]) ).

fof(c_0_55,plain,
    empty(esk7_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_34])]) ).

fof(c_0_56,axiom,
    empty(empty_set),
    c_0_35 ).

fof(c_0_57,plain,
    one_sorted_str(esk4_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_36])]) ).

fof(c_0_58,plain,
    rel_str(esk3_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_37])]) ).

fof(c_0_59,axiom,
    $true,
    c_0_38 ).

fof(c_0_60,axiom,
    $true,
    c_0_39 ).

fof(c_0_61,axiom,
    $true,
    c_0_40 ).

fof(c_0_62,axiom,
    $true,
    c_0_41 ).

cnf(c_0_63,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,esk2_3(X1,X3,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_64,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,X2,esk1_3(X1,X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_65,plain,
    ( related(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_66,plain,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_67,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | element(esk2_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_68,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | element(esk1_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_69,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | in(esk2_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_70,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | in(esk1_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_43]) ).

cnf(c_0_71,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_72,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_45]) ).

cnf(c_0_73,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_46]) ).

cnf(c_0_74,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_75,plain,
    element(esk5_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_76,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_49]) ).

cnf(c_0_77,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_50]) ).

cnf(c_0_78,plain,
    ( finite(X1)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_51]) ).

cnf(c_0_79,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_52]) ).

cnf(c_0_80,plain,
    ~ empty(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_53]) ).

cnf(c_0_81,plain,
    ~ empty(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_82,plain,
    empty(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_55]) ).

cnf(c_0_83,plain,
    finite(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_54]) ).

cnf(c_0_84,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_56]) ).

cnf(c_0_85,plain,
    one_sorted_str(esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_86,plain,
    rel_str(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_87,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_59]) ).

cnf(c_0_88,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_89,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_90,plain,
    $true,
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_91,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,esk2_3(X1,X3,X2),X2) ),
    c_0_63,
    [final] ).

cnf(c_0_92,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,X2,esk1_3(X1,X3,X2)) ),
    c_0_64,
    [final] ).

cnf(c_0_93,plain,
    ( related(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    c_0_65,
    [final] ).

cnf(c_0_94,plain,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    c_0_66,
    [final] ).

cnf(c_0_95,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | element(esk2_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    c_0_67,
    [final] ).

cnf(c_0_96,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | element(esk1_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    c_0_68,
    [final] ).

cnf(c_0_97,plain,
    ( relstr_set_smaller(X1,X3,X2)
    | in(esk2_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    c_0_69,
    [final] ).

cnf(c_0_98,plain,
    ( relstr_element_smaller(X1,X3,X2)
    | in(esk1_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    c_0_70,
    [final] ).

cnf(c_0_99,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    c_0_71,
    [final] ).

cnf(c_0_100,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    c_0_72,
    [final] ).

cnf(c_0_101,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    c_0_73,
    [final] ).

cnf(c_0_102,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    c_0_74,
    [final] ).

cnf(c_0_103,plain,
    element(esk5_1(X1),X1),
    c_0_75,
    [final] ).

cnf(c_0_104,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    c_0_76,
    [final] ).

cnf(c_0_105,plain,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    c_0_77,
    [final] ).

cnf(c_0_106,plain,
    ( finite(X1)
    | ~ empty(X1) ),
    c_0_78,
    [final] ).

cnf(c_0_107,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    c_0_79,
    [final] ).

cnf(c_0_108,plain,
    ~ empty(esk8_0),
    c_0_80,
    [final] ).

cnf(c_0_109,plain,
    ~ empty(esk6_0),
    c_0_81,
    [final] ).

cnf(c_0_110,plain,
    empty(esk7_0),
    c_0_82,
    [final] ).

cnf(c_0_111,plain,
    finite(esk6_0),
    c_0_83,
    [final] ).

cnf(c_0_112,plain,
    empty(empty_set),
    c_0_84,
    [final] ).

cnf(c_0_113,plain,
    one_sorted_str(esk4_0),
    c_0_85,
    [final] ).

cnf(c_0_114,plain,
    rel_str(esk3_0),
    c_0_86,
    [final] ).

cnf(c_0_115,plain,
    $true,
    c_0_87,
    [final] ).

cnf(c_0_116,plain,
    $true,
    c_0_88,
    [final] ).

cnf(c_0_117,plain,
    $true,
    c_0_89,
    [final] ).

cnf(c_0_118,plain,
    $true,
    c_0_90,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_91_0,axiom,
    ( relstr_set_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,sk1_esk2_3(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_1,axiom,
    ( ~ rel_str(X1)
    | relstr_set_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,sk1_esk2_3(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_2,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | relstr_set_smaller(X1,X3,X2)
    | ~ related(X1,sk1_esk2_3(X1,X3,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_91_3,axiom,
    ( ~ related(X1,sk1_esk2_3(X1,X3,X2),X2)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | relstr_set_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_91]) ).

cnf(c_0_92_0,axiom,
    ( relstr_element_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,X2,sk1_esk1_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_1,axiom,
    ( ~ rel_str(X1)
    | relstr_element_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1))
    | ~ related(X1,X2,sk1_esk1_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_2,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | relstr_element_smaller(X1,X3,X2)
    | ~ related(X1,X2,sk1_esk1_3(X1,X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_92_3,axiom,
    ( ~ related(X1,X2,sk1_esk1_3(X1,X3,X2))
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | relstr_element_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_92]) ).

cnf(c_0_93_0,axiom,
    ( related(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_1,axiom,
    ( ~ rel_str(X1)
    | related(X1,X3,X2)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_2,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X3,X2)
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_3,axiom,
    ( ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X3,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_4,axiom,
    ( ~ element(X3,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X3,X2)
    | ~ relstr_set_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_93_5,axiom,
    ( ~ relstr_set_smaller(X1,X4,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_93]) ).

cnf(c_0_94_0,axiom,
    ( related(X1,X2,X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_1,axiom,
    ( ~ rel_str(X1)
    | related(X1,X2,X3)
    | ~ element(X2,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_2,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X2,X3)
    | ~ in(X3,X4)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_3,axiom,
    ( ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X2,X3)
    | ~ element(X3,the_carrier(X1))
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_4,axiom,
    ( ~ element(X3,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X2,X3)
    | ~ relstr_element_smaller(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_94_5,axiom,
    ( ~ relstr_element_smaller(X1,X4,X2)
    | ~ element(X3,the_carrier(X1))
    | ~ in(X3,X4)
    | ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | related(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_94]) ).

cnf(c_0_95_0,axiom,
    ( relstr_set_smaller(X1,X3,X2)
    | element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_1,axiom,
    ( element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
    | relstr_set_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_2,axiom,
    ( ~ rel_str(X1)
    | element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
    | relstr_set_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_95_3,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | element(sk1_esk2_3(X1,X3,X2),the_carrier(X1))
    | relstr_set_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_95]) ).

cnf(c_0_96_0,axiom,
    ( relstr_element_smaller(X1,X3,X2)
    | element(sk1_esk1_3(X1,X3,X2),the_carrier(X1))
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_1,axiom,
    ( element(sk1_esk1_3(X1,X3,X2),the_carrier(X1))
    | relstr_element_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_2,axiom,
    ( ~ rel_str(X1)
    | element(sk1_esk1_3(X1,X3,X2),the_carrier(X1))
    | relstr_element_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_96_3,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | element(sk1_esk1_3(X1,X3,X2),the_carrier(X1))
    | relstr_element_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_96]) ).

cnf(c_0_97_0,axiom,
    ( relstr_set_smaller(X1,X3,X2)
    | in(sk1_esk2_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_1,axiom,
    ( in(sk1_esk2_3(X1,X3,X2),X3)
    | relstr_set_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_2,axiom,
    ( ~ rel_str(X1)
    | in(sk1_esk2_3(X1,X3,X2),X3)
    | relstr_set_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_97_3,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | in(sk1_esk2_3(X1,X3,X2),X3)
    | relstr_set_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_97]) ).

cnf(c_0_98_0,axiom,
    ( relstr_element_smaller(X1,X3,X2)
    | in(sk1_esk1_3(X1,X3,X2),X3)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_1,axiom,
    ( in(sk1_esk1_3(X1,X3,X2),X3)
    | relstr_element_smaller(X1,X3,X2)
    | ~ rel_str(X1)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_2,axiom,
    ( ~ rel_str(X1)
    | in(sk1_esk1_3(X1,X3,X2),X3)
    | relstr_element_smaller(X1,X3,X2)
    | ~ element(X2,the_carrier(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_98_3,axiom,
    ( ~ element(X2,the_carrier(X1))
    | ~ rel_str(X1)
    | in(sk1_esk1_3(X1,X3,X2),X3)
    | relstr_element_smaller(X1,X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_98]) ).

cnf(c_0_99_0,axiom,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_99_1,axiom,
    ( ~ in(X2,X1)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_99]) ).

cnf(c_0_100_0,axiom,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_1,axiom,
    ( empty(X2)
    | in(X1,X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_100_2,axiom,
    ( ~ element(X1,X2)
    | empty(X2)
    | in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_100]) ).

cnf(c_0_101_0,axiom,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_101_1,axiom,
    ( ~ in(X1,X2)
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_101]) ).

cnf(c_0_102_0,axiom,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_102_1,axiom,
    ( ~ in(X2,X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_102]) ).

cnf(c_0_104_0,axiom,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_1,axiom,
    ( ~ empty(X1)
    | X2 = X1
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_104_2,axiom,
    ( ~ empty(X2)
    | ~ empty(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_104]) ).

cnf(c_0_105_0,axiom,
    ( one_sorted_str(X1)
    | ~ rel_str(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_105_1,axiom,
    ( ~ rel_str(X1)
    | one_sorted_str(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_105]) ).

cnf(c_0_106_0,axiom,
    ( finite(X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_106_1,axiom,
    ( ~ empty(X1)
    | finite(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_106]) ).

cnf(c_0_107_0,axiom,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_107_1,axiom,
    ( ~ empty(X1)
    | X1 = empty_set ),
    inference(literals_permutation,[status(thm)],[c_0_107]) ).

cnf(c_0_108_0,axiom,
    ~ empty(sk1_esk8_0),
    inference(literals_permutation,[status(thm)],[c_0_108]) ).

cnf(c_0_109_0,axiom,
    ~ empty(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_109]) ).

cnf(c_0_103_0,axiom,
    element(sk1_esk5_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_103]) ).

cnf(c_0_110_0,axiom,
    empty(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_110]) ).

cnf(c_0_111_0,axiom,
    finite(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_111]) ).

cnf(c_0_112_0,axiom,
    empty(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_112]) ).

cnf(c_0_113_0,axiom,
    one_sorted_str(sk1_esk4_0),
    inference(literals_permutation,[status(thm)],[c_0_113]) ).

cnf(c_0_114_0,axiom,
    rel_str(sk1_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_114]) ).

cnf(c_0_115_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_115]) ).

cnf(c_0_116_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_116]) ).

cnf(c_0_117_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_117]) ).

cnf(c_0_118_0,axiom,
    $true,
    inference(literals_permutation,[status(thm)],[c_0_118]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1] :
      ( rel_str(X1)
     => ! [X2] :
          ( element(X2,the_carrier(X1))
         => ( relstr_set_smaller(X1,empty_set,X2)
            & relstr_element_smaller(X1,empty_set,X2) ) ) ),
    file('<stdin>',t6_yellow_0) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1] :
        ( rel_str(X1)
       => ! [X2] :
            ( element(X2,the_carrier(X1))
           => ( relstr_set_smaller(X1,empty_set,X2)
              & relstr_element_smaller(X1,empty_set,X2) ) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( rel_str(esk1_0)
    & element(esk2_0,the_carrier(esk1_0))
    & ( ~ relstr_set_smaller(esk1_0,empty_set,esk2_0)
      | ~ relstr_element_smaller(esk1_0,empty_set,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( ~ relstr_element_smaller(esk1_0,empty_set,esk2_0)
    | ~ relstr_set_smaller(esk1_0,empty_set,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    element(esk2_0,the_carrier(esk1_0)),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    rel_str(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( ~ relstr_element_smaller(esk1_0,empty_set,esk2_0)
    | ~ relstr_set_smaller(esk1_0,empty_set,esk2_0) ),
    c_0_3,
    [final] ).

cnf(c_0_7_008,negated_conjecture,
    element(esk2_0,the_carrier(esk1_0)),
    c_0_4,
    [final] ).

cnf(c_0_8_009,negated_conjecture,
    rel_str(esk1_0),
    c_0_5,
    [final] ).

% End CNF derivation

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

cnf(c_21,plain,
    ( ~ empty(X0)
    | ~ in(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_102_1) ).

cnf(c_125,plain,
    ( ~ empty(X0)
    | ~ in(X1,X0) ),
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_9950,plain,
    ( ~ empty(X0)
    | ~ in(sk1_esk1_3(sk2_esk1_0,X0,sk2_esk2_0),X0) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_9951,plain,
    ( ~ empty(empty_set)
    | ~ in(sk1_esk1_3(sk2_esk1_0,empty_set,sk2_esk2_0),empty_set) ),
    inference(instantiation,[status(thm)],[c_9950]) ).

cnf(c_9832,plain,
    ( ~ empty(X0)
    | ~ in(sk1_esk2_3(sk2_esk1_0,X0,sk2_esk2_0),X0) ),
    inference(instantiation,[status(thm)],[c_125]) ).

cnf(c_9833,plain,
    ( ~ empty(empty_set)
    | ~ in(sk1_esk2_3(sk2_esk1_0,empty_set,sk2_esk2_0),empty_set) ),
    inference(instantiation,[status(thm)],[c_9832]) ).

cnf(c_34,plain,
    ( relstr_set_smaller(X0,X1,X2)
    | in(sk1_esk2_3(X0,X1,X2),X1)
    | ~ rel_str(X0)
    | ~ element(X2,the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_97_3) ).

cnf(c_138,plain,
    ( relstr_set_smaller(X0,X1,X2)
    | in(sk1_esk2_3(X0,X1,X2),X1)
    | ~ rel_str(X0)
    | ~ element(X2,the_carrier(X0)) ),
    inference(copy,[status(esa)],[c_34]) ).

cnf(c_9715,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(X0,the_carrier(sk2_esk1_0))
    | in(sk1_esk2_3(sk2_esk1_0,X1,X0),X1)
    | relstr_set_smaller(sk2_esk1_0,X1,X0) ),
    inference(instantiation,[status(thm)],[c_138]) ).

cnf(c_9810,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(sk2_esk2_0,the_carrier(sk2_esk1_0))
    | in(sk1_esk2_3(sk2_esk1_0,X0,sk2_esk2_0),X0)
    | relstr_set_smaller(sk2_esk1_0,X0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_9715]) ).

cnf(c_9811,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(sk2_esk2_0,the_carrier(sk2_esk1_0))
    | in(sk1_esk2_3(sk2_esk1_0,empty_set,sk2_esk2_0),empty_set)
    | relstr_set_smaller(sk2_esk1_0,empty_set,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_9810]) ).

cnf(c_30,plain,
    ( relstr_element_smaller(X0,X1,X2)
    | in(sk1_esk1_3(X0,X1,X2),X1)
    | ~ rel_str(X0)
    | ~ element(X2,the_carrier(X0)) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_98_3) ).

cnf(c_134,plain,
    ( relstr_element_smaller(X0,X1,X2)
    | in(sk1_esk1_3(X0,X1,X2),X1)
    | ~ rel_str(X0)
    | ~ element(X2,the_carrier(X0)) ),
    inference(copy,[status(esa)],[c_30]) ).

cnf(c_9705,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(X0,the_carrier(sk2_esk1_0))
    | in(sk1_esk1_3(sk2_esk1_0,X1,X0),X1)
    | relstr_element_smaller(sk2_esk1_0,X1,X0) ),
    inference(instantiation,[status(thm)],[c_134]) ).

cnf(c_9806,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(sk2_esk2_0,the_carrier(sk2_esk1_0))
    | in(sk1_esk1_3(sk2_esk1_0,X0,sk2_esk2_0),X0)
    | relstr_element_smaller(sk2_esk1_0,X0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_9705]) ).

cnf(c_9807,plain,
    ( ~ rel_str(sk2_esk1_0)
    | ~ element(sk2_esk2_0,the_carrier(sk2_esk1_0))
    | in(sk1_esk1_3(sk2_esk1_0,empty_set,sk2_esk2_0),empty_set)
    | relstr_element_smaller(sk2_esk1_0,empty_set,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_9806]) ).

cnf(c_6,plain,
    empty(empty_set),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_112_0) ).

cnf(c_66,negated_conjecture,
    ( ~ relstr_element_smaller(sk2_esk1_0,empty_set,sk2_esk2_0)
    | ~ relstr_set_smaller(sk2_esk1_0,empty_set,sk2_esk2_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_6) ).

cnf(c_67,negated_conjecture,
    element(sk2_esk2_0,the_carrier(sk2_esk1_0)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_7) ).

cnf(c_68,negated_conjecture,
    rel_str(sk2_esk1_0),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p',c_0_8) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_9951,c_9833,c_9811,c_9807,c_6,c_66,c_67,c_68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SEU355+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 10:37:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.20/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40  % FOF problem with conjecture
% 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/sandbox2/tmp/iprover_proof_aa6d61.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_22635d | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --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/sandbox2/tmp/iprover_proof_aa6d61.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                                  false
% 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
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_aa6d61.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % warning:  shown sat in sat incomplete mode 
% 0.20/0.44  % 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  cnf(c_32,negated_conjecture,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_7) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_50,negated_conjecture,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_61,negated_conjecture,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_64,negated_conjecture,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_67,negated_conjecture,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_167,plain,
% 0.20/0.44      ( element(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_67]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_21,plain,
% 0.20/0.44      ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_67_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_145,plain,
% 0.20/0.44      ( empty(X0) | in(X1,X0) | ~ element(X1,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_193,plain,
% 0.20/0.44      ( empty(the_carrier(sk3_esk1_0))
% 0.20/0.44      | in(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_167,c_145]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_194,plain,
% 0.20/0.44      ( empty(the_carrier(sk3_esk1_0))
% 0.20/0.44      | in(sk3_esk2_0,the_carrier(sk3_esk1_0)) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_193]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_22,plain,
% 0.20/0.44      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_66_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_147,plain,
% 0.20/0.44      ( ~ in(X0,X1) | ~ in(X1,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_205,plain,
% 0.20/0.44      ( empty(the_carrier(sk3_esk1_0))
% 0.20/0.44      | ~ in(the_carrier(sk3_esk1_0),sk3_esk2_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_194,c_147]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_206,plain,
% 0.20/0.44      ( empty(the_carrier(sk3_esk1_0))
% 0.20/0.44      | ~ in(the_carrier(sk3_esk1_0),sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_205]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_33,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_8) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_52,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_62,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_63,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_68,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_169,negated_conjecture,
% 0.20/0.44      ( rel_str(sk3_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_68]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_19,plain,
% 0.20/0.44      ( one_sorted_str(X0) | ~ rel_str(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_69_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_141,plain,
% 0.20/0.44      ( one_sorted_str(X0) | ~ rel_str(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_19]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_142,plain,
% 0.20/0.44      ( ~ rel_str(X0) | one_sorted_str(X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_141]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_177,plain,
% 0.20/0.44      ( one_sorted_str(sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_169,c_142]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_178,plain,
% 0.20/0.44      ( one_sorted_str(sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_177]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_27,plain,
% 0.20/0.44      ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.44      | ~ element(X3,the_carrier(X0))
% 0.20/0.44      | ~ in(X3,X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | related(X0,X2,X3)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_61_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_157,plain,
% 0.20/0.44      ( ~ relstr_element_smaller(X0,X1,X2)
% 0.20/0.44      | ~ element(X3,the_carrier(X0))
% 0.20/0.44      | ~ in(X3,X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | related(X0,X2,X3)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_158,plain,
% 0.20/0.44      ( ~ in(X0,X1)
% 0.20/0.44      | ~ element(X0,the_carrier(X2))
% 0.20/0.44      | ~ element(X3,the_carrier(X2))
% 0.20/0.44      | ~ rel_str(X2)
% 0.20/0.44      | ~ relstr_element_smaller(X2,X1,X3)
% 0.20/0.44      | related(X2,X3,X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_157]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_176,plain,
% 0.20/0.44      ( ~ in(sk3_esk1_0,X0)
% 0.20/0.44      | ~ element(sk3_esk1_0,the_carrier(X1))
% 0.20/0.44      | ~ element(X2,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | ~ relstr_element_smaller(X1,X0,X2)
% 0.20/0.44      | related(X1,X2,sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_169,c_158]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_179,plain,
% 0.20/0.44      ( ~ in(sk3_esk1_0,X0)
% 0.20/0.44      | ~ element(sk3_esk1_0,the_carrier(X1))
% 0.20/0.44      | ~ element(X2,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | ~ relstr_element_smaller(X1,X0,X2)
% 0.20/0.44      | related(X1,X2,sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_176]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_28,plain,
% 0.20/0.44      ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.44      | ~ element(X3,the_carrier(X0))
% 0.20/0.44      | ~ in(X3,X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | related(X0,X3,X2)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_60_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_159,plain,
% 0.20/0.44      ( ~ relstr_set_smaller(X0,X1,X2)
% 0.20/0.44      | ~ element(X3,the_carrier(X0))
% 0.20/0.44      | ~ in(X3,X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | related(X0,X3,X2)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_160,plain,
% 0.20/0.44      ( ~ in(X0,X1)
% 0.20/0.44      | ~ element(X0,the_carrier(X2))
% 0.20/0.44      | ~ element(X3,the_carrier(X2))
% 0.20/0.44      | ~ rel_str(X2)
% 0.20/0.44      | ~ relstr_set_smaller(X2,X1,X3)
% 0.20/0.44      | related(X2,X0,X3) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_159]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_175,plain,
% 0.20/0.44      ( ~ in(sk3_esk1_0,X0)
% 0.20/0.44      | ~ element(sk3_esk1_0,the_carrier(X1))
% 0.20/0.44      | ~ element(X2,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | ~ relstr_set_smaller(X1,X0,X2)
% 0.20/0.44      | related(X1,sk3_esk1_0,X2) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_169,c_160]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_180,plain,
% 0.20/0.44      ( ~ in(sk3_esk1_0,X0)
% 0.20/0.44      | ~ element(sk3_esk1_0,the_carrier(X1))
% 0.20/0.44      | ~ element(X2,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | ~ relstr_set_smaller(X1,X0,X2)
% 0.20/0.44      | related(X1,sk3_esk1_0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_175]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_29,plain,
% 0.20/0.44      ( ~ related(X0,X1,sk1_esk1_3(X0,X2,X1))
% 0.20/0.44      | ~ element(X1,the_carrier(X0))
% 0.20/0.44      | relstr_element_smaller(X0,X2,X1)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_59_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_161,plain,
% 0.20/0.44      ( ~ related(X0,X1,sk1_esk1_3(X0,X2,X1))
% 0.20/0.44      | ~ element(X1,the_carrier(X0))
% 0.20/0.44      | relstr_element_smaller(X0,X2,X1)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_162,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | relstr_element_smaller(X1,X2,X0)
% 0.20/0.44      | ~ related(X1,X0,sk1_esk1_3(X1,X2,X0)) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_161]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_174,plain,
% 0.20/0.44      ( ~ element(sk3_esk1_0,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_element_smaller(X0,X1,sk3_esk1_0)
% 0.20/0.44      | ~ related(X0,sk3_esk1_0,sk1_esk1_3(X0,X1,sk3_esk1_0)) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_169,c_162]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_181,plain,
% 0.20/0.44      ( ~ element(sk3_esk1_0,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_element_smaller(X0,X1,sk3_esk1_0)
% 0.20/0.44      | ~ related(X0,sk3_esk1_0,sk1_esk1_3(X0,X1,sk3_esk1_0)) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_174]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_30,plain,
% 0.20/0.44      ( ~ related(X0,sk1_esk2_3(X0,X1,X2),X2)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | relstr_set_smaller(X0,X1,X2)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_58_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_163,plain,
% 0.20/0.44      ( ~ related(X0,sk1_esk2_3(X0,X1,X2),X2)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | relstr_set_smaller(X0,X1,X2)
% 0.20/0.44      | ~ rel_str(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_164,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | ~ rel_str(X1)
% 0.20/0.44      | relstr_set_smaller(X1,X2,X0)
% 0.20/0.44      | ~ related(X1,sk1_esk2_3(X1,X2,X0),X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_163]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_173,plain,
% 0.20/0.44      ( ~ element(sk3_esk1_0,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_set_smaller(X0,X1,sk3_esk1_0)
% 0.20/0.44      | ~ related(X0,sk1_esk2_3(X0,X1,sk3_esk1_0),sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_169,c_164]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_182,plain,
% 0.20/0.44      ( ~ element(sk3_esk1_0,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_set_smaller(X0,X1,sk3_esk1_0)
% 0.20/0.44      | ~ related(X0,sk1_esk2_3(X0,X1,sk3_esk1_0),sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_173]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_26,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | element(sk1_esk2_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.44      | relstr_set_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_62_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_155,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | element(sk1_esk2_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.44      | relstr_set_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_156,plain,
% 0.20/0.44      ( element(sk1_esk2_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_set_smaller(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_155]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_25,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | element(sk1_esk1_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.44      | relstr_element_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_63_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_153,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | element(sk1_esk1_3(X1,X2,X0),the_carrier(X1))
% 0.20/0.44      | relstr_element_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_154,plain,
% 0.20/0.44      ( element(sk1_esk1_3(X0,X1,X2),the_carrier(X0))
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_element_smaller(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_153]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_24,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | in(sk1_esk2_3(X1,X2,X0),X2)
% 0.20/0.44      | relstr_set_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_64_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_151,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | in(sk1_esk2_3(X1,X2,X0),X2)
% 0.20/0.44      | relstr_set_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_152,plain,
% 0.20/0.44      ( in(sk1_esk2_3(X0,X1,X2),X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_set_smaller(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_151]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_23,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | in(sk1_esk1_3(X1,X2,X0),X2)
% 0.20/0.44      | relstr_element_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_65_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_149,plain,
% 0.20/0.44      ( ~ element(X0,the_carrier(X1))
% 0.20/0.44      | in(sk1_esk1_3(X1,X2,X0),X2)
% 0.20/0.44      | relstr_element_smaller(X1,X2,X0)
% 0.20/0.44      | ~ rel_str(X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_150,plain,
% 0.20/0.44      ( in(sk1_esk1_3(X0,X1,X2),X1)
% 0.20/0.44      | ~ element(X2,the_carrier(X0))
% 0.20/0.44      | ~ rel_str(X0)
% 0.20/0.44      | relstr_element_smaller(X0,X1,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_149]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_20,plain,
% 0.20/0.44      ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_68_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_143,plain,
% 0.20/0.44      ( element(X0,X1) | ~ in(X0,X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_144,plain,
% 0.20/0.44      ( ~ in(X0,X1) | element(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_143]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_18,plain,
% 0.20/0.44      ( finite(X0) | ~ empty(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_70_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_139,plain,
% 0.20/0.44      ( finite(X0) | ~ empty(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_140,plain,
% 0.20/0.44      ( ~ empty(X0) | finite(X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_139]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_17,plain,
% 0.20/0.44      ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_71_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_137,plain,
% 0.20/0.44      ( X0 = empty_set | ~ empty(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_138,plain,
% 0.20/0.44      ( ~ empty(X0) | X0 = empty_set ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_137]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_4,plain,
% 0.20/0.44      ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_35_2) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_111,plain,
% 0.20/0.44      ( X0 = X1 | ~ empty(X1) | ~ empty(X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_112,plain,
% 0.20/0.44      ( ~ empty(X0) | ~ empty(X1) | X1 = X0 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_111]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_31,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_6) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_48,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_60,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_65,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_66,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_165,negated_conjecture,
% 0.20/0.44      ( ~ relstr_element_smaller(sk3_esk1_0,empty_set,sk3_esk2_0)
% 0.20/0.44      | ~ relstr_set_smaller(sk3_esk1_0,empty_set,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_16,plain,
% 0.20/0.44      ( empty(empty_set) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_72_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_135,plain,( empty(empty_set) ),inference(copy,[status(esa)],[c_16]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_12,plain,
% 0.20/0.44      ( $true ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_76_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_127,plain,( $true ),inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_11,plain,
% 0.20/0.44      ( empty(sk2_esk2_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_41_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_125,plain,( empty(sk2_esk2_0) ),inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_10,plain,
% 0.20/0.44      ( finite(sk2_esk3_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_40_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_123,plain,
% 0.20/0.44      ( finite(sk2_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_9,plain,
% 0.20/0.44      ( one_sorted_str(sk2_esk5_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_39_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_121,plain,
% 0.20/0.44      ( one_sorted_str(sk2_esk5_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_8,plain,
% 0.20/0.44      ( rel_str(sk2_esk6_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_38_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_119,plain,
% 0.20/0.44      ( rel_str(sk2_esk6_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_7,plain,
% 0.20/0.44      ( element(sk2_esk4_1(X0),X0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_34_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_117,plain,
% 0.20/0.44      ( element(sk2_esk4_1(X0),X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_6,plain,
% 0.20/0.44      ( ~ empty(sk2_esk1_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_37_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_115,plain,
% 0.20/0.44      ( ~ empty(sk2_esk1_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_5,plain,
% 0.20/0.44      ( ~ empty(sk2_esk3_0) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_36_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_113,plain,
% 0.20/0.44      ( ~ empty(sk2_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_2,plain,
% 0.20/0.44      ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_35_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_107,plain,
% 0.20/0.44      ( ~ empty(X0) | ~ empty(X1) | X0 = X1 ),
% 0.20/0.44      inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_0,plain,
% 0.20/0.44      ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.44      file('/export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p', c_0_33_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_103,plain,
% 0.20/0.44      ( ~ in(X0,X1) | ~ empty(X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_104,plain,
% 0.20/0.44      ( ~ empty(X0) | ~ in(X1,X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_103]) ).
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------                             Statistics
% 0.20/0.44  
% 0.20/0.44  % ------ General
% 0.20/0.44  
% 0.20/0.44  % num_of_input_clauses:                 34
% 0.20/0.44  % num_of_input_neg_conjectures:         3
% 0.20/0.44  % num_of_splits:                        0
% 0.20/0.44  % num_of_split_atoms:                   0
% 0.20/0.44  % num_of_sem_filtered_clauses:          0
% 0.20/0.44  % num_of_subtypes:                      0
% 0.20/0.44  % monotx_restored_types:                0
% 0.20/0.44  % sat_num_of_epr_types:                 0
% 0.20/0.44  % sat_num_of_non_cyclic_types:          0
% 0.20/0.44  % sat_guarded_non_collapsed_types:      0
% 0.20/0.44  % is_epr:                               0
% 0.20/0.44  % is_horn:                              0
% 0.20/0.44  % has_eq:                               1
% 0.20/0.44  % num_pure_diseq_elim:                  0
% 0.20/0.44  % simp_replaced_by:                     0
% 0.20/0.44  % res_preprocessed:                     6
% 0.20/0.44  % prep_upred:                           0
% 0.20/0.44  % prep_unflattend:                      0
% 0.20/0.44  % pred_elim_cands:                      0
% 0.20/0.44  % pred_elim:                            0
% 0.20/0.44  % pred_elim_cl:                         0
% 0.20/0.44  % pred_elim_cycles:                     0
% 0.20/0.44  % forced_gc_time:                       0
% 0.20/0.44  % gc_basic_clause_elim:                 0
% 0.20/0.44  % parsing_time:                         0.001
% 0.20/0.44  % sem_filter_time:                      0.
% 0.20/0.44  % pred_elim_time:                       0.
% 0.20/0.44  % out_proof_time:                       0.
% 0.20/0.44  % monotx_time:                          0.
% 0.20/0.44  % subtype_inf_time:                     0.
% 0.20/0.44  % unif_index_cands_time:                0.
% 0.20/0.44  % unif_index_add_time:                  0.
% 0.20/0.44  % total_time:                           0.03
% 0.20/0.44  % num_of_symbols:                       46
% 0.20/0.44  % num_of_terms:                         198
% 0.20/0.44  
% 0.20/0.44  % ------ Propositional Solver
% 0.20/0.44  
% 0.20/0.44  % prop_solver_calls:                    1
% 0.20/0.44  % prop_fast_solver_calls:               12
% 0.20/0.44  % prop_num_of_clauses:                  43
% 0.20/0.44  % prop_preprocess_simplified:           89
% 0.20/0.44  % prop_fo_subsumed:                     0
% 0.20/0.44  % prop_solver_time:                     0.
% 0.20/0.44  % prop_fast_solver_time:                0.
% 0.20/0.44  % prop_unsat_core_time:                 0.
% 0.20/0.44  
% 0.20/0.44  % ------ QBF 
% 0.20/0.44  
% 0.20/0.44  % qbf_q_res:                            0
% 0.20/0.44  % qbf_num_tautologies:                  0
% 0.20/0.44  % qbf_prep_cycles:                      0
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1
% 0.20/0.44  
% 0.20/0.44  % bmc1_current_bound:                   -1
% 0.20/0.44  % bmc1_last_solved_bound:               -1
% 0.20/0.44  % bmc1_unsat_core_size:                 -1
% 0.20/0.44  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.44  % bmc1_merge_next_fun:                  0
% 0.20/0.44  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation
% 0.20/0.44  
% 0.20/0.44  % inst_num_of_clauses:                  31
% 0.20/0.44  % inst_num_in_passive:                  0
% 0.20/0.44  % inst_num_in_active:                   0
% 0.20/0.44  % inst_num_in_unprocessed:              34
% 0.20/0.44  % inst_num_of_loops:                    0
% 0.20/0.44  % inst_num_of_learning_restarts:        0
% 0.20/0.44  % inst_num_moves_active_passive:        0
% 0.20/0.44  % inst_lit_activity:                    0
% 0.20/0.44  % inst_lit_activity_moves:              0
% 0.20/0.44  % inst_num_tautologies:                 0
% 0.20/0.44  % inst_num_prop_implied:                0
% 0.20/0.44  % inst_num_existing_simplified:         0
% 0.20/0.44  % inst_num_eq_res_simplified:           0
% 0.20/0.44  % inst_num_child_elim:                  0
% 0.20/0.44  % inst_num_of_dismatching_blockings:    0
% 0.20/0.44  % inst_num_of_non_proper_insts:         0
% 0.20/0.44  % inst_num_of_duplicates:               0
% 0.20/0.44  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.44  % inst_dismatching_checking_time:       0.
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution
% 0.20/0.44  
% 0.20/0.44  % res_num_of_clauses:                   51
% 0.20/0.44  % res_num_in_passive:                   0
% 0.20/0.44  % res_num_in_active:                    36
% 0.20/0.44  % res_num_of_loops:                     15
% 0.20/0.44  % res_forward_subset_subsumed:          6
% 0.20/0.44  % res_backward_subset_subsumed:         0
% 0.20/0.44  % res_forward_subsumed:                 4
% 0.20/0.44  % res_backward_subsumed:                0
% 0.20/0.44  % res_forward_subsumption_resolution:   0
% 0.20/0.44  % res_backward_subsumption_resolution:  0
% 0.20/0.44  % res_clause_to_clause_subsumption:     15
% 0.20/0.44  % res_orphan_elimination:               0
% 0.20/0.44  % res_tautology_del:                    0
% 0.20/0.44  % res_num_eq_res_simplified:            0
% 0.20/0.44  % res_num_sel_changes:                  0
% 0.20/0.44  % res_moves_from_active_to_pass:        0
% 0.20/0.44  
% 0.20/0.44  % Status Unknown
% 0.20/0.48  % Orienting using strategy ClausalAll
% 0.20/0.48  % FOF problem with conjecture
% 0.20/0.48  % 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/sandbox2/tmp/iprover_proof_aa6d61.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_35fdcf.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_6dc832 | grep -v "SZS"
% 0.20/0.51  
% 0.20/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------  iProver source info 
% 0.20/0.51  
% 0.20/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51  % git: non_committed_changes: true
% 0.20/0.51  % git: last_make_outside_of_git: true
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 0.20/0.51  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.51  % --bmc1_dump_file                      -
% 0.20/0.51  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.51  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.51  % --bmc1_ucm_extend_mode                1
% 0.20/0.51  % --bmc1_ucm_init_mode                  2
% 0.20/0.51  % --bmc1_ucm_cone_mode                  none
% 0.20/0.51  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.51  % --bmc1_ucm_relax_model                4
% 0.20/0.51  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.51  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.51  % --bmc1_ucm_layered_model              none
% 0.20/0.51  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.51  
% 0.20/0.51  % ------ AIG Options
% 0.20/0.51  
% 0.20/0.51  % --aig_mode                            false
% 0.20/0.51  
% 0.20/0.51  % ------ Instantiation Options
% 0.20/0.51  
% 0.20/0.51  % --instantiation_flag                  true
% 0.20/0.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.51  % --inst_solver_per_active              750
% 0.20/0.51  % --inst_solver_calls_frac              0.5
% 0.20/0.51  % --inst_passive_queue_type             priority_queues
% 0.20/0.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.51  % --inst_passive_queues_freq            [25;2]
% 0.20/0.51  % --inst_dismatching                    true
% 0.20/0.51  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.51  % --inst_prop_sim_given                 true
% 0.20/0.51  % --inst_prop_sim_new                   false
% 0.20/0.51  % --inst_orphan_elimination             true
% 0.20/0.51  % --inst_learning_loop_flag             true
% 0.20/0.51  % --inst_learning_start                 3000
% 0.20/0.51  % --inst_learning_factor                2
% 0.20/0.51  % --inst_start_prop_sim_after_learn     3
% 0.20/0.51  % --inst_sel_renew                      solver
% 0.20/0.51  % --inst_lit_activity_flag              true
% 0.20/0.51  % --inst_out_proof                      true
% 0.20/0.51  
% 0.20/0.51  % ------ Resolution Options
% 0.20/0.51  
% 0.20/0.51  % --resolution_flag                     true
% 0.20/0.51  % --res_lit_sel                         kbo_max
% 0.20/0.51  % --res_to_prop_solver                  none
% 0.20/0.51  % --res_prop_simpl_new                  false
% 0.20/0.51  % --res_prop_simpl_given                false
% 0.20/0.51  % --res_passive_queue_type              priority_queues
% 0.20/0.51  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.51  % --res_passive_queues_freq             [15;5]
% 0.20/0.51  % --res_forward_subs                    full
% 0.20/0.51  % --res_backward_subs                   full
% 0.20/0.51  % --res_forward_subs_resolution         true
% 0.20/0.51  % --res_backward_subs_resolution        true
% 0.20/0.51  % --res_orphan_elimination              false
% 0.20/0.51  % --res_time_limit                      1000.
% 0.20/0.51  % --res_out_proof                       true
% 0.20/0.51  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_aa6d61.s
% 0.20/0.51  % --modulo                              true
% 0.20/0.51  
% 0.20/0.51  % ------ Combination Options
% 0.20/0.51  
% 0.20/0.51  % --comb_res_mult                       1000
% 0.20/0.51  % --comb_inst_mult                      300
% 0.20/0.51  % ------ 
% 0.20/0.51  
% 0.20/0.51  % ------ Parsing...% successful
% 0.20/0.51  
% 0.20/0.51  % ------ 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 % 
% 0.20/0.51  
% 0.20/0.51  % ------ Proving...
% 0.20/0.51  % ------ Problem Properties 
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % EPR                                   false
% 0.20/0.51  % Horn                                  false
% 0.20/0.51  % Has equality                          true
% 0.20/0.51  
% 0.20/0.51  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.51  
% 0.20/0.51  
% 0.20/0.51  % % ------ Current options:
% 0.20/0.51  
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 0.20/0.51  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.51  % --bmc1_dump_file                      -
% 0.20/0.51  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.51  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.51  % --bmc1_ucm_extend_mode                1
% 0.20/0.51  % --bmc1_ucm_init_mode                  2
% 0.20/0.51  % --bmc1_ucm_cone_mode                  none
% 0.20/0.51  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.51  % --bmc1_ucm_relax_model                4
% 0.20/0.51  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.51  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.51  % --bmc1_ucm_layered_model              none
% 0.20/0.51  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.51  
% 0.20/0.51  % ------ AIG Options
% 0.20/0.51  
% 0.20/0.51  % --aig_mode                            false
% 0.20/0.51  
% 0.20/0.51  % ------ Instantiation Options
% 0.20/0.51  
% 0.20/0.51  % --instantiation_flag                  true
% 0.20/0.51  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.51  % --inst_solver_per_active              750
% 0.20/0.51  % --inst_solver_calls_frac              0.5
% 0.20/0.51  % --inst_passive_queue_type             priority_queues
% 0.20/0.51  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.51  % --inst_passive_queues_freq            [25;2]
% 0.20/0.51  % --inst_dismatching                    true
% 0.20/0.51  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.51  % --inst_prop_sim_given                 true
% 1.00/1.22  % --inst_prop_sim_new                   false
% 1.00/1.22  % --inst_orphan_elimination             true
% 1.00/1.22  % --inst_learning_loop_flag             true
% 1.00/1.22  % --inst_learning_start                 3000
% 1.00/1.22  % --inst_learning_factor                2
% 1.00/1.22  % --inst_start_prop_sim_after_learn     3
% 1.00/1.22  % --inst_sel_renew                      solver
% 1.00/1.22  % --inst_lit_activity_flag              true
% 1.00/1.22  % --inst_out_proof                      true
% 1.00/1.22  
% 1.00/1.22  % ------ Resolution Options
% 1.00/1.22  
% 1.00/1.22  % --resolution_flag                     true
% 1.00/1.22  % --res_lit_sel                         kbo_max
% 1.00/1.22  % --res_to_prop_solver                  none
% 1.00/1.22  % --res_prop_simpl_new                  false
% 1.00/1.22  % --res_prop_simpl_given                false
% 1.00/1.22  % --res_passive_queue_type              priority_queues
% 1.00/1.22  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.00/1.22  % --res_passive_queues_freq             [15;5]
% 1.00/1.22  % --res_forward_subs                    full
% 1.00/1.22  % --res_backward_subs                   full
% 1.00/1.22  % --res_forward_subs_resolution         true
% 1.00/1.22  % --res_backward_subs_resolution        true
% 1.00/1.22  % --res_orphan_elimination              false
% 1.00/1.22  % --res_time_limit                      1000.
% 1.00/1.22  % --res_out_proof                       true
% 1.00/1.22  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_aa6d61.s
% 1.00/1.22  % --modulo                              true
% 1.00/1.22  
% 1.00/1.22  % ------ Combination Options
% 1.00/1.22  
% 1.00/1.22  % --comb_res_mult                       1000
% 1.00/1.22  % --comb_inst_mult                      300
% 1.00/1.22  % ------ 
% 1.00/1.22  
% 1.00/1.22  
% 1.00/1.22  
% 1.00/1.22  % ------ Proving...
% 1.00/1.22  % 
% 1.00/1.22  
% 1.00/1.22  
% 1.00/1.22  % ------                             Statistics
% 1.00/1.22  
% 1.00/1.22  % ------ General
% 1.00/1.22  
% 1.00/1.22  % num_of_input_clauses:                 69
% 1.00/1.22  % num_of_input_neg_conjectures:         3
% 1.00/1.22  % num_of_splits:                        0
% 1.00/1.22  % num_of_split_atoms:                   0
% 1.00/1.22  % num_of_sem_filtered_clauses:          0
% 1.00/1.22  % num_of_subtypes:                      0
% 1.00/1.22  % monotx_restored_types:                0
% 1.00/1.22  % sat_num_of_epr_types:                 0
% 1.00/1.22  % sat_num_of_non_cyclic_types:          0
% 1.00/1.22  % sat_guarded_non_collapsed_types:      0
% 1.00/1.22  % is_epr:                               0
% 1.00/1.22  % is_horn:                              0
% 1.00/1.22  % has_eq:                               1
% 1.00/1.22  % num_pure_diseq_elim:                  0
% 1.00/1.22  % simp_replaced_by:                     0
% 1.00/1.22  % res_preprocessed:                     6
% 1.00/1.22  % prep_upred:                           0
% 1.00/1.22  % prep_unflattend:                      0
% 1.00/1.22  % pred_elim_cands:                      0
% 1.00/1.22  % pred_elim:                            0
% 1.00/1.22  % pred_elim_cl:                         0
% 1.00/1.22  % pred_elim_cycles:                     0
% 1.00/1.22  % forced_gc_time:                       0
% 1.00/1.22  % gc_basic_clause_elim:                 0
% 1.00/1.22  % parsing_time:                         0.002
% 1.00/1.22  % sem_filter_time:                      0.
% 1.00/1.22  % pred_elim_time:                       0.
% 1.00/1.22  % out_proof_time:                       0.
% 1.00/1.22  % monotx_time:                          0.
% 1.00/1.22  % subtype_inf_time:                     0.
% 1.00/1.22  % unif_index_cands_time:                0.
% 1.00/1.22  % unif_index_add_time:                  0.001
% 1.00/1.22  % total_time:                           0.73
% 1.00/1.22  % num_of_symbols:                       46
% 1.00/1.22  % num_of_terms:                         8242
% 1.00/1.22  
% 1.00/1.22  % ------ Propositional Solver
% 1.00/1.22  
% 1.00/1.22  % prop_solver_calls:                    5
% 1.00/1.22  % prop_fast_solver_calls:               12
% 1.00/1.22  % prop_num_of_clauses:                  227
% 1.00/1.22  % prop_preprocess_simplified:           530
% 1.00/1.22  % prop_fo_subsumed:                     0
% 1.00/1.22  % prop_solver_time:                     0.
% 1.00/1.22  % prop_fast_solver_time:                0.
% 1.00/1.22  % prop_unsat_core_time:                 0.
% 1.00/1.22  
% 1.00/1.22  % ------ QBF 
% 1.00/1.22  
% 1.00/1.22  % qbf_q_res:                            0
% 1.00/1.22  % qbf_num_tautologies:                  0
% 1.00/1.22  % qbf_prep_cycles:                      0
% 1.00/1.22  
% 1.00/1.22  % ------ BMC1
% 1.00/1.22  
% 1.00/1.22  % bmc1_current_bound:                   -1
% 1.00/1.22  % bmc1_last_solved_bound:               -1
% 1.00/1.22  % bmc1_unsat_core_size:                 -1
% 1.00/1.22  % bmc1_unsat_core_parents_size:         -1
% 1.00/1.22  % bmc1_merge_next_fun:                  0
% 1.00/1.22  % bmc1_unsat_core_clauses_time:         0.
% 1.00/1.22  
% 1.00/1.22  % ------ Instantiation
% 1.00/1.22  
% 1.00/1.22  % inst_num_of_clauses:                  168
% 1.00/1.22  % inst_num_in_passive:                  44
% 1.00/1.22  % inst_num_in_active:                   106
% 1.00/1.22  % inst_num_in_unprocessed:              16
% 1.00/1.22  % inst_num_of_loops:                    114
% 1.00/1.22  % inst_num_of_learning_restarts:        0
% 1.00/1.22  % inst_num_moves_active_passive:        4
% 1.00/1.22  % inst_lit_activity:                    41
% 1.00/1.22  % inst_lit_activity_moves:              0
% 1.00/1.22  % inst_num_tautologies:                 0
% 1.00/1.22  % inst_num_prop_implied:                0
% 1.00/1.22  % inst_num_existing_simplified:         0
% 1.00/1.22  % inst_num_eq_res_simplified:           0
% 1.00/1.22  % inst_num_child_elim:                  0
% 1.00/1.22  % inst_num_of_dismatching_blockings:    0
% 1.00/1.22  % inst_num_of_non_proper_insts:         73
% 1.00/1.22  % inst_num_of_duplicates:               73
% 1.00/1.22  % inst_inst_num_from_inst_to_res:       0
% 1.00/1.22  % inst_dismatching_checking_time:       0.
% 1.00/1.22  
% 1.00/1.22  % ------ Resolution
% 1.00/1.22  
% 1.00/1.22  % res_num_of_clauses:                   1091
% 1.00/1.22  % res_num_in_passive:                   679
% 1.00/1.22  % res_num_in_active:                    366
% 1.00/1.22  % res_num_of_loops:                     1000
% 1.00/1.22  % res_forward_subset_subsumed:          38
% 1.00/1.22  % res_backward_subset_subsumed:         0
% 1.00/1.22  % res_forward_subsumed:                 662
% 1.00/1.22  % res_backward_subsumed:                0
% 1.00/1.22  % res_forward_subsumption_resolution:   334
% 1.00/1.22  % res_backward_subsumption_resolution:  0
% 1.00/1.22  % res_clause_to_clause_subsumption:     19111
% 1.00/1.22  % res_orphan_elimination:               0
% 1.00/1.22  % res_tautology_del:                    0
% 1.00/1.22  % res_num_eq_res_simplified:            0
% 1.00/1.22  % res_num_sel_changes:                  0
% 1.00/1.22  % res_moves_from_active_to_pass:        0
% 1.00/1.22  
% 1.00/1.22  % Status Unsatisfiable
% 1.00/1.22  % SZS status Theorem
% 1.00/1.22  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------