TSTP Solution File: SET677+3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 02:15:19 EDT 2022

% Result   : Theorem 3.45s 3.63s
% Output   : CNFRefutation 3.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   43
% Syntax   : Number of formulae    :  503 (  25 unt;   0 def)
%            Number of atoms       : 2092 ( 119 equ)
%            Maximal formula atoms :   26 (   4 avg)
%            Number of connectives : 2875 (1286   ~;1356   |;  59   &)
%                                         (  22 <=>; 152  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   44 (  44 usr;   8 con; 0-3 aty)
%            Number of variables   : 1028 (   5 sgn 210   !;  14   ?)

% 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] :
      ( ilf_type(X1,binary_relation_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,set_type)
                   => ( member(ordered_pair(X3,X4),X1)
                     => member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
    file('<stdin>',p7) ).

fof(c_0_1,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ( subset(identity_relation_of(X2),X3)
               => ( subset(X2,domain(X1,X2,X3))
                  & X2 = range(X1,X2,X3) ) ) ) ) ),
    file('<stdin>',p2) ).

fof(c_0_2,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X2,X1))
             => ( subset(identity_relation_of(X2),X3)
               => ( X2 = domain(X2,X1,X3)
                  & subset(X2,range(X2,X1,X3)) ) ) ) ) ),
    file('<stdin>',p1) ).

fof(c_0_3,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
    file('<stdin>',p33) ).

fof(c_0_4,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
    file('<stdin>',p31) ).

fof(c_0_5,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) )
            & ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
    file('<stdin>',p14) ).

fof(c_0_6,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => range(X1,X2,X3) = range_of(X3) ) ) ),
    file('<stdin>',p32) ).

fof(c_0_7,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => domain(X1,X2,X3) = domain_of(X3) ) ) ),
    file('<stdin>',p30) ).

fof(c_0_8,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,subset_type(cross_product(X1,X2)))
             => relation_like(X3) ) ) ),
    file('<stdin>',p27) ).

fof(c_0_9,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(ordered_pair(X2,X3),identity_relation_of(X1))
              <=> ( member(X2,X1)
                  & X2 = X3 ) ) ) ) ),
    file('<stdin>',p3) ).

fof(c_0_10,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( relation_like(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ( member(X2,X1)
             => ? [X3] :
                  ( ilf_type(X3,set_type)
                  & ? [X4] :
                      ( ilf_type(X4,set_type)
                      & X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
    file('<stdin>',p26) ).

fof(c_0_11,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X1,power_set(X2))
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('<stdin>',p22) ).

fof(c_0_12,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,identity_relation_of_type(X1))
          <=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
    file('<stdin>',p5) ).

fof(c_0_13,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    file('<stdin>',p18) ).

fof(c_0_14,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,subset_type(X1))
          <=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
    file('<stdin>',p16) ).

fof(c_0_15,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ? [X3] : ilf_type(X3,relation_type(X2,X1)) ) ),
    file('<stdin>',p15) ).

fof(c_0_16,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    file('<stdin>',p24) ).

fof(c_0_17,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( X1 = X2
          <=> ( subset(X1,X2)
              & subset(X2,X1) ) ) ) ),
    file('<stdin>',p8) ).

fof(c_0_18,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ilf_type(cross_product(X1,X2),set_type) ) ),
    file('<stdin>',p21) ).

fof(c_0_19,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ilf_type(ordered_pair(X1,X2),set_type) ) ),
    file('<stdin>',p11) ).

fof(c_0_20,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    file('<stdin>',p28) ).

fof(c_0_21,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( relation_like(X1)
          & ilf_type(X1,set_type) ) ) ),
    file('<stdin>',p12) ).

fof(c_0_22,axiom,
    ! [X1] :
      ( ( ~ empty(X1)
        & ilf_type(X1,set_type) )
     => ? [X2] : ilf_type(X2,member_type(X1)) ),
    file('<stdin>',p25) ).

fof(c_0_23,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ? [X2] : ilf_type(X2,subset_type(X1)) ),
    file('<stdin>',p17) ).

fof(c_0_24,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ? [X2] : ilf_type(X2,identity_relation_of_type(X1)) ),
    file('<stdin>',p6) ).

fof(c_0_25,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ~ empty(power_set(X1))
        & ilf_type(power_set(X1),set_type) ) ),
    file('<stdin>',p23) ).

fof(c_0_26,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ilf_type(range_of(X1),set_type) ),
    file('<stdin>',p10) ).

fof(c_0_27,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ilf_type(domain_of(X1),set_type) ),
    file('<stdin>',p9) ).

fof(c_0_28,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ilf_type(identity_relation_of(X1),binary_relation_type) ),
    file('<stdin>',p4) ).

fof(c_0_29,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => subset(X1,X1) ),
    file('<stdin>',p20) ).

fof(c_0_30,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => subset(X1,X1) ),
    file('<stdin>',p19) ).

fof(c_0_31,axiom,
    ! [X1] :
      ( ( empty(X1)
        & ilf_type(X1,set_type) )
     => relation_like(X1) ),
    file('<stdin>',p29) ).

fof(c_0_32,axiom,
    ! [X1] : ilf_type(X1,set_type),
    file('<stdin>',p34) ).

fof(c_0_33,axiom,
    ? [X1] : ilf_type(X1,binary_relation_type),
    file('<stdin>',p13) ).

fof(c_0_34,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ! [X2] :
          ( ilf_type(X2,binary_relation_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ! [X4] :
                    ( ilf_type(X4,set_type)
                   => ( member(ordered_pair(X3,X4),X1)
                     => member(ordered_pair(X3,X4),X2) ) ) ) ) ) ),
    c_0_0 ).

fof(c_0_35,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ( subset(identity_relation_of(X2),X3)
               => ( subset(X2,domain(X1,X2,X3))
                  & X2 = range(X1,X2,X3) ) ) ) ) ),
    c_0_1 ).

fof(c_0_36,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X2,X1))
             => ( subset(identity_relation_of(X2),X3)
               => ( X2 = domain(X2,X1,X3)
                  & subset(X2,range(X2,X1,X3)) ) ) ) ) ),
    c_0_2 ).

fof(c_0_37,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ilf_type(range(X1,X2,X3),subset_type(X2)) ) ) ),
    c_0_3 ).

fof(c_0_38,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => ilf_type(domain(X1,X2,X3),subset_type(X1)) ) ) ),
    c_0_4 ).

fof(c_0_39,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ! [X3] :
                ( ilf_type(X3,subset_type(cross_product(X1,X2)))
               => ilf_type(X3,relation_type(X1,X2)) )
            & ! [X4] :
                ( ilf_type(X4,relation_type(X1,X2))
               => ilf_type(X4,subset_type(cross_product(X1,X2))) ) ) ) ),
    c_0_5 ).

fof(c_0_40,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => range(X1,X2,X3) = range_of(X3) ) ) ),
    c_0_6 ).

fof(c_0_41,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,relation_type(X1,X2))
             => domain(X1,X2,X3) = domain_of(X3) ) ) ),
    c_0_7 ).

fof(c_0_42,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,subset_type(cross_product(X1,X2)))
             => relation_like(X3) ) ) ),
    c_0_8 ).

fof(c_0_43,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ! [X3] :
              ( ilf_type(X3,set_type)
             => ( member(ordered_pair(X2,X3),identity_relation_of(X1))
              <=> ( member(X2,X1)
                  & X2 = X3 ) ) ) ) ),
    c_0_9 ).

fof(c_0_44,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( relation_like(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ( member(X2,X1)
             => ? [X3] :
                  ( ilf_type(X3,set_type)
                  & ? [X4] :
                      ( ilf_type(X4,set_type)
                      & X2 = ordered_pair(X3,X4) ) ) ) ) ) ),
    c_0_10 ).

fof(c_0_45,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( member(X1,power_set(X2))
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    c_0_11 ).

fof(c_0_46,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,identity_relation_of_type(X1))
          <=> ilf_type(X2,relation_type(X1,X1)) ) ) ),
    c_0_12 ).

fof(c_0_47,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( subset(X1,X2)
          <=> ! [X3] :
                ( ilf_type(X3,set_type)
               => ( member(X3,X1)
                 => member(X3,X2) ) ) ) ) ),
    c_0_13 ).

fof(c_0_48,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( ilf_type(X2,subset_type(X1))
          <=> ilf_type(X2,member_type(power_set(X1))) ) ) ),
    c_0_14 ).

fof(c_0_49,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ? [X3] : ilf_type(X3,relation_type(X2,X1)) ) ),
    c_0_15 ).

fof(c_0_50,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ( ~ empty(X2)
            & ilf_type(X2,set_type) )
         => ( ilf_type(X1,member_type(X2))
          <=> member(X1,X2) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_51,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ( X1 = X2
          <=> ( subset(X1,X2)
              & subset(X2,X1) ) ) ) ),
    c_0_17 ).

fof(c_0_52,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ilf_type(cross_product(X1,X2),set_type) ) ),
    c_0_18 ).

fof(c_0_53,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,set_type)
         => ilf_type(ordered_pair(X1,X2),set_type) ) ),
    c_0_19 ).

fof(c_0_54,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( empty(X1)
      <=> ! [X2] :
            ( ilf_type(X2,set_type)
           => ~ member(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_55,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ilf_type(X1,binary_relation_type)
      <=> ( relation_like(X1)
          & ilf_type(X1,set_type) ) ) ),
    c_0_21 ).

fof(c_0_56,plain,
    ! [X1] :
      ( ( ~ empty(X1)
        & ilf_type(X1,set_type) )
     => ? [X2] : ilf_type(X2,member_type(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_57,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ? [X2] : ilf_type(X2,subset_type(X1)) ),
    c_0_23 ).

fof(c_0_58,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ? [X2] : ilf_type(X2,identity_relation_of_type(X1)) ),
    c_0_24 ).

fof(c_0_59,plain,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ( ~ empty(power_set(X1))
        & ilf_type(power_set(X1),set_type) ) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_60,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ilf_type(range_of(X1),set_type) ),
    c_0_26 ).

fof(c_0_61,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => ilf_type(domain_of(X1),set_type) ),
    c_0_27 ).

fof(c_0_62,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ilf_type(identity_relation_of(X1),binary_relation_type) ),
    c_0_28 ).

fof(c_0_63,axiom,
    ! [X1] :
      ( ilf_type(X1,binary_relation_type)
     => subset(X1,X1) ),
    c_0_29 ).

fof(c_0_64,axiom,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => subset(X1,X1) ),
    c_0_30 ).

fof(c_0_65,axiom,
    ! [X1] :
      ( ( empty(X1)
        & ilf_type(X1,set_type) )
     => relation_like(X1) ),
    c_0_31 ).

fof(c_0_66,axiom,
    ! [X1] : ilf_type(X1,set_type),
    c_0_32 ).

fof(c_0_67,axiom,
    ? [X1] : ilf_type(X1,binary_relation_type),
    c_0_33 ).

fof(c_0_68,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ subset(X5,X6)
        | ~ ilf_type(X7,set_type)
        | ~ ilf_type(X8,set_type)
        | ~ member(ordered_pair(X7,X8),X5)
        | member(ordered_pair(X7,X8),X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ilf_type(esk2_2(X5,X6),set_type)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ilf_type(esk3_2(X5,X6),set_type)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( member(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X5)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) )
      & ( ~ member(ordered_pair(esk2_2(X5,X6),esk3_2(X5,X6)),X6)
        | subset(X5,X6)
        | ~ ilf_type(X6,binary_relation_type)
        | ~ ilf_type(X5,binary_relation_type) ) ),
    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_34])])])])]) ).

fof(c_0_69,plain,
    ! [X4,X5,X6] :
      ( ( subset(X5,domain(X4,X5,X6))
        | ~ subset(identity_relation_of(X5),X6)
        | ~ ilf_type(X6,relation_type(X4,X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( X5 = range(X4,X5,X6)
        | ~ subset(identity_relation_of(X5),X6)
        | ~ ilf_type(X6,relation_type(X4,X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])])]) ).

fof(c_0_70,plain,
    ! [X4,X5,X6] :
      ( ( X5 = domain(X5,X4,X6)
        | ~ subset(identity_relation_of(X5),X6)
        | ~ ilf_type(X6,relation_type(X5,X4))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( subset(X5,range(X5,X4,X6))
        | ~ subset(identity_relation_of(X5),X6)
        | ~ ilf_type(X6,relation_type(X5,X4))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])])])]) ).

fof(c_0_71,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,relation_type(X4,X5))
      | ilf_type(range(X4,X5,X6),subset_type(X5)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])]) ).

fof(c_0_72,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,relation_type(X4,X5))
      | ilf_type(domain(X4,X5,X6),subset_type(X4)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])])]) ).

fof(c_0_73,plain,
    ! [X5,X6,X7,X8] :
      ( ( ~ ilf_type(X7,subset_type(cross_product(X5,X6)))
        | ilf_type(X7,relation_type(X5,X6))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) )
      & ( ~ ilf_type(X8,relation_type(X5,X6))
        | ilf_type(X8,subset_type(cross_product(X5,X6)))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])])])]) ).

fof(c_0_74,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,relation_type(X4,X5))
      | range(X4,X5,X6) = range_of(X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).

fof(c_0_75,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,relation_type(X4,X5))
      | domain(X4,X5,X6) = domain_of(X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])]) ).

fof(c_0_76,plain,
    ! [X4,X5,X6] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ~ ilf_type(X6,subset_type(cross_product(X4,X5)))
      | relation_like(X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

fof(c_0_77,plain,
    ! [X4,X5,X6] :
      ( ( member(X5,X4)
        | ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( X5 = X6
        | ~ member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(X5,X4)
        | X5 != X6
        | member(ordered_pair(X5,X6),identity_relation_of(X4))
        | ~ ilf_type(X6,set_type)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])])]) ).

fof(c_0_78,plain,
    ! [X5,X6,X10,X11] :
      ( ( ilf_type(esk10_2(X5,X6),set_type)
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ilf_type(esk11_2(X5,X6),set_type)
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( X6 = ordered_pair(esk10_2(X5,X6),esk11_2(X5,X6))
        | ~ member(X6,X5)
        | ~ ilf_type(X6,set_type)
        | ~ relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ilf_type(esk12_1(X5),set_type)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( member(esk12_1(X5),X5)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) )
      & ( ~ ilf_type(X10,set_type)
        | ~ ilf_type(X11,set_type)
        | esk12_1(X5) != ordered_pair(X10,X11)
        | relation_like(X5)
        | ~ ilf_type(X5,set_type) ) ),
    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_44])])])])]) ).

fof(c_0_79,plain,
    ! [X4,X5,X6] :
      ( ( ~ member(X4,power_set(X5))
        | ~ ilf_type(X6,set_type)
        | ~ member(X6,X4)
        | member(X6,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ilf_type(esk8_2(X4,X5),set_type)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( member(esk8_2(X4,X5),X4)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(esk8_2(X4,X5),X5)
        | member(X4,power_set(X5))
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    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_45])])])])]) ).

fof(c_0_80,plain,
    ! [X3,X4] :
      ( ( ~ ilf_type(X4,identity_relation_of_type(X3))
        | ilf_type(X4,relation_type(X3,X3))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ ilf_type(X4,relation_type(X3,X3))
        | ilf_type(X4,identity_relation_of_type(X3))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])])])]) ).

fof(c_0_81,plain,
    ! [X4,X5,X6] :
      ( ( ~ subset(X4,X5)
        | ~ ilf_type(X6,set_type)
        | ~ member(X6,X4)
        | member(X6,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ilf_type(esk7_2(X4,X5),set_type)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( member(esk7_2(X4,X5),X4)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) )
      & ( ~ member(esk7_2(X4,X5),X5)
        | subset(X4,X5)
        | ~ ilf_type(X5,set_type)
        | ~ ilf_type(X4,set_type) ) ),
    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_47])])])])]) ).

fof(c_0_82,plain,
    ! [X3,X4] :
      ( ( ~ ilf_type(X4,subset_type(X3))
        | ilf_type(X4,member_type(power_set(X3)))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ ilf_type(X4,member_type(power_set(X3)))
        | ilf_type(X4,subset_type(X3))
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).

fof(c_0_83,plain,
    ! [X4,X5] :
      ( ~ ilf_type(X4,set_type)
      | ~ ilf_type(X5,set_type)
      | ilf_type(esk5_2(X4,X5),relation_type(X5,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).

fof(c_0_84,plain,
    ! [X3,X4] :
      ( ( ~ ilf_type(X3,member_type(X4))
        | member(X3,X4)
        | empty(X4)
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ member(X3,X4)
        | ilf_type(X3,member_type(X4))
        | empty(X4)
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).

fof(c_0_85,plain,
    ! [X3,X4] :
      ( ( subset(X3,X4)
        | X3 != X4
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( subset(X4,X3)
        | X3 != X4
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) )
      & ( ~ subset(X3,X4)
        | ~ subset(X4,X3)
        | X3 = X4
        | ~ ilf_type(X4,set_type)
        | ~ ilf_type(X3,set_type) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_51])])])]) ).

fof(c_0_86,plain,
    ! [X3,X4] :
      ( ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,set_type)
      | ilf_type(cross_product(X3,X4),set_type) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_52])])]) ).

fof(c_0_87,plain,
    ! [X3,X4] :
      ( ~ ilf_type(X3,set_type)
      | ~ ilf_type(X4,set_type)
      | ilf_type(ordered_pair(X3,X4),set_type) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_53])])]) ).

fof(c_0_88,plain,
    ! [X3,X4] :
      ( ( ~ empty(X3)
        | ~ ilf_type(X4,set_type)
        | ~ member(X4,X3)
        | ~ ilf_type(X3,set_type) )
      & ( ilf_type(esk13_1(X3),set_type)
        | empty(X3)
        | ~ ilf_type(X3,set_type) )
      & ( member(esk13_1(X3),X3)
        | empty(X3)
        | ~ ilf_type(X3,set_type) ) ),
    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_54])])])])]) ).

fof(c_0_89,plain,
    ! [X2] :
      ( ( relation_like(X2)
        | ~ ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) )
      & ( ilf_type(X2,set_type)
        | ~ ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) )
      & ( ~ relation_like(X2)
        | ~ ilf_type(X2,set_type)
        | ilf_type(X2,binary_relation_type)
        | ~ ilf_type(X2,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_55])])]) ).

fof(c_0_90,plain,
    ! [X3] :
      ( empty(X3)
      | ~ ilf_type(X3,set_type)
      | ilf_type(esk9_1(X3),member_type(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_56])])]) ).

fof(c_0_91,plain,
    ! [X3] :
      ( ~ ilf_type(X3,set_type)
      | ilf_type(esk6_1(X3),subset_type(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_57])])]) ).

fof(c_0_92,plain,
    ! [X3] :
      ( ~ ilf_type(X3,set_type)
      | ilf_type(esk1_1(X3),identity_relation_of_type(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_58])])]) ).

fof(c_0_93,plain,
    ! [X2] :
      ( ( ~ empty(power_set(X2))
        | ~ ilf_type(X2,set_type) )
      & ( ilf_type(power_set(X2),set_type)
        | ~ ilf_type(X2,set_type) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_59])])]) ).

fof(c_0_94,plain,
    ! [X2] :
      ( ~ ilf_type(X2,binary_relation_type)
      | ilf_type(range_of(X2),set_type) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_60])]) ).

fof(c_0_95,plain,
    ! [X2] :
      ( ~ ilf_type(X2,binary_relation_type)
      | ilf_type(domain_of(X2),set_type) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_61])]) ).

fof(c_0_96,plain,
    ! [X2] :
      ( ~ ilf_type(X2,set_type)
      | ilf_type(identity_relation_of(X2),binary_relation_type) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])]) ).

fof(c_0_97,plain,
    ! [X2] :
      ( ~ ilf_type(X2,binary_relation_type)
      | subset(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])]) ).

fof(c_0_98,plain,
    ! [X2] :
      ( ~ ilf_type(X2,set_type)
      | subset(X2,X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_64])]) ).

fof(c_0_99,plain,
    ! [X2] :
      ( ~ empty(X2)
      | ~ ilf_type(X2,set_type)
      | relation_like(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_65])]) ).

fof(c_0_100,plain,
    ! [X2] : ilf_type(X2,set_type),
    inference(variable_rename,[status(thm)],[c_0_66]) ).

fof(c_0_101,plain,
    ilf_type(esk4_0,binary_relation_type),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_67])]) ).

cnf(c_0_102,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_103,plain,
    ( subset(X2,domain(X1,X2,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_104,plain,
    ( subset(X2,range(X2,X1,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_105,plain,
    ( ilf_type(range(X1,X2,X3),subset_type(X2))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_106,plain,
    ( ilf_type(domain(X1,X2,X3),subset_type(X1))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_107,plain,
    ( member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_108,plain,
    ( subset(X1,X2)
    | member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_109,plain,
    ( ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_110,plain,
    ( X2 = range(X1,X2,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_111,plain,
    ( X2 = domain(X2,X1,X3)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_112,plain,
    ( ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_113,plain,
    ( range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_114,plain,
    ( domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_115,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_116,plain,
    ( member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_117,plain,
    ( X2 = ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_118,plain,
    ( X2 = X3
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_119,plain,
    ( member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | X2 != X3
    | ~ member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_120,plain,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_121,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk8_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_122,plain,
    ( ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,relation_type(X1,X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_123,plain,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_124,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk7_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_125,plain,
    ( ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,identity_relation_of_type(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_126,plain,
    ( ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_127,plain,
    ( ilf_type(esk10_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_128,plain,
    ( ilf_type(esk11_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_129,plain,
    ( ilf_type(esk5_2(X1,X2),relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_130,plain,
    ( ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,subset_type(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_131,plain,
    ( member(X1,power_set(X2))
    | member(esk8_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_132,plain,
    ( member(X1,power_set(X2))
    | ilf_type(esk8_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_133,plain,
    ( subset(X1,X2)
    | member(esk7_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_134,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_135,plain,
    ( subset(X1,X2)
    | ilf_type(esk7_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_136,plain,
    ( subset(X1,X2)
    | ilf_type(esk2_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_137,plain,
    ( subset(X1,X2)
    | ilf_type(esk3_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_138,plain,
    ( empty(X2)
    | member(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_139,plain,
    ( empty(X2)
    | ilf_type(X1,member_type(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_140,plain,
    ( X1 = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_141,plain,
    ( ilf_type(cross_product(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_142,plain,
    ( ilf_type(ordered_pair(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_143,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_144,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_145,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_146,plain,
    ( subset(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_147,plain,
    ( ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_148,plain,
    ( ilf_type(esk9_1(X1),member_type(X1))
    | empty(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_90]) ).

cnf(c_0_149,plain,
    ( ilf_type(esk6_1(X1),subset_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_91]) ).

cnf(c_0_150,plain,
    ( ilf_type(esk1_1(X1),identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_92]) ).

cnf(c_0_151,plain,
    ( empty(X1)
    | member(esk13_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_152,plain,
    ( relation_like(X1)
    | member(esk12_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_153,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_154,plain,
    ( empty(X1)
    | ilf_type(esk13_1(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_155,plain,
    ( relation_like(X1)
    | ilf_type(esk12_1(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_156,plain,
    ( ilf_type(power_set(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_157,plain,
    ( ilf_type(range_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_94]) ).

cnf(c_0_158,plain,
    ( ilf_type(domain_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_95]) ).

cnf(c_0_159,plain,
    ( ilf_type(identity_relation_of(X1),binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_96]) ).

cnf(c_0_160,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ empty(power_set(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_93]) ).

cnf(c_0_161,plain,
    ( subset(X1,X1)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(split_conjunct,[status(thm)],[c_0_97]) ).

cnf(c_0_162,plain,
    ( subset(X1,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(split_conjunct,[status(thm)],[c_0_98]) ).

cnf(c_0_163,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_99]) ).

cnf(c_0_164,plain,
    ilf_type(X1,set_type),
    inference(split_conjunct,[status(thm)],[c_0_100]) ).

cnf(c_0_165,plain,
    ilf_type(esk4_0,binary_relation_type),
    inference(split_conjunct,[status(thm)],[c_0_101]) ).

cnf(c_0_166,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X2) ),
    c_0_102,
    [final] ).

cnf(c_0_167,plain,
    ( subset(X2,domain(X1,X2,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    c_0_103,
    [final] ).

cnf(c_0_168,plain,
    ( subset(X2,range(X2,X1,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    c_0_104,
    [final] ).

cnf(c_0_169,plain,
    ( ilf_type(range(X1,X2,X3),subset_type(X2))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_105,
    [final] ).

cnf(c_0_170,plain,
    ( ilf_type(domain(X1,X2,X3),subset_type(X1))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_106,
    [final] ).

cnf(c_0_171,plain,
    ( member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    c_0_107,
    [final] ).

cnf(c_0_172,plain,
    ( subset(X1,X2)
    | member(ordered_pair(esk2_2(X1,X2),esk3_2(X1,X2)),X1)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    c_0_108,
    [final] ).

cnf(c_0_173,plain,
    ( ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    c_0_109,
    [final] ).

cnf(c_0_174,plain,
    ( range(X1,X2,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    c_0_110,
    [final] ).

cnf(c_0_175,plain,
    ( domain(X2,X1,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    c_0_111,
    [final] ).

cnf(c_0_176,plain,
    ( ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    c_0_112,
    [final] ).

cnf(c_0_177,plain,
    ( range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_113,
    [final] ).

cnf(c_0_178,plain,
    ( domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_114,
    [final] ).

cnf(c_0_179,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_115,
    [final] ).

cnf(c_0_180,plain,
    ( member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    c_0_116,
    [final] ).

cnf(c_0_181,plain,
    ( ordered_pair(esk10_2(X1,X2),esk11_2(X1,X2)) = X2
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    c_0_117,
    [final] ).

cnf(c_0_182,plain,
    ( X2 = X3
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    c_0_118,
    [final] ).

cnf(c_0_183,plain,
    ( member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | X2 != X3
    | ~ member(X2,X1) ),
    c_0_119,
    [final] ).

cnf(c_0_184,plain,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    c_0_120,
    [final] ).

cnf(c_0_185,plain,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk8_2(X1,X2),X2) ),
    c_0_121,
    [final] ).

cnf(c_0_186,plain,
    ( ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,relation_type(X1,X1)) ),
    c_0_122,
    [final] ).

cnf(c_0_187,plain,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    c_0_123,
    [final] ).

cnf(c_0_188,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(esk7_2(X1,X2),X2) ),
    c_0_124,
    [final] ).

cnf(c_0_189,plain,
    ( ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,identity_relation_of_type(X1)) ),
    c_0_125,
    [final] ).

cnf(c_0_190,plain,
    ( ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    c_0_126,
    [final] ).

cnf(c_0_191,plain,
    ( ilf_type(esk10_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    c_0_127,
    [final] ).

cnf(c_0_192,plain,
    ( ilf_type(esk11_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    c_0_128,
    [final] ).

cnf(c_0_193,plain,
    ( ilf_type(esk5_2(X1,X2),relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_129,
    [final] ).

cnf(c_0_194,plain,
    ( ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,subset_type(X1)) ),
    c_0_130,
    [final] ).

cnf(c_0_195,plain,
    ( member(X1,power_set(X2))
    | member(esk8_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_131,
    [final] ).

cnf(c_0_196,plain,
    ( member(X1,power_set(X2))
    | ilf_type(esk8_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_132,
    [final] ).

cnf(c_0_197,plain,
    ( subset(X1,X2)
    | member(esk7_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_133,
    [final] ).

cnf(c_0_198,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_134,
    [final] ).

cnf(c_0_199,plain,
    ( subset(X1,X2)
    | ilf_type(esk7_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    c_0_135,
    [final] ).

cnf(c_0_200,plain,
    ( subset(X1,X2)
    | ilf_type(esk2_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    c_0_136,
    [final] ).

cnf(c_0_201,plain,
    ( subset(X1,X2)
    | ilf_type(esk3_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    c_0_137,
    [final] ).

cnf(c_0_202,plain,
    ( empty(X2)
    | member(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2)) ),
    c_0_138,
    [final] ).

cnf(c_0_203,plain,
    ( empty(X2)
    | ilf_type(X1,member_type(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    c_0_139,
    [final] ).

cnf(c_0_204,plain,
    ( X1 = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    c_0_140,
    [final] ).

cnf(c_0_205,plain,
    ( ilf_type(cross_product(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_141,
    [final] ).

cnf(c_0_206,plain,
    ( ilf_type(ordered_pair(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_142,
    [final] ).

cnf(c_0_207,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ empty(X1) ),
    c_0_143,
    [final] ).

cnf(c_0_208,plain,
    ( ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1) ),
    c_0_144,
    [final] ).

cnf(c_0_209,plain,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    c_0_145,
    [final] ).

cnf(c_0_210,plain,
    ( subset(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    c_0_146,
    [final] ).

cnf(c_0_211,plain,
    ( ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    c_0_147,
    [final] ).

cnf(c_0_212,plain,
    ( ilf_type(esk9_1(X1),member_type(X1))
    | empty(X1)
    | ~ ilf_type(X1,set_type) ),
    c_0_148,
    [final] ).

cnf(c_0_213,plain,
    ( ilf_type(esk6_1(X1),subset_type(X1))
    | ~ ilf_type(X1,set_type) ),
    c_0_149,
    [final] ).

cnf(c_0_214,plain,
    ( ilf_type(esk1_1(X1),identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type) ),
    c_0_150,
    [final] ).

cnf(c_0_215,plain,
    ( empty(X1)
    | member(esk13_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    c_0_151,
    [final] ).

cnf(c_0_216,plain,
    ( relation_like(X1)
    | member(esk12_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    c_0_152,
    [final] ).

cnf(c_0_217,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    c_0_153,
    [final] ).

cnf(c_0_218,plain,
    ( empty(X1)
    | ilf_type(esk13_1(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_154,
    [final] ).

cnf(c_0_219,plain,
    ( relation_like(X1)
    | ilf_type(esk12_1(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_155,
    [final] ).

cnf(c_0_220,plain,
    ( ilf_type(power_set(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_156,
    [final] ).

cnf(c_0_221,plain,
    ( ilf_type(range_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    c_0_157,
    [final] ).

cnf(c_0_222,plain,
    ( ilf_type(domain_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    c_0_158,
    [final] ).

cnf(c_0_223,plain,
    ( ilf_type(identity_relation_of(X1),binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    c_0_159,
    [final] ).

cnf(c_0_224,plain,
    ( ~ ilf_type(X1,set_type)
    | ~ empty(power_set(X1)) ),
    c_0_160,
    [final] ).

cnf(c_0_225,plain,
    ( subset(X1,X1)
    | ~ ilf_type(X1,binary_relation_type) ),
    c_0_161,
    [final] ).

cnf(c_0_226,plain,
    ( subset(X1,X1)
    | ~ ilf_type(X1,set_type) ),
    c_0_162,
    [final] ).

cnf(c_0_227,plain,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    c_0_163,
    [final] ).

cnf(c_0_228,plain,
    ilf_type(X1,set_type),
    c_0_164,
    [final] ).

cnf(c_0_229,plain,
    ilf_type(esk4_0,binary_relation_type),
    c_0_165,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_166_0,axiom,
    ( subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_1,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_2,axiom,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | subset(X1,X2)
    | ~ member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_166_3,axiom,
    ( ~ member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X2)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_167_0,axiom,
    ( subset(X2,domain(X1,X2,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X2,domain(X1,X2,X3))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,domain(X1,X2,X3))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_3,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,domain(X1,X2,X3))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_167_4,axiom,
    ( ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,domain(X1,X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_168_0,axiom,
    ( subset(X2,range(X2,X1,X3))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X2,range(X2,X1,X3))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,range(X2,X1,X3))
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_3,axiom,
    ( ~ ilf_type(X3,relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,range(X2,X1,X3))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_168_4,axiom,
    ( ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,range(X2,X1,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_169_0,axiom,
    ( ilf_type(range(X1,X2,X3),subset_type(X2))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_1,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(range(X1,X2,X3),subset_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(range(X1,X2,X3),subset_type(X2))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_169_3,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(range(X1,X2,X3),subset_type(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_170_0,axiom,
    ( ilf_type(domain(X1,X2,X3),subset_type(X1))
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_170_1,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(domain(X1,X2,X3),subset_type(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_170_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(domain(X1,X2,X3),subset_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_170_3,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ilf_type(domain(X1,X2,X3),subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_171_0,axiom,
    ( member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_1,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_2,axiom,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_3,axiom,
    ( ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X4,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_4,axiom,
    ( ~ ilf_type(X4,set_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_5,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_171_6,axiom,
    ( ~ subset(X1,X2)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X4,set_type)
    | ~ member(ordered_pair(X3,X4),X1)
    | ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(X3,X4),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_172_0,axiom,
    ( subset(X1,X2)
    | member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_172_1,axiom,
    ( member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
    | subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_172_2,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
    | subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_172_3,axiom,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | member(ordered_pair(sk1_esk2_2(X1,X2),sk1_esk3_2(X1,X2)),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_173_0,axiom,
    ( ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_173_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_173_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_173_3,axiom,
    ( ~ ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X3,relation_type(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_174_0,axiom,
    ( range(X1,X2,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = X2
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = X2
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_3,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = X2
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_174_4,axiom,
    ( ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | range(X1,X2,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_175_0,axiom,
    ( domain(X2,X1,X3) = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | domain(X2,X1,X3) = X2
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | domain(X2,X1,X3) = X2
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_3,axiom,
    ( ~ ilf_type(X3,relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | domain(X2,X1,X3) = X2
    | ~ subset(identity_relation_of(X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_175_4,axiom,
    ( ~ subset(identity_relation_of(X2),X3)
    | ~ ilf_type(X3,relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | domain(X2,X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_176_0,axiom,
    ( ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X3,subset_type(cross_product(X1,X2)))
    | ~ ilf_type(X3,relation_type(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_176_3,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X3,subset_type(cross_product(X1,X2))) ),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_177_0,axiom,
    ( range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_1,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | range(X1,X2,X3) = range_of(X3)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_177_3,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | range(X1,X2,X3) = range_of(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_178_0,axiom,
    ( domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_1,axiom,
    ( ~ ilf_type(X3,relation_type(X1,X2))
    | domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | domain(X1,X2,X3) = domain_of(X3)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_178_3,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,relation_type(X1,X2))
    | domain(X1,X2,X3) = domain_of(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_179_0,axiom,
    ( relation_like(X1)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_1,axiom,
    ( ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | relation_like(X1)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_2,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | relation_like(X1)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_179_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X1,subset_type(cross_product(X2,X3)))
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

cnf(c_0_180_0,axiom,
    ( member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X2,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_3,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X2,X1)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_180_4,axiom,
    ( ~ member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_180]) ).

cnf(c_0_181_0,axiom,
    ( ordered_pair(sk1_esk10_2(X1,X2),sk1_esk11_2(X1,X2)) = X2
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ordered_pair(sk1_esk10_2(X1,X2),sk1_esk11_2(X1,X2)) = X2
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_2,axiom,
    ( ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ordered_pair(sk1_esk10_2(X1,X2),sk1_esk11_2(X1,X2)) = X2
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ordered_pair(sk1_esk10_2(X1,X2),sk1_esk11_2(X1,X2)) = X2
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_181_4,axiom,
    ( ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ordered_pair(sk1_esk10_2(X1,X2),sk1_esk11_2(X1,X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_181]) ).

cnf(c_0_182_0,axiom,
    ( X2 = X3
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | X2 = X3
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X2 = X3
    | ~ ilf_type(X3,set_type)
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_3,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X2 = X3
    | ~ member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_182_4,axiom,
    ( ~ member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X2 = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_182]) ).

cnf(c_0_183_0,axiom,
    ( member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | X2 != X3
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | X2 != X3
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ ilf_type(X3,set_type)
    | X2 != X3
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_3,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(ordered_pair(X2,X3),identity_relation_of(X1))
    | X2 != X3
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_4,axiom,
    ( X2 != X3
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(ordered_pair(X2,X3),identity_relation_of(X1))
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_183_5,axiom,
    ( ~ member(X2,X1)
    | X2 != X3
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(ordered_pair(X2,X3),identity_relation_of(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_183]) ).

cnf(c_0_184_0,axiom,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_3,axiom,
    ( ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ ilf_type(X3,set_type)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_4,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_184_5,axiom,
    ( ~ member(X1,power_set(X2))
    | ~ ilf_type(X3,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_184]) ).

cnf(c_0_185_0,axiom,
    ( member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(sk1_esk8_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type)
    | ~ member(sk1_esk8_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X1,power_set(X2))
    | ~ member(sk1_esk8_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_185_3,axiom,
    ( ~ member(sk1_esk8_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_185]) ).

cnf(c_0_186_0,axiom,
    ( ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,relation_type(X1,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,relation_type(X1,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X2,relation_type(X1,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_186_3,axiom,
    ( ~ ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,identity_relation_of_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_186]) ).

cnf(c_0_187_0,axiom,
    ( member(X3,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ ilf_type(X2,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ member(X3,X1)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_3,axiom,
    ( ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ ilf_type(X3,set_type)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_4,axiom,
    ( ~ ilf_type(X3,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_187_5,axiom,
    ( ~ subset(X1,X2)
    | ~ ilf_type(X3,set_type)
    | ~ member(X3,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_187]) ).

cnf(c_0_188_0,axiom,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(sk1_esk7_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ member(sk1_esk7_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X1,X2)
    | ~ member(sk1_esk7_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_188_3,axiom,
    ( ~ member(sk1_esk7_2(X1,X2),X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_188]) ).

cnf(c_0_189_0,axiom,
    ( ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,identity_relation_of_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,identity_relation_of_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,relation_type(X1,X1))
    | ~ ilf_type(X2,identity_relation_of_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_189_3,axiom,
    ( ~ ilf_type(X2,identity_relation_of_type(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,relation_type(X1,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_189]) ).

cnf(c_0_190_0,axiom,
    ( ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X2,member_type(power_set(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_190_3,axiom,
    ( ~ ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_190]) ).

cnf(c_0_191_0,axiom,
    ( ilf_type(sk1_esk10_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk10_2(X1,X2),set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_2,axiom,
    ( ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk10_2(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk10_2(X1,X2),set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_191_4,axiom,
    ( ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk10_2(X1,X2),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_191]) ).

cnf(c_0_192_0,axiom,
    ( ilf_type(sk1_esk11_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk11_2(X1,X2),set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_2,axiom,
    ( ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk11_2(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk11_2(X1,X2),set_type)
    | ~ member(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_192_4,axiom,
    ( ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk11_2(X1,X2),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_192]) ).

cnf(c_0_193_0,axiom,
    ( ilf_type(sk1_esk5_2(X1,X2),relation_type(X2,X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_1,axiom,
    ( ~ ilf_type(X2,set_type)
    | ilf_type(sk1_esk5_2(X1,X2),relation_type(X2,X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_193_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(sk1_esk5_2(X1,X2),relation_type(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_193]) ).

cnf(c_0_194_0,axiom,
    ( ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X2,subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,member_type(power_set(X1)))
    | ~ ilf_type(X2,subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_194_3,axiom,
    ( ~ ilf_type(X2,subset_type(X1))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X2,member_type(power_set(X1))) ),
    inference(literals_permutation,[status(thm)],[c_0_194]) ).

cnf(c_0_195_0,axiom,
    ( member(X1,power_set(X2))
    | member(sk1_esk8_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_1,axiom,
    ( member(sk1_esk8_2(X1,X2),X1)
    | member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(sk1_esk8_2(X1,X2),X1)
    | member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_195_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(sk1_esk8_2(X1,X2),X1)
    | member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_195]) ).

cnf(c_0_196_0,axiom,
    ( member(X1,power_set(X2))
    | ilf_type(sk1_esk8_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_1,axiom,
    ( ilf_type(sk1_esk8_2(X1,X2),set_type)
    | member(X1,power_set(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk8_2(X1,X2),set_type)
    | member(X1,power_set(X2))
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_196_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk8_2(X1,X2),set_type)
    | member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_196]) ).

cnf(c_0_197_0,axiom,
    ( subset(X1,X2)
    | member(sk1_esk7_2(X1,X2),X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_1,axiom,
    ( member(sk1_esk7_2(X1,X2),X1)
    | subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(sk1_esk7_2(X1,X2),X1)
    | subset(X1,X2)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_197_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(sk1_esk7_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_197]) ).

cnf(c_0_198_0,axiom,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | sk1_esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | sk1_esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_2,axiom,
    ( sk1_esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | ~ ilf_type(X3,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_3,axiom,
    ( ~ ilf_type(X3,set_type)
    | sk1_esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_198_4,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X3,set_type)
    | sk1_esk12_1(X1) != ordered_pair(X2,X3)
    | ~ ilf_type(X1,set_type)
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_198]) ).

cnf(c_0_199_0,axiom,
    ( subset(X1,X2)
    | ilf_type(sk1_esk7_2(X1,X2),set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_1,axiom,
    ( ilf_type(sk1_esk7_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk7_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_199_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk7_2(X1,X2),set_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_199]) ).

cnf(c_0_200_0,axiom,
    ( subset(X1,X2)
    | ilf_type(sk1_esk2_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_1,axiom,
    ( ilf_type(sk1_esk2_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_2,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ilf_type(sk1_esk2_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_200_3,axiom,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ilf_type(sk1_esk2_2(X1,X2),set_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_200]) ).

cnf(c_0_201_0,axiom,
    ( subset(X1,X2)
    | ilf_type(sk1_esk3_2(X1,X2),set_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_1,axiom,
    ( ilf_type(sk1_esk3_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_2,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ilf_type(sk1_esk3_2(X1,X2),set_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_201_3,axiom,
    ( ~ ilf_type(X2,binary_relation_type)
    | ~ ilf_type(X1,binary_relation_type)
    | ilf_type(sk1_esk3_2(X1,X2),set_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_201]) ).

cnf(c_0_202_0,axiom,
    ( empty(X2)
    | member(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_1,axiom,
    ( member(X1,X2)
    | empty(X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(X1,X2)
    | empty(X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,member_type(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X1,X2)
    | empty(X2)
    | ~ ilf_type(X1,member_type(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_202_4,axiom,
    ( ~ ilf_type(X1,member_type(X2))
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | member(X1,X2)
    | empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_202]) ).

cnf(c_0_203_0,axiom,
    ( empty(X2)
    | ilf_type(X1,member_type(X2))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_1,axiom,
    ( ilf_type(X1,member_type(X2))
    | empty(X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X1,member_type(X2))
    | empty(X2)
    | ~ ilf_type(X2,set_type)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_3,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X1,member_type(X2))
    | empty(X2)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_203_4,axiom,
    ( ~ member(X1,X2)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X1,member_type(X2))
    | empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_203]) ).

cnf(c_0_204_0,axiom,
    ( X1 = X2
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | X1 = X2
    | ~ ilf_type(X2,set_type)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_3,axiom,
    ( ~ subset(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X1 = X2
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_204_4,axiom,
    ( ~ subset(X1,X2)
    | ~ subset(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_204]) ).

cnf(c_0_205_0,axiom,
    ( ilf_type(cross_product(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_1,axiom,
    ( ~ ilf_type(X2,set_type)
    | ilf_type(cross_product(X1,X2),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_205_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(cross_product(X1,X2),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_205]) ).

cnf(c_0_206_0,axiom,
    ( ilf_type(ordered_pair(X1,X2),set_type)
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_1,axiom,
    ( ~ ilf_type(X2,set_type)
    | ilf_type(ordered_pair(X1,X2),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_206_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ilf_type(ordered_pair(X1,X2),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_206]) ).

cnf(c_0_207_0,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X2,set_type)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_1,axiom,
    ( ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_207_3,axiom,
    ( ~ empty(X1)
    | ~ ilf_type(X2,set_type)
    | ~ member(X2,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_207]) ).

cnf(c_0_208_0,axiom,
    ( ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ~ relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X1,binary_relation_type)
    | ~ relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_208_3,axiom,
    ( ~ relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_208]) ).

cnf(c_0_209_0,axiom,
    ( subset(X1,X2)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X1,X2)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_209_3,axiom,
    ( X1 != X2
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_209]) ).

cnf(c_0_210_0,axiom,
    ( subset(X2,X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X2,X1)
    | ~ ilf_type(X2,set_type)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_2,axiom,
    ( ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_210_3,axiom,
    ( X1 != X2
    | ~ ilf_type(X2,set_type)
    | ~ ilf_type(X1,set_type)
    | subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_210]) ).

cnf(c_0_211_0,axiom,
    ( ilf_type(X1,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_211_2,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_211]) ).

cnf(c_0_212_0,axiom,
    ( ilf_type(sk1_esk9_1(X1),member_type(X1))
    | empty(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_1,axiom,
    ( empty(X1)
    | ilf_type(sk1_esk9_1(X1),member_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_212_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | empty(X1)
    | ilf_type(sk1_esk9_1(X1),member_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_212]) ).

cnf(c_0_213_0,axiom,
    ( ilf_type(sk1_esk6_1(X1),subset_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_213_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk6_1(X1),subset_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_213]) ).

cnf(c_0_214_0,axiom,
    ( ilf_type(sk1_esk1_1(X1),identity_relation_of_type(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_214_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk1_1(X1),identity_relation_of_type(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_214]) ).

cnf(c_0_215_0,axiom,
    ( empty(X1)
    | member(sk1_esk13_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_1,axiom,
    ( member(sk1_esk13_1(X1),X1)
    | empty(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_215_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(sk1_esk13_1(X1),X1)
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_215]) ).

cnf(c_0_216_0,axiom,
    ( relation_like(X1)
    | member(sk1_esk12_1(X1),X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_1,axiom,
    ( member(sk1_esk12_1(X1),X1)
    | relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_216_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | member(sk1_esk12_1(X1),X1)
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_216]) ).

cnf(c_0_217_0,axiom,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_217_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

cnf(c_0_217_2,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ~ ilf_type(X1,set_type)
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_217]) ).

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

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

cnf(c_0_218_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk13_1(X1),set_type)
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_218]) ).

cnf(c_0_219_0,axiom,
    ( relation_like(X1)
    | ilf_type(sk1_esk12_1(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_1,axiom,
    ( ilf_type(sk1_esk12_1(X1),set_type)
    | relation_like(X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_219_2,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(sk1_esk12_1(X1),set_type)
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_219]) ).

cnf(c_0_220_0,axiom,
    ( ilf_type(power_set(X1),set_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_220_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(power_set(X1),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_220]) ).

cnf(c_0_221_0,axiom,
    ( ilf_type(range_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_221_1,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ilf_type(range_of(X1),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_221]) ).

cnf(c_0_222_0,axiom,
    ( ilf_type(domain_of(X1),set_type)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_222_1,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | ilf_type(domain_of(X1),set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_222]) ).

cnf(c_0_223_0,axiom,
    ( ilf_type(identity_relation_of(X1),binary_relation_type)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_223_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | ilf_type(identity_relation_of(X1),binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_223]) ).

cnf(c_0_224_0,axiom,
    ( ~ ilf_type(X1,set_type)
    | ~ empty(power_set(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_224_1,axiom,
    ( ~ empty(power_set(X1))
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_224]) ).

cnf(c_0_225_0,axiom,
    ( subset(X1,X1)
    | ~ ilf_type(X1,binary_relation_type) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_225_1,axiom,
    ( ~ ilf_type(X1,binary_relation_type)
    | subset(X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_225]) ).

cnf(c_0_226_0,axiom,
    ( subset(X1,X1)
    | ~ ilf_type(X1,set_type) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_226_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | subset(X1,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_226]) ).

cnf(c_0_227_0,axiom,
    ( relation_like(X1)
    | ~ ilf_type(X1,set_type)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_1,axiom,
    ( ~ ilf_type(X1,set_type)
    | relation_like(X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_227_2,axiom,
    ( ~ empty(X1)
    | ~ ilf_type(X1,set_type)
    | relation_like(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_227]) ).

cnf(c_0_228_0,axiom,
    ilf_type(X1,set_type),
    inference(literals_permutation,[status(thm)],[c_0_228]) ).

cnf(c_0_229_0,axiom,
    ilf_type(sk1_esk4_0,binary_relation_type),
    inference(literals_permutation,[status(thm)],[c_0_229]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1] :
      ( ilf_type(X1,set_type)
     => ! [X2] :
          ( ilf_type(X2,identity_relation_of_type(X1))
         => ( subset(identity_relation_of(X1),X2)
           => ( X1 = domain(X1,X1,X2)
              & X1 = range(X1,X1,X2) ) ) ) ),
    file('<stdin>',prove_relset_1_44) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1] :
        ( ilf_type(X1,set_type)
       => ! [X2] :
            ( ilf_type(X2,identity_relation_of_type(X1))
           => ( subset(identity_relation_of(X1),X2)
             => ( X1 = domain(X1,X1,X2)
                & X1 = range(X1,X1,X2) ) ) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( ilf_type(esk1_0,set_type)
    & ilf_type(esk2_0,identity_relation_of_type(esk1_0))
    & subset(identity_relation_of(esk1_0),esk2_0)
    & ( esk1_0 != domain(esk1_0,esk1_0,esk2_0)
      | esk1_0 != range(esk1_0,esk1_0,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,
    ( esk1_0 != range(esk1_0,esk1_0,esk2_0)
    | esk1_0 != domain(esk1_0,esk1_0,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_5_006,negated_conjecture,
    subset(identity_relation_of(esk1_0),esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ilf_type(esk1_0,set_type),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( range(esk1_0,esk1_0,esk2_0) != esk1_0
    | domain(esk1_0,esk1_0,esk2_0) != esk1_0 ),
    c_0_3,
    [final] ).

cnf(c_0_8_009,negated_conjecture,
    ilf_type(esk2_0,identity_relation_of_type(esk1_0)),
    c_0_4,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    subset(identity_relation_of(esk1_0),esk2_0),
    c_0_5,
    [final] ).

cnf(c_0_10_011,negated_conjecture,
    ilf_type(esk1_0,set_type),
    c_0_6,
    [final] ).

% End CNF derivation

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

cnf(c_196,plain,
    ( domain(X0,X1,X2) = X0
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X2,relation_type(X0,X1))
    | ~ subset(identity_relation_of(X0),X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_175_4) ).

cnf(c_529,plain,
    ( domain(X0,X1,X2) = X0
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X2,relation_type(X0,X1))
    | ~ subset(identity_relation_of(X0),X2) ),
    inference(copy,[status(esa)],[c_196]) ).

cnf(c_23783,plain,
    ( ~ ilf_type(sk2_esk1_0,set_type)
    | ~ ilf_type(sk2_esk2_0,relation_type(sk2_esk1_0,X0))
    | ~ ilf_type(X0,set_type)
    | ~ subset(identity_relation_of(sk2_esk1_0),sk2_esk2_0)
    | domain(sk2_esk1_0,X0,sk2_esk2_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_529]) ).

cnf(c_51292,plain,
    ( ~ ilf_type(sk2_esk1_0,set_type)
    | ~ ilf_type(sk2_esk2_0,relation_type(sk2_esk1_0,sk2_esk1_0))
    | ~ subset(identity_relation_of(sk2_esk1_0),sk2_esk2_0)
    | domain(sk2_esk1_0,sk2_esk1_0,sk2_esk2_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_23783]) ).

cnf(c_201,plain,
    ( range(X0,X1,X2) = X1
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,relation_type(X0,X1))
    | ~ subset(identity_relation_of(X1),X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_174_4) ).

cnf(c_534,plain,
    ( range(X0,X1,X2) = X1
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X2,relation_type(X0,X1))
    | ~ subset(identity_relation_of(X1),X2) ),
    inference(copy,[status(esa)],[c_201]) ).

cnf(c_23870,plain,
    ( ~ ilf_type(sk2_esk1_0,set_type)
    | ~ ilf_type(sk2_esk2_0,relation_type(X0,sk2_esk1_0))
    | ~ ilf_type(X0,set_type)
    | ~ subset(identity_relation_of(sk2_esk1_0),sk2_esk2_0)
    | range(X0,sk2_esk1_0,sk2_esk2_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_534]) ).

cnf(c_51290,plain,
    ( ~ ilf_type(sk2_esk1_0,set_type)
    | ~ ilf_type(sk2_esk2_0,relation_type(sk2_esk1_0,sk2_esk1_0))
    | ~ subset(identity_relation_of(sk2_esk1_0),sk2_esk2_0)
    | range(sk2_esk1_0,sk2_esk1_0,sk2_esk2_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_23870]) ).

cnf(c_1,plain,
    ilf_type(X0,set_type),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_228_0) ).

cnf(c_334,plain,
    ilf_type(X0,set_type),
    inference(copy,[status(esa)],[c_1]) ).

cnf(c_23923,plain,
    ilf_type(sk2_esk2_0,set_type),
    inference(instantiation,[status(thm)],[c_334]) ).

cnf(c_131,plain,
    ( ilf_type(X0,relation_type(X1,X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X0,identity_relation_of_type(X1)) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_189_3) ).

cnf(c_464,plain,
    ( ilf_type(X0,relation_type(X1,X1))
    | ~ ilf_type(X1,set_type)
    | ~ ilf_type(X0,set_type)
    | ~ ilf_type(X0,identity_relation_of_type(X1)) ),
    inference(copy,[status(esa)],[c_131]) ).

cnf(c_23568,plain,
    ( ~ ilf_type(sk2_esk1_0,set_type)
    | ~ ilf_type(sk2_esk2_0,set_type)
    | ~ ilf_type(sk2_esk2_0,identity_relation_of_type(sk2_esk1_0))
    | ilf_type(sk2_esk2_0,relation_type(sk2_esk1_0,sk2_esk1_0)) ),
    inference(instantiation,[status(thm)],[c_464]) ).

cnf(c_243,negated_conjecture,
    ( domain(sk2_esk1_0,sk2_esk1_0,sk2_esk2_0) != sk2_esk1_0
    | range(sk2_esk1_0,sk2_esk1_0,sk2_esk2_0) != sk2_esk1_0 ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_7) ).

cnf(c_244,negated_conjecture,
    ilf_type(sk2_esk2_0,identity_relation_of_type(sk2_esk1_0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_8) ).

cnf(c_245,negated_conjecture,
    subset(identity_relation_of(sk2_esk1_0),sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_9) ).

cnf(c_246,negated_conjecture,
    ilf_type(sk2_esk1_0,set_type),
    file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p',c_0_10) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_51292,c_51290,c_23923,c_23568,c_243,c_244,c_245,c_246]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET677+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.14  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 01:30:13 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.21/0.43  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.43  % FOF problem with conjecture
% 0.21/0.43  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_77708f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_2ba8a8 | grep -v "SZS"
% 0.21/0.45  
% 0.21/0.45  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.45  
% 0.21/0.45  % 
% 0.21/0.45  % ------  iProver source info 
% 0.21/0.45  
% 0.21/0.45  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.45  % git: non_committed_changes: true
% 0.21/0.45  % git: last_make_outside_of_git: true
% 0.21/0.45  
% 0.21/0.45  % 
% 0.21/0.45  % ------ Input Options
% 0.21/0.45  
% 0.21/0.45  % --out_options                         all
% 0.21/0.45  % --tptp_safe_out                       true
% 0.21/0.45  % --problem_path                        ""
% 0.21/0.45  % --include_path                        ""
% 0.21/0.45  % --clausifier                          .//eprover
% 0.21/0.45  % --clausifier_options                  --tstp-format  
% 0.21/0.45  % --stdin                               false
% 0.21/0.45  % --dbg_backtrace                       false
% 0.21/0.45  % --dbg_dump_prop_clauses               false
% 0.21/0.45  % --dbg_dump_prop_clauses_file          -
% 0.21/0.45  % --dbg_out_stat                        false
% 0.21/0.45  
% 0.21/0.45  % ------ General Options
% 0.21/0.45  
% 0.21/0.45  % --fof                                 false
% 0.21/0.45  % --time_out_real                       150.
% 0.21/0.45  % --time_out_prep_mult                  0.2
% 0.21/0.45  % --time_out_virtual                    -1.
% 0.21/0.45  % --schedule                            none
% 0.21/0.45  % --ground_splitting                    input
% 0.21/0.45  % --splitting_nvd                       16
% 0.21/0.45  % --non_eq_to_eq                        false
% 0.21/0.45  % --prep_gs_sim                         true
% 0.21/0.45  % --prep_unflatten                      false
% 0.21/0.45  % --prep_res_sim                        true
% 0.21/0.45  % --prep_upred                          true
% 0.21/0.45  % --res_sim_input                       true
% 0.21/0.45  % --clause_weak_htbl                    true
% 0.21/0.45  % --gc_record_bc_elim                   false
% 0.21/0.45  % --symbol_type_check                   false
% 0.21/0.45  % --clausify_out                        false
% 0.21/0.45  % --large_theory_mode                   false
% 0.21/0.45  % --prep_sem_filter                     none
% 0.21/0.45  % --prep_sem_filter_out                 false
% 0.21/0.45  % --preprocessed_out                    false
% 0.21/0.45  % --sub_typing                          false
% 0.21/0.45  % --brand_transform                     false
% 0.21/0.45  % --pure_diseq_elim                     true
% 0.21/0.45  % --min_unsat_core                      false
% 0.21/0.45  % --pred_elim                           true
% 0.21/0.45  % --add_important_lit                   false
% 0.21/0.45  % --soft_assumptions                    false
% 0.21/0.45  % --reset_solvers                       false
% 0.21/0.45  % --bc_imp_inh                          []
% 0.21/0.45  % --conj_cone_tolerance                 1.5
% 0.21/0.45  % --prolific_symb_bound                 500
% 0.21/0.45  % --lt_threshold                        2000
% 0.21/0.45  
% 0.21/0.45  % ------ SAT Options
% 0.21/0.45  
% 0.21/0.45  % --sat_mode                            false
% 0.21/0.45  % --sat_fm_restart_options              ""
% 0.21/0.45  % --sat_gr_def                          false
% 0.21/0.45  % --sat_epr_types                       true
% 0.21/0.45  % --sat_non_cyclic_types                false
% 0.21/0.45  % --sat_finite_models                   false
% 0.21/0.45  % --sat_fm_lemmas                       false
% 0.21/0.45  % --sat_fm_prep                         false
% 0.21/0.45  % --sat_fm_uc_incr                      true
% 0.21/0.45  % --sat_out_model                       small
% 0.21/0.45  % --sat_out_clauses                     false
% 0.21/0.45  
% 0.21/0.45  % ------ QBF Options
% 0.21/0.45  
% 0.21/0.45  % --qbf_mode                            false
% 0.21/0.45  % --qbf_elim_univ                       true
% 0.21/0.45  % --qbf_sk_in                           true
% 0.21/0.45  % --qbf_pred_elim                       true
% 0.21/0.45  % --qbf_split                           32
% 0.21/0.45  
% 0.21/0.45  % ------ BMC1 Options
% 0.21/0.45  
% 0.21/0.45  % --bmc1_incremental                    false
% 0.21/0.45  % --bmc1_axioms                         reachable_all
% 0.21/0.45  % --bmc1_min_bound                      0
% 0.21/0.45  % --bmc1_max_bound                      -1
% 0.21/0.45  % --bmc1_max_bound_default              -1
% 0.21/0.45  % --bmc1_symbol_reachability            true
% 0.21/0.45  % --bmc1_property_lemmas                false
% 0.21/0.45  % --bmc1_k_induction                    false
% 0.21/0.45  % --bmc1_non_equiv_states               false
% 0.21/0.45  % --bmc1_deadlock                       false
% 0.21/0.45  % --bmc1_ucm                            false
% 0.21/0.45  % --bmc1_add_unsat_core                 none
% 0.21/0.45  % --bmc1_unsat_core_children            false
% 0.21/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.45  % --bmc1_out_stat                       full
% 0.21/0.45  % --bmc1_ground_init                    false
% 0.21/0.45  % --bmc1_pre_inst_next_state            false
% 0.21/0.45  % --bmc1_pre_inst_state                 false
% 0.21/0.45  % --bmc1_pre_inst_reach_state           false
% 0.21/0.45  % --bmc1_out_unsat_core                 false
% 0.21/0.45  % --bmc1_aig_witness_out                false
% 0.21/0.45  % --bmc1_verbose                        false
% 0.21/0.45  % --bmc1_dump_clauses_tptp              false
% 0.21/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.46  % --bmc1_dump_file                      -
% 0.21/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.46  % --bmc1_ucm_extend_mode                1
% 0.21/0.46  % --bmc1_ucm_init_mode                  2
% 0.21/0.46  % --bmc1_ucm_cone_mode                  none
% 0.21/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.46  % --bmc1_ucm_relax_model                4
% 0.21/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.46  % --bmc1_ucm_layered_model              none
% 0.21/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.46  
% 0.21/0.46  % ------ AIG Options
% 0.21/0.46  
% 0.21/0.46  % --aig_mode                            false
% 0.21/0.46  
% 0.21/0.46  % ------ Instantiation Options
% 0.21/0.46  
% 0.21/0.46  % --instantiation_flag                  true
% 0.21/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46  % --inst_solver_per_active              750
% 0.21/0.46  % --inst_solver_calls_frac              0.5
% 0.21/0.46  % --inst_passive_queue_type             priority_queues
% 0.21/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46  % --inst_passive_queues_freq            [25;2]
% 0.21/0.46  % --inst_dismatching                    true
% 0.21/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.46  % --inst_prop_sim_given                 true
% 0.21/0.46  % --inst_prop_sim_new                   false
% 0.21/0.46  % --inst_orphan_elimination             true
% 0.21/0.46  % --inst_learning_loop_flag             true
% 0.21/0.46  % --inst_learning_start                 3000
% 0.21/0.46  % --inst_learning_factor                2
% 0.21/0.46  % --inst_start_prop_sim_after_learn     3
% 0.21/0.46  % --inst_sel_renew                      solver
% 0.21/0.46  % --inst_lit_activity_flag              true
% 0.21/0.46  % --inst_out_proof                      true
% 0.21/0.46  
% 0.21/0.46  % ------ Resolution Options
% 0.21/0.46  
% 0.21/0.46  % --resolution_flag                     true
% 0.21/0.46  % --res_lit_sel                         kbo_max
% 0.21/0.46  % --res_to_prop_solver                  none
% 0.21/0.46  % --res_prop_simpl_new                  false
% 0.21/0.46  % --res_prop_simpl_given                false
% 0.21/0.46  % --res_passive_queue_type              priority_queues
% 0.21/0.46  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.46  % --res_passive_queues_freq             [15;5]
% 0.21/0.46  % --res_forward_subs                    full
% 0.21/0.46  % --res_backward_subs                   full
% 0.21/0.46  % --res_forward_subs_resolution         true
% 0.21/0.46  % --res_backward_subs_resolution        true
% 0.21/0.46  % --res_orphan_elimination              false
% 0.21/0.46  % --res_time_limit                      1000.
% 0.21/0.46  % --res_out_proof                       true
% 0.21/0.46  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_77708f.s
% 0.21/0.46  % --modulo                              true
% 0.21/0.46  
% 0.21/0.46  % ------ Combination Options
% 0.21/0.46  
% 0.21/0.46  % --comb_res_mult                       1000
% 0.21/0.46  % --comb_inst_mult                      300
% 0.21/0.46  % ------ 
% 0.21/0.46  
% 0.21/0.46  % ------ Parsing...% successful
% 0.21/0.46  
% 0.21/0.46  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.46  
% 0.21/0.46  % ------ Proving...
% 0.21/0.46  % ------ Problem Properties 
% 0.21/0.46  
% 0.21/0.46  % 
% 0.21/0.46  % EPR                                   false
% 0.21/0.46  % Horn                                  false
% 0.21/0.46  % Has equality                          true
% 0.21/0.46  
% 0.21/0.46  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.46  
% 0.21/0.46  
% 0.21/0.46  % % ------ Current options:
% 0.21/0.46  
% 0.21/0.46  % ------ Input Options
% 0.21/0.46  
% 0.21/0.46  % --out_options                         all
% 0.21/0.46  % --tptp_safe_out                       true
% 0.21/0.46  % --problem_path                        ""
% 0.21/0.46  % --include_path                        ""
% 0.21/0.46  % --clausifier                          .//eprover
% 0.21/0.46  % --clausifier_options                  --tstp-format  
% 0.21/0.46  % --stdin                               false
% 0.21/0.46  % --dbg_backtrace                       false
% 0.21/0.46  % --dbg_dump_prop_clauses               false
% 0.21/0.46  % --dbg_dump_prop_clauses_file          -
% 0.21/0.46  % --dbg_out_stat                        false
% 0.21/0.46  
% 0.21/0.46  % ------ General Options
% 0.21/0.46  
% 0.21/0.46  % --fof                                 false
% 0.21/0.46  % --time_out_real                       150.
% 0.21/0.46  % --time_out_prep_mult                  0.2
% 0.21/0.46  % --time_out_virtual                    -1.
% 0.21/0.46  % --schedule                            none
% 0.21/0.46  % --ground_splitting                    input
% 0.21/0.46  % --splitting_nvd                       16
% 0.21/0.46  % --non_eq_to_eq                        false
% 0.21/0.46  % --prep_gs_sim                         true
% 0.21/0.46  % --prep_unflatten                      false
% 0.21/0.46  % --prep_res_sim                        true
% 0.21/0.46  % --prep_upred                          true
% 0.21/0.46  % --res_sim_input                       true
% 0.21/0.46  % --clause_weak_htbl                    true
% 0.21/0.46  % --gc_record_bc_elim                   false
% 0.21/0.46  % --symbol_type_check                   false
% 0.21/0.46  % --clausify_out                        false
% 0.21/0.46  % --large_theory_mode                   false
% 0.21/0.46  % --prep_sem_filter                     none
% 0.21/0.46  % --prep_sem_filter_out                 false
% 0.21/0.46  % --preprocessed_out                    false
% 0.21/0.46  % --sub_typing                          false
% 0.21/0.46  % --brand_transform                     false
% 0.21/0.46  % --pure_diseq_elim                     true
% 0.21/0.46  % --min_unsat_core                      false
% 0.21/0.46  % --pred_elim                           true
% 0.21/0.46  % --add_important_lit                   false
% 0.21/0.46  % --soft_assumptions                    false
% 0.21/0.46  % --reset_solvers                       false
% 0.21/0.46  % --bc_imp_inh                          []
% 0.21/0.46  % --conj_cone_tolerance                 1.5
% 0.21/0.46  % --prolific_symb_bound                 500
% 0.21/0.46  % --lt_threshold                        2000
% 0.21/0.46  
% 0.21/0.46  % ------ SAT Options
% 0.21/0.46  
% 0.21/0.46  % --sat_mode                            false
% 0.21/0.46  % --sat_fm_restart_options              ""
% 0.21/0.46  % --sat_gr_def                          false
% 0.21/0.46  % --sat_epr_types                       true
% 0.21/0.46  % --sat_non_cyclic_types                false
% 0.21/0.46  % --sat_finite_models                   false
% 0.21/0.46  % --sat_fm_lemmas                       false
% 0.21/0.46  % --sat_fm_prep                         false
% 0.21/0.46  % --sat_fm_uc_incr                      true
% 0.21/0.46  % --sat_out_model                       small
% 0.21/0.46  % --sat_out_clauses                     false
% 0.21/0.46  
% 0.21/0.46  % ------ QBF Options
% 0.21/0.46  
% 0.21/0.46  % --qbf_mode                            false
% 0.21/0.46  % --qbf_elim_univ                       true
% 0.21/0.46  % --qbf_sk_in                           true
% 0.21/0.46  % --qbf_pred_elim                       true
% 0.21/0.46  % --qbf_split                           32
% 0.21/0.46  
% 0.21/0.46  % ------ BMC1 Options
% 0.21/0.46  
% 0.21/0.46  % --bmc1_incremental                    false
% 0.21/0.46  % --bmc1_axioms                         reachable_all
% 0.21/0.46  % --bmc1_min_bound                      0
% 0.21/0.46  % --bmc1_max_bound                      -1
% 0.21/0.46  % --bmc1_max_bound_default              -1
% 0.21/0.46  % --bmc1_symbol_reachability            true
% 0.21/0.46  % --bmc1_property_lemmas                false
% 0.21/0.46  % --bmc1_k_induction                    false
% 0.21/0.46  % --bmc1_non_equiv_states               false
% 0.21/0.46  % --bmc1_deadlock                       false
% 0.21/0.46  % --bmc1_ucm                            false
% 0.21/0.46  % --bmc1_add_unsat_core                 none
% 0.21/0.46  % --bmc1_unsat_core_children            false
% 0.21/0.46  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.46  % --bmc1_out_stat                       full
% 0.21/0.46  % --bmc1_ground_init                    false
% 0.21/0.46  % --bmc1_pre_inst_next_state            false
% 0.21/0.46  % --bmc1_pre_inst_state                 false
% 0.21/0.46  % --bmc1_pre_inst_reach_state           false
% 0.21/0.46  % --bmc1_out_unsat_core                 false
% 0.21/0.46  % --bmc1_aig_witness_out                false
% 0.21/0.46  % --bmc1_verbose                        false
% 0.21/0.46  % --bmc1_dump_clauses_tptp              false
% 0.21/0.46  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.46  % --bmc1_dump_file                      -
% 0.21/0.46  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.46  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.46  % --bmc1_ucm_extend_mode                1
% 0.21/0.46  % --bmc1_ucm_init_mode                  2
% 0.21/0.46  % --bmc1_ucm_cone_mode                  none
% 0.21/0.46  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.46  % --bmc1_ucm_relax_model                4
% 0.21/0.46  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.46  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.46  % --bmc1_ucm_layered_model              none
% 0.21/0.46  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.46  
% 0.21/0.46  % ------ AIG Options
% 0.21/0.46  
% 0.21/0.46  % --aig_mode                            false
% 0.21/0.46  
% 0.21/0.46  % ------ Instantiation Options
% 0.21/0.46  
% 0.21/0.46  % --instantiation_flag                  true
% 0.21/0.46  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.46  % --inst_solver_per_active              750
% 0.21/0.46  % --inst_solver_calls_frac              0.5
% 0.21/0.46  % --inst_passive_queue_type             priority_queues
% 0.21/0.46  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.46  % --inst_passive_queues_freq            [25;2]
% 0.21/0.46  % --inst_dismatching                    true
% 0.21/0.46  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.46  % --inst_prop_sim_given                 true
% 0.21/0.47  % --inst_prop_sim_new                   false
% 0.21/0.47  % --inst_orphan_elimination             true
% 0.21/0.47  % --inst_learning_loop_flag             true
% 0.21/0.47  % --inst_learning_start                 3000
% 0.21/0.47  % --inst_learning_factor                2
% 0.21/0.47  % --inst_start_prop_sim_after_learn     3
% 0.21/0.47  % --inst_sel_renew                      solver
% 0.21/0.47  % --inst_lit_activity_flag              true
% 0.21/0.47  % --inst_out_proof                      true
% 0.21/0.47  
% 0.21/0.47  % ------ Resolution Options
% 0.21/0.47  
% 0.21/0.47  % --resolution_flag                     true
% 0.21/0.47  % --res_lit_sel                         kbo_max
% 0.21/0.47  % --res_to_prop_solver                  none
% 0.21/0.47  % --res_prop_simpl_new                  false
% 0.21/0.47  % --res_prop_simpl_given                false
% 0.21/0.47  % --res_passive_queue_type              priority_queues
% 0.21/0.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.47  % --res_passive_queues_freq             [15;5]
% 0.21/0.47  % --res_forward_subs                    full
% 0.21/0.47  % --res_backward_subs                   full
% 0.21/0.47  % --res_forward_subs_resolution         true
% 0.21/0.47  % --res_backward_subs_resolution        true
% 0.21/0.47  % --res_orphan_elimination              false
% 0.21/0.47  % --res_time_limit                      1000.
% 0.21/0.47  % --res_out_proof                       true
% 0.21/0.47  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_77708f.s
% 0.21/0.47  % --modulo                              true
% 0.21/0.47  
% 0.21/0.47  % ------ Combination Options
% 0.21/0.47  
% 0.21/0.47  % --comb_res_mult                       1000
% 0.21/0.47  % --comb_inst_mult                      300
% 0.21/0.47  % ------ 
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  % ------ Proving...
% 0.21/0.47  % warning:  shown sat in sat incomplete mode 
% 0.21/0.47  % 
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  cnf(c_65,plain,
% 0.21/0.47      ( ~ member(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X1)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_158_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_356,plain,
% 0.21/0.47      ( ~ member(ordered_pair(sk1_esk2_2(X0,X1),sk1_esk3_2(X0,X1)),X1)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_65]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_357,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ member(ordered_pair(sk1_esk2_2(X1,X0),sk1_esk3_2(X1,X0)),X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_356]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_64,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | subset(X0,domain(X2,X0,X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_159_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_354,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | subset(X0,domain(X2,X0,X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_64]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_355,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X1,X0))
% 0.21/0.47      | ~ subset(identity_relation_of(X0),X2)
% 0.21/0.47      | subset(X0,domain(X1,X0,X2)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_354]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_63,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X0,X2))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | subset(X0,range(X0,X2,X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_160_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_352,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X0,X2))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | subset(X0,range(X0,X2,X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_63]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_353,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X0,X1))
% 0.21/0.47      | ~ subset(identity_relation_of(X0),X2)
% 0.21/0.47      | subset(X0,range(X0,X1,X2)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_352]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_62,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ilf_type(range(X2,X0,X1),subset_type(X0))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_161_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_350,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ilf_type(range(X2,X0,X1),subset_type(X0))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_62]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_351,plain,
% 0.21/0.47      ( ilf_type(range(X0,X1,X2),subset_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X0,X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_350]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_61,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ilf_type(domain(X2,X0,X1),subset_type(X2))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_162_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_348,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ilf_type(domain(X2,X0,X1),subset_type(X2))
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_61]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_349,plain,
% 0.21/0.47      ( ilf_type(domain(X0,X1,X2),subset_type(X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X0,X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_348]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_60,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ ilf_type(X3,set_type)
% 0.21/0.47      | ~ member(ordered_pair(X2,X3),X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | member(ordered_pair(X2,X3),X1)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_163_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_346,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ ilf_type(X3,set_type)
% 0.21/0.47      | ~ member(ordered_pair(X2,X3),X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | member(ordered_pair(X2,X3),X1)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_60]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_347,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X3,binary_relation_type)
% 0.21/0.47      | ~ subset(X3,X2)
% 0.21/0.47      | ~ member(ordered_pair(X0,X1),X3)
% 0.21/0.47      | member(ordered_pair(X0,X1),X2) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_346]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_59,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | member(ordered_pair(sk1_esk2_2(X1,X0),sk1_esk3_2(X1,X0)),X1)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_164_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_344,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | member(ordered_pair(sk1_esk2_2(X1,X0),sk1_esk3_2(X1,X0)),X1)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_59]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_345,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | member(ordered_pair(sk1_esk2_2(X1,X0),sk1_esk3_2(X1,X0)),X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_344]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_58,plain,
% 0.21/0.47      ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ilf_type(X0,relation_type(X1,X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_165_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_342,plain,
% 0.21/0.47      ( ~ ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ilf_type(X0,relation_type(X1,X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_58]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_343,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.21/0.47      | ilf_type(X2,relation_type(X1,X0)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_342]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_57,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | range(X2,X0,X1) = X0
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_166_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_340,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | range(X2,X0,X1) = X0
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_57]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_341,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X1,X0))
% 0.21/0.47      | ~ subset(identity_relation_of(X0),X2)
% 0.21/0.47      | range(X1,X0,X2) = X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_340]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_56,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X0,X2))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | domain(X0,X2,X1) = X0
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_167_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_338,plain,
% 0.21/0.47      ( ~ subset(identity_relation_of(X0),X1)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X0,X2))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | domain(X0,X2,X1) = X0
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_56]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_339,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X0,X1))
% 0.21/0.47      | ~ subset(identity_relation_of(X0),X2)
% 0.21/0.47      | domain(X0,X1,X2) = X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_338]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_55,plain,
% 0.21/0.47      ( ~ ilf_type(X0,relation_type(X1,X2))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_168_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_336,plain,
% 0.21/0.47      ( ~ ilf_type(X0,relation_type(X1,X2))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ilf_type(X0,subset_type(cross_product(X1,X2)))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_55]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_337,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X1,X0)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_336]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_54,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | range(X2,X0,X1) = range_of(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_169_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_334,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | range(X2,X0,X1) = range_of(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_54]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_335,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X1,X0))
% 0.21/0.47      | range(X1,X0,X2) = range_of(X2) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_334]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_53,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | domain(X2,X0,X1) = domain_of(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_170_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_332,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,relation_type(X2,X0))
% 0.21/0.47      | domain(X2,X0,X1) = domain_of(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_53]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_333,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,relation_type(X1,X0))
% 0.21/0.47      | domain(X1,X0,X2) = domain_of(X2) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_332]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_52,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
% 0.21/0.47      | relation_like(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_171_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_330,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,subset_type(cross_product(X2,X0)))
% 0.21/0.47      | relation_like(X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_52]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_331,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,subset_type(cross_product(X1,X0)))
% 0.21/0.47      | relation_like(X2) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_330]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_51,plain,
% 0.21/0.47      ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(X0,X2)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_172_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_328,plain,
% 0.21/0.47      ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(X0,X2)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_51]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_329,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.21/0.47      | member(X1,X2) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_328]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_50,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ordered_pair(sk1_esk8_2(X1,X0),sk1_esk9_2(X1,X0)) = X0
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_173_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_326,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ordered_pair(sk1_esk8_2(X1,X0),sk1_esk9_2(X1,X0)) = X0
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_50]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_327,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ~ member(X0,X1)
% 0.21/0.47      | ordered_pair(sk1_esk8_2(X1,X0),sk1_esk9_2(X1,X0)) = X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_326]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_49,plain,
% 0.21/0.47      ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | X0 = X1
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_174_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_324,plain,
% 0.21/0.47      ( ~ member(ordered_pair(X0,X1),identity_relation_of(X2))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | X0 = X1
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_49]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_325,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.21/0.47      | X1 = X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_324]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_48,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | X0 != X2
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(ordered_pair(X0,X2),identity_relation_of(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_175_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_322,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | X0 != X2
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(ordered_pair(X0,X2),identity_relation_of(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_48]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_323,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | member(ordered_pair(X1,X0),identity_relation_of(X2))
% 0.21/0.47      | ~ member(X1,X2)
% 0.21/0.47      | X1 != X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_322]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_47,plain,
% 0.21/0.47      ( ~ member(X0,power_set(X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(X2,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X2,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_176_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_320,plain,
% 0.21/0.47      ( ~ member(X0,power_set(X1))
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(X2,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X2,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_47]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_321,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(X2,power_set(X1))
% 0.21/0.47      | ~ member(X0,X2)
% 0.21/0.47      | member(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_320]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_46,plain,
% 0.21/0.47      ( ~ member(sk1_esk7_2(X0,X1),X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X0,power_set(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_177_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_318,plain,
% 0.21/0.47      ( ~ member(sk1_esk7_2(X0,X1),X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X0,power_set(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_46]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_319,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ member(sk1_esk7_2(X1,X0),X0)
% 0.21/0.47      | member(X1,power_set(X0)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_318]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_45,plain,
% 0.21/0.47      ( ~ ilf_type(X0,relation_type(X1,X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_178_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_316,plain,
% 0.21/0.47      ( ~ ilf_type(X0,relation_type(X1,X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_45]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_317,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ~ ilf_type(X0,relation_type(X1,X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_316]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_44,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(X2,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X2,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_179_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_314,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ member(X2,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X2,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_44]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_315,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | ~ subset(X2,X1)
% 0.21/0.47      | ~ member(X0,X2)
% 0.21/0.47      | member(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_314]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_43,plain,
% 0.21/0.47      ( ~ member(sk1_esk6_2(X0,X1),X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_180_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_312,plain,
% 0.21/0.47      ( ~ member(sk1_esk6_2(X0,X1),X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_43]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_313,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ member(sk1_esk6_2(X1,X0),X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_312]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_42,plain,
% 0.21/0.47      ( ~ ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,relation_type(X1,X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_181_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_310,plain,
% 0.21/0.47      ( ~ ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,relation_type(X1,X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_42]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_311,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,identity_relation_of_type(X1))
% 0.21/0.47      | ilf_type(X0,relation_type(X1,X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_310]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_41,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,subset_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_182_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_308,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,subset_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_41]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_309,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ilf_type(X0,subset_type(X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_308]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_40,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ilf_type(sk1_esk8_2(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_183_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_306,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ilf_type(sk1_esk8_2(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_40]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_307,plain,
% 0.21/0.47      ( ilf_type(sk1_esk8_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X0)
% 0.21/0.47      | ~ member(X1,X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_306]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_39,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ilf_type(sk1_esk9_2(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_184_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_304,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X1)
% 0.21/0.47      | ilf_type(sk1_esk9_2(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_39]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_305,plain,
% 0.21/0.47      ( ilf_type(sk1_esk9_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ relation_like(X0)
% 0.21/0.47      | ~ member(X1,X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_304]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_38,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk4_2(X1,X0),relation_type(X0,X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_185_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_302,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk4_2(X1,X0),relation_type(X0,X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_38]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_303,plain,
% 0.21/0.47      ( ilf_type(sk1_esk4_2(X0,X1),relation_type(X1,X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_302]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_37,plain,
% 0.21/0.47      ( ~ ilf_type(X0,subset_type(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_186_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_300,plain,
% 0.21/0.47      ( ~ ilf_type(X0,subset_type(X1))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_37]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_301,plain,
% 0.21/0.47      ( ilf_type(X0,member_type(power_set(X1)))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,subset_type(X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_300]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_36,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(sk1_esk7_2(X1,X0),X1)
% 0.21/0.47      | member(X1,power_set(X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_187_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_298,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(sk1_esk7_2(X1,X0),X1)
% 0.21/0.47      | member(X1,power_set(X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_36]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_299,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(sk1_esk7_2(X1,X0),X1)
% 0.21/0.47      | member(X1,power_set(X0)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_298]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_35,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk7_2(X1,X0),set_type)
% 0.21/0.47      | member(X1,power_set(X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_188_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_296,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk7_2(X1,X0),set_type)
% 0.21/0.47      | member(X1,power_set(X0))
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_35]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_297,plain,
% 0.21/0.47      ( ilf_type(sk1_esk7_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(X0,power_set(X1)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_296]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_34,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(sk1_esk6_2(X1,X0),X1)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_189_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_294,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | member(sk1_esk6_2(X1,X0),X1)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_34]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_295,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | member(sk1_esk6_2(X1,X0),X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_294]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_33,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | sk1_esk10_1(X2) != ordered_pair(X0,X1)
% 0.21/0.47      | relation_like(X2)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_190_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_292,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | sk1_esk10_1(X2) != ordered_pair(X0,X1)
% 0.21/0.47      | relation_like(X2)
% 0.21/0.47      | ~ ilf_type(X2,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_33]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_293,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X2,set_type)
% 0.21/0.47      | relation_like(X2)
% 0.21/0.47      | sk1_esk10_1(X2) != ordered_pair(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_292]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_32,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk6_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_191_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_290,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(sk1_esk6_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_32]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_291,plain,
% 0.21/0.47      ( ilf_type(sk1_esk6_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | subset(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_290]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_31,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ilf_type(sk1_esk2_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_192_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_288,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ilf_type(sk1_esk2_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_31]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_289,plain,
% 0.21/0.47      ( ilf_type(sk1_esk2_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | subset(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_288]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_30,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ilf_type(sk1_esk3_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_193_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_286,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ilf_type(sk1_esk3_2(X1,X0),set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_30]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_287,plain,
% 0.21/0.47      ( ilf_type(sk1_esk3_2(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | subset(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_286]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_29,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X0,X1)
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_194_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_284,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | member(X0,X1)
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_29]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_285,plain,
% 0.21/0.47      ( ~ ilf_type(X0,member_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | member(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_284]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_28,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ilf_type(X0,member_type(X1))
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_195_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_282,plain,
% 0.21/0.47      ( ~ member(X0,X1)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ilf_type(X0,member_type(X1))
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_28]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_283,plain,
% 0.21/0.47      ( ilf_type(X0,member_type(X1))
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X1)
% 0.21/0.47      | ~ member(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_282]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_27,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | X0 = X1
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_196_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_280,plain,
% 0.21/0.47      ( ~ subset(X0,X1)
% 0.21/0.47      | ~ subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | X0 = X1
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_27]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_281,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ subset(X1,X0)
% 0.21/0.47      | ~ subset(X0,X1)
% 0.21/0.47      | X1 = X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_280]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_26,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(cross_product(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_197_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_278,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(cross_product(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_26]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_279,plain,
% 0.21/0.47      ( ilf_type(cross_product(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_278]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_25,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(ordered_pair(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_198_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_276,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(ordered_pair(X1,X0),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_25]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_277,plain,
% 0.21/0.47      ( ilf_type(ordered_pair(X0,X1),set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_276]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_24,plain,
% 0.21/0.47      ( ~ empty(X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ member(X1,X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_199_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_274,plain,
% 0.21/0.47      ( ~ empty(X0)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ member(X1,X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_24]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_275,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | ~ empty(X1)
% 0.21/0.47      | ~ member(X0,X1) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_274]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_23,plain,
% 0.21/0.47      ( ~ relation_like(X0)
% 0.21/0.47      | ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_200_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_272,plain,
% 0.21/0.47      ( ~ relation_like(X0)
% 0.21/0.47      | ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_23]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_273,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ilf_type(X0,binary_relation_type)
% 0.21/0.47      | ~ relation_like(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_272]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_22,plain,
% 0.21/0.47      ( X0 != X1
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_201_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_270,plain,
% 0.21/0.47      ( X0 != X1
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_22]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_271,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | X1 != X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_270]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_21,plain,
% 0.21/0.47      ( X0 != X1
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_202_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_268,plain,
% 0.21/0.47      ( X0 != X1
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X1,X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_21]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_269,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X1,set_type)
% 0.21/0.47      | subset(X0,X1)
% 0.21/0.47      | X1 != X0 ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_268]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_19,plain,
% 0.21/0.47      ( ~ empty(X0) | ~ ilf_type(X0,set_type) | relation_like(X0) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_204_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_264,plain,
% 0.21/0.47      ( ~ empty(X0) | ~ ilf_type(X0,set_type) | relation_like(X0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_19]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_265,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type) | ~ empty(X0) | relation_like(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_264]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_16,plain,
% 0.21/0.47      ( member(sk1_esk11_1(X0),X0) | empty(X0) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_207_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_258,plain,
% 0.21/0.47      ( member(sk1_esk11_1(X0),X0) | empty(X0) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_16]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_259,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type) | empty(X0) | member(sk1_esk11_1(X0),X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_258]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_15,plain,
% 0.21/0.47      ( member(sk1_esk10_1(X0),X0)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_208_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_256,plain,
% 0.21/0.47      ( member(sk1_esk10_1(X0),X0)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_15]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_257,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | member(sk1_esk10_1(X0),X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_256]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_14,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_209_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_254,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_14]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_255,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type)
% 0.21/0.47      | relation_like(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_254]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_13,plain,
% 0.21/0.47      ( ilf_type(sk1_esk11_1(X0),set_type)
% 0.21/0.47      | empty(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_210_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_252,plain,
% 0.21/0.47      ( ilf_type(sk1_esk11_1(X0),set_type)
% 0.21/0.47      | empty(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_13]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_253,plain,
% 0.21/0.47      ( ilf_type(sk1_esk11_1(X0),set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_252]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_12,plain,
% 0.21/0.47      ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_211_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_250,plain,
% 0.21/0.47      ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.21/0.47      | relation_like(X0)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_12]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_251,plain,
% 0.21/0.47      ( ilf_type(sk1_esk10_1(X0),set_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | relation_like(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_250]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_7,plain,
% 0.21/0.47      ( ~ empty(power_set(X0)) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_216_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_240,plain,
% 0.21/0.47      ( ~ empty(power_set(X0)) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_7]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_241,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type) | ~ empty(power_set(X0)) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_240]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_6,plain,
% 0.21/0.47      ( subset(X0,X0) | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_217_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_238,plain,
% 0.21/0.47      ( subset(X0,X0) | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_6]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_239,plain,
% 0.21/0.47      ( ~ ilf_type(X0,binary_relation_type) | subset(X0,X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_238]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_5,plain,
% 0.21/0.47      ( subset(X0,X0) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_218_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_236,plain,
% 0.21/0.47      ( subset(X0,X0) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_5]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_237,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type) | subset(X0,X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_236]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_0,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X0)
% 0.21/0.47      | ilf_type(sk2_esk1_1(X0),member_type(X0)) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_8_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_226,plain,
% 0.21/0.47      ( ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X0)
% 0.21/0.47      | ilf_type(sk2_esk1_1(X0),member_type(X0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_0]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_227,plain,
% 0.21/0.47      ( ilf_type(sk2_esk1_1(X0),member_type(X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type)
% 0.21/0.47      | empty(X0) ),
% 0.21/0.47      inference(rewriting,[status(thm)],[c_226]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_68,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_9) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_132,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_68]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_146,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_132]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_149,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_146]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_154,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_149]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_362,negated_conjecture,
% 0.21/0.47      ( subset(identity_relation_of(sk3_esk1_0),sk3_esk2_0) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_154]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_67,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_8) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_130,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_67]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_145,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_130]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_150,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_145]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_153,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_150]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_360,negated_conjecture,
% 0.21/0.47      ( ilf_type(sk3_esk2_0,identity_relation_of_type(sk3_esk1_0)) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_153]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_66,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_7) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_128,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      inference(copy,[status(esa)],[c_66]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_144,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      inference(copy,[status(esa)],[c_128]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_151,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      inference(copy,[status(esa)],[c_144]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_152,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      inference(copy,[status(esa)],[c_151]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_358,negated_conjecture,
% 0.21/0.47      ( domain(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0
% 0.21/0.47      | range(sk3_esk1_0,sk3_esk1_0,sk3_esk2_0) != sk3_esk1_0 ),
% 0.21/0.47      inference(copy,[status(esa)],[c_152]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_18,plain,
% 0.21/0.47      ( ilf_type(sk1_esk5_1(X0),subset_type(X0)) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_205_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_262,plain,
% 0.21/0.47      ( ilf_type(sk1_esk5_1(X0),subset_type(X0)) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_18]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_17,plain,
% 0.21/0.47      ( ilf_type(sk1_esk1_1(X0),identity_relation_of_type(X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_206_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_260,plain,
% 0.21/0.47      ( ilf_type(sk1_esk1_1(X0),identity_relation_of_type(X0))
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_17]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_11,plain,
% 0.21/0.47      ( ilf_type(power_set(X0),set_type) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_212_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_248,plain,
% 0.21/0.47      ( ilf_type(power_set(X0),set_type) | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_11]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_10,plain,
% 0.21/0.47      ( ilf_type(range_of(X0),set_type) | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_213_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_246,plain,
% 0.21/0.47      ( ilf_type(range_of(X0),set_type) | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_10]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_9,plain,
% 0.21/0.47      ( ilf_type(domain_of(X0),set_type)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_214_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_244,plain,
% 0.21/0.47      ( ilf_type(domain_of(X0),set_type)
% 0.21/0.47      | ~ ilf_type(X0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_9]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_8,plain,
% 0.21/0.47      ( ilf_type(identity_relation_of(X0),binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_215_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_242,plain,
% 0.21/0.47      ( ilf_type(identity_relation_of(X0),binary_relation_type)
% 0.21/0.47      | ~ ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_8]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_4,plain,
% 0.21/0.47      ( ilf_type(X0,set_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_219_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_234,negated_conjecture,
% 0.21/0.47      ( ilf_type(X0,set_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_4]) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_3,plain,
% 0.21/0.47      ( ilf_type(sk2_esk2_0,binary_relation_type) ),
% 0.21/0.47      file('/export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p', c_0_9_0) ).
% 0.21/0.47  
% 0.21/0.47  cnf(c_232,plain,
% 0.21/0.47      ( ilf_type(sk2_esk2_0,binary_relation_type) ),
% 0.21/0.47      inference(copy,[status(esa)],[c_3]) ).
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  
% 0.21/0.47  % ------                             Statistics
% 0.21/0.47  
% 0.21/0.47  % ------ General
% 0.21/0.47  
% 0.21/0.47  % num_of_input_clauses:                 70
% 0.21/0.47  % num_of_input_neg_conjectures:         4
% 0.21/0.47  % num_of_splits:                        0
% 0.21/0.47  % num_of_split_atoms:                   0
% 0.21/0.47  % num_of_sem_filtered_clauses:          0
% 0.21/0.47  % num_of_subtypes:                      0
% 0.21/0.47  % monotx_restored_types:                0
% 0.21/0.47  % sat_num_of_epr_types:                 0
% 0.21/0.47  % sat_num_of_non_cyclic_types:          0
% 0.21/0.47  % sat_guarded_non_collapsed_types:      0
% 0.21/0.47  % is_epr:                               0
% 0.21/0.47  % is_horn:                              0
% 0.21/0.47  % has_eq:                               1
% 0.21/0.47  % num_pure_diseq_elim:                  0
% 0.21/0.47  % simp_replaced_by:                     0
% 0.21/0.47  % res_preprocessed:                     8
% 0.21/0.47  % prep_upred:                           0
% 0.21/0.47  % prep_unflattend:                      0
% 0.21/0.47  % pred_elim_cands:                      0
% 0.21/0.47  % pred_elim:                            0
% 0.21/0.47  % pred_elim_cl:                         0
% 0.21/0.47  % pred_elim_cycles:                     0
% 0.21/0.47  % forced_gc_time:                       0
% 0.21/0.47  % gc_basic_clause_elim:                 0
% 0.21/0.47  % parsing_time:                         0.003
% 0.21/0.47  % sem_filter_time:                      0.
% 0.21/0.47  % pred_elim_time:                       0.
% 0.21/0.47  % out_proof_time:                       0.
% 0.21/0.47  % monotx_time:                          0.
% 0.21/0.47  % subtype_inf_time:                     0.
% 0.21/0.47  % unif_index_cands_time:                0.
% 0.21/0.47  % unif_index_add_time:                  0.
% 0.21/0.47  % total_time:                           0.04
% 0.21/0.47  % num_of_symbols:                       59
% 0.21/0.47  % num_of_terms:                         389
% 0.21/0.47  
% 0.21/0.47  % ------ Propositional Solver
% 0.21/0.47  
% 0.21/0.47  % prop_solver_calls:                    1
% 0.21/0.47  % prop_fast_solver_calls:               15
% 0.21/0.47  % prop_num_of_clauses:                  125
% 0.21/0.47  % prop_preprocess_simplified:           177
% 0.21/0.47  % prop_fo_subsumed:                     0
% 0.21/0.47  % prop_solver_time:                     0.
% 0.21/0.47  % prop_fast_solver_time:                0.
% 0.21/0.47  % prop_unsat_core_time:                 0.
% 0.21/0.47  
% 0.21/0.47  % ------ QBF 
% 0.21/0.47  
% 0.21/0.47  % qbf_q_res:                            0
% 0.21/0.47  % qbf_num_tautologies:                  0
% 0.21/0.47  % qbf_prep_cycles:                      0
% 0.21/0.47  
% 0.21/0.47  % ------ BMC1
% 0.21/0.47  
% 0.21/0.47  % bmc1_current_bound:                   -1
% 0.21/0.47  % bmc1_last_solved_bound:               -1
% 0.21/0.47  % bmc1_unsat_core_size:                 -1
% 0.21/0.47  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.47  % bmc1_merge_next_fun:                  0
% 0.21/0.47  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.47  
% 0.21/0.47  % ------ Instantiation
% 0.21/0.47  
% 0.21/0.47  % inst_num_of_clauses:                  70
% 0.21/0.47  % inst_num_in_passive:                  0
% 0.21/0.47  % inst_num_in_active:                   0
% 0.21/0.47  % inst_num_in_unprocessed:              70
% 0.21/0.47  % inst_num_of_loops:                    0
% 0.21/0.47  % inst_num_of_learning_restarts:        0
% 0.21/0.47  % inst_num_moves_active_passive:        0
% 0.21/0.47  % inst_lit_activity:                    0
% 0.21/0.47  % inst_lit_activity_moves:              0
% 0.21/0.47  % inst_num_tautologies:                 0
% 0.21/0.47  % inst_num_prop_implied:                0
% 0.21/0.47  % inst_num_existing_simplified:         0
% 0.21/0.47  % inst_num_eq_res_simplified:           0
% 0.21/0.47  % inst_num_child_elim:                  0
% 0.21/0.47  % inst_num_of_dismatching_blockings:    0
% 0.21/0.47  % inst_num_of_non_proper_insts:         0
% 0.21/0.47  % inst_num_of_duplicates:               0
% 0.21/0.47  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.47  % inst_dismatching_checking_time:       0.
% 0.21/0.47  
% 0.21/0.47  % ------ Resolution
% 0.21/0.47  
% 0.21/0.47  % res_num_of_clauses:                   124
% 0.21/0.47  % res_num_in_passive:                   0
% 0.21/0.47  % res_num_in_active:                    66
% 0.21/0.47  % res_num_of_loops:                     5
% 0.21/0.47  % res_forward_subset_subsumed:          2
% 0.21/0.48  % res_backward_subset_subsumed:         0
% 0.21/0.48  % res_forward_subsumed:                 1
% 0.21/0.48  % res_backward_subsumed:                0
% 0.21/0.48  % res_forward_subsumption_resolution:   0
% 0.21/0.48  % res_backward_subsumption_resolution:  0
% 0.21/0.48  % res_clause_to_clause_subsumption:     1
% 0.21/0.48  % res_orphan_elimination:               0
% 0.21/0.48  % res_tautology_del:                    1
% 0.21/0.48  % res_num_eq_res_simplified:            0
% 0.21/0.48  % res_num_sel_changes:                  0
% 0.21/0.48  % res_moves_from_active_to_pass:        0
% 0.21/0.48  
% 0.21/0.48  % Status Unknown
% 0.21/0.53  % Orienting using strategy ClausalAll
% 0.21/0.53  % FOF problem with conjecture
% 0.21/0.53  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_77708f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_f7b27b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a8487b | grep -v "SZS"
% 0.38/0.55  
% 0.38/0.55  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.38/0.55  
% 0.38/0.55  % 
% 0.38/0.55  % ------  iProver source info 
% 0.38/0.55  
% 0.38/0.55  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.38/0.55  % git: non_committed_changes: true
% 0.38/0.55  % git: last_make_outside_of_git: true
% 0.38/0.55  
% 0.38/0.55  % 
% 0.38/0.55  % ------ Input Options
% 0.38/0.55  
% 0.38/0.55  % --out_options                         all
% 0.38/0.55  % --tptp_safe_out                       true
% 0.38/0.55  % --problem_path                        ""
% 0.38/0.55  % --include_path                        ""
% 0.38/0.55  % --clausifier                          .//eprover
% 0.38/0.55  % --clausifier_options                  --tstp-format  
% 0.38/0.55  % --stdin                               false
% 0.38/0.55  % --dbg_backtrace                       false
% 0.38/0.55  % --dbg_dump_prop_clauses               false
% 0.38/0.55  % --dbg_dump_prop_clauses_file          -
% 0.38/0.55  % --dbg_out_stat                        false
% 0.38/0.55  
% 0.38/0.55  % ------ General Options
% 0.38/0.55  
% 0.38/0.55  % --fof                                 false
% 0.38/0.55  % --time_out_real                       150.
% 0.38/0.55  % --time_out_prep_mult                  0.2
% 0.38/0.55  % --time_out_virtual                    -1.
% 0.38/0.55  % --schedule                            none
% 0.38/0.55  % --ground_splitting                    input
% 0.38/0.55  % --splitting_nvd                       16
% 0.38/0.55  % --non_eq_to_eq                        false
% 0.38/0.55  % --prep_gs_sim                         true
% 0.38/0.55  % --prep_unflatten                      false
% 0.38/0.55  % --prep_res_sim                        true
% 0.38/0.55  % --prep_upred                          true
% 0.38/0.55  % --res_sim_input                       true
% 0.38/0.55  % --clause_weak_htbl                    true
% 0.38/0.55  % --gc_record_bc_elim                   false
% 0.38/0.55  % --symbol_type_check                   false
% 0.38/0.55  % --clausify_out                        false
% 0.38/0.55  % --large_theory_mode                   false
% 0.38/0.55  % --prep_sem_filter                     none
% 0.38/0.55  % --prep_sem_filter_out                 false
% 0.38/0.55  % --preprocessed_out                    false
% 0.38/0.55  % --sub_typing                          false
% 0.38/0.55  % --brand_transform                     false
% 0.38/0.55  % --pure_diseq_elim                     true
% 0.38/0.55  % --min_unsat_core                      false
% 0.38/0.55  % --pred_elim                           true
% 0.38/0.55  % --add_important_lit                   false
% 0.38/0.55  % --soft_assumptions                    false
% 0.38/0.55  % --reset_solvers                       false
% 0.38/0.55  % --bc_imp_inh                          []
% 0.38/0.55  % --conj_cone_tolerance                 1.5
% 0.38/0.55  % --prolific_symb_bound                 500
% 0.38/0.55  % --lt_threshold                        2000
% 0.38/0.55  
% 0.38/0.55  % ------ SAT Options
% 0.38/0.55  
% 0.38/0.55  % --sat_mode                            false
% 0.38/0.55  % --sat_fm_restart_options              ""
% 0.38/0.55  % --sat_gr_def                          false
% 0.38/0.55  % --sat_epr_types                       true
% 0.38/0.55  % --sat_non_cyclic_types                false
% 0.38/0.55  % --sat_finite_models                   false
% 0.38/0.55  % --sat_fm_lemmas                       false
% 0.38/0.55  % --sat_fm_prep                         false
% 0.38/0.55  % --sat_fm_uc_incr                      true
% 0.38/0.55  % --sat_out_model                       small
% 0.38/0.55  % --sat_out_clauses                     false
% 0.38/0.55  
% 0.38/0.55  % ------ QBF Options
% 0.38/0.55  
% 0.38/0.55  % --qbf_mode                            false
% 0.38/0.55  % --qbf_elim_univ                       true
% 0.38/0.55  % --qbf_sk_in                           true
% 0.38/0.55  % --qbf_pred_elim                       true
% 0.38/0.55  % --qbf_split                           32
% 0.38/0.55  
% 0.38/0.55  % ------ BMC1 Options
% 0.38/0.55  
% 0.38/0.55  % --bmc1_incremental                    false
% 0.38/0.55  % --bmc1_axioms                         reachable_all
% 0.38/0.55  % --bmc1_min_bound                      0
% 0.38/0.55  % --bmc1_max_bound                      -1
% 0.38/0.55  % --bmc1_max_bound_default              -1
% 0.38/0.55  % --bmc1_symbol_reachability            true
% 0.38/0.55  % --bmc1_property_lemmas                false
% 0.38/0.55  % --bmc1_k_induction                    false
% 0.38/0.55  % --bmc1_non_equiv_states               false
% 0.38/0.55  % --bmc1_deadlock                       false
% 0.38/0.55  % --bmc1_ucm                            false
% 0.38/0.55  % --bmc1_add_unsat_core                 none
% 0.38/0.55  % --bmc1_unsat_core_children            false
% 0.38/0.55  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.38/0.55  % --bmc1_out_stat                       full
% 0.38/0.55  % --bmc1_ground_init                    false
% 0.38/0.55  % --bmc1_pre_inst_next_state            false
% 0.38/0.55  % --bmc1_pre_inst_state                 false
% 0.38/0.55  % --bmc1_pre_inst_reach_state           false
% 0.38/0.55  % --bmc1_out_unsat_core                 false
% 0.38/0.55  % --bmc1_aig_witness_out                false
% 0.38/0.55  % --bmc1_verbose                        false
% 0.38/0.55  % --bmc1_dump_clauses_tptp              false
% 0.38/0.58  % --bmc1_dump_unsat_core_tptp           false
% 0.38/0.58  % --bmc1_dump_file                      -
% 0.38/0.58  % --bmc1_ucm_expand_uc_limit            128
% 0.38/0.58  % --bmc1_ucm_n_expand_iterations        6
% 0.38/0.58  % --bmc1_ucm_extend_mode                1
% 0.38/0.58  % --bmc1_ucm_init_mode                  2
% 0.38/0.58  % --bmc1_ucm_cone_mode                  none
% 0.38/0.58  % --bmc1_ucm_reduced_relation_type      0
% 0.38/0.58  % --bmc1_ucm_relax_model                4
% 0.38/0.58  % --bmc1_ucm_full_tr_after_sat          true
% 0.38/0.58  % --bmc1_ucm_expand_neg_assumptions     false
% 0.38/0.58  % --bmc1_ucm_layered_model              none
% 0.38/0.58  % --bmc1_ucm_max_lemma_size             10
% 0.38/0.58  
% 0.38/0.58  % ------ AIG Options
% 0.38/0.58  
% 0.38/0.58  % --aig_mode                            false
% 0.38/0.58  
% 0.38/0.58  % ------ Instantiation Options
% 0.38/0.58  
% 0.38/0.58  % --instantiation_flag                  true
% 0.38/0.58  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.38/0.58  % --inst_solver_per_active              750
% 0.38/0.58  % --inst_solver_calls_frac              0.5
% 0.38/0.58  % --inst_passive_queue_type             priority_queues
% 0.38/0.58  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.38/0.58  % --inst_passive_queues_freq            [25;2]
% 0.38/0.58  % --inst_dismatching                    true
% 0.38/0.58  % --inst_eager_unprocessed_to_passive   true
% 0.38/0.58  % --inst_prop_sim_given                 true
% 0.38/0.58  % --inst_prop_sim_new                   false
% 0.38/0.58  % --inst_orphan_elimination             true
% 0.38/0.58  % --inst_learning_loop_flag             true
% 0.38/0.58  % --inst_learning_start                 3000
% 0.38/0.58  % --inst_learning_factor                2
% 0.38/0.58  % --inst_start_prop_sim_after_learn     3
% 0.38/0.58  % --inst_sel_renew                      solver
% 0.38/0.58  % --inst_lit_activity_flag              true
% 0.38/0.58  % --inst_out_proof                      true
% 0.38/0.58  
% 0.38/0.58  % ------ Resolution Options
% 0.38/0.58  
% 0.38/0.58  % --resolution_flag                     true
% 0.38/0.58  % --res_lit_sel                         kbo_max
% 0.38/0.58  % --res_to_prop_solver                  none
% 0.38/0.58  % --res_prop_simpl_new                  false
% 0.38/0.58  % --res_prop_simpl_given                false
% 0.38/0.58  % --res_passive_queue_type              priority_queues
% 0.38/0.58  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.38/0.58  % --res_passive_queues_freq             [15;5]
% 0.38/0.58  % --res_forward_subs                    full
% 0.38/0.58  % --res_backward_subs                   full
% 0.38/0.58  % --res_forward_subs_resolution         true
% 0.38/0.58  % --res_backward_subs_resolution        true
% 0.38/0.58  % --res_orphan_elimination              false
% 0.38/0.58  % --res_time_limit                      1000.
% 0.38/0.58  % --res_out_proof                       true
% 0.38/0.58  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_77708f.s
% 0.38/0.58  % --modulo                              true
% 0.38/0.58  
% 0.38/0.58  % ------ Combination Options
% 0.38/0.58  
% 0.38/0.58  % --comb_res_mult                       1000
% 0.38/0.58  % --comb_inst_mult                      300
% 0.38/0.58  % ------ 
% 0.38/0.58  
% 0.38/0.58  % ------ Parsing...% successful
% 0.38/0.58  
% 0.38/0.58  % ------ 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 % 
% 0.38/0.58  
% 0.38/0.58  % ------ Proving...
% 0.38/0.58  % ------ Problem Properties 
% 0.38/0.58  
% 0.38/0.58  % 
% 0.38/0.58  % EPR                                   false
% 0.38/0.58  % Horn                                  false
% 0.38/0.58  % Has equality                          true
% 0.38/0.58  
% 0.38/0.58  % % ------ Input Options Time Limit: Unbounded
% 0.38/0.58  
% 0.38/0.58  
% 0.38/0.58  % % ------ Current options:
% 0.38/0.58  
% 0.38/0.58  % ------ Input Options
% 0.38/0.58  
% 0.38/0.58  % --out_options                         all
% 0.38/0.58  % --tptp_safe_out                       true
% 0.38/0.58  % --problem_path                        ""
% 0.38/0.58  % --include_path                        ""
% 0.38/0.58  % --clausifier                          .//eprover
% 0.38/0.58  % --clausifier_options                  --tstp-format  
% 0.38/0.58  % --stdin                               false
% 0.38/0.58  % --dbg_backtrace                       false
% 0.38/0.58  % --dbg_dump_prop_clauses               false
% 0.38/0.58  % --dbg_dump_prop_clauses_file          -
% 0.38/0.58  % --dbg_out_stat                        false
% 0.38/0.58  
% 0.38/0.58  % ------ General Options
% 0.38/0.58  
% 0.38/0.58  % --fof                                 false
% 0.38/0.58  % --time_out_real                       150.
% 0.38/0.58  % --time_out_prep_mult                  0.2
% 0.38/0.58  % --time_out_virtual                    -1.
% 0.38/0.58  % --schedule                            none
% 0.38/0.58  % --ground_splitting                    input
% 0.38/0.58  % --splitting_nvd                       16
% 0.38/0.58  % --non_eq_to_eq                        false
% 0.38/0.58  % --prep_gs_sim                         true
% 0.38/0.58  % --prep_unflatten                      false
% 0.38/0.58  % --prep_res_sim                        true
% 0.38/0.58  % --prep_upred                          true
% 0.38/0.58  % --res_sim_input                       true
% 0.38/0.58  % --clause_weak_htbl                    true
% 0.38/0.58  % --gc_record_bc_elim                   false
% 0.38/0.58  % --symbol_type_check                   false
% 0.38/0.58  % --clausify_out                        false
% 0.38/0.58  % --large_theory_mode                   false
% 0.38/0.58  % --prep_sem_filter                     none
% 0.38/0.58  % --prep_sem_filter_out                 false
% 0.38/0.58  % --preprocessed_out                    false
% 0.38/0.58  % --sub_typing                          false
% 0.38/0.58  % --brand_transform                     false
% 0.38/0.58  % --pure_diseq_elim                     true
% 0.38/0.58  % --min_unsat_core                      false
% 0.38/0.58  % --pred_elim                           true
% 0.38/0.58  % --add_important_lit                   false
% 0.38/0.58  % --soft_assumptions                    false
% 0.38/0.58  % --reset_solvers                       false
% 0.38/0.58  % --bc_imp_inh                          []
% 0.38/0.58  % --conj_cone_tolerance                 1.5
% 0.38/0.58  % --prolific_symb_bound                 500
% 0.38/0.58  % --lt_threshold                        2000
% 0.38/0.58  
% 0.38/0.58  % ------ SAT Options
% 0.38/0.58  
% 0.38/0.58  % --sat_mode                            false
% 0.38/0.58  % --sat_fm_restart_options              ""
% 0.38/0.58  % --sat_gr_def                          false
% 0.38/0.58  % --sat_epr_types                       true
% 0.38/0.58  % --sat_non_cyclic_types                false
% 0.38/0.58  % --sat_finite_models                   false
% 0.38/0.58  % --sat_fm_lemmas                       false
% 0.38/0.58  % --sat_fm_prep                         false
% 0.38/0.58  % --sat_fm_uc_incr                      true
% 0.38/0.58  % --sat_out_model                       small
% 0.38/0.58  % --sat_out_clauses                     false
% 0.38/0.58  
% 0.38/0.58  % ------ QBF Options
% 0.38/0.58  
% 0.38/0.58  % --qbf_mode                            false
% 0.38/0.58  % --qbf_elim_univ                       true
% 0.38/0.58  % --qbf_sk_in                           true
% 0.38/0.58  % --qbf_pred_elim                       true
% 0.38/0.58  % --qbf_split                           32
% 0.38/0.58  
% 0.38/0.58  % ------ BMC1 Options
% 0.38/0.58  
% 0.38/0.58  % --bmc1_incremental                    false
% 0.38/0.58  % --bmc1_axioms                         reachable_all
% 0.38/0.58  % --bmc1_min_bound                      0
% 0.38/0.58  % --bmc1_max_bound                      -1
% 0.38/0.58  % --bmc1_max_bound_default              -1
% 0.38/0.58  % --bmc1_symbol_reachability            true
% 0.38/0.58  % --bmc1_property_lemmas                false
% 0.38/0.58  % --bmc1_k_induction                    false
% 0.38/0.58  % --bmc1_non_equiv_states               false
% 0.38/0.58  % --bmc1_deadlock                       false
% 0.38/0.58  % --bmc1_ucm                            false
% 0.38/0.58  % --bmc1_add_unsat_core                 none
% 0.38/0.58  % --bmc1_unsat_core_children            false
% 0.38/0.58  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.38/0.58  % --bmc1_out_stat                       full
% 0.38/0.58  % --bmc1_ground_init                    false
% 0.38/0.58  % --bmc1_pre_inst_next_state            false
% 0.38/0.58  % --bmc1_pre_inst_state                 false
% 0.38/0.58  % --bmc1_pre_inst_reach_state           false
% 0.38/0.58  % --bmc1_out_unsat_core                 false
% 0.38/0.58  % --bmc1_aig_witness_out                false
% 0.38/0.58  % --bmc1_verbose                        false
% 0.38/0.58  % --bmc1_dump_clauses_tptp              false
% 0.38/0.58  % --bmc1_dump_unsat_core_tptp           false
% 0.38/0.58  % --bmc1_dump_file                      -
% 0.38/0.58  % --bmc1_ucm_expand_uc_limit            128
% 0.38/0.58  % --bmc1_ucm_n_expand_iterations        6
% 0.38/0.58  % --bmc1_ucm_extend_mode                1
% 0.38/0.58  % --bmc1_ucm_init_mode                  2
% 0.38/0.58  % --bmc1_ucm_cone_mode                  none
% 0.38/0.58  % --bmc1_ucm_reduced_relation_type      0
% 0.38/0.58  % --bmc1_ucm_relax_model                4
% 0.38/0.58  % --bmc1_ucm_full_tr_after_sat          true
% 0.38/0.58  % --bmc1_ucm_expand_neg_assumptions     false
% 0.38/0.58  % --bmc1_ucm_layered_model              none
% 0.38/0.58  % --bmc1_ucm_max_lemma_size             10
% 0.38/0.58  
% 0.38/0.58  % ------ AIG Options
% 0.38/0.58  
% 0.38/0.58  % --aig_mode                            false
% 0.38/0.58  
% 0.38/0.58  % ------ Instantiation Options
% 0.38/0.58  
% 0.38/0.58  % --instantiation_flag                  true
% 0.38/0.58  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.38/0.58  % --inst_solver_per_active              750
% 0.38/0.58  % --inst_solver_calls_frac              0.5
% 0.38/0.58  % --inst_passive_queue_type             priority_queues
% 0.38/0.58  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.38/0.58  % --inst_passive_queues_freq            [25;2]
% 0.38/0.58  % --inst_dismatching                    true
% 0.38/0.58  % --inst_eager_unprocessed_to_passive   true
% 0.38/0.58  % --inst_prop_sim_given                 true
% 3.45/3.63  % --inst_prop_sim_new                   false
% 3.45/3.63  % --inst_orphan_elimination             true
% 3.45/3.63  % --inst_learning_loop_flag             true
% 3.45/3.63  % --inst_learning_start                 3000
% 3.45/3.63  % --inst_learning_factor                2
% 3.45/3.63  % --inst_start_prop_sim_after_learn     3
% 3.45/3.63  % --inst_sel_renew                      solver
% 3.45/3.63  % --inst_lit_activity_flag              true
% 3.45/3.63  % --inst_out_proof                      true
% 3.45/3.63  
% 3.45/3.63  % ------ Resolution Options
% 3.45/3.63  
% 3.45/3.63  % --resolution_flag                     true
% 3.45/3.63  % --res_lit_sel                         kbo_max
% 3.45/3.63  % --res_to_prop_solver                  none
% 3.45/3.63  % --res_prop_simpl_new                  false
% 3.45/3.63  % --res_prop_simpl_given                false
% 3.45/3.63  % --res_passive_queue_type              priority_queues
% 3.45/3.63  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.45/3.63  % --res_passive_queues_freq             [15;5]
% 3.45/3.63  % --res_forward_subs                    full
% 3.45/3.63  % --res_backward_subs                   full
% 3.45/3.63  % --res_forward_subs_resolution         true
% 3.45/3.63  % --res_backward_subs_resolution        true
% 3.45/3.63  % --res_orphan_elimination              false
% 3.45/3.63  % --res_time_limit                      1000.
% 3.45/3.63  % --res_out_proof                       true
% 3.45/3.63  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_77708f.s
% 3.45/3.63  % --modulo                              true
% 3.45/3.63  
% 3.45/3.63  % ------ Combination Options
% 3.45/3.63  
% 3.45/3.63  % --comb_res_mult                       1000
% 3.45/3.63  % --comb_inst_mult                      300
% 3.45/3.63  % ------ 
% 3.45/3.63  
% 3.45/3.63  
% 3.45/3.63  
% 3.45/3.63  % ------ Proving...
% 3.45/3.63  % 
% 3.45/3.63  
% 3.45/3.63  
% 3.45/3.63  % ------                             Statistics
% 3.45/3.63  
% 3.45/3.63  % ------ General
% 3.45/3.63  
% 3.45/3.63  % num_of_input_clauses:                 247
% 3.45/3.63  % num_of_input_neg_conjectures:         4
% 3.45/3.63  % num_of_splits:                        0
% 3.45/3.63  % num_of_split_atoms:                   0
% 3.45/3.63  % num_of_sem_filtered_clauses:          0
% 3.45/3.63  % num_of_subtypes:                      0
% 3.45/3.63  % monotx_restored_types:                0
% 3.45/3.63  % sat_num_of_epr_types:                 0
% 3.45/3.63  % sat_num_of_non_cyclic_types:          0
% 3.45/3.63  % sat_guarded_non_collapsed_types:      0
% 3.45/3.63  % is_epr:                               0
% 3.45/3.63  % is_horn:                              0
% 3.45/3.63  % has_eq:                               1
% 3.45/3.63  % num_pure_diseq_elim:                  0
% 3.45/3.63  % simp_replaced_by:                     0
% 3.45/3.63  % res_preprocessed:                     8
% 3.45/3.63  % prep_upred:                           0
% 3.45/3.63  % prep_unflattend:                      0
% 3.45/3.63  % pred_elim_cands:                      0
% 3.45/3.63  % pred_elim:                            0
% 3.45/3.63  % pred_elim_cl:                         0
% 3.45/3.63  % pred_elim_cycles:                     0
% 3.45/3.63  % forced_gc_time:                       0
% 3.45/3.63  % gc_basic_clause_elim:                 0
% 3.45/3.63  % parsing_time:                         0.013
% 3.45/3.63  % sem_filter_time:                      0.
% 3.45/3.63  % pred_elim_time:                       0.
% 3.45/3.63  % out_proof_time:                       0.
% 3.45/3.63  % monotx_time:                          0.
% 3.45/3.63  % subtype_inf_time:                     0.
% 3.45/3.63  % unif_index_cands_time:                0.027
% 3.45/3.63  % unif_index_add_time:                  0.007
% 3.45/3.63  % total_time:                           3.097
% 3.45/3.63  % num_of_symbols:                       59
% 3.45/3.63  % num_of_terms:                         19140
% 3.45/3.63  
% 3.45/3.63  % ------ Propositional Solver
% 3.45/3.63  
% 3.45/3.63  % prop_solver_calls:                    5
% 3.45/3.63  % prop_fast_solver_calls:               15
% 3.45/3.63  % prop_num_of_clauses:                  645
% 3.45/3.63  % prop_preprocess_simplified:           2112
% 3.45/3.63  % prop_fo_subsumed:                     0
% 3.45/3.63  % prop_solver_time:                     0.
% 3.45/3.63  % prop_fast_solver_time:                0.
% 3.45/3.63  % prop_unsat_core_time:                 0.
% 3.45/3.63  
% 3.45/3.63  % ------ QBF 
% 3.45/3.63  
% 3.45/3.63  % qbf_q_res:                            0
% 3.45/3.63  % qbf_num_tautologies:                  0
% 3.45/3.63  % qbf_prep_cycles:                      0
% 3.45/3.63  
% 3.45/3.63  % ------ BMC1
% 3.45/3.63  
% 3.45/3.63  % bmc1_current_bound:                   -1
% 3.45/3.63  % bmc1_last_solved_bound:               -1
% 3.45/3.63  % bmc1_unsat_core_size:                 -1
% 3.45/3.63  % bmc1_unsat_core_parents_size:         -1
% 3.45/3.63  % bmc1_merge_next_fun:                  0
% 3.45/3.63  % bmc1_unsat_core_clauses_time:         0.
% 3.45/3.63  
% 3.45/3.63  % ------ Instantiation
% 3.45/3.63  
% 3.45/3.63  % inst_num_of_clauses:                  575
% 3.45/3.63  % inst_num_in_passive:                  23
% 3.45/3.63  % inst_num_in_active:                   355
% 3.45/3.63  % inst_num_in_unprocessed:              193
% 3.45/3.63  % inst_num_of_loops:                    444
% 3.45/3.63  % inst_num_of_learning_restarts:        0
% 3.45/3.63  % inst_num_moves_active_passive:        83
% 3.45/3.63  % inst_lit_activity:                    102
% 3.45/3.63  % inst_lit_activity_moves:              0
% 3.45/3.63  % inst_num_tautologies:                 3
% 3.45/3.63  % inst_num_prop_implied:                0
% 3.45/3.63  % inst_num_existing_simplified:         0
% 3.45/3.63  % inst_num_eq_res_simplified:           0
% 3.45/3.63  % inst_num_child_elim:                  0
% 3.45/3.63  % inst_num_of_dismatching_blockings:    56
% 3.45/3.63  % inst_num_of_non_proper_insts:         379
% 3.45/3.63  % inst_num_of_duplicates:               967
% 3.45/3.63  % inst_inst_num_from_inst_to_res:       0
% 3.45/3.63  % inst_dismatching_checking_time:       0.
% 3.45/3.63  
% 3.45/3.63  % ------ Resolution
% 3.45/3.63  
% 3.45/3.63  % res_num_of_clauses:                   4298
% 3.45/3.63  % res_num_in_passive:                   2375
% 3.45/3.63  % res_num_in_active:                    1677
% 3.45/3.63  % res_num_of_loops:                     2000
% 3.45/3.63  % res_forward_subset_subsumed:          796
% 3.45/3.63  % res_backward_subset_subsumed:         1
% 3.45/3.63  % res_forward_subsumed:                 277
% 3.45/3.63  % res_backward_subsumed:                0
% 3.45/3.63  % res_forward_subsumption_resolution:   3255
% 3.45/3.63  % res_backward_subsumption_resolution:  0
% 3.45/3.63  % res_clause_to_clause_subsumption:     53252
% 3.45/3.63  % res_orphan_elimination:               0
% 3.45/3.63  % res_tautology_del:                    451
% 3.45/3.63  % res_num_eq_res_simplified:            0
% 3.45/3.63  % res_num_sel_changes:                  0
% 3.45/3.63  % res_moves_from_active_to_pass:        0
% 3.45/3.63  
% 3.45/3.63  % Status Unsatisfiable
% 3.45/3.63  % SZS status Theorem
% 3.45/3.63  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------