TSTP Solution File: SET688+4 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n029.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 02:15:24 EDT 2022

% Result   : Theorem 4.71s 4.92s
% Output   : CNFRefutation 4.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :  194 (  21 unt;   0 def)
%            Number of atoms       :  486 (  38 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  514 ( 222   ~; 230   |;  36   &)
%                                         (  20 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;   7 con; 0-2 aty)
%            Number of variables   :  451 (  35 sgn 112   !;   2   ?)

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

fof(c_0_1,axiom,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    file('<stdin>',difference) ).

fof(c_0_2,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('<stdin>',intersection) ).

fof(c_0_3,axiom,
    ! [X3,X1] :
      ( member(X3,product(X1))
    <=> ! [X5] :
          ( member(X5,X1)
         => member(X3,X5) ) ),
    file('<stdin>',product) ).

fof(c_0_4,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    file('<stdin>',subset) ).

fof(c_0_5,axiom,
    ! [X3,X1] :
      ( member(X3,sum(X1))
    <=> ? [X5] :
          ( member(X5,X1)
          & member(X3,X5) ) ),
    file('<stdin>',sum) ).

fof(c_0_6,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( X3 = X1
        | X3 = X2 ) ),
    file('<stdin>',unordered_pair) ).

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

fof(c_0_8,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    file('<stdin>',power_set) ).

fof(c_0_9,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    file('<stdin>',singleton) ).

fof(c_0_10,axiom,
    ! [X3] : ~ member(X3,empty_set),
    file('<stdin>',empty_set) ).

fof(c_0_11,axiom,
    ! [X3,X1,X2] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    c_0_0 ).

fof(c_0_12,plain,
    ! [X2,X1,X4] :
      ( member(X2,difference(X4,X1))
    <=> ( member(X2,X4)
        & ~ member(X2,X1) ) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_13,axiom,
    ! [X3,X1,X2] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    c_0_2 ).

fof(c_0_14,axiom,
    ! [X3,X1] :
      ( member(X3,product(X1))
    <=> ! [X5] :
          ( member(X5,X1)
         => member(X3,X5) ) ),
    c_0_3 ).

fof(c_0_15,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    c_0_4 ).

fof(c_0_16,axiom,
    ! [X3,X1] :
      ( member(X3,sum(X1))
    <=> ? [X5] :
          ( member(X5,X1)
          & member(X3,X5) ) ),
    c_0_5 ).

fof(c_0_17,axiom,
    ! [X3,X1,X2] :
      ( member(X3,unordered_pair(X1,X2))
    <=> ( X3 = X1
        | X3 = X2 ) ),
    c_0_6 ).

fof(c_0_18,axiom,
    ! [X1,X2] :
      ( equal_set(X1,X2)
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    c_0_7 ).

fof(c_0_19,axiom,
    ! [X3,X1] :
      ( member(X3,power_set(X1))
    <=> subset(X3,X1) ),
    c_0_8 ).

fof(c_0_20,axiom,
    ! [X3,X1] :
      ( member(X3,singleton(X1))
    <=> X3 = X1 ),
    c_0_9 ).

fof(c_0_21,plain,
    ! [X3] : ~ member(X3,empty_set),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_22,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X4,union(X5,X6))
        | member(X4,X5)
        | member(X4,X6) )
      & ( ~ member(X7,X8)
        | member(X7,union(X8,X9)) )
      & ( ~ member(X7,X9)
        | member(X7,union(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).

fof(c_0_23,plain,
    ! [X5,X6,X7,X8,X9,X10] :
      ( ( member(X5,X7)
        | ~ member(X5,difference(X7,X6)) )
      & ( ~ member(X5,X6)
        | ~ member(X5,difference(X7,X6)) )
      & ( ~ member(X8,X10)
        | member(X8,X9)
        | member(X8,difference(X10,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).

fof(c_0_24,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( member(X4,X5)
        | ~ member(X4,intersection(X5,X6)) )
      & ( member(X4,X6)
        | ~ member(X4,intersection(X5,X6)) )
      & ( ~ member(X7,X8)
        | ~ member(X7,X9)
        | member(X7,intersection(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).

fof(c_0_25,plain,
    ! [X6,X7,X8,X9,X10] :
      ( ( ~ member(X6,product(X7))
        | ~ member(X8,X7)
        | member(X6,X8) )
      & ( member(esk3_2(X9,X10),X10)
        | member(X9,product(X10)) )
      & ( ~ member(X9,esk3_2(X9,X10))
        | member(X9,product(X10)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])]) ).

fof(c_0_26,plain,
    ! [X4,X5,X6,X7,X8] :
      ( ( ~ subset(X4,X5)
        | ~ member(X6,X4)
        | member(X6,X5) )
      & ( member(esk1_2(X7,X8),X7)
        | subset(X7,X8) )
      & ( ~ member(esk1_2(X7,X8),X8)
        | subset(X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])]) ).

fof(c_0_27,plain,
    ! [X6,X7,X9,X10,X11] :
      ( ( member(esk2_2(X6,X7),X7)
        | ~ member(X6,sum(X7)) )
      & ( member(X6,esk2_2(X6,X7))
        | ~ member(X6,sum(X7)) )
      & ( ~ member(X11,X10)
        | ~ member(X9,X11)
        | member(X9,sum(X10)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])])]) ).

fof(c_0_28,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X4,unordered_pair(X5,X6))
        | X4 = X5
        | X4 = X6 )
      & ( X7 != X8
        | member(X7,unordered_pair(X8,X9)) )
      & ( X7 != X9
        | member(X7,unordered_pair(X8,X9)) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).

fof(c_0_29,plain,
    ! [X3,X4,X5,X6] :
      ( ( subset(X3,X4)
        | ~ equal_set(X3,X4) )
      & ( subset(X4,X3)
        | ~ equal_set(X3,X4) )
      & ( ~ subset(X5,X6)
        | ~ subset(X6,X5)
        | equal_set(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).

fof(c_0_30,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ member(X4,power_set(X5))
        | subset(X4,X5) )
      & ( ~ subset(X6,X7)
        | member(X6,power_set(X7)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).

fof(c_0_31,plain,
    ! [X4,X5,X6,X7] :
      ( ( ~ member(X4,singleton(X5))
        | X4 = X5 )
      & ( X6 != X7
        | member(X6,singleton(X7)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])]) ).

fof(c_0_32,plain,
    ! [X4] : ~ member(X4,empty_set),
    inference(variable_rename,[status(thm)],[c_0_21]) ).

cnf(c_0_33,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_34,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_35,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_36,plain,
    ( member(X1,product(X2))
    | ~ member(X1,esk3_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_37,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_38,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_39,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_40,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_41,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_42,plain,
    ( member(esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_43,plain,
    ( member(X1,esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_44,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_45,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_46,plain,
    ( member(X1,sum(X2))
    | ~ member(X1,X3)
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

cnf(c_0_47,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_48,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_49,plain,
    ( member(X1,product(X2))
    | member(esk3_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_50,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_51,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_52,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_26]) ).

cnf(c_0_53,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_54,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_55,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    inference(split_conjunct,[status(thm)],[c_0_28]) ).

cnf(c_0_56,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_57,plain,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_58,plain,
    ( subset(X2,X1)
    | ~ equal_set(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_29]) ).

cnf(c_0_59,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_60,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

cnf(c_0_61,plain,
    ~ member(X1,empty_set),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_62,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    c_0_33,
    [final] ).

cnf(c_0_63,plain,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    c_0_34,
    [final] ).

cnf(c_0_64,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_35,
    [final] ).

cnf(c_0_65,plain,
    ( member(X1,product(X2))
    | ~ member(X1,esk3_2(X1,X2)) ),
    c_0_36,
    [final] ).

cnf(c_0_66,plain,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    c_0_37,
    [final] ).

cnf(c_0_67,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_38,
    [final] ).

cnf(c_0_68,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_39,
    [final] ).

cnf(c_0_69,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    c_0_40,
    [final] ).

cnf(c_0_70,plain,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_41,
    [final] ).

cnf(c_0_71,plain,
    ( member(esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    c_0_42,
    [final] ).

cnf(c_0_72,plain,
    ( member(X1,esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    c_0_43,
    [final] ).

cnf(c_0_73,plain,
    ( member(X1,X2)
    | ~ member(X2,X3)
    | ~ member(X1,product(X3)) ),
    c_0_44,
    [final] ).

cnf(c_0_74,plain,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    c_0_45,
    [final] ).

cnf(c_0_75,plain,
    ( member(X1,sum(X2))
    | ~ member(X1,X3)
    | ~ member(X3,X2) ),
    c_0_46,
    [final] ).

cnf(c_0_76,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    c_0_47,
    [final] ).

cnf(c_0_77,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    c_0_48,
    [final] ).

cnf(c_0_78,plain,
    ( member(X1,product(X2))
    | member(esk3_2(X1,X2),X2) ),
    c_0_49,
    [final] ).

cnf(c_0_79,plain,
    ( equal_set(X1,X2)
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    c_0_50,
    [final] ).

cnf(c_0_80,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    c_0_51,
    [final] ).

cnf(c_0_81,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    c_0_52,
    [final] ).

cnf(c_0_82,plain,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    c_0_53,
    [final] ).

cnf(c_0_83,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    c_0_54,
    [final] ).

cnf(c_0_84,plain,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    c_0_55,
    [final] ).

cnf(c_0_85,plain,
    ( member(X1,power_set(X2))
    | ~ subset(X1,X2) ),
    c_0_56,
    [final] ).

cnf(c_0_86,plain,
    ( subset(X1,X2)
    | ~ equal_set(X1,X2) ),
    c_0_57,
    [final] ).

cnf(c_0_87,plain,
    ( subset(X2,X1)
    | ~ equal_set(X1,X2) ),
    c_0_58,
    [final] ).

cnf(c_0_88,plain,
    ( X1 = X2
    | ~ member(X1,singleton(X2)) ),
    c_0_59,
    [final] ).

cnf(c_0_89,plain,
    ( member(X1,singleton(X2))
    | X1 != X2 ),
    c_0_60,
    [final] ).

cnf(c_0_90,plain,
    ~ member(X1,empty_set),
    c_0_61,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_62_0,axiom,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_1,axiom,
    ( member(X1,X3)
    | member(X1,X2)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_62_2,axiom,
    ( ~ member(X1,union(X3,X2))
    | member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_62]) ).

cnf(c_0_63_0,axiom,
    ( ~ member(X1,difference(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_63_1,axiom,
    ( ~ member(X1,X3)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_63]) ).

cnf(c_0_64_0,axiom,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,intersection(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_64_2,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_64]) ).

cnf(c_0_65_0,axiom,
    ( member(X1,product(X2))
    | ~ member(X1,sk1_esk3_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_65]) ).

cnf(c_0_65_1,axiom,
    ( ~ member(X1,sk1_esk3_2(X1,X2))
    | member(X1,product(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_65]) ).

cnf(c_0_66_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_66_1,axiom,
    ( ~ member(X1,difference(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_66]) ).

cnf(c_0_67_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_67_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_67]) ).

cnf(c_0_68_0,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_68_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_68]) ).

cnf(c_0_69_0,axiom,
    ( subset(X1,X2)
    | ~ member(sk1_esk1_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_69_1,axiom,
    ( ~ member(sk1_esk1_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_69]) ).

cnf(c_0_70_0,axiom,
    ( member(X1,difference(X2,X3))
    | member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_1,axiom,
    ( member(X1,X3)
    | member(X1,difference(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_70_2,axiom,
    ( ~ member(X1,X2)
    | member(X1,X3)
    | member(X1,difference(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_70]) ).

cnf(c_0_71_0,axiom,
    ( member(sk1_esk2_2(X1,X2),X2)
    | ~ member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_71_1,axiom,
    ( ~ member(X1,sum(X2))
    | member(sk1_esk2_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_71]) ).

cnf(c_0_72_0,axiom,
    ( member(X1,sk1_esk2_2(X1,X2))
    | ~ member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

cnf(c_0_72_1,axiom,
    ( ~ member(X1,sum(X2))
    | member(X1,sk1_esk2_2(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_72]) ).

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

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

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

cnf(c_0_74_0,axiom,
    ( X1 = X2
    | X1 = X3
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_1,axiom,
    ( X1 = X3
    | X1 = X2
    | ~ member(X1,unordered_pair(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

cnf(c_0_74_2,axiom,
    ( ~ member(X1,unordered_pair(X3,X2))
    | X1 = X3
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_74]) ).

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

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

cnf(c_0_75_2,axiom,
    ( ~ member(X3,X2)
    | ~ member(X1,X3)
    | member(X1,sum(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_75]) ).

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

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

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

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

cnf(c_0_78_0,axiom,
    ( member(X1,product(X2))
    | member(sk1_esk3_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

cnf(c_0_78_1,axiom,
    ( member(sk1_esk3_2(X1,X2),X2)
    | member(X1,product(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_78]) ).

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

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

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

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

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

cnf(c_0_80_2,axiom,
    ( ~ subset(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_80]) ).

cnf(c_0_81_0,axiom,
    ( subset(X1,X2)
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_81_1,axiom,
    ( member(sk1_esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_81]) ).

cnf(c_0_82_0,axiom,
    ( subset(X1,X2)
    | ~ member(X1,power_set(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_82_1,axiom,
    ( ~ member(X1,power_set(X2))
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_82]) ).

cnf(c_0_83_0,axiom,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_83_1,axiom,
    ( X1 != X2
    | member(X1,unordered_pair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_83]) ).

cnf(c_0_84_0,axiom,
    ( member(X1,unordered_pair(X2,X3))
    | X1 != X3 ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

cnf(c_0_84_1,axiom,
    ( X1 != X3
    | member(X1,unordered_pair(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_84]) ).

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

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

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

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

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

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

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

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

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

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

cnf(c_0_90_0,axiom,
    ~ member(X1,empty_set),
    inference(literals_permutation,[status(thm)],[c_0_90]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3] :
      ( ( subset(X1,X2)
        & ~ equal_set(X1,X2)
        & subset(X2,X3)
        & ~ equal_set(X2,X3) )
     => ~ equal_set(X1,X3) ),
    file('<stdin>',thI04) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ( subset(X1,X2)
          & ~ equal_set(X1,X2)
          & subset(X2,X3)
          & ~ equal_set(X2,X3) )
       => ~ equal_set(X1,X3) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).

fof(c_0_2_003,negated_conjecture,
    ( subset(esk1_0,esk2_0)
    & ~ equal_set(esk1_0,esk2_0)
    & subset(esk2_0,esk3_0)
    & ~ equal_set(esk2_0,esk3_0)
    & equal_set(esk1_0,esk3_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,
    ~ equal_set(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ~ equal_set(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_6_007,negated_conjecture,
    subset(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    equal_set(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8_009,negated_conjecture,
    ~ equal_set(esk1_0,esk2_0),
    c_0_3,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    ~ equal_set(esk2_0,esk3_0),
    c_0_4,
    [final] ).

cnf(c_0_10_011,negated_conjecture,
    subset(esk1_0,esk2_0),
    c_0_5,
    [final] ).

cnf(c_0_11_012,negated_conjecture,
    subset(esk2_0,esk3_0),
    c_0_6,
    [final] ).

cnf(c_0_12_013,negated_conjecture,
    equal_set(esk1_0,esk3_0),
    c_0_7,
    [final] ).

% End CNF derivation

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

cnf(c_19,plain,
    ( member(X0,X1)
    | ~ member(X0,X2)
    | ~ subset(X2,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_80_2) ).

cnf(c_146,plain,
    ( member(X0,X1)
    | ~ member(X0,X2)
    | ~ subset(X2,X1) ),
    inference(copy,[status(esa)],[c_19]) ).

cnf(c_98663,plain,
    ( member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk2_0)
    | ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),X0)
    | ~ subset(X0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_146]) ).

cnf(c_276570,plain,
    ( ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk1_0)
    | member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk2_0)
    | ~ subset(sk2_esk1_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_98663]) ).

cnf(c_98853,plain,
    ( member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),X0)
    | ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),X1)
    | ~ subset(X1,X0) ),
    inference(instantiation,[status(thm)],[c_146]) ).

cnf(c_99424,plain,
    ( ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),X0)
    | ~ subset(sk2_esk3_0,X0) ),
    inference(instantiation,[status(thm)],[c_98853]) ).

cnf(c_99449,plain,
    ( member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk1_0)
    | ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk3_0)
    | ~ subset(sk2_esk3_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_99424]) ).

cnf(c_5,plain,
    ( subset(X0,X1)
    | ~ equal_set(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_87_1) ).

cnf(c_132,plain,
    ( subset(X0,X1)
    | ~ equal_set(X1,X0) ),
    inference(copy,[status(esa)],[c_5]) ).

cnf(c_98829,plain,
    ( ~ equal_set(sk2_esk1_0,X0)
    | subset(X0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_132]) ).

cnf(c_99147,plain,
    ( ~ equal_set(sk2_esk1_0,sk2_esk3_0)
    | subset(sk2_esk3_0,sk2_esk1_0) ),
    inference(instantiation,[status(thm)],[c_98829]) ).

cnf(c_48,plain,
    ( ~ member(sk1_esk1_2(X0,X1),X1)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_69_0) ).

cnf(c_175,plain,
    ( ~ member(sk1_esk1_2(X0,X1),X1)
    | subset(X0,X1) ),
    inference(copy,[status(esa)],[c_48]) ).

cnf(c_98585,plain,
    ( ~ member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk2_0)
    | subset(sk2_esk3_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_175]) ).

cnf(c_18,plain,
    ( member(sk1_esk1_2(X0,X1),X0)
    | subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_81_0) ).

cnf(c_145,plain,
    ( member(sk1_esk1_2(X0,X1),X0)
    | subset(X0,X1) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_98587,plain,
    ( member(sk1_esk1_2(sk2_esk3_0,sk2_esk2_0),sk2_esk3_0)
    | subset(sk2_esk3_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_145]) ).

cnf(c_22,plain,
    ( equal_set(X0,X1)
    | ~ subset(X1,X0)
    | ~ subset(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_79_2) ).

cnf(c_149,plain,
    ( equal_set(X0,X1)
    | ~ subset(X1,X0)
    | ~ subset(X0,X1) ),
    inference(copy,[status(esa)],[c_22]) ).

cnf(c_98512,plain,
    ( equal_set(sk2_esk2_0,sk2_esk3_0)
    | ~ subset(sk2_esk2_0,sk2_esk3_0)
    | ~ subset(sk2_esk3_0,sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_149]) ).

cnf(c_66,negated_conjecture,
    ~ equal_set(sk2_esk2_0,sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_9) ).

cnf(c_67,negated_conjecture,
    subset(sk2_esk1_0,sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_10) ).

cnf(c_68,negated_conjecture,
    subset(sk2_esk2_0,sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_11) ).

cnf(c_69,negated_conjecture,
    equal_set(sk2_esk1_0,sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p',c_0_12) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_276570,c_99449,c_99147,c_98585,c_98587,c_98512,c_66,c_67,c_68,c_69]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET688+4 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n029.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jul 10 21:25:01 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.20/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.40  % FOF problem with conjecture
% 0.20/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_37a665.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0b4535 | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.20/0.43  % --inst_prop_sim_new                   false
% 0.20/0.43  % --inst_orphan_elimination             true
% 0.20/0.43  % --inst_learning_loop_flag             true
% 0.20/0.43  % --inst_learning_start                 3000
% 0.20/0.43  % --inst_learning_factor                2
% 0.20/0.43  % --inst_start_prop_sim_after_learn     3
% 0.20/0.43  % --inst_sel_renew                      solver
% 0.20/0.43  % --inst_lit_activity_flag              true
% 0.20/0.43  % --inst_out_proof                      true
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution Options
% 0.20/0.43  
% 0.20/0.43  % --resolution_flag                     true
% 0.20/0.43  % --res_lit_sel                         kbo_max
% 0.20/0.43  % --res_to_prop_solver                  none
% 0.20/0.43  % --res_prop_simpl_new                  false
% 0.20/0.43  % --res_prop_simpl_given                false
% 0.20/0.43  % --res_passive_queue_type              priority_queues
% 0.20/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.43  % --res_passive_queues_freq             [15;5]
% 0.20/0.43  % --res_forward_subs                    full
% 0.20/0.43  % --res_backward_subs                   full
% 0.20/0.43  % --res_forward_subs_resolution         true
% 0.20/0.43  % --res_backward_subs_resolution        true
% 0.20/0.43  % --res_orphan_elimination              false
% 0.20/0.43  % --res_time_limit                      1000.
% 0.20/0.43  % --res_out_proof                       true
% 0.20/0.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_37a665.s
% 0.20/0.43  % --modulo                              true
% 0.20/0.43  
% 0.20/0.43  % ------ Combination Options
% 0.20/0.43  
% 0.20/0.43  % --comb_res_mult                       1000
% 0.20/0.43  % --comb_inst_mult                      300
% 0.20/0.43  % ------ 
% 0.20/0.43  
% 0.20/0.43  % ------ Parsing...% successful
% 0.20/0.43  
% 0.20/0.43  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % ------ Problem Properties 
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % EPR                                   false
% 0.20/0.43  % Horn                                  false
% 0.20/0.43  % Has equality                          true
% 0.20/0.43  
% 0.20/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % % ------ Current options:
% 0.20/0.43  
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.43  % --bmc1_dump_file                      -
% 0.20/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.43  % --bmc1_ucm_extend_mode                1
% 0.20/0.43  % --bmc1_ucm_init_mode                  2
% 0.20/0.43  % --bmc1_ucm_cone_mode                  none
% 0.20/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.43  % --bmc1_ucm_relax_model                4
% 0.20/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.43  % --bmc1_ucm_layered_model              none
% 0.20/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.43  
% 0.20/0.43  % ------ AIG Options
% 0.20/0.43  
% 0.20/0.43  % --aig_mode                            false
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation Options
% 0.20/0.43  
% 0.20/0.43  % --instantiation_flag                  true
% 0.20/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.43  % --inst_solver_per_active              750
% 0.20/0.43  % --inst_solver_calls_frac              0.5
% 0.20/0.43  % --inst_passive_queue_type             priority_queues
% 0.20/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.43  % --inst_passive_queues_freq            [25;2]
% 0.20/0.43  % --inst_dismatching                    true
% 0.20/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.43  % --inst_prop_sim_given                 true
% 0.20/0.44  % --inst_prop_sim_new                   false
% 0.20/0.44  % --inst_orphan_elimination             true
% 0.20/0.44  % --inst_learning_loop_flag             true
% 0.20/0.44  % --inst_learning_start                 3000
% 0.20/0.44  % --inst_learning_factor                2
% 0.20/0.44  % --inst_start_prop_sim_after_learn     3
% 0.20/0.44  % --inst_sel_renew                      solver
% 0.20/0.44  % --inst_lit_activity_flag              true
% 0.20/0.44  % --inst_out_proof                      true
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution Options
% 0.20/0.44  
% 0.20/0.44  % --resolution_flag                     true
% 0.20/0.44  % --res_lit_sel                         kbo_max
% 0.20/0.44  % --res_to_prop_solver                  none
% 0.20/0.44  % --res_prop_simpl_new                  false
% 0.20/0.44  % --res_prop_simpl_given                false
% 0.20/0.44  % --res_passive_queue_type              priority_queues
% 0.20/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.44  % --res_passive_queues_freq             [15;5]
% 0.20/0.44  % --res_forward_subs                    full
% 0.20/0.44  % --res_backward_subs                   full
% 0.20/0.44  % --res_forward_subs_resolution         true
% 0.20/0.44  % --res_backward_subs_resolution        true
% 0.20/0.44  % --res_orphan_elimination              false
% 0.20/0.44  % --res_time_limit                      1000.
% 0.20/0.44  % --res_out_proof                       true
% 0.20/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_37a665.s
% 0.20/0.44  % --modulo                              true
% 0.20/0.44  
% 0.20/0.44  % ------ Combination Options
% 0.20/0.44  
% 0.20/0.44  % --comb_res_mult                       1000
% 0.20/0.44  % --comb_inst_mult                      300
% 0.20/0.44  % ------ 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------ Proving...
% 0.20/0.44  % warning:  shown sat in sat incomplete mode 
% 0.20/0.44  % 
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  cnf(c_30,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_9) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_58,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_30]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_77,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_84,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_89,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_84]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_189,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_89]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_16,plain,
% 0.20/0.44      ( ~ subset(X0,X1) | ~ subset(X1,X0) | equal_set(X0,X1) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_104_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_157,plain,
% 0.20/0.44      ( ~ subset(X0,X1) | ~ subset(X1,X0) | equal_set(X0,X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_16]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_158,plain,
% 0.20/0.44      ( equal_set(X0,X1) | ~ subset(X0,X1) | ~ subset(X1,X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_157]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_213,plain,
% 0.20/0.44      ( ~ subset(sk3_esk2_0,sk3_esk3_0) | ~ subset(sk3_esk3_0,sk3_esk2_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_189,c_158]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_214,plain,
% 0.20/0.44      ( ~ subset(sk3_esk2_0,sk3_esk3_0) | ~ subset(sk3_esk3_0,sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_213]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_32,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_11) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_62,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_32]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_79,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_82,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_79]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_86,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_82]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_183,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk2_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_86]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_238,plain,
% 0.20/0.44      ( ~ subset(sk3_esk3_0,sk3_esk2_0) ),
% 0.20/0.44      inference(forward_subsumption_resolution,[status(thm)],[c_214,c_183]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_239,plain,
% 0.20/0.44      ( ~ subset(sk3_esk3_0,sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_238]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_24,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_96_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_173,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_241,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk2_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_239,c_173]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_244,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_241]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_31,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_10) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_60,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_78,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_83,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_78]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_90,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_191,negated_conjecture,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_90]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_7,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_113_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_139,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_205,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_191,c_139]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_206,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_205]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_257,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_244,c_206]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_258,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_257]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_9,plain,
% 0.20/0.44      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_111_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_143,plain,
% 0.20/0.44      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_242,plain,
% 0.20/0.44      ( member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk3_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_239,c_143]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_243,plain,
% 0.20/0.44      ( member(sk1_esk1_2(sk3_esk2_0,sk3_esk3_0),sk3_esk3_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_242]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_29,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_8) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_56,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_76,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_85,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_76]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_88,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_85]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_187,negated_conjecture,
% 0.20/0.44      ( ~ equal_set(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_88]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_209,plain,
% 0.20/0.44      ( ~ subset(sk3_esk1_0,sk3_esk2_0) | ~ subset(sk3_esk2_0,sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_187,c_158]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_210,plain,
% 0.20/0.44      ( ~ subset(sk3_esk1_0,sk3_esk2_0) | ~ subset(sk3_esk2_0,sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_209]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_229,plain,
% 0.20/0.44      ( ~ subset(sk3_esk2_0,sk3_esk1_0) ),
% 0.20/0.44      inference(forward_subsumption_resolution,[status(thm)],[c_210,c_191]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_230,plain,
% 0.20/0.44      ( ~ subset(sk3_esk2_0,sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_229]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_233,plain,
% 0.20/0.44      ( member(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_230,c_143]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_234,plain,
% 0.20/0.44      ( member(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk2_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_233]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_232,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_230,c_173]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_235,plain,
% 0.20/0.44      ( ~ member(sk1_esk1_2(sk3_esk1_0,sk3_esk2_0),sk3_esk1_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_232]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_33,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_12) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_64,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_33]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_80,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_81,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_80]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_87,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_185,negated_conjecture,
% 0.20/0.44      ( equal_set(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_87]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_4,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ equal_set(X0,X1) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_116_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_133,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ equal_set(X0,X1) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_134,plain,
% 0.20/0.44      ( ~ equal_set(X0,X1) | subset(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_133]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_201,plain,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_185,c_134]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_202,plain,
% 0.20/0.44      ( subset(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_201]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_217,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_202,c_139]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_218,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_217]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_195,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk2_0) | member(X0,sk3_esk3_0) ),
% 0.20/0.44      inference(resolution,[status(thm)],[c_183,c_139]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_196,plain,
% 0.20/0.44      ( ~ member(X0,sk3_esk2_0) | member(X0,sk3_esk3_0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_195]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_28,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_92_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_181,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_28]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_182,plain,
% 0.20/0.44      ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_181]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_27,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_93_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_179,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,X2) | member(X0,difference(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_180,plain,
% 0.20/0.44      ( member(X0,difference(X1,X2)) | ~ member(X0,X1) | member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_179]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_26,plain,
% 0.20/0.44      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_94_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_177,plain,
% 0.20/0.44      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_178,plain,
% 0.20/0.44      ( ~ member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_177]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_25,plain,
% 0.20/0.44      ( ~ member(X0,sk1_esk3_2(X0,X1)) | member(X0,product(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_95_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_175,plain,
% 0.20/0.44      ( ~ member(X0,sk1_esk3_2(X0,X1)) | member(X0,product(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_25]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_176,plain,
% 0.20/0.44      ( member(X0,product(X1)) | ~ member(X0,sk1_esk3_2(X0,X1)) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_175]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_23,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_97_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_171,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X0,difference(X2,X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_172,plain,
% 0.20/0.44      ( ~ member(X0,difference(X1,X2)) | ~ member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_171]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_22,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_98_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_169,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_170,plain,
% 0.20/0.44      ( member(X0,union(X1,X2)) | ~ member(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_169]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_21,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_99_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_167,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_168,plain,
% 0.20/0.44      ( member(X0,union(X1,X2)) | ~ member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_167]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_20,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_100_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_165,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,difference(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_166,plain,
% 0.20/0.44      ( ~ member(X0,difference(X1,X2)) | member(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_165]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_19,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_101_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_163,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_19]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_164,plain,
% 0.20/0.44      ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_163]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_18,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_102_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_161,plain,
% 0.20/0.44      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_162,plain,
% 0.20/0.44      ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_161]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_17,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sum(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_103_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_159,plain,
% 0.20/0.44      ( ~ member(X0,X1) | ~ member(X2,X0) | member(X2,sum(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_160,plain,
% 0.20/0.44      ( member(X0,sum(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_159]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_15,plain,
% 0.20/0.44      ( X0 = X1 | X0 = X2 | ~ member(X0,unordered_pair(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_105_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_155,plain,
% 0.20/0.44      ( X0 = X1 | X0 = X2 | ~ member(X0,unordered_pair(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_15]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_156,plain,
% 0.20/0.44      ( ~ member(X0,unordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_155]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_14,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,unordered_pair(X1,X2)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_106_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_153,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,unordered_pair(X1,X2)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_154,plain,
% 0.20/0.44      ( member(X0,unordered_pair(X1,X2)) | X0 != X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_153]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_13,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,unordered_pair(X2,X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_107_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_151,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,unordered_pair(X2,X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_152,plain,
% 0.20/0.44      ( member(X0,unordered_pair(X1,X2)) | X0 != X2 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_151]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_10,plain,
% 0.20/0.44      ( member(X0,sk1_esk2_2(X0,X1)) | ~ member(X0,sum(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_110_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_145,plain,
% 0.20/0.44      ( member(X0,sk1_esk2_2(X0,X1)) | ~ member(X0,sum(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_146,plain,
% 0.20/0.44      ( ~ member(X0,sum(X1)) | member(X0,sk1_esk2_2(X0,X1)) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_145]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_8,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X2,X0) | ~ member(X2,product(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_112_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_141,plain,
% 0.20/0.44      ( ~ member(X0,X1) | member(X2,X0) | ~ member(X2,product(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_142,plain,
% 0.20/0.44      ( ~ member(X0,product(X1)) | ~ member(X2,X1) | member(X0,X2) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_141]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_6,plain,
% 0.20/0.44      ( ~ subset(X0,X1) | member(X0,power_set(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_114_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_137,plain,
% 0.20/0.44      ( ~ subset(X0,X1) | member(X0,power_set(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_138,plain,
% 0.20/0.44      ( member(X0,power_set(X1)) | ~ subset(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_137]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_5,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ member(X0,power_set(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_115_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_135,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ member(X0,power_set(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_136,plain,
% 0.20/0.44      ( ~ member(X0,power_set(X1)) | subset(X0,X1) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_135]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_3,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ equal_set(X1,X0) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_117_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_131,plain,
% 0.20/0.44      ( subset(X0,X1) | ~ equal_set(X1,X0) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_132,plain,
% 0.20/0.44      ( ~ equal_set(X0,X1) | subset(X1,X0) ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_131]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_2,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,singleton(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_118_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_129,plain,
% 0.20/0.44      ( X0 != X1 | member(X0,singleton(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_130,plain,
% 0.20/0.44      ( member(X0,singleton(X1)) | X0 != X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_129]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_1,plain,
% 0.20/0.44      ( X0 = X1 | ~ member(X0,singleton(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_119_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_127,plain,
% 0.20/0.44      ( X0 = X1 | ~ member(X0,singleton(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_1]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_128,plain,
% 0.20/0.44      ( ~ member(X0,singleton(X1)) | X0 = X1 ),
% 0.20/0.44      inference(rewriting,[status(thm)],[c_127]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_12,plain,
% 0.20/0.44      ( member(sk1_esk3_2(X0,X1),X1) | member(X0,product(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_108_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_149,plain,
% 0.20/0.44      ( member(sk1_esk3_2(X0,X1),X1) | member(X0,product(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_11,plain,
% 0.20/0.44      ( member(sk1_esk2_2(X0,X1),X1) | ~ member(X0,sum(X1)) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_109_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_147,plain,
% 0.20/0.44      ( member(sk1_esk2_2(X0,X1),X1) | ~ member(X0,sum(X1)) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_0,plain,
% 0.20/0.44      ( ~ member(X0,empty_set) ),
% 0.20/0.44      file('/export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p', c_0_120_0) ).
% 0.20/0.44  
% 0.20/0.44  cnf(c_125,plain,
% 0.20/0.44      ( ~ member(X0,empty_set) ),
% 0.20/0.44      inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  % ------                             Statistics
% 0.20/0.44  
% 0.20/0.44  % ------ General
% 0.20/0.44  
% 0.20/0.44  % num_of_input_clauses:                 34
% 0.20/0.44  % num_of_input_neg_conjectures:         5
% 0.20/0.44  % num_of_splits:                        0
% 0.20/0.44  % num_of_split_atoms:                   0
% 0.20/0.44  % num_of_sem_filtered_clauses:          0
% 0.20/0.44  % num_of_subtypes:                      0
% 0.20/0.44  % monotx_restored_types:                0
% 0.20/0.44  % sat_num_of_epr_types:                 0
% 0.20/0.44  % sat_num_of_non_cyclic_types:          0
% 0.20/0.44  % sat_guarded_non_collapsed_types:      0
% 0.20/0.44  % is_epr:                               0
% 0.20/0.44  % is_horn:                              0
% 0.20/0.44  % has_eq:                               1
% 0.20/0.44  % num_pure_diseq_elim:                  0
% 0.20/0.44  % simp_replaced_by:                     0
% 0.20/0.44  % res_preprocessed:                     10
% 0.20/0.44  % prep_upred:                           0
% 0.20/0.44  % prep_unflattend:                      0
% 0.20/0.44  % pred_elim_cands:                      0
% 0.20/0.44  % pred_elim:                            0
% 0.20/0.44  % pred_elim_cl:                         0
% 0.20/0.44  % pred_elim_cycles:                     0
% 0.20/0.44  % forced_gc_time:                       0
% 0.20/0.44  % gc_basic_clause_elim:                 0
% 0.20/0.44  % parsing_time:                         0.001
% 0.20/0.44  % sem_filter_time:                      0.
% 0.20/0.44  % pred_elim_time:                       0.
% 0.20/0.44  % out_proof_time:                       0.
% 0.20/0.44  % monotx_time:                          0.
% 0.20/0.44  % subtype_inf_time:                     0.
% 0.20/0.44  % unif_index_cands_time:                0.
% 0.20/0.44  % unif_index_add_time:                  0.
% 0.20/0.44  % total_time:                           0.03
% 0.20/0.44  % num_of_symbols:                       43
% 0.20/0.44  % num_of_terms:                         179
% 0.20/0.44  
% 0.20/0.44  % ------ Propositional Solver
% 0.20/0.44  
% 0.20/0.44  % prop_solver_calls:                    1
% 0.20/0.44  % prop_fast_solver_calls:               15
% 0.20/0.44  % prop_num_of_clauses:                  56
% 0.20/0.44  % prop_preprocess_simplified:           110
% 0.20/0.44  % prop_fo_subsumed:                     0
% 0.20/0.44  % prop_solver_time:                     0.
% 0.20/0.44  % prop_fast_solver_time:                0.
% 0.20/0.44  % prop_unsat_core_time:                 0.
% 0.20/0.44  
% 0.20/0.44  % ------ QBF 
% 0.20/0.44  
% 0.20/0.44  % qbf_q_res:                            0
% 0.20/0.44  % qbf_num_tautologies:                  0
% 0.20/0.44  % qbf_prep_cycles:                      0
% 0.20/0.44  
% 0.20/0.44  % ------ BMC1
% 0.20/0.44  
% 0.20/0.44  % bmc1_current_bound:                   -1
% 0.20/0.44  % bmc1_last_solved_bound:               -1
% 0.20/0.44  % bmc1_unsat_core_size:                 -1
% 0.20/0.44  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.44  % bmc1_merge_next_fun:                  0
% 0.20/0.44  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.44  
% 0.20/0.44  % ------ Instantiation
% 0.20/0.44  
% 0.20/0.44  % inst_num_of_clauses:                  34
% 0.20/0.44  % inst_num_in_passive:                  0
% 0.20/0.44  % inst_num_in_active:                   0
% 0.20/0.44  % inst_num_in_unprocessed:              34
% 0.20/0.44  % inst_num_of_loops:                    0
% 0.20/0.44  % inst_num_of_learning_restarts:        0
% 0.20/0.44  % inst_num_moves_active_passive:        0
% 0.20/0.44  % inst_lit_activity:                    0
% 0.20/0.44  % inst_lit_activity_moves:              0
% 0.20/0.44  % inst_num_tautologies:                 0
% 0.20/0.44  % inst_num_prop_implied:                0
% 0.20/0.44  % inst_num_existing_simplified:         0
% 0.20/0.44  % inst_num_eq_res_simplified:           0
% 0.20/0.44  % inst_num_child_elim:                  0
% 0.20/0.44  % inst_num_of_dismatching_blockings:    0
% 0.20/0.44  % inst_num_of_non_proper_insts:         0
% 0.20/0.44  % inst_num_of_duplicates:               0
% 0.20/0.44  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.44  % inst_dismatching_checking_time:       0.
% 0.20/0.44  
% 0.20/0.44  % ------ Resolution
% 0.20/0.44  
% 0.20/0.44  % res_num_of_clauses:                   68
% 0.20/0.44  % res_num_in_passive:                   0
% 0.20/0.44  % res_num_in_active:                    45
% 0.20/0.44  % res_num_of_loops:                     18
% 0.20/0.44  % res_forward_subset_subsumed:          0
% 0.20/0.44  % res_backward_subset_subsumed:         0
% 0.20/0.44  % res_forward_subsumed:                 1
% 0.20/0.44  % res_backward_subsumed:                0
% 0.20/0.44  % res_forward_subsumption_resolution:   2
% 0.20/0.44  % res_backward_subsumption_resolution:  0
% 0.20/0.44  % res_clause_to_clause_subsumption:     7
% 0.20/0.44  % res_orphan_elimination:               0
% 0.20/0.44  % res_tautology_del:                    0
% 0.20/0.44  % res_num_eq_res_simplified:            0
% 0.20/0.44  % res_num_sel_changes:                  0
% 0.20/0.44  % res_moves_from_active_to_pass:        0
% 0.20/0.44  
% 0.20/0.44  % Status Unknown
% 0.20/0.49  % Orienting using strategy ClausalAll
% 0.20/0.49  % FOF problem with conjecture
% 0.20/0.49  % 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_37a665.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3fbb95.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_6a89b6 | grep -v "SZS"
% 0.20/0.51  
% 0.20/0.51  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------  iProver source info 
% 0.20/0.51  
% 0.20/0.51  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51  % git: non_committed_changes: true
% 0.20/0.51  % git: last_make_outside_of_git: true
% 0.20/0.51  
% 0.20/0.51  % 
% 0.20/0.51  % ------ Input Options
% 0.20/0.51  
% 0.20/0.51  % --out_options                         all
% 0.20/0.51  % --tptp_safe_out                       true
% 0.20/0.51  % --problem_path                        ""
% 0.20/0.51  % --include_path                        ""
% 0.20/0.51  % --clausifier                          .//eprover
% 0.20/0.51  % --clausifier_options                  --tstp-format  
% 0.20/0.51  % --stdin                               false
% 0.20/0.51  % --dbg_backtrace                       false
% 0.20/0.51  % --dbg_dump_prop_clauses               false
% 0.20/0.51  % --dbg_dump_prop_clauses_file          -
% 0.20/0.51  % --dbg_out_stat                        false
% 0.20/0.51  
% 0.20/0.51  % ------ General Options
% 0.20/0.51  
% 0.20/0.51  % --fof                                 false
% 0.20/0.51  % --time_out_real                       150.
% 0.20/0.51  % --time_out_prep_mult                  0.2
% 0.20/0.51  % --time_out_virtual                    -1.
% 0.20/0.51  % --schedule                            none
% 0.20/0.51  % --ground_splitting                    input
% 0.20/0.51  % --splitting_nvd                       16
% 0.20/0.51  % --non_eq_to_eq                        false
% 0.20/0.51  % --prep_gs_sim                         true
% 0.20/0.51  % --prep_unflatten                      false
% 0.20/0.51  % --prep_res_sim                        true
% 0.20/0.51  % --prep_upred                          true
% 0.20/0.51  % --res_sim_input                       true
% 0.20/0.51  % --clause_weak_htbl                    true
% 0.20/0.51  % --gc_record_bc_elim                   false
% 0.20/0.51  % --symbol_type_check                   false
% 0.20/0.51  % --clausify_out                        false
% 0.20/0.51  % --large_theory_mode                   false
% 0.20/0.51  % --prep_sem_filter                     none
% 0.20/0.51  % --prep_sem_filter_out                 false
% 0.20/0.51  % --preprocessed_out                    false
% 0.20/0.51  % --sub_typing                          false
% 0.20/0.51  % --brand_transform                     false
% 0.20/0.51  % --pure_diseq_elim                     true
% 0.20/0.51  % --min_unsat_core                      false
% 0.20/0.51  % --pred_elim                           true
% 0.20/0.51  % --add_important_lit                   false
% 0.20/0.51  % --soft_assumptions                    false
% 0.20/0.51  % --reset_solvers                       false
% 0.20/0.51  % --bc_imp_inh                          []
% 0.20/0.51  % --conj_cone_tolerance                 1.5
% 0.20/0.51  % --prolific_symb_bound                 500
% 0.20/0.51  % --lt_threshold                        2000
% 0.20/0.51  
% 0.20/0.51  % ------ SAT Options
% 0.20/0.51  
% 0.20/0.51  % --sat_mode                            false
% 0.20/0.51  % --sat_fm_restart_options              ""
% 0.20/0.51  % --sat_gr_def                          false
% 0.20/0.51  % --sat_epr_types                       true
% 0.20/0.51  % --sat_non_cyclic_types                false
% 0.20/0.51  % --sat_finite_models                   false
% 0.20/0.51  % --sat_fm_lemmas                       false
% 0.20/0.51  % --sat_fm_prep                         false
% 0.20/0.51  % --sat_fm_uc_incr                      true
% 0.20/0.51  % --sat_out_model                       small
% 0.20/0.51  % --sat_out_clauses                     false
% 0.20/0.51  
% 0.20/0.51  % ------ QBF Options
% 0.20/0.51  
% 0.20/0.51  % --qbf_mode                            false
% 0.20/0.51  % --qbf_elim_univ                       true
% 0.20/0.51  % --qbf_sk_in                           true
% 0.20/0.51  % --qbf_pred_elim                       true
% 0.20/0.51  % --qbf_split                           32
% 0.20/0.51  
% 0.20/0.51  % ------ BMC1 Options
% 0.20/0.51  
% 0.20/0.51  % --bmc1_incremental                    false
% 0.20/0.51  % --bmc1_axioms                         reachable_all
% 0.20/0.51  % --bmc1_min_bound                      0
% 0.20/0.51  % --bmc1_max_bound                      -1
% 0.20/0.51  % --bmc1_max_bound_default              -1
% 0.20/0.51  % --bmc1_symbol_reachability            true
% 0.20/0.51  % --bmc1_property_lemmas                false
% 0.20/0.51  % --bmc1_k_induction                    false
% 0.20/0.51  % --bmc1_non_equiv_states               false
% 0.20/0.51  % --bmc1_deadlock                       false
% 0.20/0.51  % --bmc1_ucm                            false
% 0.20/0.51  % --bmc1_add_unsat_core                 none
% 0.20/0.51  % --bmc1_unsat_core_children            false
% 0.20/0.51  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.51  % --bmc1_out_stat                       full
% 0.20/0.51  % --bmc1_ground_init                    false
% 0.20/0.51  % --bmc1_pre_inst_next_state            false
% 0.20/0.51  % --bmc1_pre_inst_state                 false
% 0.20/0.51  % --bmc1_pre_inst_reach_state           false
% 0.20/0.51  % --bmc1_out_unsat_core                 false
% 0.20/0.51  % --bmc1_aig_witness_out                false
% 0.20/0.51  % --bmc1_verbose                        false
% 0.20/0.51  % --bmc1_dump_clauses_tptp              false
% 0.20/0.52  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.52  % --bmc1_dump_file                      -
% 0.20/0.52  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.52  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.52  % --bmc1_ucm_extend_mode                1
% 0.20/0.52  % --bmc1_ucm_init_mode                  2
% 0.20/0.52  % --bmc1_ucm_cone_mode                  none
% 0.20/0.52  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.52  % --bmc1_ucm_relax_model                4
% 0.20/0.52  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.52  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.52  % --bmc1_ucm_layered_model              none
% 0.20/0.52  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.52  
% 0.20/0.52  % ------ AIG Options
% 0.20/0.52  
% 0.20/0.52  % --aig_mode                            false
% 0.20/0.52  
% 0.20/0.52  % ------ Instantiation Options
% 0.20/0.52  
% 0.20/0.52  % --instantiation_flag                  true
% 0.20/0.52  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.52  % --inst_solver_per_active              750
% 0.20/0.52  % --inst_solver_calls_frac              0.5
% 0.20/0.52  % --inst_passive_queue_type             priority_queues
% 0.20/0.52  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.52  % --inst_passive_queues_freq            [25;2]
% 0.20/0.52  % --inst_dismatching                    true
% 0.20/0.52  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.52  % --inst_prop_sim_given                 true
% 0.20/0.52  % --inst_prop_sim_new                   false
% 0.20/0.52  % --inst_orphan_elimination             true
% 0.20/0.52  % --inst_learning_loop_flag             true
% 0.20/0.52  % --inst_learning_start                 3000
% 0.20/0.52  % --inst_learning_factor                2
% 0.20/0.52  % --inst_start_prop_sim_after_learn     3
% 0.20/0.52  % --inst_sel_renew                      solver
% 0.20/0.52  % --inst_lit_activity_flag              true
% 0.20/0.52  % --inst_out_proof                      true
% 0.20/0.52  
% 0.20/0.52  % ------ Resolution Options
% 0.20/0.52  
% 0.20/0.52  % --resolution_flag                     true
% 0.20/0.52  % --res_lit_sel                         kbo_max
% 0.20/0.52  % --res_to_prop_solver                  none
% 0.20/0.52  % --res_prop_simpl_new                  false
% 0.20/0.52  % --res_prop_simpl_given                false
% 0.20/0.52  % --res_passive_queue_type              priority_queues
% 0.20/0.52  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.52  % --res_passive_queues_freq             [15;5]
% 0.20/0.52  % --res_forward_subs                    full
% 0.20/0.52  % --res_backward_subs                   full
% 0.20/0.52  % --res_forward_subs_resolution         true
% 0.20/0.52  % --res_backward_subs_resolution        true
% 0.20/0.52  % --res_orphan_elimination              false
% 0.20/0.52  % --res_time_limit                      1000.
% 0.20/0.52  % --res_out_proof                       true
% 0.20/0.52  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_37a665.s
% 0.20/0.52  % --modulo                              true
% 0.20/0.52  
% 0.20/0.52  % ------ Combination Options
% 0.20/0.52  
% 0.20/0.52  % --comb_res_mult                       1000
% 0.20/0.52  % --comb_inst_mult                      300
% 0.20/0.52  % ------ 
% 0.20/0.52  
% 0.20/0.52  % ------ Parsing...% successful
% 0.20/0.52  
% 0.20/0.52  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.52  
% 0.20/0.52  % ------ Proving...
% 0.20/0.52  % ------ Problem Properties 
% 0.20/0.52  
% 0.20/0.52  % 
% 0.20/0.52  % EPR                                   false
% 0.20/0.52  % Horn                                  false
% 0.20/0.52  % Has equality                          true
% 0.20/0.52  
% 0.20/0.52  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.52  
% 0.20/0.52  
% 0.20/0.52  % % ------ Current options:
% 0.20/0.52  
% 0.20/0.52  % ------ Input Options
% 0.20/0.52  
% 0.20/0.52  % --out_options                         all
% 0.20/0.52  % --tptp_safe_out                       true
% 0.20/0.52  % --problem_path                        ""
% 0.20/0.52  % --include_path                        ""
% 0.20/0.52  % --clausifier                          .//eprover
% 0.20/0.52  % --clausifier_options                  --tstp-format  
% 0.20/0.52  % --stdin                               false
% 0.20/0.52  % --dbg_backtrace                       false
% 0.20/0.52  % --dbg_dump_prop_clauses               false
% 0.20/0.52  % --dbg_dump_prop_clauses_file          -
% 0.20/0.52  % --dbg_out_stat                        false
% 0.20/0.52  
% 0.20/0.52  % ------ General Options
% 0.20/0.52  
% 0.20/0.52  % --fof                                 false
% 0.20/0.52  % --time_out_real                       150.
% 0.20/0.52  % --time_out_prep_mult                  0.2
% 0.20/0.52  % --time_out_virtual                    -1.
% 0.20/0.52  % --schedule                            none
% 0.20/0.52  % --ground_splitting                    input
% 0.20/0.52  % --splitting_nvd                       16
% 0.20/0.52  % --non_eq_to_eq                        false
% 0.20/0.52  % --prep_gs_sim                         true
% 0.20/0.52  % --prep_unflatten                      false
% 0.20/0.52  % --prep_res_sim                        true
% 0.20/0.52  % --prep_upred                          true
% 0.20/0.52  % --res_sim_input                       true
% 0.20/0.52  % --clause_weak_htbl                    true
% 0.20/0.52  % --gc_record_bc_elim                   false
% 0.20/0.52  % --symbol_type_check                   false
% 0.20/0.52  % --clausify_out                        false
% 0.20/0.52  % --large_theory_mode                   false
% 0.20/0.52  % --prep_sem_filter                     none
% 0.20/0.52  % --prep_sem_filter_out                 false
% 0.20/0.52  % --preprocessed_out                    false
% 0.20/0.52  % --sub_typing                          false
% 0.20/0.52  % --brand_transform                     false
% 0.20/0.52  % --pure_diseq_elim                     true
% 0.20/0.52  % --min_unsat_core                      false
% 0.20/0.52  % --pred_elim                           true
% 0.20/0.52  % --add_important_lit                   false
% 0.20/0.52  % --soft_assumptions                    false
% 0.20/0.52  % --reset_solvers                       false
% 0.20/0.52  % --bc_imp_inh                          []
% 0.20/0.52  % --conj_cone_tolerance                 1.5
% 0.20/0.52  % --prolific_symb_bound                 500
% 0.20/0.52  % --lt_threshold                        2000
% 0.20/0.52  
% 0.20/0.52  % ------ SAT Options
% 0.20/0.52  
% 0.20/0.52  % --sat_mode                            false
% 0.20/0.52  % --sat_fm_restart_options              ""
% 0.20/0.52  % --sat_gr_def                          false
% 0.20/0.52  % --sat_epr_types                       true
% 0.20/0.52  % --sat_non_cyclic_types                false
% 0.20/0.52  % --sat_finite_models                   false
% 0.20/0.52  % --sat_fm_lemmas                       false
% 0.20/0.52  % --sat_fm_prep                         false
% 0.20/0.52  % --sat_fm_uc_incr                      true
% 0.20/0.52  % --sat_out_model                       small
% 0.20/0.52  % --sat_out_clauses                     false
% 0.20/0.52  
% 0.20/0.52  % ------ QBF Options
% 0.20/0.52  
% 0.20/0.52  % --qbf_mode                            false
% 0.20/0.52  % --qbf_elim_univ                       true
% 0.20/0.52  % --qbf_sk_in                           true
% 0.20/0.52  % --qbf_pred_elim                       true
% 0.20/0.52  % --qbf_split                           32
% 0.20/0.52  
% 0.20/0.52  % ------ BMC1 Options
% 0.20/0.52  
% 0.20/0.52  % --bmc1_incremental                    false
% 0.20/0.52  % --bmc1_axioms                         reachable_all
% 0.20/0.52  % --bmc1_min_bound                      0
% 0.20/0.52  % --bmc1_max_bound                      -1
% 0.20/0.52  % --bmc1_max_bound_default              -1
% 0.20/0.52  % --bmc1_symbol_reachability            true
% 0.20/0.52  % --bmc1_property_lemmas                false
% 0.20/0.52  % --bmc1_k_induction                    false
% 0.20/0.52  % --bmc1_non_equiv_states               false
% 0.20/0.52  % --bmc1_deadlock                       false
% 0.20/0.52  % --bmc1_ucm                            false
% 0.20/0.52  % --bmc1_add_unsat_core                 none
% 0.20/0.52  % --bmc1_unsat_core_children            false
% 0.20/0.52  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.52  % --bmc1_out_stat                       full
% 0.20/0.52  % --bmc1_ground_init                    false
% 0.20/0.52  % --bmc1_pre_inst_next_state            false
% 0.20/0.52  % --bmc1_pre_inst_state                 false
% 0.20/0.52  % --bmc1_pre_inst_reach_state           false
% 0.20/0.52  % --bmc1_out_unsat_core                 false
% 0.20/0.52  % --bmc1_aig_witness_out                false
% 0.20/0.52  % --bmc1_verbose                        false
% 0.20/0.52  % --bmc1_dump_clauses_tptp              false
% 0.20/0.52  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.52  % --bmc1_dump_file                      -
% 0.20/0.52  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.52  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.52  % --bmc1_ucm_extend_mode                1
% 0.20/0.52  % --bmc1_ucm_init_mode                  2
% 0.20/0.52  % --bmc1_ucm_cone_mode                  none
% 0.20/0.52  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.52  % --bmc1_ucm_relax_model                4
% 0.20/0.52  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.52  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.52  % --bmc1_ucm_layered_model              none
% 0.20/0.52  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.52  
% 0.20/0.52  % ------ AIG Options
% 0.20/0.52  
% 0.20/0.52  % --aig_mode                            false
% 0.20/0.52  
% 0.20/0.52  % ------ Instantiation Options
% 0.20/0.52  
% 0.20/0.52  % --instantiation_flag                  true
% 0.20/0.52  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.52  % --inst_solver_per_active              750
% 0.20/0.52  % --inst_solver_calls_frac              0.5
% 0.20/0.52  % --inst_passive_queue_type             priority_queues
% 0.20/0.52  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.52  % --inst_passive_queues_freq            [25;2]
% 0.20/0.52  % --inst_dismatching                    true
% 0.20/0.52  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.52  % --inst_prop_sim_given                 true
% 4.71/4.91  % --inst_prop_sim_new                   false
% 4.71/4.91  % --inst_orphan_elimination             true
% 4.71/4.91  % --inst_learning_loop_flag             true
% 4.71/4.91  % --inst_learning_start                 3000
% 4.71/4.91  % --inst_learning_factor                2
% 4.71/4.91  % --inst_start_prop_sim_after_learn     3
% 4.71/4.91  % --inst_sel_renew                      solver
% 4.71/4.91  % --inst_lit_activity_flag              true
% 4.71/4.91  % --inst_out_proof                      true
% 4.71/4.91  
% 4.71/4.91  % ------ Resolution Options
% 4.71/4.91  
% 4.71/4.91  % --resolution_flag                     true
% 4.71/4.91  % --res_lit_sel                         kbo_max
% 4.71/4.91  % --res_to_prop_solver                  none
% 4.71/4.91  % --res_prop_simpl_new                  false
% 4.71/4.91  % --res_prop_simpl_given                false
% 4.71/4.91  % --res_passive_queue_type              priority_queues
% 4.71/4.91  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.71/4.91  % --res_passive_queues_freq             [15;5]
% 4.71/4.91  % --res_forward_subs                    full
% 4.71/4.91  % --res_backward_subs                   full
% 4.71/4.91  % --res_forward_subs_resolution         true
% 4.71/4.91  % --res_backward_subs_resolution        true
% 4.71/4.92  % --res_orphan_elimination              false
% 4.71/4.92  % --res_time_limit                      1000.
% 4.71/4.92  % --res_out_proof                       true
% 4.71/4.92  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_37a665.s
% 4.71/4.92  % --modulo                              true
% 4.71/4.92  
% 4.71/4.92  % ------ Combination Options
% 4.71/4.92  
% 4.71/4.92  % --comb_res_mult                       1000
% 4.71/4.92  % --comb_inst_mult                      300
% 4.71/4.92  % ------ 
% 4.71/4.92  
% 4.71/4.92  
% 4.71/4.92  
% 4.71/4.92  % ------ Proving...
% 4.71/4.92  % 
% 4.71/4.92  
% 4.71/4.92  
% 4.71/4.92  % ------                             Statistics
% 4.71/4.92  
% 4.71/4.92  % ------ General
% 4.71/4.92  
% 4.71/4.92  % num_of_input_clauses:                 70
% 4.71/4.92  % num_of_input_neg_conjectures:         5
% 4.71/4.92  % num_of_splits:                        0
% 4.71/4.92  % num_of_split_atoms:                   0
% 4.71/4.92  % num_of_sem_filtered_clauses:          0
% 4.71/4.92  % num_of_subtypes:                      0
% 4.71/4.92  % monotx_restored_types:                0
% 4.71/4.92  % sat_num_of_epr_types:                 0
% 4.71/4.92  % sat_num_of_non_cyclic_types:          0
% 4.71/4.92  % sat_guarded_non_collapsed_types:      0
% 4.71/4.92  % is_epr:                               0
% 4.71/4.92  % is_horn:                              0
% 4.71/4.92  % has_eq:                               1
% 4.71/4.92  % num_pure_diseq_elim:                  0
% 4.71/4.92  % simp_replaced_by:                     0
% 4.71/4.92  % res_preprocessed:                     10
% 4.71/4.92  % prep_upred:                           0
% 4.71/4.92  % prep_unflattend:                      0
% 4.71/4.92  % pred_elim_cands:                      0
% 4.71/4.92  % pred_elim:                            0
% 4.71/4.92  % pred_elim_cl:                         0
% 4.71/4.92  % pred_elim_cycles:                     0
% 4.71/4.92  % forced_gc_time:                       0
% 4.71/4.92  % gc_basic_clause_elim:                 0
% 4.71/4.92  % parsing_time:                         0.002
% 4.71/4.92  % sem_filter_time:                      0.
% 4.71/4.92  % pred_elim_time:                       0.
% 4.71/4.92  % out_proof_time:                       0.
% 4.71/4.92  % monotx_time:                          0.
% 4.71/4.92  % subtype_inf_time:                     0.
% 4.71/4.92  % unif_index_cands_time:                0.031
% 4.71/4.92  % unif_index_add_time:                  0.004
% 4.71/4.92  % total_time:                           4.422
% 4.71/4.92  % num_of_symbols:                       43
% 4.71/4.92  % num_of_terms:                         123950
% 4.71/4.92  
% 4.71/4.92  % ------ Propositional Solver
% 4.71/4.92  
% 4.71/4.92  % prop_solver_calls:                    7
% 4.71/4.92  % prop_fast_solver_calls:               15
% 4.71/4.92  % prop_num_of_clauses:                  915
% 4.71/4.92  % prop_preprocess_simplified:           1419
% 4.71/4.92  % prop_fo_subsumed:                     0
% 4.71/4.92  % prop_solver_time:                     0.
% 4.71/4.92  % prop_fast_solver_time:                0.
% 4.71/4.92  % prop_unsat_core_time:                 0.
% 4.71/4.92  
% 4.71/4.92  % ------ QBF 
% 4.71/4.92  
% 4.71/4.92  % qbf_q_res:                            0
% 4.71/4.92  % qbf_num_tautologies:                  0
% 4.71/4.92  % qbf_prep_cycles:                      0
% 4.71/4.92  
% 4.71/4.92  % ------ BMC1
% 4.71/4.92  
% 4.71/4.92  % bmc1_current_bound:                   -1
% 4.71/4.92  % bmc1_last_solved_bound:               -1
% 4.71/4.92  % bmc1_unsat_core_size:                 -1
% 4.71/4.92  % bmc1_unsat_core_parents_size:         -1
% 4.71/4.92  % bmc1_merge_next_fun:                  0
% 4.71/4.92  % bmc1_unsat_core_clauses_time:         0.
% 4.71/4.92  
% 4.71/4.92  % ------ Instantiation
% 4.71/4.92  
% 4.71/4.92  % inst_num_of_clauses:                  586
% 4.71/4.92  % inst_num_in_passive:                  326
% 4.71/4.92  % inst_num_in_active:                   246
% 4.71/4.92  % inst_num_in_unprocessed:              10
% 4.71/4.92  % inst_num_of_loops:                    305
% 4.71/4.92  % inst_num_of_learning_restarts:        0
% 4.71/4.92  % inst_num_moves_active_passive:        56
% 4.71/4.92  % inst_lit_activity:                    100
% 4.71/4.92  % inst_lit_activity_moves:              0
% 4.71/4.92  % inst_num_tautologies:                 0
% 4.71/4.92  % inst_num_prop_implied:                0
% 4.71/4.92  % inst_num_existing_simplified:         0
% 4.71/4.92  % inst_num_eq_res_simplified:           0
% 4.71/4.92  % inst_num_child_elim:                  0
% 4.71/4.92  % inst_num_of_dismatching_blockings:    250
% 4.71/4.92  % inst_num_of_non_proper_insts:         563
% 4.71/4.92  % inst_num_of_duplicates:               536
% 4.71/4.92  % inst_inst_num_from_inst_to_res:       0
% 4.71/4.92  % inst_dismatching_checking_time:       0.
% 4.71/4.92  
% 4.71/4.92  % ------ Resolution
% 4.71/4.92  
% 4.71/4.92  % res_num_of_clauses:                   122098
% 4.71/4.92  % res_num_in_passive:                   122525
% 4.71/4.92  % res_num_in_active:                    1610
% 4.71/4.92  % res_num_of_loops:                     2000
% 4.71/4.92  % res_forward_subset_subsumed:          8370
% 4.71/4.92  % res_backward_subset_subsumed:         2080
% 4.71/4.92  % res_forward_subsumed:                 425
% 4.71/4.92  % res_backward_subsumed:                2
% 4.71/4.92  % res_forward_subsumption_resolution:   4
% 4.71/4.92  % res_backward_subsumption_resolution:  0
% 4.71/4.92  % res_clause_to_clause_subsumption:     18848
% 4.71/4.92  % res_orphan_elimination:               0
% 4.71/4.92  % res_tautology_del:                    109
% 4.71/4.92  % res_num_eq_res_simplified:            0
% 4.71/4.92  % res_num_sel_changes:                  0
% 4.71/4.92  % res_moves_from_active_to_pass:        0
% 4.71/4.92  
% 4.71/4.92  % Status Unsatisfiable
% 4.71/4.92  % SZS status Theorem
% 4.71/4.92  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------