TSTP Solution File: SET578+3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 02:14:14 EDT 2022

% Result   : Theorem 1.81s 2.06s
% Output   : CNFRefutation 1.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  133 (  16 unt;   0 def)
%            Number of atoms       :  347 (  62 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  376 ( 162   ~; 180   |;  18   &)
%                                         (  12 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  268 (  12 sgn  62   !;   0   ?)

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

fof(c_0_1,axiom,
    ! [X1,X2,X3] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    file('<stdin>',intersection_defn) ).

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

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    file('<stdin>',equal_defn) ).

fof(c_0_4,axiom,
    ! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
    file('<stdin>',commutativity_of_intersection) ).

fof(c_0_5,axiom,
    ! [X1] : subset(X1,X1),
    file('<stdin>',reflexivity_of_subset) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ! [X3] :
          ( member(X3,X1)
        <=> member(X3,X2) ) ),
    c_0_0 ).

fof(c_0_7,axiom,
    ! [X1,X2,X3] :
      ( member(X3,intersection(X1,X2))
    <=> ( member(X3,X1)
        & member(X3,X2) ) ),
    c_0_1 ).

fof(c_0_8,axiom,
    ! [X1,X2] :
      ( subset(X1,X2)
    <=> ! [X3] :
          ( member(X3,X1)
         => member(X3,X2) ) ),
    c_0_2 ).

fof(c_0_9,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ( subset(X1,X2)
        & subset(X2,X1) ) ),
    c_0_3 ).

fof(c_0_10,axiom,
    ! [X1,X2] : intersection(X1,X2) = intersection(X2,X1),
    c_0_4 ).

fof(c_0_11,axiom,
    ! [X1] : subset(X1,X1),
    c_0_5 ).

fof(c_0_12,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X6,X4)
        | member(X6,X5)
        | X4 != X5 )
      & ( ~ member(X7,X5)
        | member(X7,X4)
        | X4 != X5 )
      & ( ~ member(esk2_2(X8,X9),X8)
        | ~ member(esk2_2(X8,X9),X9)
        | X8 = X9 )
      & ( member(esk2_2(X8,X9),X8)
        | member(esk2_2(X8,X9),X9)
        | X8 = X9 ) ),
    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_6])])])])])]) ).

fof(c_0_13,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( member(X6,X4)
        | ~ member(X6,intersection(X4,X5)) )
      & ( member(X6,X5)
        | ~ member(X6,intersection(X4,X5)) )
      & ( ~ member(X9,X7)
        | ~ member(X9,X8)
        | member(X9,intersection(X7,X8)) ) ),
    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_7])])])])]) ).

fof(c_0_14,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_8])])])])])]) ).

fof(c_0_15,plain,
    ! [X3,X4,X5,X6] :
      ( ( subset(X3,X4)
        | X3 != X4 )
      & ( subset(X4,X3)
        | X3 != X4 )
      & ( ~ subset(X5,X6)
        | ~ subset(X6,X5)
        | 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_9])])])])]) ).

fof(c_0_16,plain,
    ! [X3,X4] : intersection(X3,X4) = intersection(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_10]) ).

fof(c_0_17,plain,
    ! [X2] : subset(X2,X2),
    inference(variable_rename,[status(thm)],[c_0_11]) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_20,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_21,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_23,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_24,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_25,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_26,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_27,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_28,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_29,plain,
    intersection(X1,X2) = intersection(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_30,plain,
    ( subset(X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_31,plain,
    ( subset(X2,X1)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_32,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_33,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    c_0_18,
    [final] ).

cnf(c_0_34,plain,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_35,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    c_0_20,
    [final] ).

cnf(c_0_36,plain,
    ( subset(X1,X2)
    | ~ member(esk1_2(X1,X2),X2) ),
    c_0_21,
    [final] ).

cnf(c_0_37,plain,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_22,
    [final] ).

cnf(c_0_38,plain,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    c_0_23,
    [final] ).

cnf(c_0_39,plain,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    c_0_24,
    [final] ).

cnf(c_0_40,plain,
    ( subset(X1,X2)
    | member(esk1_2(X1,X2),X1) ),
    c_0_25,
    [final] ).

cnf(c_0_41,plain,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    c_0_26,
    [final] ).

cnf(c_0_42,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    c_0_27,
    [final] ).

cnf(c_0_43,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    c_0_28,
    [final] ).

cnf(c_0_44,plain,
    intersection(X1,X2) = intersection(X2,X1),
    c_0_29,
    [final] ).

cnf(c_0_45,plain,
    ( subset(X1,X2)
    | X1 != X2 ),
    c_0_30,
    [final] ).

cnf(c_0_46,plain,
    ( subset(X2,X1)
    | X1 != X2 ),
    c_0_31,
    [final] ).

cnf(c_0_47,plain,
    subset(X1,X1),
    c_0_32,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_33_0,axiom,
    ( X1 = X2
    | ~ member(sk1_esk2_2(X1,X2),X2)
    | ~ member(sk1_esk2_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_1,axiom,
    ( ~ member(sk1_esk2_2(X1,X2),X2)
    | X1 = X2
    | ~ member(sk1_esk2_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_2,axiom,
    ( ~ member(sk1_esk2_2(X1,X2),X1)
    | ~ member(sk1_esk2_2(X1,X2),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_34_0,axiom,
    ( member(X1,intersection(X2,X3))
    | ~ member(X1,X3)
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,intersection(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_2,axiom,
    ( ~ member(X1,X2)
    | ~ member(X1,X3)
    | member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_35_0,axiom,
    ( X1 = X2
    | member(sk1_esk2_2(X1,X2),X2)
    | member(sk1_esk2_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_1,axiom,
    ( member(sk1_esk2_2(X1,X2),X2)
    | X1 = X2
    | member(sk1_esk2_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_2,axiom,
    ( member(sk1_esk2_2(X1,X2),X1)
    | member(sk1_esk2_2(X1,X2),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_36_0,axiom,
    ( subset(X1,X2)
    | ~ member(sk1_esk1_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_1,axiom,
    ( ~ member(sk1_esk1_2(X1,X2),X2)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_37_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_38_0,axiom,
    ( member(X1,X3)
    | ~ member(X1,intersection(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_1,axiom,
    ( ~ member(X1,intersection(X2,X3))
    | member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_39_0,axiom,
    ( member(X1,X2)
    | ~ member(X1,X3)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,X2)
    | ~ subset(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_39_2,axiom,
    ( ~ subset(X3,X2)
    | ~ member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_40_0,axiom,
    ( subset(X1,X2)
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_40_1,axiom,
    ( member(sk1_esk1_2(X1,X2),X1)
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    ( X1 = X2
    | ~ subset(X2,X1)
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_1,axiom,
    ( ~ subset(X2,X1)
    | X1 = X2
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_41_2,axiom,
    ( ~ subset(X1,X2)
    | ~ subset(X2,X1)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_1,axiom,
    ( X1 != X2
    | member(X3,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_42_2,axiom,
    ( ~ member(X3,X1)
    | X1 != X2
    | member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_1,axiom,
    ( X1 != X2
    | member(X3,X1)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_43_2,axiom,
    ( ~ member(X3,X2)
    | X1 != X2
    | member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_45_0,axiom,
    ( subset(X1,X2)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_45_1,axiom,
    ( X1 != X2
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    ( subset(X2,X1)
    | X1 != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_46_1,axiom,
    ( X1 != X2
    | subset(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_44_0,axiom,
    intersection(X1,X2) = intersection(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_47_0,axiom,
    subset(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3] :
      ( ! [X4] :
          ( member(X4,X1)
        <=> ( member(X4,X2)
            & member(X4,X3) ) )
     => X1 = intersection(X2,X3) ),
    file('<stdin>',prove_th19) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( ! [X4] :
            ( member(X4,X1)
          <=> ( member(X4,X2)
              & member(X4,X3) ) )
       => X1 = intersection(X2,X3) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ! [X8,X9] :
      ( ( member(X8,esk2_0)
        | ~ member(X8,esk1_0) )
      & ( member(X8,esk3_0)
        | ~ member(X8,esk1_0) )
      & ( ~ member(X9,esk2_0)
        | ~ member(X9,esk3_0)
        | member(X9,esk1_0) )
      & esk1_0 != intersection(esk2_0,esk3_0) ),
    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_1])])])])])]) ).

cnf(c_0_3_004,negated_conjecture,
    ( member(X1,esk1_0)
    | ~ member(X1,esk3_0)
    | ~ member(X1,esk2_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_005,negated_conjecture,
    ( member(X1,esk2_0)
    | ~ member(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( member(X1,esk3_0)
    | ~ member(X1,esk1_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    esk1_0 != intersection(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7_008,negated_conjecture,
    ( member(X1,esk1_0)
    | ~ member(X1,esk3_0)
    | ~ member(X1,esk2_0) ),
    c_0_3,
    [final] ).

cnf(c_0_8_009,negated_conjecture,
    ( member(X1,esk2_0)
    | ~ member(X1,esk1_0) ),
    c_0_4,
    [final] ).

cnf(c_0_9_010,negated_conjecture,
    ( member(X1,esk3_0)
    | ~ member(X1,esk1_0) ),
    c_0_5,
    [final] ).

cnf(c_0_10_011,negated_conjecture,
    intersection(esk2_0,esk3_0) != esk1_0,
    c_0_6,
    [final] ).

% End CNF derivation

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

cnf(c_29,plain,
    ( member(X0,intersection(X1,X2))
    | ~ member(X0,X2)
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_34_2) ).

cnf(c_109,plain,
    ( member(X0,intersection(X1,X2))
    | ~ member(X0,X2)
    | ~ member(X0,X1) ),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_37135,plain,
    ( member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(X0,sk2_esk3_0))
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk3_0)
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),X0) ),
    inference(instantiation,[status(thm)],[c_109]) ).

cnf(c_37334,plain,
    ( member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(sk2_esk2_0,sk2_esk3_0))
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk3_0)
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_37135]) ).

cnf(c_35,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_7) ).

cnf(c_52,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_35]) ).

cnf(c_68,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_75,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_68]) ).

cnf(c_76,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_75]) ).

cnf(c_115,negated_conjecture,
    ( member(X0,sk2_esk1_0)
    | ~ member(X0,sk2_esk3_0)
    | ~ member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_76]) ).

cnf(c_37152,plain,
    ( member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk1_0)
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk3_0)
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_37,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_9) ).

cnf(c_56,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_37]) ).

cnf(c_70,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_56]) ).

cnf(c_73,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_70]) ).

cnf(c_78,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_73]) ).

cnf(c_117,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_78]) ).

cnf(c_37117,plain,
    ( ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk1_0)
    | member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_117]) ).

cnf(c_36,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_8) ).

cnf(c_54,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_36]) ).

cnf(c_69,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_74,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_69]) ).

cnf(c_77,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_116,negated_conjecture,
    ( ~ member(X0,sk2_esk1_0)
    | member(X0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_77]) ).

cnf(c_37118,plain,
    ( ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk1_0)
    | member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_116]) ).

cnf(c_23,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_37_0) ).

cnf(c_103,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X1) ),
    inference(copy,[status(esa)],[c_23]) ).

cnf(c_37092,plain,
    ( ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(sk2_esk2_0,sk2_esk3_0))
    | member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk2_0) ),
    inference(instantiation,[status(thm)],[c_103]) ).

cnf(c_21,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_38_0) ).

cnf(c_101,plain,
    ( ~ member(X0,intersection(X1,X2))
    | member(X0,X2) ),
    inference(copy,[status(esa)],[c_21]) ).

cnf(c_37094,plain,
    ( ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(sk2_esk2_0,sk2_esk3_0))
    | member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk3_0) ),
    inference(instantiation,[status(thm)],[c_101]) ).

cnf(c_32,plain,
    ( X0 = X1
    | ~ member(sk1_esk2_2(X0,X1),X1)
    | ~ member(sk1_esk2_2(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_33_2) ).

cnf(c_112,plain,
    ( X0 = X1
    | ~ member(sk1_esk2_2(X0,X1),X1)
    | ~ member(sk1_esk2_2(X0,X1),X0) ),
    inference(copy,[status(esa)],[c_32]) ).

cnf(c_37065,plain,
    ( ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(sk2_esk2_0,sk2_esk3_0))
    | ~ member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk1_0)
    | intersection(sk2_esk2_0,sk2_esk3_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_112]) ).

cnf(c_26,plain,
    ( X0 = X1
    | member(sk1_esk2_2(X0,X1),X1)
    | member(sk1_esk2_2(X0,X1),X0) ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_35_2) ).

cnf(c_106,plain,
    ( X0 = X1
    | member(sk1_esk2_2(X0,X1),X1)
    | member(sk1_esk2_2(X0,X1),X0) ),
    inference(copy,[status(esa)],[c_26]) ).

cnf(c_37062,plain,
    ( member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),intersection(sk2_esk2_0,sk2_esk3_0))
    | member(sk1_esk2_2(intersection(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),sk2_esk1_0)
    | intersection(sk2_esk2_0,sk2_esk3_0) = sk2_esk1_0 ),
    inference(instantiation,[status(thm)],[c_106]) ).

cnf(c_38,negated_conjecture,
    intersection(sk2_esk2_0,sk2_esk3_0) != sk2_esk1_0,
    file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p',c_0_10) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_37334,c_37152,c_37117,c_37118,c_37092,c_37094,c_37065,c_37062,c_38]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET578+3 : TPTP v8.1.0. Released v2.2.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 05:11:28 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Running in mono-core mode
% 0.21/0.42  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.42  % FOF problem with conjecture
% 0.21/0.42  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_03777b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_e9c51a | grep -v "SZS"
% 0.21/0.44  
% 0.21/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------  iProver source info 
% 0.21/0.44  
% 0.21/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44  % git: non_committed_changes: true
% 0.21/0.44  % git: last_make_outside_of_git: true
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.45  % --bmc1_dump_file                      -
% 0.21/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.45  % --bmc1_ucm_extend_mode                1
% 0.21/0.45  % --bmc1_ucm_init_mode                  2
% 0.21/0.45  % --bmc1_ucm_cone_mode                  none
% 0.21/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.45  % --bmc1_ucm_relax_model                4
% 0.21/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.45  % --bmc1_ucm_layered_model              none
% 0.21/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.45  
% 0.21/0.45  % ------ AIG Options
% 0.21/0.45  
% 0.21/0.45  % --aig_mode                            false
% 0.21/0.45  
% 0.21/0.45  % ------ Instantiation Options
% 0.21/0.45  
% 0.21/0.45  % --instantiation_flag                  true
% 0.21/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45  % --inst_solver_per_active              750
% 0.21/0.45  % --inst_solver_calls_frac              0.5
% 0.21/0.45  % --inst_passive_queue_type             priority_queues
% 0.21/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45  % --inst_passive_queues_freq            [25;2]
% 0.21/0.45  % --inst_dismatching                    true
% 0.21/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.45  % --inst_prop_sim_given                 true
% 0.21/0.45  % --inst_prop_sim_new                   false
% 0.21/0.45  % --inst_orphan_elimination             true
% 0.21/0.45  % --inst_learning_loop_flag             true
% 0.21/0.45  % --inst_learning_start                 3000
% 0.21/0.45  % --inst_learning_factor                2
% 0.21/0.45  % --inst_start_prop_sim_after_learn     3
% 0.21/0.45  % --inst_sel_renew                      solver
% 0.21/0.45  % --inst_lit_activity_flag              true
% 0.21/0.45  % --inst_out_proof                      true
% 0.21/0.45  
% 0.21/0.45  % ------ Resolution Options
% 0.21/0.45  
% 0.21/0.45  % --resolution_flag                     true
% 0.21/0.45  % --res_lit_sel                         kbo_max
% 0.21/0.45  % --res_to_prop_solver                  none
% 0.21/0.45  % --res_prop_simpl_new                  false
% 0.21/0.45  % --res_prop_simpl_given                false
% 0.21/0.45  % --res_passive_queue_type              priority_queues
% 0.21/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45  % --res_passive_queues_freq             [15;5]
% 0.21/0.45  % --res_forward_subs                    full
% 0.21/0.45  % --res_backward_subs                   full
% 0.21/0.45  % --res_forward_subs_resolution         true
% 0.21/0.45  % --res_backward_subs_resolution        true
% 0.21/0.45  % --res_orphan_elimination              false
% 0.21/0.45  % --res_time_limit                      1000.
% 0.21/0.45  % --res_out_proof                       true
% 0.21/0.45  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_03777b.s
% 0.21/0.45  % --modulo                              true
% 0.21/0.45  
% 0.21/0.45  % ------ Combination Options
% 0.21/0.45  
% 0.21/0.45  % --comb_res_mult                       1000
% 0.21/0.45  % --comb_inst_mult                      300
% 0.21/0.45  % ------ 
% 0.21/0.45  
% 0.21/0.45  % ------ Parsing...% successful
% 0.21/0.45  
% 0.21/0.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.45  
% 0.21/0.45  % ------ Proving...
% 0.21/0.45  % ------ Problem Properties 
% 0.21/0.45  
% 0.21/0.45  % 
% 0.21/0.45  % EPR                                   false
% 0.21/0.45  % Horn                                  false
% 0.21/0.45  % Has equality                          true
% 0.21/0.45  
% 0.21/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % % ------ Current options:
% 0.21/0.45  
% 0.21/0.45  % ------ Input Options
% 0.21/0.45  
% 0.21/0.45  % --out_options                         all
% 0.21/0.45  % --tptp_safe_out                       true
% 0.21/0.45  % --problem_path                        ""
% 0.21/0.45  % --include_path                        ""
% 0.21/0.45  % --clausifier                          .//eprover
% 0.21/0.45  % --clausifier_options                  --tstp-format  
% 0.21/0.45  % --stdin                               false
% 0.21/0.45  % --dbg_backtrace                       false
% 0.21/0.45  % --dbg_dump_prop_clauses               false
% 0.21/0.45  % --dbg_dump_prop_clauses_file          -
% 0.21/0.45  % --dbg_out_stat                        false
% 0.21/0.45  
% 0.21/0.45  % ------ General Options
% 0.21/0.45  
% 0.21/0.45  % --fof                                 false
% 0.21/0.45  % --time_out_real                       150.
% 0.21/0.45  % --time_out_prep_mult                  0.2
% 0.21/0.45  % --time_out_virtual                    -1.
% 0.21/0.45  % --schedule                            none
% 0.21/0.45  % --ground_splitting                    input
% 0.21/0.45  % --splitting_nvd                       16
% 0.21/0.45  % --non_eq_to_eq                        false
% 0.21/0.45  % --prep_gs_sim                         true
% 0.21/0.45  % --prep_unflatten                      false
% 0.21/0.45  % --prep_res_sim                        true
% 0.21/0.45  % --prep_upred                          true
% 0.21/0.45  % --res_sim_input                       true
% 0.21/0.45  % --clause_weak_htbl                    true
% 0.21/0.45  % --gc_record_bc_elim                   false
% 0.21/0.45  % --symbol_type_check                   false
% 0.21/0.45  % --clausify_out                        false
% 0.21/0.45  % --large_theory_mode                   false
% 0.21/0.45  % --prep_sem_filter                     none
% 0.21/0.45  % --prep_sem_filter_out                 false
% 0.21/0.45  % --preprocessed_out                    false
% 0.21/0.45  % --sub_typing                          false
% 0.21/0.45  % --brand_transform                     false
% 0.21/0.45  % --pure_diseq_elim                     true
% 0.21/0.45  % --min_unsat_core                      false
% 0.21/0.45  % --pred_elim                           true
% 0.21/0.45  % --add_important_lit                   false
% 0.21/0.45  % --soft_assumptions                    false
% 0.21/0.45  % --reset_solvers                       false
% 0.21/0.45  % --bc_imp_inh                          []
% 0.21/0.45  % --conj_cone_tolerance                 1.5
% 0.21/0.45  % --prolific_symb_bound                 500
% 0.21/0.45  % --lt_threshold                        2000
% 0.21/0.45  
% 0.21/0.45  % ------ SAT Options
% 0.21/0.45  
% 0.21/0.45  % --sat_mode                            false
% 0.21/0.45  % --sat_fm_restart_options              ""
% 0.21/0.45  % --sat_gr_def                          false
% 0.21/0.45  % --sat_epr_types                       true
% 0.21/0.45  % --sat_non_cyclic_types                false
% 0.21/0.45  % --sat_finite_models                   false
% 0.21/0.45  % --sat_fm_lemmas                       false
% 0.21/0.45  % --sat_fm_prep                         false
% 0.21/0.45  % --sat_fm_uc_incr                      true
% 0.21/0.45  % --sat_out_model                       small
% 0.21/0.45  % --sat_out_clauses                     false
% 0.21/0.45  
% 0.21/0.45  % ------ QBF Options
% 0.21/0.45  
% 0.21/0.45  % --qbf_mode                            false
% 0.21/0.45  % --qbf_elim_univ                       true
% 0.21/0.45  % --qbf_sk_in                           true
% 0.21/0.45  % --qbf_pred_elim                       true
% 0.21/0.45  % --qbf_split                           32
% 0.21/0.45  
% 0.21/0.45  % ------ BMC1 Options
% 0.21/0.45  
% 0.21/0.45  % --bmc1_incremental                    false
% 0.21/0.45  % --bmc1_axioms                         reachable_all
% 0.21/0.45  % --bmc1_min_bound                      0
% 0.21/0.45  % --bmc1_max_bound                      -1
% 0.21/0.45  % --bmc1_max_bound_default              -1
% 0.21/0.45  % --bmc1_symbol_reachability            true
% 0.21/0.45  % --bmc1_property_lemmas                false
% 0.21/0.45  % --bmc1_k_induction                    false
% 0.21/0.45  % --bmc1_non_equiv_states               false
% 0.21/0.45  % --bmc1_deadlock                       false
% 0.21/0.45  % --bmc1_ucm                            false
% 0.21/0.45  % --bmc1_add_unsat_core                 none
% 0.21/0.45  % --bmc1_unsat_core_children            false
% 0.21/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.45  % --bmc1_out_stat                       full
% 0.21/0.45  % --bmc1_ground_init                    false
% 0.21/0.45  % --bmc1_pre_inst_next_state            false
% 0.21/0.45  % --bmc1_pre_inst_state                 false
% 0.21/0.45  % --bmc1_pre_inst_reach_state           false
% 0.21/0.45  % --bmc1_out_unsat_core                 false
% 0.21/0.45  % --bmc1_aig_witness_out                false
% 0.21/0.45  % --bmc1_verbose                        false
% 0.21/0.45  % --bmc1_dump_clauses_tptp              false
% 0.21/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.45  % --bmc1_dump_file                      -
% 0.21/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.45  % --bmc1_ucm_extend_mode                1
% 0.21/0.45  % --bmc1_ucm_init_mode                  2
% 0.21/0.45  % --bmc1_ucm_cone_mode                  none
% 0.21/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.45  % --bmc1_ucm_relax_model                4
% 0.21/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.45  % --bmc1_ucm_layered_model              none
% 0.21/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.45  
% 0.21/0.45  % ------ AIG Options
% 0.21/0.45  
% 0.21/0.45  % --aig_mode                            false
% 0.21/0.45  
% 0.21/0.45  % ------ Instantiation Options
% 0.21/0.45  
% 0.21/0.45  % --instantiation_flag                  true
% 0.21/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.45  % --inst_solver_per_active              750
% 0.21/0.45  % --inst_solver_calls_frac              0.5
% 0.21/0.45  % --inst_passive_queue_type             priority_queues
% 0.21/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.45  % --inst_passive_queues_freq            [25;2]
% 0.21/0.45  % --inst_dismatching                    true
% 0.21/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.45  % --inst_prop_sim_given                 true
% 0.21/0.45  % --inst_prop_sim_new                   false
% 0.21/0.45  % --inst_orphan_elimination             true
% 0.21/0.45  % --inst_learning_loop_flag             true
% 0.21/0.45  % --inst_learning_start                 3000
% 0.21/0.45  % --inst_learning_factor                2
% 0.21/0.45  % --inst_start_prop_sim_after_learn     3
% 0.21/0.45  % --inst_sel_renew                      solver
% 0.21/0.45  % --inst_lit_activity_flag              true
% 0.21/0.45  % --inst_out_proof                      true
% 0.21/0.45  
% 0.21/0.45  % ------ Resolution Options
% 0.21/0.45  
% 0.21/0.45  % --resolution_flag                     true
% 0.21/0.45  % --res_lit_sel                         kbo_max
% 0.21/0.45  % --res_to_prop_solver                  none
% 0.21/0.45  % --res_prop_simpl_new                  false
% 0.21/0.45  % --res_prop_simpl_given                false
% 0.21/0.45  % --res_passive_queue_type              priority_queues
% 0.21/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.45  % --res_passive_queues_freq             [15;5]
% 0.21/0.45  % --res_forward_subs                    full
% 0.21/0.45  % --res_backward_subs                   full
% 0.21/0.45  % --res_forward_subs_resolution         true
% 0.21/0.45  % --res_backward_subs_resolution        true
% 0.21/0.45  % --res_orphan_elimination              false
% 0.21/0.45  % --res_time_limit                      1000.
% 0.21/0.45  % --res_out_proof                       true
% 0.21/0.45  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_03777b.s
% 0.21/0.45  % --modulo                              true
% 0.21/0.45  
% 0.21/0.45  % ------ Combination Options
% 0.21/0.45  
% 0.21/0.45  % --comb_res_mult                       1000
% 0.21/0.45  % --comb_inst_mult                      300
% 0.21/0.45  % ------ 
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % ------ Proving...
% 0.21/0.45  % warning:  shown sat in sat incomplete mode 
% 0.21/0.45  % 
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  cnf(c_18,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_10) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_38,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_18]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_51,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_38]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_52,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_51]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_58,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_52]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_113,negated_conjecture,
% 0.21/0.45      ( intersection(sk3_esk2_0,sk3_esk3_0) != sk3_esk1_0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_58]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_14,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.21/0.45      | ~ member(sk1_esk2_2(X0,X1),X0)
% 0.21/0.45      | X1 = X0 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_45_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_107,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.21/0.45      | ~ member(sk1_esk2_2(X0,X1),X0)
% 0.21/0.45      | X1 = X0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_14]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_127,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0))
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_113,c_107]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_130,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0))
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_127]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_13,plain,
% 0.21/0.45      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_46_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_105,plain,
% 0.21/0.45      ( ~ member(X0,X1) | ~ member(X0,X2) | member(X0,intersection(X1,X2)) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_13]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_106,plain,
% 0.21/0.45      ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_105]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_161,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0)
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk3_0)
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_130,c_106]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_162,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0)
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk3_0)
% 0.21/0.45      | ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_161]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_12,plain,
% 0.21/0.45      ( member(sk1_esk2_2(X0,X1),X1) | member(sk1_esk2_2(X0,X1),X0) | X1 = X0 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_47_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_103,plain,
% 0.21/0.45      ( member(sk1_esk2_2(X0,X1),X1) | member(sk1_esk2_2(X0,X1),X0) | X1 = X0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_12]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_128,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0))
% 0.21/0.45      | member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_113,c_103]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_129,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0))
% 0.21/0.45      | member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_128]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_10,plain,
% 0.21/0.45      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_49_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_99,plain,
% 0.21/0.45      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_10]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_100,plain,
% 0.21/0.45      ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_99]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_155,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0)
% 0.21/0.45      | member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_129,c_100]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_156,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0)
% 0.21/0.45      | member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_155]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_16,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_8) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_34,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_16]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_49,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_34]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_54,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_49]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_56,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_54]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_109,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_56]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_167,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(forward_subsumption_resolution,[status(thm)],[c_156,c_109]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_168,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk2_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_167]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_15,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_7) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_32,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_15]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_48,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_32]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_55,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_48]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_59,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_55]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_115,negated_conjecture,
% 0.21/0.45      ( member(X0,sk3_esk1_0)
% 0.21/0.45      | ~ member(X0,sk3_esk3_0)
% 0.21/0.45      | ~ member(X0,sk3_esk2_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_59]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_181,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk3_0) ),
% 0.21/0.45      inference(forward_subsumption_resolution,
% 0.21/0.45                [status(thm)],
% 0.21/0.45                [c_162,c_168,c_115]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_182,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk3_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_181]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_17,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_9) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_36,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_17]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_50,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_36]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_53,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_50]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_57,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_53]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_111,negated_conjecture,
% 0.21/0.45      ( ~ member(X0,sk3_esk1_0) | member(X0,sk3_esk3_0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_57]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_184,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_182,c_111]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_185,plain,
% 0.21/0.45      ( ~ member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),sk3_esk1_0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_184]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_188,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0)) ),
% 0.21/0.45      inference(backward_subsumption_resolution,[status(thm)],[c_185,c_129]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_189,plain,
% 0.21/0.45      ( member(sk1_esk2_2(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)),intersection(sk3_esk2_0,sk3_esk3_0)) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_188]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_8,plain,
% 0.21/0.45      ( ~ subset(X0,X1) | ~ subset(X1,X0) | X0 = X1 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_51_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_95,plain,
% 0.21/0.45      ( ~ subset(X0,X1) | ~ subset(X1,X0) | X0 = X1 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_8]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_131,plain,
% 0.21/0.45      ( ~ subset(intersection(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.21/0.45      | ~ subset(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)) ),
% 0.21/0.45      inference(resolution,[status(thm)],[c_113,c_95]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_132,plain,
% 0.21/0.45      ( ~ subset(intersection(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.21/0.45      | ~ subset(sk3_esk1_0,intersection(sk3_esk2_0,sk3_esk3_0)) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_131]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_11,plain,
% 0.21/0.45      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_48_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_101,plain,
% 0.21/0.45      ( ~ member(sk1_esk1_2(X0,X1),X0) | subset(X1,X0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_11]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_102,plain,
% 0.21/0.45      ( subset(X0,X1) | ~ member(sk1_esk1_2(X1,X0),X1) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_101]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_9,plain,
% 0.21/0.45      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_50_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_97,plain,
% 0.21/0.45      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_9]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_98,plain,
% 0.21/0.45      ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_97]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_7,plain,
% 0.21/0.45      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_52_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_93,plain,
% 0.21/0.45      ( member(sk1_esk1_2(X0,X1),X1) | subset(X1,X0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_7]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_94,plain,
% 0.21/0.45      ( subset(X0,X1) | member(sk1_esk1_2(X1,X0),X0) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_93]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_4,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_55_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_87,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_4]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_88,plain,
% 0.21/0.45      ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 0.21/0.45      inference(rewriting,[status(thm)],[c_87]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_6,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_53_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_91,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_6]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_5,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_54_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_89,plain,
% 0.21/0.45      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_5]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_3,plain,
% 0.21/0.45      ( subset(X0,X1) | X0 != X1 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_56_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_85,plain,
% 0.21/0.45      ( subset(X0,X1) | X0 != X1 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_3]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_2,plain,
% 0.21/0.45      ( subset(X0,X1) | X1 != X0 ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_57_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_83,plain,
% 0.21/0.45      ( subset(X0,X1) | X1 != X0 ),
% 0.21/0.45      inference(copy,[status(esa)],[c_2]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_1,plain,
% 0.21/0.45      ( intersection(X0,X1) = intersection(X1,X0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_58_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_81,plain,
% 0.21/0.45      ( intersection(X0,X1) = intersection(X1,X0) ),
% 0.21/0.45      inference(copy,[status(esa)],[c_1]) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_0,plain,
% 0.21/0.45      ( subset(X0,X0) ),
% 0.21/0.45      file('/export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p', c_0_59_0) ).
% 0.21/0.45  
% 0.21/0.45  cnf(c_79,plain,( subset(X0,X0) ),inference(copy,[status(esa)],[c_0]) ).
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  
% 0.21/0.45  % ------                             Statistics
% 0.21/0.45  
% 0.21/0.45  % ------ General
% 0.21/0.45  
% 0.21/0.45  % num_of_input_clauses:                 19
% 0.21/0.45  % num_of_input_neg_conjectures:         4
% 0.21/0.45  % num_of_splits:                        0
% 0.21/0.45  % num_of_split_atoms:                   0
% 0.21/0.45  % num_of_sem_filtered_clauses:          0
% 0.21/0.45  % num_of_subtypes:                      0
% 0.21/0.45  % monotx_restored_types:                0
% 0.21/0.45  % sat_num_of_epr_types:                 0
% 0.21/0.45  % sat_num_of_non_cyclic_types:          0
% 0.21/0.45  % sat_guarded_non_collapsed_types:      0
% 0.21/0.45  % is_epr:                               0
% 0.21/0.45  % is_horn:                              0
% 0.21/0.45  % has_eq:                               1
% 0.21/0.45  % num_pure_diseq_elim:                  0
% 0.21/0.45  % simp_replaced_by:                     0
% 0.21/0.45  % res_preprocessed:                     8
% 0.21/0.45  % prep_upred:                           0
% 0.21/0.45  % prep_unflattend:                      0
% 0.21/0.45  % pred_elim_cands:                      0
% 0.21/0.45  % pred_elim:                            0
% 0.21/0.45  % pred_elim_cl:                         0
% 0.21/0.45  % pred_elim_cycles:                     0
% 0.21/0.45  % forced_gc_time:                       0
% 0.21/0.45  % gc_basic_clause_elim:                 0
% 0.21/0.45  % parsing_time:                         0.
% 0.21/0.45  % sem_filter_time:                      0.
% 0.21/0.45  % pred_elim_time:                       0.
% 0.21/0.45  % out_proof_time:                       0.
% 0.21/0.45  % monotx_time:                          0.
% 0.21/0.45  % subtype_inf_time:                     0.
% 0.21/0.45  % unif_index_cands_time:                0.
% 0.21/0.45  % unif_index_add_time:                  0.
% 0.21/0.45  % total_time:                           0.028
% 0.21/0.45  % num_of_symbols:                       33
% 0.21/0.45  % num_of_terms:                         111
% 0.21/0.45  
% 0.21/0.45  % ------ Propositional Solver
% 0.21/0.45  
% 0.21/0.45  % prop_solver_calls:                    1
% 0.21/0.45  % prop_fast_solver_calls:               24
% 0.21/0.45  % prop_num_of_clauses:                  32
% 0.21/0.45  % prop_preprocess_simplified:           98
% 0.21/0.45  % prop_fo_subsumed:                     0
% 0.21/0.45  % prop_solver_time:                     0.
% 0.21/0.45  % prop_fast_solver_time:                0.
% 0.21/0.45  % prop_unsat_core_time:                 0.
% 0.21/0.45  
% 0.21/0.45  % ------ QBF 
% 0.21/0.45  
% 0.21/0.45  % qbf_q_res:                            0
% 0.21/0.45  % qbf_num_tautologies:                  0
% 0.21/0.45  % qbf_prep_cycles:                      0
% 0.21/0.45  
% 0.21/0.45  % ------ BMC1
% 0.21/0.45  
% 0.21/0.45  % bmc1_current_bound:                   -1
% 0.21/0.45  % bmc1_last_solved_bound:               -1
% 0.21/0.45  % bmc1_unsat_core_size:                 -1
% 0.21/0.45  % bmc1_unsat_core_parents_size:         -1
% 0.21/0.45  % bmc1_merge_next_fun:                  0
% 0.21/0.45  % bmc1_unsat_core_clauses_time:         0.
% 0.21/0.45  
% 0.21/0.45  % ------ Instantiation
% 0.21/0.45  
% 0.21/0.45  % inst_num_of_clauses:                  19
% 0.21/0.45  % inst_num_in_passive:                  0
% 0.21/0.45  % inst_num_in_active:                   0
% 0.21/0.45  % inst_num_in_unprocessed:              19
% 0.21/0.45  % inst_num_of_loops:                    0
% 0.21/0.45  % inst_num_of_learning_restarts:        0
% 0.21/0.45  % inst_num_moves_active_passive:        0
% 0.21/0.45  % inst_lit_activity:                    0
% 0.21/0.45  % inst_lit_activity_moves:              0
% 0.21/0.45  % inst_num_tautologies:                 0
% 0.21/0.45  % inst_num_prop_implied:                0
% 0.21/0.45  % inst_num_existing_simplified:         0
% 0.21/0.45  % inst_num_eq_res_simplified:           0
% 0.21/0.45  % inst_num_child_elim:                  0
% 0.21/0.45  % inst_num_of_dismatching_blockings:    0
% 0.21/0.45  % inst_num_of_non_proper_insts:         0
% 0.21/0.45  % inst_num_of_duplicates:               0
% 0.21/0.45  % inst_inst_num_from_inst_to_res:       0
% 0.21/0.45  % inst_dismatching_checking_time:       0.
% 0.21/0.45  
% 0.21/0.45  % ------ Resolution
% 0.21/0.45  
% 0.21/0.45  % res_num_of_clauses:                   30
% 0.21/0.45  % res_num_in_passive:                   0
% 0.21/0.45  % res_num_in_active:                    24
% 0.21/0.45  % res_num_of_loops:                     14
% 0.21/0.45  % res_forward_subset_subsumed:          2
% 0.21/0.45  % res_backward_subset_subsumed:         0
% 0.21/0.45  % res_forward_subsumed:                 1
% 0.21/0.45  % res_backward_subsumed:                2
% 0.21/0.45  % res_forward_subsumption_resolution:   3
% 0.21/0.45  % res_backward_subsumption_resolution:  1
% 0.21/0.45  % res_clause_to_clause_subsumption:     13
% 0.21/0.45  % res_orphan_elimination:               0
% 0.21/0.45  % res_tautology_del:                    5
% 0.21/0.45  % res_num_eq_res_simplified:            0
% 0.21/0.45  % res_num_sel_changes:                  0
% 0.21/0.45  % res_moves_from_active_to_pass:        0
% 0.21/0.45  
% 0.21/0.45  % Status Unknown
% 0.21/0.49  % Orienting using strategy ClausalAll
% 0.21/0.49  % FOF problem with conjecture
% 0.21/0.49  % 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/sandbox2/tmp/iprover_proof_03777b.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d559a8.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_9d9957 | grep -v "SZS"
% 0.21/0.52  
% 0.21/0.52  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.52  
% 0.21/0.52  % 
% 0.21/0.52  % ------  iProver source info 
% 0.21/0.52  
% 0.21/0.52  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.52  % git: non_committed_changes: true
% 0.21/0.52  % git: last_make_outside_of_git: true
% 0.21/0.52  
% 0.21/0.52  % 
% 0.21/0.52  % ------ Input Options
% 0.21/0.52  
% 0.21/0.52  % --out_options                         all
% 0.21/0.52  % --tptp_safe_out                       true
% 0.21/0.52  % --problem_path                        ""
% 0.21/0.52  % --include_path                        ""
% 0.21/0.52  % --clausifier                          .//eprover
% 0.21/0.52  % --clausifier_options                  --tstp-format  
% 0.21/0.52  % --stdin                               false
% 0.21/0.52  % --dbg_backtrace                       false
% 0.21/0.52  % --dbg_dump_prop_clauses               false
% 0.21/0.52  % --dbg_dump_prop_clauses_file          -
% 0.21/0.52  % --dbg_out_stat                        false
% 0.21/0.52  
% 0.21/0.52  % ------ General Options
% 0.21/0.52  
% 0.21/0.52  % --fof                                 false
% 0.21/0.52  % --time_out_real                       150.
% 0.21/0.52  % --time_out_prep_mult                  0.2
% 0.21/0.52  % --time_out_virtual                    -1.
% 0.21/0.52  % --schedule                            none
% 0.21/0.52  % --ground_splitting                    input
% 0.21/0.52  % --splitting_nvd                       16
% 0.21/0.52  % --non_eq_to_eq                        false
% 0.21/0.52  % --prep_gs_sim                         true
% 0.21/0.52  % --prep_unflatten                      false
% 0.21/0.52  % --prep_res_sim                        true
% 0.21/0.52  % --prep_upred                          true
% 0.21/0.52  % --res_sim_input                       true
% 0.21/0.52  % --clause_weak_htbl                    true
% 0.21/0.52  % --gc_record_bc_elim                   false
% 0.21/0.52  % --symbol_type_check                   false
% 0.21/0.52  % --clausify_out                        false
% 0.21/0.52  % --large_theory_mode                   false
% 0.21/0.52  % --prep_sem_filter                     none
% 0.21/0.52  % --prep_sem_filter_out                 false
% 0.21/0.52  % --preprocessed_out                    false
% 0.21/0.52  % --sub_typing                          false
% 0.21/0.52  % --brand_transform                     false
% 0.21/0.52  % --pure_diseq_elim                     true
% 0.21/0.52  % --min_unsat_core                      false
% 0.21/0.52  % --pred_elim                           true
% 0.21/0.52  % --add_important_lit                   false
% 0.21/0.52  % --soft_assumptions                    false
% 0.21/0.52  % --reset_solvers                       false
% 0.21/0.52  % --bc_imp_inh                          []
% 0.21/0.52  % --conj_cone_tolerance                 1.5
% 0.21/0.52  % --prolific_symb_bound                 500
% 0.21/0.52  % --lt_threshold                        2000
% 0.21/0.52  
% 0.21/0.52  % ------ SAT Options
% 0.21/0.52  
% 0.21/0.52  % --sat_mode                            false
% 0.21/0.52  % --sat_fm_restart_options              ""
% 0.21/0.52  % --sat_gr_def                          false
% 0.21/0.52  % --sat_epr_types                       true
% 0.21/0.52  % --sat_non_cyclic_types                false
% 0.21/0.52  % --sat_finite_models                   false
% 0.21/0.52  % --sat_fm_lemmas                       false
% 0.21/0.52  % --sat_fm_prep                         false
% 0.21/0.52  % --sat_fm_uc_incr                      true
% 0.21/0.52  % --sat_out_model                       small
% 0.21/0.52  % --sat_out_clauses                     false
% 0.21/0.52  
% 0.21/0.52  % ------ QBF Options
% 0.21/0.52  
% 0.21/0.52  % --qbf_mode                            false
% 0.21/0.52  % --qbf_elim_univ                       true
% 0.21/0.52  % --qbf_sk_in                           true
% 0.21/0.52  % --qbf_pred_elim                       true
% 0.21/0.52  % --qbf_split                           32
% 0.21/0.52  
% 0.21/0.52  % ------ BMC1 Options
% 0.21/0.52  
% 0.21/0.52  % --bmc1_incremental                    false
% 0.21/0.52  % --bmc1_axioms                         reachable_all
% 0.21/0.52  % --bmc1_min_bound                      0
% 0.21/0.52  % --bmc1_max_bound                      -1
% 0.21/0.52  % --bmc1_max_bound_default              -1
% 0.21/0.52  % --bmc1_symbol_reachability            true
% 0.21/0.52  % --bmc1_property_lemmas                false
% 0.21/0.52  % --bmc1_k_induction                    false
% 0.21/0.52  % --bmc1_non_equiv_states               false
% 0.21/0.52  % --bmc1_deadlock                       false
% 0.21/0.52  % --bmc1_ucm                            false
% 0.21/0.52  % --bmc1_add_unsat_core                 none
% 0.21/0.52  % --bmc1_unsat_core_children            false
% 0.21/0.52  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.52  % --bmc1_out_stat                       full
% 0.21/0.52  % --bmc1_ground_init                    false
% 0.21/0.52  % --bmc1_pre_inst_next_state            false
% 0.21/0.52  % --bmc1_pre_inst_state                 false
% 0.21/0.52  % --bmc1_pre_inst_reach_state           false
% 0.21/0.52  % --bmc1_out_unsat_core                 false
% 0.21/0.52  % --bmc1_aig_witness_out                false
% 0.21/0.52  % --bmc1_verbose                        false
% 0.21/0.52  % --bmc1_dump_clauses_tptp              false
% 0.21/0.53  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.53  % --bmc1_dump_file                      -
% 0.21/0.53  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.53  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.53  % --bmc1_ucm_extend_mode                1
% 0.21/0.53  % --bmc1_ucm_init_mode                  2
% 0.21/0.53  % --bmc1_ucm_cone_mode                  none
% 0.21/0.53  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.53  % --bmc1_ucm_relax_model                4
% 0.21/0.53  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.53  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.53  % --bmc1_ucm_layered_model              none
% 0.21/0.53  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.53  
% 0.21/0.53  % ------ AIG Options
% 0.21/0.53  
% 0.21/0.53  % --aig_mode                            false
% 0.21/0.53  
% 0.21/0.53  % ------ Instantiation Options
% 0.21/0.53  
% 0.21/0.53  % --instantiation_flag                  true
% 0.21/0.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.53  % --inst_solver_per_active              750
% 0.21/0.53  % --inst_solver_calls_frac              0.5
% 0.21/0.53  % --inst_passive_queue_type             priority_queues
% 0.21/0.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.53  % --inst_passive_queues_freq            [25;2]
% 0.21/0.53  % --inst_dismatching                    true
% 0.21/0.53  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.53  % --inst_prop_sim_given                 true
% 0.21/0.53  % --inst_prop_sim_new                   false
% 0.21/0.53  % --inst_orphan_elimination             true
% 0.21/0.53  % --inst_learning_loop_flag             true
% 0.21/0.53  % --inst_learning_start                 3000
% 0.21/0.53  % --inst_learning_factor                2
% 0.21/0.53  % --inst_start_prop_sim_after_learn     3
% 0.21/0.53  % --inst_sel_renew                      solver
% 0.21/0.53  % --inst_lit_activity_flag              true
% 0.21/0.53  % --inst_out_proof                      true
% 0.21/0.53  
% 0.21/0.53  % ------ Resolution Options
% 0.21/0.53  
% 0.21/0.53  % --resolution_flag                     true
% 0.21/0.53  % --res_lit_sel                         kbo_max
% 0.21/0.53  % --res_to_prop_solver                  none
% 0.21/0.53  % --res_prop_simpl_new                  false
% 0.21/0.53  % --res_prop_simpl_given                false
% 0.21/0.53  % --res_passive_queue_type              priority_queues
% 0.21/0.53  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.53  % --res_passive_queues_freq             [15;5]
% 0.21/0.53  % --res_forward_subs                    full
% 0.21/0.53  % --res_backward_subs                   full
% 0.21/0.53  % --res_forward_subs_resolution         true
% 0.21/0.53  % --res_backward_subs_resolution        true
% 0.21/0.53  % --res_orphan_elimination              false
% 0.21/0.53  % --res_time_limit                      1000.
% 0.21/0.53  % --res_out_proof                       true
% 0.21/0.53  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_03777b.s
% 0.21/0.53  % --modulo                              true
% 0.21/0.53  
% 0.21/0.53  % ------ Combination Options
% 0.21/0.53  
% 0.21/0.53  % --comb_res_mult                       1000
% 0.21/0.53  % --comb_inst_mult                      300
% 0.21/0.53  % ------ 
% 0.21/0.53  
% 0.21/0.53  % ------ Parsing...% successful
% 0.21/0.53  
% 0.21/0.53  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.21/0.53  
% 0.21/0.53  % ------ Proving...
% 0.21/0.53  % ------ Problem Properties 
% 0.21/0.53  
% 0.21/0.53  % 
% 0.21/0.53  % EPR                                   false
% 0.21/0.53  % Horn                                  false
% 0.21/0.53  % Has equality                          true
% 0.21/0.53  
% 0.21/0.53  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.53  
% 0.21/0.53  
% 0.21/0.53  % % ------ Current options:
% 0.21/0.53  
% 0.21/0.53  % ------ Input Options
% 0.21/0.53  
% 0.21/0.53  % --out_options                         all
% 0.21/0.53  % --tptp_safe_out                       true
% 0.21/0.53  % --problem_path                        ""
% 0.21/0.53  % --include_path                        ""
% 0.21/0.53  % --clausifier                          .//eprover
% 0.21/0.53  % --clausifier_options                  --tstp-format  
% 0.21/0.53  % --stdin                               false
% 0.21/0.53  % --dbg_backtrace                       false
% 0.21/0.53  % --dbg_dump_prop_clauses               false
% 0.21/0.53  % --dbg_dump_prop_clauses_file          -
% 0.21/0.53  % --dbg_out_stat                        false
% 0.21/0.53  
% 0.21/0.53  % ------ General Options
% 0.21/0.53  
% 0.21/0.53  % --fof                                 false
% 0.21/0.53  % --time_out_real                       150.
% 0.21/0.53  % --time_out_prep_mult                  0.2
% 0.21/0.53  % --time_out_virtual                    -1.
% 0.21/0.53  % --schedule                            none
% 0.21/0.53  % --ground_splitting                    input
% 0.21/0.53  % --splitting_nvd                       16
% 0.21/0.53  % --non_eq_to_eq                        false
% 0.21/0.53  % --prep_gs_sim                         true
% 0.21/0.53  % --prep_unflatten                      false
% 0.21/0.53  % --prep_res_sim                        true
% 0.21/0.53  % --prep_upred                          true
% 0.21/0.53  % --res_sim_input                       true
% 0.21/0.53  % --clause_weak_htbl                    true
% 0.21/0.53  % --gc_record_bc_elim                   false
% 0.21/0.53  % --symbol_type_check                   false
% 0.21/0.53  % --clausify_out                        false
% 0.21/0.53  % --large_theory_mode                   false
% 0.21/0.53  % --prep_sem_filter                     none
% 0.21/0.53  % --prep_sem_filter_out                 false
% 0.21/0.53  % --preprocessed_out                    false
% 0.21/0.53  % --sub_typing                          false
% 0.21/0.53  % --brand_transform                     false
% 0.21/0.53  % --pure_diseq_elim                     true
% 0.21/0.53  % --min_unsat_core                      false
% 0.21/0.53  % --pred_elim                           true
% 0.21/0.53  % --add_important_lit                   false
% 0.21/0.53  % --soft_assumptions                    false
% 0.21/0.53  % --reset_solvers                       false
% 0.21/0.53  % --bc_imp_inh                          []
% 0.21/0.53  % --conj_cone_tolerance                 1.5
% 0.21/0.53  % --prolific_symb_bound                 500
% 0.21/0.53  % --lt_threshold                        2000
% 0.21/0.53  
% 0.21/0.53  % ------ SAT Options
% 0.21/0.53  
% 0.21/0.53  % --sat_mode                            false
% 0.21/0.53  % --sat_fm_restart_options              ""
% 0.21/0.53  % --sat_gr_def                          false
% 0.21/0.53  % --sat_epr_types                       true
% 0.21/0.53  % --sat_non_cyclic_types                false
% 0.21/0.53  % --sat_finite_models                   false
% 0.21/0.53  % --sat_fm_lemmas                       false
% 0.21/0.53  % --sat_fm_prep                         false
% 0.21/0.53  % --sat_fm_uc_incr                      true
% 0.21/0.53  % --sat_out_model                       small
% 0.21/0.53  % --sat_out_clauses                     false
% 0.21/0.53  
% 0.21/0.53  % ------ QBF Options
% 0.21/0.53  
% 0.21/0.53  % --qbf_mode                            false
% 0.21/0.53  % --qbf_elim_univ                       true
% 0.21/0.53  % --qbf_sk_in                           true
% 0.21/0.53  % --qbf_pred_elim                       true
% 0.21/0.53  % --qbf_split                           32
% 0.21/0.53  
% 0.21/0.53  % ------ BMC1 Options
% 0.21/0.53  
% 0.21/0.53  % --bmc1_incremental                    false
% 0.21/0.53  % --bmc1_axioms                         reachable_all
% 0.21/0.53  % --bmc1_min_bound                      0
% 0.21/0.53  % --bmc1_max_bound                      -1
% 0.21/0.53  % --bmc1_max_bound_default              -1
% 0.21/0.53  % --bmc1_symbol_reachability            true
% 0.21/0.53  % --bmc1_property_lemmas                false
% 0.21/0.53  % --bmc1_k_induction                    false
% 0.21/0.53  % --bmc1_non_equiv_states               false
% 0.21/0.53  % --bmc1_deadlock                       false
% 0.21/0.53  % --bmc1_ucm                            false
% 0.21/0.53  % --bmc1_add_unsat_core                 none
% 0.21/0.53  % --bmc1_unsat_core_children            false
% 0.21/0.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.53  % --bmc1_out_stat                       full
% 0.21/0.53  % --bmc1_ground_init                    false
% 0.21/0.53  % --bmc1_pre_inst_next_state            false
% 0.21/0.53  % --bmc1_pre_inst_state                 false
% 0.21/0.53  % --bmc1_pre_inst_reach_state           false
% 0.21/0.53  % --bmc1_out_unsat_core                 false
% 0.21/0.53  % --bmc1_aig_witness_out                false
% 0.21/0.53  % --bmc1_verbose                        false
% 0.21/0.53  % --bmc1_dump_clauses_tptp              false
% 0.21/0.53  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.53  % --bmc1_dump_file                      -
% 0.21/0.53  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.53  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.53  % --bmc1_ucm_extend_mode                1
% 0.21/0.53  % --bmc1_ucm_init_mode                  2
% 0.21/0.53  % --bmc1_ucm_cone_mode                  none
% 0.21/0.53  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.53  % --bmc1_ucm_relax_model                4
% 0.21/0.53  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.53  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.53  % --bmc1_ucm_layered_model              none
% 0.21/0.53  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.53  
% 0.21/0.53  % ------ AIG Options
% 0.21/0.53  
% 0.21/0.53  % --aig_mode                            false
% 0.21/0.53  
% 0.21/0.53  % ------ Instantiation Options
% 0.21/0.53  
% 0.21/0.53  % --instantiation_flag                  true
% 0.21/0.53  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.53  % --inst_solver_per_active              750
% 0.21/0.53  % --inst_solver_calls_frac              0.5
% 0.21/0.53  % --inst_passive_queue_type             priority_queues
% 0.21/0.53  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.53  % --inst_passive_queues_freq            [25;2]
% 0.21/0.53  % --inst_dismatching                    true
% 0.21/0.53  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.53  % --inst_prop_sim_given                 true
% 1.81/2.05  % --inst_prop_sim_new                   false
% 1.81/2.05  % --inst_orphan_elimination             true
% 1.81/2.05  % --inst_learning_loop_flag             true
% 1.81/2.05  % --inst_learning_start                 3000
% 1.81/2.05  % --inst_learning_factor                2
% 1.81/2.05  % --inst_start_prop_sim_after_learn     3
% 1.81/2.05  % --inst_sel_renew                      solver
% 1.81/2.05  % --inst_lit_activity_flag              true
% 1.81/2.05  % --inst_out_proof                      true
% 1.81/2.05  
% 1.81/2.05  % ------ Resolution Options
% 1.81/2.05  
% 1.81/2.05  % --resolution_flag                     true
% 1.81/2.05  % --res_lit_sel                         kbo_max
% 1.81/2.05  % --res_to_prop_solver                  none
% 1.81/2.05  % --res_prop_simpl_new                  false
% 1.81/2.05  % --res_prop_simpl_given                false
% 1.81/2.05  % --res_passive_queue_type              priority_queues
% 1.81/2.05  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.81/2.05  % --res_passive_queues_freq             [15;5]
% 1.81/2.05  % --res_forward_subs                    full
% 1.81/2.05  % --res_backward_subs                   full
% 1.81/2.05  % --res_forward_subs_resolution         true
% 1.81/2.05  % --res_backward_subs_resolution        true
% 1.81/2.05  % --res_orphan_elimination              false
% 1.81/2.05  % --res_time_limit                      1000.
% 1.81/2.05  % --res_out_proof                       true
% 1.81/2.05  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_03777b.s
% 1.81/2.05  % --modulo                              true
% 1.81/2.05  
% 1.81/2.05  % ------ Combination Options
% 1.81/2.05  
% 1.81/2.05  % --comb_res_mult                       1000
% 1.81/2.05  % --comb_inst_mult                      300
% 1.81/2.05  % ------ 
% 1.81/2.05  
% 1.81/2.05  
% 1.81/2.05  
% 1.81/2.05  % ------ Proving...
% 1.81/2.05  % 
% 1.81/2.05  
% 1.81/2.05  
% 1.81/2.05  % ------                             Statistics
% 1.81/2.05  
% 1.81/2.05  % ------ General
% 1.81/2.05  
% 1.81/2.05  % num_of_input_clauses:                 39
% 1.81/2.05  % num_of_input_neg_conjectures:         4
% 1.81/2.05  % num_of_splits:                        0
% 1.81/2.05  % num_of_split_atoms:                   0
% 1.81/2.05  % num_of_sem_filtered_clauses:          0
% 1.81/2.05  % num_of_subtypes:                      0
% 1.81/2.05  % monotx_restored_types:                0
% 1.81/2.05  % sat_num_of_epr_types:                 0
% 1.81/2.05  % sat_num_of_non_cyclic_types:          0
% 1.81/2.05  % sat_guarded_non_collapsed_types:      0
% 1.81/2.05  % is_epr:                               0
% 1.81/2.05  % is_horn:                              0
% 1.81/2.05  % has_eq:                               1
% 1.81/2.05  % num_pure_diseq_elim:                  0
% 1.81/2.05  % simp_replaced_by:                     0
% 1.81/2.05  % res_preprocessed:                     8
% 1.81/2.05  % prep_upred:                           0
% 1.81/2.05  % prep_unflattend:                      0
% 1.81/2.05  % pred_elim_cands:                      0
% 1.81/2.05  % pred_elim:                            0
% 1.81/2.05  % pred_elim_cl:                         0
% 1.81/2.05  % pred_elim_cycles:                     0
% 1.81/2.05  % forced_gc_time:                       0
% 1.81/2.05  % gc_basic_clause_elim:                 0
% 1.81/2.05  % parsing_time:                         0.001
% 1.81/2.05  % sem_filter_time:                      0.
% 1.81/2.05  % pred_elim_time:                       0.
% 1.81/2.05  % out_proof_time:                       0.
% 1.81/2.05  % monotx_time:                          0.
% 1.81/2.05  % subtype_inf_time:                     0.
% 1.81/2.05  % unif_index_cands_time:                0.005
% 1.81/2.05  % unif_index_add_time:                  0.002
% 1.81/2.05  % total_time:                           1.552
% 1.81/2.05  % num_of_symbols:                       33
% 1.81/2.05  % num_of_terms:                         87581
% 1.81/2.05  
% 1.81/2.05  % ------ Propositional Solver
% 1.81/2.05  
% 1.81/2.05  % prop_solver_calls:                    7
% 1.81/2.05  % prop_fast_solver_calls:               24
% 1.81/2.05  % prop_num_of_clauses:                  174
% 1.81/2.05  % prop_preprocess_simplified:           477
% 1.81/2.05  % prop_fo_subsumed:                     0
% 1.81/2.05  % prop_solver_time:                     0.
% 1.81/2.05  % prop_fast_solver_time:                0.
% 1.81/2.05  % prop_unsat_core_time:                 0.
% 1.81/2.05  
% 1.81/2.05  % ------ QBF 
% 1.81/2.05  
% 1.81/2.05  % qbf_q_res:                            0
% 1.81/2.05  % qbf_num_tautologies:                  0
% 1.81/2.05  % qbf_prep_cycles:                      0
% 1.81/2.05  
% 1.81/2.05  % ------ BMC1
% 1.81/2.05  
% 1.81/2.05  % bmc1_current_bound:                   -1
% 1.81/2.05  % bmc1_last_solved_bound:               -1
% 1.81/2.05  % bmc1_unsat_core_size:                 -1
% 1.81/2.05  % bmc1_unsat_core_parents_size:         -1
% 1.81/2.05  % bmc1_merge_next_fun:                  0
% 1.81/2.05  % bmc1_unsat_core_clauses_time:         0.
% 1.81/2.05  
% 1.81/2.05  % ------ Instantiation
% 1.81/2.05  
% 1.81/2.05  % inst_num_of_clauses:                  153
% 1.81/2.05  % inst_num_in_passive:                  18
% 1.81/2.05  % inst_num_in_active:                   80
% 1.81/2.05  % inst_num_in_unprocessed:              55
% 1.81/2.05  % inst_num_of_loops:                    97
% 1.81/2.05  % inst_num_of_learning_restarts:        0
% 1.81/2.06  % inst_num_moves_active_passive:        13
% 1.81/2.06  % inst_lit_activity:                    67
% 1.81/2.06  % inst_lit_activity_moves:              0
% 1.81/2.06  % inst_num_tautologies:                 0
% 1.81/2.06  % inst_num_prop_implied:                0
% 1.81/2.06  % inst_num_existing_simplified:         0
% 1.81/2.06  % inst_num_eq_res_simplified:           0
% 1.81/2.06  % inst_num_child_elim:                  0
% 1.81/2.06  % inst_num_of_dismatching_blockings:    100
% 1.81/2.06  % inst_num_of_non_proper_insts:         201
% 1.81/2.06  % inst_num_of_duplicates:               142
% 1.81/2.06  % inst_inst_num_from_inst_to_res:       0
% 1.81/2.06  % inst_dismatching_checking_time:       0.
% 1.81/2.06  
% 1.81/2.06  % ------ Resolution
% 1.81/2.06  
% 1.81/2.06  % res_num_of_clauses:                   13169
% 1.81/2.06  % res_num_in_passive:                   12456
% 1.81/2.06  % res_num_in_active:                    694
% 1.81/2.06  % res_num_of_loops:                     1000
% 1.81/2.06  % res_forward_subset_subsumed:          1528
% 1.81/2.06  % res_backward_subset_subsumed:         0
% 1.81/2.06  % res_forward_subsumed:                 323
% 1.81/2.06  % res_backward_subsumed:                3
% 1.81/2.06  % res_forward_subsumption_resolution:   46
% 1.81/2.06  % res_backward_subsumption_resolution:  0
% 1.81/2.06  % res_clause_to_clause_subsumption:     22738
% 1.81/2.06  % res_orphan_elimination:               0
% 1.81/2.06  % res_tautology_del:                    636
% 1.81/2.06  % res_num_eq_res_simplified:            0
% 1.81/2.06  % res_num_sel_changes:                  0
% 1.81/2.06  % res_moves_from_active_to_pass:        0
% 1.81/2.06  
% 1.81/2.06  % Status Unsatisfiable
% 1.81/2.06  % SZS status Theorem
% 1.81/2.06  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------