TSTP Solution File: SET624+3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 02:14:49 EDT 2022

% Result   : Theorem 0.46s 0.65s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   34
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  152 (  19 unt;   0 def)
%            Number of atoms       :  378 (  32 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :  376 ( 150   ~; 203   |;  11   &)
%                                         (  10 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   3 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   :  247 (  22 sgn  51   !;   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,
    ! [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,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    file('<stdin>',union_defn) ).

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

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( intersect(X1,X2)
     => intersect(X2,X1) ),
    file('<stdin>',symmetry_of_intersect) ).

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

fof(c_0_5,axiom,
    ! [X1,X2] :
      ( X1 = X2
    <=> ! [X3] :
          ( member(X3,X1)
        <=> member(X3,X2) ) ),
    c_0_0 ).

fof(c_0_6,axiom,
    ! [X1,X2,X3] :
      ( member(X3,union(X1,X2))
    <=> ( member(X3,X1)
        | member(X3,X2) ) ),
    c_0_1 ).

fof(c_0_7,axiom,
    ! [X1,X2] :
      ( intersect(X1,X2)
    <=> ? [X3] :
          ( member(X3,X1)
          & member(X3,X2) ) ),
    c_0_2 ).

fof(c_0_8,axiom,
    ! [X1,X2] :
      ( intersect(X1,X2)
     => intersect(X2,X1) ),
    c_0_3 ).

fof(c_0_9,axiom,
    ! [X1,X2] : union(X1,X2) = union(X2,X1),
    c_0_4 ).

fof(c_0_10,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_5])])])])])]) ).

fof(c_0_11,plain,
    ! [X4,X5,X6,X7,X8,X9] :
      ( ( ~ member(X6,union(X4,X5))
        | member(X6,X4)
        | member(X6,X5) )
      & ( ~ member(X9,X7)
        | member(X9,union(X7,X8)) )
      & ( ~ member(X9,X8)
        | member(X9,union(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_6])])])])]) ).

fof(c_0_12,plain,
    ! [X4,X5,X7,X8,X9] :
      ( ( member(esk1_2(X4,X5),X4)
        | ~ intersect(X4,X5) )
      & ( member(esk1_2(X4,X5),X5)
        | ~ intersect(X4,X5) )
      & ( ~ member(X9,X7)
        | ~ member(X9,X8)
        | intersect(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_7])])])])])]) ).

fof(c_0_13,plain,
    ! [X3,X4] :
      ( ~ intersect(X3,X4)
      | intersect(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

fof(c_0_14,plain,
    ! [X3,X4] : union(X3,X4) = union(X4,X3),
    inference(variable_rename,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_19,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_22,plain,
    ( intersect(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_23,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_24,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_25,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_26,plain,
    union(X1,X2) = union(X2,X1),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_27,plain,
    ( X1 = X2
    | ~ member(esk2_2(X1,X2),X2)
    | ~ member(esk2_2(X1,X2),X1) ),
    c_0_15,
    [final] ).

cnf(c_0_28,plain,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    c_0_16,
    [final] ).

cnf(c_0_29,plain,
    ( X1 = X2
    | member(esk2_2(X1,X2),X2)
    | member(esk2_2(X1,X2),X1) ),
    c_0_17,
    [final] ).

cnf(c_0_30,plain,
    ( member(esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    c_0_18,
    [final] ).

cnf(c_0_31,plain,
    ( member(esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    c_0_19,
    [final] ).

cnf(c_0_32,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    c_0_20,
    [final] ).

cnf(c_0_33,plain,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    c_0_21,
    [final] ).

cnf(c_0_34,plain,
    ( intersect(X1,X2)
    | ~ member(X3,X2)
    | ~ member(X3,X1) ),
    c_0_22,
    [final] ).

cnf(c_0_35,plain,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    c_0_23,
    [final] ).

cnf(c_0_36,plain,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    c_0_24,
    [final] ).

cnf(c_0_37,plain,
    ( intersect(X1,X2)
    | ~ intersect(X2,X1) ),
    c_0_25,
    [final] ).

cnf(c_0_38,plain,
    union(X1,X2) = union(X2,X1),
    c_0_26,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_27_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_27]) ).

cnf(c_0_27_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_27]) ).

cnf(c_0_27_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_27]) ).

cnf(c_0_28_0,axiom,
    ( member(X1,X2)
    | member(X1,X3)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_28_1,axiom,
    ( member(X1,X3)
    | member(X1,X2)
    | ~ member(X1,union(X3,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_28_2,axiom,
    ( ~ member(X1,union(X3,X2))
    | member(X1,X3)
    | member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_28]) ).

cnf(c_0_29_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_29]) ).

cnf(c_0_29_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_29]) ).

cnf(c_0_29_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_29]) ).

cnf(c_0_30_0,axiom,
    ( member(sk1_esk1_2(X1,X2),X1)
    | ~ intersect(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_30_1,axiom,
    ( ~ intersect(X1,X2)
    | member(sk1_esk1_2(X1,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_30]) ).

cnf(c_0_31_0,axiom,
    ( member(sk1_esk1_2(X1,X2),X2)
    | ~ intersect(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_31_1,axiom,
    ( ~ intersect(X1,X2)
    | member(sk1_esk1_2(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_31]) ).

cnf(c_0_32_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_1,axiom,
    ( ~ member(X1,X2)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_33_0,axiom,
    ( member(X1,union(X2,X3))
    | ~ member(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_1,axiom,
    ( ~ member(X1,X3)
    | member(X1,union(X2,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

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

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

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

cnf(c_0_35_0,axiom,
    ( member(X3,X2)
    | X1 != X2
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_1,axiom,
    ( X1 != X2
    | member(X3,X2)
    | ~ member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_2,axiom,
    ( ~ member(X3,X1)
    | X1 != X2
    | member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_36_0,axiom,
    ( member(X3,X1)
    | X1 != X2
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_1,axiom,
    ( X1 != X2
    | member(X3,X1)
    | ~ member(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_2,axiom,
    ( ~ member(X3,X2)
    | X1 != X2
    | member(X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

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

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

cnf(c_0_38_0,axiom,
    union(X1,X2) = union(X2,X1),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2,X3] :
      ( intersect(X1,union(X2,X3))
    <=> ( intersect(X1,X2)
        | intersect(X1,X3) ) ),
    file('<stdin>',prove_intersect_with_union) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( intersect(X1,union(X2,X3))
      <=> ( intersect(X1,X2)
          | intersect(X1,X3) ) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( ( ~ intersect(esk1_0,esk2_0)
      | ~ intersect(esk1_0,union(esk2_0,esk3_0)) )
    & ( ~ intersect(esk1_0,esk3_0)
      | ~ intersect(esk1_0,union(esk2_0,esk3_0)) )
    & ( intersect(esk1_0,union(esk2_0,esk3_0))
      | intersect(esk1_0,esk2_0)
      | intersect(esk1_0,esk3_0) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

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

cnf(c_0_4_005,negated_conjecture,
    ( ~ intersect(esk1_0,union(esk2_0,esk3_0))
    | ~ intersect(esk1_0,esk3_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5_006,negated_conjecture,
    ( intersect(esk1_0,esk3_0)
    | intersect(esk1_0,esk2_0)
    | intersect(esk1_0,union(esk2_0,esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6_007,negated_conjecture,
    ( ~ intersect(esk1_0,union(esk2_0,esk3_0))
    | ~ intersect(esk1_0,esk2_0) ),
    c_0_3,
    [final] ).

cnf(c_0_7_008,negated_conjecture,
    ( ~ intersect(esk1_0,union(esk2_0,esk3_0))
    | ~ intersect(esk1_0,esk3_0) ),
    c_0_4,
    [final] ).

cnf(c_0_8_009,negated_conjecture,
    ( intersect(esk1_0,esk3_0)
    | intersect(esk1_0,esk2_0)
    | intersect(esk1_0,union(esk2_0,esk3_0)) ),
    c_0_5,
    [final] ).

% End CNF derivation

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

cnf(c_31,negated_conjecture,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_8) ).

cnf(c_43,negated_conjecture,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_31]) ).

cnf(c_53,negated_conjecture,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_43]) ).

cnf(c_54,negated_conjecture,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_53]) ).

cnf(c_59,negated_conjecture,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_54]) ).

cnf(c_154,plain,
    ( intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_59]) ).

cnf(c_18,plain,
    ( member(sk1_esk1_2(X0,X1),X0)
    | ~ intersect(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_30_1) ).

cnf(c_128,plain,
    ( member(sk1_esk1_2(X0,X1),X0)
    | ~ intersect(X0,X1) ),
    inference(copy,[status(esa)],[c_18]) ).

cnf(c_129,plain,
    ( ~ intersect(X0,X1)
    | member(sk1_esk1_2(X0,X1),X0) ),
    inference(rewriting,[status(thm)],[c_128]) ).

cnf(c_176,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_154,c_129]) ).

cnf(c_179,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_176]) ).

cnf(c_9,plain,
    ( intersect(X0,X1)
    | ~ member(X2,X1)
    | ~ member(X2,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_34_2) ).

cnf(c_110,plain,
    ( intersect(X0,X1)
    | ~ member(X2,X1)
    | ~ member(X2,X0) ),
    inference(copy,[status(esa)],[c_9]) ).

cnf(c_228,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),X0) ),
    inference(resolution,[status(thm)],[c_179,c_110]) ).

cnf(c_229,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),X0) ),
    inference(rewriting,[status(thm)],[c_228]) ).

cnf(c_25,plain,
    ( ~ member(X0,union(X1,X2))
    | member(X0,X1)
    | member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_28_0) ).

cnf(c_142,plain,
    ( ~ member(X0,union(X1,X2))
    | member(X0,X1)
    | member(X0,X2) ),
    inference(copy,[status(esa)],[c_25]) ).

cnf(c_336,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),union(X1,X0))
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),X1) ),
    inference(resolution,[status(thm)],[c_229,c_142]) ).

cnf(c_337,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),union(X1,X0))
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),X1) ),
    inference(rewriting,[status(thm)],[c_336]) ).

cnf(c_16,plain,
    ( member(sk1_esk1_2(X0,X1),X1)
    | ~ intersect(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_31_1) ).

cnf(c_124,plain,
    ( member(sk1_esk1_2(X0,X1),X1)
    | ~ intersect(X0,X1) ),
    inference(copy,[status(esa)],[c_16]) ).

cnf(c_125,plain,
    ( ~ intersect(X0,X1)
    | member(sk1_esk1_2(X0,X1),X1) ),
    inference(rewriting,[status(thm)],[c_124]) ).

cnf(c_177,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),union(sk2_esk2_0,sk2_esk3_0)) ),
    inference(resolution,[status(thm)],[c_154,c_125]) ).

cnf(c_178,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),union(sk2_esk2_0,sk2_esk3_0)) ),
    inference(rewriting,[status(thm)],[c_177]) ).

cnf(c_3596,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_337,c_178]) ).

cnf(c_3597,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0)
    | member(sk1_esk1_2(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0)),sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_3596]) ).

cnf(c_4507,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(resolution,[status(thm)],[c_3597,c_229]) ).

cnf(c_4508,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(rewriting,[status(thm)],[c_4507]) ).

cnf(c_8972,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),sk2_esk3_0) ),
    inference(resolution,[status(thm)],[c_4508,c_125]) ).

cnf(c_8973,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),sk2_esk3_0) ),
    inference(rewriting,[status(thm)],[c_8972]) ).

cnf(c_12,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_33_1) ).

cnf(c_116,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X2) ),
    inference(copy,[status(esa)],[c_12]) ).

cnf(c_8989,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),union(X0,sk2_esk3_0)) ),
    inference(resolution,[status(thm)],[c_8973,c_116]) ).

cnf(c_8996,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),union(X0,sk2_esk3_0)) ),
    inference(rewriting,[status(thm)],[c_8989]) ).

cnf(c_8971,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_4508,c_129]) ).

cnf(c_8974,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_8971]) ).

cnf(c_9015,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),X0) ),
    inference(resolution,[status(thm)],[c_8974,c_110]) ).

cnf(c_9016,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | intersect(sk2_esk1_0,X0)
    | ~ member(sk1_esk1_2(sk2_esk1_0,sk2_esk3_0),X0) ),
    inference(rewriting,[status(thm)],[c_9015]) ).

cnf(c_9123,plain,
    ( intersect(sk2_esk1_0,union(X0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_8996,c_9016]) ).

cnf(c_9126,plain,
    ( intersect(sk2_esk1_0,union(X0,sk2_esk3_0))
    | intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_9123]) ).

cnf(c_30,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_7) ).

cnf(c_41,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_30]) ).

cnf(c_52,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_41]) ).

cnf(c_55,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_52]) ).

cnf(c_58,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_55]) ).

cnf(c_152,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(copy,[status(esa)],[c_58]) ).

cnf(c_9147,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(resolution,[status(thm)],[c_9126,c_152]) ).

cnf(c_9150,plain,
    ( intersect(sk2_esk1_0,sk2_esk2_0)
    | ~ intersect(sk2_esk1_0,sk2_esk3_0) ),
    inference(rewriting,[status(thm)],[c_9147]) ).

cnf(c_9153,plain,
    intersect(sk2_esk1_0,sk2_esk2_0),
    inference(forward_subsumption_resolution,[status(thm)],[c_9150,c_4508]) ).

cnf(c_9154,plain,
    intersect(sk2_esk1_0,sk2_esk2_0),
    inference(rewriting,[status(thm)],[c_9153]) ).

cnf(c_9163,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),sk2_esk2_0),
    inference(resolution,[status(thm)],[c_9154,c_125]) ).

cnf(c_9164,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),sk2_esk2_0),
    inference(rewriting,[status(thm)],[c_9163]) ).

cnf(c_14,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X1) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_32_1) ).

cnf(c_120,plain,
    ( member(X0,union(X1,X2))
    | ~ member(X0,X1) ),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_9192,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),union(sk2_esk2_0,X0)),
    inference(resolution,[status(thm)],[c_9164,c_120]) ).

cnf(c_9193,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),union(sk2_esk2_0,X0)),
    inference(rewriting,[status(thm)],[c_9192]) ).

cnf(c_9334,plain,
    ( intersect(union(sk2_esk2_0,X0),X1)
    | ~ member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),X1) ),
    inference(resolution,[status(thm)],[c_9193,c_110]) ).

cnf(c_9335,plain,
    ( intersect(union(sk2_esk2_0,X0),X1)
    | ~ member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),X1) ),
    inference(rewriting,[status(thm)],[c_9334]) ).

cnf(c_9162,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0),
    inference(resolution,[status(thm)],[c_9154,c_129]) ).

cnf(c_9165,plain,
    member(sk1_esk1_2(sk2_esk1_0,sk2_esk2_0),sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_9162]) ).

cnf(c_9420,plain,
    intersect(union(sk2_esk2_0,X0),sk2_esk1_0),
    inference(resolution,[status(thm)],[c_9335,c_9165]) ).

cnf(c_9421,plain,
    intersect(union(sk2_esk2_0,X0),sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_9420]) ).

cnf(c_29,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_6) ).

cnf(c_39,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_29]) ).

cnf(c_51,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_39]) ).

cnf(c_56,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_51]) ).

cnf(c_57,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_56]) ).

cnf(c_150,negated_conjecture,
    ( ~ intersect(sk2_esk1_0,union(sk2_esk2_0,sk2_esk3_0))
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(copy,[status(esa)],[c_57]) ).

cnf(c_2,plain,
    ( ~ intersect(X0,X1)
    | intersect(X1,X0) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p',c_0_37_0) ).

cnf(c_96,plain,
    ( ~ intersect(X0,X1)
    | intersect(X1,X0) ),
    inference(copy,[status(esa)],[c_2]) ).

cnf(c_160,plain,
    ( ~ intersect(union(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(resolution,[status(thm)],[c_150,c_96]) ).

cnf(c_161,plain,
    ( ~ intersect(union(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0)
    | ~ intersect(sk2_esk1_0,sk2_esk2_0) ),
    inference(rewriting,[status(thm)],[c_160]) ).

cnf(c_9156,plain,
    ~ intersect(union(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
    inference(backward_subsumption_resolution,[status(thm)],[c_9154,c_161]) ).

cnf(c_9159,plain,
    ~ intersect(union(sk2_esk2_0,sk2_esk3_0),sk2_esk1_0),
    inference(rewriting,[status(thm)],[c_9156]) ).

cnf(c_9432,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_9421,c_9159]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET624+3 : TPTP v8.1.0. Released v2.2.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n025.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 21:22:47 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_a6c02a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_0f13e4 | grep -v "SZS"
% 0.20/0.42  
% 0.20/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------  iProver source info 
% 0.20/0.42  
% 0.20/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.42  % git: non_committed_changes: true
% 0.20/0.42  % git: last_make_outside_of_git: true
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --ground_splitting                    input
% 0.20/0.42  % --splitting_nvd                       16
% 0.20/0.42  % --non_eq_to_eq                        false
% 0.20/0.42  % --prep_gs_sim                         true
% 0.20/0.42  % --prep_unflatten                      false
% 0.20/0.42  % --prep_res_sim                        true
% 0.20/0.42  % --prep_upred                          true
% 0.20/0.42  % --res_sim_input                       true
% 0.20/0.42  % --clause_weak_htbl                    true
% 0.20/0.42  % --gc_record_bc_elim                   false
% 0.20/0.42  % --symbol_type_check                   false
% 0.20/0.42  % --clausify_out                        false
% 0.20/0.42  % --large_theory_mode                   false
% 0.20/0.42  % --prep_sem_filter                     none
% 0.20/0.42  % --prep_sem_filter_out                 false
% 0.20/0.42  % --preprocessed_out                    false
% 0.20/0.42  % --sub_typing                          false
% 0.20/0.42  % --brand_transform                     false
% 0.20/0.42  % --pure_diseq_elim                     true
% 0.20/0.42  % --min_unsat_core                      false
% 0.20/0.42  % --pred_elim                           true
% 0.20/0.42  % --add_important_lit                   false
% 0.20/0.42  % --soft_assumptions                    false
% 0.20/0.42  % --reset_solvers                       false
% 0.20/0.42  % --bc_imp_inh                          []
% 0.20/0.42  % --conj_cone_tolerance                 1.5
% 0.20/0.42  % --prolific_symb_bound                 500
% 0.20/0.42  % --lt_threshold                        2000
% 0.20/0.42  
% 0.20/0.42  % ------ SAT Options
% 0.20/0.42  
% 0.20/0.42  % --sat_mode                            false
% 0.20/0.42  % --sat_fm_restart_options              ""
% 0.20/0.42  % --sat_gr_def                          false
% 0.20/0.42  % --sat_epr_types                       true
% 0.20/0.42  % --sat_non_cyclic_types                false
% 0.20/0.42  % --sat_finite_models                   false
% 0.20/0.42  % --sat_fm_lemmas                       false
% 0.20/0.42  % --sat_fm_prep                         false
% 0.20/0.42  % --sat_fm_uc_incr                      true
% 0.20/0.42  % --sat_out_model                       small
% 0.20/0.42  % --sat_out_clauses                     false
% 0.20/0.42  
% 0.20/0.42  % ------ QBF Options
% 0.20/0.42  
% 0.20/0.42  % --qbf_mode                            false
% 0.20/0.42  % --qbf_elim_univ                       true
% 0.20/0.42  % --qbf_sk_in                           true
% 0.20/0.42  % --qbf_pred_elim                       true
% 0.20/0.42  % --qbf_split                           32
% 0.20/0.42  
% 0.20/0.42  % ------ BMC1 Options
% 0.20/0.42  
% 0.20/0.42  % --bmc1_incremental                    false
% 0.20/0.42  % --bmc1_axioms                         reachable_all
% 0.20/0.42  % --bmc1_min_bound                      0
% 0.20/0.42  % --bmc1_max_bound                      -1
% 0.20/0.42  % --bmc1_max_bound_default              -1
% 0.20/0.42  % --bmc1_symbol_reachability            true
% 0.20/0.42  % --bmc1_property_lemmas                false
% 0.20/0.42  % --bmc1_k_induction                    false
% 0.20/0.42  % --bmc1_non_equiv_states               false
% 0.20/0.42  % --bmc1_deadlock                       false
% 0.20/0.42  % --bmc1_ucm                            false
% 0.20/0.42  % --bmc1_add_unsat_core                 none
% 0.20/0.42  % --bmc1_unsat_core_children            false
% 0.20/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.42  % --bmc1_out_stat                       full
% 0.20/0.42  % --bmc1_ground_init                    false
% 0.20/0.42  % --bmc1_pre_inst_next_state            false
% 0.20/0.42  % --bmc1_pre_inst_state                 false
% 0.20/0.42  % --bmc1_pre_inst_reach_state           false
% 0.20/0.42  % --bmc1_out_unsat_core                 false
% 0.20/0.42  % --bmc1_aig_witness_out                false
% 0.20/0.42  % --bmc1_verbose                        false
% 0.20/0.42  % --bmc1_dump_clauses_tptp              false
% 0.20/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.42  % --bmc1_dump_file                      -
% 0.20/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.42  % --bmc1_ucm_extend_mode                1
% 0.20/0.42  % --bmc1_ucm_init_mode                  2
% 0.20/0.42  % --bmc1_ucm_cone_mode                  none
% 0.20/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.42  % --bmc1_ucm_relax_model                4
% 0.20/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.42  % --bmc1_ucm_layered_model              none
% 0.20/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.42  
% 0.20/0.42  % ------ AIG Options
% 0.20/0.42  
% 0.20/0.42  % --aig_mode                            false
% 0.20/0.42  
% 0.20/0.42  % ------ Instantiation Options
% 0.20/0.42  
% 0.20/0.42  % --instantiation_flag                  true
% 0.20/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.42  % --inst_solver_per_active              750
% 0.20/0.42  % --inst_solver_calls_frac              0.5
% 0.20/0.42  % --inst_passive_queue_type             priority_queues
% 0.20/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.42  % --inst_passive_queues_freq            [25;2]
% 0.20/0.42  % --inst_dismatching                    true
% 0.20/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.42  % --inst_prop_sim_given                 true
% 0.20/0.42  % --inst_prop_sim_new                   false
% 0.20/0.42  % --inst_orphan_elimination             true
% 0.20/0.42  % --inst_learning_loop_flag             true
% 0.20/0.42  % --inst_learning_start                 3000
% 0.20/0.42  % --inst_learning_factor                2
% 0.20/0.42  % --inst_start_prop_sim_after_learn     3
% 0.20/0.42  % --inst_sel_renew                      solver
% 0.20/0.42  % --inst_lit_activity_flag              true
% 0.20/0.42  % --inst_out_proof                      true
% 0.20/0.42  
% 0.20/0.42  % ------ Resolution Options
% 0.20/0.42  
% 0.20/0.42  % --resolution_flag                     true
% 0.20/0.42  % --res_lit_sel                         kbo_max
% 0.20/0.42  % --res_to_prop_solver                  none
% 0.20/0.42  % --res_prop_simpl_new                  false
% 0.20/0.42  % --res_prop_simpl_given                false
% 0.20/0.42  % --res_passive_queue_type              priority_queues
% 0.20/0.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.42  % --res_passive_queues_freq             [15;5]
% 0.20/0.42  % --res_forward_subs                    full
% 0.20/0.42  % --res_backward_subs                   full
% 0.20/0.42  % --res_forward_subs_resolution         true
% 0.20/0.42  % --res_backward_subs_resolution        true
% 0.20/0.42  % --res_orphan_elimination              false
% 0.20/0.42  % --res_time_limit                      1000.
% 0.20/0.42  % --res_out_proof                       true
% 0.20/0.42  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a6c02a.s
% 0.20/0.42  % --modulo                              true
% 0.20/0.42  
% 0.20/0.42  % ------ Combination Options
% 0.20/0.42  
% 0.20/0.42  % --comb_res_mult                       1000
% 0.20/0.42  % --comb_inst_mult                      300
% 0.20/0.42  % ------ 
% 0.20/0.42  
% 0.20/0.42  % ------ Parsing...% successful
% 0.20/0.42  
% 0.20/0.42  % ------ 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 % 
% 0.20/0.42  
% 0.20/0.42  % ------ Proving...
% 0.20/0.42  % ------ Problem Properties 
% 0.20/0.42  
% 0.20/0.42  % 
% 0.20/0.42  % EPR                                   false
% 0.20/0.42  % Horn                                  false
% 0.20/0.42  % Has equality                          true
% 0.20/0.42  
% 0.20/0.42  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  % % ------ Current options:
% 0.20/0.42  
% 0.20/0.42  % ------ Input Options
% 0.20/0.42  
% 0.20/0.42  % --out_options                         all
% 0.20/0.42  % --tptp_safe_out                       true
% 0.20/0.42  % --problem_path                        ""
% 0.20/0.42  % --include_path                        ""
% 0.20/0.42  % --clausifier                          .//eprover
% 0.20/0.42  % --clausifier_options                  --tstp-format  
% 0.20/0.42  % --stdin                               false
% 0.20/0.42  % --dbg_backtrace                       false
% 0.20/0.42  % --dbg_dump_prop_clauses               false
% 0.20/0.42  % --dbg_dump_prop_clauses_file          -
% 0.20/0.42  % --dbg_out_stat                        false
% 0.20/0.42  
% 0.20/0.42  % ------ General Options
% 0.20/0.42  
% 0.20/0.42  % --fof                                 false
% 0.20/0.42  % --time_out_real                       150.
% 0.20/0.42  % --time_out_prep_mult                  0.2
% 0.20/0.42  % --time_out_virtual                    -1.
% 0.20/0.42  % --schedule                            none
% 0.20/0.42  % --ground_splitting                    input
% 0.20/0.42  % --splitting_nvd                       16
% 0.20/0.42  % --non_eq_to_eq                        false
% 0.20/0.42  % --prep_gs_sim                         true
% 0.20/0.42  % --prep_unflatten                      false
% 0.20/0.42  % --prep_res_sim                        true
% 0.20/0.42  % --prep_upred                          true
% 0.20/0.42  % --res_sim_input                       true
% 0.20/0.42  % --clause_weak_htbl                    true
% 0.20/0.42  % --gc_record_bc_elim                   false
% 0.20/0.42  % --symbol_type_check                   false
% 0.20/0.42  % --clausify_out                        false
% 0.20/0.42  % --large_theory_mode                   false
% 0.20/0.42  % --prep_sem_filter                     none
% 0.20/0.42  % --prep_sem_filter_out                 false
% 0.20/0.42  % --preprocessed_out                    false
% 0.20/0.42  % --sub_typing                          false
% 0.20/0.42  % --brand_transform                     false
% 0.20/0.42  % --pure_diseq_elim                     true
% 0.20/0.42  % --min_unsat_core                      false
% 0.20/0.42  % --pred_elim                           true
% 0.20/0.42  % --add_important_lit                   false
% 0.20/0.42  % --soft_assumptions                    false
% 0.20/0.42  % --reset_solvers                       false
% 0.20/0.42  % --bc_imp_inh                          []
% 0.20/0.42  % --conj_cone_tolerance                 1.5
% 0.20/0.42  % --prolific_symb_bound                 500
% 0.20/0.42  % --lt_threshold                        2000
% 0.20/0.42  
% 0.20/0.42  % ------ SAT Options
% 0.20/0.42  
% 0.20/0.42  % --sat_mode                            false
% 0.20/0.42  % --sat_fm_restart_options              ""
% 0.20/0.42  % --sat_gr_def                          false
% 0.20/0.42  % --sat_epr_types                       true
% 0.20/0.42  % --sat_non_cyclic_types                false
% 0.20/0.42  % --sat_finite_models                   false
% 0.20/0.42  % --sat_fm_lemmas                       false
% 0.20/0.42  % --sat_fm_prep                         false
% 0.20/0.42  % --sat_fm_uc_incr                      true
% 0.20/0.42  % --sat_out_model                       small
% 0.20/0.42  % --sat_out_clauses                     false
% 0.20/0.42  
% 0.20/0.42  % ------ QBF Options
% 0.20/0.42  
% 0.20/0.42  % --qbf_mode                            false
% 0.20/0.42  % --qbf_elim_univ                       true
% 0.20/0.42  % --qbf_sk_in                           true
% 0.20/0.42  % --qbf_pred_elim                       true
% 0.20/0.42  % --qbf_split                           32
% 0.20/0.42  
% 0.20/0.42  % ------ BMC1 Options
% 0.20/0.42  
% 0.20/0.42  % --bmc1_incremental                    false
% 0.20/0.42  % --bmc1_axioms                         reachable_all
% 0.20/0.42  % --bmc1_min_bound                      0
% 0.20/0.42  % --bmc1_max_bound                      -1
% 0.20/0.42  % --bmc1_max_bound_default              -1
% 0.20/0.42  % --bmc1_symbol_reachability            true
% 0.20/0.42  % --bmc1_property_lemmas                false
% 0.20/0.42  % --bmc1_k_induction                    false
% 0.20/0.42  % --bmc1_non_equiv_states               false
% 0.20/0.42  % --bmc1_deadlock                       false
% 0.20/0.42  % --bmc1_ucm                            false
% 0.20/0.42  % --bmc1_add_unsat_core                 none
% 0.20/0.42  % --bmc1_unsat_core_children            false
% 0.20/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.42  % --bmc1_out_stat                       full
% 0.20/0.42  % --bmc1_ground_init                    false
% 0.20/0.42  % --bmc1_pre_inst_next_state            false
% 0.20/0.42  % --bmc1_pre_inst_state                 false
% 0.20/0.42  % --bmc1_pre_inst_reach_state           false
% 0.20/0.42  % --bmc1_out_unsat_core                 false
% 0.20/0.42  % --bmc1_aig_witness_out                false
% 0.20/0.42  % --bmc1_verbose                        false
% 0.20/0.42  % --bmc1_dump_clauses_tptp              false
% 0.20/0.42  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.42  % --bmc1_dump_file                      -
% 0.20/0.42  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.42  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.42  % --bmc1_ucm_extend_mode                1
% 0.20/0.42  % --bmc1_ucm_init_mode                  2
% 0.20/0.42  % --bmc1_ucm_cone_mode                  none
% 0.20/0.42  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.42  % --bmc1_ucm_relax_model                4
% 0.20/0.42  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.42  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.42  % --bmc1_ucm_layered_model              none
% 0.20/0.42  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.42  
% 0.20/0.42  % ------ AIG Options
% 0.20/0.42  
% 0.20/0.42  % --aig_mode                            false
% 0.20/0.42  
% 0.20/0.42  % ------ Instantiation Options
% 0.20/0.42  
% 0.20/0.42  % --instantiation_flag                  true
% 0.20/0.42  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.42  % --inst_solver_per_active              750
% 0.20/0.42  % --inst_solver_calls_frac              0.5
% 0.20/0.42  % --inst_passive_queue_type             priority_queues
% 0.20/0.42  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.42  % --inst_passive_queues_freq            [25;2]
% 0.20/0.42  % --inst_dismatching                    true
% 0.20/0.42  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.42  % --inst_prop_sim_given                 true
% 0.20/0.42  % --inst_prop_sim_new                   false
% 0.20/0.42  % --inst_orphan_elimination             true
% 0.20/0.42  % --inst_learning_loop_flag             true
% 0.20/0.42  % --inst_learning_start                 3000
% 0.20/0.42  % --inst_learning_factor                2
% 0.20/0.42  % --inst_start_prop_sim_after_learn     3
% 0.20/0.42  % --inst_sel_renew                      solver
% 0.20/0.42  % --inst_lit_activity_flag              true
% 0.20/0.42  % --inst_out_proof                      true
% 0.20/0.42  
% 0.20/0.42  % ------ Resolution Options
% 0.20/0.42  
% 0.20/0.42  % --resolution_flag                     true
% 0.20/0.42  % --res_lit_sel                         kbo_max
% 0.20/0.42  % --res_to_prop_solver                  none
% 0.20/0.42  % --res_prop_simpl_new                  false
% 0.20/0.42  % --res_prop_simpl_given                false
% 0.20/0.42  % --res_passive_queue_type              priority_queues
% 0.20/0.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.42  % --res_passive_queues_freq             [15;5]
% 0.20/0.42  % --res_forward_subs                    full
% 0.20/0.42  % --res_backward_subs                   full
% 0.20/0.42  % --res_forward_subs_resolution         true
% 0.20/0.42  % --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_a6c02a.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  
% 0.20/0.43  
% 0.20/0.43  % ------ Proving...
% 0.20/0.43  % warning:  shown sat in sat incomplete mode 
% 0.20/0.43  % 
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  cnf(c_14,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_8) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_26,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_36,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_37,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_42,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_37]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_86,negated_conjecture,
% 0.20/0.43      ( intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_42]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_1,plain,
% 0.20/0.43      ( intersect(X0,X1) | ~ intersect(X1,X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_46_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_60,plain,
% 0.20/0.43      ( intersect(X0,X1) | ~ intersect(X1,X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_1]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_108,plain,
% 0.20/0.43      ( intersect(union(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(resolution,[status(thm)],[c_86,c_60]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_109,plain,
% 0.20/0.43      ( intersect(union(sk3_esk2_0,sk3_esk3_0),sk3_esk1_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk2_0)
% 0.20/0.43      | intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_108]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_9,plain,
% 0.20/0.43      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_38_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_76,plain,
% 0.20/0.43      ( member(X0,X1) | member(X0,X2) | ~ member(X0,union(X1,X2)) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_77,plain,
% 0.20/0.43      ( ~ member(X0,union(X1,X2)) | member(X0,X1) | member(X0,X2) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_76]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_8,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_39_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_74,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,union(X1,X2)) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_75,plain,
% 0.20/0.43      ( member(X0,union(X1,X2)) | ~ member(X0,X1) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_74]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_7,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_40_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_72,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,union(X2,X1)) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_73,plain,
% 0.20/0.43      ( member(X0,union(X1,X2)) | ~ member(X0,X2) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_72]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_6,plain,
% 0.20/0.43      ( ~ member(X0,X1) | ~ member(X0,X2) | intersect(X1,X2) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_41_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_70,plain,
% 0.20/0.43      ( ~ member(X0,X1) | ~ member(X0,X2) | intersect(X1,X2) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_71,plain,
% 0.20/0.43      ( intersect(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_70]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_5,plain,
% 0.20/0.43      ( member(sk1_esk1_2(X0,X1),X1) | ~ intersect(X1,X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_42_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_68,plain,
% 0.20/0.43      ( member(sk1_esk1_2(X0,X1),X1) | ~ intersect(X1,X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_69,plain,
% 0.20/0.43      ( ~ intersect(X0,X1) | member(sk1_esk1_2(X1,X0),X0) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_68]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_4,plain,
% 0.20/0.43      ( member(sk1_esk1_2(X0,X1),X0) | ~ intersect(X1,X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_43_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_66,plain,
% 0.20/0.43      ( member(sk1_esk1_2(X0,X1),X0) | ~ intersect(X1,X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_67,plain,
% 0.20/0.43      ( ~ intersect(X0,X1) | member(sk1_esk1_2(X1,X0),X1) ),
% 0.20/0.43      inference(rewriting,[status(thm)],[c_66]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_13,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_7) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_24,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_35,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_24]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_38,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_41,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_84,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk3_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_41]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_12,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_6) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_22,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_34,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_39,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_40,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_39]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_82,negated_conjecture,
% 0.20/0.43      ( ~ intersect(sk3_esk1_0,union(sk3_esk2_0,sk3_esk3_0))
% 0.20/0.43      | ~ intersect(sk3_esk1_0,sk3_esk2_0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_11,plain,
% 0.20/0.43      ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.20/0.43      | ~ member(sk1_esk2_2(X0,X1),X0)
% 0.20/0.43      | X1 = X0 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_36_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_80,plain,
% 0.20/0.43      ( ~ member(sk1_esk2_2(X0,X1),X1)
% 0.20/0.43      | ~ member(sk1_esk2_2(X0,X1),X0)
% 0.20/0.43      | X1 = X0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_10,plain,
% 0.20/0.43      ( member(sk1_esk2_2(X0,X1),X1) | member(sk1_esk2_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_37_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_78,plain,
% 0.20/0.43      ( member(sk1_esk2_2(X0,X1),X1) | member(sk1_esk2_2(X0,X1),X0) | X1 = X0 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_3,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_44_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_64,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,X2) | X1 != X2 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_2,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_45_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_62,plain,
% 0.20/0.43      ( ~ member(X0,X1) | member(X0,X2) | X2 != X1 ),
% 0.20/0.43      inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_0,plain,
% 0.20/0.43      ( union(X0,X1) = union(X1,X0) ),
% 0.20/0.43      file('/export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p', c_0_47_0) ).
% 0.20/0.43  
% 0.20/0.43  cnf(c_58,plain,
% 0.20/0.43      ( union(X0,X1) = union(X1,X0) ),
% 0.20/0.43      inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  % ------                             Statistics
% 0.20/0.43  
% 0.20/0.43  % ------ General
% 0.20/0.43  
% 0.20/0.43  % num_of_input_clauses:                 15
% 0.20/0.43  % num_of_input_neg_conjectures:         3
% 0.20/0.43  % num_of_splits:                        0
% 0.20/0.43  % num_of_split_atoms:                   0
% 0.20/0.43  % num_of_sem_filtered_clauses:          0
% 0.20/0.43  % num_of_subtypes:                      0
% 0.20/0.43  % monotx_restored_types:                0
% 0.20/0.43  % sat_num_of_epr_types:                 0
% 0.20/0.43  % sat_num_of_non_cyclic_types:          0
% 0.20/0.43  % sat_guarded_non_collapsed_types:      0
% 0.20/0.43  % is_epr:                               0
% 0.20/0.43  % is_horn:                              0
% 0.20/0.43  % has_eq:                               1
% 0.20/0.43  % num_pure_diseq_elim:                  0
% 0.20/0.43  % simp_replaced_by:                     0
% 0.20/0.43  % res_preprocessed:                     6
% 0.20/0.43  % prep_upred:                           0
% 0.20/0.43  % prep_unflattend:                      0
% 0.20/0.43  % pred_elim_cands:                      0
% 0.20/0.43  % pred_elim:                            0
% 0.20/0.43  % pred_elim_cl:                         0
% 0.20/0.43  % pred_elim_cycles:                     0
% 0.20/0.43  % forced_gc_time:                       0
% 0.20/0.43  % gc_basic_clause_elim:                 0
% 0.20/0.43  % parsing_time:                         0.001
% 0.20/0.43  % sem_filter_time:                      0.
% 0.20/0.43  % pred_elim_time:                       0.
% 0.20/0.43  % out_proof_time:                       0.
% 0.20/0.43  % monotx_time:                          0.
% 0.20/0.43  % subtype_inf_time:                     0.
% 0.20/0.43  % unif_index_cands_time:                0.
% 0.20/0.43  % unif_index_add_time:                  0.
% 0.20/0.43  % total_time:                           0.017
% 0.20/0.43  % num_of_symbols:                       33
% 0.20/0.43  % num_of_terms:                         100
% 0.20/0.43  
% 0.20/0.43  % ------ Propositional Solver
% 0.20/0.43  
% 0.20/0.43  % prop_solver_calls:                    1
% 0.20/0.43  % prop_fast_solver_calls:               21
% 0.20/0.43  % prop_num_of_clauses:                  22
% 0.20/0.43  % prop_preprocess_simplified:           56
% 0.20/0.43  % prop_fo_subsumed:                     0
% 0.20/0.43  % prop_solver_time:                     0.
% 0.20/0.43  % prop_fast_solver_time:                0.
% 0.20/0.43  % prop_unsat_core_time:                 0.
% 0.20/0.43  
% 0.20/0.43  % ------ QBF 
% 0.20/0.43  
% 0.20/0.43  % qbf_q_res:                            0
% 0.20/0.43  % qbf_num_tautologies:                  0
% 0.20/0.43  % qbf_prep_cycles:                      0
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1
% 0.20/0.43  
% 0.20/0.43  % bmc1_current_bound:                   -1
% 0.20/0.43  % bmc1_last_solved_bound:               -1
% 0.20/0.43  % bmc1_unsat_core_size:                 -1
% 0.20/0.43  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.43  % bmc1_merge_next_fun:                  0
% 0.20/0.43  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.43  
% 0.20/0.43  % ------ Instantiation
% 0.20/0.43  
% 0.20/0.43  % inst_num_of_clauses:                  15
% 0.20/0.43  % inst_num_in_passive:                  0
% 0.20/0.43  % inst_num_in_active:                   0
% 0.20/0.43  % inst_num_in_unprocessed:              15
% 0.20/0.43  % inst_num_of_loops:                    0
% 0.20/0.43  % inst_num_of_learning_restarts:        0
% 0.20/0.43  % inst_num_moves_active_passive:        0
% 0.20/0.43  % inst_lit_activity:                    0
% 0.20/0.43  % inst_lit_activity_moves:              0
% 0.20/0.43  % inst_num_tautologies:                 0
% 0.20/0.43  % inst_num_prop_implied:                0
% 0.20/0.43  % inst_num_existing_simplified:         0
% 0.20/0.43  % inst_num_eq_res_simplified:           0
% 0.20/0.43  % inst_num_child_elim:                  0
% 0.20/0.43  % inst_num_of_dismatching_blockings:    0
% 0.20/0.43  % inst_num_of_non_proper_insts:         0
% 0.20/0.43  % inst_num_of_duplicates:               0
% 0.20/0.43  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.43  % inst_dismatching_checking_time:       0.
% 0.20/0.43  
% 0.20/0.43  % ------ Resolution
% 0.20/0.43  
% 0.20/0.43  % res_num_of_clauses:                   22
% 0.20/0.43  % res_num_in_passive:                   0
% 0.20/0.43  % res_num_in_active:                    16
% 0.20/0.43  % res_num_of_loops:                     11
% 0.20/0.43  % res_forward_subset_subsumed:          1
% 0.20/0.43  % res_backward_subset_subsumed:         0
% 0.20/0.43  % res_forward_subsumed:                 6
% 0.20/0.43  % res_backward_subsumed:                0
% 0.20/0.43  % res_forward_subsumption_resolution:   0
% 0.20/0.43  % res_backward_subsumption_resolution:  0
% 0.20/0.43  % res_clause_to_clause_subsumption:     26
% 0.20/0.43  % res_orphan_elimination:               0
% 0.20/0.43  % res_tautology_del:                    2
% 0.20/0.43  % res_num_eq_res_simplified:            0
% 0.20/0.43  % res_num_sel_changes:                  0
% 0.20/0.43  % res_moves_from_active_to_pass:        0
% 0.20/0.43  
% 0.20/0.43  % Status Unknown
% 0.20/0.46  % Orienting using strategy ClausalAll
% 0.20/0.46  % FOF problem with conjecture
% 0.20/0.46  % 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_a6c02a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a1ca2f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_21d106 | grep -v "SZS"
% 0.20/0.48  
% 0.20/0.48  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.48  
% 0.20/0.48  % 
% 0.20/0.48  % ------  iProver source info 
% 0.20/0.48  
% 0.20/0.48  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.48  % git: non_committed_changes: true
% 0.20/0.48  % git: last_make_outside_of_git: true
% 0.20/0.48  
% 0.20/0.48  % 
% 0.20/0.48  % ------ Input Options
% 0.20/0.48  
% 0.20/0.48  % --out_options                         all
% 0.20/0.48  % --tptp_safe_out                       true
% 0.20/0.48  % --problem_path                        ""
% 0.20/0.48  % --include_path                        ""
% 0.20/0.48  % --clausifier                          .//eprover
% 0.20/0.48  % --clausifier_options                  --tstp-format  
% 0.20/0.48  % --stdin                               false
% 0.20/0.48  % --dbg_backtrace                       false
% 0.20/0.48  % --dbg_dump_prop_clauses               false
% 0.20/0.48  % --dbg_dump_prop_clauses_file          -
% 0.20/0.48  % --dbg_out_stat                        false
% 0.20/0.48  
% 0.20/0.48  % ------ General Options
% 0.20/0.48  
% 0.20/0.48  % --fof                                 false
% 0.20/0.48  % --time_out_real                       150.
% 0.20/0.48  % --time_out_prep_mult                  0.2
% 0.20/0.48  % --time_out_virtual                    -1.
% 0.20/0.48  % --schedule                            none
% 0.20/0.48  % --ground_splitting                    input
% 0.20/0.48  % --splitting_nvd                       16
% 0.20/0.48  % --non_eq_to_eq                        false
% 0.20/0.48  % --prep_gs_sim                         true
% 0.20/0.48  % --prep_unflatten                      false
% 0.20/0.48  % --prep_res_sim                        true
% 0.20/0.48  % --prep_upred                          true
% 0.20/0.48  % --res_sim_input                       true
% 0.20/0.48  % --clause_weak_htbl                    true
% 0.20/0.48  % --gc_record_bc_elim                   false
% 0.20/0.48  % --symbol_type_check                   false
% 0.20/0.48  % --clausify_out                        false
% 0.20/0.48  % --large_theory_mode                   false
% 0.20/0.48  % --prep_sem_filter                     none
% 0.20/0.48  % --prep_sem_filter_out                 false
% 0.20/0.48  % --preprocessed_out                    false
% 0.20/0.48  % --sub_typing                          false
% 0.20/0.48  % --brand_transform                     false
% 0.20/0.48  % --pure_diseq_elim                     true
% 0.20/0.48  % --min_unsat_core                      false
% 0.20/0.48  % --pred_elim                           true
% 0.20/0.48  % --add_important_lit                   false
% 0.20/0.48  % --soft_assumptions                    false
% 0.20/0.48  % --reset_solvers                       false
% 0.20/0.48  % --bc_imp_inh                          []
% 0.20/0.48  % --conj_cone_tolerance                 1.5
% 0.20/0.48  % --prolific_symb_bound                 500
% 0.20/0.48  % --lt_threshold                        2000
% 0.20/0.48  
% 0.20/0.48  % ------ SAT Options
% 0.20/0.48  
% 0.20/0.48  % --sat_mode                            false
% 0.20/0.48  % --sat_fm_restart_options              ""
% 0.20/0.48  % --sat_gr_def                          false
% 0.20/0.48  % --sat_epr_types                       true
% 0.20/0.48  % --sat_non_cyclic_types                false
% 0.20/0.48  % --sat_finite_models                   false
% 0.20/0.48  % --sat_fm_lemmas                       false
% 0.20/0.48  % --sat_fm_prep                         false
% 0.20/0.48  % --sat_fm_uc_incr                      true
% 0.20/0.48  % --sat_out_model                       small
% 0.20/0.48  % --sat_out_clauses                     false
% 0.20/0.48  
% 0.20/0.48  % ------ QBF Options
% 0.20/0.48  
% 0.20/0.48  % --qbf_mode                            false
% 0.20/0.48  % --qbf_elim_univ                       true
% 0.20/0.48  % --qbf_sk_in                           true
% 0.20/0.48  % --qbf_pred_elim                       true
% 0.20/0.48  % --qbf_split                           32
% 0.20/0.48  
% 0.20/0.48  % ------ BMC1 Options
% 0.20/0.48  
% 0.20/0.48  % --bmc1_incremental                    false
% 0.20/0.48  % --bmc1_axioms                         reachable_all
% 0.20/0.48  % --bmc1_min_bound                      0
% 0.20/0.48  % --bmc1_max_bound                      -1
% 0.20/0.48  % --bmc1_max_bound_default              -1
% 0.20/0.48  % --bmc1_symbol_reachability            true
% 0.20/0.48  % --bmc1_property_lemmas                false
% 0.20/0.48  % --bmc1_k_induction                    false
% 0.20/0.48  % --bmc1_non_equiv_states               false
% 0.20/0.48  % --bmc1_deadlock                       false
% 0.20/0.48  % --bmc1_ucm                            false
% 0.20/0.48  % --bmc1_add_unsat_core                 none
% 0.20/0.48  % --bmc1_unsat_core_children            false
% 0.20/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.48  % --bmc1_out_stat                       full
% 0.20/0.48  % --bmc1_ground_init                    false
% 0.20/0.48  % --bmc1_pre_inst_next_state            false
% 0.20/0.48  % --bmc1_pre_inst_state                 false
% 0.20/0.48  % --bmc1_pre_inst_reach_state           false
% 0.20/0.48  % --bmc1_out_unsat_core                 false
% 0.20/0.48  % --bmc1_aig_witness_out                false
% 0.20/0.48  % --bmc1_verbose                        false
% 0.20/0.48  % --bmc1_dump_clauses_tptp              false
% 0.20/0.49  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.49  % --bmc1_dump_file                      -
% 0.20/0.49  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.49  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.49  % --bmc1_ucm_extend_mode                1
% 0.20/0.49  % --bmc1_ucm_init_mode                  2
% 0.20/0.49  % --bmc1_ucm_cone_mode                  none
% 0.20/0.49  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.49  % --bmc1_ucm_relax_model                4
% 0.20/0.49  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.49  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.49  % --bmc1_ucm_layered_model              none
% 0.20/0.49  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.49  
% 0.20/0.49  % ------ AIG Options
% 0.20/0.49  
% 0.20/0.49  % --aig_mode                            false
% 0.20/0.49  
% 0.20/0.49  % ------ Instantiation Options
% 0.20/0.49  
% 0.20/0.49  % --instantiation_flag                  true
% 0.20/0.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.49  % --inst_solver_per_active              750
% 0.20/0.49  % --inst_solver_calls_frac              0.5
% 0.20/0.49  % --inst_passive_queue_type             priority_queues
% 0.20/0.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.49  % --inst_passive_queues_freq            [25;2]
% 0.20/0.49  % --inst_dismatching                    true
% 0.20/0.49  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.49  % --inst_prop_sim_given                 true
% 0.20/0.49  % --inst_prop_sim_new                   false
% 0.20/0.49  % --inst_orphan_elimination             true
% 0.20/0.49  % --inst_learning_loop_flag             true
% 0.20/0.49  % --inst_learning_start                 3000
% 0.20/0.49  % --inst_learning_factor                2
% 0.20/0.49  % --inst_start_prop_sim_after_learn     3
% 0.20/0.49  % --inst_sel_renew                      solver
% 0.20/0.49  % --inst_lit_activity_flag              true
% 0.20/0.49  % --inst_out_proof                      true
% 0.20/0.49  
% 0.20/0.49  % ------ Resolution Options
% 0.20/0.49  
% 0.20/0.49  % --resolution_flag                     true
% 0.20/0.49  % --res_lit_sel                         kbo_max
% 0.20/0.49  % --res_to_prop_solver                  none
% 0.20/0.49  % --res_prop_simpl_new                  false
% 0.20/0.49  % --res_prop_simpl_given                false
% 0.20/0.49  % --res_passive_queue_type              priority_queues
% 0.20/0.49  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.49  % --res_passive_queues_freq             [15;5]
% 0.20/0.49  % --res_forward_subs                    full
% 0.20/0.49  % --res_backward_subs                   full
% 0.20/0.49  % --res_forward_subs_resolution         true
% 0.20/0.49  % --res_backward_subs_resolution        true
% 0.20/0.49  % --res_orphan_elimination              false
% 0.20/0.49  % --res_time_limit                      1000.
% 0.20/0.49  % --res_out_proof                       true
% 0.20/0.49  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a6c02a.s
% 0.20/0.49  % --modulo                              true
% 0.20/0.49  
% 0.20/0.49  % ------ Combination Options
% 0.20/0.49  
% 0.20/0.49  % --comb_res_mult                       1000
% 0.20/0.49  % --comb_inst_mult                      300
% 0.20/0.49  % ------ 
% 0.20/0.49  
% 0.20/0.49  % ------ Parsing...% successful
% 0.20/0.49  
% 0.20/0.49  % ------ 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 % 
% 0.20/0.49  
% 0.20/0.49  % ------ Proving...
% 0.20/0.49  % ------ Problem Properties 
% 0.20/0.49  
% 0.20/0.49  % 
% 0.20/0.49  % EPR                                   false
% 0.20/0.49  % Horn                                  false
% 0.20/0.49  % Has equality                          true
% 0.20/0.49  
% 0.20/0.49  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.49  
% 0.20/0.49  
% 0.20/0.49  % % ------ Current options:
% 0.20/0.49  
% 0.20/0.49  % ------ Input Options
% 0.20/0.49  
% 0.20/0.49  % --out_options                         all
% 0.20/0.49  % --tptp_safe_out                       true
% 0.20/0.49  % --problem_path                        ""
% 0.20/0.49  % --include_path                        ""
% 0.20/0.49  % --clausifier                          .//eprover
% 0.20/0.49  % --clausifier_options                  --tstp-format  
% 0.20/0.49  % --stdin                               false
% 0.20/0.49  % --dbg_backtrace                       false
% 0.20/0.49  % --dbg_dump_prop_clauses               false
% 0.20/0.49  % --dbg_dump_prop_clauses_file          -
% 0.20/0.49  % --dbg_out_stat                        false
% 0.20/0.49  
% 0.20/0.49  % ------ General Options
% 0.20/0.49  
% 0.20/0.49  % --fof                                 false
% 0.20/0.49  % --time_out_real                       150.
% 0.20/0.49  % --time_out_prep_mult                  0.2
% 0.20/0.49  % --time_out_virtual                    -1.
% 0.20/0.49  % --schedule                            none
% 0.20/0.49  % --ground_splitting                    input
% 0.20/0.49  % --splitting_nvd                       16
% 0.20/0.49  % --non_eq_to_eq                        false
% 0.20/0.49  % --prep_gs_sim                         true
% 0.20/0.49  % --prep_unflatten                      false
% 0.20/0.49  % --prep_res_sim                        true
% 0.20/0.49  % --prep_upred                          true
% 0.20/0.49  % --res_sim_input                       true
% 0.20/0.49  % --clause_weak_htbl                    true
% 0.20/0.49  % --gc_record_bc_elim                   false
% 0.20/0.49  % --symbol_type_check                   false
% 0.20/0.49  % --clausify_out                        false
% 0.20/0.49  % --large_theory_mode                   false
% 0.20/0.49  % --prep_sem_filter                     none
% 0.20/0.49  % --prep_sem_filter_out                 false
% 0.20/0.49  % --preprocessed_out                    false
% 0.20/0.49  % --sub_typing                          false
% 0.20/0.49  % --brand_transform                     false
% 0.20/0.49  % --pure_diseq_elim                     true
% 0.20/0.49  % --min_unsat_core                      false
% 0.20/0.49  % --pred_elim                           true
% 0.20/0.49  % --add_important_lit                   false
% 0.20/0.49  % --soft_assumptions                    false
% 0.20/0.49  % --reset_solvers                       false
% 0.20/0.49  % --bc_imp_inh                          []
% 0.20/0.49  % --conj_cone_tolerance                 1.5
% 0.20/0.49  % --prolific_symb_bound                 500
% 0.20/0.49  % --lt_threshold                        2000
% 0.20/0.49  
% 0.20/0.49  % ------ SAT Options
% 0.20/0.49  
% 0.20/0.49  % --sat_mode                            false
% 0.20/0.49  % --sat_fm_restart_options              ""
% 0.20/0.49  % --sat_gr_def                          false
% 0.20/0.49  % --sat_epr_types                       true
% 0.20/0.49  % --sat_non_cyclic_types                false
% 0.20/0.49  % --sat_finite_models                   false
% 0.20/0.49  % --sat_fm_lemmas                       false
% 0.20/0.49  % --sat_fm_prep                         false
% 0.20/0.49  % --sat_fm_uc_incr                      true
% 0.20/0.49  % --sat_out_model                       small
% 0.20/0.49  % --sat_out_clauses                     false
% 0.20/0.49  
% 0.20/0.49  % ------ QBF Options
% 0.20/0.49  
% 0.20/0.49  % --qbf_mode                            false
% 0.20/0.49  % --qbf_elim_univ                       true
% 0.20/0.49  % --qbf_sk_in                           true
% 0.20/0.49  % --qbf_pred_elim                       true
% 0.20/0.49  % --qbf_split                           32
% 0.20/0.49  
% 0.20/0.49  % ------ BMC1 Options
% 0.20/0.49  
% 0.20/0.49  % --bmc1_incremental                    false
% 0.20/0.49  % --bmc1_axioms                         reachable_all
% 0.20/0.49  % --bmc1_min_bound                      0
% 0.20/0.49  % --bmc1_max_bound                      -1
% 0.20/0.49  % --bmc1_max_bound_default              -1
% 0.20/0.49  % --bmc1_symbol_reachability            true
% 0.20/0.49  % --bmc1_property_lemmas                false
% 0.20/0.49  % --bmc1_k_induction                    false
% 0.20/0.49  % --bmc1_non_equiv_states               false
% 0.20/0.49  % --bmc1_deadlock                       false
% 0.20/0.49  % --bmc1_ucm                            false
% 0.20/0.49  % --bmc1_add_unsat_core                 none
% 0.20/0.49  % --bmc1_unsat_core_children            false
% 0.20/0.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.49  % --bmc1_out_stat                       full
% 0.20/0.49  % --bmc1_ground_init                    false
% 0.20/0.49  % --bmc1_pre_inst_next_state            false
% 0.20/0.49  % --bmc1_pre_inst_state                 false
% 0.20/0.49  % --bmc1_pre_inst_reach_state           false
% 0.20/0.49  % --bmc1_out_unsat_core                 false
% 0.20/0.49  % --bmc1_aig_witness_out                false
% 0.20/0.49  % --bmc1_verbose                        false
% 0.20/0.49  % --bmc1_dump_clauses_tptp              false
% 0.20/0.49  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.49  % --bmc1_dump_file                      -
% 0.20/0.49  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.49  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.49  % --bmc1_ucm_extend_mode                1
% 0.20/0.49  % --bmc1_ucm_init_mode                  2
% 0.20/0.49  % --bmc1_ucm_cone_mode                  none
% 0.20/0.49  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.49  % --bmc1_ucm_relax_model                4
% 0.20/0.49  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.49  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.49  % --bmc1_ucm_layered_model              none
% 0.20/0.49  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.49  
% 0.20/0.49  % ------ AIG Options
% 0.20/0.49  
% 0.20/0.49  % --aig_mode                            false
% 0.20/0.49  
% 0.20/0.49  % ------ Instantiation Options
% 0.20/0.49  
% 0.20/0.49  % --instantiation_flag                  true
% 0.20/0.49  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.49  % --inst_solver_per_active              750
% 0.20/0.49  % --inst_solver_calls_frac              0.5
% 0.20/0.49  % --inst_passive_queue_type             priority_queues
% 0.20/0.49  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.49  % --inst_passive_queues_freq            [25;2]
% 0.20/0.49  % --inst_dismatching                    true
% 0.20/0.49  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.49  % --inst_prop_sim_given                 true
% 0.46/0.65  % --inst_prop_sim_new                   false
% 0.46/0.65  % --inst_orphan_elimination             true
% 0.46/0.65  % --inst_learning_loop_flag             true
% 0.46/0.65  % --inst_learning_start                 3000
% 0.46/0.65  % --inst_learning_factor                2
% 0.46/0.65  % --inst_start_prop_sim_after_learn     3
% 0.46/0.65  % --inst_sel_renew                      solver
% 0.46/0.65  % --inst_lit_activity_flag              true
% 0.46/0.65  % --inst_out_proof                      true
% 0.46/0.65  
% 0.46/0.65  % ------ Resolution Options
% 0.46/0.65  
% 0.46/0.65  % --resolution_flag                     true
% 0.46/0.65  % --res_lit_sel                         kbo_max
% 0.46/0.65  % --res_to_prop_solver                  none
% 0.46/0.65  % --res_prop_simpl_new                  false
% 0.46/0.65  % --res_prop_simpl_given                false
% 0.46/0.65  % --res_passive_queue_type              priority_queues
% 0.46/0.65  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.46/0.65  % --res_passive_queues_freq             [15;5]
% 0.46/0.65  % --res_forward_subs                    full
% 0.46/0.65  % --res_backward_subs                   full
% 0.46/0.65  % --res_forward_subs_resolution         true
% 0.46/0.65  % --res_backward_subs_resolution        true
% 0.46/0.65  % --res_orphan_elimination              false
% 0.46/0.65  % --res_time_limit                      1000.
% 0.46/0.65  % --res_out_proof                       true
% 0.46/0.65  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_a6c02a.s
% 0.46/0.65  % --modulo                              true
% 0.46/0.65  
% 0.46/0.65  % ------ Combination Options
% 0.46/0.65  
% 0.46/0.65  % --comb_res_mult                       1000
% 0.46/0.65  % --comb_inst_mult                      300
% 0.46/0.65  % ------ 
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  % ------ Proving...
% 0.46/0.65  % 
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  %  Resolution empty clause
% 0.46/0.65  
% 0.46/0.65  % ------                             Statistics
% 0.46/0.65  
% 0.46/0.65  % ------ General
% 0.46/0.65  
% 0.46/0.65  % num_of_input_clauses:                 32
% 0.46/0.65  % num_of_input_neg_conjectures:         3
% 0.46/0.65  % num_of_splits:                        0
% 0.46/0.65  % num_of_split_atoms:                   0
% 0.46/0.65  % num_of_sem_filtered_clauses:          0
% 0.46/0.65  % num_of_subtypes:                      0
% 0.46/0.65  % monotx_restored_types:                0
% 0.46/0.65  % sat_num_of_epr_types:                 0
% 0.46/0.65  % sat_num_of_non_cyclic_types:          0
% 0.46/0.65  % sat_guarded_non_collapsed_types:      0
% 0.46/0.65  % is_epr:                               0
% 0.46/0.65  % is_horn:                              0
% 0.46/0.65  % has_eq:                               1
% 0.46/0.65  % num_pure_diseq_elim:                  0
% 0.46/0.65  % simp_replaced_by:                     0
% 0.46/0.65  % res_preprocessed:                     6
% 0.46/0.65  % prep_upred:                           0
% 0.46/0.65  % prep_unflattend:                      0
% 0.46/0.65  % pred_elim_cands:                      0
% 0.46/0.65  % pred_elim:                            0
% 0.46/0.65  % pred_elim_cl:                         0
% 0.46/0.65  % pred_elim_cycles:                     0
% 0.46/0.65  % forced_gc_time:                       0
% 0.46/0.65  % gc_basic_clause_elim:                 0
% 0.46/0.65  % parsing_time:                         0.
% 0.46/0.65  % sem_filter_time:                      0.
% 0.46/0.65  % pred_elim_time:                       0.
% 0.46/0.65  % out_proof_time:                       0.001
% 0.46/0.65  % monotx_time:                          0.
% 0.46/0.65  % subtype_inf_time:                     0.
% 0.46/0.65  % unif_index_cands_time:                0.
% 0.46/0.65  % unif_index_add_time:                  0.001
% 0.46/0.65  % total_time:                           0.182
% 0.46/0.65  % num_of_symbols:                       33
% 0.46/0.65  % num_of_terms:                         1886
% 0.46/0.65  
% 0.46/0.65  % ------ Propositional Solver
% 0.46/0.65  
% 0.46/0.65  % prop_solver_calls:                    1
% 0.46/0.65  % prop_fast_solver_calls:               21
% 0.46/0.65  % prop_num_of_clauses:                  28
% 0.46/0.65  % prop_preprocess_simplified:           118
% 0.46/0.65  % prop_fo_subsumed:                     0
% 0.46/0.65  % prop_solver_time:                     0.
% 0.46/0.65  % prop_fast_solver_time:                0.
% 0.46/0.65  % prop_unsat_core_time:                 0.
% 0.46/0.65  
% 0.46/0.65  % ------ QBF 
% 0.46/0.65  
% 0.46/0.65  % qbf_q_res:                            0
% 0.46/0.65  % qbf_num_tautologies:                  0
% 0.46/0.65  % qbf_prep_cycles:                      0
% 0.46/0.65  
% 0.46/0.65  % ------ BMC1
% 0.46/0.65  
% 0.46/0.65  % bmc1_current_bound:                   -1
% 0.46/0.65  % bmc1_last_solved_bound:               -1
% 0.46/0.65  % bmc1_unsat_core_size:                 -1
% 0.46/0.65  % bmc1_unsat_core_parents_size:         -1
% 0.46/0.65  % bmc1_merge_next_fun:                  0
% 0.46/0.65  % bmc1_unsat_core_clauses_time:         0.
% 0.46/0.65  
% 0.46/0.65  % ------ Instantiation
% 0.46/0.65  
% 0.46/0.65  % inst_num_of_clauses:                  32
% 0.46/0.65  % inst_num_in_passive:                  0
% 0.46/0.65  % inst_num_in_active:                   0
% 0.46/0.65  % inst_num_in_unprocessed:              32
% 0.46/0.65  % inst_num_of_loops:                    0
% 0.46/0.65  % inst_num_of_learning_restarts:        0
% 0.46/0.65  % inst_num_moves_active_passive:        0
% 0.46/0.65  % inst_lit_activity:                    0
% 0.46/0.65  % inst_lit_activity_moves:              0
% 0.46/0.65  % inst_num_tautologies:                 0
% 0.46/0.65  % inst_num_prop_implied:                0
% 0.46/0.65  % inst_num_existing_simplified:         0
% 0.46/0.65  % inst_num_eq_res_simplified:           0
% 0.46/0.65  % inst_num_child_elim:                  0
% 0.46/0.65  % inst_num_of_dismatching_blockings:    0
% 0.46/0.65  % inst_num_of_non_proper_insts:         0
% 0.46/0.65  % inst_num_of_duplicates:               0
% 0.46/0.65  % inst_inst_num_from_inst_to_res:       0
% 0.46/0.65  % inst_dismatching_checking_time:       0.
% 0.46/0.65  
% 0.46/0.65  % ------ Resolution
% 0.46/0.65  
% 0.46/0.65  % res_num_of_clauses:                   137
% 0.46/0.65  % res_num_in_passive:                   93
% 0.46/0.65  % res_num_in_active:                    45
% 0.46/0.65  % res_num_of_loops:                     657
% 0.46/0.65  % res_forward_subset_subsumed:          1312
% 0.46/0.65  % res_backward_subset_subsumed:         546
% 0.46/0.65  % res_forward_subsumed:                 86
% 0.46/0.65  % res_backward_subsumed:                443
% 0.46/0.65  % res_forward_subsumption_resolution:   4
% 0.46/0.65  % res_backward_subsumption_resolution:  3
% 0.46/0.65  % res_clause_to_clause_subsumption:     14951
% 0.46/0.65  % res_orphan_elimination:               0
% 0.46/0.65  % res_tautology_del:                    57
% 0.46/0.65  % res_num_eq_res_simplified:            0
% 0.46/0.65  % res_num_sel_changes:                  0
% 0.46/0.65  % res_moves_from_active_to_pass:        0
% 0.46/0.65  
% 0.46/0.65  % Status Unsatisfiable
% 0.46/0.65  % SZS status Theorem
% 0.46/0.65  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------