TSTP Solution File: SEU217+3 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 10:26:06 EDT 2022

% Result   : Theorem 150.31s 150.51s
% Output   : CNFRefutation 150.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  294 ( 114 unt;   0 def)
%            Number of atoms       :  642 ( 114 equ)
%            Maximal formula atoms :   19 (   2 avg)
%            Number of connectives :  654 ( 306   ~; 262   |;  56   &)
%                                         (   4 <=>;  26  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  16 con; 0-2 aty)
%            Number of variables   :  350 (  31 sgn 109   !;  18   ?)

% 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] :
      ( ( relation(X2)
        & function(X2) )
     => ( X2 = identity_relation(X1)
      <=> ( relation_dom(X2) = X1
          & ! [X3] :
              ( in(X3,X1)
             => apply(X2,X3) = X3 ) ) ) ),
    file('<stdin>',t34_funct_1) ).

fof(c_0_1,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    file('<stdin>',t4_subset) ).

fof(c_0_2,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    file('<stdin>',t5_subset) ).

fof(c_0_3,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    file('<stdin>',t3_subset) ).

fof(c_0_4,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    file('<stdin>',antisymmetry_r2_hidden) ).

fof(c_0_5,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    file('<stdin>',t2_subset) ).

fof(c_0_6,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    file('<stdin>',t1_subset) ).

fof(c_0_7,axiom,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    file('<stdin>',rc1_subset_1) ).

fof(c_0_8,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    file('<stdin>',t7_boole) ).

fof(c_0_9,axiom,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_dom(X1)) ),
    file('<stdin>',fc5_relat_1) ).

fof(c_0_10,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    file('<stdin>',rc2_subset_1) ).

fof(c_0_11,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    file('<stdin>',existence_m1_subset_1) ).

fof(c_0_12,axiom,
    ! [X1] :
      ( empty(X1)
     => ( empty(relation_dom(X1))
        & relation(relation_dom(X1)) ) ),
    file('<stdin>',fc7_relat_1) ).

fof(c_0_13,axiom,
    ! [X1] : ~ empty(powerset(X1)),
    file('<stdin>',fc1_subset_1) ).

fof(c_0_14,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    file('<stdin>',t8_boole) ).

fof(c_0_15,axiom,
    ! [X1,X2] : subset(X1,X1),
    file('<stdin>',reflexivity_r1_tarski) ).

fof(c_0_16,axiom,
    ! [X1] :
      ( empty(X1)
     => relation(X1) ),
    file('<stdin>',cc1_relat_1) ).

fof(c_0_17,axiom,
    ! [X1] :
      ( empty(X1)
     => function(X1) ),
    file('<stdin>',cc1_funct_1) ).

fof(c_0_18,axiom,
    ! [X1] :
      ( relation(identity_relation(X1))
      & function(identity_relation(X1)) ),
    file('<stdin>',fc2_funct_1) ).

fof(c_0_19,axiom,
    ! [X1] : relation(identity_relation(X1)),
    file('<stdin>',dt_k6_relat_1) ).

fof(c_0_20,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    file('<stdin>',t6_boole) ).

fof(c_0_21,axiom,
    ? [X1] : ~ empty(X1),
    file('<stdin>',rc2_xboole_0) ).

fof(c_0_22,axiom,
    ? [X1] :
      ( ~ empty(X1)
      & relation(X1) ),
    file('<stdin>',rc2_relat_1) ).

fof(c_0_23,axiom,
    ? [X1] : empty(X1),
    file('<stdin>',rc1_xboole_0) ).

fof(c_0_24,axiom,
    ? [X1] :
      ( relation(X1)
      & relation_empty_yielding(X1) ),
    file('<stdin>',rc3_relat_1) ).

fof(c_0_25,axiom,
    ? [X1] :
      ( empty(X1)
      & relation(X1) ),
    file('<stdin>',rc1_relat_1) ).

fof(c_0_26,axiom,
    ? [X1] :
      ( relation(X1)
      & function(X1) ),
    file('<stdin>',rc1_funct_1) ).

fof(c_0_27,axiom,
    empty(empty_set),
    file('<stdin>',fc1_xboole_0) ).

fof(c_0_28,axiom,
    ( empty(empty_set)
    & relation(empty_set)
    & relation_empty_yielding(empty_set) ),
    file('<stdin>',fc12_relat_1) ).

fof(c_0_29,axiom,
    ( empty(empty_set)
    & relation(empty_set) ),
    file('<stdin>',fc4_relat_1) ).

fof(c_0_30,axiom,
    ! [X1,X2] :
      ( ( relation(X2)
        & function(X2) )
     => ( X2 = identity_relation(X1)
      <=> ( relation_dom(X2) = X1
          & ! [X3] :
              ( in(X3,X1)
             => apply(X2,X3) = X3 ) ) ) ),
    c_0_0 ).

fof(c_0_31,axiom,
    ! [X1,X2,X3] :
      ( ( in(X1,X2)
        & element(X2,powerset(X3)) )
     => element(X1,X3) ),
    c_0_1 ).

fof(c_0_32,axiom,
    ! [X1,X2,X3] :
      ~ ( in(X1,X2)
        & element(X2,powerset(X3))
        & empty(X3) ),
    c_0_2 ).

fof(c_0_33,axiom,
    ! [X1,X2] :
      ( element(X1,powerset(X2))
    <=> subset(X1,X2) ),
    c_0_3 ).

fof(c_0_34,plain,
    ! [X1,X2] :
      ( in(X1,X2)
     => ~ in(X2,X1) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_35,axiom,
    ! [X1,X2] :
      ( element(X1,X2)
     => ( empty(X2)
        | in(X1,X2) ) ),
    c_0_5 ).

fof(c_0_36,axiom,
    ! [X1,X2] :
      ( in(X1,X2)
     => element(X1,X2) ),
    c_0_6 ).

fof(c_0_37,plain,
    ! [X1] :
      ( ~ empty(X1)
     => ? [X2] :
          ( element(X2,powerset(X1))
          & ~ empty(X2) ) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_38,axiom,
    ! [X1,X2] :
      ~ ( in(X1,X2)
        & empty(X2) ),
    c_0_8 ).

fof(c_0_39,plain,
    ! [X1] :
      ( ( ~ empty(X1)
        & relation(X1) )
     => ~ empty(relation_dom(X1)) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_40,axiom,
    ! [X1] :
    ? [X2] :
      ( element(X2,powerset(X1))
      & empty(X2) ),
    c_0_10 ).

fof(c_0_41,axiom,
    ! [X1] :
    ? [X2] : element(X2,X1),
    c_0_11 ).

fof(c_0_42,axiom,
    ! [X1] :
      ( empty(X1)
     => ( empty(relation_dom(X1))
        & relation(relation_dom(X1)) ) ),
    c_0_12 ).

fof(c_0_43,plain,
    ! [X1] : ~ empty(powerset(X1)),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_44,axiom,
    ! [X1,X2] :
      ~ ( empty(X1)
        & X1 != X2
        & empty(X2) ),
    c_0_14 ).

fof(c_0_45,axiom,
    ! [X1,X2] : subset(X1,X1),
    c_0_15 ).

fof(c_0_46,axiom,
    ! [X1] :
      ( empty(X1)
     => relation(X1) ),
    c_0_16 ).

fof(c_0_47,axiom,
    ! [X1] :
      ( empty(X1)
     => function(X1) ),
    c_0_17 ).

fof(c_0_48,axiom,
    ! [X1] :
      ( relation(identity_relation(X1))
      & function(identity_relation(X1)) ),
    c_0_18 ).

fof(c_0_49,axiom,
    ! [X1] : relation(identity_relation(X1)),
    c_0_19 ).

fof(c_0_50,axiom,
    ! [X1] :
      ( empty(X1)
     => X1 = empty_set ),
    c_0_20 ).

fof(c_0_51,plain,
    ? [X1] : ~ empty(X1),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_52,plain,
    ? [X1] :
      ( ~ empty(X1)
      & relation(X1) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_53,axiom,
    ? [X1] : empty(X1),
    c_0_23 ).

fof(c_0_54,axiom,
    ? [X1] :
      ( relation(X1)
      & relation_empty_yielding(X1) ),
    c_0_24 ).

fof(c_0_55,axiom,
    ? [X1] :
      ( empty(X1)
      & relation(X1) ),
    c_0_25 ).

fof(c_0_56,axiom,
    ? [X1] :
      ( relation(X1)
      & function(X1) ),
    c_0_26 ).

fof(c_0_57,axiom,
    empty(empty_set),
    c_0_27 ).

fof(c_0_58,axiom,
    ( empty(empty_set)
    & relation(empty_set)
    & relation_empty_yielding(empty_set) ),
    c_0_28 ).

fof(c_0_59,axiom,
    ( empty(empty_set)
    & relation(empty_set) ),
    c_0_29 ).

fof(c_0_60,plain,
    ! [X4,X5,X6] :
      ( ( relation_dom(X5) = X4
        | X5 != identity_relation(X4)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( ~ in(X6,X4)
        | apply(X5,X6) = X6
        | X5 != identity_relation(X4)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( in(esk10_2(X4,X5),X4)
        | relation_dom(X5) != X4
        | X5 = identity_relation(X4)
        | ~ relation(X5)
        | ~ function(X5) )
      & ( apply(X5,esk10_2(X4,X5)) != esk10_2(X4,X5)
        | relation_dom(X5) != X4
        | X5 = identity_relation(X4)
        | ~ relation(X5)
        | ~ function(X5) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])])]) ).

fof(c_0_61,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | element(X4,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])]) ).

fof(c_0_62,plain,
    ! [X4,X5,X6] :
      ( ~ in(X4,X5)
      | ~ element(X5,powerset(X6))
      | ~ empty(X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).

fof(c_0_63,plain,
    ! [X3,X4,X5,X6] :
      ( ( ~ element(X3,powerset(X4))
        | subset(X3,X4) )
      & ( ~ subset(X5,X6)
        | element(X5,powerset(X6)) ) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_33])])])]) ).

fof(c_0_64,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ in(X4,X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])]) ).

fof(c_0_65,plain,
    ! [X3,X4] :
      ( ~ element(X3,X4)
      | empty(X4)
      | in(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])]) ).

fof(c_0_66,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | element(X3,X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_36])]) ).

fof(c_0_67,plain,
    ! [X3] :
      ( ( element(esk3_1(X3),powerset(X3))
        | empty(X3) )
      & ( ~ empty(esk3_1(X3))
        | empty(X3) ) ),
    inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).

fof(c_0_68,plain,
    ! [X3,X4] :
      ( ~ in(X3,X4)
      | ~ empty(X4) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).

fof(c_0_69,plain,
    ! [X2] :
      ( empty(X2)
      | ~ relation(X2)
      | ~ empty(relation_dom(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_39])]) ).

fof(c_0_70,plain,
    ! [X3] :
      ( element(esk4_1(X3),powerset(X3))
      & empty(esk4_1(X3)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_40])]) ).

fof(c_0_71,plain,
    ! [X3] : element(esk1_1(X3),X3),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_41])]) ).

fof(c_0_72,plain,
    ! [X2] :
      ( ( empty(relation_dom(X2))
        | ~ empty(X2) )
      & ( relation(relation_dom(X2))
        | ~ empty(X2) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_42])])]) ).

fof(c_0_73,plain,
    ! [X2] : ~ empty(powerset(X2)),
    inference(variable_rename,[status(thm)],[c_0_43]) ).

fof(c_0_74,plain,
    ! [X3,X4] :
      ( ~ empty(X3)
      | X3 = X4
      | ~ empty(X4) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])])]) ).

fof(c_0_75,plain,
    ! [X3,X4] : subset(X3,X3),
    inference(variable_rename,[status(thm)],[c_0_45]) ).

fof(c_0_76,plain,
    ! [X2] :
      ( ~ empty(X2)
      | relation(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_46])]) ).

fof(c_0_77,plain,
    ! [X2] :
      ( ~ empty(X2)
      | function(X2) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_47])]) ).

fof(c_0_78,plain,
    ! [X2,X3] :
      ( relation(identity_relation(X2))
      & function(identity_relation(X3)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_48])])]) ).

fof(c_0_79,plain,
    ! [X2] : relation(identity_relation(X2)),
    inference(variable_rename,[status(thm)],[c_0_49]) ).

fof(c_0_80,plain,
    ! [X2] :
      ( ~ empty(X2)
      | X2 = empty_set ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])]) ).

fof(c_0_81,plain,
    ~ empty(esk9_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_51])]) ).

fof(c_0_82,plain,
    ( ~ empty(esk6_0)
    & relation(esk6_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_52])]) ).

fof(c_0_83,plain,
    empty(esk8_0),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_53])]) ).

fof(c_0_84,plain,
    ( relation(esk7_0)
    & relation_empty_yielding(esk7_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_54])]) ).

fof(c_0_85,plain,
    ( empty(esk5_0)
    & relation(esk5_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_55])]) ).

fof(c_0_86,plain,
    ( relation(esk2_0)
    & function(esk2_0) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_56])]) ).

fof(c_0_87,axiom,
    empty(empty_set),
    c_0_57 ).

fof(c_0_88,axiom,
    ( empty(empty_set)
    & relation(empty_set)
    & relation_empty_yielding(empty_set) ),
    c_0_58 ).

fof(c_0_89,axiom,
    ( empty(empty_set)
    & relation(empty_set) ),
    c_0_59 ).

cnf(c_0_90,plain,
    ( X1 = identity_relation(X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2
    | apply(X1,esk10_2(X2,X1)) != esk10_2(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_91,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_92,plain,
    ( X1 = identity_relation(X2)
    | in(esk10_2(X2,X1),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_93,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_62]) ).

cnf(c_0_94,plain,
    ( apply(X1,X3) = X3
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2)
    | ~ in(X3,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_95,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_96,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_97,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_63]) ).

cnf(c_0_98,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_65]) ).

cnf(c_0_99,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_66]) ).

cnf(c_0_100,plain,
    ( empty(X1)
    | element(esk3_1(X1),powerset(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_101,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_68]) ).

cnf(c_0_102,plain,
    ( empty(X1)
    | ~ empty(relation_dom(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_69]) ).

cnf(c_0_103,plain,
    ( relation_dom(X1) = X2
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_60]) ).

cnf(c_0_104,plain,
    element(esk4_1(X1),powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_105,plain,
    ( empty(X1)
    | ~ empty(esk3_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_67]) ).

cnf(c_0_106,plain,
    element(esk1_1(X1),X1),
    inference(split_conjunct,[status(thm)],[c_0_71]) ).

cnf(c_0_107,plain,
    ( empty(relation_dom(X1))
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_108,plain,
    ( relation(relation_dom(X1))
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_72]) ).

cnf(c_0_109,plain,
    ~ empty(powerset(X1)),
    inference(split_conjunct,[status(thm)],[c_0_73]) ).

cnf(c_0_110,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_111,plain,
    subset(X1,X1),
    inference(split_conjunct,[status(thm)],[c_0_75]) ).

cnf(c_0_112,plain,
    ( relation(X1)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_76]) ).

cnf(c_0_113,plain,
    ( function(X1)
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_77]) ).

cnf(c_0_114,plain,
    empty(esk4_1(X1)),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_115,plain,
    relation(identity_relation(X1)),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_116,plain,
    function(identity_relation(X1)),
    inference(split_conjunct,[status(thm)],[c_0_78]) ).

cnf(c_0_117,plain,
    relation(identity_relation(X1)),
    inference(split_conjunct,[status(thm)],[c_0_79]) ).

cnf(c_0_118,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_80]) ).

cnf(c_0_119,plain,
    ~ empty(esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_81]) ).

cnf(c_0_120,plain,
    ~ empty(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_121,plain,
    empty(esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_83]) ).

cnf(c_0_122,plain,
    relation(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_123,plain,
    relation_empty_yielding(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_84]) ).

cnf(c_0_124,plain,
    relation(esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_82]) ).

cnf(c_0_125,plain,
    empty(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_126,plain,
    relation(esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_85]) ).

cnf(c_0_127,plain,
    relation(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_128,plain,
    function(esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_86]) ).

cnf(c_0_129,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_87]) ).

cnf(c_0_130,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_131,plain,
    relation(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_132,plain,
    relation_empty_yielding(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_88]) ).

cnf(c_0_133,plain,
    empty(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_134,plain,
    relation(empty_set),
    inference(split_conjunct,[status(thm)],[c_0_89]) ).

cnf(c_0_135,plain,
    ( X1 = identity_relation(X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2
    | apply(X1,esk10_2(X2,X1)) != esk10_2(X2,X1) ),
    c_0_90,
    [final] ).

cnf(c_0_136,plain,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    c_0_91,
    [final] ).

cnf(c_0_137,plain,
    ( X1 = identity_relation(X2)
    | in(esk10_2(X2,X1),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2 ),
    c_0_92,
    [final] ).

cnf(c_0_138,plain,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    c_0_93,
    [final] ).

cnf(c_0_139,plain,
    ( apply(X1,X3) = X3
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2)
    | ~ in(X3,X2) ),
    c_0_94,
    [final] ).

cnf(c_0_140,plain,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    c_0_95,
    [final] ).

cnf(c_0_141,plain,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    c_0_96,
    [final] ).

cnf(c_0_142,plain,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    c_0_97,
    [final] ).

cnf(c_0_143,plain,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    c_0_98,
    [final] ).

cnf(c_0_144,plain,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    c_0_99,
    [final] ).

cnf(c_0_145,plain,
    ( empty(X1)
    | element(esk3_1(X1),powerset(X1)) ),
    c_0_100,
    [final] ).

cnf(c_0_146,plain,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    c_0_101,
    [final] ).

cnf(c_0_147,plain,
    ( empty(X1)
    | ~ empty(relation_dom(X1))
    | ~ relation(X1) ),
    c_0_102,
    [final] ).

cnf(c_0_148,plain,
    ( relation_dom(X1) = X2
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2) ),
    c_0_103,
    [final] ).

cnf(c_0_149,plain,
    element(esk4_1(X1),powerset(X1)),
    c_0_104,
    [final] ).

cnf(c_0_150,plain,
    ( empty(X1)
    | ~ empty(esk3_1(X1)) ),
    c_0_105,
    [final] ).

cnf(c_0_151,plain,
    element(esk1_1(X1),X1),
    c_0_106,
    [final] ).

cnf(c_0_152,plain,
    ( empty(relation_dom(X1))
    | ~ empty(X1) ),
    c_0_107,
    [final] ).

cnf(c_0_153,plain,
    ( relation(relation_dom(X1))
    | ~ empty(X1) ),
    c_0_108,
    [final] ).

cnf(c_0_154,plain,
    ~ empty(powerset(X1)),
    c_0_109,
    [final] ).

cnf(c_0_155,plain,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    c_0_110,
    [final] ).

cnf(c_0_156,plain,
    subset(X1,X1),
    c_0_111,
    [final] ).

cnf(c_0_157,plain,
    ( relation(X1)
    | ~ empty(X1) ),
    c_0_112,
    [final] ).

cnf(c_0_158,plain,
    ( function(X1)
    | ~ empty(X1) ),
    c_0_113,
    [final] ).

cnf(c_0_159,plain,
    empty(esk4_1(X1)),
    c_0_114,
    [final] ).

cnf(c_0_160,plain,
    relation(identity_relation(X1)),
    c_0_115,
    [final] ).

cnf(c_0_161,plain,
    function(identity_relation(X1)),
    c_0_116,
    [final] ).

cnf(c_0_162,plain,
    relation(identity_relation(X1)),
    c_0_117,
    [final] ).

cnf(c_0_163,plain,
    ( X1 = empty_set
    | ~ empty(X1) ),
    c_0_118,
    [final] ).

cnf(c_0_164,plain,
    ~ empty(esk9_0),
    c_0_119,
    [final] ).

cnf(c_0_165,plain,
    ~ empty(esk6_0),
    c_0_120,
    [final] ).

cnf(c_0_166,plain,
    empty(esk8_0),
    c_0_121,
    [final] ).

cnf(c_0_167,plain,
    relation(esk7_0),
    c_0_122,
    [final] ).

cnf(c_0_168,plain,
    relation_empty_yielding(esk7_0),
    c_0_123,
    [final] ).

cnf(c_0_169,plain,
    relation(esk6_0),
    c_0_124,
    [final] ).

cnf(c_0_170,plain,
    empty(esk5_0),
    c_0_125,
    [final] ).

cnf(c_0_171,plain,
    relation(esk5_0),
    c_0_126,
    [final] ).

cnf(c_0_172,plain,
    relation(esk2_0),
    c_0_127,
    [final] ).

cnf(c_0_173,plain,
    function(esk2_0),
    c_0_128,
    [final] ).

cnf(c_0_174,plain,
    empty(empty_set),
    c_0_129,
    [final] ).

cnf(c_0_175,plain,
    empty(empty_set),
    c_0_130,
    [final] ).

cnf(c_0_176,plain,
    relation(empty_set),
    c_0_131,
    [final] ).

cnf(c_0_177,plain,
    relation_empty_yielding(empty_set),
    c_0_132,
    [final] ).

cnf(c_0_178,plain,
    empty(empty_set),
    c_0_133,
    [final] ).

cnf(c_0_179,plain,
    relation(empty_set),
    c_0_134,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_135_0,axiom,
    ( X1 = identity_relation(X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2
    | apply(X1,sk1_esk10_2(X2,X1)) != sk1_esk10_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_1,axiom,
    ( ~ function(X1)
    | X1 = identity_relation(X2)
    | ~ relation(X1)
    | relation_dom(X1) != X2
    | apply(X1,sk1_esk10_2(X2,X1)) != sk1_esk10_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_2,axiom,
    ( ~ relation(X1)
    | ~ function(X1)
    | X1 = identity_relation(X2)
    | relation_dom(X1) != X2
    | apply(X1,sk1_esk10_2(X2,X1)) != sk1_esk10_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_3,axiom,
    ( relation_dom(X1) != X2
    | ~ relation(X1)
    | ~ function(X1)
    | X1 = identity_relation(X2)
    | apply(X1,sk1_esk10_2(X2,X1)) != sk1_esk10_2(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_135_4,axiom,
    ( apply(X1,sk1_esk10_2(X2,X1)) != sk1_esk10_2(X2,X1)
    | relation_dom(X1) != X2
    | ~ relation(X1)
    | ~ function(X1)
    | X1 = identity_relation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_135]) ).

cnf(c_0_136_0,axiom,
    ( element(X1,X2)
    | ~ element(X3,powerset(X2))
    | ~ in(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_136]) ).

cnf(c_0_136_1,axiom,
    ( ~ element(X3,powerset(X2))
    | element(X1,X2)
    | ~ in(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_136]) ).

cnf(c_0_136_2,axiom,
    ( ~ in(X1,X3)
    | ~ element(X3,powerset(X2))
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_136]) ).

cnf(c_0_137_0,axiom,
    ( X1 = identity_relation(X2)
    | in(sk1_esk10_2(X2,X1),X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_137_1,axiom,
    ( in(sk1_esk10_2(X2,X1),X2)
    | X1 = identity_relation(X2)
    | ~ function(X1)
    | ~ relation(X1)
    | relation_dom(X1) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_137_2,axiom,
    ( ~ function(X1)
    | in(sk1_esk10_2(X2,X1),X2)
    | X1 = identity_relation(X2)
    | ~ relation(X1)
    | relation_dom(X1) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_137_3,axiom,
    ( ~ relation(X1)
    | ~ function(X1)
    | in(sk1_esk10_2(X2,X1),X2)
    | X1 = identity_relation(X2)
    | relation_dom(X1) != X2 ),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_137_4,axiom,
    ( relation_dom(X1) != X2
    | ~ relation(X1)
    | ~ function(X1)
    | in(sk1_esk10_2(X2,X1),X2)
    | X1 = identity_relation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_137]) ).

cnf(c_0_138_0,axiom,
    ( ~ empty(X1)
    | ~ element(X2,powerset(X1))
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_138]) ).

cnf(c_0_138_1,axiom,
    ( ~ element(X2,powerset(X1))
    | ~ empty(X1)
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_138]) ).

cnf(c_0_138_2,axiom,
    ( ~ in(X3,X2)
    | ~ element(X2,powerset(X1))
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_138]) ).

cnf(c_0_139_0,axiom,
    ( apply(X1,X3) = X3
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2)
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_139_1,axiom,
    ( ~ function(X1)
    | apply(X1,X3) = X3
    | ~ relation(X1)
    | X1 != identity_relation(X2)
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_139_2,axiom,
    ( ~ relation(X1)
    | ~ function(X1)
    | apply(X1,X3) = X3
    | X1 != identity_relation(X2)
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_139_3,axiom,
    ( X1 != identity_relation(X2)
    | ~ relation(X1)
    | ~ function(X1)
    | apply(X1,X3) = X3
    | ~ in(X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_139_4,axiom,
    ( ~ in(X3,X2)
    | X1 != identity_relation(X2)
    | ~ relation(X1)
    | ~ function(X1)
    | apply(X1,X3) = X3 ),
    inference(literals_permutation,[status(thm)],[c_0_139]) ).

cnf(c_0_140_0,axiom,
    ( subset(X1,X2)
    | ~ element(X1,powerset(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_140]) ).

cnf(c_0_140_1,axiom,
    ( ~ element(X1,powerset(X2))
    | subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_140]) ).

cnf(c_0_141_0,axiom,
    ( ~ in(X1,X2)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_141]) ).

cnf(c_0_141_1,axiom,
    ( ~ in(X2,X1)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_141]) ).

cnf(c_0_142_0,axiom,
    ( element(X1,powerset(X2))
    | ~ subset(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_142]) ).

cnf(c_0_142_1,axiom,
    ( ~ subset(X1,X2)
    | element(X1,powerset(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_142]) ).

cnf(c_0_143_0,axiom,
    ( in(X1,X2)
    | empty(X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_143_1,axiom,
    ( empty(X2)
    | in(X1,X2)
    | ~ element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_143_2,axiom,
    ( ~ element(X1,X2)
    | empty(X2)
    | in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_143]) ).

cnf(c_0_144_0,axiom,
    ( element(X1,X2)
    | ~ in(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_144]) ).

cnf(c_0_144_1,axiom,
    ( ~ in(X1,X2)
    | element(X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_144]) ).

cnf(c_0_145_0,axiom,
    ( empty(X1)
    | element(sk1_esk3_1(X1),powerset(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_145]) ).

cnf(c_0_145_1,axiom,
    ( element(sk1_esk3_1(X1),powerset(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_145]) ).

cnf(c_0_146_0,axiom,
    ( ~ empty(X1)
    | ~ in(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_146]) ).

cnf(c_0_146_1,axiom,
    ( ~ in(X2,X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_146]) ).

cnf(c_0_147_0,axiom,
    ( empty(X1)
    | ~ empty(relation_dom(X1))
    | ~ relation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_147]) ).

cnf(c_0_147_1,axiom,
    ( ~ empty(relation_dom(X1))
    | empty(X1)
    | ~ relation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_147]) ).

cnf(c_0_147_2,axiom,
    ( ~ relation(X1)
    | ~ empty(relation_dom(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_147]) ).

cnf(c_0_148_0,axiom,
    ( relation_dom(X1) = X2
    | ~ function(X1)
    | ~ relation(X1)
    | X1 != identity_relation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_1,axiom,
    ( ~ function(X1)
    | relation_dom(X1) = X2
    | ~ relation(X1)
    | X1 != identity_relation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_2,axiom,
    ( ~ relation(X1)
    | ~ function(X1)
    | relation_dom(X1) = X2
    | X1 != identity_relation(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_148_3,axiom,
    ( X1 != identity_relation(X2)
    | ~ relation(X1)
    | ~ function(X1)
    | relation_dom(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_148]) ).

cnf(c_0_150_0,axiom,
    ( empty(X1)
    | ~ empty(sk1_esk3_1(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_150_1,axiom,
    ( ~ empty(sk1_esk3_1(X1))
    | empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_150]) ).

cnf(c_0_152_0,axiom,
    ( empty(relation_dom(X1))
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_152_1,axiom,
    ( ~ empty(X1)
    | empty(relation_dom(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_152]) ).

cnf(c_0_153_0,axiom,
    ( relation(relation_dom(X1))
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_153_1,axiom,
    ( ~ empty(X1)
    | relation(relation_dom(X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_153]) ).

cnf(c_0_155_0,axiom,
    ( X2 = X1
    | ~ empty(X1)
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_1,axiom,
    ( ~ empty(X1)
    | X2 = X1
    | ~ empty(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_155_2,axiom,
    ( ~ empty(X2)
    | ~ empty(X1)
    | X2 = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_155]) ).

cnf(c_0_157_0,axiom,
    ( relation(X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_157_1,axiom,
    ( ~ empty(X1)
    | relation(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_157]) ).

cnf(c_0_158_0,axiom,
    ( function(X1)
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_158_1,axiom,
    ( ~ empty(X1)
    | function(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_158]) ).

cnf(c_0_163_0,axiom,
    ( X1 = empty_set
    | ~ empty(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_163_1,axiom,
    ( ~ empty(X1)
    | X1 = empty_set ),
    inference(literals_permutation,[status(thm)],[c_0_163]) ).

cnf(c_0_154_0,axiom,
    ~ empty(powerset(X1)),
    inference(literals_permutation,[status(thm)],[c_0_154]) ).

cnf(c_0_164_0,axiom,
    ~ empty(sk1_esk9_0),
    inference(literals_permutation,[status(thm)],[c_0_164]) ).

cnf(c_0_165_0,axiom,
    ~ empty(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_165]) ).

cnf(c_0_149_0,axiom,
    element(sk1_esk4_1(X1),powerset(X1)),
    inference(literals_permutation,[status(thm)],[c_0_149]) ).

cnf(c_0_151_0,axiom,
    element(sk1_esk1_1(X1),X1),
    inference(literals_permutation,[status(thm)],[c_0_151]) ).

cnf(c_0_156_0,axiom,
    subset(X1,X1),
    inference(literals_permutation,[status(thm)],[c_0_156]) ).

cnf(c_0_159_0,axiom,
    empty(sk1_esk4_1(X1)),
    inference(literals_permutation,[status(thm)],[c_0_159]) ).

cnf(c_0_160_0,axiom,
    relation(identity_relation(X1)),
    inference(literals_permutation,[status(thm)],[c_0_160]) ).

cnf(c_0_161_0,axiom,
    function(identity_relation(X1)),
    inference(literals_permutation,[status(thm)],[c_0_161]) ).

cnf(c_0_162_0,axiom,
    relation(identity_relation(X1)),
    inference(literals_permutation,[status(thm)],[c_0_162]) ).

cnf(c_0_166_0,axiom,
    empty(sk1_esk8_0),
    inference(literals_permutation,[status(thm)],[c_0_166]) ).

cnf(c_0_167_0,axiom,
    relation(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_167]) ).

cnf(c_0_168_0,axiom,
    relation_empty_yielding(sk1_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_168]) ).

cnf(c_0_169_0,axiom,
    relation(sk1_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_169]) ).

cnf(c_0_170_0,axiom,
    empty(sk1_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_170]) ).

cnf(c_0_171_0,axiom,
    relation(sk1_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_171]) ).

cnf(c_0_172_0,axiom,
    relation(sk1_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_172]) ).

cnf(c_0_173_0,axiom,
    function(sk1_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_173]) ).

cnf(c_0_174_0,axiom,
    empty(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_174]) ).

cnf(c_0_175_0,axiom,
    empty(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_175]) ).

cnf(c_0_176_0,axiom,
    relation(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_176]) ).

cnf(c_0_177_0,axiom,
    relation_empty_yielding(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_177]) ).

cnf(c_0_178_0,axiom,
    empty(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_178]) ).

cnf(c_0_179_0,axiom,
    relation(empty_set),
    inference(literals_permutation,[status(thm)],[c_0_179]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_001,conjecture,
    ! [X1,X2] :
      ( in(X2,X1)
     => apply(identity_relation(X1),X2) = X2 ),
    file('<stdin>',t35_funct_1) ).

fof(c_0_1_002,negated_conjecture,
    ~ ! [X1,X2] :
        ( in(X2,X1)
       => apply(identity_relation(X1),X2) = X2 ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_003,negated_conjecture,
    ( in(esk2_0,esk1_0)
    & apply(identity_relation(esk1_0),esk2_0) != esk2_0 ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).

cnf(c_0_3_004,negated_conjecture,
    apply(identity_relation(esk1_0),esk2_0) != esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

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

cnf(c_0_5_006,negated_conjecture,
    apply(identity_relation(esk1_0),esk2_0) != esk2_0,
    c_0_3,
    [final] ).

cnf(c_0_6_007,negated_conjecture,
    in(esk2_0,esk1_0),
    c_0_4,
    [final] ).

% End CNF derivation

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

cnf(c_83,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_aa042c.p',c_0_6) ).

cnf(c_111,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(copy,[status(esa)],[c_83]) ).

cnf(c_118,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(copy,[status(esa)],[c_111]) ).

cnf(c_119,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(copy,[status(esa)],[c_118]) ).

cnf(c_122,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(copy,[status(esa)],[c_119]) ).

cnf(c_373,negated_conjecture,
    in(sk2_esk2_0,sk2_esk1_0),
    inference(copy,[status(esa)],[c_122]) ).

cnf(c_61,plain,
    ( apply(X0,X1) = X1
    | ~ function(X0)
    | ~ relation(X0)
    | X0 != identity_relation(X2)
    | ~ in(X1,X2) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_aa042c.p',c_0_139_4) ).

cnf(c_329,plain,
    ( apply(X0,X1) = X1
    | ~ function(X0)
    | ~ relation(X0)
    | X0 != identity_relation(X2)
    | ~ in(X1,X2) ),
    inference(copy,[status(esa)],[c_61]) ).

cnf(c_330,plain,
    ( ~ relation(X0)
    | ~ function(X0)
    | ~ in(X1,X2)
    | apply(X0,X1) = X1
    | X0 != identity_relation(X2) ),
    inference(rewriting,[status(thm)],[c_329]) ).

cnf(c_385,plain,
    ( ~ relation(X0)
    | ~ function(X0)
    | apply(X0,sk2_esk2_0) = sk2_esk2_0
    | X0 != identity_relation(sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_373,c_330]) ).

cnf(c_386,plain,
    ( ~ relation(X0)
    | ~ function(X0)
    | apply(X0,sk2_esk2_0) = sk2_esk2_0
    | X0 != identity_relation(sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_385]) ).

cnf(c_82,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    file('/export/starexec/sandbox/tmp/iprover_modulo_aa042c.p',c_0_5) ).

cnf(c_109,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    inference(copy,[status(esa)],[c_82]) ).

cnf(c_117,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    inference(copy,[status(esa)],[c_109]) ).

cnf(c_120,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    inference(copy,[status(esa)],[c_117]) ).

cnf(c_121,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    inference(copy,[status(esa)],[c_120]) ).

cnf(c_371,negated_conjecture,
    apply(identity_relation(sk2_esk1_0),sk2_esk2_0) != sk2_esk2_0,
    inference(copy,[status(esa)],[c_121]) ).

cnf(c_411,plain,
    ( ~ relation(identity_relation(sk2_esk1_0))
    | ~ function(identity_relation(sk2_esk1_0))
    | identity_relation(sk2_esk1_0) != identity_relation(sk2_esk1_0) ),
    inference(resolution,[status(thm)],[c_386,c_371]) ).

cnf(c_412,plain,
    ( ~ relation(identity_relation(sk2_esk1_0))
    | ~ function(identity_relation(sk2_esk1_0))
    | identity_relation(sk2_esk1_0) != identity_relation(sk2_esk1_0) ),
    inference(rewriting,[status(thm)],[c_411]) ).

cnf(c_413,plain,
    ( ~ relation(identity_relation(sk2_esk1_0))
    | ~ function(identity_relation(sk2_esk1_0)) ),
    inference(equality_resolution_simp,[status(esa)],[c_412]) ).

cnf(c_15,plain,
    function(identity_relation(X0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_aa042c.p',c_0_161_0) ).

cnf(c_237,plain,
    function(identity_relation(X0)),
    inference(copy,[status(esa)],[c_15]) ).

cnf(c_14,plain,
    relation(identity_relation(X0)),
    file('/export/starexec/sandbox/tmp/iprover_modulo_aa042c.p',c_0_162_0) ).

cnf(c_235,plain,
    relation(identity_relation(X0)),
    inference(copy,[status(esa)],[c_14]) ).

cnf(c_416,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_413,c_237,c_235]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU217+3 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n011.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 19 20:38:54 EDT 2022
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running in mono-core mode
% 0.18/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.40  % FOF problem with conjecture
% 0.18/0.40  % 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_141537.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aa042c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_7b3e0f | grep -v "SZS"
% 0.19/0.43  
% 0.19/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % ------  iProver source info 
% 0.19/0.43  
% 0.19/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.43  % git: non_committed_changes: true
% 0.19/0.43  % git: last_make_outside_of_git: true
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % ------ Input Options
% 0.19/0.43  
% 0.19/0.43  % --out_options                         all
% 0.19/0.43  % --tptp_safe_out                       true
% 0.19/0.43  % --problem_path                        ""
% 0.19/0.43  % --include_path                        ""
% 0.19/0.43  % --clausifier                          .//eprover
% 0.19/0.43  % --clausifier_options                  --tstp-format  
% 0.19/0.43  % --stdin                               false
% 0.19/0.43  % --dbg_backtrace                       false
% 0.19/0.43  % --dbg_dump_prop_clauses               false
% 0.19/0.43  % --dbg_dump_prop_clauses_file          -
% 0.19/0.43  % --dbg_out_stat                        false
% 0.19/0.43  
% 0.19/0.43  % ------ General Options
% 0.19/0.43  
% 0.19/0.43  % --fof                                 false
% 0.19/0.43  % --time_out_real                       150.
% 0.19/0.43  % --time_out_prep_mult                  0.2
% 0.19/0.43  % --time_out_virtual                    -1.
% 0.19/0.43  % --schedule                            none
% 0.19/0.43  % --ground_splitting                    input
% 0.19/0.43  % --splitting_nvd                       16
% 0.19/0.43  % --non_eq_to_eq                        false
% 0.19/0.43  % --prep_gs_sim                         true
% 0.19/0.43  % --prep_unflatten                      false
% 0.19/0.43  % --prep_res_sim                        true
% 0.19/0.43  % --prep_upred                          true
% 0.19/0.43  % --res_sim_input                       true
% 0.19/0.43  % --clause_weak_htbl                    true
% 0.19/0.43  % --gc_record_bc_elim                   false
% 0.19/0.43  % --symbol_type_check                   false
% 0.19/0.43  % --clausify_out                        false
% 0.19/0.43  % --large_theory_mode                   false
% 0.19/0.43  % --prep_sem_filter                     none
% 0.19/0.43  % --prep_sem_filter_out                 false
% 0.19/0.43  % --preprocessed_out                    false
% 0.19/0.43  % --sub_typing                          false
% 0.19/0.43  % --brand_transform                     false
% 0.19/0.43  % --pure_diseq_elim                     true
% 0.19/0.43  % --min_unsat_core                      false
% 0.19/0.43  % --pred_elim                           true
% 0.19/0.43  % --add_important_lit                   false
% 0.19/0.43  % --soft_assumptions                    false
% 0.19/0.43  % --reset_solvers                       false
% 0.19/0.43  % --bc_imp_inh                          []
% 0.19/0.43  % --conj_cone_tolerance                 1.5
% 0.19/0.43  % --prolific_symb_bound                 500
% 0.19/0.43  % --lt_threshold                        2000
% 0.19/0.43  
% 0.19/0.43  % ------ SAT Options
% 0.19/0.43  
% 0.19/0.43  % --sat_mode                            false
% 0.19/0.43  % --sat_fm_restart_options              ""
% 0.19/0.43  % --sat_gr_def                          false
% 0.19/0.43  % --sat_epr_types                       true
% 0.19/0.43  % --sat_non_cyclic_types                false
% 0.19/0.43  % --sat_finite_models                   false
% 0.19/0.43  % --sat_fm_lemmas                       false
% 0.19/0.43  % --sat_fm_prep                         false
% 0.19/0.43  % --sat_fm_uc_incr                      true
% 0.19/0.43  % --sat_out_model                       small
% 0.19/0.43  % --sat_out_clauses                     false
% 0.19/0.43  
% 0.19/0.43  % ------ QBF Options
% 0.19/0.43  
% 0.19/0.43  % --qbf_mode                            false
% 0.19/0.43  % --qbf_elim_univ                       true
% 0.19/0.43  % --qbf_sk_in                           true
% 0.19/0.43  % --qbf_pred_elim                       true
% 0.19/0.43  % --qbf_split                           32
% 0.19/0.43  
% 0.19/0.43  % ------ BMC1 Options
% 0.19/0.43  
% 0.19/0.43  % --bmc1_incremental                    false
% 0.19/0.43  % --bmc1_axioms                         reachable_all
% 0.19/0.43  % --bmc1_min_bound                      0
% 0.19/0.43  % --bmc1_max_bound                      -1
% 0.19/0.43  % --bmc1_max_bound_default              -1
% 0.19/0.43  % --bmc1_symbol_reachability            true
% 0.19/0.43  % --bmc1_property_lemmas                false
% 0.19/0.43  % --bmc1_k_induction                    false
% 0.19/0.43  % --bmc1_non_equiv_states               false
% 0.19/0.43  % --bmc1_deadlock                       false
% 0.19/0.43  % --bmc1_ucm                            false
% 0.19/0.43  % --bmc1_add_unsat_core                 none
% 0.19/0.43  % --bmc1_unsat_core_children            false
% 0.19/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.43  % --bmc1_out_stat                       full
% 0.19/0.43  % --bmc1_ground_init                    false
% 0.19/0.43  % --bmc1_pre_inst_next_state            false
% 0.19/0.43  % --bmc1_pre_inst_state                 false
% 0.19/0.43  % --bmc1_pre_inst_reach_state           false
% 0.19/0.43  % --bmc1_out_unsat_core                 false
% 0.19/0.43  % --bmc1_aig_witness_out                false
% 0.19/0.43  % --bmc1_verbose                        false
% 0.19/0.43  % --bmc1_dump_clauses_tptp              false
% 0.19/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.44  % --bmc1_dump_file                      -
% 0.19/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.44  % --bmc1_ucm_extend_mode                1
% 0.19/0.44  % --bmc1_ucm_init_mode                  2
% 0.19/0.44  % --bmc1_ucm_cone_mode                  none
% 0.19/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.44  % --bmc1_ucm_relax_model                4
% 0.19/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.44  % --bmc1_ucm_layered_model              none
% 0.19/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.44  
% 0.19/0.44  % ------ AIG Options
% 0.19/0.44  
% 0.19/0.44  % --aig_mode                            false
% 0.19/0.44  
% 0.19/0.44  % ------ Instantiation Options
% 0.19/0.44  
% 0.19/0.44  % --instantiation_flag                  true
% 0.19/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44  % --inst_solver_per_active              750
% 0.19/0.44  % --inst_solver_calls_frac              0.5
% 0.19/0.44  % --inst_passive_queue_type             priority_queues
% 0.19/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44  % --inst_passive_queues_freq            [25;2]
% 0.19/0.44  % --inst_dismatching                    true
% 0.19/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.44  % --inst_prop_sim_given                 true
% 0.19/0.44  % --inst_prop_sim_new                   false
% 0.19/0.44  % --inst_orphan_elimination             true
% 0.19/0.44  % --inst_learning_loop_flag             true
% 0.19/0.44  % --inst_learning_start                 3000
% 0.19/0.44  % --inst_learning_factor                2
% 0.19/0.44  % --inst_start_prop_sim_after_learn     3
% 0.19/0.44  % --inst_sel_renew                      solver
% 0.19/0.44  % --inst_lit_activity_flag              true
% 0.19/0.44  % --inst_out_proof                      true
% 0.19/0.44  
% 0.19/0.44  % ------ Resolution Options
% 0.19/0.44  
% 0.19/0.44  % --resolution_flag                     true
% 0.19/0.44  % --res_lit_sel                         kbo_max
% 0.19/0.44  % --res_to_prop_solver                  none
% 0.19/0.44  % --res_prop_simpl_new                  false
% 0.19/0.44  % --res_prop_simpl_given                false
% 0.19/0.44  % --res_passive_queue_type              priority_queues
% 0.19/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.44  % --res_passive_queues_freq             [15;5]
% 0.19/0.44  % --res_forward_subs                    full
% 0.19/0.44  % --res_backward_subs                   full
% 0.19/0.44  % --res_forward_subs_resolution         true
% 0.19/0.44  % --res_backward_subs_resolution        true
% 0.19/0.44  % --res_orphan_elimination              false
% 0.19/0.44  % --res_time_limit                      1000.
% 0.19/0.44  % --res_out_proof                       true
% 0.19/0.44  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_141537.s
% 0.19/0.44  % --modulo                              true
% 0.19/0.44  
% 0.19/0.44  % ------ Combination Options
% 0.19/0.44  
% 0.19/0.44  % --comb_res_mult                       1000
% 0.19/0.44  % --comb_inst_mult                      300
% 0.19/0.44  % ------ 
% 0.19/0.44  
% 0.19/0.44  % ------ Parsing...% successful
% 0.19/0.44  
% 0.19/0.44  % ------ 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 % 
% 0.19/0.44  
% 0.19/0.44  % ------ Proving...
% 0.19/0.44  % ------ Problem Properties 
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % EPR                                   false
% 0.19/0.44  % Horn                                  false
% 0.19/0.44  % Has equality                          true
% 0.19/0.44  
% 0.19/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.44  
% 0.19/0.44  
% 0.19/0.44  % % ------ Current options:
% 0.19/0.44  
% 0.19/0.44  % ------ Input Options
% 0.19/0.44  
% 0.19/0.44  % --out_options                         all
% 0.19/0.44  % --tptp_safe_out                       true
% 0.19/0.44  % --problem_path                        ""
% 0.19/0.44  % --include_path                        ""
% 0.19/0.44  % --clausifier                          .//eprover
% 0.19/0.44  % --clausifier_options                  --tstp-format  
% 0.19/0.44  % --stdin                               false
% 0.19/0.44  % --dbg_backtrace                       false
% 0.19/0.44  % --dbg_dump_prop_clauses               false
% 0.19/0.44  % --dbg_dump_prop_clauses_file          -
% 0.19/0.44  % --dbg_out_stat                        false
% 0.19/0.44  
% 0.19/0.44  % ------ General Options
% 0.19/0.44  
% 0.19/0.44  % --fof                                 false
% 0.19/0.44  % --time_out_real                       150.
% 0.19/0.44  % --time_out_prep_mult                  0.2
% 0.19/0.44  % --time_out_virtual                    -1.
% 0.19/0.44  % --schedule                            none
% 0.19/0.44  % --ground_splitting                    input
% 0.19/0.44  % --splitting_nvd                       16
% 0.19/0.44  % --non_eq_to_eq                        false
% 0.19/0.44  % --prep_gs_sim                         true
% 0.19/0.44  % --prep_unflatten                      false
% 0.19/0.44  % --prep_res_sim                        true
% 0.19/0.44  % --prep_upred                          true
% 0.19/0.44  % --res_sim_input                       true
% 0.19/0.44  % --clause_weak_htbl                    true
% 0.19/0.44  % --gc_record_bc_elim                   false
% 0.19/0.44  % --symbol_type_check                   false
% 0.19/0.44  % --clausify_out                        false
% 0.19/0.44  % --large_theory_mode                   false
% 0.19/0.44  % --prep_sem_filter                     none
% 0.19/0.44  % --prep_sem_filter_out                 false
% 0.19/0.44  % --preprocessed_out                    false
% 0.19/0.44  % --sub_typing                          false
% 0.19/0.44  % --brand_transform                     false
% 0.19/0.44  % --pure_diseq_elim                     true
% 0.19/0.44  % --min_unsat_core                      false
% 0.19/0.44  % --pred_elim                           true
% 0.19/0.44  % --add_important_lit                   false
% 0.19/0.44  % --soft_assumptions                    false
% 0.19/0.44  % --reset_solvers                       false
% 0.19/0.44  % --bc_imp_inh                          []
% 0.19/0.44  % --conj_cone_tolerance                 1.5
% 0.19/0.44  % --prolific_symb_bound                 500
% 0.19/0.44  % --lt_threshold                        2000
% 0.19/0.44  
% 0.19/0.44  % ------ SAT Options
% 0.19/0.44  
% 0.19/0.44  % --sat_mode                            false
% 0.19/0.44  % --sat_fm_restart_options              ""
% 0.19/0.44  % --sat_gr_def                          false
% 0.19/0.44  % --sat_epr_types                       true
% 0.19/0.44  % --sat_non_cyclic_types                false
% 0.19/0.44  % --sat_finite_models                   false
% 0.19/0.44  % --sat_fm_lemmas                       false
% 0.19/0.44  % --sat_fm_prep                         false
% 0.19/0.44  % --sat_fm_uc_incr                      true
% 0.19/0.44  % --sat_out_model                       small
% 0.19/0.44  % --sat_out_clauses                     false
% 0.19/0.44  
% 0.19/0.44  % ------ QBF Options
% 0.19/0.44  
% 0.19/0.44  % --qbf_mode                            false
% 0.19/0.44  % --qbf_elim_univ                       true
% 0.19/0.44  % --qbf_sk_in                           true
% 0.19/0.44  % --qbf_pred_elim                       true
% 0.19/0.44  % --qbf_split                           32
% 0.19/0.44  
% 0.19/0.44  % ------ BMC1 Options
% 0.19/0.44  
% 0.19/0.44  % --bmc1_incremental                    false
% 0.19/0.44  % --bmc1_axioms                         reachable_all
% 0.19/0.44  % --bmc1_min_bound                      0
% 0.19/0.44  % --bmc1_max_bound                      -1
% 0.19/0.44  % --bmc1_max_bound_default              -1
% 0.19/0.44  % --bmc1_symbol_reachability            true
% 0.19/0.44  % --bmc1_property_lemmas                false
% 0.19/0.44  % --bmc1_k_induction                    false
% 0.19/0.44  % --bmc1_non_equiv_states               false
% 0.19/0.44  % --bmc1_deadlock                       false
% 0.19/0.44  % --bmc1_ucm                            false
% 0.19/0.44  % --bmc1_add_unsat_core                 none
% 0.19/0.44  % --bmc1_unsat_core_children            false
% 0.19/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.44  % --bmc1_out_stat                       full
% 0.19/0.44  % --bmc1_ground_init                    false
% 0.19/0.44  % --bmc1_pre_inst_next_state            false
% 0.19/0.44  % --bmc1_pre_inst_state                 false
% 0.19/0.44  % --bmc1_pre_inst_reach_state           false
% 0.19/0.44  % --bmc1_out_unsat_core                 false
% 0.19/0.44  % --bmc1_aig_witness_out                false
% 0.19/0.44  % --bmc1_verbose                        false
% 0.19/0.44  % --bmc1_dump_clauses_tptp              false
% 0.19/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.44  % --bmc1_dump_file                      -
% 0.19/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.44  % --bmc1_ucm_extend_mode                1
% 0.19/0.44  % --bmc1_ucm_init_mode                  2
% 0.19/0.44  % --bmc1_ucm_cone_mode                  none
% 0.19/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.44  % --bmc1_ucm_relax_model                4
% 0.19/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.44  % --bmc1_ucm_layered_model              none
% 0.19/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.44  
% 0.19/0.44  % ------ AIG Options
% 0.19/0.44  
% 0.19/0.44  % --aig_mode                            false
% 0.19/0.44  
% 0.19/0.44  % ------ Instantiation Options
% 0.19/0.44  
% 0.19/0.44  % --instantiation_flag                  true
% 0.19/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.44  % --inst_solver_per_active              750
% 0.19/0.44  % --inst_solver_calls_frac              0.5
% 0.19/0.44  % --inst_passive_queue_type             priority_queues
% 0.19/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.44  % --inst_passive_queues_freq            [25;2]
% 0.19/0.44  % --inst_dismatching                    true
% 0.19/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.44  % --inst_prop_sim_given                 true
% 150.20/150.43  % --inst_prop_sim_new                   false
% 150.20/150.43  % --inst_orphan_elimination             true
% 150.20/150.43  % --inst_learning_loop_flag             true
% 150.20/150.43  % --inst_learning_start                 3000
% 150.20/150.43  % --inst_learning_factor                2
% 150.20/150.43  % --inst_start_prop_sim_after_learn     3
% 150.20/150.43  % --inst_sel_renew                      solver
% 150.20/150.43  % --inst_lit_activity_flag              true
% 150.20/150.43  % --inst_out_proof                      true
% 150.20/150.43  
% 150.20/150.43  % ------ Resolution Options
% 150.20/150.43  
% 150.20/150.43  % --resolution_flag                     true
% 150.20/150.43  % --res_lit_sel                         kbo_max
% 150.20/150.43  % --res_to_prop_solver                  none
% 150.20/150.43  % --res_prop_simpl_new                  false
% 150.20/150.43  % --res_prop_simpl_given                false
% 150.20/150.43  % --res_passive_queue_type              priority_queues
% 150.20/150.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.20/150.43  % --res_passive_queues_freq             [15;5]
% 150.20/150.43  % --res_forward_subs                    full
% 150.20/150.43  % --res_backward_subs                   full
% 150.20/150.43  % --res_forward_subs_resolution         true
% 150.20/150.43  % --res_backward_subs_resolution        true
% 150.20/150.43  % --res_orphan_elimination              false
% 150.20/150.43  % --res_time_limit                      1000.
% 150.20/150.43  % --res_out_proof                       true
% 150.20/150.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_141537.s
% 150.20/150.43  % --modulo                              true
% 150.20/150.43  
% 150.20/150.43  % ------ Combination Options
% 150.20/150.43  
% 150.20/150.43  % --comb_res_mult                       1000
% 150.20/150.43  % --comb_inst_mult                      300
% 150.20/150.43  % ------ 
% 150.20/150.43  
% 150.20/150.43  
% 150.20/150.43  
% 150.20/150.43  % ------ Proving...
% 150.20/150.43  % 
% 150.20/150.43  
% 150.20/150.43  
% 150.20/150.43  % Time Out Real
% 150.20/150.43  
% 150.20/150.43  % ------                             Statistics
% 150.20/150.43  
% 150.20/150.43  % ------ General
% 150.20/150.43  
% 150.20/150.43  % num_of_input_clauses:                 67
% 150.20/150.43  % num_of_input_neg_conjectures:         2
% 150.20/150.43  % num_of_splits:                        0
% 150.20/150.43  % num_of_split_atoms:                   0
% 150.20/150.43  % num_of_sem_filtered_clauses:          0
% 150.20/150.43  % num_of_subtypes:                      0
% 150.20/150.43  % monotx_restored_types:                0
% 150.20/150.43  % sat_num_of_epr_types:                 0
% 150.20/150.43  % sat_num_of_non_cyclic_types:          0
% 150.20/150.43  % sat_guarded_non_collapsed_types:      0
% 150.20/150.43  % is_epr:                               0
% 150.20/150.43  % is_horn:                              0
% 150.20/150.43  % has_eq:                               1
% 150.20/150.43  % num_pure_diseq_elim:                  0
% 150.20/150.43  % simp_replaced_by:                     0
% 150.20/150.43  % res_preprocessed:                     4
% 150.20/150.43  % prep_upred:                           0
% 150.20/150.43  % prep_unflattend:                      0
% 150.20/150.43  % pred_elim_cands:                      0
% 150.20/150.43  % pred_elim:                            0
% 150.20/150.43  % pred_elim_cl:                         0
% 150.20/150.43  % pred_elim_cycles:                     0
% 150.20/150.43  % forced_gc_time:                       0
% 150.20/150.43  % gc_basic_clause_elim:                 0
% 150.20/150.43  % parsing_time:                         0.003
% 150.20/150.43  % sem_filter_time:                      0.
% 150.20/150.43  % pred_elim_time:                       0.
% 150.20/150.43  % out_proof_time:                       0.
% 150.20/150.43  % monotx_time:                          0.
% 150.20/150.43  % subtype_inf_time:                     0.
% 150.20/150.43  % unif_index_cands_time:                0.004
% 150.20/150.43  % unif_index_add_time:                  0.173
% 150.20/150.43  % total_time:                           150.017
% 150.20/150.43  % num_of_symbols:                       49
% 150.20/150.43  % num_of_terms:                         11280
% 150.20/150.43  
% 150.20/150.43  % ------ Propositional Solver
% 150.20/150.43  
% 150.20/150.43  % prop_solver_calls:                    8
% 150.20/150.43  % prop_fast_solver_calls:               6
% 150.20/150.43  % prop_num_of_clauses:                  1152
% 150.20/150.43  % prop_preprocess_simplified:           1076
% 150.20/150.43  % prop_fo_subsumed:                     0
% 150.20/150.43  % prop_solver_time:                     0.
% 150.20/150.43  % prop_fast_solver_time:                0.
% 150.20/150.43  % prop_unsat_core_time:                 0.
% 150.20/150.43  
% 150.20/150.43  % ------ QBF 
% 150.20/150.43  
% 150.20/150.43  % qbf_q_res:                            0
% 150.20/150.43  % qbf_num_tautologies:                  0
% 150.20/150.43  % qbf_prep_cycles:                      0
% 150.20/150.43  
% 150.20/150.43  % ------ BMC1
% 150.20/150.43  
% 150.20/150.43  % bmc1_current_bound:                   -1
% 150.20/150.43  % bmc1_last_solved_bound:               -1
% 150.20/150.43  % bmc1_unsat_core_size:                 -1
% 150.20/150.43  % bmc1_unsat_core_parents_size:         -1
% 150.20/150.43  % bmc1_merge_next_fun:                  0
% 150.20/150.43  % bmc1_unsat_core_clauses_time:         0.
% 150.20/150.43  
% 150.20/150.43  % ------ Instantiation
% 150.20/150.43  
% 150.20/150.43  % inst_num_of_clauses:                  768
% 150.20/150.43  % inst_num_in_passive:                  39
% 150.20/150.43  % inst_num_in_active:                   495
% 150.20/150.43  % inst_num_in_unprocessed:              234
% 150.20/150.43  % inst_num_of_loops:                    600
% 150.20/150.43  % inst_num_of_learning_restarts:        0
% 150.20/150.43  % inst_num_moves_active_passive:        103
% 150.20/150.43  % inst_lit_activity:                    184
% 150.20/150.43  % inst_lit_activity_moves:              0
% 150.20/150.43  % inst_num_tautologies:                 0
% 150.20/150.43  % inst_num_prop_implied:                0
% 150.20/150.43  % inst_num_existing_simplified:         0
% 150.20/150.43  % inst_num_eq_res_simplified:           0
% 150.20/150.43  % inst_num_child_elim:                  0
% 150.20/150.43  % inst_num_of_dismatching_blockings:    243
% 150.20/150.43  % inst_num_of_non_proper_insts:         699
% 150.20/150.43  % inst_num_of_duplicates:               651
% 150.20/150.43  % inst_inst_num_from_inst_to_res:       0
% 150.20/150.43  % inst_dismatching_checking_time:       0.001
% 150.20/150.43  
% 150.20/150.43  % ------ Resolution
% 150.20/150.43  
% 150.20/150.43  % res_num_of_clauses:                   2279
% 150.20/150.43  % res_num_in_passive:                   3
% 150.20/150.43  % res_num_in_active:                    2244
% 150.20/150.43  % res_num_of_loops:                     2937
% 150.20/150.43  % res_forward_subset_subsumed:          23
% 150.20/150.43  % res_backward_subset_subsumed:         0
% 150.20/150.43  % res_forward_subsumed:                 734
% 150.20/150.43  % res_backward_subsumed:                0
% 150.20/150.43  % res_forward_subsumption_resolution:   0
% 150.20/150.43  % res_backward_subsumption_resolution:  0
% 150.20/150.43  % res_clause_to_clause_subsumption:     5132
% 150.20/150.43  % res_orphan_elimination:               0
% 150.20/150.43  % res_tautology_del:                    0
% 150.20/150.43  % res_num_eq_res_simplified:            0
% 150.20/150.43  % res_num_sel_changes:                  0
% 150.20/150.43  % res_moves_from_active_to_pass:        0
% 150.20/150.43  
% 150.20/150.43  % Status Unknown
% 150.20/150.47  % Orienting using strategy ClausalAll
% 150.20/150.47  % FOF problem with conjecture
% 150.20/150.47  % 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_141537.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_aa042c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9194cf | grep -v "SZS"
% 150.31/150.49  
% 150.31/150.49  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.31/150.49  
% 150.31/150.49  % 
% 150.31/150.49  % ------  iProver source info 
% 150.31/150.49  
% 150.31/150.49  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.31/150.49  % git: non_committed_changes: true
% 150.31/150.49  % git: last_make_outside_of_git: true
% 150.31/150.49  
% 150.31/150.49  % 
% 150.31/150.49  % ------ Input Options
% 150.31/150.49  
% 150.31/150.49  % --out_options                         all
% 150.31/150.49  % --tptp_safe_out                       true
% 150.31/150.49  % --problem_path                        ""
% 150.31/150.49  % --include_path                        ""
% 150.31/150.49  % --clausifier                          .//eprover
% 150.31/150.49  % --clausifier_options                  --tstp-format  
% 150.31/150.49  % --stdin                               false
% 150.31/150.49  % --dbg_backtrace                       false
% 150.31/150.49  % --dbg_dump_prop_clauses               false
% 150.31/150.49  % --dbg_dump_prop_clauses_file          -
% 150.31/150.49  % --dbg_out_stat                        false
% 150.31/150.49  
% 150.31/150.49  % ------ General Options
% 150.31/150.49  
% 150.31/150.49  % --fof                                 false
% 150.31/150.49  % --time_out_real                       150.
% 150.31/150.49  % --time_out_prep_mult                  0.2
% 150.31/150.49  % --time_out_virtual                    -1.
% 150.31/150.49  % --schedule                            none
% 150.31/150.49  % --ground_splitting                    input
% 150.31/150.49  % --splitting_nvd                       16
% 150.31/150.49  % --non_eq_to_eq                        false
% 150.31/150.49  % --prep_gs_sim                         true
% 150.31/150.49  % --prep_unflatten                      false
% 150.31/150.49  % --prep_res_sim                        true
% 150.31/150.49  % --prep_upred                          true
% 150.31/150.49  % --res_sim_input                       true
% 150.31/150.49  % --clause_weak_htbl                    true
% 150.31/150.49  % --gc_record_bc_elim                   false
% 150.31/150.49  % --symbol_type_check                   false
% 150.31/150.49  % --clausify_out                        false
% 150.31/150.49  % --large_theory_mode                   false
% 150.31/150.49  % --prep_sem_filter                     none
% 150.31/150.49  % --prep_sem_filter_out                 false
% 150.31/150.49  % --preprocessed_out                    false
% 150.31/150.49  % --sub_typing                          false
% 150.31/150.49  % --brand_transform                     false
% 150.31/150.49  % --pure_diseq_elim                     true
% 150.31/150.49  % --min_unsat_core                      false
% 150.31/150.49  % --pred_elim                           true
% 150.31/150.49  % --add_important_lit                   false
% 150.31/150.49  % --soft_assumptions                    false
% 150.31/150.49  % --reset_solvers                       false
% 150.31/150.49  % --bc_imp_inh                          []
% 150.31/150.49  % --conj_cone_tolerance                 1.5
% 150.31/150.49  % --prolific_symb_bound                 500
% 150.31/150.49  % --lt_threshold                        2000
% 150.31/150.49  
% 150.31/150.49  % ------ SAT Options
% 150.31/150.49  
% 150.31/150.49  % --sat_mode                            false
% 150.31/150.49  % --sat_fm_restart_options              ""
% 150.31/150.49  % --sat_gr_def                          false
% 150.31/150.49  % --sat_epr_types                       true
% 150.31/150.49  % --sat_non_cyclic_types                false
% 150.31/150.49  % --sat_finite_models                   false
% 150.31/150.49  % --sat_fm_lemmas                       false
% 150.31/150.49  % --sat_fm_prep                         false
% 150.31/150.49  % --sat_fm_uc_incr                      true
% 150.31/150.49  % --sat_out_model                       small
% 150.31/150.49  % --sat_out_clauses                     false
% 150.31/150.49  
% 150.31/150.49  % ------ QBF Options
% 150.31/150.49  
% 150.31/150.49  % --qbf_mode                            false
% 150.31/150.49  % --qbf_elim_univ                       true
% 150.31/150.49  % --qbf_sk_in                           true
% 150.31/150.49  % --qbf_pred_elim                       true
% 150.31/150.49  % --qbf_split                           32
% 150.31/150.49  
% 150.31/150.49  % ------ BMC1 Options
% 150.31/150.49  
% 150.31/150.49  % --bmc1_incremental                    false
% 150.31/150.49  % --bmc1_axioms                         reachable_all
% 150.31/150.49  % --bmc1_min_bound                      0
% 150.31/150.49  % --bmc1_max_bound                      -1
% 150.31/150.49  % --bmc1_max_bound_default              -1
% 150.31/150.49  % --bmc1_symbol_reachability            true
% 150.31/150.49  % --bmc1_property_lemmas                false
% 150.31/150.49  % --bmc1_k_induction                    false
% 150.31/150.49  % --bmc1_non_equiv_states               false
% 150.31/150.49  % --bmc1_deadlock                       false
% 150.31/150.49  % --bmc1_ucm                            false
% 150.31/150.49  % --bmc1_add_unsat_core                 none
% 150.31/150.49  % --bmc1_unsat_core_children            false
% 150.31/150.49  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.31/150.49  % --bmc1_out_stat                       full
% 150.31/150.49  % --bmc1_ground_init                    false
% 150.31/150.49  % --bmc1_pre_inst_next_state            false
% 150.31/150.49  % --bmc1_pre_inst_state                 false
% 150.31/150.49  % --bmc1_pre_inst_reach_state           false
% 150.31/150.49  % --bmc1_out_unsat_core                 false
% 150.31/150.49  % --bmc1_aig_witness_out                false
% 150.31/150.49  % --bmc1_verbose                        false
% 150.31/150.49  % --bmc1_dump_clauses_tptp              false
% 150.31/150.50  % --bmc1_dump_unsat_core_tptp           false
% 150.31/150.50  % --bmc1_dump_file                      -
% 150.31/150.50  % --bmc1_ucm_expand_uc_limit            128
% 150.31/150.50  % --bmc1_ucm_n_expand_iterations        6
% 150.31/150.50  % --bmc1_ucm_extend_mode                1
% 150.31/150.50  % --bmc1_ucm_init_mode                  2
% 150.31/150.50  % --bmc1_ucm_cone_mode                  none
% 150.31/150.50  % --bmc1_ucm_reduced_relation_type      0
% 150.31/150.50  % --bmc1_ucm_relax_model                4
% 150.31/150.50  % --bmc1_ucm_full_tr_after_sat          true
% 150.31/150.50  % --bmc1_ucm_expand_neg_assumptions     false
% 150.31/150.50  % --bmc1_ucm_layered_model              none
% 150.31/150.50  % --bmc1_ucm_max_lemma_size             10
% 150.31/150.50  
% 150.31/150.50  % ------ AIG Options
% 150.31/150.50  
% 150.31/150.50  % --aig_mode                            false
% 150.31/150.50  
% 150.31/150.50  % ------ Instantiation Options
% 150.31/150.50  
% 150.31/150.50  % --instantiation_flag                  true
% 150.31/150.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.31/150.50  % --inst_solver_per_active              750
% 150.31/150.50  % --inst_solver_calls_frac              0.5
% 150.31/150.50  % --inst_passive_queue_type             priority_queues
% 150.31/150.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.31/150.50  % --inst_passive_queues_freq            [25;2]
% 150.31/150.50  % --inst_dismatching                    true
% 150.31/150.50  % --inst_eager_unprocessed_to_passive   true
% 150.31/150.50  % --inst_prop_sim_given                 true
% 150.31/150.50  % --inst_prop_sim_new                   false
% 150.31/150.50  % --inst_orphan_elimination             true
% 150.31/150.50  % --inst_learning_loop_flag             true
% 150.31/150.50  % --inst_learning_start                 3000
% 150.31/150.50  % --inst_learning_factor                2
% 150.31/150.50  % --inst_start_prop_sim_after_learn     3
% 150.31/150.50  % --inst_sel_renew                      solver
% 150.31/150.50  % --inst_lit_activity_flag              true
% 150.31/150.50  % --inst_out_proof                      true
% 150.31/150.50  
% 150.31/150.50  % ------ Resolution Options
% 150.31/150.50  
% 150.31/150.50  % --resolution_flag                     true
% 150.31/150.50  % --res_lit_sel                         kbo_max
% 150.31/150.50  % --res_to_prop_solver                  none
% 150.31/150.50  % --res_prop_simpl_new                  false
% 150.31/150.50  % --res_prop_simpl_given                false
% 150.31/150.50  % --res_passive_queue_type              priority_queues
% 150.31/150.50  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.31/150.50  % --res_passive_queues_freq             [15;5]
% 150.31/150.50  % --res_forward_subs                    full
% 150.31/150.50  % --res_backward_subs                   full
% 150.31/150.50  % --res_forward_subs_resolution         true
% 150.31/150.50  % --res_backward_subs_resolution        true
% 150.31/150.50  % --res_orphan_elimination              false
% 150.31/150.50  % --res_time_limit                      1000.
% 150.31/150.50  % --res_out_proof                       true
% 150.31/150.50  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_141537.s
% 150.31/150.50  % --modulo                              true
% 150.31/150.50  
% 150.31/150.50  % ------ Combination Options
% 150.31/150.50  
% 150.31/150.50  % --comb_res_mult                       1000
% 150.31/150.50  % --comb_inst_mult                      300
% 150.31/150.50  % ------ 
% 150.31/150.50  
% 150.31/150.50  % ------ Parsing...% successful
% 150.31/150.50  
% 150.31/150.50  % ------ 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 % 
% 150.31/150.50  
% 150.31/150.50  % ------ Proving...
% 150.31/150.50  % ------ Problem Properties 
% 150.31/150.50  
% 150.31/150.50  % 
% 150.31/150.50  % EPR                                   false
% 150.31/150.50  % Horn                                  false
% 150.31/150.50  % Has equality                          true
% 150.31/150.50  
% 150.31/150.50  % % ------ Input Options Time Limit: Unbounded
% 150.31/150.50  
% 150.31/150.50  
% 150.31/150.50  % % ------ Current options:
% 150.31/150.50  
% 150.31/150.50  % ------ Input Options
% 150.31/150.50  
% 150.31/150.50  % --out_options                         all
% 150.31/150.50  % --tptp_safe_out                       true
% 150.31/150.50  % --problem_path                        ""
% 150.31/150.50  % --include_path                        ""
% 150.31/150.50  % --clausifier                          .//eprover
% 150.31/150.50  % --clausifier_options                  --tstp-format  
% 150.31/150.50  % --stdin                               false
% 150.31/150.50  % --dbg_backtrace                       false
% 150.31/150.50  % --dbg_dump_prop_clauses               false
% 150.31/150.50  % --dbg_dump_prop_clauses_file          -
% 150.31/150.50  % --dbg_out_stat                        false
% 150.31/150.50  
% 150.31/150.50  % ------ General Options
% 150.31/150.50  
% 150.31/150.50  % --fof                                 false
% 150.31/150.50  % --time_out_real                       150.
% 150.31/150.50  % --time_out_prep_mult                  0.2
% 150.31/150.50  % --time_out_virtual                    -1.
% 150.31/150.50  % --schedule                            none
% 150.31/150.50  % --ground_splitting                    input
% 150.31/150.50  % --splitting_nvd                       16
% 150.31/150.50  % --non_eq_to_eq                        false
% 150.31/150.50  % --prep_gs_sim                         true
% 150.31/150.50  % --prep_unflatten                      false
% 150.31/150.50  % --prep_res_sim                        true
% 150.31/150.50  % --prep_upred                          true
% 150.31/150.50  % --res_sim_input                       true
% 150.31/150.50  % --clause_weak_htbl                    true
% 150.31/150.50  % --gc_record_bc_elim                   false
% 150.31/150.50  % --symbol_type_check                   false
% 150.31/150.50  % --clausify_out                        false
% 150.31/150.50  % --large_theory_mode                   false
% 150.31/150.50  % --prep_sem_filter                     none
% 150.31/150.50  % --prep_sem_filter_out                 false
% 150.31/150.50  % --preprocessed_out                    false
% 150.31/150.50  % --sub_typing                          false
% 150.31/150.50  % --brand_transform                     false
% 150.31/150.50  % --pure_diseq_elim                     true
% 150.31/150.50  % --min_unsat_core                      false
% 150.31/150.50  % --pred_elim                           true
% 150.31/150.50  % --add_important_lit                   false
% 150.31/150.50  % --soft_assumptions                    false
% 150.31/150.50  % --reset_solvers                       false
% 150.31/150.50  % --bc_imp_inh                          []
% 150.31/150.50  % --conj_cone_tolerance                 1.5
% 150.31/150.50  % --prolific_symb_bound                 500
% 150.31/150.50  % --lt_threshold                        2000
% 150.31/150.50  
% 150.31/150.50  % ------ SAT Options
% 150.31/150.50  
% 150.31/150.50  % --sat_mode                            false
% 150.31/150.50  % --sat_fm_restart_options              ""
% 150.31/150.50  % --sat_gr_def                          false
% 150.31/150.50  % --sat_epr_types                       true
% 150.31/150.50  % --sat_non_cyclic_types                false
% 150.31/150.50  % --sat_finite_models                   false
% 150.31/150.50  % --sat_fm_lemmas                       false
% 150.31/150.50  % --sat_fm_prep                         false
% 150.31/150.50  % --sat_fm_uc_incr                      true
% 150.31/150.50  % --sat_out_model                       small
% 150.31/150.50  % --sat_out_clauses                     false
% 150.31/150.50  
% 150.31/150.50  % ------ QBF Options
% 150.31/150.50  
% 150.31/150.50  % --qbf_mode                            false
% 150.31/150.50  % --qbf_elim_univ                       true
% 150.31/150.50  % --qbf_sk_in                           true
% 150.31/150.50  % --qbf_pred_elim                       true
% 150.31/150.50  % --qbf_split                           32
% 150.31/150.50  
% 150.31/150.50  % ------ BMC1 Options
% 150.31/150.50  
% 150.31/150.50  % --bmc1_incremental                    false
% 150.31/150.50  % --bmc1_axioms                         reachable_all
% 150.31/150.50  % --bmc1_min_bound                      0
% 150.31/150.50  % --bmc1_max_bound                      -1
% 150.31/150.50  % --bmc1_max_bound_default              -1
% 150.31/150.50  % --bmc1_symbol_reachability            true
% 150.31/150.50  % --bmc1_property_lemmas                false
% 150.31/150.50  % --bmc1_k_induction                    false
% 150.31/150.50  % --bmc1_non_equiv_states               false
% 150.31/150.50  % --bmc1_deadlock                       false
% 150.31/150.50  % --bmc1_ucm                            false
% 150.31/150.50  % --bmc1_add_unsat_core                 none
% 150.31/150.50  % --bmc1_unsat_core_children            false
% 150.31/150.50  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.31/150.50  % --bmc1_out_stat                       full
% 150.31/150.50  % --bmc1_ground_init                    false
% 150.31/150.50  % --bmc1_pre_inst_next_state            false
% 150.31/150.50  % --bmc1_pre_inst_state                 false
% 150.31/150.50  % --bmc1_pre_inst_reach_state           false
% 150.31/150.50  % --bmc1_out_unsat_core                 false
% 150.31/150.50  % --bmc1_aig_witness_out                false
% 150.31/150.50  % --bmc1_verbose                        false
% 150.31/150.50  % --bmc1_dump_clauses_tptp              false
% 150.31/150.50  % --bmc1_dump_unsat_core_tptp           false
% 150.31/150.50  % --bmc1_dump_file                      -
% 150.31/150.50  % --bmc1_ucm_expand_uc_limit            128
% 150.31/150.50  % --bmc1_ucm_n_expand_iterations        6
% 150.31/150.50  % --bmc1_ucm_extend_mode                1
% 150.31/150.50  % --bmc1_ucm_init_mode                  2
% 150.31/150.50  % --bmc1_ucm_cone_mode                  none
% 150.31/150.50  % --bmc1_ucm_reduced_relation_type      0
% 150.31/150.50  % --bmc1_ucm_relax_model                4
% 150.31/150.50  % --bmc1_ucm_full_tr_after_sat          true
% 150.31/150.50  % --bmc1_ucm_expand_neg_assumptions     false
% 150.31/150.50  % --bmc1_ucm_layered_model              none
% 150.31/150.50  % --bmc1_ucm_max_lemma_size             10
% 150.31/150.50  
% 150.31/150.50  % ------ AIG Options
% 150.31/150.50  
% 150.31/150.50  % --aig_mode                            false
% 150.31/150.50  
% 150.31/150.50  % ------ Instantiation Options
% 150.31/150.50  
% 150.31/150.50  % --instantiation_flag                  true
% 150.31/150.50  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.31/150.50  % --inst_solver_per_active              750
% 150.31/150.50  % --inst_solver_calls_frac              0.5
% 150.31/150.50  % --inst_passive_queue_type             priority_queues
% 150.31/150.50  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.31/150.50  % --inst_passive_queues_freq            [25;2]
% 150.31/150.50  % --inst_dismatching                    true
% 150.31/150.50  % --inst_eager_unprocessed_to_passive   true
% 150.31/150.50  % --inst_prop_sim_given                 true
% 150.31/150.51  % --inst_prop_sim_new                   false
% 150.31/150.51  % --inst_orphan_elimination             true
% 150.31/150.51  % --inst_learning_loop_flag             true
% 150.31/150.51  % --inst_learning_start                 3000
% 150.31/150.51  % --inst_learning_factor                2
% 150.31/150.51  % --inst_start_prop_sim_after_learn     3
% 150.31/150.51  % --inst_sel_renew                      solver
% 150.31/150.51  % --inst_lit_activity_flag              true
% 150.31/150.51  % --inst_out_proof                      true
% 150.31/150.51  
% 150.31/150.51  % ------ Resolution Options
% 150.31/150.51  
% 150.31/150.51  % --resolution_flag                     true
% 150.31/150.51  % --res_lit_sel                         kbo_max
% 150.31/150.51  % --res_to_prop_solver                  none
% 150.31/150.51  % --res_prop_simpl_new                  false
% 150.31/150.51  % --res_prop_simpl_given                false
% 150.31/150.51  % --res_passive_queue_type              priority_queues
% 150.31/150.51  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.31/150.51  % --res_passive_queues_freq             [15;5]
% 150.31/150.51  % --res_forward_subs                    full
% 150.31/150.51  % --res_backward_subs                   full
% 150.31/150.51  % --res_forward_subs_resolution         true
% 150.31/150.51  % --res_backward_subs_resolution        true
% 150.31/150.51  % --res_orphan_elimination              false
% 150.31/150.51  % --res_time_limit                      1000.
% 150.31/150.51  % --res_out_proof                       true
% 150.31/150.51  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_141537.s
% 150.31/150.51  % --modulo                              true
% 150.31/150.51  
% 150.31/150.51  % ------ Combination Options
% 150.31/150.51  
% 150.31/150.51  % --comb_res_mult                       1000
% 150.31/150.51  % --comb_inst_mult                      300
% 150.31/150.51  % ------ 
% 150.31/150.51  
% 150.31/150.51  
% 150.31/150.51  
% 150.31/150.51  % ------ Proving...
% 150.31/150.51  % 
% 150.31/150.51  
% 150.31/150.51  
% 150.31/150.51  %  Resolution empty clause
% 150.31/150.51  
% 150.31/150.51  % ------                             Statistics
% 150.31/150.51  
% 150.31/150.51  % ------ General
% 150.31/150.51  
% 150.31/150.51  % num_of_input_clauses:                 84
% 150.31/150.51  % num_of_input_neg_conjectures:         2
% 150.31/150.51  % num_of_splits:                        0
% 150.31/150.51  % num_of_split_atoms:                   0
% 150.31/150.51  % num_of_sem_filtered_clauses:          0
% 150.31/150.51  % num_of_subtypes:                      0
% 150.31/150.51  % monotx_restored_types:                0
% 150.31/150.51  % sat_num_of_epr_types:                 0
% 150.31/150.51  % sat_num_of_non_cyclic_types:          0
% 150.31/150.51  % sat_guarded_non_collapsed_types:      0
% 150.31/150.51  % is_epr:                               0
% 150.31/150.51  % is_horn:                              0
% 150.31/150.51  % has_eq:                               1
% 150.31/150.51  % num_pure_diseq_elim:                  0
% 150.31/150.51  % simp_replaced_by:                     0
% 150.31/150.51  % res_preprocessed:                     4
% 150.31/150.51  % prep_upred:                           0
% 150.31/150.51  % prep_unflattend:                      0
% 150.31/150.51  % pred_elim_cands:                      0
% 150.31/150.51  % pred_elim:                            0
% 150.31/150.51  % pred_elim_cl:                         0
% 150.31/150.51  % pred_elim_cycles:                     0
% 150.31/150.51  % forced_gc_time:                       0
% 150.31/150.51  % gc_basic_clause_elim:                 0
% 150.31/150.51  % parsing_time:                         0.003
% 150.31/150.51  % sem_filter_time:                      0.
% 150.31/150.51  % pred_elim_time:                       0.
% 150.31/150.51  % out_proof_time:                       0.
% 150.31/150.51  % monotx_time:                          0.
% 150.31/150.51  % subtype_inf_time:                     0.
% 150.31/150.51  % unif_index_cands_time:                0.
% 150.31/150.51  % unif_index_add_time:                  0.
% 150.31/150.51  % total_time:                           0.028
% 150.31/150.51  % num_of_symbols:                       49
% 150.31/150.51  % num_of_terms:                         197
% 150.31/150.51  
% 150.31/150.51  % ------ Propositional Solver
% 150.31/150.51  
% 150.31/150.51  % prop_solver_calls:                    1
% 150.31/150.51  % prop_fast_solver_calls:               6
% 150.31/150.51  % prop_num_of_clauses:                  72
% 150.31/150.51  % prop_preprocess_simplified:           244
% 150.31/150.51  % prop_fo_subsumed:                     0
% 150.31/150.51  % prop_solver_time:                     0.
% 150.31/150.51  % prop_fast_solver_time:                0.
% 150.31/150.51  % prop_unsat_core_time:                 0.
% 150.31/150.51  
% 150.31/150.51  % ------ QBF 
% 150.31/150.51  
% 150.31/150.51  % qbf_q_res:                            0
% 150.31/150.51  % qbf_num_tautologies:                  0
% 150.31/150.51  % qbf_prep_cycles:                      0
% 150.31/150.51  
% 150.31/150.51  % ------ BMC1
% 150.31/150.51  
% 150.31/150.51  % bmc1_current_bound:                   -1
% 150.31/150.51  % bmc1_last_solved_bound:               -1
% 150.31/150.51  % bmc1_unsat_core_size:                 -1
% 150.31/150.51  % bmc1_unsat_core_parents_size:         -1
% 150.31/150.51  % bmc1_merge_next_fun:                  0
% 150.31/150.51  % bmc1_unsat_core_clauses_time:         0.
% 150.31/150.51  
% 150.31/150.51  % ------ Instantiation
% 150.31/150.51  
% 150.31/150.51  % inst_num_of_clauses:                  79
% 150.31/150.51  % inst_num_in_passive:                  0
% 150.31/150.51  % inst_num_in_active:                   0
% 150.31/150.51  % inst_num_in_unprocessed:              84
% 150.31/150.51  % inst_num_of_loops:                    0
% 150.31/150.51  % inst_num_of_learning_restarts:        0
% 150.31/150.51  % inst_num_moves_active_passive:        0
% 150.31/150.51  % inst_lit_activity:                    0
% 150.31/150.51  % inst_lit_activity_moves:              0
% 150.31/150.51  % inst_num_tautologies:                 0
% 150.31/150.51  % inst_num_prop_implied:                0
% 150.31/150.51  % inst_num_existing_simplified:         0
% 150.31/150.51  % inst_num_eq_res_simplified:           0
% 150.31/150.51  % inst_num_child_elim:                  0
% 150.31/150.51  % inst_num_of_dismatching_blockings:    0
% 150.31/150.51  % inst_num_of_non_proper_insts:         0
% 150.31/150.51  % inst_num_of_duplicates:               0
% 150.31/150.51  % inst_inst_num_from_inst_to_res:       0
% 150.31/150.51  % inst_dismatching_checking_time:       0.
% 150.31/150.51  
% 150.31/150.51  % ------ Resolution
% 150.31/150.51  
% 150.31/150.51  % res_num_of_clauses:                   93
% 150.31/150.51  % res_num_in_passive:                   1
% 150.31/150.51  % res_num_in_active:                    49
% 150.31/150.51  % res_num_of_loops:                     8
% 150.31/150.51  % res_forward_subset_subsumed:          41
% 150.31/150.51  % res_backward_subset_subsumed:         0
% 150.31/150.51  % res_forward_subsumed:                 0
% 150.31/150.51  % res_backward_subsumed:                0
% 150.31/150.51  % res_forward_subsumption_resolution:   2
% 150.31/150.51  % res_backward_subsumption_resolution:  0
% 150.31/150.51  % res_clause_to_clause_subsumption:     6
% 150.31/150.51  % res_orphan_elimination:               0
% 150.31/150.51  % res_tautology_del:                    0
% 150.31/150.51  % res_num_eq_res_simplified:            1
% 150.31/150.51  % res_num_sel_changes:                  0
% 150.31/150.51  % res_moves_from_active_to_pass:        0
% 150.31/150.51  
% 150.31/150.51  % Status Unsatisfiable
% 150.31/150.51  % SZS status Theorem
% 150.31/150.51  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------