TSTP Solution File: SWB022+2 by iProverMo---2.5-0.1

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%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n026.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 19:06:51 EDT 2022

% Result   : Theorem 13.23s 13.42s
% Output   : CNFRefutation 13.23s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(rdfs_subpropertyof_main,axiom,
    ! [P,Q] :
      ( iext(uri_rdfs_subPropertyOf,P,Q)
     => ( ip(P)
        & ip(Q)
        & ! [X,Y] :
            ( iext(P,X,Y)
           => iext(Q,X,Y) ) ) ),
    input ).

fof(rdfs_subpropertyof_main_0,plain,
    ! [P,Q] :
      ( ~ iext(uri_rdfs_subPropertyOf,P,Q)
      | ( ip(P)
        & ip(Q)
        & ! [X,Y] :
            ( iext(P,X,Y)
           => iext(Q,X,Y) ) ) ),
    inference(orientation,[status(thm)],[rdfs_subpropertyof_main]) ).

fof(def_lhs_atom1,axiom,
    ! [Q,P] :
      ( lhs_atom1(Q,P)
    <=> ~ iext(uri_rdfs_subPropertyOf,P,Q) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [P,Q] :
      ( lhs_atom1(Q,P)
      | ( ip(P)
        & ip(Q)
        & ! [X,Y] :
            ( iext(P,X,Y)
           => iext(Q,X,Y) ) ) ),
    inference(fold_definition,[status(thm)],[rdfs_subpropertyof_main_0,def_lhs_atom1]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( ip(X2)
        & ip(X1)
        & ! [X3,X4] :
            ( iext(X2,X3,X4)
           => iext(X1,X3,X4) ) ) ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_1,axiom,
    ! [X1,X2] :
      ( lhs_atom1(X1,X2)
      | ( ip(X2)
        & ip(X1)
        & ! [X3,X4] :
            ( iext(X2,X3,X4)
           => iext(X1,X3,X4) ) ) ),
    c_0_0 ).

fof(c_0_2,plain,
    ! [X5,X6,X7,X8] :
      ( ( ip(X6)
        | lhs_atom1(X5,X6) )
      & ( ip(X5)
        | lhs_atom1(X5,X6) )
      & ( ~ iext(X6,X7,X8)
        | iext(X5,X7,X8)
        | lhs_atom1(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,plain,
    ( lhs_atom1(X1,X2)
    | iext(X1,X3,X4)
    | ~ iext(X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,plain,
    ( lhs_atom1(X1,X2)
    | ip(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_5,plain,
    ( lhs_atom1(X1,X2)
    | ip(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,plain,
    ( lhs_atom1(X1,X2)
    | iext(X1,X3,X4)
    | ~ iext(X2,X3,X4) ),
    c_0_3,
    [final] ).

cnf(c_0_7,plain,
    ( lhs_atom1(X1,X2)
    | ip(X2) ),
    c_0_4,
    [final] ).

cnf(c_0_8,plain,
    ( lhs_atom1(X1,X2)
    | ip(X1) ),
    c_0_5,
    [final] ).

% End CNF derivation
cnf(c_0_6_0,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,X2,X1)
    | iext(X1,X3,X4)
    | ~ iext(X2,X3,X4) ),
    inference(unfold_definition,[status(thm)],[c_0_6,def_lhs_atom1]) ).

cnf(c_0_7_0,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,X2,X1)
    | ip(X2) ),
    inference(unfold_definition,[status(thm)],[c_0_7,def_lhs_atom1]) ).

cnf(c_0_8_0,axiom,
    ( ~ iext(uri_rdfs_subPropertyOf,X2,X1)
    | ip(X1) ),
    inference(unfold_definition,[status(thm)],[c_0_8,def_lhs_atom1]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X9,X10,X11,X12,X13] :
      ( ( iext(uri_rdf_first,X10,X11)
        & iext(uri_rdf_rest,X10,X12)
        & iext(uri_rdf_first,X12,X13)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X9,X10)
      <=> ( ip(X9)
          & ip(X11)
          & ip(X13)
          & ! [X14,X15,X16] :
              ( ( iext(X11,X14,X15)
                & iext(X13,X15,X16) )
             => iext(X9,X14,X16) ) ) ) ),
    file('<stdin>',owl_chain_002) ).

fof(c_0_1_002,axiom,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X1)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X2)
      & iext(uri_rdf_first,X2,X1)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_rdf_first)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X1,X4)
      & iext(uri_rdf_first,X4,X1)
      & iext(uri_rdf_rest,X4,X5)
      & iext(uri_rdf_first,X5,uri_rdf_rest)
      & iext(uri_rdf_rest,X5,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X6)
      & iext(uri_rdf_first,X6,uri_ex_X)
      & iext(uri_rdf_rest,X6,X7)
      & iext(uri_rdf_first,X7,uri_ex_Y)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_first,X8,uri_ex_Z)
      & iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    file('<stdin>',testcase_premise_fullish_022_List_Member_Access) ).

fof(c_0_2_003,axiom,
    ! [X9,X10,X11,X12,X13] :
      ( ( iext(uri_rdf_first,X10,X11)
        & iext(uri_rdf_rest,X10,X12)
        & iext(uri_rdf_first,X12,X13)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X9,X10)
      <=> ( ip(X9)
          & ip(X11)
          & ip(X13)
          & ! [X14,X15,X16] :
              ( ( iext(X11,X14,X15)
                & iext(X13,X15,X16) )
             => iext(X9,X14,X16) ) ) ) ),
    c_0_0 ).

fof(c_0_3_004,axiom,
    ? [X1,X2,X3,X4,X5,X6,X7,X8] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X1)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X2)
      & iext(uri_rdf_first,X2,X1)
      & iext(uri_rdf_rest,X2,X3)
      & iext(uri_rdf_first,X3,uri_rdf_first)
      & iext(uri_rdf_rest,X3,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X1,X4)
      & iext(uri_rdf_first,X4,X1)
      & iext(uri_rdf_rest,X4,X5)
      & iext(uri_rdf_first,X5,uri_rdf_rest)
      & iext(uri_rdf_rest,X5,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X6)
      & iext(uri_rdf_first,X6,uri_ex_X)
      & iext(uri_rdf_rest,X6,X7)
      & iext(uri_rdf_first,X7,uri_ex_Y)
      & iext(uri_rdf_rest,X7,X8)
      & iext(uri_rdf_first,X8,uri_ex_Z)
      & iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    c_0_1 ).

fof(c_0_4_005,plain,
    ! [X17,X18,X19,X20,X21,X22,X23,X24] :
      ( ( ip(X17)
        | ~ iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( ip(X19)
        | ~ iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( ip(X21)
        | ~ iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( ~ iext(X19,X22,X23)
        | ~ iext(X21,X23,X24)
        | iext(X17,X22,X24)
        | ~ iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( iext(X19,esk9_5(X17,X18,X19,X20,X21),esk10_5(X17,X18,X19,X20,X21))
        | ~ ip(X21)
        | ~ ip(X19)
        | ~ ip(X17)
        | iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( iext(X21,esk10_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
        | ~ ip(X21)
        | ~ ip(X19)
        | ~ ip(X17)
        | iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) )
      & ( ~ iext(X17,esk9_5(X17,X18,X19,X20,X21),esk11_5(X17,X18,X19,X20,X21))
        | ~ ip(X21)
        | ~ ip(X19)
        | ~ ip(X17)
        | iext(uri_owl_propertyChainAxiom,X17,X18)
        | ~ iext(uri_rdf_first,X18,X19)
        | ~ iext(uri_rdf_rest,X18,X20)
        | ~ iext(uri_rdf_first,X20,X21)
        | ~ iext(uri_rdf_rest,X20,uri_rdf_nil) ) ),
    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_2])])])])]) ).

fof(c_0_5_006,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk1_0)
    & iext(uri_owl_propertyChainAxiom,uri_skos_member,esk2_0)
    & iext(uri_rdf_first,esk2_0,esk1_0)
    & iext(uri_rdf_rest,esk2_0,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_rdf_first)
    & iext(uri_rdf_rest,esk3_0,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,esk1_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,esk1_0)
    & iext(uri_rdf_rest,esk4_0,esk5_0)
    & iext(uri_rdf_first,esk5_0,uri_rdf_rest)
    & iext(uri_rdf_rest,esk5_0,uri_rdf_nil)
    & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
    & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk6_0)
    & iext(uri_rdf_first,esk6_0,uri_ex_X)
    & iext(uri_rdf_rest,esk6_0,esk7_0)
    & iext(uri_rdf_first,esk7_0,uri_ex_Y)
    & iext(uri_rdf_rest,esk7_0,esk8_0)
    & iext(uri_rdf_first,esk8_0,uri_ex_Z)
    & iext(uri_rdf_rest,esk8_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_3])])]) ).

cnf(c_0_6_007,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,esk9_5(X5,X3,X4,X1,X2),esk11_5(X5,X3,X4,X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7_008,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X4,esk9_5(X5,X3,X4,X1,X2),esk10_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8_009,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X2,esk10_5(X5,X3,X4,X1,X2),esk11_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_9,plain,
    ( iext(X5,X6,X7)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_10,plain,
    ( ip(X5)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_11,plain,
    ( ip(X4)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_12,plain,
    ( ip(X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_13,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_first,esk3_0,uri_rdf_first),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    iext(uri_rdf_rest,esk3_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    iext(uri_owl_propertyChainAxiom,esk1_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_first,esk4_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_21,plain,
    iext(uri_rdf_rest,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_first,esk5_0,uri_rdf_rest),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_23,plain,
    iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_24,plain,
    iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_first,esk6_0,uri_ex_X),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,plain,
    iext(uri_rdf_rest,esk6_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_28,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_Y),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_29,plain,
    iext(uri_rdf_rest,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_30,plain,
    iext(uri_rdf_first,esk8_0,uri_ex_Z),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,esk9_5(X5,X3,X4,X1,X2),esk11_5(X5,X3,X4,X1,X2)) ),
    c_0_6,
    [final] ).

cnf(c_0_33,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X4,esk9_5(X5,X3,X4,X1,X2),esk10_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    c_0_7,
    [final] ).

cnf(c_0_34,plain,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X2,esk10_5(X5,X3,X4,X1,X2),esk11_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    c_0_8,
    [final] ).

cnf(c_0_35,plain,
    ( iext(X5,X6,X7)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    c_0_9,
    [final] ).

cnf(c_0_36,plain,
    ( ip(X5)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    c_0_10,
    [final] ).

cnf(c_0_37,plain,
    ( ip(X4)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    c_0_11,
    [final] ).

cnf(c_0_38,plain,
    ( ip(X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    c_0_12,
    [final] ).

cnf(c_0_39,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk1_0),
    c_0_13,
    [final] ).

cnf(c_0_40,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,esk2_0),
    c_0_14,
    [final] ).

cnf(c_0_41,plain,
    iext(uri_rdf_first,esk2_0,esk1_0),
    c_0_15,
    [final] ).

cnf(c_0_42,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    c_0_16,
    [final] ).

cnf(c_0_43,plain,
    iext(uri_rdf_first,esk3_0,uri_rdf_first),
    c_0_17,
    [final] ).

cnf(c_0_44,plain,
    iext(uri_rdf_rest,esk3_0,uri_rdf_nil),
    c_0_18,
    [final] ).

cnf(c_0_45,plain,
    iext(uri_owl_propertyChainAxiom,esk1_0,esk4_0),
    c_0_19,
    [final] ).

cnf(c_0_46,plain,
    iext(uri_rdf_first,esk4_0,esk1_0),
    c_0_20,
    [final] ).

cnf(c_0_47,plain,
    iext(uri_rdf_rest,esk4_0,esk5_0),
    c_0_21,
    [final] ).

cnf(c_0_48,plain,
    iext(uri_rdf_first,esk5_0,uri_rdf_rest),
    c_0_22,
    [final] ).

cnf(c_0_49,plain,
    iext(uri_rdf_rest,esk5_0,uri_rdf_nil),
    c_0_23,
    [final] ).

cnf(c_0_50,plain,
    iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection),
    c_0_24,
    [final] ).

cnf(c_0_51,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk6_0),
    c_0_25,
    [final] ).

cnf(c_0_52,plain,
    iext(uri_rdf_first,esk6_0,uri_ex_X),
    c_0_26,
    [final] ).

cnf(c_0_53,plain,
    iext(uri_rdf_rest,esk6_0,esk7_0),
    c_0_27,
    [final] ).

cnf(c_0_54,plain,
    iext(uri_rdf_first,esk7_0,uri_ex_Y),
    c_0_28,
    [final] ).

cnf(c_0_55,plain,
    iext(uri_rdf_rest,esk7_0,esk8_0),
    c_0_29,
    [final] ).

cnf(c_0_56,plain,
    iext(uri_rdf_first,esk8_0,uri_ex_Z),
    c_0_30,
    [final] ).

cnf(c_0_57,plain,
    iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
    c_0_31,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_32_0,axiom,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_1,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_2,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_3,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_4,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_5,axiom,
    ( ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X4)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_6,axiom,
    ( ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X2)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_7,axiom,
    ( ~ ip(X2)
    | ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_32_8,axiom,
    ( ~ iext(X5,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | ~ ip(X2)
    | ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_32]) ).

cnf(c_0_33_0,axiom,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_1,axiom,
    ( iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_2,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_3,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_4,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_5,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_6,axiom,
    ( ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_7,axiom,
    ( ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_33_8,axiom,
    ( ~ ip(X2)
    | ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X4,sk2_esk9_5(X5,X3,X4,X1,X2),sk2_esk10_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_33]) ).

cnf(c_0_34_0,axiom,
    ( iext(uri_owl_propertyChainAxiom,X5,X3)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_1,axiom,
    ( iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_2,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_3,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_4,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_5,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X5)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_6,axiom,
    ( ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X4)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_7,axiom,
    ( ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_34_8,axiom,
    ( ~ ip(X2)
    | ~ ip(X4)
    | ~ ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X2,sk2_esk10_5(X5,X3,X4,X1,X2),sk2_esk11_5(X5,X3,X4,X1,X2))
    | iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_34]) ).

cnf(c_0_35_0,axiom,
    ( iext(X5,X6,X7)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_1,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_2,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_3,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_4,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_5,axiom,
    ( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(X2,X8,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_6,axiom,
    ( ~ iext(X2,X8,X7)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7)
    | ~ iext(X4,X6,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_35_7,axiom,
    ( ~ iext(X4,X6,X8)
    | ~ iext(X2,X8,X7)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | iext(X5,X6,X7) ),
    inference(literals_permutation,[status(thm)],[c_0_35]) ).

cnf(c_0_36_0,axiom,
    ( ip(X5)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_1,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X5)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_2,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X5)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_3,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X5)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_4,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X5)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_36_5,axiom,
    ( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_36]) ).

cnf(c_0_37_0,axiom,
    ( ip(X4)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_1,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X4)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_2,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_3,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X4)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_4,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_37_5,axiom,
    ( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_37]) ).

cnf(c_0_38_0,axiom,
    ( ip(X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_1,axiom,
    ( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X2)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_2,axiom,
    ( ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X2)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_3,axiom,
    ( ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X2)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_4,axiom,
    ( ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X2)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_38_5,axiom,
    ( ~ iext(uri_owl_propertyChainAxiom,X5,X3)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_rest,X3,X1)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ip(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_38]) ).

cnf(c_0_39_0,axiom,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk2_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_39]) ).

cnf(c_0_40_0,axiom,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0),
    inference(literals_permutation,[status(thm)],[c_0_40]) ).

cnf(c_0_41_0,axiom,
    iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_41]) ).

cnf(c_0_42_0,axiom,
    iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0),
    inference(literals_permutation,[status(thm)],[c_0_42]) ).

cnf(c_0_43_0,axiom,
    iext(uri_rdf_first,sk2_esk3_0,uri_rdf_first),
    inference(literals_permutation,[status(thm)],[c_0_43]) ).

cnf(c_0_44_0,axiom,
    iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil),
    inference(literals_permutation,[status(thm)],[c_0_44]) ).

cnf(c_0_45_0,axiom,
    iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0),
    inference(literals_permutation,[status(thm)],[c_0_45]) ).

cnf(c_0_46_0,axiom,
    iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0),
    inference(literals_permutation,[status(thm)],[c_0_46]) ).

cnf(c_0_47_0,axiom,
    iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0),
    inference(literals_permutation,[status(thm)],[c_0_47]) ).

cnf(c_0_48_0,axiom,
    iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest),
    inference(literals_permutation,[status(thm)],[c_0_48]) ).

cnf(c_0_49_0,axiom,
    iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil),
    inference(literals_permutation,[status(thm)],[c_0_49]) ).

cnf(c_0_50_0,axiom,
    iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection),
    inference(literals_permutation,[status(thm)],[c_0_50]) ).

cnf(c_0_51_0,axiom,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sk2_esk6_0),
    inference(literals_permutation,[status(thm)],[c_0_51]) ).

cnf(c_0_52_0,axiom,
    iext(uri_rdf_first,sk2_esk6_0,uri_ex_X),
    inference(literals_permutation,[status(thm)],[c_0_52]) ).

cnf(c_0_53_0,axiom,
    iext(uri_rdf_rest,sk2_esk6_0,sk2_esk7_0),
    inference(literals_permutation,[status(thm)],[c_0_53]) ).

cnf(c_0_54_0,axiom,
    iext(uri_rdf_first,sk2_esk7_0,uri_ex_Y),
    inference(literals_permutation,[status(thm)],[c_0_54]) ).

cnf(c_0_55_0,axiom,
    iext(uri_rdf_rest,sk2_esk7_0,sk2_esk8_0),
    inference(literals_permutation,[status(thm)],[c_0_55]) ).

cnf(c_0_56_0,axiom,
    iext(uri_rdf_first,sk2_esk8_0,uri_ex_Z),
    inference(literals_permutation,[status(thm)],[c_0_56]) ).

cnf(c_0_57_0,axiom,
    iext(uri_rdf_rest,sk2_esk8_0,uri_rdf_nil),
    inference(literals_permutation,[status(thm)],[c_0_57]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_010,conjecture,
    ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('<stdin>',testcase_conclusion_fullish_022_List_Member_Access) ).

fof(c_0_1_011,negated_conjecture,
    ~ ( iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
      & iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(assume_negation,[status(cth)],[c_0_0]) ).

fof(c_0_2_012,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(fof_nnf,[status(thm)],[c_0_1]) ).

cnf(c_0_3_013,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_014,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    c_0_3,
    [final] ).

% End CNF derivation

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

cnf(c_27,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X6)
    | ~ iext(uri_rdf_first,X6,X0)
    | ~ iext(uri_rdf_rest,X6,X7)
    | ~ iext(uri_rdf_first,X7,X3)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
    | iext(X5,X1,X4) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_35_0) ).

cnf(c_115,plain,
    ( ~ iext(X0,X1,X2)
    | ~ iext(X3,X2,X4)
    | ~ iext(uri_owl_propertyChainAxiom,X5,X6)
    | ~ iext(uri_rdf_first,X6,X0)
    | ~ iext(uri_rdf_rest,X6,X7)
    | ~ iext(uri_rdf_first,X7,X3)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil)
    | iext(X5,X1,X4) ),
    inference(copy,[status(esa)],[c_27]) ).

cnf(c_57846,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,X1,sk2_esk3_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(X3,X4,X5)
    | ~ iext(X2,X5,X6)
    | iext(X0,X4,X6) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_57949,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X0,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,X1)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X2)
    | ~ iext(X1,X3,X4)
    | ~ iext(X2,X4,X5)
    | iext(X0,X3,X5) ),
    inference(instantiation,[status(thm)],[c_57846]) ).

cnf(c_58050,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,X0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X1)
    | iext(uri_skos_member,X2,X3)
    | ~ iext(X0,X2,X4)
    | ~ iext(X1,X4,X3) ),
    inference(instantiation,[status(thm)],[c_57949]) ).

cnf(c_58295,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X0)
    | ~ iext(sk2_esk1_0,X1,X2)
    | iext(uri_skos_member,X1,X3)
    | ~ iext(X0,X2,X3) ),
    inference(instantiation,[status(thm)],[c_58050]) ).

cnf(c_257815,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X0)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk8_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
    | ~ iext(X0,sk2_esk8_0,X1) ),
    inference(instantiation,[status(thm)],[c_58295]) ).

cnf(c_257958,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,uri_rdf_first)
    | ~ iext(uri_rdf_first,sk2_esk8_0,uri_ex_Z)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk8_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(instantiation,[status(thm)],[c_257815]) ).

cnf(c_257721,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X0)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk7_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
    | ~ iext(X0,sk2_esk7_0,X1) ),
    inference(instantiation,[status(thm)],[c_58295]) ).

cnf(c_257845,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,uri_rdf_first)
    | ~ iext(uri_rdf_first,sk2_esk7_0,uri_ex_Y)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk7_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y) ),
    inference(instantiation,[status(thm)],[c_257721]) ).

cnf(c_57847,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X0,X1)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,X1,sk2_esk5_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,X2)
    | ~ iext(uri_rdf_first,X1,X3)
    | ~ iext(X3,X4,X5)
    | ~ iext(X2,X5,X6)
    | iext(X0,X4,X6) ),
    inference(instantiation,[status(thm)],[c_115]) ).

cnf(c_57950,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,X0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk4_0,X1)
    | ~ iext(uri_rdf_first,sk2_esk5_0,X2)
    | ~ iext(X1,X3,X4)
    | ~ iext(X2,X4,X5)
    | iext(X0,X3,X5) ),
    inference(instantiation,[status(thm)],[c_57847]) ).

cnf(c_58052,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk4_0,X0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,X1)
    | iext(sk2_esk1_0,X2,X3)
    | ~ iext(X0,X2,X4)
    | ~ iext(X1,X4,X3) ),
    inference(instantiation,[status(thm)],[c_57950]) ).

cnf(c_58297,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,X0)
    | iext(sk2_esk1_0,X1,X2)
    | ~ iext(sk2_esk1_0,X1,X3)
    | ~ iext(X0,X3,X2) ),
    inference(instantiation,[status(thm)],[c_58052]) ).

cnf(c_131794,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,X0,X1)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest)
    | iext(sk2_esk1_0,X2,X1)
    | ~ iext(sk2_esk1_0,X2,X0) ),
    inference(instantiation,[status(thm)],[c_58297]) ).

cnf(c_132230,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,sk2_esk7_0,sk2_esk8_0)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest)
    | ~ iext(sk2_esk1_0,X0,sk2_esk7_0)
    | iext(sk2_esk1_0,X0,sk2_esk8_0) ),
    inference(instantiation,[status(thm)],[c_131794]) ).

cnf(c_257723,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,sk2_esk7_0,sk2_esk8_0)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk7_0)
    | iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk8_0) ),
    inference(instantiation,[status(thm)],[c_132230]) ).

cnf(c_132228,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,sk2_esk6_0,sk2_esk7_0)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest)
    | ~ iext(sk2_esk1_0,X0,sk2_esk6_0)
    | iext(sk2_esk1_0,X0,sk2_esk7_0) ),
    inference(instantiation,[status(thm)],[c_131794]) ).

cnf(c_196712,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0)
    | ~ iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0)
    | ~ iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil)
    | ~ iext(uri_rdf_rest,sk2_esk6_0,sk2_esk7_0)
    | ~ iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk6_0)
    | iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk7_0) ),
    inference(instantiation,[status(thm)],[c_132228]) ).

cnf(c_131792,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,X0)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk6_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,X1)
    | ~ iext(X0,sk2_esk6_0,X1) ),
    inference(instantiation,[status(thm)],[c_58295]) ).

cnf(c_132212,plain,
    ( ~ iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0)
    | ~ iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0)
    | ~ iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil)
    | ~ iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0)
    | ~ iext(uri_rdf_first,sk2_esk3_0,uri_rdf_first)
    | ~ iext(uri_rdf_first,sk2_esk6_0,uri_ex_X)
    | ~ iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk6_0)
    | iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X) ),
    inference(instantiation,[status(thm)],[c_131792]) ).

cnf(c_74,plain,
    ( ~ iext(X0,X1,X2)
    | iext(X3,X1,X2)
    | ~ iext(uri_rdfs_subPropertyOf,X0,X3) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_6_0) ).

cnf(c_162,plain,
    ( ~ iext(X0,X1,X2)
    | iext(X3,X1,X2)
    | ~ iext(uri_rdfs_subPropertyOf,X0,X3) ),
    inference(copy,[status(esa)],[c_74]) ).

cnf(c_57787,plain,
    ( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk2_esk1_0)
    | ~ iext(uri_skos_memberList,X0,X1)
    | iext(sk2_esk1_0,X0,X1) ),
    inference(instantiation,[status(thm)],[c_162]) ).

cnf(c_57936,plain,
    ( ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk2_esk1_0)
    | ~ iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sk2_esk6_0)
    | iext(sk2_esk1_0,uri_ex_MyOrderedCollection,sk2_esk6_0) ),
    inference(instantiation,[status(thm)],[c_57787]) ).

cnf(c_53,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_39_0) ).

cnf(c_54,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,sk2_esk2_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_40_0) ).

cnf(c_55,plain,
    iext(uri_rdf_first,sk2_esk2_0,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_41_0) ).

cnf(c_56,plain,
    iext(uri_rdf_rest,sk2_esk2_0,sk2_esk3_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_42_0) ).

cnf(c_57,plain,
    iext(uri_rdf_first,sk2_esk3_0,uri_rdf_first),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_43_0) ).

cnf(c_58,plain,
    iext(uri_rdf_rest,sk2_esk3_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_44_0) ).

cnf(c_59,plain,
    iext(uri_owl_propertyChainAxiom,sk2_esk1_0,sk2_esk4_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_45_0) ).

cnf(c_60,plain,
    iext(uri_rdf_first,sk2_esk4_0,sk2_esk1_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_46_0) ).

cnf(c_61,plain,
    iext(uri_rdf_rest,sk2_esk4_0,sk2_esk5_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_47_0) ).

cnf(c_62,plain,
    iext(uri_rdf_first,sk2_esk5_0,uri_rdf_rest),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_48_0) ).

cnf(c_63,plain,
    iext(uri_rdf_rest,sk2_esk5_0,uri_rdf_nil),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_49_0) ).

cnf(c_65,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,sk2_esk6_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_51_0) ).

cnf(c_66,plain,
    iext(uri_rdf_first,sk2_esk6_0,uri_ex_X),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_52_0) ).

cnf(c_67,plain,
    iext(uri_rdf_rest,sk2_esk6_0,sk2_esk7_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_53_0) ).

cnf(c_68,plain,
    iext(uri_rdf_first,sk2_esk7_0,uri_ex_Y),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_54_0) ).

cnf(c_69,plain,
    iext(uri_rdf_rest,sk2_esk7_0,sk2_esk8_0),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_55_0) ).

cnf(c_70,plain,
    iext(uri_rdf_first,sk2_esk8_0,uri_ex_Z),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_56_0) ).

cnf(c_75,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    file('/export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p',c_0_4) ).

cnf(contradiction,plain,
    $false,
    inference(minisat,[status(thm)],[c_257958,c_257845,c_257723,c_196712,c_132212,c_57936,c_53,c_54,c_55,c_56,c_57,c_58,c_59,c_60,c_61,c_62,c_63,c_65,c_66,c_67,c_68,c_69,c_70,c_75]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWB022+2 : TPTP v8.1.0. Released v5.2.0.
% 0.10/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Wed Jun  1 11:33:41 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.12/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.12/0.40  % FOF problem with conjecture
% 0.12/0.40  % 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_87565d.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a0b3b7.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_314011 | grep -v "SZS"
% 0.19/0.42  
% 0.19/0.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------  iProver source info 
% 0.19/0.42  
% 0.19/0.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.42  % git: non_committed_changes: true
% 0.19/0.42  % git: last_make_outside_of_git: true
% 0.19/0.42  
% 0.19/0.42  % 
% 0.19/0.42  % ------ Input Options
% 0.19/0.42  
% 0.19/0.42  % --out_options                         all
% 0.19/0.42  % --tptp_safe_out                       true
% 0.19/0.42  % --problem_path                        ""
% 0.19/0.42  % --include_path                        ""
% 0.19/0.42  % --clausifier                          .//eprover
% 0.19/0.42  % --clausifier_options                  --tstp-format  
% 0.19/0.42  % --stdin                               false
% 0.19/0.42  % --dbg_backtrace                       false
% 0.19/0.42  % --dbg_dump_prop_clauses               false
% 0.19/0.42  % --dbg_dump_prop_clauses_file          -
% 0.19/0.42  % --dbg_out_stat                        false
% 0.19/0.42  
% 0.19/0.42  % ------ General Options
% 0.19/0.42  
% 0.19/0.42  % --fof                                 false
% 0.19/0.42  % --time_out_real                       150.
% 0.19/0.42  % --time_out_prep_mult                  0.2
% 0.19/0.42  % --time_out_virtual                    -1.
% 0.19/0.42  % --schedule                            none
% 0.19/0.42  % --ground_splitting                    input
% 0.19/0.42  % --splitting_nvd                       16
% 0.19/0.42  % --non_eq_to_eq                        false
% 0.19/0.42  % --prep_gs_sim                         true
% 0.19/0.42  % --prep_unflatten                      false
% 0.19/0.42  % --prep_res_sim                        true
% 0.19/0.42  % --prep_upred                          true
% 0.19/0.42  % --res_sim_input                       true
% 0.19/0.42  % --clause_weak_htbl                    true
% 0.19/0.42  % --gc_record_bc_elim                   false
% 0.19/0.42  % --symbol_type_check                   false
% 0.19/0.42  % --clausify_out                        false
% 0.19/0.42  % --large_theory_mode                   false
% 0.19/0.42  % --prep_sem_filter                     none
% 0.19/0.42  % --prep_sem_filter_out                 false
% 0.19/0.42  % --preprocessed_out                    false
% 0.19/0.42  % --sub_typing                          false
% 0.19/0.42  % --brand_transform                     false
% 0.19/0.42  % --pure_diseq_elim                     true
% 0.19/0.42  % --min_unsat_core                      false
% 0.19/0.42  % --pred_elim                           true
% 0.19/0.42  % --add_important_lit                   false
% 0.19/0.42  % --soft_assumptions                    false
% 0.19/0.42  % --reset_solvers                       false
% 0.19/0.42  % --bc_imp_inh                          []
% 0.19/0.42  % --conj_cone_tolerance                 1.5
% 0.19/0.42  % --prolific_symb_bound                 500
% 0.19/0.42  % --lt_threshold                        2000
% 0.19/0.42  
% 0.19/0.42  % ------ SAT Options
% 0.19/0.42  
% 0.19/0.42  % --sat_mode                            false
% 0.19/0.42  % --sat_fm_restart_options              ""
% 0.19/0.42  % --sat_gr_def                          false
% 0.19/0.42  % --sat_epr_types                       true
% 0.19/0.42  % --sat_non_cyclic_types                false
% 0.19/0.42  % --sat_finite_models                   false
% 0.19/0.42  % --sat_fm_lemmas                       false
% 0.19/0.42  % --sat_fm_prep                         false
% 0.19/0.42  % --sat_fm_uc_incr                      true
% 0.19/0.42  % --sat_out_model                       small
% 0.19/0.42  % --sat_out_clauses                     false
% 0.19/0.42  
% 0.19/0.42  % ------ QBF Options
% 0.19/0.42  
% 0.19/0.42  % --qbf_mode                            false
% 0.19/0.42  % --qbf_elim_univ                       true
% 0.19/0.42  % --qbf_sk_in                           true
% 0.19/0.42  % --qbf_pred_elim                       true
% 0.19/0.42  % --qbf_split                           32
% 0.19/0.42  
% 0.19/0.42  % ------ BMC1 Options
% 0.19/0.42  
% 0.19/0.42  % --bmc1_incremental                    false
% 0.19/0.42  % --bmc1_axioms                         reachable_all
% 0.19/0.42  % --bmc1_min_bound                      0
% 0.19/0.42  % --bmc1_max_bound                      -1
% 0.19/0.42  % --bmc1_max_bound_default              -1
% 0.19/0.42  % --bmc1_symbol_reachability            true
% 0.19/0.42  % --bmc1_property_lemmas                false
% 0.19/0.42  % --bmc1_k_induction                    false
% 0.19/0.42  % --bmc1_non_equiv_states               false
% 0.19/0.42  % --bmc1_deadlock                       false
% 0.19/0.42  % --bmc1_ucm                            false
% 0.19/0.42  % --bmc1_add_unsat_core                 none
% 0.19/0.42  % --bmc1_unsat_core_children            false
% 0.19/0.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.42  % --bmc1_out_stat                       full
% 0.19/0.42  % --bmc1_ground_init                    false
% 0.19/0.42  % --bmc1_pre_inst_next_state            false
% 0.19/0.42  % --bmc1_pre_inst_state                 false
% 0.19/0.42  % --bmc1_pre_inst_reach_state           false
% 0.19/0.42  % --bmc1_out_unsat_core                 false
% 0.19/0.42  % --bmc1_aig_witness_out                false
% 0.19/0.42  % --bmc1_verbose                        false
% 0.19/0.42  % --bmc1_dump_clauses_tptp              false
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 0.19/0.43  % --inst_prop_sim_new                   false
% 0.19/0.43  % --inst_orphan_elimination             true
% 0.19/0.43  % --inst_learning_loop_flag             true
% 0.19/0.43  % --inst_learning_start                 3000
% 0.19/0.43  % --inst_learning_factor                2
% 0.19/0.43  % --inst_start_prop_sim_after_learn     3
% 0.19/0.43  % --inst_sel_renew                      solver
% 0.19/0.43  % --inst_lit_activity_flag              true
% 0.19/0.43  % --inst_out_proof                      true
% 0.19/0.43  
% 0.19/0.43  % ------ Resolution Options
% 0.19/0.43  
% 0.19/0.43  % --resolution_flag                     true
% 0.19/0.43  % --res_lit_sel                         kbo_max
% 0.19/0.43  % --res_to_prop_solver                  none
% 0.19/0.43  % --res_prop_simpl_new                  false
% 0.19/0.43  % --res_prop_simpl_given                false
% 0.19/0.43  % --res_passive_queue_type              priority_queues
% 0.19/0.43  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.19/0.43  % --res_passive_queues_freq             [15;5]
% 0.19/0.43  % --res_forward_subs                    full
% 0.19/0.43  % --res_backward_subs                   full
% 0.19/0.43  % --res_forward_subs_resolution         true
% 0.19/0.43  % --res_backward_subs_resolution        true
% 0.19/0.43  % --res_orphan_elimination              false
% 0.19/0.43  % --res_time_limit                      1000.
% 0.19/0.43  % --res_out_proof                       true
% 0.19/0.43  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_87565d.s
% 0.19/0.43  % --modulo                              true
% 0.19/0.43  
% 0.19/0.43  % ------ Combination Options
% 0.19/0.43  
% 0.19/0.43  % --comb_res_mult                       1000
% 0.19/0.43  % --comb_inst_mult                      300
% 0.19/0.43  % ------ 
% 0.19/0.43  
% 0.19/0.43  % ------ Parsing...% successful
% 0.19/0.43  
% 0.19/0.43  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.19/0.43  
% 0.19/0.43  % ------ Proving...
% 0.19/0.43  % ------ Problem Properties 
% 0.19/0.43  
% 0.19/0.43  % 
% 0.19/0.43  % EPR                                   false
% 0.19/0.43  % Horn                                  false
% 0.19/0.43  % Has equality                          false
% 0.19/0.43  
% 0.19/0.43  % % ------ Input Options Time Limit: Unbounded
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  % % ------ Current options:
% 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
% 0.19/0.43  % --bmc1_dump_unsat_core_tptp           false
% 0.19/0.43  % --bmc1_dump_file                      -
% 0.19/0.43  % --bmc1_ucm_expand_uc_limit            128
% 0.19/0.43  % --bmc1_ucm_n_expand_iterations        6
% 0.19/0.43  % --bmc1_ucm_extend_mode                1
% 0.19/0.43  % --bmc1_ucm_init_mode                  2
% 0.19/0.43  % --bmc1_ucm_cone_mode                  none
% 0.19/0.43  % --bmc1_ucm_reduced_relation_type      0
% 0.19/0.43  % --bmc1_ucm_relax_model                4
% 0.19/0.43  % --bmc1_ucm_full_tr_after_sat          true
% 0.19/0.43  % --bmc1_ucm_expand_neg_assumptions     false
% 0.19/0.43  % --bmc1_ucm_layered_model              none
% 0.19/0.43  % --bmc1_ucm_max_lemma_size             10
% 0.19/0.43  
% 0.19/0.43  % ------ AIG Options
% 0.19/0.43  
% 0.19/0.43  % --aig_mode                            false
% 0.19/0.43  
% 0.19/0.43  % ------ Instantiation Options
% 0.19/0.43  
% 0.19/0.43  % --instantiation_flag                  true
% 0.19/0.43  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.19/0.43  % --inst_solver_per_active              750
% 0.19/0.43  % --inst_solver_calls_frac              0.5
% 0.19/0.43  % --inst_passive_queue_type             priority_queues
% 0.19/0.43  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.19/0.43  % --inst_passive_queues_freq            [25;2]
% 0.19/0.43  % --inst_dismatching                    true
% 0.19/0.43  % --inst_eager_unprocessed_to_passive   true
% 0.19/0.43  % --inst_prop_sim_given                 true
% 13.23/13.42  % --inst_prop_sim_new                   false
% 13.23/13.42  % --inst_orphan_elimination             true
% 13.23/13.42  % --inst_learning_loop_flag             true
% 13.23/13.42  % --inst_learning_start                 3000
% 13.23/13.42  % --inst_learning_factor                2
% 13.23/13.42  % --inst_start_prop_sim_after_learn     3
% 13.23/13.42  % --inst_sel_renew                      solver
% 13.23/13.42  % --inst_lit_activity_flag              true
% 13.23/13.42  % --inst_out_proof                      true
% 13.23/13.42  
% 13.23/13.42  % ------ Resolution Options
% 13.23/13.42  
% 13.23/13.42  % --resolution_flag                     true
% 13.23/13.42  % --res_lit_sel                         kbo_max
% 13.23/13.42  % --res_to_prop_solver                  none
% 13.23/13.42  % --res_prop_simpl_new                  false
% 13.23/13.42  % --res_prop_simpl_given                false
% 13.23/13.42  % --res_passive_queue_type              priority_queues
% 13.23/13.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 13.23/13.42  % --res_passive_queues_freq             [15;5]
% 13.23/13.42  % --res_forward_subs                    full
% 13.23/13.42  % --res_backward_subs                   full
% 13.23/13.42  % --res_forward_subs_resolution         true
% 13.23/13.42  % --res_backward_subs_resolution        true
% 13.23/13.42  % --res_orphan_elimination              false
% 13.23/13.42  % --res_time_limit                      1000.
% 13.23/13.42  % --res_out_proof                       true
% 13.23/13.42  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_87565d.s
% 13.23/13.42  % --modulo                              true
% 13.23/13.42  
% 13.23/13.42  % ------ Combination Options
% 13.23/13.42  
% 13.23/13.42  % --comb_res_mult                       1000
% 13.23/13.42  % --comb_inst_mult                      300
% 13.23/13.42  % ------ 
% 13.23/13.42  
% 13.23/13.42  
% 13.23/13.42  
% 13.23/13.42  % ------ Proving...
% 13.23/13.42  % 
% 13.23/13.42  
% 13.23/13.42  
% 13.23/13.42  % ------                             Statistics
% 13.23/13.42  
% 13.23/13.42  % ------ General
% 13.23/13.42  
% 13.23/13.42  % num_of_input_clauses:                 76
% 13.23/13.42  % num_of_input_neg_conjectures:         1
% 13.23/13.42  % num_of_splits:                        0
% 13.23/13.42  % num_of_split_atoms:                   0
% 13.23/13.42  % num_of_sem_filtered_clauses:          0
% 13.23/13.42  % num_of_subtypes:                      0
% 13.23/13.42  % monotx_restored_types:                0
% 13.23/13.42  % sat_num_of_epr_types:                 0
% 13.23/13.42  % sat_num_of_non_cyclic_types:          0
% 13.23/13.42  % sat_guarded_non_collapsed_types:      0
% 13.23/13.42  % is_epr:                               0
% 13.23/13.42  % is_horn:                              0
% 13.23/13.42  % has_eq:                               0
% 13.23/13.42  % num_pure_diseq_elim:                  0
% 13.23/13.42  % simp_replaced_by:                     0
% 13.23/13.42  % res_preprocessed:                     2
% 13.23/13.42  % prep_upred:                           0
% 13.23/13.42  % prep_unflattend:                      0
% 13.23/13.42  % pred_elim_cands:                      0
% 13.23/13.42  % pred_elim:                            0
% 13.23/13.42  % pred_elim_cl:                         0
% 13.23/13.42  % pred_elim_cycles:                     0
% 13.23/13.42  % forced_gc_time:                       0
% 13.23/13.42  % gc_basic_clause_elim:                 0
% 13.23/13.42  % parsing_time:                         0.006
% 13.23/13.42  % sem_filter_time:                      0.
% 13.23/13.42  % pred_elim_time:                       0.
% 13.23/13.42  % out_proof_time:                       0.001
% 13.23/13.42  % monotx_time:                          0.
% 13.23/13.42  % subtype_inf_time:                     0.
% 13.23/13.42  % unif_index_cands_time:                0.009
% 13.23/13.42  % unif_index_add_time:                  0.008
% 13.23/13.42  % total_time:                           13.017
% 13.23/13.42  % num_of_symbols:                       51
% 13.23/13.42  % num_of_terms:                         28620
% 13.23/13.42  
% 13.23/13.42  % ------ Propositional Solver
% 13.23/13.42  
% 13.23/13.42  % prop_solver_calls:                    13
% 13.23/13.42  % prop_fast_solver_calls:               9
% 13.23/13.42  % prop_num_of_clauses:                  1586
% 13.23/13.42  % prop_preprocess_simplified:           2405
% 13.23/13.42  % prop_fo_subsumed:                     0
% 13.23/13.42  % prop_solver_time:                     0.
% 13.23/13.42  % prop_fast_solver_time:                0.
% 13.23/13.42  % prop_unsat_core_time:                 0.
% 13.23/13.42  
% 13.23/13.42  % ------ QBF 
% 13.23/13.42  
% 13.23/13.42  % qbf_q_res:                            0
% 13.23/13.42  % qbf_num_tautologies:                  0
% 13.23/13.42  % qbf_prep_cycles:                      0
% 13.23/13.42  
% 13.23/13.42  % ------ BMC1
% 13.23/13.42  
% 13.23/13.42  % bmc1_current_bound:                   -1
% 13.23/13.42  % bmc1_last_solved_bound:               -1
% 13.23/13.42  % bmc1_unsat_core_size:                 -1
% 13.23/13.42  % bmc1_unsat_core_parents_size:         -1
% 13.23/13.42  % bmc1_merge_next_fun:                  0
% 13.23/13.42  % bmc1_unsat_core_clauses_time:         0.
% 13.23/13.42  
% 13.23/13.42  % ------ Instantiation
% 13.23/13.42  
% 13.23/13.42  % inst_num_of_clauses:                  1002
% 13.23/13.42  % inst_num_in_passive:                  28
% 13.23/13.42  % inst_num_in_active:                   945
% 13.23/13.42  % inst_num_in_unprocessed:              27
% 13.23/13.42  % inst_num_of_loops:                    1051
% 13.23/13.42  % inst_num_of_learning_restarts:        0
% 13.23/13.42  % inst_num_moves_active_passive:        98
% 13.23/13.42  % inst_lit_activity:                    206
% 13.23/13.42  % inst_lit_activity_moves:              0
% 13.23/13.42  % inst_num_tautologies:                 0
% 13.23/13.42  % inst_num_prop_implied:                0
% 13.23/13.42  % inst_num_existing_simplified:         0
% 13.23/13.42  % inst_num_eq_res_simplified:           0
% 13.23/13.42  % inst_num_child_elim:                  0
% 13.23/13.42  % inst_num_of_dismatching_blockings:    0
% 13.23/13.42  % inst_num_of_non_proper_insts:         969
% 13.23/13.42  % inst_num_of_duplicates:               291
% 13.23/13.42  % inst_inst_num_from_inst_to_res:       0
% 13.23/13.42  % inst_dismatching_checking_time:       0.
% 13.23/13.42  
% 13.23/13.42  % ------ Resolution
% 13.23/13.42  
% 13.23/13.42  % res_num_of_clauses:                   24135
% 13.23/13.42  % res_num_in_passive:                   20035
% 13.23/13.42  % res_num_in_active:                    4044
% 13.23/13.42  % res_num_of_loops:                     4000
% 13.23/13.42  % res_forward_subset_subsumed:          31
% 13.23/13.42  % res_backward_subset_subsumed:         0
% 13.23/13.42  % res_forward_subsumed:                 0
% 13.23/13.42  % res_backward_subsumed:                0
% 13.23/13.42  % res_forward_subsumption_resolution:   419
% 13.23/13.42  % res_backward_subsumption_resolution:  0
% 13.23/13.42  % res_clause_to_clause_subsumption:     194727
% 13.23/13.42  % res_orphan_elimination:               0
% 13.23/13.42  % res_tautology_del:                    0
% 13.23/13.42  % res_num_eq_res_simplified:            0
% 13.23/13.42  % res_num_sel_changes:                  0
% 13.23/13.42  % res_moves_from_active_to_pass:        0
% 13.23/13.42  
% 13.23/13.42  % Status Unsatisfiable
% 13.23/13.42  % SZS status Theorem
% 13.23/13.42  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------