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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB022+2 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n018.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  : 300s
% DateTime : Tue May  5 05:17:03 PM UTC 2026

% Result   : Theorem 1.31s 1.73s
% Output   : CNFRefutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   58 (  24 unt;   0 def)
%            Number of atoms       :  255 (   0 equ)
%            Maximal formula atoms :   53 (   4 avg)
%            Number of connectives :  335 ( 138   ~; 135   |;  57   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   24 (  24 usr;  21 con; 0-5 aty)
%            Number of variables   :  100 (   0 sgn  24   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_chain_002,axiom,
    ! [X1,X5,X6,X7,X8] :
      ( ( iext(uri_rdf_first,X5,X6)
        & iext(uri_rdf_rest,X5,X7)
        & iext(uri_rdf_first,X7,X8)
        & iext(uri_rdf_rest,X7,uri_rdf_nil) )
     => ( iext(uri_owl_propertyChainAxiom,X1,X5)
      <=> ( ip(X1)
          & ip(X6)
          & ip(X8)
          & ! [X9,X10,X11] :
              ( ( iext(X6,X9,X10)
                & iext(X8,X10,X11) )
             => iext(X1,X9,X11) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_chain_002) ).

fof(testcase_premise_fullish_022_List_Member_Access,axiom,
    ? [X12,X13,X14,X15,X16,X17,X18,X19] :
      ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X12)
      & iext(uri_owl_propertyChainAxiom,uri_skos_member,X13)
      & iext(uri_rdf_first,X13,X12)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_first,X14,uri_rdf_first)
      & iext(uri_rdf_rest,X14,uri_rdf_nil)
      & iext(uri_owl_propertyChainAxiom,X12,X15)
      & iext(uri_rdf_first,X15,X12)
      & iext(uri_rdf_rest,X15,X16)
      & iext(uri_rdf_first,X16,uri_rdf_rest)
      & iext(uri_rdf_rest,X16,uri_rdf_nil)
      & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
      & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,X17)
      & iext(uri_rdf_first,X17,uri_ex_X)
      & iext(uri_rdf_rest,X17,X18)
      & iext(uri_rdf_first,X18,uri_ex_Y)
      & iext(uri_rdf_rest,X18,X19)
      & iext(uri_rdf_first,X19,uri_ex_Z)
      & iext(uri_rdf_rest,X19,uri_rdf_nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_022_List_Member_Access) ).

fof(rdfs_subpropertyof_main,axiom,
    ! [X1,X2] :
      ( iext(uri_rdfs_subPropertyOf,X1,X2)
     => ( ip(X1)
        & ip(X2)
        & ! [X3,X4] :
            ( iext(X1,X3,X4)
           => iext(X2,X3,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).

fof(testcase_conclusion_fullish_022_List_Member_Access,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/benchmark/theBenchmark.p',testcase_conclusion_fullish_022_List_Member_Access) ).

fof(c_0_4,plain,
    ! [X44,X45,X46,X47,X48,X49,X50,X51] :
      ( ( ip(X44)
        | ~ iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( ip(X46)
        | ~ iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( ip(X48)
        | ~ iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( ~ iext(X46,X49,X50)
        | ~ iext(X48,X50,X51)
        | iext(X44,X49,X51)
        | ~ iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( iext(X46,esk1_5(X44,X45,X46,X47,X48),esk2_5(X44,X45,X46,X47,X48))
        | ~ ip(X44)
        | ~ ip(X46)
        | ~ ip(X48)
        | iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( iext(X48,esk2_5(X44,X45,X46,X47,X48),esk3_5(X44,X45,X46,X47,X48))
        | ~ ip(X44)
        | ~ ip(X46)
        | ~ ip(X48)
        | iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,uri_rdf_nil) )
      & ( ~ iext(X44,esk1_5(X44,X45,X46,X47,X48),esk3_5(X44,X45,X46,X47,X48))
        | ~ ip(X44)
        | ~ ip(X46)
        | ~ ip(X48)
        | iext(uri_owl_propertyChainAxiom,X44,X45)
        | ~ iext(uri_rdf_first,X45,X46)
        | ~ iext(uri_rdf_rest,X45,X47)
        | ~ iext(uri_rdf_first,X47,X48)
        | ~ iext(uri_rdf_rest,X47,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)],[owl_chain_002])])])])]) ).

fof(c_0_5,plain,
    ( iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk4_0)
    & iext(uri_owl_propertyChainAxiom,uri_skos_member,esk5_0)
    & iext(uri_rdf_first,esk5_0,esk4_0)
    & iext(uri_rdf_rest,esk5_0,esk6_0)
    & iext(uri_rdf_first,esk6_0,uri_rdf_first)
    & iext(uri_rdf_rest,esk6_0,uri_rdf_nil)
    & iext(uri_owl_propertyChainAxiom,esk4_0,esk7_0)
    & iext(uri_rdf_first,esk7_0,esk4_0)
    & iext(uri_rdf_rest,esk7_0,esk8_0)
    & iext(uri_rdf_first,esk8_0,uri_rdf_rest)
    & iext(uri_rdf_rest,esk8_0,uri_rdf_nil)
    & iext(uri_rdf_type,uri_ex_MyOrderedCollection,uri_skos_OrderedCollection)
    & iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk9_0)
    & iext(uri_rdf_first,esk9_0,uri_ex_X)
    & iext(uri_rdf_rest,esk9_0,esk10_0)
    & iext(uri_rdf_first,esk10_0,uri_ex_Y)
    & iext(uri_rdf_rest,esk10_0,esk11_0)
    & iext(uri_rdf_first,esk11_0,uri_ex_Z)
    & iext(uri_rdf_rest,esk11_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_022_List_Member_Access])]) ).

cnf(c_0_6,plain,
    ( iext(X6,X2,X5)
    | ~ iext(X1,X2,X3)
    | ~ iext(X4,X3,X5)
    | ~ iext(uri_owl_propertyChainAxiom,X6,X7)
    | ~ iext(uri_rdf_first,X7,X1)
    | ~ iext(uri_rdf_rest,X7,X8)
    | ~ iext(uri_rdf_first,X8,X4)
    | ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_rdf_first,esk9_0,uri_ex_X),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    iext(uri_rdf_rest,esk9_0,esk10_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( iext(X1,X2,uri_ex_X)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,esk9_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_7]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_first,esk5_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

fof(c_0_11,plain,
    ! [X40,X41,X42,X43] :
      ( ( ip(X40)
        | ~ iext(uri_rdfs_subPropertyOf,X40,X41) )
      & ( ip(X41)
        | ~ iext(uri_rdfs_subPropertyOf,X40,X41) )
      & ( ~ iext(X40,X42,X43)
        | iext(X41,X42,X43)
        | ~ iext(uri_rdfs_subPropertyOf,X40,X41) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main])])])]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_first,esk10_0,uri_ex_Y),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,plain,
    ( iext(X1,X2,esk10_0)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_rest)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,esk9_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_8]) ).

cnf(c_0_14,plain,
    iext(uri_rdf_first,esk7_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_rest,esk10_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( iext(X1,X2,uri_ex_X)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_rest,esk5_0,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk9_0) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_rest,esk6_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_18,plain,
    iext(uri_rdf_first,esk6_0,uri_rdf_first),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_rest,esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_21,plain,
    iext(uri_skos_memberList,uri_ex_MyOrderedCollection,esk9_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_22,plain,
    ( iext(X1,X2,uri_ex_Y)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,esk10_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_12]) ).

cnf(c_0_23,plain,
    ( iext(X1,X2,esk10_0)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_rest)
    | ~ iext(uri_rdf_rest,esk7_0,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(esk4_0,X2,esk9_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_24,plain,
    iext(uri_rdf_rest,esk8_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,plain,
    iext(uri_rdf_first,esk8_0,uri_rdf_rest),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_rest,esk7_0,esk8_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_27,plain,
    iext(uri_rdf_first,esk11_0,uri_ex_Z),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_28,plain,
    ( iext(X1,X2,esk11_0)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_rest)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,esk10_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_15]) ).

fof(c_0_29,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)],[testcase_conclusion_fullish_022_List_Member_Access]) ).

cnf(c_0_30,plain,
    ( iext(X1,X2,uri_ex_X)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).

cnf(c_0_31,plain,
    iext(uri_owl_propertyChainAxiom,uri_skos_member,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_32,plain,
    ( iext(X1,uri_ex_MyOrderedCollection,esk9_0)
    | ~ iext(uri_rdfs_subPropertyOf,uri_skos_memberList,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_33,plain,
    iext(uri_rdfs_subPropertyOf,uri_skos_memberList,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_34,plain,
    ( iext(X1,X2,uri_ex_Y)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_rest,esk5_0,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk10_0) ),
    inference(spm,[status(thm)],[c_0_22,c_0_10]) ).

cnf(c_0_35,plain,
    ( iext(X1,X2,esk10_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(esk4_0,X2,esk9_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_36,plain,
    iext(uri_owl_propertyChainAxiom,esk4_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_37,plain,
    ( iext(X1,X2,uri_ex_Z)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,X4)
    | ~ iext(X5,X2,esk11_0) ),
    inference(spm,[status(thm)],[c_0_6,c_0_27]) ).

cnf(c_0_38,plain,
    ( iext(X1,X2,esk11_0)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_rest)
    | ~ iext(uri_rdf_rest,esk7_0,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(esk4_0,X2,esk10_0) ),
    inference(spm,[status(thm)],[c_0_28,c_0_14]) ).

fof(c_0_39,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_29]) ).

cnf(c_0_40,plain,
    ( iext(uri_skos_member,X1,uri_ex_X)
    | ~ iext(esk4_0,X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_41,plain,
    iext(esk4_0,uri_ex_MyOrderedCollection,esk9_0),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_42,plain,
    ( iext(X1,X2,uri_ex_Y)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_17]),c_0_18]),c_0_19])]) ).

cnf(c_0_43,plain,
    ( iext(esk4_0,X1,esk10_0)
    | ~ iext(esk4_0,X1,esk9_0) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_44,plain,
    ( iext(X1,X2,uri_ex_Z)
    | ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X3,uri_rdf_first)
    | ~ iext(uri_rdf_rest,esk5_0,X3)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk11_0) ),
    inference(spm,[status(thm)],[c_0_37,c_0_10]) ).

cnf(c_0_45,plain,
    ( iext(X1,X2,esk11_0)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk7_0)
    | ~ iext(esk4_0,X2,esk10_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_25]),c_0_26])]) ).

cnf(c_0_46,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(split_conjunct,[status(thm)],[c_0_39]) ).

cnf(c_0_47,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_X),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_48,plain,
    ( iext(uri_skos_member,X1,uri_ex_Y)
    | ~ iext(esk4_0,X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_31]) ).

cnf(c_0_49,plain,
    iext(esk4_0,uri_ex_MyOrderedCollection,esk10_0),
    inference(spm,[status(thm)],[c_0_43,c_0_41]) ).

cnf(c_0_50,plain,
    ( iext(X1,X2,uri_ex_Z)
    | ~ iext(uri_owl_propertyChainAxiom,X1,esk5_0)
    | ~ iext(esk4_0,X2,esk11_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_17]),c_0_18]),c_0_19])]) ).

cnf(c_0_51,plain,
    ( iext(esk4_0,X1,esk11_0)
    | ~ iext(esk4_0,X1,esk10_0) ),
    inference(spm,[status(thm)],[c_0_45,c_0_36]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y)
    | ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_47])]) ).

cnf(c_0_53,plain,
    iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Y),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,plain,
    ( iext(uri_skos_member,X1,uri_ex_Z)
    | ~ iext(esk4_0,X1,esk11_0) ),
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

cnf(c_0_55,plain,
    iext(esk4_0,uri_ex_MyOrderedCollection,esk11_0),
    inference(spm,[status(thm)],[c_0_51,c_0_49]) ).

cnf(c_0_56,negated_conjecture,
    ~ iext(uri_skos_member,uri_ex_MyOrderedCollection,uri_ex_Z),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).

cnf(c_0_57,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWB022+2 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.11  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32  % Computer : n018.cluster.edu
% 0.15/0.32  % Model    : x86_64 x86_64
% 0.15/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32  % Memory   : 8042.1875MB
% 0.15/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32  % CPULimit   : 300
% 0.15/0.32  % WCLimit    : 300
% 0.15/0.32  % DateTime   : Tue May  5 04:09:02 EDT 2026
% 0.15/0.32  % CPUTime    : 
% 0.15/0.33  % start to proof: theBenchmark
% 1.31/1.73  % Version  : CSE_E---1.7
% 1.31/1.73  % Problem  : theBenchmark.p
% 1.31/1.73  % SZS status Theorem for theBenchmark.p
% 1.31/1.73  % SZS output start CNFRefutation
% See solution above
% 1.31/1.74  % Total time : 1.371s
%------------------------------------------------------------------------------