TSTP Solution File: SWB012+2 by E-SAT---3.1

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%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:37:47 EDT 2023

% Result   : Theorem 0.15s 0.45s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (  19 unt;   0 def)
%            Number of atoms       :  322 (   0 equ)
%            Maximal formula atoms :  124 (   5 avg)
%            Number of connectives :  471 ( 205   ~; 207   |;  52   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  21 con; 0-7 aty)
%            Number of variables   :  130 (  20 sgn;  37   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_bool_intersectionof_class_003,axiom,
    ! [X5,X6,X7,X8,X9,X10,X11] :
      ( ( iext(uri_rdf_first,X6,X7)
        & iext(uri_rdf_rest,X6,X8)
        & iext(uri_rdf_first,X8,X9)
        & iext(uri_rdf_rest,X8,X10)
        & iext(uri_rdf_first,X10,X11)
        & iext(uri_rdf_rest,X10,uri_rdf_nil) )
     => ( iext(uri_owl_intersectionOf,X5,X6)
      <=> ( ic(X5)
          & ic(X7)
          & ic(X9)
          & ic(X11)
          & ! [X1] :
              ( icext(X5,X1)
            <=> ( icext(X7,X1)
                & icext(X9,X1)
                & icext(X11,X1) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',owl_bool_intersectionof_class_003) ).

fof(testcase_premise_fullish_012_Template_Class,axiom,
    ? [X13,X14,X15,X16] :
      ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
      & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X13)
      & iext(uri_rdf_first,X13,uri_owl_DatatypeProperty)
      & iext(uri_rdf_rest,X13,X14)
      & iext(uri_rdf_first,X14,uri_owl_FunctionalProperty)
      & iext(uri_rdf_rest,X14,X15)
      & iext(uri_rdf_first,X15,X16)
      & iext(uri_rdf_rest,X15,uri_rdf_nil)
      & iext(uri_rdf_type,X16,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X16,uri_rdfs_domain)
      & iext(uri_owl_hasValue,X16,uri_foaf_Person)
      & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
      & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',testcase_premise_fullish_012_Template_Class) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',rdfs_cext_def) ).

fof(owl_restrict_hasvalue,axiom,
    ! [X5,X3,X12] :
      ( ( iext(uri_owl_hasValue,X5,X12)
        & iext(uri_owl_onProperty,X5,X3) )
     => ! [X1] :
          ( icext(X5,X1)
        <=> iext(X3,X1,X12) ) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',owl_restrict_hasvalue) ).

fof(rdfs_domain_main,axiom,
    ! [X3,X2,X1,X4] :
      ( ( iext(uri_rdfs_domain,X3,X2)
        & iext(X3,X1,X4) )
     => icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',rdfs_domain_main) ).

fof(testcase_conclusion_fullish_012_Template_Class,conjecture,
    ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    file('/export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p',testcase_conclusion_fullish_012_Template_Class) ).

fof(c_0_6,plain,
    ! [X23,X24,X25,X26,X27,X28,X29,X30,X31] :
      ( ( ic(X23)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ic(X25)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ic(X27)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ic(X29)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X25,X30)
        | ~ icext(X23,X30)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X27,X30)
        | ~ icext(X23,X30)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X29,X30)
        | ~ icext(X23,X30)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ~ icext(X25,X31)
        | ~ icext(X27,X31)
        | ~ icext(X29,X31)
        | icext(X23,X31)
        | ~ iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( ~ icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ icext(X25,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ icext(X27,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ icext(X29,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ic(X23)
        | ~ ic(X25)
        | ~ ic(X27)
        | ~ ic(X29)
        | iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X25,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ic(X23)
        | ~ ic(X25)
        | ~ ic(X27)
        | ~ ic(X29)
        | iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X27,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ic(X23)
        | ~ ic(X25)
        | ~ ic(X27)
        | ~ ic(X29)
        | iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) )
      & ( icext(X29,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | icext(X23,esk1_7(X23,X24,X25,X26,X27,X28,X29))
        | ~ ic(X23)
        | ~ ic(X25)
        | ~ ic(X27)
        | ~ ic(X29)
        | iext(uri_owl_intersectionOf,X23,X24)
        | ~ iext(uri_rdf_first,X24,X25)
        | ~ iext(uri_rdf_rest,X24,X26)
        | ~ iext(uri_rdf_first,X26,X27)
        | ~ iext(uri_rdf_rest,X26,X28)
        | ~ iext(uri_rdf_first,X28,X29)
        | ~ iext(uri_rdf_rest,X28,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_bool_intersectionof_class_003])])])])])]) ).

fof(c_0_7,plain,
    ( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
    & iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0)
    & iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty)
    & iext(uri_rdf_rest,esk2_0,esk3_0)
    & iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty)
    & iext(uri_rdf_rest,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,esk5_0)
    & iext(uri_rdf_rest,esk4_0,uri_rdf_nil)
    & iext(uri_rdf_type,esk5_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain)
    & iext(uri_owl_hasValue,esk5_0,uri_foaf_Person)
    & iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
    & iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_012_Template_Class])]) ).

cnf(c_0_8,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_intersectionOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_rest,X6,X8)
    | ~ iext(uri_rdf_first,X8,X1)
    | ~ iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk4_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_rest,X6,X4)
    | ~ iext(uri_owl_intersectionOf,X3,X6) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,plain,
    iext(uri_rdf_first,esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk4_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,X3)
    | ~ iext(uri_owl_intersectionOf,X2,X5) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,plain,
    iext(uri_rdf_rest,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_14,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk3_0,X3)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_intersectionOf,X2,X4) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk3_0,uri_owl_FunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_16,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_intersectionOf,X2,X3) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,plain,
    iext(uri_rdf_rest,esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_18,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_19,plain,
    iext(uri_rdf_first,esk2_0,uri_owl_DatatypeProperty),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_20,plain,
    ! [X17,X18] :
      ( ( ~ iext(uri_rdf_type,X17,X18)
        | icext(X18,X17) )
      & ( ~ icext(X18,X17)
        | iext(uri_rdf_type,X17,X18) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_21,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_intersectionOf,X3,X4)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_rdf_rest,X4,X6)
    | ~ iext(uri_rdf_first,X6,X1)
    | ~ iext(uri_rdf_rest,X6,X7)
    | ~ iext(uri_rdf_first,X7,X8)
    | ~ iext(uri_rdf_rest,X7,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_22,plain,
    ! [X33,X34,X35,X36] :
      ( ( ~ icext(X33,X36)
        | iext(X34,X36,X35)
        | ~ iext(uri_owl_hasValue,X33,X35)
        | ~ iext(uri_owl_onProperty,X33,X34) )
      & ( ~ iext(X34,X36,X35)
        | icext(X33,X36)
        | ~ iext(uri_owl_hasValue,X33,X35)
        | ~ iext(uri_owl_onProperty,X33,X34) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasvalue])])])]) ).

cnf(c_0_23,plain,
    ( icext(esk5_0,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_24,plain,
    iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_25,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_26,plain,
    iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_27,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk4_0,X4)
    | ~ iext(uri_rdf_rest,X5,esk4_0)
    | ~ iext(uri_rdf_first,X5,X1)
    | ~ iext(uri_rdf_first,X6,X7)
    | ~ iext(uri_rdf_rest,X6,X5)
    | ~ iext(uri_owl_intersectionOf,X3,X6) ),
    inference(spm,[status(thm)],[c_0_21,c_0_9]) ).

cnf(c_0_28,plain,
    ( iext(X3,X2,X4)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_hasValue,X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

cnf(c_0_29,plain,
    iext(uri_owl_hasValue,esk5_0,uri_foaf_Person),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_30,plain,
    ( icext(esk5_0,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_31,plain,
    icext(uri_ex_PersonAttribute,uri_ex_name),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_rest,X4,esk4_0)
    | ~ iext(uri_rdf_first,X4,X1)
    | ~ iext(uri_rdf_first,X5,X6)
    | ~ iext(uri_rdf_rest,X5,X4)
    | ~ iext(uri_owl_intersectionOf,X3,X5) ),
    inference(spm,[status(thm)],[c_0_27,c_0_11]) ).

cnf(c_0_33,plain,
    ( iext(X1,X2,uri_foaf_Person)
    | ~ icext(esk5_0,X2)
    | ~ iext(uri_owl_onProperty,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_34,plain,
    icext(esk5_0,uri_ex_name),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,plain,
    ( icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_rdf_first,esk3_0,X1)
    | ~ iext(uri_rdf_rest,X4,esk3_0)
    | ~ iext(uri_rdf_first,X4,X5)
    | ~ iext(uri_owl_intersectionOf,X3,X4) ),
    inference(spm,[status(thm)],[c_0_32,c_0_13]) ).

fof(c_0_36,plain,
    ! [X19,X20,X21,X22] :
      ( ~ iext(uri_rdfs_domain,X19,X20)
      | ~ iext(X19,X21,X22)
      | icext(X20,X21) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_domain_main])]) ).

cnf(c_0_37,plain,
    ( iext(X1,uri_ex_name,uri_foaf_Person)
    | ~ iext(uri_owl_onProperty,esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    iext(uri_owl_onProperty,esk5_0,uri_rdfs_domain),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_39,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_rest,X3,esk3_0)
    | ~ iext(uri_rdf_first,X3,X4)
    | ~ iext(uri_owl_intersectionOf,X2,X3) ),
    inference(spm,[status(thm)],[c_0_35,c_0_15]) ).

cnf(c_0_40,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_domain,X1,X2)
    | ~ iext(X1,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_36]) ).

cnf(c_0_41,plain,
    iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_42,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_rdf_first,esk2_0,X3)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_39,c_0_17]) ).

fof(c_0_43,negated_conjecture,
    ~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
      & iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_012_Template_Class]) ).

cnf(c_0_44,plain,
    ( icext(uri_foaf_Person,X1)
    | ~ iext(uri_ex_name,X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_41]) ).

cnf(c_0_45,plain,
    iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_46,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_intersectionOf,X2,esk2_0) ),
    inference(spm,[status(thm)],[c_0_42,c_0_19]) ).

fof(c_0_47,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(fof_nnf,[status(thm)],[c_0_43]) ).

cnf(c_0_48,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_49,plain,
    icext(uri_foaf_Person,uri_ex_alice),
    inference(spm,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_50,plain,
    ( icext(uri_owl_FunctionalProperty,X1)
    | ~ icext(uri_ex_PersonAttribute,X1) ),
    inference(spm,[status(thm)],[c_0_46,c_0_24]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
    | ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_52,plain,
    iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_53,plain,
    icext(uri_owl_FunctionalProperty,uri_ex_name),
    inference(spm,[status(thm)],[c_0_50,c_0_31]) ).

cnf(c_0_54,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_55,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_53]),c_0_54]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem    : SWB012+2 : TPTP v8.1.2. Released v5.2.0.
% 0.03/0.11  % Command    : run_E %s %d THM
% 0.10/0.31  % Computer : n027.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 20:46:30 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.15/0.43  Running first-order model finding
% 0.15/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.6IlwidHNyu/E---3.1_30865.p
% 0.15/0.45  # Version: 3.1pre001
% 0.15/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.45  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45  # Starting sh5l with 300s (1) cores
% 0.15/0.45  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 30943 completed with status 0
% 0.15/0.45  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.45  # No SInE strategy applied
% 0.15/0.45  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.15/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.45  # Starting new_bool_3 with 136s (1) cores
% 0.15/0.45  # Starting new_bool_1 with 136s (1) cores
% 0.15/0.45  # Starting sh5l with 136s (1) cores
% 0.15/0.45  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 30950 completed with status 0
% 0.15/0.45  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.15/0.45  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.45  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.45  # No SInE strategy applied
% 0.15/0.45  # Search class: FGHNF-FFMM33-SFFFFFNN
% 0.15/0.45  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.15/0.45  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.15/0.45  # Preprocessing time       : 0.001 s
% 0.15/0.45  # Presaturation interreduction done
% 0.15/0.45  
% 0.15/0.45  # Proof found!
% 0.15/0.45  # SZS status Theorem
% 0.15/0.45  # SZS output start CNFRefutation
% See solution above
% 0.15/0.45  # Parsed axioms                        : 6
% 0.15/0.45  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.45  # Initial clauses                      : 31
% 0.15/0.45  # Removed in clause preprocessing      : 0
% 0.15/0.45  # Initial clauses in saturation        : 31
% 0.15/0.45  # Processed clauses                    : 120
% 0.15/0.45  # ...of these trivial                  : 0
% 0.15/0.45  # ...subsumed                          : 0
% 0.15/0.45  # ...remaining for further processing  : 120
% 0.15/0.45  # Other redundant clauses eliminated   : 0
% 0.15/0.45  # Clauses deleted for lack of memory   : 0
% 0.15/0.45  # Backward-subsumed                    : 13
% 0.15/0.45  # Backward-rewritten                   : 7
% 0.15/0.45  # Generated clauses                    : 70
% 0.15/0.45  # ...of the previous two non-redundant : 64
% 0.15/0.45  # ...aggressively subsumed             : 0
% 0.15/0.45  # Contextual simplify-reflections      : 0
% 0.15/0.45  # Paramodulations                      : 70
% 0.15/0.45  # Factorizations                       : 0
% 0.15/0.45  # NegExts                              : 0
% 0.15/0.45  # Equation resolutions                 : 0
% 0.15/0.45  # Total rewrite steps                  : 13
% 0.15/0.45  # Propositional unsat checks           : 0
% 0.15/0.45  #    Propositional check models        : 0
% 0.15/0.45  #    Propositional check unsatisfiable : 0
% 0.15/0.45  #    Propositional clauses             : 0
% 0.15/0.45  #    Propositional clauses after purity: 0
% 0.15/0.45  #    Propositional unsat core size     : 0
% 0.15/0.45  #    Propositional preprocessing time  : 0.000
% 0.15/0.45  #    Propositional encoding time       : 0.000
% 0.15/0.45  #    Propositional solver time         : 0.000
% 0.15/0.45  #    Success case prop preproc time    : 0.000
% 0.15/0.45  #    Success case prop encoding time   : 0.000
% 0.15/0.45  #    Success case prop solver time     : 0.000
% 0.15/0.45  # Current number of processed clauses  : 69
% 0.15/0.45  #    Positive orientable unit clauses  : 26
% 0.15/0.45  #    Positive unorientable unit clauses: 0
% 0.15/0.45  #    Negative unit clauses             : 1
% 0.15/0.45  #    Non-unit-clauses                  : 42
% 0.15/0.45  # Current number of unprocessed clauses: 6
% 0.15/0.45  # ...number of literals in the above   : 67
% 0.15/0.45  # Current number of archived formulas  : 0
% 0.15/0.45  # Current number of archived clauses   : 51
% 0.15/0.45  # Clause-clause subsumption calls (NU) : 1197
% 0.15/0.45  # Rec. Clause-clause subsumption calls : 176
% 0.15/0.45  # Non-unit clause-clause subsumptions  : 13
% 0.15/0.45  # Unit Clause-clause subsumption calls : 101
% 0.15/0.45  # Rewrite failures with RHS unbound    : 0
% 0.15/0.45  # BW rewrite match attempts            : 7
% 0.15/0.45  # BW rewrite match successes           : 4
% 0.15/0.45  # Condensation attempts                : 0
% 0.15/0.45  # Condensation successes               : 0
% 0.15/0.45  # Termbank termtop insertions          : 5050
% 0.15/0.45  
% 0.15/0.45  # -------------------------------------------------
% 0.15/0.45  # User time                : 0.012 s
% 0.15/0.45  # System time              : 0.001 s
% 0.15/0.45  # Total time               : 0.013 s
% 0.15/0.45  # Maximum resident set size: 1812 pages
% 0.15/0.45  
% 0.15/0.45  # -------------------------------------------------
% 0.15/0.45  # User time                : 0.051 s
% 0.15/0.45  # System time              : 0.005 s
% 0.15/0.45  # Total time               : 0.057 s
% 0.15/0.45  # Maximum resident set size: 1708 pages
% 0.15/0.45  % E---3.1 exiting
%------------------------------------------------------------------------------