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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : SWB084+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 02:39:29 PM UTC 2026

% Result   : Theorem 268.93s 35.21s
% Output   : CNFRefutation 268.93s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   46 (  14 unt;   0 def)
%            Number of atoms       :  262 (  28 equ)
%            Maximal formula atoms :  117 (   5 avg)
%            Number of connectives :  369 ( 153   ~; 157   |;  50   &)
%                                         (   5 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   34 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  11 con; 0-4 aty)
%            Number of variables   :   88 (   0 sgn  36   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_restrict_exactqcr_object_002,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_onClass,X11,X5)
        & iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_qualifiedCardinality,X11,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ( ! [X27,X28,X29] :
                ( ( icext(X5,X29)
                  & iext(X2,X4,X29)
                  & icext(X5,X28)
                  & iext(X2,X4,X28)
                  & icext(X5,X27)
                  & iext(X2,X4,X27) )
               => ( X29 = X28
                  | X29 = X27 ) )
            & ? [X27,X28] :
                ( X27 != X28
                & icext(X5,X28)
                & iext(X2,X4,X28)
                & icext(X5,X27)
                & iext(X2,X4,X27) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_restrict_exactqcr_object_002) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(premise_rdfbased_sem_restrict_exactqcr_inst_obj_two,axiom,
    ( iext(uri_rdf_type,uri_ex_w,uri_ex_z)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_exactqcr_inst_obj_two) ).

fof(conclusion_rdfbased_sem_restrict_exactqcr_inst_obj_two,conjecture,
    ? [X37,X42] :
      ( iext(uri_ex_p,uri_ex_w,X37)
      & iext(uri_ex_p,uri_ex_w,X42)
      & iext(uri_rdf_type,X37,uri_ex_c)
      & iext(uri_owl_differentFrom,X42,X37)
      & iext(uri_rdf_type,X42,uri_ex_c) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_exactqcr_inst_obj_two) ).

fof(owl_eqdis_differentfrom,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_differentfrom) ).

fof(c_0_5,plain,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_onClass,X11,X5)
        & iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_qualifiedCardinality,X11,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ( ! [X27,X28,X29] :
                ( ( icext(X5,X29)
                  & iext(X2,X4,X29)
                  & icext(X5,X28)
                  & iext(X2,X4,X28)
                  & icext(X5,X27)
                  & iext(X2,X4,X27) )
               => ( X29 = X28
                  | X29 = X27 ) )
            & ? [X27,X28] :
                ( X27 != X28
                & icext(X5,X28)
                & iext(X2,X4,X28)
                & icext(X5,X27)
                & iext(X2,X4,X27) ) ) ) ),
    inference(fof_simplification,[status(thm)],[owl_restrict_exactqcr_object_002]) ).

fof(c_0_6,plain,
    ! [X498,X499,X500,X501,X504,X505,X506,X507,X508,X509] :
      ( ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | esk48_4(X498,X499,X500,X507) != esk47_4(X498,X499,X500,X507) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | esk48_4(X498,X499,X500,X507) != esk46_4(X498,X499,X500,X507) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | icext(X500,esk48_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | iext(X499,X507,esk48_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | icext(X500,esk47_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | iext(X499,X507,esk47_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | icext(X500,esk46_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | icext(X498,X507)
        | X508 = X509
        | ~ icext(X500,X509)
        | ~ iext(X499,X507,X509)
        | ~ icext(X500,X508)
        | ~ iext(X499,X507,X508)
        | iext(X499,X507,esk46_4(X498,X499,X500,X507)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | X506 = X505
        | X506 = X504
        | ~ icext(X500,X506)
        | ~ iext(X499,X501,X506)
        | ~ icext(X500,X505)
        | ~ iext(X499,X501,X505)
        | ~ icext(X500,X504)
        | ~ iext(X499,X501,X504) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | esk44_4(X498,X499,X500,X501) != esk45_4(X498,X499,X500,X501) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | icext(X500,esk45_4(X498,X499,X500,X501)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | iext(X499,X501,esk45_4(X498,X499,X500,X501)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | icext(X500,esk44_4(X498,X499,X500,X501)) )
      & ( ~ iext(uri_owl_onClass,X498,X500)
        | ~ iext(uri_owl_onProperty,X498,X499)
        | ~ iext(uri_owl_qualifiedCardinality,X498,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
        | ~ icext(X498,X501)
        | iext(X499,X501,esk44_4(X498,X499,X500,X501)) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])])])])]) ).

fof(c_0_7,plain,
    ! [X49,X50] :
      ( ( iext(uri_rdf_type,X49,X50)
        | ~ icext(X50,X49) )
      & ( icext(X50,X49)
        | ~ iext(uri_rdf_type,X49,X50) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_8,plain,
    ( ~ iext(uri_owl_onClass,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3)
    | ~ iext(uri_owl_qualifiedCardinality,X2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    | ~ icext(X2,X4)
    | icext(X1,esk44_4(X2,X3,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_exactqcr_inst_obj_two]) ).

cnf(c_0_10,plain,
    iext(uri_owl_qualifiedCardinality,uri_ex_z,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_exactqcr_inst_obj_two]) ).

cnf(c_0_11,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_exactqcr_inst_obj_two]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | ~ icext(uri_ex_z,X2)
    | icext(uri_ex_c,esk44_4(uri_ex_z,X1,uri_ex_c,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_14,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    ( ~ iext(uri_owl_onClass,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_qualifiedCardinality,X3,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    | ~ icext(X3,X2)
    | iext(X1,X2,esk44_4(X3,X1,X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_16,plain,
    ( ~ iext(uri_owl_onClass,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3)
    | ~ iext(uri_owl_qualifiedCardinality,X2,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    | ~ icext(X2,X4)
    | icext(X1,esk45_4(X2,X3,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_17,negated_conjecture,
    ~ ? [X37,X42] :
        ( iext(uri_ex_p,uri_ex_w,X37)
        & iext(uri_ex_p,uri_ex_w,X42)
        & iext(uri_rdf_type,X37,uri_ex_c)
        & iext(uri_owl_differentFrom,X42,X37)
        & iext(uri_rdf_type,X42,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_exactqcr_inst_obj_two]) ).

cnf(c_0_18,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | icext(uri_ex_c,esk44_4(uri_ex_z,X1,uri_ex_c,uri_ex_w)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_19,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_exactqcr_inst_obj_two]) ).

cnf(c_0_20,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | ~ icext(uri_ex_z,X2)
    | iext(X1,X2,esk44_4(uri_ex_z,X1,uri_ex_c,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_9]),c_0_10])]) ).

cnf(c_0_21,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | ~ icext(uri_ex_z,X2)
    | icext(uri_ex_c,esk45_4(uri_ex_z,X1,uri_ex_c,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_10])]) ).

cnf(c_0_22,plain,
    ( ~ iext(uri_owl_onClass,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_qualifiedCardinality,X3,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    | ~ icext(X3,X2)
    | iext(X1,X2,esk45_4(X3,X1,X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_23,negated_conjecture,
    ! [X1249,X1250] :
      ( ~ iext(uri_ex_p,uri_ex_w,X1249)
      | ~ iext(uri_ex_p,uri_ex_w,X1250)
      | ~ iext(uri_rdf_type,X1249,uri_ex_c)
      | ~ iext(uri_owl_differentFrom,X1250,X1249)
      | ~ iext(uri_rdf_type,X1250,uri_ex_c) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])]) ).

cnf(c_0_24,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_25,plain,
    icext(uri_ex_c,esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | iext(X1,uri_ex_w,esk44_4(uri_ex_z,X1,uri_ex_c,uri_ex_w)) ),
    inference(spm,[status(thm)],[c_0_20,c_0_14]) ).

cnf(c_0_27,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | icext(uri_ex_c,esk45_4(uri_ex_z,X1,uri_ex_c,uri_ex_w)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_14]) ).

cnf(c_0_28,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | ~ icext(uri_ex_z,X2)
    | iext(X1,X2,esk45_4(uri_ex_z,X1,uri_ex_c,X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_9]),c_0_10])]) ).

cnf(c_0_29,plain,
    ( ~ iext(uri_owl_onClass,X1,X3)
    | ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_qualifiedCardinality,X1,literal_typed(dat_str_2,uri_xsd_nonNegativeInteger))
    | ~ icext(X1,X4)
    | esk44_4(X1,X2,X3,X4) != esk45_4(X1,X2,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ iext(uri_ex_p,uri_ex_w,X2)
    | ~ iext(uri_ex_p,uri_ex_w,X1)
    | ~ iext(uri_rdf_type,X2,uri_ex_c)
    | ~ iext(uri_owl_differentFrom,X1,X2)
    | ~ iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_31,plain,
    iext(uri_rdf_type,esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_32,plain,
    iext(uri_ex_p,uri_ex_w,esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_26,c_0_19]) ).

cnf(c_0_33,plain,
    icext(uri_ex_c,esk45_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_27,c_0_19]) ).

cnf(c_0_34,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | iext(X1,uri_ex_w,esk45_4(uri_ex_z,X1,uri_ex_c,uri_ex_w)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_14]) ).

fof(c_0_35,plain,
    ! [X4,X7] :
      ( iext(uri_owl_differentFrom,X4,X7)
    <=> X4 != X7 ),
    inference(fof_simplification,[status(thm)],[owl_eqdis_differentfrom]) ).

cnf(c_0_36,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | ~ icext(uri_ex_z,X2)
    | esk45_4(uri_ex_z,X1,uri_ex_c,X2) != esk44_4(uri_ex_z,X1,uri_ex_c,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_9]),c_0_10])]) ).

cnf(c_0_37,negated_conjecture,
    ( ~ iext(uri_ex_p,uri_ex_w,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_owl_differentFrom,X1,esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_38,plain,
    iext(uri_rdf_type,esk45_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
    inference(spm,[status(thm)],[c_0_24,c_0_33]) ).

cnf(c_0_39,plain,
    iext(uri_ex_p,uri_ex_w,esk45_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_34,c_0_19]) ).

fof(c_0_40,plain,
    ! [X782,X783] :
      ( ( iext(uri_owl_differentFrom,X782,X783)
        | X782 = X783 )
      & ( X782 != X783
        | ~ iext(uri_owl_differentFrom,X782,X783) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_35])])]) ).

cnf(c_0_41,plain,
    ( ~ iext(uri_owl_onProperty,uri_ex_z,X1)
    | esk45_4(uri_ex_z,X1,uri_ex_c,uri_ex_w) != esk44_4(uri_ex_z,X1,uri_ex_c,uri_ex_w) ),
    inference(spm,[status(thm)],[c_0_36,c_0_14]) ).

cnf(c_0_42,negated_conjecture,
    ~ iext(uri_owl_differentFrom,esk45_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).

cnf(c_0_43,plain,
    ( iext(uri_owl_differentFrom,X1,X2)
    | X1 = X2 ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_44,plain,
    esk45_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w) != esk44_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),
    inference(spm,[status(thm)],[c_0_41,c_0_19]) ).

cnf(c_0_45,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB084+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38  % Computer : n019.cluster.edu
% 0.11/0.38  % Model    : x86_64 x86_64
% 0.11/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38  % Memory   : 8046.5625MB
% 0.11/0.38  % OS       : Linux 6.8.0-71-generic
% 0.11/0.38  % CPULimit : 300
% 0.11/0.38  % WCLimit  : 300
% 0.11/0.38  % DateTime : Mon Sep 21 07:46:05 UTC 2026
% 0.12/0.39  % CPUTime  : 
% 0.12/0.39  Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43  Running first-order theorem proving
% 0.12/0.43  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 268.93/35.21  % Version: 3.5.1
% 268.93/35.21  % Preprocessing class: FSLMSMSLSSSNFFN.
% 268.93/35.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 268.93/35.21  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 268.93/35.21  % Starting new_bool_3 with 600s (2) cores
% 268.93/35.21  % Starting new_bool_1 with 600s (2) cores
% 268.93/35.21  % Starting sh5l with 300s (1) cores
% 268.93/35.21  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2063943 completed with status 0
% 268.93/35.21  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 268.93/35.21  % Preprocessing class: FSLMSMSLSSSNFFN.
% 268.93/35.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 268.93/35.21  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 268.93/35.21  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 268.93/35.21  % No SInE strategy applied
% 268.93/35.21  % Search class: FGHSM-SMLM33-SFFFFFNN
% 268.93/35.21  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 268.93/35.21  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 268.93/35.21  % Starting SubtermCWHack with 82s (1) cores
% 268.93/35.21  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 268.93/35.21  % Starting U----_206e_00_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 82s (1) cores
% 268.93/35.21  % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 2063958 completed with status 0
% 268.93/35.21  % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 268.93/35.21  % Preprocessing class: FSLMSMSLSSSNFFN.
% 268.93/35.21  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 268.93/35.21  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 268.93/35.21  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 268.93/35.21  % No SInE strategy applied
% 268.93/35.21  % Search class: FGHSM-SMLM33-SFFFFFNN
% 268.93/35.21  % partial match(1): FGHSM-SMLM33-DFFFFFNN
% 268.93/35.21  % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 268.93/35.21  % Starting SubtermCWHack with 82s (1) cores
% 268.93/35.21  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 268.93/35.21  % Preprocessing time       : 0.019 s
% 268.93/35.21  
% 268.93/35.21  % Proof found!
% 268.93/35.21  % SZS status Theorem
% 268.93/35.21  % SZS output start CNFRefutation
% See solution above
% 268.93/35.21  % Parsed axioms                        : 560
% 268.93/35.21  % Removed by relevancy pruning/SinE    : 0
% 268.93/35.21  % Initial clauses                      : 1271
% 268.93/35.21  % Removed in clause preprocessing      : 111
% 268.93/35.21  % Initial clauses in saturation        : 1160
% 268.93/35.21  % Processed clauses                    : 54701
% 268.93/35.21  % ...of these trivial                  : 1602
% 268.93/35.21  % ...subsumed                          : 27990
% 268.93/35.21  % ...remaining for further processing  : 25109
% 268.93/35.21  % Other redundant clauses eliminated   : 16
% 268.93/35.21  % Clauses deleted for lack of memory   : 0
% 268.93/35.21  % Backward-subsumed                    : 86
% 268.93/35.21  % Backward-rewritten                   : 109
% 268.93/35.21  % Generated clauses                    : 432163
% 268.93/35.21  % ...of the previous two non-redundant : 400727
% 268.93/35.21  % ...aggressively subsumed             : 0
% 268.93/35.21  % Contextual simplify-reflections      : 96
% 268.93/35.21  % Paramodulations                      : 432145
% 268.93/35.21  % Factorizations                       : 2
% 268.93/35.21  % NegExts                              : 0
% 268.93/35.21  % Equation resolutions                 : 16
% 268.93/35.21  % Disequality decompositions           : 0
% 268.93/35.21  % Total rewrite steps                  : 270597
% 268.93/35.21  % ...of those cached                   : 269089
% 268.93/35.21  % Propositional unsat checks           : 0
% 268.93/35.21  %    Propositional check models        : 0
% 268.93/35.21  %    Propositional check unsatisfiable : 0
% 268.93/35.21  %    Propositional clauses             : 0
% 268.93/35.21  %    Propositional clauses after purity: 0
% 268.93/35.21  %    Propositional unsat core size     : 0
% 268.93/35.21  %    Propositional preprocessing time  : 0.000
% 268.93/35.21  %    Propositional encoding time       : 0.000
% 268.93/35.21  %    Propositional solver time         : 0.000
% 268.93/35.21  %    Success case prop preproc time    : 0.000
% 268.93/35.21  %    Success case prop encoding time   : 0.000
% 268.93/35.21  %    Success case prop solver time     : 0.000
% 268.93/35.21  % Current number of processed clauses  : 24898
% 268.93/35.21  %    Positive orientable unit clauses  : 2400
% 268.93/35.21  %    Positive unorientable unit clauses: 0
% 268.93/35.21  %    Negative unit clauses             : 10
% 268.93/35.21  %    Non-unit-clauses                  : 22488
% 268.93/35.21  % Current number of unprocessed clauses: 321381
% 268.93/35.21  % ...number of literals in the above   : 1731717
% 268.93/35.21  % Current number of archived formulas  : 0
% 268.93/35.21  % Current number of archived clauses   : 196
% 268.93/35.21  % Clause-clause subsumption calls (NU) : 72343029
% 268.93/35.21  % Rec. Clause-clause subsumption calls : 34434352
% 268.93/35.21  % Non-unit clause-clause subsumptions  : 28126
% 268.93/35.21  % Unit Clause-clause subsumption calls : 599628
% 268.93/35.21  % Rewrite failures with RHS unbound    : 0
% 268.93/35.21  % BW rewrite match attempts            : 1646
% 268.93/35.21  % BW rewrite match successes           : 15
% 268.93/35.21  % Condensation attempts                : 0
% 268.93/35.21  % Condensation successes               : 0
% 268.93/35.21  % Termbank termtop insertions          : 9090992
% 268.93/35.21  % Search garbage collected termcells   : 19101
% 268.93/35.21  
% 268.93/35.21  % -------------------------------------------------
% 268.93/35.21  % User time                : 33.431 s
% 268.93/35.21  % System time              : 0.363 s
% 268.93/35.21  % Total time               : 33.794 s
% 268.93/35.21  % Maximum resident set size: 7508 pages
% 268.93/35.21  
% 268.93/35.21  % -------------------------------------------------
% 268.93/35.21  % User time                : 100.309 s
% 268.93/35.21  % System time              : 1.532 s
% 268.93/35.21  % Total time               : 101.841 s
% 268.93/35.21  % Maximum resident set size: 5120 pages
% 268.93/35.21  % E exiting
%------------------------------------------------------------------------------