↑ Up

CSE_E---1.7.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB032+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n009.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 05:17:21 PM UTC 2026

% Result   : Theorem 6.42s 4.51s
% Output   : CNFRefutation 6.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (  21 unt;   0 def)
%            Number of atoms       :  245 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  257 (  98   ~; 111   |;  33   &)
%                                         (   7 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  13 con; 0-2 aty)
%            Number of variables   :   97 (   5 sgn  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_class_nothing_ext,axiom,
    ! [X4] : ~ icext(uri_owl_Nothing,X4),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_ext) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X13,X15] :
      ( iext(uri_owl_equivalentClass,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
          <=> icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentclass) ).

fof(owl_rdfsext_range,axiom,
    ! [X2,X5] :
      ( iext(uri_rdfs_range,X2,X5)
    <=> ( ip(X2)
        & ip(X5)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_range) ).

fof(owl_class_nothing_type,axiom,
    ic(uri_owl_Nothing),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_class_nothing_type) ).

fof(owl_parts_idc_cond_set,axiom,
    ! [X4] :
      ( idc(X4)
     => ic(X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_parts_idc_cond_set) ).

fof(rdfs_type_range,axiom,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_type_range) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(owl_dat_dtype_string_type,axiom,
    idc(uri_xsd_string),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_string_type) ).

fof(owl_prop_equivalentclass_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_equivalentClass,X4,X7)
     => ( ic(X4)
        & ic(X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_prop_equivalentclass_ext) ).

fof(rdfs_ic_def,axiom,
    ! [X4] :
      ( ic(X4)
    <=> icext(uri_rdfs_Class,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_ic_def) ).

fof(owl_dat_dtype_decimal_type,axiom,
    idc(uri_xsd_decimal),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_decimal_type) ).

fof(owl_eqdis_disjointwith,axiom,
    ! [X13,X15] :
      ( iext(uri_owl_disjointWith,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ~ ( icext(X13,X4)
              & icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_disjointwith) ).

fof(owl_dat_dtype_relation_subtype_rational_real,axiom,
    ! [X4] :
      ( icext(uri_owl_rational,X4)
     => icext(uri_owl_real,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_relation_subtype_rational_real) ).

fof(owl_dat_dtype_relation_subtype_decimal_rational,axiom,
    ! [X4] :
      ( icext(uri_xsd_decimal,X4)
     => icext(uri_owl_rational,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_relation_subtype_decimal_rational) ).

fof(owl_dat_dtype_integer_type,axiom,
    idc(uri_xsd_integer),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_integer_type) ).

fof(owl_dat_dtype_relation_disjoint_plainliteral_real,axiom,
    ! [X4] :
      ~ ( icext(uri_rdf_PlainLiteral,X4)
        & icext(uri_owl_real,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_relation_disjoint_plainliteral_real) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(testcase_conclusion_fullish_032_Datatype_Relationships,conjecture,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_032_Datatype_Relationships) ).

fof(owl_dat_dtype_relation_subtype_string_plainliteral,axiom,
    ! [X4] :
      ( icext(uri_xsd_string,X4)
     => icext(uri_rdf_PlainLiteral,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_relation_subtype_string_plainliteral) ).

fof(owl_dat_dtype_relation_subtype_integer_decimal,axiom,
    ! [X4] :
      ( icext(uri_xsd_integer,X4)
     => icext(uri_xsd_decimal,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_dat_dtype_relation_subtype_integer_decimal) ).

fof(c_0_20,plain,
    ! [X4] : ~ icext(uri_owl_Nothing,X4),
    inference(fof_simplification,[status(thm)],[owl_class_nothing_ext]) ).

fof(c_0_21,plain,
    ! [X1787,X1788,X1789,X1790,X1791,X1792] :
      ( ( ic(X1787)
        | ~ iext(uri_owl_equivalentClass,X1787,X1788) )
      & ( ic(X1788)
        | ~ iext(uri_owl_equivalentClass,X1787,X1788) )
      & ( ~ icext(X1787,X1789)
        | icext(X1788,X1789)
        | ~ iext(uri_owl_equivalentClass,X1787,X1788) )
      & ( ~ icext(X1788,X1790)
        | icext(X1787,X1790)
        | ~ iext(uri_owl_equivalentClass,X1787,X1788) )
      & ( ~ icext(X1791,esk116_2(X1791,X1792))
        | ~ icext(X1792,esk116_2(X1791,X1792))
        | ~ ic(X1791)
        | ~ ic(X1792)
        | iext(uri_owl_equivalentClass,X1791,X1792) )
      & ( icext(X1791,esk116_2(X1791,X1792))
        | icext(X1792,esk116_2(X1791,X1792))
        | ~ ic(X1791)
        | ~ ic(X1792)
        | iext(uri_owl_equivalentClass,X1791,X1792) ) ),
    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_eqdis_equivalentclass])])])])])]) ).

fof(c_0_22,plain,
    ! [X1106] : ~ icext(uri_owl_Nothing,X1106),
    inference(variable_rename,[status(thm)],[c_0_20]) ).

fof(c_0_23,plain,
    ! [X1732,X1733,X1734,X1735,X1736,X1737] :
      ( ( ip(X1732)
        | ~ iext(uri_rdfs_range,X1732,X1733) )
      & ( ip(X1733)
        | ~ iext(uri_rdfs_range,X1732,X1733) )
      & ( ~ iext(X1732,X1734,X1735)
        | icext(X1733,X1735)
        | ~ iext(uri_rdfs_range,X1732,X1733) )
      & ( iext(X1736,esk107_2(X1736,X1737),esk108_2(X1736,X1737))
        | ~ ip(X1736)
        | ~ ip(X1737)
        | iext(uri_rdfs_range,X1736,X1737) )
      & ( ~ icext(X1737,esk108_2(X1736,X1737))
        | ~ ip(X1736)
        | ~ ip(X1737)
        | iext(uri_rdfs_range,X1736,X1737) ) ),
    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_rdfsext_range])])])])])]) ).

cnf(c_0_24,plain,
    ( icext(X1,esk116_2(X1,X2))
    | icext(X2,esk116_2(X1,X2))
    | iext(uri_owl_equivalentClass,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_25,plain,
    ic(uri_owl_Nothing),
    inference(split_conjunct,[status(thm)],[owl_class_nothing_type]) ).

cnf(c_0_26,plain,
    ~ icext(uri_owl_Nothing,X1),
    inference(split_conjunct,[status(thm)],[c_0_22]) ).

fof(c_0_27,plain,
    ! [X1058] :
      ( ~ idc(X1058)
      | ic(X1058) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_parts_idc_cond_set])]) ).

cnf(c_0_28,plain,
    ( icext(X4,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_range,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_29,plain,
    iext(uri_rdfs_range,uri_rdf_type,uri_rdfs_Class),
    inference(split_conjunct,[status(thm)],[rdfs_type_range]) ).

fof(c_0_30,plain,
    ! [X1021,X1022] :
      ( ( ~ iext(uri_rdf_type,X1021,X1022)
        | icext(X1022,X1021) )
      & ( ~ icext(X1022,X1021)
        | iext(uri_rdf_type,X1021,X1022) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_31,plain,
    ( icext(X1,esk116_2(X1,uri_owl_Nothing))
    | iext(uri_owl_equivalentClass,X1,uri_owl_Nothing)
    | ~ ic(X1) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).

cnf(c_0_32,plain,
    ( ic(X1)
    | ~ idc(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

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

cnf(c_0_34,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_30]) ).

cnf(c_0_35,plain,
    ( icext(X1,esk116_2(X1,uri_owl_Nothing))
    | iext(uri_owl_equivalentClass,X1,uri_owl_Nothing)
    | ~ idc(X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,plain,
    idc(uri_xsd_string),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_string_type]) ).

fof(c_0_37,plain,
    ! [X1151,X1152] :
      ( ( ic(X1151)
        | ~ iext(uri_owl_equivalentClass,X1151,X1152) )
      & ( ic(X1152)
        | ~ iext(uri_owl_equivalentClass,X1151,X1152) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_equivalentclass_ext])])]) ).

cnf(c_0_38,plain,
    ( icext(uri_rdfs_Class,X1)
    | ~ icext(X1,X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_39,plain,
    ( icext(uri_xsd_string,esk116_2(uri_xsd_string,uri_owl_Nothing))
    | iext(uri_owl_equivalentClass,uri_xsd_string,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

fof(c_0_40,plain,
    ! [X1030] :
      ( ( ~ ic(X1030)
        | icext(uri_rdfs_Class,X1030) )
      & ( ~ icext(uri_rdfs_Class,X1030)
        | ic(X1030) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_ic_def])]) ).

cnf(c_0_41,plain,
    idc(uri_xsd_decimal),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_decimal_type]) ).

fof(c_0_42,plain,
    ! [X1781,X1782,X1783,X1784,X1785] :
      ( ( ic(X1781)
        | ~ iext(uri_owl_disjointWith,X1781,X1782) )
      & ( ic(X1782)
        | ~ iext(uri_owl_disjointWith,X1781,X1782) )
      & ( ~ icext(X1781,X1783)
        | ~ icext(X1782,X1783)
        | ~ iext(uri_owl_disjointWith,X1781,X1782) )
      & ( icext(X1784,esk115_2(X1784,X1785))
        | ~ ic(X1784)
        | ~ ic(X1785)
        | iext(uri_owl_disjointWith,X1784,X1785) )
      & ( icext(X1785,esk115_2(X1784,X1785))
        | ~ ic(X1784)
        | ~ ic(X1785)
        | iext(uri_owl_disjointWith,X1784,X1785) ) ),
    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_eqdis_disjointwith])])])])])]) ).

cnf(c_0_43,plain,
    ( ic(X1)
    | ~ iext(uri_owl_equivalentClass,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_37]) ).

cnf(c_0_44,plain,
    ( icext(uri_rdfs_Class,uri_xsd_string)
    | iext(uri_owl_equivalentClass,uri_xsd_string,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_45,plain,
    ( ic(X1)
    | ~ icext(uri_rdfs_Class,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_40]) ).

cnf(c_0_46,plain,
    ( icext(uri_xsd_decimal,esk116_2(uri_xsd_decimal,uri_owl_Nothing))
    | iext(uri_owl_equivalentClass,uri_xsd_decimal,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_35,c_0_41]) ).

fof(c_0_47,plain,
    ! [X2195] :
      ( ~ icext(uri_owl_rational,X2195)
      | icext(uri_owl_real,X2195) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_rational_real])]) ).

fof(c_0_48,plain,
    ! [X2182] :
      ( ~ icext(uri_xsd_decimal,X2182)
      | icext(uri_owl_rational,X2182) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_decimal_rational])]) ).

cnf(c_0_49,plain,
    ( icext(X1,esk115_2(X1,X2))
    | iext(uri_owl_disjointWith,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

cnf(c_0_50,plain,
    ic(uri_xsd_string),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]) ).

cnf(c_0_51,plain,
    ( icext(uri_rdfs_Class,uri_xsd_decimal)
    | iext(uri_owl_equivalentClass,uri_xsd_decimal,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_38,c_0_46]) ).

cnf(c_0_52,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_owl_rational,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_47]) ).

cnf(c_0_53,plain,
    ( icext(uri_owl_rational,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_48]) ).

cnf(c_0_54,plain,
    ( icext(X1,esk115_2(X1,uri_xsd_string))
    | iext(uri_owl_disjointWith,X1,uri_xsd_string)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_55,plain,
    ic(uri_xsd_decimal),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_51]),c_0_45]) ).

cnf(c_0_56,plain,
    idc(uri_xsd_integer),
    inference(split_conjunct,[status(thm)],[owl_dat_dtype_integer_type]) ).

cnf(c_0_57,plain,
    ( icext(X1,esk115_2(X2,X1))
    | iext(uri_owl_disjointWith,X2,X1)
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_42]) ).

fof(c_0_58,plain,
    ! [X2177] :
      ( ~ icext(uri_rdf_PlainLiteral,X2177)
      | ~ icext(uri_owl_real,X2177) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_disjoint_plainliteral_real])]) ).

cnf(c_0_59,plain,
    ( icext(uri_owl_real,X1)
    | ~ icext(uri_xsd_decimal,X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_60,plain,
    ( icext(uri_xsd_decimal,esk115_2(uri_xsd_decimal,uri_xsd_string))
    | iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

fof(c_0_61,plain,
    ! [X1740,X1741,X1742,X1743,X1744] :
      ( ( ic(X1740)
        | ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
      & ( ic(X1741)
        | ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
      & ( ~ icext(X1740,X1742)
        | icext(X1741,X1742)
        | ~ iext(uri_rdfs_subClassOf,X1740,X1741) )
      & ( icext(X1743,esk109_2(X1743,X1744))
        | ~ ic(X1743)
        | ~ ic(X1744)
        | iext(uri_rdfs_subClassOf,X1743,X1744) )
      & ( ~ icext(X1744,esk109_2(X1743,X1744))
        | ~ ic(X1743)
        | ~ ic(X1744)
        | iext(uri_rdfs_subClassOf,X1743,X1744) ) ),
    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_rdfsext_subclassof])])])])])]) ).

cnf(c_0_62,plain,
    ( icext(uri_xsd_integer,esk116_2(uri_xsd_integer,uri_owl_Nothing))
    | iext(uri_owl_equivalentClass,uri_xsd_integer,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_35,c_0_56]) ).

fof(c_0_63,negated_conjecture,
    ~ ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
      & iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_032_Datatype_Relationships]) ).

fof(c_0_64,plain,
    ! [X2197] :
      ( ~ icext(uri_xsd_string,X2197)
      | icext(uri_rdf_PlainLiteral,X2197) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_string_plainliteral])]) ).

cnf(c_0_65,plain,
    ( icext(X1,esk115_2(uri_xsd_decimal,X1))
    | iext(uri_owl_disjointWith,uri_xsd_decimal,X1)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_66,plain,
    ( ~ icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_owl_real,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_58]) ).

cnf(c_0_67,plain,
    ( icext(uri_owl_real,esk115_2(uri_xsd_decimal,uri_xsd_string))
    | iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_68,plain,
    ( icext(X1,esk109_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_69,plain,
    ( icext(uri_rdfs_Class,uri_xsd_integer)
    | iext(uri_owl_equivalentClass,uri_xsd_integer,uri_owl_Nothing) ),
    inference(spm,[status(thm)],[c_0_38,c_0_62]) ).

fof(c_0_70,negated_conjecture,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(fof_nnf,[status(thm)],[c_0_63]) ).

cnf(c_0_71,plain,
    ( icext(uri_rdf_PlainLiteral,X1)
    | ~ icext(uri_xsd_string,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_64]) ).

cnf(c_0_72,plain,
    ( icext(uri_xsd_string,esk115_2(uri_xsd_decimal,uri_xsd_string))
    | iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string) ),
    inference(spm,[status(thm)],[c_0_65,c_0_50]) ).

cnf(c_0_73,plain,
    ( iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ icext(uri_rdf_PlainLiteral,esk115_2(uri_xsd_decimal,uri_xsd_string)) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

fof(c_0_74,plain,
    ! [X2184] :
      ( ~ icext(uri_xsd_integer,X2184)
      | icext(uri_xsd_decimal,X2184) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_dat_dtype_relation_subtype_integer_decimal])]) ).

cnf(c_0_75,plain,
    ( icext(X1,esk109_2(X1,uri_xsd_decimal))
    | iext(uri_rdfs_subClassOf,X1,uri_xsd_decimal)
    | ~ ic(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_55]) ).

cnf(c_0_76,plain,
    ic(uri_xsd_integer),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_69]),c_0_45]) ).

cnf(c_0_77,negated_conjecture,
    ( ~ iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string)
    | ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(split_conjunct,[status(thm)],[c_0_70]) ).

cnf(c_0_78,plain,
    iext(uri_owl_disjointWith,uri_xsd_decimal,uri_xsd_string),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_73]) ).

cnf(c_0_79,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk109_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_61]) ).

cnf(c_0_80,plain,
    ( icext(uri_xsd_decimal,X1)
    | ~ icext(uri_xsd_integer,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_74]) ).

cnf(c_0_81,plain,
    ( icext(uri_xsd_integer,esk109_2(uri_xsd_integer,uri_xsd_decimal))
    | iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_82,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_xsd_integer,uri_xsd_decimal),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_78])]) ).

cnf(c_0_83,plain,
    ( iext(uri_rdfs_subClassOf,X1,uri_xsd_decimal)
    | ~ ic(X1)
    | ~ icext(uri_xsd_integer,esk109_2(X1,uri_xsd_decimal)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_55])]) ).

cnf(c_0_84,plain,
    icext(uri_xsd_integer,esk109_2(uri_xsd_integer,uri_xsd_decimal)),
    inference(sr,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,plain,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_76])]),c_0_82]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SWB032+1 : TPTP v9.2.1. Released v5.2.0.
% 0.11/0.13  % Command    : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34  % Computer : n009.cluster.edu
% 0.15/0.34  % Model    : x86_64 x86_64
% 0.15/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34  % Memory   : 8042.1875MB
% 0.15/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34  % CPULimit   : 300
% 0.15/0.34  % WCLimit    : 300
% 0.15/0.34  % DateTime   : Tue May  5 04:10:26 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.20/0.35  % start to proof: theBenchmark
% 6.42/4.51  % Version  : CSE_E---1.7
% 6.42/4.51  % Problem  : theBenchmark.p
% 6.42/4.51  % SZS status Theorem for theBenchmark.p
% 6.42/4.51  % SZS output start CNFRefutation
% See solution above
% 6.42/4.53  % Total time : 3.529s
%------------------------------------------------------------------------------