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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWB049+1 : 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 : n013.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 05:17:27 PM UTC 2026

% Result   : Theorem 1.96s 1.95s
% Output   : CNFRefutation 1.96s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   28 (  12 unt;   0 def)
%            Number of atoms       :   82 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :   89 (  35   ~;  34   |;  14   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   51 (   7 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_topobjectproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_topObjectProperty,X4,X7)
    <=> ( ir(X4)
        & ir(X7) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_topobjectproperty_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_ir) ).

fof(owl_char_reflexive,axiom,
    ! [X2] :
      ( icext(uri_owl_ReflexiveProperty,X2)
    <=> ( ip(X2)
        & ! [X4] : iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_char_reflexive) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',simple_iext_property) ).

fof(owl_eqdis_equivalentproperty,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_equivalentProperty,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ( iext(X33,X4,X7)
          <=> iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_eqdis_equivalentproperty) ).

fof(conclusion_rdfbased_sem_char_reflexive_ext,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).

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_char_reflexive_ext,axiom,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).

fof(c_0_8,plain,
    ! [X1215,X1216] :
      ( ( ir(X1215)
        | ~ iext(uri_owl_topObjectProperty,X1215,X1216) )
      & ( ir(X1216)
        | ~ iext(uri_owl_topObjectProperty,X1215,X1216) )
      & ( ~ ir(X1215)
        | ~ ir(X1216)
        | iext(uri_owl_topObjectProperty,X1215,X1216) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_topobjectproperty_ext])])]) ).

fof(c_0_9,plain,
    ! [X1018] : ir(X1018),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_10,plain,
    ! [X2023,X2024,X2025] :
      ( ( ip(X2023)
        | ~ icext(uri_owl_ReflexiveProperty,X2023) )
      & ( iext(X2023,X2024,X2024)
        | ~ icext(uri_owl_ReflexiveProperty,X2023) )
      & ( ~ ip(X2025)
        | ~ iext(X2025,esk170_1(X2025),esk170_1(X2025))
        | icext(uri_owl_ReflexiveProperty,X2025) ) ),
    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_char_reflexive])])])])])]) ).

fof(c_0_11,plain,
    ! [X1015,X1016,X1017] :
      ( ~ iext(X1016,X1015,X1017)
      | ip(X1016) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])]) ).

fof(c_0_12,plain,
    ! [X1794,X1795,X1796,X1797,X1798,X1799,X1800,X1801] :
      ( ( ip(X1794)
        | ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
      & ( ip(X1795)
        | ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
      & ( ~ iext(X1794,X1796,X1797)
        | iext(X1795,X1796,X1797)
        | ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
      & ( ~ iext(X1795,X1798,X1799)
        | iext(X1794,X1798,X1799)
        | ~ iext(uri_owl_equivalentProperty,X1794,X1795) )
      & ( ~ iext(X1800,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
        | ~ iext(X1801,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
        | ~ ip(X1800)
        | ~ ip(X1801)
        | iext(uri_owl_equivalentProperty,X1800,X1801) )
      & ( iext(X1800,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
        | iext(X1801,esk117_2(X1800,X1801),esk118_2(X1800,X1801))
        | ~ ip(X1800)
        | ~ ip(X1801)
        | iext(uri_owl_equivalentProperty,X1800,X1801) ) ),
    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_equivalentproperty])])])])])]) ).

cnf(c_0_13,plain,
    ( iext(uri_owl_topObjectProperty,X1,X2)
    | ~ ir(X1)
    | ~ ir(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

fof(c_0_15,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_reflexive_ext])]) ).

fof(c_0_16,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_17,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ ip(X1)
    | ~ iext(X1,esk170_1(X1),esk170_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_equivalentProperty,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_reflexive_ext]) ).

cnf(c_0_21,plain,
    iext(uri_owl_topObjectProperty,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]) ).

cnf(c_0_22,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_23,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_24,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ iext(X1,esk170_1(X1),esk170_1(X1)) ),
    inference(csr,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_25,plain,
    iext(uri_ex_p,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).

cnf(c_0_26,negated_conjecture,
    ~ icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SWB049+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.13  % 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
% 0.15/0.34  % Computer : n013.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 04:11:26 EDT 2026
% 0.15/0.34  % CPUTime    : 
% 0.15/0.35  % start to proof: theBenchmark
% 1.96/1.95  % Version  : CSE_E---1.7
% 1.96/1.95  % Problem  : theBenchmark.p
% 1.96/1.95  % SZS status Theorem for theBenchmark.p
% 1.96/1.95  % SZS output start CNFRefutation
% See solution above
% 1.96/1.95  % Total time : 1.477s
%------------------------------------------------------------------------------