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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n009.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 02:38:35 PM UTC 2026

% Result   : Theorem 0.24s 0.59s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  12 unt;   0 def)
%            Number of atoms       :   79 (  13 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :   91 (  37   ~;  35   |;  14   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_rest,X12,uri_rdf_nil)
        & iext(uri_rdf_first,X12,X21) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 )
          & ic(X11) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(premise_rdfbased_sem_eqdis_sameas_ext,axiom,
    ? [X42,X37] :
      ( iext(uri_rdf_type,uri_ex_w,X37)
      & iext(uri_owl_oneOf,X37,X42)
      & iext(uri_rdf_rest,X42,uri_rdf_nil)
      & iext(uri_rdf_first,X42,uri_ex_u) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_sameas_ext) ).

fof(conclusion_rdfbased_sem_eqdis_sameas_ext,conjecture,
    iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_sameas_ext) ).

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_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(c_0_5,plain,
    ! [X60,X61,X62,X63,X64] :
      ( ( ~ iext(uri_rdf_rest,X61,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X61,X62)
        | iext(uri_owl_oneOf,X60,X61)
        | ~ ic(X60)
        | esk4_3(X60,X61,X62) = X62
        | icext(X60,esk4_3(X60,X61,X62)) )
      & ( ~ iext(uri_rdf_rest,X61,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X61,X62)
        | iext(uri_owl_oneOf,X60,X61)
        | ~ ic(X60)
        | esk4_3(X60,X61,X62) != X62
        | ~ icext(X60,esk4_3(X60,X61,X62)) )
      & ( ~ iext(uri_rdf_rest,X61,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X61,X62)
        | ~ iext(uri_owl_oneOf,X60,X61)
        | icext(X60,X64)
        | X64 != X62 )
      & ( ~ iext(uri_rdf_rest,X61,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X61,X62)
        | ~ iext(uri_owl_oneOf,X60,X61)
        | X63 = X62
        | ~ icext(X60,X63) )
      & ( ~ iext(uri_rdf_rest,X61,uri_rdf_nil)
        | ~ iext(uri_rdf_first,X61,X62)
        | ~ iext(uri_owl_oneOf,X60,X61)
        | ic(X60) ) ),
    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)],[owl_enum_class_001])])])])])])]) ).

fof(c_0_6,plain,
    ( iext(uri_rdf_type,uri_ex_w,esk2_0)
    & iext(uri_owl_oneOf,esk2_0,esk1_0)
    & iext(uri_rdf_rest,esk1_0,uri_rdf_nil)
    & iext(uri_rdf_first,esk1_0,uri_ex_u) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[premise_rdfbased_sem_eqdis_sameas_ext])]) ).

fof(c_0_7,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_eqdis_sameas_ext]) ).

cnf(c_0_8,plain,
    ( ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_owl_oneOf,X1,X4)
    | ~ icext(X1,X2)
    | X2 = X3 ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    iext(uri_rdf_first,esk1_0,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_rest,esk1_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,plain,
    ! [X50,X51] :
      ( ( iext(uri_rdf_type,X50,X51)
        | ~ icext(X51,X50) )
      & ( icext(X51,X50)
        | ~ iext(uri_rdf_type,X50,X51) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

fof(c_0_12,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_owl_oneOf,X2,esk1_0)
    | ~ icext(X2,X1)
    | X1 = uri_ex_u ),
    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,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

fof(c_0_15,plain,
    ! [X47,X48] :
      ( ( iext(uri_owl_sameAs,X47,X48)
        | X47 != X48 )
      & ( X47 = X48
        | ~ iext(uri_owl_sameAs,X47,X48) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])]) ).

fof(c_0_16,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(fof_nnf,[status(thm)],[c_0_12]) ).

cnf(c_0_17,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | ~ iext(uri_owl_oneOf,X2,esk1_0)
    | X1 = uri_ex_u ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    iext(uri_rdf_type,uri_ex_w,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    iext(uri_owl_oneOf,esk2_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_20,plain,
    ( X1 != X2
    | iext(uri_owl_sameAs,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_21,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,plain,
    uri_ex_u = uri_ex_w,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_23,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : SWB065+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.45  % Computer : n009.cluster.edu
% 0.17/0.45  % Model    : x86_64 x86_64
% 0.17/0.45  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45  % Memory   : 8046.5625MB
% 0.17/0.45  % OS       : Linux 6.8.0-71-generic
% 0.17/0.45  % CPULimit : 300
% 0.17/0.45  % WCLimit  : 300
% 0.17/0.45  % DateTime : Mon Sep 21 07:45:12 UTC 2026
% 0.17/0.45  % CPUTime  : 
% 0.17/0.45  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.52  Running first-order theorem proving
% 0.24/0.52  Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 0.24/0.59  % Version: 3.5.1
% 0.24/0.59  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.59  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.59  % Starting new_bool_1 with 600s (2) cores
% 0.24/0.59  % Starting sh5l with 300s (1) cores
% 0.24/0.59  % new_bool_3 with pid 1235681 completed with status 0
% 0.24/0.59  % Result found by new_bool_3
% 0.24/0.59  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.59  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.59  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59  % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.24/0.59  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.24/0.59  % Starting SubtermCWHack with 61s (1) cores
% 0.24/0.59  % Starting G-E--_301_C18_F1_URBAN_S0Y with 361s (1) cores
% 0.24/0.59  % SubtermCWHack with pid 1235684 completed with status 0
% 0.24/0.59  % Result found by SubtermCWHack
% 0.24/0.59  % Preprocessing class: FSLMSMSLSSSNFFN.
% 0.24/0.59  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.59  % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.24/0.59  % Starting new_bool_3 with 600s (2) cores
% 0.24/0.59  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.59  % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.59  % Search class: FGHSF-FFMM33-SFFFFFNN
% 0.24/0.59  % Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.24/0.59  % Starting SubtermCWHack with 61s (1) cores
% 0.24/0.59  % Preprocessing time       : 0.002 s
% 0.24/0.59  
% 0.24/0.59  % Proof found!
% 0.24/0.59  % SZS status Theorem
% 0.24/0.59  % SZS output start CNFRefutation
% See solution above
% 0.24/0.59  % Parsed axioms                        : 560
% 0.24/0.59  % Removed by relevancy pruning/SinE    : 508
% 0.24/0.59  % Initial clauses                      : 93
% 0.24/0.59  % Removed in clause preprocessing      : 0
% 0.24/0.59  % Initial clauses in saturation        : 93
% 0.24/0.59  % Processed clauses                    : 230
% 0.24/0.59  % ...of these trivial                  : 17
% 0.24/0.59  % ...subsumed                          : 60
% 0.24/0.59  % ...remaining for further processing  : 153
% 0.24/0.59  % Other redundant clauses eliminated   : 3
% 0.24/0.59  % Clauses deleted for lack of memory   : 0
% 0.24/0.59  % Backward-subsumed                    : 1
% 0.24/0.59  % Backward-rewritten                   : 32
% 0.24/0.59  % Generated clauses                    : 316
% 0.24/0.59  % ...of the previous two non-redundant : 234
% 0.24/0.59  % ...aggressively subsumed             : 0
% 0.24/0.59  % Contextual simplify-reflections      : 1
% 0.24/0.59  % Paramodulations                      : 313
% 0.24/0.59  % Factorizations                       : 0
% 0.24/0.59  % NegExts                              : 0
% 0.24/0.59  % Equation resolutions                 : 3
% 0.24/0.59  % Disequality decompositions           : 0
% 0.24/0.59  % Total rewrite steps                  : 190
% 0.24/0.59  % ...of those cached                   : 142
% 0.24/0.59  % Propositional unsat checks           : 0
% 0.24/0.59  %    Propositional check models        : 0
% 0.24/0.59  %    Propositional check unsatisfiable : 0
% 0.24/0.59  %    Propositional clauses             : 0
% 0.24/0.59  %    Propositional clauses after purity: 0
% 0.24/0.59  %    Propositional unsat core size     : 0
% 0.24/0.59  %    Propositional preprocessing time  : 0.000
% 0.24/0.59  %    Propositional encoding time       : 0.000
% 0.24/0.59  %    Propositional solver time         : 0.000
% 0.24/0.59  %    Success case prop preproc time    : 0.000
% 0.24/0.59  %    Success case prop encoding time   : 0.000
% 0.24/0.59  %    Success case prop solver time     : 0.000
% 0.24/0.59  % Current number of processed clauses  : 117
% 0.24/0.59  %    Positive orientable unit clauses  : 55
% 0.24/0.59  %    Positive unorientable unit clauses: 0
% 0.24/0.59  %    Negative unit clauses             : 4
% 0.24/0.59  %    Non-unit-clauses                  : 58
% 0.24/0.59  % Current number of unprocessed clauses: 69
% 0.24/0.59  % ...number of literals in the above   : 345
% 0.24/0.59  % Current number of archived formulas  : 0
% 0.24/0.59  % Current number of archived clauses   : 33
% 0.24/0.59  % Clause-clause subsumption calls (NU) : 1401
% 0.24/0.59  % Rec. Clause-clause subsumption calls : 986
% 0.24/0.59  % Non-unit clause-clause subsumptions  : 37
% 0.24/0.59  % Unit Clause-clause subsumption calls : 82
% 0.24/0.59  % Rewrite failures with RHS unbound    : 0
% 0.24/0.59  % BW rewrite match attempts            : 15
% 0.24/0.59  % BW rewrite match successes           : 2
% 0.24/0.59  % Condensation attempts                : 0
% 0.24/0.59  % Condensation successes               : 0
% 0.24/0.59  % Termbank termtop insertions          : 15692
% 0.24/0.59  % Search garbage collected termcells   : 3992
% 0.24/0.59  
% 0.24/0.59  % -------------------------------------------------
% 0.24/0.59  % User time                : 0.017 s
% 0.24/0.59  % System time              : 0.007 s
% 0.24/0.59  % Total time               : 0.024 s
% 0.24/0.59  % Maximum resident set size: 4436 pages
% 0.24/0.59  
% 0.24/0.59  % -------------------------------------------------
% 0.24/0.59  % User time                : 0.047 s
% 0.24/0.59  % System time              : 0.017 s
% 0.24/0.59  % Total time               : 0.063 s
% 0.24/0.59  % Maximum resident set size: 5120 pages
% 0.24/0.59  % E exiting
%------------------------------------------------------------------------------