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E---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E---3.5.1
% Problem  : SWB009+2 : 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 : n002.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 02:37:57 PM UTC 2026

% Result   : Theorem 0.11s 0.43s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (   4 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :   90 (  38   ~;  32   |;  17   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-4 aty)
%            Number of variables   :   40 (   0 sgn  15   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
    ? [X6] :
      ( iext(uri_rdf_type,X6,uri_ex_c)
      & iext(uri_ex_p,uri_ex_s,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(owl_restrict_somevaluesfrom,axiom,
    ! [X3,X4,X2] :
      ( ( iext(uri_owl_onProperty,X3,X4)
        & iext(uri_owl_someValuesFrom,X3,X2) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X5] :
              ( icext(X2,X5)
              & iext(X4,X1,X5) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).

fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
    ? [X7] :
      ( iext(uri_owl_someValuesFrom,X7,uri_ex_c)
      & iext(uri_owl_onProperty,X7,uri_ex_p)
      & iext(uri_rdf_type,X7,uri_owl_Restriction)
      & iext(uri_rdf_type,uri_ex_s,X7)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(c_0_4,negated_conjecture,
    ~ ? [X6] :
        ( iext(uri_rdf_type,X6,uri_ex_c)
        & iext(uri_ex_p,uri_ex_s,X6) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

fof(c_0_5,negated_conjecture,
    ! [X17] :
      ( ~ iext(uri_rdf_type,X17,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_s,X17) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).

fof(c_0_6,plain,
    ! [X10,X11,X12,X13,X15,X16] :
      ( ( ~ iext(uri_owl_onProperty,X10,X11)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | icext(X10,X15)
        | ~ icext(X12,X16)
        | ~ iext(X11,X15,X16) )
      & ( ~ iext(uri_owl_onProperty,X10,X11)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | ~ icext(X10,X13)
        | icext(X12,esk1_4(X10,X11,X12,X13)) )
      & ( ~ iext(uri_owl_onProperty,X10,X11)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | ~ icext(X10,X13)
        | iext(X11,X13,esk1_4(X10,X11,X12,X13)) ) ),
    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_restrict_somevaluesfrom])])])])])])]) ).

fof(c_0_7,plain,
    ! [X8,X9] :
      ( ( iext(uri_rdf_type,X8,X9)
        | ~ icext(X9,X8) )
      & ( icext(X9,X8)
        | ~ iext(uri_rdf_type,X8,X9) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_8,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_s,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ icext(X3,X2)
    | iext(X1,X2,esk1_4(X3,X1,X4,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( ~ icext(X1,X2)
    | iext(uri_rdf_type,X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( ~ iext(uri_owl_onProperty,X2,X3)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ icext(X2,X4)
    | icext(X1,esk1_4(X2,X3,X1,X4)) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    ( ~ iext(uri_owl_someValuesFrom,X1,X2)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ iext(uri_rdf_type,esk1_4(X1,uri_ex_p,X2,uri_ex_s),uri_ex_c)
    | ~ icext(X1,uri_ex_s) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    ( ~ iext(uri_owl_onProperty,X1,X2)
    | ~ iext(uri_owl_someValuesFrom,X1,X3)
    | ~ icext(X1,X4)
    | iext(uri_rdf_type,esk1_4(X1,X2,X3,X4),X3) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    ( ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p)
    | ~ icext(X1,uri_ex_s) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    ( ~ iext(uri_rdf_type,X1,X2)
    | icext(X2,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_16,plain,
    ( iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c)
    & iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_rdf_type,uri_ex_s,esk2_0)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).

cnf(c_0_17,negated_conjecture,
    ( ~ iext(uri_rdf_type,uri_ex_s,X1)
    | ~ iext(uri_owl_someValuesFrom,X1,uri_ex_c)
    | ~ iext(uri_owl_onProperty,X1,uri_ex_p) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    iext(uri_owl_onProperty,esk2_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_19,plain,
    iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_20,plain,
    iext(uri_rdf_type,uri_ex_s,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB009+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.36  % Computer : n002.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Mon Sep 21 07:40:46 UTC 2026
% 0.11/0.36  % CPUTime  : 
% 0.11/0.36  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41  Running first-order theorem proving
% 0.11/0.41  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
% 0.11/0.43  % Version: 3.5.1
% 0.11/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.43  % Starting new_bool_3 with 300s (1) cores
% 0.11/0.43  % Starting new_bool_1 with 300s (1) cores
% 0.11/0.43  % Starting sh5l with 300s (1) cores
% 0.11/0.43  % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2783451 completed with status 0
% 0.11/0.43  % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.11/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.43  % No SInE strategy applied
% 0.11/0.43  % Search class: FHHNF-FFSM33-SFFFFFNN
% 0.11/0.43  % partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.11/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.11/0.43  % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S059I with 136s (1) cores
% 0.11/0.43  % Starting new_bool_3 with 136s (1) cores
% 0.11/0.43  % Starting new_bool_1 with 136s (1) cores
% 0.11/0.43  % SubtermCWHack with pid 2783457 completed with status 0
% 0.11/0.43  % Result found by SubtermCWHack
% 0.11/0.43  % Preprocessing class: FSMSSMSMSSSNFFN.
% 0.11/0.43  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.43  % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.11/0.43  % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.43  % No SInE strategy applied
% 0.11/0.43  % Search class: FHHNF-FFSM33-SFFFFFNN
% 0.11/0.43  % partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.11/0.43  % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.43  % Starting SubtermCWHack with 136s (1) cores
% 0.11/0.43  % Preprocessing time       : 0.001 s
% 0.11/0.43  
% 0.11/0.43  % Proof found!
% 0.11/0.43  % SZS status Theorem
% 0.11/0.43  % SZS output start CNFRefutation
% See solution above
% 0.11/0.43  % Parsed axioms                        : 4
% 0.11/0.43  % Removed by relevancy pruning/SinE    : 0
% 0.11/0.43  % Initial clauses                      : 12
% 0.11/0.43  % Removed in clause preprocessing      : 0
% 0.11/0.43  % Initial clauses in saturation        : 12
% 0.11/0.43  % Processed clauses                    : 18
% 0.11/0.43  % ...of these trivial                  : 0
% 0.11/0.43  % ...subsumed                          : 0
% 0.11/0.43  % ...remaining for further processing  : 18
% 0.11/0.43  % Other redundant clauses eliminated   : 0
% 0.11/0.43  % Clauses deleted for lack of memory   : 0
% 0.11/0.43  % Backward-subsumed                    : 0
% 0.11/0.43  % Backward-rewritten                   : 0
% 0.11/0.43  % Generated clauses                    : 11
% 0.11/0.43  % ...of the previous two non-redundant : 9
% 0.11/0.43  % ...aggressively subsumed             : 0
% 0.11/0.43  % Contextual simplify-reflections      : 0
% 0.11/0.43  % Paramodulations                      : 11
% 0.11/0.43  % Factorizations                       : 0
% 0.11/0.43  % NegExts                              : 0
% 0.11/0.43  % Equation resolutions                 : 0
% 0.11/0.43  % Disequality decompositions           : 0
% 0.11/0.43  % Total rewrite steps                  : 2
% 0.11/0.43  % ...of those cached                   : 0
% 0.11/0.43  % Propositional unsat checks           : 0
% 0.11/0.43  %    Propositional check models        : 0
% 0.11/0.43  %    Propositional check unsatisfiable : 0
% 0.11/0.43  %    Propositional clauses             : 0
% 0.11/0.43  %    Propositional clauses after purity: 0
% 0.11/0.43  %    Propositional unsat core size     : 0
% 0.11/0.43  %    Propositional preprocessing time  : 0.000
% 0.11/0.43  %    Propositional encoding time       : 0.000
% 0.11/0.43  %    Propositional solver time         : 0.000
% 0.11/0.43  %    Success case prop preproc time    : 0.000
% 0.11/0.43  %    Success case prop encoding time   : 0.000
% 0.11/0.43  %    Success case prop solver time     : 0.000
% 0.11/0.43  % Current number of processed clauses  : 18
% 0.11/0.43  %    Positive orientable unit clauses  : 6
% 0.11/0.43  %    Positive unorientable unit clauses: 0
% 0.11/0.43  %    Negative unit clauses             : 0
% 0.11/0.43  %    Non-unit-clauses                  : 12
% 0.11/0.43  % Current number of unprocessed clauses: 3
% 0.11/0.43  % ...number of literals in the above   : 18
% 0.11/0.43  % Current number of archived formulas  : 0
% 0.11/0.43  % Current number of archived clauses   : 0
% 0.11/0.43  % Clause-clause subsumption calls (NU) : 23
% 0.11/0.43  % Rec. Clause-clause subsumption calls : 7
% 0.11/0.43  % Non-unit clause-clause subsumptions  : 0
% 0.11/0.43  % Unit Clause-clause subsumption calls : 0
% 0.11/0.43  % Rewrite failures with RHS unbound    : 0
% 0.11/0.43  % BW rewrite match attempts            : 0
% 0.11/0.43  % BW rewrite match successes           : 0
% 0.11/0.43  % Condensation attempts                : 0
% 0.11/0.43  % Condensation successes               : 0
% 0.11/0.43  % Termbank termtop insertions          : 962
% 0.11/0.43  % Search garbage collected termcells   : 148
% 0.11/0.43  
% 0.11/0.43  % -------------------------------------------------
% 0.11/0.43  % User time                : 0.002 s
% 0.11/0.43  % System time              : 0.005 s
% 0.11/0.43  % Total time               : 0.007 s
% 0.11/0.43  % Maximum resident set size: 3380 pages
% 0.11/0.43  
% 0.11/0.43  % -------------------------------------------------
% 0.11/0.43  % User time                : 0.008 s
% 0.11/0.43  % System time              : 0.012 s
% 0.11/0.43  % Total time               : 0.021 s
% 0.11/0.43  % Maximum resident set size: 4608 pages
% 0.11/0.43  % E exiting
%------------------------------------------------------------------------------