TSTP Solution File: SWB009+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n005.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 19:37:41 EDT 2023

% Result   : Theorem 0.20s 0.50s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   8 unt;   0 def)
%            Number of atoms       :   74 (   0 equ)
%            Maximal formula atoms :   13 (   2 avg)
%            Number of connectives :   80 (  32   ~;  28   |;  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   :   38 (   0 sgn;  15   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_restrict_somevaluesfrom,axiom,
    ! [X3,X4,X2] :
      ( ( iext(uri_owl_someValuesFrom,X3,X2)
        & iext(uri_owl_onProperty,X3,X4) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> ? [X5] :
              ( iext(X4,X1,X5)
              & icext(X2,X5) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4SNJaSSD/E---3.1_4064.p',owl_restrict_somevaluesfrom) ).

fof(testcase_premise_fullish_009_Existential_Restriction_Entailments,axiom,
    ? [X7] :
      ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
      & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_rdf_type,uri_ex_s,X7)
      & iext(uri_rdf_type,X7,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X7,uri_ex_p)
      & iext(uri_owl_someValuesFrom,X7,uri_ex_c) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4SNJaSSD/E---3.1_4064.p',testcase_premise_fullish_009_Existential_Restriction_Entailments) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4SNJaSSD/E---3.1_4064.p',rdfs_cext_def) ).

fof(testcase_conclusion_fullish_009_Existential_Restriction_Entailments,conjecture,
    ? [X6] :
      ( iext(uri_ex_p,uri_ex_s,X6)
      & iext(uri_rdf_type,X6,uri_ex_c) ),
    file('/export/starexec/sandbox/tmp/tmp.JN4SNJaSSD/E---3.1_4064.p',testcase_conclusion_fullish_009_Existential_Restriction_Entailments) ).

fof(c_0_4,plain,
    ! [X10,X11,X12,X13,X15,X16] :
      ( ( iext(X11,X13,esk1_4(X10,X11,X12,X13))
        | ~ icext(X10,X13)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | ~ iext(uri_owl_onProperty,X10,X11) )
      & ( icext(X12,esk1_4(X10,X11,X12,X13))
        | ~ icext(X10,X13)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | ~ iext(uri_owl_onProperty,X10,X11) )
      & ( ~ iext(X11,X15,X16)
        | ~ icext(X12,X16)
        | icext(X10,X15)
        | ~ iext(uri_owl_someValuesFrom,X10,X12)
        | ~ iext(uri_owl_onProperty,X10,X11) ) ),
    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_restrict_somevaluesfrom])])])])])]) ).

fof(c_0_5,plain,
    ( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
    & iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_rdf_type,uri_ex_s,esk2_0)
    & iext(uri_rdf_type,esk2_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk2_0,uri_ex_p)
    & iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_009_Existential_Restriction_Entailments])]) ).

fof(c_0_6,plain,
    ! [X8,X9] :
      ( ( ~ iext(uri_rdf_type,X8,X9)
        | icext(X9,X8) )
      & ( ~ icext(X9,X8)
        | iext(uri_rdf_type,X8,X9) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_7,plain,
    ( icext(X1,esk1_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_someValuesFrom,X2,X1)
    | ~ iext(uri_owl_onProperty,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    iext(uri_owl_someValuesFrom,esk2_0,uri_ex_c),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    iext(uri_rdf_type,uri_ex_s,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,plain,
    ( icext(uri_ex_c,esk1_4(esk2_0,X1,uri_ex_c,X2))
    | ~ icext(esk2_0,X2)
    | ~ iext(uri_owl_onProperty,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_12,plain,
    icext(esk2_0,uri_ex_s),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

fof(c_0_13,negated_conjecture,
    ~ ? [X6] :
        ( iext(uri_ex_p,uri_ex_s,X6)
        & iext(uri_rdf_type,X6,uri_ex_c) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_009_Existential_Restriction_Entailments]) ).

cnf(c_0_14,plain,
    ( icext(uri_ex_c,esk1_4(esk2_0,X1,uri_ex_c,uri_ex_s))
    | ~ iext(uri_owl_onProperty,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_15,plain,
    iext(uri_owl_onProperty,esk2_0,uri_ex_p),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_16,plain,
    ( iext(X1,X2,esk1_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_someValuesFrom,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_17,negated_conjecture,
    ! [X17] :
      ( ~ iext(uri_ex_p,uri_ex_s,X17)
      | ~ iext(uri_rdf_type,X17,uri_ex_c) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).

cnf(c_0_18,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_19,plain,
    icext(uri_ex_c,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s)),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_20,plain,
    ( iext(X1,X2,esk1_4(esk2_0,X1,uri_ex_c,X2))
    | ~ icext(esk2_0,X2)
    | ~ iext(uri_owl_onProperty,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_8]) ).

cnf(c_0_21,negated_conjecture,
    ( ~ iext(uri_ex_p,uri_ex_s,X1)
    | ~ iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_type,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s),uri_ex_c),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_23,plain,
    ( iext(X1,uri_ex_s,esk1_4(esk2_0,X1,uri_ex_c,uri_ex_s))
    | ~ iext(uri_owl_onProperty,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_12]) ).

cnf(c_0_24,negated_conjecture,
    ~ iext(uri_ex_p,uri_ex_s,esk1_4(esk2_0,uri_ex_p,uri_ex_c,uri_ex_s)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_25,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_24]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWB009+2 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 20:23:16 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.JN4SNJaSSD/E---3.1_4064.p
% 0.20/0.50  # Version: 3.1pre001
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50  # Starting sh5l with 300s (1) cores
% 0.20/0.50  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 4161 completed with status 0
% 0.20/0.50  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FHHNF-FFSM33-SFFFFFNN
% 0.20/0.50  # partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.50  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.50  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.50  # Starting sh5l with 136s (1) cores
% 0.20/0.50  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 4170 completed with status 0
% 0.20/0.50  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.20/0.50  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.20/0.50  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.20/0.50  # No SInE strategy applied
% 0.20/0.50  # Search class: FHHNF-FFSM33-SFFFFFNN
% 0.20/0.50  # partial match(2): FGHNF-FFMM33-SFFFFFNN
% 0.20/0.50  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 811s (1) cores
% 0.20/0.50  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.20/0.50  # Preprocessing time       : 0.001 s
% 0.20/0.50  # Presaturation interreduction done
% 0.20/0.50  
% 0.20/0.50  # Proof found!
% 0.20/0.50  # SZS status Theorem
% 0.20/0.50  # SZS output start CNFRefutation
% See solution above
% 0.20/0.50  # Parsed axioms                        : 4
% 0.20/0.50  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.50  # Initial clauses                      : 12
% 0.20/0.50  # Removed in clause preprocessing      : 0
% 0.20/0.50  # Initial clauses in saturation        : 12
% 0.20/0.50  # Processed clauses                    : 38
% 0.20/0.50  # ...of these trivial                  : 0
% 0.20/0.50  # ...subsumed                          : 0
% 0.20/0.50  # ...remaining for further processing  : 38
% 0.20/0.50  # Other redundant clauses eliminated   : 0
% 0.20/0.50  # Clauses deleted for lack of memory   : 0
% 0.20/0.50  # Backward-subsumed                    : 0
% 0.20/0.50  # Backward-rewritten                   : 0
% 0.20/0.50  # Generated clauses                    : 20
% 0.20/0.50  # ...of the previous two non-redundant : 14
% 0.20/0.50  # ...aggressively subsumed             : 0
% 0.20/0.50  # Contextual simplify-reflections      : 0
% 0.20/0.50  # Paramodulations                      : 20
% 0.20/0.50  # Factorizations                       : 0
% 0.20/0.50  # NegExts                              : 0
% 0.20/0.50  # Equation resolutions                 : 0
% 0.20/0.50  # Total rewrite steps                  : 5
% 0.20/0.50  # Propositional unsat checks           : 0
% 0.20/0.50  #    Propositional check models        : 0
% 0.20/0.50  #    Propositional check unsatisfiable : 0
% 0.20/0.50  #    Propositional clauses             : 0
% 0.20/0.50  #    Propositional clauses after purity: 0
% 0.20/0.50  #    Propositional unsat core size     : 0
% 0.20/0.50  #    Propositional preprocessing time  : 0.000
% 0.20/0.50  #    Propositional encoding time       : 0.000
% 0.20/0.50  #    Propositional solver time         : 0.000
% 0.20/0.50  #    Success case prop preproc time    : 0.000
% 0.20/0.50  #    Success case prop encoding time   : 0.000
% 0.20/0.50  #    Success case prop solver time     : 0.000
% 0.20/0.50  # Current number of processed clauses  : 26
% 0.20/0.50  #    Positive orientable unit clauses  : 12
% 0.20/0.50  #    Positive unorientable unit clauses: 0
% 0.20/0.50  #    Negative unit clauses             : 1
% 0.20/0.50  #    Non-unit-clauses                  : 13
% 0.20/0.50  # Current number of unprocessed clauses: 0
% 0.20/0.50  # ...number of literals in the above   : 0
% 0.20/0.50  # Current number of archived formulas  : 0
% 0.20/0.50  # Current number of archived clauses   : 12
% 0.20/0.50  # Clause-clause subsumption calls (NU) : 8
% 0.20/0.50  # Rec. Clause-clause subsumption calls : 6
% 0.20/0.50  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.50  # Unit Clause-clause subsumption calls : 9
% 0.20/0.50  # Rewrite failures with RHS unbound    : 0
% 0.20/0.50  # BW rewrite match attempts            : 0
% 0.20/0.50  # BW rewrite match successes           : 0
% 0.20/0.50  # Condensation attempts                : 0
% 0.20/0.50  # Condensation successes               : 0
% 0.20/0.50  # Termbank termtop insertions          : 1012
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.003 s
% 0.20/0.50  # System time              : 0.004 s
% 0.20/0.50  # Total time               : 0.007 s
% 0.20/0.50  # Maximum resident set size: 1780 pages
% 0.20/0.50  
% 0.20/0.50  # -------------------------------------------------
% 0.20/0.50  # User time                : 0.018 s
% 0.20/0.50  # System time              : 0.010 s
% 0.20/0.50  # Total time               : 0.028 s
% 0.20/0.50  # Maximum resident set size: 1676 pages
% 0.20/0.50  % E---3.1 exiting
%------------------------------------------------------------------------------