TSTP Solution File: SWB030+2 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 19:37:08 EDT 2023

% Result   : Unsatisfiable 0.23s 0.55s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   30 (   7 unt;   0 def)
%            Number of atoms       :   91 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   98 (  37   ~;  36   |;  18   &)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :   50 (   2 sgn;  21   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_bool_complementof_class,axiom,
    ! [X3,X2] :
      ( iext(uri_owl_complementOf,X3,X2)
     => ( ic(X3)
        & ic(X2)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X2,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yKt3fjlk20/E---3.1_2408.p',owl_bool_complementof_class) ).

fof(testcase_premise_fullish_030_Bad_Class,axiom,
    ? [X6] :
      ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
      & iext(uri_owl_complementOf,uri_ex_c,X6)
      & iext(uri_rdf_type,X6,uri_owl_Restriction)
      & iext(uri_owl_onProperty,X6,uri_rdf_type)
      & iext(uri_owl_hasSelf,X6,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    file('/export/starexec/sandbox2/tmp/tmp.yKt3fjlk20/E---3.1_2408.p',testcase_premise_fullish_030_Bad_Class) ).

fof(owl_restrict_hasself,axiom,
    ! [X3,X4,X5] :
      ( ( iext(uri_owl_hasSelf,X3,X5)
        & iext(uri_owl_onProperty,X3,X4) )
     => ! [X1] :
          ( icext(X3,X1)
        <=> iext(X4,X1,X1) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yKt3fjlk20/E---3.1_2408.p',owl_restrict_hasself) ).

fof(rdfs_cext_def,axiom,
    ! [X1,X2] :
      ( iext(uri_rdf_type,X1,X2)
    <=> icext(X2,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.yKt3fjlk20/E---3.1_2408.p',rdfs_cext_def) ).

fof(c_0_4,plain,
    ! [X3,X2] :
      ( iext(uri_owl_complementOf,X3,X2)
     => ( ic(X3)
        & ic(X2)
        & ! [X1] :
            ( icext(X3,X1)
          <=> ~ icext(X2,X1) ) ) ),
    inference(fof_simplification,[status(thm)],[owl_bool_complementof_class]) ).

fof(c_0_5,plain,
    ! [X13,X14,X15] :
      ( ( ic(X13)
        | ~ iext(uri_owl_complementOf,X13,X14) )
      & ( ic(X14)
        | ~ iext(uri_owl_complementOf,X13,X14) )
      & ( ~ icext(X13,X15)
        | ~ icext(X14,X15)
        | ~ iext(uri_owl_complementOf,X13,X14) )
      & ( icext(X14,X15)
        | icext(X13,X15)
        | ~ iext(uri_owl_complementOf,X13,X14) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

fof(c_0_6,plain,
    ( iext(uri_rdf_type,uri_ex_c,uri_owl_Class)
    & iext(uri_owl_complementOf,uri_ex_c,esk1_0)
    & iext(uri_rdf_type,esk1_0,uri_owl_Restriction)
    & iext(uri_owl_onProperty,esk1_0,uri_rdf_type)
    & iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_030_Bad_Class])]) ).

fof(c_0_7,plain,
    ! [X9,X10,X11,X12] :
      ( ( ~ icext(X9,X12)
        | iext(X10,X12,X12)
        | ~ iext(uri_owl_hasSelf,X9,X11)
        | ~ iext(uri_owl_onProperty,X9,X10) )
      & ( ~ iext(X10,X12,X12)
        | icext(X9,X12)
        | ~ iext(uri_owl_hasSelf,X9,X11)
        | ~ iext(uri_owl_onProperty,X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_restrict_hasself])])])]) ).

fof(c_0_8,plain,
    ! [X7,X8] :
      ( ( ~ iext(uri_rdf_type,X7,X8)
        | icext(X8,X7) )
      & ( ~ icext(X8,X7)
        | iext(uri_rdf_type,X7,X8) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_9,plain,
    ( icext(X1,X2)
    | icext(X3,X2)
    | ~ iext(uri_owl_complementOf,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

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

cnf(c_0_11,plain,
    ( icext(X3,X2)
    | ~ iext(X1,X2,X2)
    | ~ iext(uri_owl_hasSelf,X3,X4)
    | ~ iext(uri_owl_onProperty,X3,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_owl_hasSelf,esk1_0,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

cnf(c_0_14,plain,
    ( icext(esk1_0,X1)
    | icext(uri_ex_c,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,plain,
    ( icext(esk1_0,X1)
    | ~ iext(uri_owl_onProperty,esk1_0,X2)
    | ~ iext(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,plain,
    iext(uri_owl_onProperty,esk1_0,uri_rdf_type),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_17,plain,
    ( icext(esk1_0,X1)
    | iext(uri_rdf_type,X1,uri_ex_c) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,plain,
    ( iext(X3,X2,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_hasSelf,X1,X4)
    | ~ iext(uri_owl_onProperty,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_19,plain,
    ( icext(esk1_0,X1)
    | ~ iext(uri_rdf_type,X1,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,plain,
    ( iext(uri_rdf_type,X1,uri_ex_c)
    | iext(uri_rdf_type,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_13,c_0_17]) ).

cnf(c_0_21,plain,
    ( icext(X2,X1)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_22,plain,
    ( iext(X1,X2,X2)
    | ~ icext(esk1_0,X2)
    | ~ iext(uri_owl_onProperty,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_12]) ).

cnf(c_0_23,plain,
    icext(esk1_0,uri_ex_c),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).

cnf(c_0_24,plain,
    ( ~ icext(X1,X2)
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_complementOf,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_25,plain,
    ( iext(X1,uri_ex_c,uri_ex_c)
    | ~ iext(uri_owl_onProperty,esk1_0,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,plain,
    ( ~ icext(esk1_0,X1)
    | ~ icext(uri_ex_c,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_10]) ).

cnf(c_0_27,plain,
    iext(uri_rdf_type,uri_ex_c,uri_ex_c),
    inference(spm,[status(thm)],[c_0_25,c_0_16]) ).

cnf(c_0_28,plain,
    ~ icext(uri_ex_c,uri_ex_c),
    inference(spm,[status(thm)],[c_0_26,c_0_23]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SWB030+2 : TPTP v8.1.2. Released v5.2.0.
% 0.16/0.16  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n018.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 2400
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Mon Oct  2 20:31:24 EDT 2023
% 0.16/0.38  % CPUTime    : 
% 0.23/0.53  Running first-order theorem proving
% 0.23/0.53  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/tmp/tmp.yKt3fjlk20/E---3.1_2408.p
% 0.23/0.55  # Version: 3.1pre001
% 0.23/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.23/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.23/0.55  # Starting sh5l with 300s (1) cores
% 0.23/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2490 completed with status 0
% 0.23/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.23/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.55  # No SInE strategy applied
% 0.23/0.55  # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.23/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.23/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.23/0.55  # Starting new_bool_3 with 136s (1) cores
% 0.23/0.55  # Starting new_bool_1 with 136s (1) cores
% 0.23/0.55  # Starting sh5l with 136s (1) cores
% 0.23/0.55  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 2503 completed with status 0
% 0.23/0.55  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.23/0.55  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.55  # No SInE strategy applied
% 0.23/0.55  # Search class: FGHNF-FFSS22-SFFFFFNN
% 0.23/0.55  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.23/0.55  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.23/0.55  # Preprocessing time       : 0.001 s
% 0.23/0.55  # Presaturation interreduction done
% 0.23/0.55  
% 0.23/0.55  # Proof found!
% 0.23/0.55  # SZS status Unsatisfiable
% 0.23/0.55  # SZS output start CNFRefutation
% See solution above
% 0.23/0.55  # Parsed axioms                        : 4
% 0.23/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.23/0.55  # Initial clauses                      : 13
% 0.23/0.55  # Removed in clause preprocessing      : 0
% 0.23/0.55  # Initial clauses in saturation        : 13
% 0.23/0.55  # Processed clauses                    : 47
% 0.23/0.55  # ...of these trivial                  : 1
% 0.23/0.55  # ...subsumed                          : 2
% 0.23/0.55  # ...remaining for further processing  : 44
% 0.23/0.55  # Other redundant clauses eliminated   : 0
% 0.23/0.55  # Clauses deleted for lack of memory   : 0
% 0.23/0.55  # Backward-subsumed                    : 0
% 0.23/0.55  # Backward-rewritten                   : 0
% 0.23/0.55  # Generated clauses                    : 28
% 0.23/0.55  # ...of the previous two non-redundant : 22
% 0.23/0.55  # ...aggressively subsumed             : 0
% 0.23/0.55  # Contextual simplify-reflections      : 1
% 0.23/0.55  # Paramodulations                      : 28
% 0.23/0.55  # Factorizations                       : 0
% 0.23/0.55  # NegExts                              : 0
% 0.23/0.55  # Equation resolutions                 : 0
% 0.23/0.55  # Total rewrite steps                  : 5
% 0.23/0.55  # Propositional unsat checks           : 0
% 0.23/0.55  #    Propositional check models        : 0
% 0.23/0.55  #    Propositional check unsatisfiable : 0
% 0.23/0.55  #    Propositional clauses             : 0
% 0.23/0.55  #    Propositional clauses after purity: 0
% 0.23/0.55  #    Propositional unsat core size     : 0
% 0.23/0.55  #    Propositional preprocessing time  : 0.000
% 0.23/0.55  #    Propositional encoding time       : 0.000
% 0.23/0.55  #    Propositional solver time         : 0.000
% 0.23/0.55  #    Success case prop preproc time    : 0.000
% 0.23/0.55  #    Success case prop encoding time   : 0.000
% 0.23/0.55  #    Success case prop solver time     : 0.000
% 0.23/0.55  # Current number of processed clauses  : 31
% 0.23/0.55  #    Positive orientable unit clauses  : 12
% 0.23/0.55  #    Positive unorientable unit clauses: 0
% 0.23/0.55  #    Negative unit clauses             : 1
% 0.23/0.55  #    Non-unit-clauses                  : 18
% 0.23/0.55  # Current number of unprocessed clauses: 1
% 0.23/0.55  # ...number of literals in the above   : 2
% 0.23/0.55  # Current number of archived formulas  : 0
% 0.23/0.55  # Current number of archived clauses   : 13
% 0.23/0.55  # Clause-clause subsumption calls (NU) : 44
% 0.23/0.55  # Rec. Clause-clause subsumption calls : 41
% 0.23/0.55  # Non-unit clause-clause subsumptions  : 3
% 0.23/0.55  # Unit Clause-clause subsumption calls : 13
% 0.23/0.55  # Rewrite failures with RHS unbound    : 0
% 0.23/0.55  # BW rewrite match attempts            : 3
% 0.23/0.55  # BW rewrite match successes           : 0
% 0.23/0.55  # Condensation attempts                : 0
% 0.23/0.55  # Condensation successes               : 0
% 0.23/0.55  # Termbank termtop insertions          : 1009
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.006 s
% 0.23/0.55  # System time              : 0.002 s
% 0.23/0.55  # Total time               : 0.008 s
% 0.23/0.55  # Maximum resident set size: 1704 pages
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.023 s
% 0.23/0.55  # System time              : 0.004 s
% 0.23/0.55  # Total time               : 0.028 s
% 0.23/0.55  # Maximum resident set size: 1680 pages
% 0.23/0.55  % E---3.1 exiting
% 0.23/0.55  % E---3.1 exiting
%------------------------------------------------------------------------------