TSTP Solution File: SWB086+1 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : SWB086+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 19:37:23 EDT 2023

% Result   : Theorem 10.81s 2.02s
% Output   : CNFRefutation 10.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   40 (  17 unt;   0 def)
%            Number of atoms       :  112 (   0 equ)
%            Maximal formula atoms :   15 (   2 avg)
%            Number of connectives :  118 (  46   ~;  46   |;  18   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-2 aty)
%            Number of variables   :   57 (   3 sgn;  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_onproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_onProperty,X4,X7)
     => ( icext(uri_owl_Restriction,X4)
        & ip(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',owl_prop_onproperty_ext) ).

fof(owl_class_restriction_ext,axiom,
    ! [X4] :
      ( icext(uri_owl_Restriction,X4)
     => ic(X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',owl_class_restriction_ext) ).

fof(premise_rdfbased_sem_restrict_hasself_cmp_prop,axiom,
    ( iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2)
    & iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean))
    & iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1)
    & iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',premise_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(owl_restrict_hasself,axiom,
    ! [X11,X2,X31] :
      ( ( iext(uri_owl_hasSelf,X11,X31)
        & iext(uri_owl_onProperty,X11,X2) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',owl_restrict_hasself) ).

fof(conclusion_rdfbased_sem_restrict_hasself_cmp_prop,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',conclusion_rdfbased_sem_restrict_hasself_cmp_prop) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',owl_rdfsext_subclassof) ).

fof(rdfs_subpropertyof_main,axiom,
    ! [X2,X9] :
      ( iext(uri_rdfs_subPropertyOf,X2,X9)
     => ( ip(X2)
        & ip(X9)
        & ! [X4,X7] :
            ( iext(X2,X4,X7)
           => iext(X9,X4,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.JqPIJ9xn86/E---3.1_5396.p',rdfs_subpropertyof_main) ).

fof(c_0_7,plain,
    ! [X218,X219] :
      ( ( icext(uri_owl_Restriction,X218)
        | ~ iext(uri_owl_onProperty,X218,X219) )
      & ( ip(X219)
        | ~ iext(uri_owl_onProperty,X218,X219) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_onproperty_ext])])]) ).

fof(c_0_8,plain,
    ! [X140] :
      ( ~ icext(uri_owl_Restriction,X140)
      | ic(X140) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_restriction_ext])]) ).

cnf(c_0_9,plain,
    ( icext(uri_owl_Restriction,X1)
    | ~ iext(uri_owl_onProperty,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_10,plain,
    iext(uri_owl_onProperty,uri_ex_x2,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_11,plain,
    iext(uri_owl_onProperty,uri_ex_x1,uri_ex_p1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

fof(c_0_12,plain,
    ! [X531,X532,X533,X534] :
      ( ( ~ icext(X531,X534)
        | iext(X532,X534,X534)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | ~ iext(uri_owl_onProperty,X531,X532) )
      & ( ~ iext(X532,X534,X534)
        | icext(X531,X534)
        | ~ iext(uri_owl_hasSelf,X531,X533)
        | ~ iext(uri_owl_onProperty,X531,X532) ) ),
    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_13,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_hasself_cmp_prop])]) ).

fof(c_0_14,plain,
    ! [X767,X768,X769,X770,X771] :
      ( ( ic(X767)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( ic(X768)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( ~ icext(X767,X769)
        | icext(X768,X769)
        | ~ iext(uri_rdfs_subClassOf,X767,X768) )
      & ( icext(X770,esk109_2(X770,X771))
        | ~ ic(X770)
        | ~ ic(X771)
        | iext(uri_rdfs_subClassOf,X770,X771) )
      & ( ~ icext(X771,esk109_2(X770,X771))
        | ~ ic(X770)
        | ~ ic(X771)
        | iext(uri_rdfs_subClassOf,X770,X771) ) ),
    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_rdfsext_subclassof])])])])])]) ).

cnf(c_0_15,plain,
    ( ic(X1)
    | ~ icext(uri_owl_Restriction,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    icext(uri_owl_Restriction,uri_ex_x2),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_17,plain,
    icext(uri_owl_Restriction,uri_ex_x1),
    inference(spm,[status(thm)],[c_0_9,c_0_11]) ).

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_12]) ).

cnf(c_0_19,plain,
    iext(uri_owl_hasSelf,uri_ex_x1,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_20,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_x1,uri_ex_x2),
    inference(split_conjunct,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( icext(X1,esk109_2(X1,X2))
    | iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X1)
    | ~ ic(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_22,plain,
    ic(uri_ex_x2),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,plain,
    ic(uri_ex_x1),
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

fof(c_0_24,plain,
    ! [X71,X72,X73,X74] :
      ( ( ip(X71)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) )
      & ( ip(X72)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) )
      & ( ~ iext(X71,X73,X74)
        | iext(X72,X73,X74)
        | ~ iext(uri_rdfs_subPropertyOf,X71,X72) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subpropertyof_main])])])]) ).

cnf(c_0_25,plain,
    ( iext(X1,X2,X2)
    | ~ icext(uri_ex_x1,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_x1,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_26,negated_conjecture,
    icext(uri_ex_x1,esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).

cnf(c_0_27,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_12]) ).

cnf(c_0_28,plain,
    iext(uri_owl_hasSelf,uri_ex_x2,literal_typed(dat_str_true,uri_xsd_boolean)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_29,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_rdfs_subPropertyOf,X1,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_30,plain,
    iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_hasself_cmp_prop]) ).

cnf(c_0_31,negated_conjecture,
    ( iext(X1,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2))
    | ~ iext(uri_owl_onProperty,uri_ex_x1,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_32,plain,
    ( icext(uri_ex_x2,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_x2,X2)
    | ~ iext(X2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_33,plain,
    ( iext(uri_ex_p2,X1,X2)
    | ~ iext(uri_ex_p1,X1,X2) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    iext(uri_ex_p1,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_31,c_0_11]) ).

cnf(c_0_35,plain,
    ( icext(uri_ex_x2,X1)
    | ~ iext(uri_ex_p2,X1,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_10]) ).

cnf(c_0_36,negated_conjecture,
    iext(uri_ex_p2,esk109_2(uri_ex_x1,uri_ex_x2),esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,plain,
    ( iext(uri_rdfs_subClassOf,X2,X1)
    | ~ icext(X1,esk109_2(X2,X1))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_38,negated_conjecture,
    icext(uri_ex_x2,esk109_2(uri_ex_x1,uri_ex_x2)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_23]),c_0_22])]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.17  % Problem    : SWB086+1 : TPTP v8.1.2. Released v5.2.0.
% 0.19/0.18  % Command    : run_E %s %d THM
% 0.19/0.39  % Computer : n027.cluster.edu
% 0.19/0.39  % Model    : x86_64 x86_64
% 0.19/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.39  % Memory   : 8042.1875MB
% 0.19/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.39  % CPULimit   : 2400
% 0.19/0.39  % WCLimit    : 300
% 0.19/0.39  % DateTime   : Mon Oct  2 20:50:45 EDT 2023
% 0.19/0.39  % CPUTime    : 
% 0.25/0.58  Running first-order theorem proving
% 0.25/0.58  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.JqPIJ9xn86/E---3.1_5396.p
% 10.81/2.02  # Version: 3.1pre001
% 10.81/2.02  # Preprocessing class: FSLMSMSLSSSNFFN.
% 10.81/2.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.81/2.02  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 10.81/2.02  # Starting new_bool_3 with 600s (2) cores
% 10.81/2.02  # Starting new_bool_1 with 600s (2) cores
% 10.81/2.02  # Starting sh5l with 300s (1) cores
% 10.81/2.02  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 5474 completed with status 0
% 10.81/2.02  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 10.81/2.02  # Preprocessing class: FSLMSMSLSSSNFFN.
% 10.81/2.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.81/2.02  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 10.81/2.02  # No SInE strategy applied
% 10.81/2.02  # Search class: FGHSM-SMLM33-SFFFFFNN
% 10.81/2.02  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 10.81/2.02  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 10.81/2.02  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 10.81/2.02  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 10.81/2.02  # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 10.81/2.02  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 5488 completed with status 0
% 10.81/2.02  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 10.81/2.02  # Preprocessing class: FSLMSMSLSSSNFFN.
% 10.81/2.02  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.81/2.02  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 10.81/2.02  # No SInE strategy applied
% 10.81/2.02  # Search class: FGHSM-SMLM33-SFFFFFNN
% 10.81/2.02  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 10.81/2.02  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 10.81/2.02  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 10.81/2.02  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 10.81/2.02  # Preprocessing time       : 0.016 s
% 10.81/2.02  
% 10.81/2.02  # Proof found!
% 10.81/2.02  # SZS status Theorem
% 10.81/2.02  # SZS output start CNFRefutation
% See solution above
% 10.81/2.02  # Parsed axioms                        : 560
% 10.81/2.02  # Removed by relevancy pruning/SinE    : 0
% 10.81/2.02  # Initial clauses                      : 1272
% 10.81/2.02  # Removed in clause preprocessing      : 111
% 10.81/2.02  # Initial clauses in saturation        : 1161
% 10.81/2.02  # Processed clauses                    : 10258
% 10.81/2.02  # ...of these trivial                  : 1559
% 10.81/2.02  # ...subsumed                          : 3561
% 10.81/2.02  # ...remaining for further processing  : 5138
% 10.81/2.02  # Other redundant clauses eliminated   : 16
% 10.81/2.02  # Clauses deleted for lack of memory   : 0
% 10.81/2.02  # Backward-subsumed                    : 39
% 10.81/2.02  # Backward-rewritten                   : 0
% 10.81/2.02  # Generated clauses                    : 28859
% 10.81/2.02  # ...of the previous two non-redundant : 22116
% 10.81/2.02  # ...aggressively subsumed             : 0
% 10.81/2.02  # Contextual simplify-reflections      : 38
% 10.81/2.02  # Paramodulations                      : 28841
% 10.81/2.02  # Factorizations                       : 2
% 10.81/2.02  # NegExts                              : 0
% 10.81/2.02  # Equation resolutions                 : 16
% 10.81/2.02  # Total rewrite steps                  : 21514
% 10.81/2.02  # Propositional unsat checks           : 0
% 10.81/2.02  #    Propositional check models        : 0
% 10.81/2.02  #    Propositional check unsatisfiable : 0
% 10.81/2.02  #    Propositional clauses             : 0
% 10.81/2.02  #    Propositional clauses after purity: 0
% 10.81/2.02  #    Propositional unsat core size     : 0
% 10.81/2.02  #    Propositional preprocessing time  : 0.000
% 10.81/2.02  #    Propositional encoding time       : 0.000
% 10.81/2.02  #    Propositional solver time         : 0.000
% 10.81/2.02  #    Success case prop preproc time    : 0.000
% 10.81/2.02  #    Success case prop encoding time   : 0.000
% 10.81/2.02  #    Success case prop solver time     : 0.000
% 10.81/2.02  # Current number of processed clauses  : 5083
% 10.81/2.02  #    Positive orientable unit clauses  : 2336
% 10.81/2.02  #    Positive unorientable unit clauses: 0
% 10.81/2.02  #    Negative unit clauses             : 8
% 10.81/2.02  #    Non-unit-clauses                  : 2739
% 10.81/2.02  # Current number of unprocessed clauses: 13014
% 10.81/2.02  # ...number of literals in the above   : 61861
% 10.81/2.02  # Current number of archived formulas  : 0
% 10.81/2.02  # Current number of archived clauses   : 40
% 10.81/2.02  # Clause-clause subsumption calls (NU) : 1250368
% 10.81/2.02  # Rec. Clause-clause subsumption calls : 547739
% 10.81/2.02  # Non-unit clause-clause subsumptions  : 3619
% 10.81/2.02  # Unit Clause-clause subsumption calls : 611183
% 10.81/2.02  # Rewrite failures with RHS unbound    : 0
% 10.81/2.02  # BW rewrite match attempts            : 1597
% 10.81/2.02  # BW rewrite match successes           : 0
% 10.81/2.02  # Condensation attempts                : 0
% 10.81/2.02  # Condensation successes               : 0
% 10.81/2.02  # Termbank termtop insertions          : 483790
% 10.81/2.02  
% 10.81/2.02  # -------------------------------------------------
% 10.81/2.02  # User time                : 1.162 s
% 10.81/2.02  # System time              : 0.037 s
% 10.81/2.02  # Total time               : 1.198 s
% 10.81/2.02  # Maximum resident set size: 5748 pages
% 10.81/2.02  
% 10.81/2.02  # -------------------------------------------------
% 10.81/2.02  # User time                : 3.720 s
% 10.81/2.02  # System time              : 0.115 s
% 10.81/2.02  # Total time               : 3.835 s
% 10.81/2.02  # Maximum resident set size: 2232 pages
% 10.81/2.02  % E---3.1 exiting
% 10.81/2.02  % E---3.1 exiting
%------------------------------------------------------------------------------