TSTP Solution File: SWB097+1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 19:38:46 EDT 2023

% Result   : Theorem 163.13s 21.04s
% Output   : CNFRefutation 163.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  11 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   71 (  30   ~;  28   |;  10   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-4 aty)
%            Number of variables   :   30 (   0 sgn;  14   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_restrict_minqcr_object_001,axiom,
    ! [X11,X2,X5] :
      ( ( iext(uri_owl_minQualifiedCardinality,X11,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        & iext(uri_owl_onProperty,X11,X2)
        & iext(uri_owl_onClass,X11,X5) )
     => ! [X4] :
          ( icext(X11,X4)
        <=> ? [X7] :
              ( iext(X2,X4,X7)
              & icext(X5,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.ed5buzWBAm/E---3.1_6534.p',owl_restrict_minqcr_object_001) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.ed5buzWBAm/E---3.1_6534.p',rdfs_cext_def) ).

fof(premise_rdfbased_sem_restrict_minqcr_inst_subj_one,axiom,
    ( iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    & iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
    & iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
    & iext(uri_rdf_type,uri_ex_x,uri_ex_c)
    & iext(uri_ex_p,uri_ex_w,uri_ex_x) ),
    file('/export/starexec/sandbox2/tmp/tmp.ed5buzWBAm/E---3.1_6534.p',premise_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one,conjecture,
    iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    file('/export/starexec/sandbox2/tmp/tmp.ed5buzWBAm/E---3.1_6534.p',conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one) ).

fof(c_0_4,plain,
    ! [X717,X718,X719,X720,X722,X723] :
      ( ( iext(X718,X720,esk98_4(X717,X718,X719,X720))
        | ~ icext(X717,X720)
        | ~ iext(uri_owl_minQualifiedCardinality,X717,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X717,X718)
        | ~ iext(uri_owl_onClass,X717,X719) )
      & ( icext(X719,esk98_4(X717,X718,X719,X720))
        | ~ icext(X717,X720)
        | ~ iext(uri_owl_minQualifiedCardinality,X717,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X717,X718)
        | ~ iext(uri_owl_onClass,X717,X719) )
      & ( ~ iext(X718,X722,X723)
        | ~ icext(X719,X723)
        | icext(X717,X722)
        | ~ iext(uri_owl_minQualifiedCardinality,X717,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X717,X718)
        | ~ iext(uri_owl_onClass,X717,X719) ) ),
    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_minqcr_object_001])])])])])]) ).

fof(c_0_5,plain,
    ! [X48,X49] :
      ( ( ~ iext(uri_rdf_type,X48,X49)
        | icext(X49,X48) )
      & ( ~ icext(X49,X48)
        | iext(uri_rdf_type,X48,X49) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])]) ).

cnf(c_0_6,plain,
    ( icext(X5,X2)
    | ~ iext(X1,X2,X3)
    | ~ icext(X4,X3)
    | ~ iext(uri_owl_minQualifiedCardinality,X5,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X5,X1)
    | ~ iext(uri_owl_onClass,X5,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,plain,
    iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_subj_one]) ).

cnf(c_0_8,plain,
    iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_subj_one]) ).

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

cnf(c_0_10,plain,
    iext(uri_rdf_type,uri_ex_x,uri_ex_c),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_subj_one]) ).

cnf(c_0_11,plain,
    ( icext(uri_ex_z,X1)
    | ~ icext(uri_ex_c,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X3)
    | ~ iext(X3,X1,X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).

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

cnf(c_0_13,plain,
    ( icext(uri_ex_z,X1)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X2)
    | ~ iext(X2,X1,uri_ex_x) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,plain,
    iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_subj_one]) ).

cnf(c_0_15,plain,
    ( icext(uri_ex_z,X1)
    | ~ iext(uri_ex_p,X1,uri_ex_x) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,plain,
    iext(uri_ex_p,uri_ex_w,uri_ex_x),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_subj_one]) ).

fof(c_0_17,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_minqcr_inst_subj_one])]) ).

cnf(c_0_18,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_19,plain,
    icext(uri_ex_z,uri_ex_w),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWB097+1 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n010.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 20:17:35 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.52  Running first-order model finding
% 0.20/0.52  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.ed5buzWBAm/E---3.1_6534.p
% 163.13/21.04  # Version: 3.1pre001
% 163.13/21.04  # Preprocessing class: FSLMSMSLSSSNFFN.
% 163.13/21.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.13/21.04  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 163.13/21.04  # Starting new_bool_3 with 600s (2) cores
% 163.13/21.04  # Starting new_bool_1 with 600s (2) cores
% 163.13/21.04  # Starting sh5l with 300s (1) cores
% 163.13/21.04  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6683 completed with status 0
% 163.13/21.04  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 163.13/21.04  # Preprocessing class: FSLMSMSLSSSNFFN.
% 163.13/21.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.13/21.04  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 163.13/21.04  # No SInE strategy applied
% 163.13/21.04  # Search class: FGHSM-SMLM33-SFFFFFNN
% 163.13/21.04  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 163.13/21.04  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 163.13/21.04  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 163.13/21.04  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 163.13/21.04  # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 163.13/21.04  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 6701 completed with status 0
% 163.13/21.04  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 163.13/21.04  # Preprocessing class: FSLMSMSLSSSNFFN.
% 163.13/21.04  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 163.13/21.04  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 163.13/21.04  # No SInE strategy applied
% 163.13/21.04  # Search class: FGHSM-SMLM33-SFFFFFNN
% 163.13/21.04  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 163.13/21.04  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 163.13/21.04  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 163.13/21.04  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 163.13/21.04  # Preprocessing time       : 0.018 s
% 163.13/21.04  
% 163.13/21.04  # Proof found!
% 163.13/21.04  # SZS status Theorem
% 163.13/21.04  # SZS output start CNFRefutation
% See solution above
% 163.13/21.04  # Parsed axioms                        : 560
% 163.13/21.04  # Removed by relevancy pruning/SinE    : 0
% 163.13/21.04  # Initial clauses                      : 1272
% 163.13/21.04  # Removed in clause preprocessing      : 111
% 163.13/21.04  # Initial clauses in saturation        : 1161
% 163.13/21.04  # Processed clauses                    : 43717
% 163.13/21.04  # ...of these trivial                  : 1592
% 163.13/21.04  # ...subsumed                          : 21918
% 163.13/21.04  # ...remaining for further processing  : 20207
% 163.13/21.04  # Other redundant clauses eliminated   : 16
% 163.13/21.04  # Clauses deleted for lack of memory   : 0
% 163.13/21.04  # Backward-subsumed                    : 64
% 163.13/21.04  # Backward-rewritten                   : 95
% 163.13/21.04  # Generated clauses                    : 404282
% 163.13/21.04  # ...of the previous two non-redundant : 378333
% 163.13/21.04  # ...aggressively subsumed             : 0
% 163.13/21.04  # Contextual simplify-reflections      : 93
% 163.13/21.04  # Paramodulations                      : 404264
% 163.13/21.04  # Factorizations                       : 2
% 163.13/21.04  # NegExts                              : 0
% 163.13/21.04  # Equation resolutions                 : 16
% 163.13/21.04  # Total rewrite steps                  : 252275
% 163.13/21.04  # Propositional unsat checks           : 0
% 163.13/21.04  #    Propositional check models        : 0
% 163.13/21.04  #    Propositional check unsatisfiable : 0
% 163.13/21.04  #    Propositional clauses             : 0
% 163.13/21.04  #    Propositional clauses after purity: 0
% 163.13/21.04  #    Propositional unsat core size     : 0
% 163.13/21.04  #    Propositional preprocessing time  : 0.000
% 163.13/21.04  #    Propositional encoding time       : 0.000
% 163.13/21.04  #    Propositional solver time         : 0.000
% 163.13/21.04  #    Success case prop preproc time    : 0.000
% 163.13/21.04  #    Success case prop encoding time   : 0.000
% 163.13/21.04  #    Success case prop solver time     : 0.000
% 163.13/21.04  # Current number of processed clauses  : 20032
% 163.13/21.04  #    Positive orientable unit clauses  : 2384
% 163.13/21.04  #    Positive unorientable unit clauses: 0
% 163.13/21.04  #    Negative unit clauses             : 9
% 163.13/21.04  #    Non-unit-clauses                  : 17639
% 163.13/21.04  # Current number of unprocessed clauses: 309213
% 163.13/21.04  # ...number of literals in the above   : 1681997
% 163.13/21.04  # Current number of archived formulas  : 0
% 163.13/21.04  # Current number of archived clauses   : 160
% 163.13/21.04  # Clause-clause subsumption calls (NU) : 61452561
% 163.13/21.04  # Rec. Clause-clause subsumption calls : 26886896
% 163.13/21.04  # Non-unit clause-clause subsumptions  : 22036
% 163.13/21.04  # Unit Clause-clause subsumption calls : 615663
% 163.13/21.04  # Rewrite failures with RHS unbound    : 0
% 163.13/21.04  # BW rewrite match attempts            : 1627
% 163.13/21.04  # BW rewrite match successes           : 11
% 163.13/21.04  # Condensation attempts                : 0
% 163.13/21.04  # Condensation successes               : 0
% 163.13/21.04  # Termbank termtop insertions          : 8693809
% 163.13/21.04  
% 163.13/21.04  # -------------------------------------------------
% 163.13/21.04  # User time                : 20.104 s
% 163.13/21.04  # System time              : 0.298 s
% 163.13/21.04  # Total time               : 20.403 s
% 163.13/21.04  # Maximum resident set size: 5752 pages
% 163.13/21.04  
% 163.13/21.04  # -------------------------------------------------
% 163.13/21.04  # User time                : 59.346 s
% 163.13/21.04  # System time              : 1.070 s
% 163.13/21.04  # Total time               : 60.416 s
% 163.13/21.04  # Maximum resident set size: 2236 pages
% 163.13/21.04  % E---3.1 exiting
%------------------------------------------------------------------------------