TSTP Solution File: SWB096+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWB096+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n016.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 : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 16:08:46 EDT 2024

% Result   : Theorem 161.84s 20.88s
% Output   : CNFRefutation 161.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   26 (   9 unt;   0 def)
%            Number of atoms       :   73 (   0 equ)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives :   83 (  36   ~;  33   |;  11   &)
%                                         (   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    :   12 (  12 usr;  10 con; 0-4 aty)
%            Number of variables   :   37 (   0 sgn  15   !;   3   ?)

% 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/sandbox/tmp/tmp.lBRp98Vwrl/E---3.1_16471.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/sandbox/tmp/tmp.lBRp98Vwrl/E---3.1_16471.p',rdfs_cext_def) ).

fof(premise_rdfbased_sem_restrict_minqcr_inst_obj_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_w,uri_ex_z) ),
    file('/export/starexec/sandbox/tmp/tmp.lBRp98Vwrl/E---3.1_16471.p',premise_rdfbased_sem_restrict_minqcr_inst_obj_one) ).

fof(conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one,conjecture,
    ? [X42] :
      ( iext(uri_rdf_type,X42,uri_ex_c)
      & iext(uri_ex_p,uri_ex_w,X42) ),
    file('/export/starexec/sandbox/tmp/tmp.lBRp98Vwrl/E---3.1_16471.p',conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one) ).

fof(c_0_4,plain,
    ! [X718,X719,X720,X721,X723,X724] :
      ( ( iext(X719,X721,esk98_4(X718,X719,X720,X721))
        | ~ icext(X718,X721)
        | ~ iext(uri_owl_minQualifiedCardinality,X718,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X718,X719)
        | ~ iext(uri_owl_onClass,X718,X720) )
      & ( icext(X720,esk98_4(X718,X719,X720,X721))
        | ~ icext(X718,X721)
        | ~ iext(uri_owl_minQualifiedCardinality,X718,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X718,X719)
        | ~ iext(uri_owl_onClass,X718,X720) )
      & ( ~ iext(X719,X723,X724)
        | ~ icext(X720,X724)
        | icext(X718,X723)
        | ~ iext(uri_owl_minQualifiedCardinality,X718,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
        | ~ iext(uri_owl_onProperty,X718,X719)
        | ~ iext(uri_owl_onClass,X718,X720) ) ),
    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_minqcr_object_001])])])])])])]) ).

fof(c_0_5,plain,
    ! [X49,X50] :
      ( ( ~ iext(uri_rdf_type,X49,X50)
        | icext(X50,X49) )
      & ( ~ icext(X50,X49)
        | iext(uri_rdf_type,X49,X50) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_6,plain,
    ( icext(X1,esk98_4(X2,X3,X1,X4))
    | ~ icext(X2,X4)
    | ~ iext(uri_owl_minQualifiedCardinality,X2,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X2,X3)
    | ~ iext(uri_owl_onClass,X2,X1) ),
    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_obj_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_obj_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_w,uri_ex_z),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c_0_11,plain,
    ( icext(uri_ex_c,esk98_4(uri_ex_z,X1,uri_ex_c,X2))
    | ~ icext(uri_ex_z,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    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_z,uri_ex_w),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_13,plain,
    ( iext(X1,X2,esk98_4(X3,X1,X4,X2))
    | ~ icext(X3,X2)
    | ~ iext(uri_owl_minQualifiedCardinality,X3,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
    | ~ iext(uri_owl_onProperty,X3,X1)
    | ~ iext(uri_owl_onClass,X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

fof(c_0_14,negated_conjecture,
    ~ ? [X42] :
        ( iext(uri_rdf_type,X42,uri_ex_c)
        & iext(uri_ex_p,uri_ex_w,X42) ),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one]) ).

cnf(c_0_15,plain,
    ( icext(uri_ex_c,esk98_4(uri_ex_z,X1,uri_ex_c,uri_ex_w))
    | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

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

cnf(c_0_17,plain,
    ( iext(X1,X2,esk98_4(uri_ex_z,X1,uri_ex_c,X2))
    | ~ icext(uri_ex_z,X2)
    | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_7]),c_0_8])]) ).

fof(c_0_18,negated_conjecture,
    ! [X1249] :
      ( ~ iext(uri_rdf_type,X1249,uri_ex_c)
      | ~ iext(uri_ex_p,uri_ex_w,X1249) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).

cnf(c_0_19,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_20,plain,
    icext(uri_ex_c,esk98_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    ( iext(X1,uri_ex_w,esk98_4(uri_ex_z,X1,uri_ex_c,uri_ex_w))
    | ~ iext(uri_owl_onProperty,uri_ex_z,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_22,negated_conjecture,
    ( ~ iext(uri_rdf_type,X1,uri_ex_c)
    | ~ iext(uri_ex_p,uri_ex_w,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_18]) ).

cnf(c_0_23,plain,
    iext(uri_rdf_type,esk98_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w),uri_ex_c),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,plain,
    iext(uri_ex_p,uri_ex_w,esk98_4(uri_ex_z,uri_ex_p,uri_ex_c,uri_ex_w)),
    inference(spm,[status(thm)],[c_0_21,c_0_16]) ).

cnf(c_0_25,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWB096+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13  % Command    : run_E %s %d SAT
% 0.13/0.34  % Computer : n016.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   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Jun 18 17:50:54 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.35/0.53  Running first-order model finding
% 0.35/0.53  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.lBRp98Vwrl/E---3.1_16471.p
% 161.84/20.88  # Version: 3.2.0
% 161.84/20.88  # Preprocessing class: FSLMSMSLSSSNFFN.
% 161.84/20.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/20.88  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 161.84/20.88  # Starting new_bool_3 with 600s (2) cores
% 161.84/20.88  # Starting new_bool_1 with 600s (2) cores
% 161.84/20.88  # Starting sh5l with 300s (1) cores
% 161.84/20.88  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 16549 completed with status 0
% 161.84/20.88  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 161.84/20.88  # Preprocessing class: FSLMSMSLSSSNFFN.
% 161.84/20.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/20.88  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 161.84/20.88  # No SInE strategy applied
% 161.84/20.88  # Search class: FGHSM-SMLM33-SFFFFFNN
% 161.84/20.88  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 161.84/20.88  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 161.84/20.88  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 161.84/20.88  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 161.84/20.88  # Starting SAT001_CA_MinMin_p005000_rr with 82s (1) cores
% 161.84/20.88  # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 16563 completed with status 0
% 161.84/20.88  # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 161.84/20.88  # Preprocessing class: FSLMSMSLSSSNFFN.
% 161.84/20.88  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 161.84/20.88  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 161.84/20.88  # No SInE strategy applied
% 161.84/20.88  # Search class: FGHSM-SMLM33-SFFFFFNN
% 161.84/20.88  # partial match(1): FGHSM-SMLM33-DFFFFFNN
% 161.84/20.88  # Scheduled 6 strats onto 3 cores with 900 seconds (900 total)
% 161.84/20.88  # Starting SAT001_MinMin_p005000_rr with 487s (1) cores
% 161.84/20.88  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 91s (1) cores
% 161.84/20.88  # Preprocessing time       : 0.012 s
% 161.84/20.88  
% 161.84/20.88  # Proof found!
% 161.84/20.88  # SZS status Theorem
% 161.84/20.88  # SZS output start CNFRefutation
% See solution above
% 161.84/20.88  # Parsed axioms                        : 560
% 161.84/20.88  # Removed by relevancy pruning/SinE    : 0
% 161.84/20.88  # Initial clauses                      : 1271
% 161.84/20.88  # Removed in clause preprocessing      : 111
% 161.84/20.88  # Initial clauses in saturation        : 1160
% 161.84/20.88  # Processed clauses                    : 57898
% 161.84/20.88  # ...of these trivial                  : 1593
% 161.84/20.88  # ...subsumed                          : 29800
% 161.84/20.88  # ...remaining for further processing  : 26505
% 161.84/20.88  # Other redundant clauses eliminated   : 16
% 161.84/20.88  # Clauses deleted for lack of memory   : 0
% 161.84/20.88  # Backward-subsumed                    : 40
% 161.84/20.88  # Backward-rewritten                   : 95
% 161.84/20.88  # Generated clauses                    : 441149
% 161.84/20.88  # ...of the previous two non-redundant : 408048
% 161.84/20.88  # ...aggressively subsumed             : 0
% 161.84/20.88  # Contextual simplify-reflections      : 93
% 161.84/20.88  # Paramodulations                      : 441131
% 161.84/20.88  # Factorizations                       : 2
% 161.84/20.88  # NegExts                              : 0
% 161.84/20.88  # Equation resolutions                 : 16
% 161.84/20.88  # Disequality decompositions           : 0
% 161.84/20.88  # Total rewrite steps                  : 274898
% 161.84/20.88  # ...of those cached                   : 273404
% 161.84/20.88  # Propositional unsat checks           : 0
% 161.84/20.88  #    Propositional check models        : 0
% 161.84/20.88  #    Propositional check unsatisfiable : 0
% 161.84/20.88  #    Propositional clauses             : 0
% 161.84/20.88  #    Propositional clauses after purity: 0
% 161.84/20.88  #    Propositional unsat core size     : 0
% 161.84/20.88  #    Propositional preprocessing time  : 0.000
% 161.84/20.88  #    Propositional encoding time       : 0.000
% 161.84/20.88  #    Propositional solver time         : 0.000
% 161.84/20.88  #    Success case prop preproc time    : 0.000
% 161.84/20.88  #    Success case prop encoding time   : 0.000
% 161.84/20.88  #    Success case prop solver time     : 0.000
% 161.84/20.88  # Current number of processed clauses  : 26354
% 161.84/20.88  #    Positive orientable unit clauses  : 2385
% 161.84/20.88  #    Positive unorientable unit clauses: 0
% 161.84/20.88  #    Negative unit clauses             : 11
% 161.84/20.88  #    Non-unit-clauses                  : 23958
% 161.84/20.88  # Current number of unprocessed clauses: 324749
% 161.84/20.88  # ...number of literals in the above   : 1744399
% 161.84/20.88  # Current number of archived formulas  : 0
% 161.84/20.88  # Current number of archived clauses   : 136
% 161.84/20.88  # Clause-clause subsumption calls (NU) : 94903955
% 161.84/20.88  # Rec. Clause-clause subsumption calls : 32499611
% 161.84/20.88  # Non-unit clause-clause subsumptions  : 29894
% 161.84/20.88  # Unit Clause-clause subsumption calls : 415996
% 161.84/20.88  # Rewrite failures with RHS unbound    : 0
% 161.84/20.88  # BW rewrite match attempts            : 1630
% 161.84/20.88  # BW rewrite match successes           : 11
% 161.84/20.88  # Condensation attempts                : 0
% 161.84/20.88  # Condensation successes               : 0
% 161.84/20.88  # Termbank termtop insertions          : 9189985
% 161.84/20.88  # Search garbage collected termcells   : 19103
% 161.84/20.88  
% 161.84/20.88  # -------------------------------------------------
% 161.84/20.88  # User time                : 19.956 s
% 161.84/20.88  # System time              : 0.284 s
% 161.84/20.88  # Total time               : 20.240 s
% 161.84/20.88  # Maximum resident set size: 5788 pages
% 161.84/20.88  
% 161.84/20.88  # -------------------------------------------------
% 161.84/20.88  # User time                : 59.571 s
% 161.84/20.88  # System time              : 1.055 s
% 161.84/20.88  # Total time               : 60.627 s
% 161.84/20.88  # Maximum resident set size: 2232 pages
% 161.84/20.88  % E---3.1 exiting
% 161.89/20.88  % E exiting
%------------------------------------------------------------------------------