TSTP Solution File: SWB049+1 by E-SAT---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.2.0
% Problem  : SWB049+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d SAT

% Computer : n023.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 16:08:39 EDT 2024

% Result   : Theorem 0.23s 0.55s
% Output   : CNFRefutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   29 (  13 unt;   0 def)
%            Number of atoms       :   83 (   0 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :   89 (  35   ~;  34   |;  14   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   51 (   7 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_prop_topobjectproperty_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_topObjectProperty,X4,X7)
    <=> ( ir(X4)
        & ir(X7) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',owl_prop_topobjectproperty_ext) ).

fof(simple_ir,axiom,
    ! [X4] : ir(X4),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',simple_ir) ).

fof(owl_char_reflexive,axiom,
    ! [X2] :
      ( icext(uri_owl_ReflexiveProperty,X2)
    <=> ( ip(X2)
        & ! [X4] : iext(X2,X4,X4) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',owl_char_reflexive) ).

fof(simple_iext_property,axiom,
    ! [X1,X2,X3] :
      ( iext(X2,X1,X3)
     => ip(X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',simple_iext_property) ).

fof(owl_eqdis_equivalentproperty,axiom,
    ! [X33,X34] :
      ( iext(uri_owl_equivalentProperty,X33,X34)
    <=> ( ip(X33)
        & ip(X34)
        & ! [X4,X7] :
            ( iext(X33,X4,X7)
          <=> iext(X34,X4,X7) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',owl_eqdis_equivalentproperty) ).

fof(premise_rdfbased_sem_char_reflexive_ext,axiom,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',premise_rdfbased_sem_char_reflexive_ext) ).

fof(conclusion_rdfbased_sem_char_reflexive_ext,conjecture,
    iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',conclusion_rdfbased_sem_char_reflexive_ext) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.1iii5kL7oA/E---3.1_6693.p',rdfs_cext_def) ).

fof(c_0_8,plain,
    ! [X59,X60] :
      ( ( ir(X59)
        | ~ iext(uri_owl_topObjectProperty,X59,X60) )
      & ( ir(X60)
        | ~ iext(uri_owl_topObjectProperty,X59,X60) )
      & ( ~ ir(X59)
        | ~ ir(X60)
        | iext(uri_owl_topObjectProperty,X59,X60) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_topobjectproperty_ext])])])]) ).

fof(c_0_9,plain,
    ! [X88] : ir(X88),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_10,plain,
    ! [X43,X44,X45] :
      ( ( ip(X43)
        | ~ icext(uri_owl_ReflexiveProperty,X43) )
      & ( iext(X43,X44,X44)
        | ~ icext(uri_owl_ReflexiveProperty,X43) )
      & ( ~ ip(X45)
        | ~ iext(X45,esk1_1(X45),esk1_1(X45))
        | icext(uri_owl_ReflexiveProperty,X45) ) ),
    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_char_reflexive])])])])])])]) ).

fof(c_0_11,plain,
    ! [X52,X53,X54] :
      ( ~ iext(X53,X52,X54)
      | ip(X53) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[simple_iext_property])])]) ).

fof(c_0_12,plain,
    ! [X63,X64,X65,X66,X67,X68,X69,X70] :
      ( ( ip(X63)
        | ~ iext(uri_owl_equivalentProperty,X63,X64) )
      & ( ip(X64)
        | ~ iext(uri_owl_equivalentProperty,X63,X64) )
      & ( ~ iext(X63,X65,X66)
        | iext(X64,X65,X66)
        | ~ iext(uri_owl_equivalentProperty,X63,X64) )
      & ( ~ iext(X64,X67,X68)
        | iext(X63,X67,X68)
        | ~ iext(uri_owl_equivalentProperty,X63,X64) )
      & ( ~ iext(X69,esk2_2(X69,X70),esk3_2(X69,X70))
        | ~ iext(X70,esk2_2(X69,X70),esk3_2(X69,X70))
        | ~ ip(X69)
        | ~ ip(X70)
        | iext(uri_owl_equivalentProperty,X69,X70) )
      & ( iext(X69,esk2_2(X69,X70),esk3_2(X69,X70))
        | iext(X70,esk2_2(X69,X70),esk3_2(X69,X70))
        | ~ ip(X69)
        | ~ ip(X70)
        | iext(uri_owl_equivalentProperty,X69,X70) ) ),
    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_eqdis_equivalentproperty])])])])])])]) ).

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

cnf(c_0_14,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ ip(X1)
    | ~ iext(X1,esk1_1(X1),esk1_1(X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    ( ip(X1)
    | ~ iext(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_17,plain,
    ( iext(X4,X2,X3)
    | ~ iext(X1,X2,X3)
    | ~ iext(uri_owl_equivalentProperty,X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_18,plain,
    iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_char_reflexive_ext]) ).

cnf(c_0_19,plain,
    iext(uri_owl_topObjectProperty,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14])]) ).

fof(c_0_20,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_char_reflexive_ext])]) ).

fof(c_0_21,plain,
    ! [X48,X49] :
      ( ( ~ iext(uri_rdf_type,X48,X49)
        | icext(X49,X48) )
      & ( ~ icext(X49,X48)
        | iext(uri_rdf_type,X48,X49) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])]) ).

cnf(c_0_22,plain,
    ( icext(uri_owl_ReflexiveProperty,X1)
    | ~ iext(X1,esk1_1(X1),esk1_1(X1)) ),
    inference(csr,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_23,plain,
    iext(uri_ex_p,X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

fof(c_0_24,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(fof_nnf,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    ( iext(uri_rdf_type,X2,X1)
    | ~ icext(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_21]) ).

cnf(c_0_26,plain,
    icext(uri_owl_ReflexiveProperty,uri_ex_p),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_27,negated_conjecture,
    ~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_28,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SWB049+1 : TPTP v8.2.0. Released v5.2.0.
% 0.08/0.13  % Command    : run_E %s %d SAT
% 0.13/0.36  % Computer : n023.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Jun 18 17:56:39 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.23/0.52  Running first-order model finding
% 0.23/0.52  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.1iii5kL7oA/E---3.1_6693.p
% 0.23/0.55  # Version: 3.2.0
% 0.23/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.23/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.23/0.55  # Starting new_bool_1 with 600s (2) cores
% 0.23/0.55  # Starting sh5l with 300s (1) cores
% 0.23/0.55  # new_bool_3 with pid 6771 completed with status 0
% 0.23/0.55  # Result found by new_bool_3
% 0.23/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.23/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.23/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.55  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.23/0.55  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.23/0.55  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 262s (1) cores
% 0.23/0.55  # Starting H----_102_C18_F1_PI_AE_CS_SP_PS_S2S with 132s (1) cores
% 0.23/0.55  # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 6774 completed with status 0
% 0.23/0.55  # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.23/0.55  # Preprocessing class: FSLMSMSLSSSNFFN.
% 0.23/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.55  # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 900s (3) cores
% 0.23/0.55  # Starting new_bool_3 with 600s (2) cores
% 0.23/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.23/0.55  # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.23/0.55  # Scheduled 5 strats onto 2 cores with 600 seconds (600 total)
% 0.23/0.55  # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 262s (1) cores
% 0.23/0.55  # Preprocessing time       : 0.003 s
% 0.23/0.55  
% 0.23/0.55  # Proof found!
% 0.23/0.55  # SZS status Theorem
% 0.23/0.55  # SZS output start CNFRefutation
% See solution above
% 0.23/0.55  # Parsed axioms                        : 560
% 0.23/0.55  # Removed by relevancy pruning/SinE    : 517
% 0.23/0.55  # Initial clauses                      : 69
% 0.23/0.55  # Removed in clause preprocessing      : 0
% 0.23/0.55  # Initial clauses in saturation        : 69
% 0.23/0.55  # Processed clauses                    : 90
% 0.23/0.55  # ...of these trivial                  : 25
% 0.23/0.55  # ...subsumed                          : 8
% 0.23/0.55  # ...remaining for further processing  : 57
% 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                    : 106
% 0.23/0.55  # ...of the previous two non-redundant : 84
% 0.23/0.55  # ...aggressively subsumed             : 0
% 0.23/0.55  # Contextual simplify-reflections      : 3
% 0.23/0.55  # Paramodulations                      : 104
% 0.23/0.55  # Factorizations                       : 2
% 0.23/0.55  # NegExts                              : 0
% 0.23/0.55  # Equation resolutions                 : 0
% 0.23/0.55  # Disequality decompositions           : 0
% 0.23/0.55  # Total rewrite steps                  : 61
% 0.23/0.55  # ...of those cached                   : 45
% 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  : 57
% 0.23/0.55  #    Positive orientable unit clauses  : 28
% 0.23/0.55  #    Positive unorientable unit clauses: 0
% 0.23/0.55  #    Negative unit clauses             : 1
% 0.23/0.55  #    Non-unit-clauses                  : 28
% 0.23/0.55  # Current number of unprocessed clauses: 62
% 0.23/0.55  # ...number of literals in the above   : 237
% 0.23/0.55  # Current number of archived formulas  : 0
% 0.23/0.55  # Current number of archived clauses   : 0
% 0.23/0.55  # Clause-clause subsumption calls (NU) : 204
% 0.23/0.55  # Rec. Clause-clause subsumption calls : 134
% 0.23/0.55  # Non-unit clause-clause subsumptions  : 11
% 0.23/0.55  # Unit Clause-clause subsumption calls : 31
% 0.23/0.55  # Rewrite failures with RHS unbound    : 0
% 0.23/0.55  # BW rewrite match attempts            : 2
% 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          : 11221
% 0.23/0.55  # Search garbage collected termcells   : 3547
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.007 s
% 0.23/0.55  # System time              : 0.006 s
% 0.23/0.55  # Total time               : 0.013 s
% 0.23/0.55  # Maximum resident set size: 2620 pages
% 0.23/0.55  
% 0.23/0.55  # -------------------------------------------------
% 0.23/0.55  # User time                : 0.026 s
% 0.23/0.55  # System time              : 0.009 s
% 0.23/0.55  # Total time               : 0.035 s
% 0.23/0.55  # Maximum resident set size: 2232 pages
% 0.23/0.55  % E---3.1 exiting
% 0.23/0.55  % E exiting
%------------------------------------------------------------------------------