TSTP Solution File: SWB031+2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 19:38:31 EDT 2023

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  15 unt;   0 def)
%            Number of atoms       :   99 (   8 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  118 (  46   ~;  46   |;  20   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-3 aty)
%            Number of variables   :   42 (   5 sgn;  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_class_thing_ext,axiom,
    ! [X1] :
      ( icext(uri_owl_Thing,X1)
    <=> ir(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',owl_class_thing_ext) ).

fof(simple_ir,axiom,
    ! [X1] : ir(X1),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',simple_ir) ).

fof(owl_enum_class_001,axiom,
    ! [X2,X3,X4] :
      ( ( iext(uri_rdf_first,X3,X4)
        & iext(uri_rdf_rest,X3,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X2,X3)
      <=> ( ic(X2)
          & ! [X1] :
              ( icext(X2,X1)
            <=> X1 = X4 ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',owl_enum_class_001) ).

fof(testcase_premise_fullish_031_Large_Universe,axiom,
    ? [X7,X8] :
      ( iext(uri_owl_equivalentClass,uri_owl_Thing,X7)
      & iext(uri_owl_oneOf,X7,X8)
      & iext(uri_rdf_first,X8,uri_ex_w)
      & iext(uri_rdf_rest,X8,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',testcase_premise_fullish_031_Large_Universe) ).

fof(owl_eqdis_equivalentclass,axiom,
    ! [X5,X6] :
      ( iext(uri_owl_equivalentClass,X5,X6)
    <=> ( ic(X5)
        & ic(X6)
        & ! [X1] :
            ( icext(X5,X1)
          <=> icext(X6,X1) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',owl_eqdis_equivalentclass) ).

fof(owl_class_nothing_ext,axiom,
    ! [X1] : ~ icext(uri_owl_Nothing,X1),
    file('/export/starexec/sandbox2/tmp/tmp.VJFPOswwql/E---3.1_11372.p',owl_class_nothing_ext) ).

fof(c_0_6,plain,
    ! [X10] :
      ( ( ~ icext(uri_owl_Thing,X10)
        | ir(X10) )
      & ( ~ ir(X10)
        | icext(uri_owl_Thing,X10) ) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_class_thing_ext])]) ).

fof(c_0_7,plain,
    ! [X9] : ir(X9),
    inference(variable_rename,[status(thm)],[simple_ir]) ).

fof(c_0_8,plain,
    ! [X12,X13,X14,X15,X16] :
      ( ( ic(X12)
        | ~ iext(uri_owl_oneOf,X12,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X12,X15)
        | X15 = X14
        | ~ iext(uri_owl_oneOf,X12,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( X16 != X14
        | icext(X12,X16)
        | ~ iext(uri_owl_oneOf,X12,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( ~ icext(X12,esk1_3(X12,X13,X14))
        | esk1_3(X12,X13,X14) != X14
        | ~ ic(X12)
        | iext(uri_owl_oneOf,X12,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) )
      & ( icext(X12,esk1_3(X12,X13,X14))
        | esk1_3(X12,X13,X14) = X14
        | ~ ic(X12)
        | iext(uri_owl_oneOf,X12,X13)
        | ~ iext(uri_rdf_first,X13,X14)
        | ~ iext(uri_rdf_rest,X13,uri_rdf_nil) ) ),
    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_enum_class_001])])])])])]) ).

fof(c_0_9,plain,
    ( iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0)
    & iext(uri_owl_oneOf,esk3_0,esk4_0)
    & iext(uri_rdf_first,esk4_0,uri_ex_w)
    & iext(uri_rdf_rest,esk4_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_031_Large_Universe])]) ).

fof(c_0_10,plain,
    ! [X18,X19,X20,X21,X22,X23] :
      ( ( ic(X18)
        | ~ iext(uri_owl_equivalentClass,X18,X19) )
      & ( ic(X19)
        | ~ iext(uri_owl_equivalentClass,X18,X19) )
      & ( ~ icext(X18,X20)
        | icext(X19,X20)
        | ~ iext(uri_owl_equivalentClass,X18,X19) )
      & ( ~ icext(X19,X21)
        | icext(X18,X21)
        | ~ iext(uri_owl_equivalentClass,X18,X19) )
      & ( ~ icext(X22,esk2_2(X22,X23))
        | ~ icext(X23,esk2_2(X22,X23))
        | ~ ic(X22)
        | ~ ic(X23)
        | iext(uri_owl_equivalentClass,X22,X23) )
      & ( icext(X22,esk2_2(X22,X23))
        | icext(X23,esk2_2(X22,X23))
        | ~ ic(X22)
        | ~ ic(X23)
        | iext(uri_owl_equivalentClass,X22,X23) ) ),
    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_eqdis_equivalentclass])])])])])]) ).

cnf(c_0_11,plain,
    ( icext(uri_owl_Thing,X1)
    | ~ ir(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,plain,
    ir(X1),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_13,plain,
    ! [X1] : ~ icext(uri_owl_Nothing,X1),
    inference(fof_simplification,[status(thm)],[owl_class_nothing_ext]) ).

cnf(c_0_14,plain,
    ( X2 = X3
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_oneOf,X1,X4)
    | ~ iext(uri_rdf_first,X4,X3)
    | ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk4_0,uri_ex_w),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_rest,esk4_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_17,plain,
    ( icext(X3,X2)
    | ~ icext(X1,X2)
    | ~ iext(uri_owl_equivalentClass,X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_18,plain,
    iext(uri_owl_equivalentClass,uri_owl_Thing,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_19,plain,
    icext(uri_owl_Thing,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]) ).

fof(c_0_20,plain,
    ! [X11] : ~ icext(uri_owl_Nothing,X11),
    inference(variable_rename,[status(thm)],[c_0_13]) ).

cnf(c_0_21,plain,
    ( X1 = uri_ex_w
    | ~ iext(uri_owl_oneOf,X2,esk4_0)
    | ~ icext(X2,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_22,plain,
    icext(esk3_0,X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_23,plain,
    iext(uri_owl_oneOf,esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_24,plain,
    ~ icext(uri_owl_Nothing,X1),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    X1 = uri_ex_w,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23])]) ).

cnf(c_0_26,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25]),c_0_25]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n019.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 20:20:36 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  Running first-order model finding
% 0.19/0.47  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.VJFPOswwql/E---3.1_11372.p
% 0.19/0.49  # Version: 3.1pre001
% 0.19/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 11449 completed with status 0
% 0.19/0.49  # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.19/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: FGUSF-FFSS32-SFFFFFNN
% 0.19/0.49  # partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.19/0.49  # Starting new_bool_3 with 136s (1) cores
% 0.19/0.49  # Starting new_bool_1 with 136s (1) cores
% 0.19/0.49  # Starting sh5l with 136s (1) cores
% 0.19/0.49  # SAT001_MinMin_p005000_rr_RG with pid 11460 completed with status 0
% 0.19/0.49  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.49  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.19/0.49  # No SInE strategy applied
% 0.19/0.49  # Search class: FGUSF-FFSS32-SFFFFFNN
% 0.19/0.49  # partial match(1): FGUSF-FFSF32-SFFFFFNN
% 0.19/0.49  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.49  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Unsatisfiable
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 6
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.49  # Initial clauses                      : 19
% 0.19/0.49  # Removed in clause preprocessing      : 2
% 0.19/0.49  # Initial clauses in saturation        : 17
% 0.19/0.49  # Processed clauses                    : 45
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 1
% 0.19/0.49  # ...remaining for further processing  : 44
% 0.19/0.49  # Other redundant clauses eliminated   : 1
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 10
% 0.19/0.49  # Generated clauses                    : 24
% 0.19/0.49  # ...of the previous two non-redundant : 23
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 23
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 0
% 0.19/0.49  # Equation resolutions                 : 1
% 0.19/0.49  # Total rewrite steps                  : 19
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 16
% 0.19/0.49  #    Positive orientable unit clauses  : 7
% 0.19/0.49  #    Positive unorientable unit clauses: 1
% 0.19/0.49  #    Negative unit clauses             : 0
% 0.19/0.49  #    Non-unit-clauses                  : 8
% 0.19/0.49  # Current number of unprocessed clauses: 8
% 0.19/0.49  # ...number of literals in the above   : 32
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 28
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 91
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 36
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 32
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 52
% 0.19/0.49  # BW rewrite match successes           : 14
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 1714
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.006 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.009 s
% 0.19/0.49  # Maximum resident set size: 1804 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.021 s
% 0.19/0.49  # System time              : 0.007 s
% 0.19/0.49  # Total time               : 0.028 s
% 0.19/0.49  # Maximum resident set size: 1676 pages
% 0.19/0.49  % E---3.1 exiting
%------------------------------------------------------------------------------