TSTP Solution File: SWB023+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB023+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n032.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  : 600s
% DateTime : Tue Jul 19 19:02:03 EDT 2022

% Result   : Theorem 0.18s 1.43s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :  127 (  22 equ)
%            Maximal formula atoms :   26 (   3 avg)
%            Number of connectives :  149 (  57   ~;  57   |;  28   &)
%                                         (   5 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :   17 (  17 usr;  13 con; 0-3 aty)
%            Number of variables   :   58 (   6 sgn  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(owl_char_functional,axiom,
    ! [X2] :
      ( icext(uri_owl_FunctionalProperty,X2)
    <=> ( ip(X2)
        & ! [X4,X27,X28] :
            ( ( iext(X2,X4,X27)
              & iext(X2,X4,X28) )
           => X27 = X28 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_char_functional) ).

fof(rdfs_cext_def,axiom,
    ! [X4,X5] :
      ( iext(uri_rdf_type,X4,X5)
    <=> icext(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',rdfs_cext_def) ).

fof(testcase_premise_fullish_023_Unique_List_Components,axiom,
    ? [X42,X43] :
      ( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
      & iext(uri_rdf_type,uri_ex_w,X42)
      & iext(uri_rdf_type,X42,uri_owl_Class)
      & iext(uri_owl_oneOf,X42,X43)
      & iext(uri_rdf_first,X43,uri_ex_u)
      & iext(uri_rdf_first,X43,uri_ex_v)
      & iext(uri_rdf_rest,X43,uri_rdf_nil) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_premise_fullish_023_Unique_List_Components) ).

fof(owl_enum_class_001,axiom,
    ! [X11,X12,X21] :
      ( ( iext(uri_rdf_first,X12,X21)
        & iext(uri_rdf_rest,X12,uri_rdf_nil) )
     => ( iext(uri_owl_oneOf,X11,X12)
      <=> ( ic(X11)
          & ! [X4] :
              ( icext(X11,X4)
            <=> X4 = X21 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_enum_class_001) ).

fof(testcase_conclusion_fullish_023_Unique_List_Components,conjecture,
    ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',testcase_conclusion_fullish_023_Unique_List_Components) ).

fof(owl_eqdis_sameas,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_sameAs,X4,X7)
    <=> X4 = X7 ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWB001+0.ax',owl_eqdis_sameas) ).

fof(c_0_6,plain,
    ! [X29,X30,X31,X32,X29] :
      ( ( ip(X29)
        | ~ icext(uri_owl_FunctionalProperty,X29) )
      & ( ~ iext(X29,X30,X31)
        | ~ iext(X29,X30,X32)
        | X31 = X32
        | ~ icext(uri_owl_FunctionalProperty,X29) )
      & ( iext(X29,esk7_1(X29),esk8_1(X29))
        | ~ ip(X29)
        | icext(uri_owl_FunctionalProperty,X29) )
      & ( iext(X29,esk7_1(X29),esk9_1(X29))
        | ~ ip(X29)
        | icext(uri_owl_FunctionalProperty,X29) )
      & ( esk8_1(X29) != esk9_1(X29)
        | ~ ip(X29)
        | icext(uri_owl_FunctionalProperty,X29) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_char_functional])])])])])])]) ).

fof(c_0_7,plain,
    ! [X6,X7,X6,X7] :
      ( ( ~ iext(uri_rdf_type,X6,X7)
        | icext(X7,X6) )
      & ( ~ icext(X7,X6)
        | iext(uri_rdf_type,X6,X7) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_cext_def])])])]) ).

cnf(c_0_8,plain,
    ( X2 = X3
    | ~ icext(uri_owl_FunctionalProperty,X1)
    | ~ iext(X1,X4,X3)
    | ~ iext(X1,X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

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

fof(c_0_10,plain,
    ( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
    & iext(uri_rdf_type,uri_ex_w,esk1_0)
    & iext(uri_rdf_type,esk1_0,uri_owl_Class)
    & iext(uri_owl_oneOf,esk1_0,esk2_0)
    & iext(uri_rdf_first,esk2_0,uri_ex_u)
    & iext(uri_rdf_first,esk2_0,uri_ex_v)
    & iext(uri_rdf_rest,esk2_0,uri_rdf_nil) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[testcase_premise_fullish_023_Unique_List_Components])]) ).

fof(c_0_11,plain,
    ! [X22,X23,X24,X25,X25] :
      ( ( ic(X22)
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( ~ icext(X22,X25)
        | X25 = X24
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( X25 != X24
        | icext(X22,X25)
        | ~ iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( ~ icext(X22,esk4_3(X22,X23,X24))
        | esk4_3(X22,X23,X24) != X24
        | ~ ic(X22)
        | iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) )
      & ( icext(X22,esk4_3(X22,X23,X24))
        | esk4_3(X22,X23,X24) = X24
        | ~ ic(X22)
        | iext(uri_owl_oneOf,X22,X23)
        | ~ iext(uri_rdf_first,X23,X24)
        | ~ iext(uri_rdf_rest,X23,uri_rdf_nil) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_enum_class_001])])])])])])]) ).

cnf(c_0_12,plain,
    ( X1 = X2
    | ~ iext(uri_rdf_type,X3,uri_owl_FunctionalProperty)
    | ~ iext(X3,X4,X2)
    | ~ iext(X3,X4,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_13,plain,
    iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_14,plain,
    ( X4 = X2
    | ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
    | ~ iext(uri_rdf_first,X1,X2)
    | ~ iext(uri_owl_oneOf,X3,X1)
    | ~ icext(X3,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_15,plain,
    iext(uri_rdf_first,esk2_0,uri_ex_u),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    iext(uri_rdf_rest,esk2_0,uri_rdf_nil),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_17,negated_conjecture,
    ~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
      & iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    inference(assume_negation,[status(cth)],[testcase_conclusion_fullish_023_Unique_List_Components]) ).

cnf(c_0_18,plain,
    ( X1 = X2
    | ~ iext(uri_rdf_first,X3,X2)
    | ~ iext(uri_rdf_first,X3,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_19,plain,
    ( uri_ex_u = X1
    | ~ icext(X2,X1)
    | ~ iext(uri_owl_oneOf,X2,esk2_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

fof(c_0_20,negated_conjecture,
    ( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
    | ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
    inference(fof_nnf,[status(thm)],[c_0_17]) ).

cnf(c_0_21,plain,
    ( X1 = uri_ex_u
    | ~ iext(uri_rdf_first,esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_15]) ).

cnf(c_0_22,plain,
    iext(uri_rdf_first,esk2_0,uri_ex_v),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_23,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_owl_oneOf,X2,esk2_0)
    | ~ iext(uri_rdf_type,X1,X2) ),
    inference(spm,[status(thm)],[c_0_19,c_0_9]) ).

cnf(c_0_24,plain,
    iext(uri_owl_oneOf,esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_25,plain,
    ! [X8,X9,X8,X9] :
      ( ( ~ iext(uri_owl_sameAs,X8,X9)
        | X8 = X9 )
      & ( X8 != X9
        | iext(uri_owl_sameAs,X8,X9) ) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_eqdis_sameas])])])]) ).

cnf(c_0_26,negated_conjecture,
    ( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
    | ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_27,plain,
    uri_ex_v = uri_ex_u,
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_28,plain,
    ( uri_ex_u = X1
    | ~ iext(uri_rdf_type,X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_29,plain,
    iext(uri_rdf_type,uri_ex_w,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_30,plain,
    ( iext(uri_owl_sameAs,X1,X2)
    | X1 != X2 ),
    inference(split_conjunct,[status(thm)],[c_0_25]) ).

cnf(c_0_31,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).

cnf(c_0_32,plain,
    uri_ex_w = uri_ex_u,
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_33,plain,
    iext(uri_owl_sameAs,X1,X1),
    inference(er,[status(thm)],[c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10  % Problem  : SWB023+1 : TPTP v8.1.0. Released v5.2.0.
% 0.03/0.11  % Command  : run_ET %s %d
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Wed Jun  1 14:58:29 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.18/1.43  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.18/1.43  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.18/1.43  # Preprocessing time       : 0.021 s
% 0.18/1.43  
% 0.18/1.43  # Proof found!
% 0.18/1.43  # SZS status Theorem
% 0.18/1.43  # SZS output start CNFRefutation
% See solution above
% 0.18/1.43  # Proof object total steps             : 35
% 0.18/1.43  # Proof object clause steps            : 22
% 0.18/1.43  # Proof object formula steps           : 13
% 0.18/1.43  # Proof object conjectures             : 6
% 0.18/1.43  # Proof object clause conjectures      : 3
% 0.18/1.43  # Proof object formula conjectures     : 3
% 0.18/1.43  # Proof object initial clauses used    : 11
% 0.18/1.43  # Proof object initial formulas used   : 6
% 0.18/1.43  # Proof object generating inferences   : 8
% 0.18/1.43  # Proof object simplifying inferences  : 8
% 0.18/1.43  # Training examples: 0 positive, 0 negative
% 0.18/1.43  # Parsed axioms                        : 560
% 0.18/1.43  # Removed by relevancy pruning/SinE    : 495
% 0.18/1.43  # Initial clauses                      : 122
% 0.18/1.43  # Removed in clause preprocessing      : 15
% 0.18/1.43  # Initial clauses in saturation        : 107
% 0.18/1.43  # Processed clauses                    : 487
% 0.18/1.43  # ...of these trivial                  : 29
% 0.18/1.43  # ...subsumed                          : 103
% 0.18/1.43  # ...remaining for further processing  : 355
% 0.18/1.43  # Other redundant clauses eliminated   : 11
% 0.18/1.43  # Clauses deleted for lack of memory   : 0
% 0.18/1.43  # Backward-subsumed                    : 0
% 0.18/1.43  # Backward-rewritten                   : 8
% 0.18/1.43  # Generated clauses                    : 931
% 0.18/1.43  # ...of the previous two non-trivial   : 662
% 0.18/1.43  # Contextual simplify-reflections      : 16
% 0.18/1.43  # Paramodulations                      : 918
% 0.18/1.43  # Factorizations                       : 0
% 0.18/1.43  # Equation resolutions                 : 11
% 0.18/1.43  # Current number of processed clauses  : 334
% 0.18/1.43  #    Positive orientable unit clauses  : 108
% 0.18/1.43  #    Positive unorientable unit clauses: 0
% 0.18/1.43  #    Negative unit clauses             : 6
% 0.18/1.43  #    Non-unit-clauses                  : 220
% 0.18/1.43  # Current number of unprocessed clauses: 269
% 0.18/1.43  # ...number of literals in the above   : 1457
% 0.18/1.43  # Current number of archived formulas  : 0
% 0.18/1.43  # Current number of archived clauses   : 11
% 0.18/1.43  # Clause-clause subsumption calls (NU) : 8177
% 0.18/1.43  # Rec. Clause-clause subsumption calls : 3750
% 0.18/1.43  # Non-unit clause-clause subsumptions  : 91
% 0.18/1.43  # Unit Clause-clause subsumption calls : 590
% 0.18/1.43  # Rewrite failures with RHS unbound    : 0
% 0.18/1.43  # BW rewrite match attempts            : 23
% 0.18/1.43  # BW rewrite match successes           : 3
% 0.18/1.43  # Condensation attempts                : 0
% 0.18/1.43  # Condensation successes               : 0
% 0.18/1.43  # Termbank termtop insertions          : 24857
% 0.18/1.43  
% 0.18/1.43  # -------------------------------------------------
% 0.18/1.43  # User time                : 0.037 s
% 0.18/1.43  # System time              : 0.004 s
% 0.18/1.43  # Total time               : 0.041 s
% 0.18/1.43  # Maximum resident set size: 5212 pages
% 0.18/23.41  eprover: CPU time limit exceeded, terminating
% 0.18/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.43  eprover: No such file or directory
% 0.18/23.43  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.43  eprover: No such file or directory
% 0.18/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.44  eprover: No such file or directory
% 0.18/23.44  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.44  eprover: No such file or directory
% 0.18/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.45  eprover: No such file or directory
% 0.18/23.45  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.45  eprover: No such file or directory
% 0.18/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.46  eprover: No such file or directory
% 0.18/23.46  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.46  eprover: No such file or directory
% 0.18/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.47  eprover: No such file or directory
% 0.18/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.47  eprover: No such file or directory
% 0.18/23.47  eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.18/23.47  eprover: No such file or directory
%------------------------------------------------------------------------------