TSTP Solution File: SWB040+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SWB040+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n028.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 19:02:08 EDT 2022

% Result   : Theorem 0.30s 2.48s
% Output   : CNFRefutation 0.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   96 (   0 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  106 (  42   ~;  38   |;  19   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   43 (   4 sgn  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(conclusion_rdfbased_sem_bool_tollens,conjecture,
    iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',conclusion_rdfbased_sem_bool_tollens) ).

fof(owl_prop_complementof_ext,axiom,
    ! [X4,X7] :
      ( iext(uri_owl_complementOf,X4,X7)
     => ( ic(X4)
        & ic(X7) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_prop_complementof_ext) ).

fof(owl_bool_complementof_class,axiom,
    ! [X11,X5] :
      ( iext(uri_owl_complementOf,X11,X5)
     => ( ic(X11)
        & ic(X5)
        & ! [X4] :
            ( icext(X11,X4)
          <=> ~ icext(X5,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_bool_complementof_class) ).

fof(owl_rdfsext_subclassof,axiom,
    ! [X13,X15] :
      ( iext(uri_rdfs_subClassOf,X13,X15)
    <=> ( ic(X13)
        & ic(X15)
        & ! [X4] :
            ( icext(X13,X4)
           => icext(X15,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',owl_rdfsext_subclassof) ).

fof(premise_rdfbased_sem_bool_tollens,axiom,
    ( iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2)
    & iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
    & iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_rdfbased_sem_bool_tollens) ).

fof(rdfs_subclassof_main,axiom,
    ! [X5,X6] :
      ( iext(uri_rdfs_subClassOf,X5,X6)
     => ( ic(X5)
        & ic(X6)
        & ! [X4] :
            ( icext(X5,X4)
           => icext(X6,X4) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWB001+0.ax',rdfs_subclassof_main) ).

fof(c_0_6,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(assume_negation,[status(cth)],[conclusion_rdfbased_sem_bool_tollens]) ).

fof(c_0_7,plain,
    ! [X8,X9] :
      ( ( ic(X8)
        | ~ iext(uri_owl_complementOf,X8,X9) )
      & ( ic(X9)
        | ~ iext(uri_owl_complementOf,X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[owl_prop_complementof_ext])])]) ).

fof(c_0_8,plain,
    ! [X12,X13,X14,X14] :
      ( ( ic(X12)
        | ~ iext(uri_owl_complementOf,X12,X13) )
      & ( ic(X13)
        | ~ iext(uri_owl_complementOf,X12,X13) )
      & ( ~ icext(X12,X14)
        | ~ icext(X13,X14)
        | ~ iext(uri_owl_complementOf,X12,X13) )
      & ( icext(X13,X14)
        | icext(X12,X14)
        | ~ iext(uri_owl_complementOf,X12,X13) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[owl_bool_complementof_class])])])])])])]) ).

fof(c_0_9,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_10,plain,
    ! [X16,X17,X18,X16,X17] :
      ( ( ic(X16)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ic(X17)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X16,X18)
        | icext(X17,X18)
        | ~ iext(uri_rdfs_subClassOf,X16,X17) )
      & ( icext(X16,esk109_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) )
      & ( ~ icext(X17,esk109_2(X16,X17))
        | ~ ic(X16)
        | ~ ic(X17)
        | iext(uri_rdfs_subClassOf,X16,X17) ) ),
    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_rdfsext_subclassof])])])])])])]) ).

cnf(c_0_11,plain,
    ( ic(X1)
    | ~ iext(uri_owl_complementOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_bool_tollens]) ).

cnf(c_0_13,plain,
    iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_bool_tollens]) ).

cnf(c_0_14,plain,
    ( ~ iext(uri_owl_complementOf,X1,X2)
    | ~ icext(X2,X3)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,negated_conjecture,
    ~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_16,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | icext(X1,esk109_2(X1,X2))
    | ~ ic(X2)
    | ~ ic(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_17,plain,
    ic(uri_ex_n1),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_18,plain,
    ic(uri_ex_n2),
    inference(spm,[status(thm)],[c_0_11,c_0_13]) ).

fof(c_0_19,plain,
    ! [X7,X8,X9] :
      ( ( ic(X7)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) )
      & ( ic(X8)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) )
      & ( ~ icext(X7,X9)
        | icext(X8,X9)
        | ~ iext(uri_rdfs_subClassOf,X7,X8) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[rdfs_subclassof_main])])])])])]) ).

cnf(c_0_20,plain,
    ( iext(uri_rdfs_subClassOf,X1,X2)
    | ~ ic(X2)
    | ~ ic(X1)
    | ~ icext(X2,esk109_2(X1,X2)) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_21,plain,
    ( icext(X1,X3)
    | icext(X2,X3)
    | ~ iext(uri_owl_complementOf,X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_22,plain,
    ( ~ icext(uri_ex_c2,X1)
    | ~ icext(uri_ex_n2,X1) ),
    inference(spm,[status(thm)],[c_0_14,c_0_13]) ).

cnf(c_0_23,negated_conjecture,
    icext(uri_ex_n2,esk109_2(uri_ex_n2,uri_ex_n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),c_0_18])]) ).

cnf(c_0_24,plain,
    ( icext(X2,X3)
    | ~ iext(uri_rdfs_subClassOf,X1,X2)
    | ~ icext(X1,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_19]) ).

cnf(c_0_25,plain,
    iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
    inference(split_conjunct,[status(thm)],[premise_rdfbased_sem_bool_tollens]) ).

cnf(c_0_26,negated_conjecture,
    ~ icext(uri_ex_n1,esk109_2(uri_ex_n2,uri_ex_n1)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_20]),c_0_17]),c_0_18])]) ).

cnf(c_0_27,plain,
    ( icext(uri_ex_c1,X1)
    | icext(uri_ex_n1,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_12]) ).

cnf(c_0_28,negated_conjecture,
    ~ icext(uri_ex_c2,esk109_2(uri_ex_n2,uri_ex_n1)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,plain,
    ( icext(uri_ex_c2,X1)
    | ~ icext(uri_ex_c1,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_30,negated_conjecture,
    icext(uri_ex_c1,esk109_2(uri_ex_n2,uri_ex_n1)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_31,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : SWB040+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.14  % Command  : run_ET %s %d
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 600
% 0.15/0.35  % DateTime : Wed Jun  1 13:03:37 EDT 2022
% 0.15/0.35  % CPUTime  : 
% 0.30/2.48  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.30/2.48  # Preprocessing time       : 0.092 s
% 0.30/2.48  
% 0.30/2.48  # Proof found!
% 0.30/2.48  # SZS status Theorem
% 0.30/2.48  # SZS output start CNFRefutation
% See solution above
% 0.30/2.48  # Proof object total steps             : 32
% 0.30/2.48  # Proof object clause steps            : 20
% 0.30/2.48  # Proof object formula steps           : 12
% 0.30/2.48  # Proof object conjectures             : 9
% 0.30/2.48  # Proof object clause conjectures      : 6
% 0.30/2.48  # Proof object formula conjectures     : 3
% 0.30/2.48  # Proof object initial clauses used    : 10
% 0.30/2.48  # Proof object initial formulas used   : 6
% 0.30/2.48  # Proof object generating inferences   : 10
% 0.30/2.48  # Proof object simplifying inferences  : 8
% 0.30/2.48  # Training examples: 0 positive, 0 negative
% 0.30/2.48  # Parsed axioms                        : 560
% 0.30/2.48  # Removed by relevancy pruning/SinE    : 0
% 0.30/2.48  # Initial clauses                      : 1270
% 0.30/2.48  # Removed in clause preprocessing      : 111
% 0.30/2.48  # Initial clauses in saturation        : 1159
% 0.30/2.48  # Processed clauses                    : 4746
% 0.30/2.48  # ...of these trivial                  : 198
% 0.30/2.48  # ...subsumed                          : 1514
% 0.30/2.48  # ...remaining for further processing  : 3034
% 0.30/2.48  # Other redundant clauses eliminated   : 16
% 0.30/2.48  # Clauses deleted for lack of memory   : 0
% 0.30/2.48  # Backward-subsumed                    : 82
% 0.30/2.48  # Backward-rewritten                   : 21
% 0.30/2.48  # Generated clauses                    : 102045
% 0.30/2.48  # ...of the previous two non-trivial   : 100285
% 0.30/2.48  # Contextual simplify-reflections      : 306
% 0.30/2.48  # Paramodulations                      : 101999
% 0.30/2.48  # Factorizations                       : 12
% 0.30/2.48  # Equation resolutions                 : 16
% 0.30/2.48  # Current number of processed clauses  : 2903
% 0.30/2.48  #    Positive orientable unit clauses  : 391
% 0.30/2.48  #    Positive unorientable unit clauses: 0
% 0.30/2.48  #    Negative unit clauses             : 25
% 0.30/2.48  #    Non-unit-clauses                  : 2487
% 0.30/2.48  # Current number of unprocessed clauses: 93681
% 0.30/2.48  # ...number of literals in the above   : 789905
% 0.30/2.48  # Current number of archived formulas  : 0
% 0.30/2.48  # Current number of archived clauses   : 112
% 0.30/2.48  # Clause-clause subsumption calls (NU) : 1383933
% 0.30/2.48  # Rec. Clause-clause subsumption calls : 628218
% 0.30/2.48  # Non-unit clause-clause subsumptions  : 1400
% 0.30/2.48  # Unit Clause-clause subsumption calls : 33036
% 0.30/2.48  # Rewrite failures with RHS unbound    : 0
% 0.30/2.48  # BW rewrite match attempts            : 49
% 0.30/2.48  # BW rewrite match successes           : 11
% 0.30/2.48  # Condensation attempts                : 0
% 0.30/2.48  # Condensation successes               : 0
% 0.30/2.48  # Termbank termtop insertions          : 2231186
% 0.30/2.48  
% 0.30/2.48  # -------------------------------------------------
% 0.30/2.48  # User time                : 1.711 s
% 0.30/2.48  # System time              : 0.048 s
% 0.30/2.48  # Total time               : 1.759 s
% 0.30/2.48  # Maximum resident set size: 108732 pages
% 0.30/23.47  eprover: CPU time limit exceeded, terminating
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.49  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.50  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.51  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.52  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.52  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53  eprover: No such file or directory
% 0.30/23.53  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.53  eprover: No such file or directory
% 0.30/23.53  eprover: CPU time limit exceeded, terminating
% 0.30/23.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.55  eprover: No such file or directory
% 0.30/23.55  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.55  eprover: No such file or directory
% 0.30/23.56  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.56  eprover: No such file or directory
% 0.30/23.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.57  eprover: No such file or directory
% 0.30/23.57  eprover: CPU time limit exceeded, terminating
% 0.30/23.57  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.57  eprover: No such file or directory
% 0.30/23.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.58  eprover: No such file or directory
% 0.30/23.58  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.58  eprover: No such file or directory
% 0.30/23.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.59  eprover: No such file or directory
% 0.30/23.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.59  eprover: No such file or directory
% 0.30/23.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.59  eprover: No such file or directory
% 0.30/23.59  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.59  eprover: No such file or directory
% 0.30/23.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.60  eprover: No such file or directory
% 0.30/23.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.30/23.60  eprover: No such file or directory
% 0.30/23.60  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.60  eprover: No such file or directory
% 0.30/23.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.61  eprover: No such file or directory
% 0.30/23.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.61  eprover: No such file or directory
% 0.30/23.61  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.61  eprover: No such file or directory
% 0.30/23.62  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.30/23.62  eprover: No such file or directory
%------------------------------------------------------------------------------