TSTP Solution File: CSR086+6 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR086+6 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n024.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 : Fri Jul 15 03:02:27 EDT 2022

% Result   : Theorem 26.90s 29.08s
% Output   : CNFRefutation 26.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   22 (  10 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :   64 (  28   ~;  24   |;   7   &)
%                                         (   1 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-1 aty)
%            Number of variables   :   30 (   2 sgn  14   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(prove_from_ALL,conjecture,
    ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_from_ALL) ).

fof(kb_SUMO_26636,axiom,
    ! [X1,X15,X13] :
      ( ( s__instance(X15,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
     => ( ( s__subclass(X1,X15)
          & s__instance(X13,X1) )
       => s__instance(X13,X15) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26636) ).

fof(kb_SUMO_26635,axiom,
    ! [X1,X15] :
      ( s__subclass(X1,X15)
     => ( s__instance(X1,s__SetOrClass)
        & s__instance(X15,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_26635) ).

fof(kb_SUMO_32710,axiom,
    ! [X1148] :
      ( s__instance(X1148,s__GraphArc)
     => ( s__instance(X1148,s__GraphLoop)
      <=> ? [X1149] :
            ( s__instance(X1149,s__GraphNode)
            & s__links(X1149,X1149,X1148) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32710) ).

fof(local_1,axiom,
    s__instance(s__Arc13_1,s__GraphLoop),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',local_1) ).

fof(kb_SUMO_32707,axiom,
    s__subclass(s__GraphLoop,s__GraphArc),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR003+2.ax',kb_SUMO_32707) ).

fof(c_0_6,negated_conjecture,
    ~ ? [X2341] : s__links(X2341,X2341,s__Arc13_1),
    inference(assume_negation,[status(cth)],[prove_from_ALL]) ).

fof(c_0_7,plain,
    ! [X16,X17,X18] :
      ( ~ s__instance(X17,s__SetOrClass)
      | ~ s__instance(X16,s__SetOrClass)
      | ~ s__subclass(X16,X17)
      | ~ s__instance(X18,X16)
      | s__instance(X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26636])])])]) ).

fof(c_0_8,plain,
    ! [X16,X17] :
      ( ( s__instance(X16,s__SetOrClass)
        | ~ s__subclass(X16,X17) )
      & ( s__instance(X17,s__SetOrClass)
        | ~ s__subclass(X16,X17) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26635])])]) ).

fof(c_0_9,negated_conjecture,
    ! [X2342] : ~ s__links(X2342,X2342,s__Arc13_1),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])]) ).

fof(c_0_10,plain,
    ! [X1150,X1152] :
      ( ( s__instance(esk13_1(X1150),s__GraphNode)
        | ~ s__instance(X1150,s__GraphLoop)
        | ~ s__instance(X1150,s__GraphArc) )
      & ( s__links(esk13_1(X1150),esk13_1(X1150),X1150)
        | ~ s__instance(X1150,s__GraphLoop)
        | ~ s__instance(X1150,s__GraphArc) )
      & ( ~ s__instance(X1152,s__GraphNode)
        | ~ s__links(X1152,X1152,X1150)
        | s__instance(X1150,s__GraphLoop)
        | ~ s__instance(X1150,s__GraphArc) ) ),
    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)],[kb_SUMO_32710])])])])])])]) ).

cnf(c_0_11,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2)
    | ~ s__instance(X3,s__SetOrClass)
    | ~ s__instance(X2,s__SetOrClass) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_12,plain,
    ( s__instance(X2,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_13,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,negated_conjecture,
    ~ s__links(X1,X1,s__Arc13_1),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_15,plain,
    ( s__links(esk13_1(X1),esk13_1(X1),X1)
    | ~ s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop) ),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_16,plain,
    s__instance(s__Arc13_1,s__GraphLoop),
    inference(split_conjunct,[status(thm)],[local_1]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,X2)
    | ~ s__instance(X1,X3)
    | ~ s__subclass(X3,X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_18,plain,
    s__subclass(s__GraphLoop,s__GraphArc),
    inference(split_conjunct,[status(thm)],[kb_SUMO_32707]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(s__Arc13_1,s__GraphArc),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_20,plain,
    ( s__instance(X1,s__GraphArc)
    | ~ s__instance(X1,s__GraphLoop) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CSR086+6 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.07/0.12  % Command  : run_ET %s %d
% 0.14/0.33  % Computer : n024.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Sat Jun 11 04:11:19 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 26.90/29.08  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 26.90/29.08  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 26.90/29.08  # Preprocessing time       : 1.104 s
% 26.90/29.08  
% 26.90/29.08  # Proof found!
% 26.90/29.08  # SZS status Theorem
% 26.90/29.08  # SZS output start CNFRefutation
% See solution above
% 26.90/29.08  # Proof object total steps             : 22
% 26.90/29.08  # Proof object clause steps            : 11
% 26.90/29.08  # Proof object formula steps           : 11
% 26.90/29.08  # Proof object conjectures             : 6
% 26.90/29.08  # Proof object clause conjectures      : 3
% 26.90/29.08  # Proof object formula conjectures     : 3
% 26.90/29.08  # Proof object initial clauses used    : 7
% 26.90/29.08  # Proof object initial formulas used   : 6
% 26.90/29.08  # Proof object generating inferences   : 3
% 26.90/29.08  # Proof object simplifying inferences  : 6
% 26.90/29.08  # Training examples: 0 positive, 0 negative
% 26.90/29.08  # Parsed axioms                        : 55588
% 26.90/29.08  # Removed by relevancy pruning/SinE    : 55487
% 26.90/29.08  # Initial clauses                      : 146
% 26.90/29.08  # Removed in clause preprocessing      : 10
% 26.90/29.08  # Initial clauses in saturation        : 136
% 26.90/29.08  # Processed clauses                    : 217
% 26.90/29.08  # ...of these trivial                  : 20
% 26.90/29.08  # ...subsumed                          : 1
% 26.90/29.08  # ...remaining for further processing  : 196
% 26.90/29.08  # Other redundant clauses eliminated   : 2
% 26.90/29.08  # Clauses deleted for lack of memory   : 0
% 26.90/29.08  # Backward-subsumed                    : 0
% 26.90/29.08  # Backward-rewritten                   : 0
% 26.90/29.08  # Generated clauses                    : 179
% 26.90/29.08  # ...of the previous two non-trivial   : 168
% 26.90/29.08  # Contextual simplify-reflections      : 14
% 26.90/29.08  # Paramodulations                      : 177
% 26.90/29.08  # Factorizations                       : 0
% 26.90/29.08  # Equation resolutions                 : 2
% 26.90/29.08  # Current number of processed clauses  : 194
% 26.90/29.08  #    Positive orientable unit clauses  : 64
% 26.90/29.08  #    Positive unorientable unit clauses: 0
% 26.90/29.08  #    Negative unit clauses             : 2
% 26.90/29.08  #    Non-unit-clauses                  : 128
% 26.90/29.08  # Current number of unprocessed clauses: 87
% 26.90/29.08  # ...number of literals in the above   : 358
% 26.90/29.08  # Current number of archived formulas  : 0
% 26.90/29.08  # Current number of archived clauses   : 0
% 26.90/29.08  # Clause-clause subsumption calls (NU) : 3725
% 26.90/29.08  # Rec. Clause-clause subsumption calls : 515
% 26.90/29.08  # Non-unit clause-clause subsumptions  : 15
% 26.90/29.08  # Unit Clause-clause subsumption calls : 193
% 26.90/29.08  # Rewrite failures with RHS unbound    : 0
% 26.90/29.08  # BW rewrite match attempts            : 1
% 26.90/29.08  # BW rewrite match successes           : 0
% 26.90/29.08  # Condensation attempts                : 0
% 26.90/29.08  # Condensation successes               : 0
% 26.90/29.08  # Termbank termtop insertions          : 660775
% 26.90/29.08  
% 26.90/29.08  # -------------------------------------------------
% 26.90/29.08  # User time                : 1.029 s
% 26.90/29.08  # System time              : 0.086 s
% 26.90/29.08  # Total time               : 1.115 s
% 26.90/29.08  # Maximum resident set size: 144856 pages
% 26.90/29.35  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.35  eprover: No such file or directory
% 26.90/29.36  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.36  eprover: No such file or directory
% 26.90/29.36  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.36  eprover: No such file or directory
% 26.90/29.37  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.37  eprover: No such file or directory
% 26.90/29.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.38  eprover: No such file or directory
% 26.90/29.38  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.38  eprover: No such file or directory
% 26.90/29.39  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.39  eprover: No such file or directory
% 26.90/29.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.40  eprover: No such file or directory
% 26.90/29.40  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.40  eprover: No such file or directory
% 26.90/29.41  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/29.41  eprover: No such file or directory
% 26.90/33.23  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.23  eprover: No such file or directory
% 26.90/33.24  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.24  eprover: No such file or directory
% 26.90/33.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.25  eprover: No such file or directory
% 26.90/33.25  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.25  eprover: No such file or directory
% 26.90/33.26  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.26  eprover: No such file or directory
% 26.90/33.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.27  eprover: No such file or directory
% 26.90/33.27  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.27  eprover: No such file or directory
% 26.90/33.28  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.28  eprover: No such file or directory
% 26.90/33.29  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.29  eprover: No such file or directory
% 26.90/33.29  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.29  eprover: No such file or directory
% 26.90/33.30  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 26.90/33.30  eprover: No such file or directory
% 26.90/40.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.45  eprover: No such file or directory
% 26.90/40.45  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.45  eprover: No such file or directory
% 26.90/40.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.46  eprover: No such file or directory
% 26.90/40.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.47  eprover: No such file or directory
% 26.90/40.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.47  eprover: No such file or directory
% 26.90/40.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.48  eprover: No such file or directory
% 26.90/40.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.49  eprover: No such file or directory
% 26.90/40.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.49  eprover: No such file or directory
% 26.90/40.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.50  eprover: No such file or directory
% 26.90/40.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.50  eprover: No such file or directory
% 26.90/40.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 26.90/40.51  eprover: No such file or directory
%------------------------------------------------------------------------------