TSTP Solution File: CSR101+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : CSR101+2 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n013.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 03:02:43 EDT 2022

% Result   : Theorem 6.98s 8.16s
% Output   : CNFRefutation 6.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
%            Number of atoms       :   47 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   46 (  20   ~;  16   |;   5   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   24 (   2 sgn  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(kb_SUMO_27,axiom,
    ! [X6,X7,X8] :
      ( ( s__instance(X7,s__SetOrClass)
        & s__instance(X6,s__SetOrClass) )
     => ( ( s__subclass(X6,X7)
          & s__instance(X8,X6) )
       => s__instance(X8,X7) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_27) ).

fof(kb_SUMO_26,axiom,
    ! [X6,X7] :
      ( s__subclass(X6,X7)
     => ( s__instance(X6,s__SetOrClass)
        & s__instance(X7,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR003+1.ax',kb_SUMO_26) ).

fof(prove_from_SUMO_MILO,conjecture,
    ! [X1223] :
      ( s__instance(X1223,s__Class32_2)
     => s__instance(X1223,s__Class32_1) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',prove_from_SUMO_MILO) ).

fof(local_9,axiom,
    s__subclass(s__Class32_3,s__Class32_1),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',local_9) ).

fof(local_8,axiom,
    s__subclass(s__Class32_2,s__Class32_3),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',local_8) ).

fof(c_0_5,plain,
    ! [X9,X10,X11] :
      ( ~ s__instance(X10,s__SetOrClass)
      | ~ s__instance(X9,s__SetOrClass)
      | ~ s__subclass(X9,X10)
      | ~ s__instance(X11,X9)
      | s__instance(X11,X10) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_27])])])]) ).

fof(c_0_6,plain,
    ! [X8,X9] :
      ( ( s__instance(X8,s__SetOrClass)
        | ~ s__subclass(X8,X9) )
      & ( s__instance(X9,s__SetOrClass)
        | ~ s__subclass(X8,X9) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[kb_SUMO_26])])]) ).

fof(c_0_7,negated_conjecture,
    ~ ! [X1223] :
        ( s__instance(X1223,s__Class32_2)
       => s__instance(X1223,s__Class32_1) ),
    inference(assume_negation,[status(cth)],[prove_from_SUMO_MILO]) ).

cnf(c_0_8,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_5]) ).

cnf(c_0_9,plain,
    ( s__instance(X2,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( s__instance(X1,s__SetOrClass)
    | ~ s__subclass(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

fof(c_0_11,negated_conjecture,
    ( s__instance(esk1_0,s__Class32_2)
    & ~ s__instance(esk1_0,s__Class32_1) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).

cnf(c_0_12,plain,
    ( s__instance(X1,X2)
    | ~ s__subclass(X3,X2)
    | ~ s__instance(X1,X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).

cnf(c_0_13,plain,
    s__subclass(s__Class32_3,s__Class32_1),
    inference(split_conjunct,[status(thm)],[local_9]) ).

cnf(c_0_14,plain,
    s__subclass(s__Class32_2,s__Class32_3),
    inference(split_conjunct,[status(thm)],[local_8]) ).

cnf(c_0_15,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_1),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_16,plain,
    ( s__instance(X1,s__Class32_1)
    | ~ s__instance(X1,s__Class32_3) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,plain,
    ( s__instance(X1,s__Class32_3)
    | ~ s__instance(X1,s__Class32_2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    s__instance(esk1_0,s__Class32_2),
    inference(split_conjunct,[status(thm)],[c_0_11]) ).

cnf(c_0_19,negated_conjecture,
    ~ s__instance(esk1_0,s__Class32_3),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : CSR101+2 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.03/0.12  % Command  : run_ET %s %d
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat Jun 11 03:01:29 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 6.98/8.16  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 6.98/8.16  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 6.98/8.16  # Preprocessing time       : 0.454 s
% 6.98/8.16  
% 6.98/8.16  # Proof found!
% 6.98/8.16  # SZS status Theorem
% 6.98/8.16  # SZS output start CNFRefutation
% See solution above
% 6.98/8.16  # Proof object total steps             : 21
% 6.98/8.16  # Proof object clause steps            : 12
% 6.98/8.16  # Proof object formula steps           : 9
% 6.98/8.16  # Proof object conjectures             : 7
% 6.98/8.16  # Proof object clause conjectures      : 4
% 6.98/8.16  # Proof object formula conjectures     : 3
% 6.98/8.16  # Proof object initial clauses used    : 7
% 6.98/8.16  # Proof object initial formulas used   : 5
% 6.98/8.16  # Proof object generating inferences   : 4
% 6.98/8.16  # Proof object simplifying inferences  : 3
% 6.98/8.16  # Training examples: 0 positive, 0 negative
% 6.98/8.16  # Parsed axioms                        : 37991
% 6.98/8.16  # Removed by relevancy pruning/SinE    : 37906
% 6.98/8.16  # Initial clauses                      : 90
% 6.98/8.16  # Removed in clause preprocessing      : 4
% 6.98/8.16  # Initial clauses in saturation        : 86
% 6.98/8.16  # Processed clauses                    : 103
% 6.98/8.16  # ...of these trivial                  : 8
% 6.98/8.16  # ...subsumed                          : 0
% 6.98/8.16  # ...remaining for further processing  : 95
% 6.98/8.16  # Other redundant clauses eliminated   : 0
% 6.98/8.16  # Clauses deleted for lack of memory   : 0
% 6.98/8.16  # Backward-subsumed                    : 0
% 6.98/8.16  # Backward-rewritten                   : 0
% 6.98/8.16  # Generated clauses                    : 362
% 6.98/8.16  # ...of the previous two non-trivial   : 342
% 6.98/8.16  # Contextual simplify-reflections      : 8
% 6.98/8.16  # Paramodulations                      : 362
% 6.98/8.16  # Factorizations                       : 0
% 6.98/8.16  # Equation resolutions                 : 0
% 6.98/8.16  # Current number of processed clauses  : 95
% 6.98/8.16  #    Positive orientable unit clauses  : 82
% 6.98/8.16  #    Positive unorientable unit clauses: 0
% 6.98/8.16  #    Negative unit clauses             : 2
% 6.98/8.16  #    Non-unit-clauses                  : 11
% 6.98/8.16  # Current number of unprocessed clauses: 325
% 6.98/8.16  # ...number of literals in the above   : 515
% 6.98/8.16  # Current number of archived formulas  : 0
% 6.98/8.16  # Current number of archived clauses   : 0
% 6.98/8.16  # Clause-clause subsumption calls (NU) : 23
% 6.98/8.16  # Rec. Clause-clause subsumption calls : 19
% 6.98/8.16  # Non-unit clause-clause subsumptions  : 8
% 6.98/8.16  # Unit Clause-clause subsumption calls : 8
% 6.98/8.16  # Rewrite failures with RHS unbound    : 0
% 6.98/8.16  # BW rewrite match attempts            : 0
% 6.98/8.16  # BW rewrite match successes           : 0
% 6.98/8.16  # Condensation attempts                : 0
% 6.98/8.16  # Condensation successes               : 0
% 6.98/8.16  # Termbank termtop insertions          : 252447
% 6.98/8.16  
% 6.98/8.16  # -------------------------------------------------
% 6.98/8.16  # User time                : 0.430 s
% 6.98/8.16  # System time              : 0.027 s
% 6.98/8.16  # Total time               : 0.457 s
% 6.98/8.16  # Maximum resident set size: 54616 pages
%------------------------------------------------------------------------------