↑ Up

ET---2.0.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n017.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 : Mon Jul 18 16:45:31 EDT 2022

% Result   : Theorem 0.24s 1.42s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   3 unt;   0 def)
%            Number of atoms       :   52 (   3 equ)
%            Maximal formula atoms :    6 (   3 avg)
%            Number of connectives :   56 (  18   ~;  15   |;  12   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   25 (   2 sgn  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(description_theorem_2,conjecture,
    ! [X2] :
      ( property(X2)
     => ( ? [X3] :
            ( object(X3)
            & is_the(X3,X2) )
       => ! [X4] :
            ( object(X4)
           => ( is_the(X4,X2)
             => exemplifies_property(X2,X4) ) ) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',description_theorem_2) ).

fof(lemma_1,axiom,
    ! [X1,X2,X3] :
      ( ( object(X1)
        & property(X2)
        & object(X3) )
     => ( ( is_the(X1,X2)
          & X1 = X3 )
       => exemplifies_property(X2,X3) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',lemma_1) ).

fof(description_is_property_and_described_is_object,axiom,
    ! [X1,X2] :
      ( is_the(X1,X2)
     => ( property(X2)
        & object(X1) ) ),
    file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',description_is_property_and_described_is_object) ).

fof(c_0_3,negated_conjecture,
    ~ ! [X2] :
        ( property(X2)
       => ( ? [X3] :
              ( object(X3)
              & is_the(X3,X2) )
         => ! [X4] :
              ( object(X4)
             => ( is_the(X4,X2)
               => exemplifies_property(X2,X4) ) ) ) ),
    inference(assume_negation,[status(cth)],[description_theorem_2]) ).

fof(c_0_4,plain,
    ! [X4,X5,X6] :
      ( ~ object(X4)
      | ~ property(X5)
      | ~ object(X6)
      | ~ is_the(X4,X5)
      | X4 != X6
      | exemplifies_property(X5,X6) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lemma_1])]) ).

fof(c_0_5,plain,
    ! [X3,X4] :
      ( ( property(X4)
        | ~ is_the(X3,X4) )
      & ( object(X3)
        | ~ is_the(X3,X4) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])]) ).

fof(c_0_6,negated_conjecture,
    ( property(esk1_0)
    & object(esk2_0)
    & is_the(esk2_0,esk1_0)
    & object(esk3_0)
    & is_the(esk3_0,esk1_0)
    & ~ exemplifies_property(esk1_0,esk3_0) ),
    inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])])]) ).

cnf(c_0_7,plain,
    ( exemplifies_property(X1,X2)
    | X3 != X2
    | ~ is_the(X3,X1)
    | ~ object(X2)
    | ~ property(X1)
    | ~ object(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_8,plain,
    ( property(X2)
    | ~ is_the(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_9,plain,
    ( object(X1)
    | ~ is_the(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    ~ exemplifies_property(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,plain,
    ( exemplifies_property(X1,X2)
    | ~ is_the(X2,X1) ),
    inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_9]) ).

cnf(c_0_12,negated_conjecture,
    is_the(esk3_0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PHI011+1 : TPTP v8.1.0. Released v7.2.0.
% 0.03/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n017.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 : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 00:16:12 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.24/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.24/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.24/1.42  # Preprocessing time       : 0.014 s
% 0.24/1.42  
% 0.24/1.42  # Proof found!
% 0.24/1.42  # SZS status Theorem
% 0.24/1.42  # SZS output start CNFRefutation
% See solution above
% 0.24/1.42  # Proof object total steps             : 14
% 0.24/1.42  # Proof object clause steps            : 7
% 0.24/1.42  # Proof object formula steps           : 7
% 0.24/1.42  # Proof object conjectures             : 6
% 0.24/1.42  # Proof object clause conjectures      : 3
% 0.24/1.42  # Proof object formula conjectures     : 3
% 0.24/1.42  # Proof object initial clauses used    : 5
% 0.24/1.42  # Proof object initial formulas used   : 3
% 0.24/1.42  # Proof object generating inferences   : 1
% 0.24/1.42  # Proof object simplifying inferences  : 6
% 0.24/1.42  # Training examples: 0 positive, 0 negative
% 0.24/1.42  # Parsed axioms                        : 5
% 0.24/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.24/1.42  # Initial clauses                      : 12
% 0.24/1.42  # Removed in clause preprocessing      : 0
% 0.24/1.42  # Initial clauses in saturation        : 12
% 0.24/1.42  # Processed clauses                    : 14
% 0.24/1.42  # ...of these trivial                  : 0
% 0.24/1.42  # ...subsumed                          : 0
% 0.24/1.42  # ...remaining for further processing  : 14
% 0.24/1.42  # Other redundant clauses eliminated   : 1
% 0.24/1.42  # Clauses deleted for lack of memory   : 0
% 0.24/1.42  # Backward-subsumed                    : 0
% 0.24/1.42  # Backward-rewritten                   : 0
% 0.24/1.42  # Generated clauses                    : 9
% 0.24/1.42  # ...of the previous two non-trivial   : 2
% 0.24/1.42  # Contextual simplify-reflections      : 3
% 0.24/1.42  # Paramodulations                      : 8
% 0.24/1.42  # Factorizations                       : 0
% 0.24/1.42  # Equation resolutions                 : 1
% 0.24/1.42  # Current number of processed clauses  : 13
% 0.24/1.42  #    Positive orientable unit clauses  : 5
% 0.24/1.42  #    Positive unorientable unit clauses: 0
% 0.24/1.42  #    Negative unit clauses             : 2
% 0.24/1.42  #    Non-unit-clauses                  : 6
% 0.24/1.42  # Current number of unprocessed clauses: 0
% 0.24/1.42  # ...number of literals in the above   : 0
% 0.24/1.42  # Current number of archived formulas  : 0
% 0.24/1.42  # Current number of archived clauses   : 0
% 0.24/1.42  # Clause-clause subsumption calls (NU) : 10
% 0.24/1.42  # Rec. Clause-clause subsumption calls : 6
% 0.24/1.42  # Non-unit clause-clause subsumptions  : 3
% 0.24/1.42  # Unit Clause-clause subsumption calls : 0
% 0.24/1.42  # Rewrite failures with RHS unbound    : 0
% 0.24/1.42  # BW rewrite match attempts            : 0
% 0.24/1.42  # BW rewrite match successes           : 0
% 0.24/1.42  # Condensation attempts                : 0
% 0.24/1.42  # Condensation successes               : 0
% 0.24/1.42  # Termbank termtop insertions          : 596
% 0.24/1.42  
% 0.24/1.42  # -------------------------------------------------
% 0.24/1.42  # User time                : 0.014 s
% 0.24/1.42  # System time              : 0.001 s
% 0.24/1.42  # Total time               : 0.015 s
% 0.24/1.42  # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------