TSTP Solution File: PHI014+1 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n020.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 0.25s 1.42s
% Output   : CNFRefutation 0.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   7 unt;   0 def)
%            Number of atoms       :  113 (   0 equ)
%            Maximal formula atoms :   20 (   4 avg)
%            Number of connectives :  141 (  56   ~;  61   |;  15   &)
%                                         (   1 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-1 aty)
%            Number of variables   :   37 (   3 sgn  14   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(description_theorem_2,axiom,
    ! [X1] :
      ( property(X1)
     => ( ? [X2] :
            ( object(X2)
            & is_the(X2,X1) )
       => ! [X3] :
            ( object(X3)
           => ( is_the(X3,X1)
             => exemplifies_property(X1,X3) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',description_theorem_2) ).

fof(description_is_property_and_described_is_object,axiom,
    ! [X4,X1] :
      ( is_the(X4,X1)
     => ( property(X1)
        & object(X4) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',description_is_property_and_described_is_object) ).

fof(premise_2,axiom,
    ! [X4] :
      ( object(X4)
     => ( ( is_the(X4,none_greater)
          & ~ exemplifies_property(existence,X4) )
       => ? [X2] :
            ( object(X2)
            & exemplifies_relation(greater_than,X2,X4)
            & exemplifies_property(conceivable,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',premise_2) ).

fof(definition_none_greater,axiom,
    ! [X4] :
      ( object(X4)
     => ( exemplifies_property(none_greater,X4)
      <=> ( exemplifies_property(conceivable,X4)
          & ~ ? [X2] :
                ( object(X2)
                & exemplifies_relation(greater_than,X2,X4)
                & exemplifies_property(conceivable,X2) ) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',definition_none_greater) ).

fof(definition_god,axiom,
    is_the(god,none_greater),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',definition_god) ).

fof(god_exists,conjecture,
    exemplifies_property(existence,god),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',god_exists) ).

fof(c_0_6,plain,
    ! [X4,X5,X6] :
      ( ~ property(X4)
      | ~ object(X5)
      | ~ is_the(X5,X4)
      | ~ object(X6)
      | ~ is_the(X6,X4)
      | exemplifies_property(X4,X6) ),
    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)],[description_theorem_2])])])])]) ).

fof(c_0_7,plain,
    ! [X5,X6] :
      ( ( property(X6)
        | ~ is_the(X5,X6) )
      & ( object(X5)
        | ~ is_the(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])]) ).

fof(c_0_8,plain,
    ! [X5] :
      ( ( object(esk2_1(X5))
        | ~ is_the(X5,none_greater)
        | exemplifies_property(existence,X5)
        | ~ object(X5) )
      & ( exemplifies_relation(greater_than,esk2_1(X5),X5)
        | ~ is_the(X5,none_greater)
        | exemplifies_property(existence,X5)
        | ~ object(X5) )
      & ( exemplifies_property(conceivable,esk2_1(X5))
        | ~ is_the(X5,none_greater)
        | exemplifies_property(existence,X5)
        | ~ object(X5) ) ),
    inference(distribute,[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)],[inference(fof_simplification,[status(thm)],[premise_2])])])])])])]) ).

cnf(c_0_9,plain,
    ( exemplifies_property(X1,X2)
    | ~ is_the(X2,X1)
    | ~ object(X2)
    | ~ is_the(X3,X1)
    | ~ object(X3)
    | ~ property(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,plain,
    ( object(X1)
    | ~ is_the(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

cnf(c_0_11,plain,
    ( property(X2)
    | ~ is_the(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_7]) ).

fof(c_0_12,plain,
    ! [X5,X6] :
      ( ( exemplifies_property(conceivable,X5)
        | ~ exemplifies_property(none_greater,X5)
        | ~ object(X5) )
      & ( ~ object(X6)
        | ~ exemplifies_relation(greater_than,X6,X5)
        | ~ exemplifies_property(conceivable,X6)
        | ~ exemplifies_property(none_greater,X5)
        | ~ object(X5) )
      & ( object(esk1_1(X5))
        | ~ exemplifies_property(conceivable,X5)
        | exemplifies_property(none_greater,X5)
        | ~ object(X5) )
      & ( exemplifies_relation(greater_than,esk1_1(X5),X5)
        | ~ exemplifies_property(conceivable,X5)
        | exemplifies_property(none_greater,X5)
        | ~ object(X5) )
      & ( exemplifies_property(conceivable,esk1_1(X5))
        | ~ exemplifies_property(conceivable,X5)
        | exemplifies_property(none_greater,X5)
        | ~ object(X5) ) ),
    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)],[definition_none_greater])])])])])])]) ).

cnf(c_0_13,plain,
    ( exemplifies_property(existence,X1)
    | exemplifies_relation(greater_than,esk2_1(X1),X1)
    | ~ object(X1)
    | ~ is_the(X1,none_greater) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_14,plain,
    ( exemplifies_property(existence,X1)
    | object(esk2_1(X1))
    | ~ object(X1)
    | ~ is_the(X1,none_greater) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_15,plain,
    ( exemplifies_property(existence,X1)
    | exemplifies_property(conceivable,esk2_1(X1))
    | ~ object(X1)
    | ~ is_the(X1,none_greater) ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

cnf(c_0_16,plain,
    ( exemplifies_property(X1,X2)
    | ~ is_the(X3,X1)
    | ~ is_the(X2,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_9,c_0_10]),c_0_10]),c_0_11]) ).

cnf(c_0_17,plain,
    is_the(god,none_greater),
    inference(split_conjunct,[status(thm)],[definition_god]) ).

fof(c_0_18,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(assume_negation,[status(cth)],[god_exists]) ).

cnf(c_0_19,plain,
    ( ~ object(X1)
    | ~ exemplifies_property(none_greater,X1)
    | ~ exemplifies_property(conceivable,X2)
    | ~ exemplifies_relation(greater_than,X2,X1)
    | ~ object(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_12]) ).

cnf(c_0_20,plain,
    ( exemplifies_relation(greater_than,esk2_1(X1),X1)
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_21,plain,
    ( exemplifies_property(existence,X1)
    | object(esk2_1(X1))
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_14,c_0_10]) ).

cnf(c_0_22,plain,
    ( exemplifies_property(conceivable,esk2_1(X1))
    | exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[c_0_15,c_0_10]) ).

cnf(c_0_23,plain,
    ( exemplifies_property(none_greater,X1)
    | ~ is_the(X1,none_greater) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

fof(c_0_24,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

cnf(c_0_25,plain,
    ( exemplifies_property(existence,X1)
    | ~ is_the(X1,none_greater) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_10]),c_0_21]),c_0_22]),c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    ~ exemplifies_property(existence,god),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_27,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_17]),c_0_26]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PHI014+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13  % Command  : run_ET %s %d
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  2 01:19:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.25/1.42  # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.25/1.42  # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.25/1.42  # Preprocessing time       : 0.014 s
% 0.25/1.42  
% 0.25/1.42  # Failure: Out of unprocessed clauses!
% 0.25/1.42  # OLD status GaveUp
% 0.25/1.42  # Parsed axioms                        : 6
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 2
% 0.25/1.42  # Initial clauses                      : 10
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 10
% 0.25/1.42  # Processed clauses                    : 14
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 2
% 0.25/1.42  # ...remaining for further processing  : 12
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 0
% 0.25/1.42  # Backward-rewritten                   : 0
% 0.25/1.42  # Generated clauses                    : 5
% 0.25/1.42  # ...of the previous two non-trivial   : 4
% 0.25/1.42  # Contextual simplify-reflections      : 4
% 0.25/1.42  # Paramodulations                      : 5
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 12
% 0.25/1.42  #    Positive orientable unit clauses  : 1
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 1
% 0.25/1.42  #    Non-unit-clauses                  : 10
% 0.25/1.42  # Current number of unprocessed clauses: 0
% 0.25/1.42  # ...number of literals in the above   : 0
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 0
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 21
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 13
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 6
% 0.25/1.42  # Unit Clause-clause subsumption calls : 0
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 0
% 0.25/1.42  # BW rewrite match successes           : 0
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 841
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.013 s
% 0.25/1.42  # System time              : 0.002 s
% 0.25/1.42  # Total time               : 0.014 s
% 0.25/1.42  # Maximum resident set size: 2772 pages
% 0.25/1.42  # Running protocol protocol_eprover_f171197f65f27d1ba69648a20c844832c84a5dd7 for 23 seconds:
% 0.25/1.42  # Preprocessing time       : 0.016 s
% 0.25/1.42  
% 0.25/1.42  # Proof found!
% 0.25/1.42  # SZS status Theorem
% 0.25/1.42  # SZS output start CNFRefutation
% See solution above
% 0.25/1.42  # Proof object total steps             : 28
% 0.25/1.42  # Proof object clause steps            : 16
% 0.25/1.42  # Proof object formula steps           : 12
% 0.25/1.42  # Proof object conjectures             : 4
% 0.25/1.42  # Proof object clause conjectures      : 1
% 0.25/1.42  # Proof object formula conjectures     : 3
% 0.25/1.42  # Proof object initial clauses used    : 9
% 0.25/1.42  # Proof object initial formulas used   : 6
% 0.25/1.42  # Proof object generating inferences   : 3
% 0.25/1.42  # Proof object simplifying inferences  : 11
% 0.25/1.42  # Training examples: 0 positive, 0 negative
% 0.25/1.42  # Parsed axioms                        : 6
% 0.25/1.42  # Removed by relevancy pruning/SinE    : 0
% 0.25/1.42  # Initial clauses                      : 13
% 0.25/1.42  # Removed in clause preprocessing      : 0
% 0.25/1.42  # Initial clauses in saturation        : 13
% 0.25/1.42  # Processed clauses                    : 20
% 0.25/1.42  # ...of these trivial                  : 0
% 0.25/1.42  # ...subsumed                          : 0
% 0.25/1.42  # ...remaining for further processing  : 20
% 0.25/1.42  # Other redundant clauses eliminated   : 0
% 0.25/1.42  # Clauses deleted for lack of memory   : 0
% 0.25/1.42  # Backward-subsumed                    : 3
% 0.25/1.42  # Backward-rewritten                   : 1
% 0.25/1.42  # Generated clauses                    : 10
% 0.25/1.42  # ...of the previous two non-trivial   : 9
% 0.25/1.42  # Contextual simplify-reflections      : 10
% 0.25/1.42  # Paramodulations                      : 10
% 0.25/1.42  # Factorizations                       : 0
% 0.25/1.42  # Equation resolutions                 : 0
% 0.25/1.42  # Current number of processed clauses  : 16
% 0.25/1.42  #    Positive orientable unit clauses  : 5
% 0.25/1.42  #    Positive unorientable unit clauses: 0
% 0.25/1.42  #    Negative unit clauses             : 1
% 0.25/1.42  #    Non-unit-clauses                  : 10
% 0.25/1.42  # Current number of unprocessed clauses: 1
% 0.25/1.42  # ...number of literals in the above   : 5
% 0.25/1.42  # Current number of archived formulas  : 0
% 0.25/1.42  # Current number of archived clauses   : 4
% 0.25/1.42  # Clause-clause subsumption calls (NU) : 26
% 0.25/1.42  # Rec. Clause-clause subsumption calls : 24
% 0.25/1.42  # Non-unit clause-clause subsumptions  : 13
% 0.25/1.42  # Unit Clause-clause subsumption calls : 14
% 0.25/1.42  # Rewrite failures with RHS unbound    : 0
% 0.25/1.42  # BW rewrite match attempts            : 1
% 0.25/1.42  # BW rewrite match successes           : 1
% 0.25/1.42  # Condensation attempts                : 0
% 0.25/1.42  # Condensation successes               : 0
% 0.25/1.42  # Termbank termtop insertions          : 1062
% 0.25/1.42  
% 0.25/1.42  # -------------------------------------------------
% 0.25/1.42  # User time                : 0.016 s
% 0.25/1.42  # System time              : 0.001 s
% 0.25/1.42  # Total time               : 0.017 s
% 0.25/1.42  # Maximum resident set size: 2772 pages
%------------------------------------------------------------------------------