TSTP Solution File: PUZ146^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ146^1 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% 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  : 300s
% DateTime : Tue May 21 02:25:20 EDT 2024

% Result   : Theorem 0.40s 0.55s
% Output   : CNFRefutation 0.40s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   23 (  13 unt;   8 typ;   0 def)
%            Number of atoms       :   27 (   5 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   34 (   6   ~;   1   |;   0   &;  26   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    2 (   0   ^   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    earthling: $tType ).

thf(decl_sort2,type,
    hobby: $tType ).

thf(decl_22,type,
    peter: earthling ).

thf(decl_23,type,
    mary: earthling ).

thf(decl_24,type,
    beer_drinking: hobby ).

thf(decl_27,type,
    has_hobby: earthling > hobby > $o ).

thf(decl_28,type,
    peters_hobbies: hobby > $o ).

thf(decl_29,type,
    marys_hobbies: hobby > $o ).

thf(peter_and_mary_have_different_hobbies,conjecture,
    peters_hobbies != marys_hobbies,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peter_and_mary_have_different_hobbies) ).

thf(peters_hobbies_001,axiom,
    ( peters_hobbies
    = ( has_hobby @ peter ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peters_hobbies_001) ).

thf(marys_hobbies_002,axiom,
    ( marys_hobbies
    = ( has_hobby @ mary ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',marys_hobbies_002) ).

thf(mary_does_not_do_beer_drinking,axiom,
    ~ ( marys_hobbies @ beer_drinking ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mary_does_not_do_beer_drinking) ).

thf(peter_does_beer_drinking,axiom,
    peters_hobbies @ beer_drinking,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',peter_does_beer_drinking) ).

thf(c_0_5,negated_conjecture,
    ( ( has_hobby @ peter )
    = ( has_hobby @ mary ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[peter_and_mary_have_different_hobbies]),peters_hobbies_001]),marys_hobbies_002])]) ).

thf(c_0_6,plain,
    ~ ( has_hobby @ mary @ beer_drinking ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[mary_does_not_do_beer_drinking,marys_hobbies_002])]) ).

thf(c_0_7,negated_conjecture,
    ( ( has_hobby @ peter )
    = ( has_hobby @ mary ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ~ ( has_hobby @ mary @ beer_drinking ),
    inference(fof_nnf,[status(thm)],[c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: hobby] :
      ( ( has_hobby @ mary @ X1 )
    <=> ( has_hobby @ peter @ X1 ) ),
    inference(arg_cong,[status(thm)],[c_0_7]) ).

thf(c_0_10,plain,
    has_hobby @ peter @ beer_drinking,
    inference(apply_def,[status(thm)],[peter_does_beer_drinking,peters_hobbies_001]) ).

thf(c_0_11,plain,
    ~ ( has_hobby @ mary @ beer_drinking ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_12,negated_conjecture,
    ! [X1: hobby] :
      ( ( has_hobby @ mary @ X1 )
      | ~ ( has_hobby @ peter @ X1 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_9]) ).

thf(c_0_13,plain,
    has_hobby @ peter @ beer_drinking,
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

thf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.15  % Problem    : PUZ146^1 : TPTP v8.2.0. Released v6.4.0.
% 0.04/0.16  % Command    : run_E %s %d THM
% 0.16/0.38  % Computer : n013.cluster.edu
% 0.16/0.38  % Model    : x86_64 x86_64
% 0.16/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38  % Memory   : 8042.1875MB
% 0.16/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38  % CPULimit   : 300
% 0.16/0.38  % WCLimit    : 300
% 0.16/0.38  % DateTime   : Sat May 18 11:01:53 EDT 2024
% 0.16/0.38  % CPUTime    : 
% 0.38/0.54  Running higher-order theorem proving
% 0.38/0.54  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.55  # Version: 3.1.0-ho
% 0.40/0.55  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.40/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.55  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.40/0.55  # Starting post_as_ho12 with 300s (1) cores
% 0.40/0.55  # Starting post_as_ho4 with 300s (1) cores
% 0.40/0.55  # Starting ehoh_best6_lambda with 300s (1) cores
% 0.40/0.55  # post_as_ho12 with pid 5842 completed with status 0
% 0.40/0.55  # Result found by post_as_ho12
% 0.40/0.55  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.40/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.55  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.40/0.55  # Starting post_as_ho12 with 300s (1) cores
% 0.40/0.55  # No SInE strategy applied
% 0.40/0.55  # Search class: HUUSF-FFSS00-SSSFMFNN
% 0.40/0.55  # partial match(2): HUUSF-FFSF00-SSSFFFNN
% 0.40/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.55  # Starting new_ho_10 with 163s (1) cores
% 0.40/0.55  # new_ho_10 with pid 5846 completed with status 0
% 0.40/0.55  # Result found by new_ho_10
% 0.40/0.55  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.40/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.55  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.40/0.55  # Starting post_as_ho12 with 300s (1) cores
% 0.40/0.55  # No SInE strategy applied
% 0.40/0.55  # Search class: HUUSF-FFSS00-SSSFMFNN
% 0.40/0.55  # partial match(2): HUUSF-FFSF00-SSSFFFNN
% 0.40/0.55  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.55  # Starting new_ho_10 with 163s (1) cores
% 0.40/0.55  # Preprocessing time       : 0.001 s
% 0.40/0.55  # Presaturation interreduction done
% 0.40/0.55  
% 0.40/0.55  # Proof found!
% 0.40/0.55  # SZS status Theorem
% 0.40/0.55  # SZS output start CNFRefutation
% See solution above
% 0.40/0.55  # Parsed axioms                        : 19
% 0.40/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.40/0.55  # Initial clauses                      : 19
% 0.40/0.55  # Removed in clause preprocessing      : 10
% 0.40/0.55  # Initial clauses in saturation        : 9
% 0.40/0.55  # Processed clauses                    : 21
% 0.40/0.55  # ...of these trivial                  : 0
% 0.40/0.55  # ...subsumed                          : 0
% 0.40/0.55  # ...remaining for further processing  : 21
% 0.40/0.55  # Other redundant clauses eliminated   : 0
% 0.40/0.55  # Clauses deleted for lack of memory   : 0
% 0.40/0.55  # Backward-subsumed                    : 0
% 0.40/0.55  # Backward-rewritten                   : 0
% 0.40/0.55  # Generated clauses                    : 6
% 0.40/0.55  # ...of the previous two non-redundant : 4
% 0.40/0.55  # ...aggressively subsumed             : 0
% 0.40/0.55  # Contextual simplify-reflections      : 0
% 0.40/0.55  # Paramodulations                      : 3
% 0.40/0.55  # Factorizations                       : 0
% 0.40/0.55  # NegExts                              : 0
% 0.40/0.55  # Equation resolutions                 : 0
% 0.40/0.55  # Disequality decompositions           : 0
% 0.40/0.55  # Total rewrite steps                  : 1
% 0.40/0.55  # ...of those cached                   : 0
% 0.40/0.55  # Propositional unsat checks           : 0
% 0.40/0.55  #    Propositional check models        : 0
% 0.40/0.55  #    Propositional check unsatisfiable : 0
% 0.40/0.55  #    Propositional clauses             : 0
% 0.40/0.55  #    Propositional clauses after purity: 0
% 0.40/0.55  #    Propositional unsat core size     : 0
% 0.40/0.55  #    Propositional preprocessing time  : 0.000
% 0.40/0.55  #    Propositional encoding time       : 0.000
% 0.40/0.55  #    Propositional solver time         : 0.000
% 0.40/0.55  #    Success case prop preproc time    : 0.000
% 0.40/0.55  #    Success case prop encoding time   : 0.000
% 0.40/0.55  #    Success case prop solver time     : 0.000
% 0.40/0.55  # Current number of processed clauses  : 11
% 0.40/0.55  #    Positive orientable unit clauses  : 4
% 0.40/0.55  #    Positive unorientable unit clauses: 0
% 0.40/0.55  #    Negative unit clauses             : 5
% 0.40/0.55  #    Non-unit-clauses                  : 2
% 0.40/0.55  # Current number of unprocessed clauses: 1
% 0.40/0.55  # ...number of literals in the above   : 1
% 0.40/0.55  # Current number of archived formulas  : 0
% 0.40/0.55  # Current number of archived clauses   : 10
% 0.40/0.55  # Clause-clause subsumption calls (NU) : 0
% 0.40/0.55  # Rec. Clause-clause subsumption calls : 0
% 0.40/0.55  # Non-unit clause-clause subsumptions  : 0
% 0.40/0.55  # Unit Clause-clause subsumption calls : 0
% 0.40/0.55  # Rewrite failures with RHS unbound    : 0
% 0.40/0.55  # BW rewrite match attempts            : 0
% 0.40/0.55  # BW rewrite match successes           : 0
% 0.40/0.55  # Condensation attempts                : 21
% 0.40/0.55  # Condensation successes               : 0
% 0.40/0.55  # Termbank termtop insertions          : 487
% 0.40/0.55  # Search garbage collected termcells   : 30
% 0.40/0.55  
% 0.40/0.55  # -------------------------------------------------
% 0.40/0.55  # User time                : 0.004 s
% 0.40/0.55  # System time              : 0.001 s
% 0.40/0.55  # Total time               : 0.005 s
% 0.40/0.55  # Maximum resident set size: 1612 pages
% 0.40/0.55  
% 0.40/0.55  # -------------------------------------------------
% 0.40/0.55  # User time                : 0.004 s
% 0.40/0.55  # System time              : 0.005 s
% 0.40/0.55  # Total time               : 0.009 s
% 0.40/0.55  # Maximum resident set size: 1696 pages
% 0.40/0.55  % E---3.1 exiting
% 0.40/0.56  % E exiting
%------------------------------------------------------------------------------