TSTP Solution File: PUZ140^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : PUZ140^2 : TPTP v8.2.0. Released v6.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n023.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 02:25:19 EDT 2024

% Result   : Theorem 0.19s 0.48s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   4 unt;   6 typ;   0 def)
%            Number of atoms       :   22 (  12 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   45 (   9   ~;   5   |;   6   &;  25   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   15 (   0   ^  11   !;   4   ?;  15   :)

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

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

thf(decl_22,type,
    coffee: beverage ).

thf(decl_24,type,
    coffee_mixture: syrup > beverage ).

thf(decl_25,type,
    hot: beverage > $o ).

thf(decl_26,type,
    esk1_1: ( syrup > beverage ) > syrup ).

thf(there_is_hot_coffee,conjecture,
    ? [X2: syrup > beverage] :
    ! [X1: syrup] :
    ? [X3: beverage] :
      ( ( X3
        = ( X2 @ X1 ) )
      & ( X3 = coffee )
      & ( hot @ X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',there_is_hot_coffee) ).

thf(coffee_and_syrup_is_hot_coffee,axiom,
    ! [X1: syrup] :
      ( ( ( coffee_mixture @ X1 )
        = coffee )
      & ( hot @ ( coffee_mixture @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',coffee_and_syrup_is_hot_coffee) ).

thf(c_0_2,negated_conjecture,
    ~ ? [X2: syrup > beverage] :
      ! [X1: syrup] :
      ? [X3: beverage] :
        ( ( X3
          = ( X2 @ X1 ) )
        & ( X3 = coffee )
        & ( hot @ X3 ) ),
    inference(assume_negation,[status(cth)],[there_is_hot_coffee]) ).

thf(c_0_3,negated_conjecture,
    ! [X9: syrup > beverage,X11: beverage] :
      ( ( X11
       != ( X9 @ ( esk1_1 @ X9 ) ) )
      | ( X11 != coffee )
      | ~ ( hot @ X11 ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).

thf(c_0_4,plain,
    ! [X8: syrup] :
      ( ( ( coffee_mixture @ X8 )
        = coffee )
      & ( hot @ ( coffee_mixture @ X8 ) ) ),
    inference(variable_rename,[status(thm)],[coffee_and_syrup_is_hot_coffee]) ).

thf(c_0_5,negated_conjecture,
    ! [X2: syrup > beverage,X3: beverage] :
      ( ( X3
       != ( X2 @ ( esk1_1 @ X2 ) ) )
      | ( X3 != coffee )
      | ~ ( hot @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,plain,
    ! [X1: syrup] : ( hot @ ( coffee_mixture @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_7,plain,
    ! [X1: syrup] :
      ( ( coffee_mixture @ X1 )
      = coffee ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ! [X2: syrup > beverage] :
      ( ( ( X2 @ ( esk1_1 @ X2 ) )
       != coffee )
      | ~ ( hot @ ( X2 @ ( esk1_1 @ X2 ) ) ) ),
    inference(er,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    hot @ coffee,
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_7]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ140^2 : TPTP v8.2.0. Released v6.4.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n023.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    : 300
% 0.13/0.34  % DateTime   : Sat May 18 10:42:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running higher-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.19/0.48  # Version: 3.1.0-ho
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48  # Starting new_bool_9 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho4 with 300s (1) cores
% 0.19/0.48  # Starting post_as_ho2 with 300s (1) cores
% 0.19/0.48  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.19/0.48  # Starting full_lambda_10 with 300s (1) cores
% 0.19/0.48  # Starting new_ho_8 with 300s (1) cores
% 0.19/0.48  # post_as_ho12 with pid 26310 completed with status 0
% 0.19/0.48  # Result found by post_as_ho12
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: HUHSS-FFSF21-SSSFFSNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48  # new_ho_10 with pid 26318 completed with status 0
% 0.19/0.48  # Result found by new_ho_10
% 0.19/0.48  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.19/0.48  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48  # Starting post_as_ho12 with 300s (1) cores
% 0.19/0.48  # No SInE strategy applied
% 0.19/0.48  # Search class: HUHSS-FFSF21-SSSFFSNN
% 0.19/0.48  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.48  # Starting new_ho_10 with 163s (1) cores
% 0.19/0.48  # Preprocessing time       : 0.001 s
% 0.19/0.48  # Presaturation interreduction done
% 0.19/0.48  
% 0.19/0.48  # Proof found!
% 0.19/0.48  # SZS status Theorem
% 0.19/0.48  # SZS output start CNFRefutation
% See solution above
% 0.19/0.48  # Parsed axioms                        : 9
% 0.19/0.48  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.48  # Initial clauses                      : 10
% 0.19/0.48  # Removed in clause preprocessing      : 6
% 0.19/0.48  # Initial clauses in saturation        : 4
% 0.19/0.48  # Processed clauses                    : 9
% 0.19/0.48  # ...of these trivial                  : 0
% 0.19/0.48  # ...subsumed                          : 0
% 0.19/0.48  # ...remaining for further processing  : 9
% 0.19/0.48  # Other redundant clauses eliminated   : 1
% 0.19/0.48  # Clauses deleted for lack of memory   : 0
% 0.19/0.48  # Backward-subsumed                    : 0
% 0.19/0.48  # Backward-rewritten                   : 0
% 0.19/0.48  # Generated clauses                    : 3
% 0.19/0.48  # ...of the previous two non-redundant : 2
% 0.19/0.48  # ...aggressively subsumed             : 0
% 0.19/0.48  # Contextual simplify-reflections      : 0
% 0.19/0.48  # Paramodulations                      : 1
% 0.19/0.48  # Factorizations                       : 0
% 0.19/0.48  # NegExts                              : 0
% 0.19/0.48  # Equation resolutions                 : 1
% 0.19/0.48  # Disequality decompositions           : 0
% 0.19/0.48  # Total rewrite steps                  : 2
% 0.19/0.48  # ...of those cached                   : 0
% 0.19/0.48  # Propositional unsat checks           : 0
% 0.19/0.48  #    Propositional check models        : 0
% 0.19/0.48  #    Propositional check unsatisfiable : 0
% 0.19/0.48  #    Propositional clauses             : 0
% 0.19/0.48  #    Propositional clauses after purity: 0
% 0.19/0.48  #    Propositional unsat core size     : 0
% 0.19/0.48  #    Propositional preprocessing time  : 0.000
% 0.19/0.48  #    Propositional encoding time       : 0.000
% 0.19/0.48  #    Propositional solver time         : 0.000
% 0.19/0.48  #    Success case prop preproc time    : 0.000
% 0.19/0.48  #    Success case prop encoding time   : 0.000
% 0.19/0.48  #    Success case prop solver time     : 0.000
% 0.19/0.48  # Current number of processed clauses  : 4
% 0.19/0.48  #    Positive orientable unit clauses  : 3
% 0.19/0.48  #    Positive unorientable unit clauses: 0
% 0.19/0.48  #    Negative unit clauses             : 0
% 0.19/0.48  #    Non-unit-clauses                  : 1
% 0.19/0.48  # Current number of unprocessed clauses: 1
% 0.19/0.48  # ...number of literals in the above   : 1
% 0.19/0.48  # Current number of archived formulas  : 0
% 0.19/0.48  # Current number of archived clauses   : 4
% 0.19/0.48  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.48  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.48  # Unit Clause-clause subsumption calls : 0
% 0.19/0.48  # Rewrite failures with RHS unbound    : 0
% 0.19/0.48  # BW rewrite match attempts            : 2
% 0.19/0.48  # BW rewrite match successes           : 0
% 0.19/0.48  # Condensation attempts                : 9
% 0.19/0.48  # Condensation successes               : 0
% 0.19/0.48  # Termbank termtop insertions          : 313
% 0.19/0.48  # Search garbage collected termcells   : 57
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.003 s
% 0.19/0.48  # System time              : 0.001 s
% 0.19/0.48  # Total time               : 0.004 s
% 0.19/0.48  # Maximum resident set size: 1768 pages
% 0.19/0.48  
% 0.19/0.48  # -------------------------------------------------
% 0.19/0.48  # User time                : 0.004 s
% 0.19/0.48  # System time              : 0.004 s
% 0.19/0.48  # Total time               : 0.008 s
% 0.19/0.48  # Maximum resident set size: 1716 pages
% 0.19/0.48  % E---3.1 exiting
% 0.19/0.48  % E exiting
%------------------------------------------------------------------------------