TSTP Solution File: SEV397^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n010.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 04:08:19 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   83 (   0 equ;   0 cnn)
%            Maximal formula atoms :   44 (   5 avg)
%            Number of connectives :  191 (  40   ~;  52   |;  15   &;  82   @)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :    2 (   0   ^   2   !;   0   ?;   2   :)

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

thf(decl_22,type,
    cZ: a > $o ).

thf(decl_23,type,
    cY: a > $o ).

thf(decl_24,type,
    cX: a > $o ).

thf(decl_25,type,
    esk1_0: a ).

thf(cTHM59_pme,conjecture,
    ! [X1: a] :
      ( ( ( ( cX @ X1 )
          & ( cY @ X1 ) )
        | ( cZ @ X1 ) )
    <=> ( ( ( cX @ X1 )
          | ( cZ @ X1 ) )
        & ( ( cY @ X1 )
          | ( cZ @ X1 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM59_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: a] :
        ( ( ( ( cX @ X1 )
            & ( cY @ X1 ) )
          | ( cZ @ X1 ) )
      <=> ( ( ( cX @ X1 )
            | ( cZ @ X1 ) )
          & ( ( cY @ X1 )
            | ( cZ @ X1 ) ) ) ),
    inference(assume_negation,[status(cth)],[cTHM59_pme]) ).

thf(c_0_2,negated_conjecture,
    ( ( ~ ( cY @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cY @ esk1_0 ) )
    & ( ~ ( cZ @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cY @ esk1_0 ) )
    & ( ~ ( cY @ esk1_0 )
      | ~ ( cZ @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cY @ esk1_0 ) )
    & ( ~ ( cZ @ esk1_0 )
      | ~ ( cZ @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cY @ esk1_0 ) )
    & ( ~ ( cY @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cZ @ esk1_0 ) )
    & ( ~ ( cZ @ esk1_0 )
      | ~ ( cX @ esk1_0 )
      | ~ ( cZ @ esk1_0 ) )
    & ( ~ ( cY @ esk1_0 )
      | ~ ( cZ @ esk1_0 )
      | ~ ( cZ @ esk1_0 ) )
    & ( ~ ( cZ @ esk1_0 )
      | ~ ( cZ @ esk1_0 )
      | ~ ( cZ @ esk1_0 ) )
    & ( ( cX @ esk1_0 )
      | ( cZ @ esk1_0 )
      | ( cX @ esk1_0 )
      | ( cZ @ esk1_0 ) )
    & ( ( cY @ esk1_0 )
      | ( cZ @ esk1_0 )
      | ( cX @ esk1_0 )
      | ( cZ @ esk1_0 ) )
    & ( ( cX @ esk1_0 )
      | ( cZ @ esk1_0 )
      | ( cY @ esk1_0 )
      | ( cZ @ esk1_0 ) )
    & ( ( cY @ esk1_0 )
      | ( cZ @ esk1_0 )
      | ( cY @ esk1_0 )
      | ( cZ @ esk1_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

thf(c_0_3,negated_conjecture,
    ( ( cY @ esk1_0 )
    | ( cZ @ esk1_0 )
    | ( cY @ esk1_0 )
    | ( cZ @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( ~ ( cZ @ esk1_0 )
    | ~ ( cZ @ esk1_0 )
    | ~ ( cZ @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ( ~ ( cY @ esk1_0 )
    | ~ ( cX @ esk1_0 )
    | ~ ( cX @ esk1_0 )
    | ~ ( cY @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ( cZ @ esk1_0 )
    | ( cY @ esk1_0 ) ),
    inference(cn,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    ~ ( cZ @ esk1_0 ),
    inference(cn,[status(thm)],[c_0_4]) ).

thf(c_0_8,negated_conjecture,
    ( ( cX @ esk1_0 )
    | ( cZ @ esk1_0 )
    | ( cX @ esk1_0 )
    | ( cZ @ esk1_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    ( ~ ( cY @ esk1_0 )
    | ~ ( cX @ esk1_0 ) ),
    inference(cn,[status(thm)],[c_0_5]) ).

thf(c_0_10,negated_conjecture,
    cY @ esk1_0,
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_11,negated_conjecture,
    ( ( cZ @ esk1_0 )
    | ( cX @ esk1_0 ) ),
    inference(cn,[status(thm)],[c_0_8]) ).

thf(c_0_12,negated_conjecture,
    ~ ( cX @ esk1_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]) ).

thf(c_0_13,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_11,c_0_7]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 18:38:37 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.14/0.39  Running higher-order theorem proving
% 0.14/0.39  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
% 0.14/0.40  # Version: 3.1.0-ho
% 0.14/0.40  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.40  # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.40  # Starting sh4l with 300s (1) cores
% 0.14/0.40  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.14/0.40  # ho_unfolding_6 with pid 15400 completed with status 0
% 0.14/0.40  # Result found by ho_unfolding_6
% 0.14/0.40  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.40  # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.40  # No SInE strategy applied
% 0.14/0.40  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.14/0.40  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting new_ho_10 with 163s (1) cores
% 0.14/0.40  # new_ho_10 with pid 15405 completed with status 0
% 0.14/0.40  # Result found by new_ho_10
% 0.14/0.40  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.14/0.40  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.40  # Starting new_ho_10 with 1500s (5) cores
% 0.14/0.40  # Starting ho_unfolding_6 with 300s (1) cores
% 0.14/0.40  # No SInE strategy applied
% 0.14/0.40  # Search class: HGHNF-FFSS00-SFFFFFNN
% 0.14/0.40  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.14/0.40  # Starting new_ho_10 with 163s (1) cores
% 0.14/0.40  # Preprocessing time       : 0.001 s
% 0.14/0.40  # Presaturation interreduction done
% 0.14/0.40  
% 0.14/0.40  # Proof found!
% 0.14/0.40  # SZS status Theorem
% 0.14/0.40  # SZS output start CNFRefutation
% See solution above
% 0.14/0.40  # Parsed axioms                        : 5
% 0.14/0.40  # Removed by relevancy pruning/SinE    : 0
% 0.14/0.40  # Initial clauses                      : 16
% 0.14/0.40  # Removed in clause preprocessing      : 4
% 0.14/0.40  # Initial clauses in saturation        : 12
% 0.14/0.40  # Processed clauses                    : 9
% 0.14/0.40  # ...of these trivial                  : 0
% 0.14/0.40  # ...subsumed                          : 5
% 0.14/0.40  # ...remaining for further processing  : 3
% 0.14/0.40  # Other redundant clauses eliminated   : 0
% 0.14/0.40  # Clauses deleted for lack of memory   : 0
% 0.14/0.40  # Backward-subsumed                    : 0
% 0.14/0.40  # Backward-rewritten                   : 0
% 0.14/0.40  # Generated clauses                    : 0
% 0.14/0.40  # ...of the previous two non-redundant : 0
% 0.14/0.40  # ...aggressively subsumed             : 0
% 0.14/0.40  # Contextual simplify-reflections      : 0
% 0.14/0.40  # Paramodulations                      : 0
% 0.14/0.40  # Factorizations                       : 0
% 0.14/0.40  # NegExts                              : 0
% 0.14/0.40  # Equation resolutions                 : 0
% 0.14/0.40  # Disequality decompositions           : 0
% 0.14/0.40  # Total rewrite steps                  : 5
% 0.14/0.40  # ...of those cached                   : 4
% 0.14/0.40  # Propositional unsat checks           : 0
% 0.14/0.40  #    Propositional check models        : 0
% 0.14/0.40  #    Propositional check unsatisfiable : 0
% 0.14/0.40  #    Propositional clauses             : 0
% 0.14/0.40  #    Propositional clauses after purity: 0
% 0.14/0.40  #    Propositional unsat core size     : 0
% 0.14/0.40  #    Propositional preprocessing time  : 0.000
% 0.14/0.40  #    Propositional encoding time       : 0.000
% 0.14/0.40  #    Propositional solver time         : 0.000
% 0.14/0.40  #    Success case prop preproc time    : 0.000
% 0.14/0.40  #    Success case prop encoding time   : 0.000
% 0.14/0.40  #    Success case prop solver time     : 0.000
% 0.14/0.40  # Current number of processed clauses  : 3
% 0.14/0.40  #    Positive orientable unit clauses  : 1
% 0.14/0.40  #    Positive unorientable unit clauses: 0
% 0.14/0.40  #    Negative unit clauses             : 2
% 0.14/0.40  #    Non-unit-clauses                  : 0
% 0.14/0.40  # Current number of unprocessed clauses: 3
% 0.14/0.40  # ...number of literals in the above   : 9
% 0.14/0.40  # Current number of archived formulas  : 0
% 0.14/0.40  # Current number of archived clauses   : 0
% 0.14/0.40  # Clause-clause subsumption calls (NU) : 0
% 0.14/0.40  # Rec. Clause-clause subsumption calls : 0
% 0.14/0.40  # Non-unit clause-clause subsumptions  : 0
% 0.14/0.40  # Unit Clause-clause subsumption calls : 0
% 0.14/0.40  # Rewrite failures with RHS unbound    : 0
% 0.14/0.40  # BW rewrite match attempts            : 0
% 0.14/0.40  # BW rewrite match successes           : 0
% 0.14/0.40  # Condensation attempts                : 9
% 0.14/0.40  # Condensation successes               : 0
% 0.14/0.40  # Termbank termtop insertions          : 695
% 0.14/0.40  # Search garbage collected termcells   : 131
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.002 s
% 0.14/0.40  # System time              : 0.001 s
% 0.14/0.40  # Total time               : 0.003 s
% 0.14/0.40  # Maximum resident set size: 1752 pages
% 0.14/0.40  
% 0.14/0.40  # -------------------------------------------------
% 0.14/0.40  # User time                : 0.003 s
% 0.14/0.40  # System time              : 0.002 s
% 0.14/0.40  # Total time               : 0.006 s
% 0.14/0.40  # Maximum resident set size: 1712 pages
% 0.14/0.40  % E---3.1 exiting
% 0.14/0.40  % E exiting
%------------------------------------------------------------------------------