TSTP Solution File: SET062^6 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SET062^6 : TPTP v8.1.2. Released v5.1.0.
% 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 : Sat May  4 09:17:41 EDT 2024

% Result   : Theorem 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   2 unt;   2 typ;   0 def)
%            Number of atoms       :    8 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   0   |;   1   &;   3   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    1 (   1   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    4 (   2 usr;   3 con; 0-1 aty)
%            Number of variables   :    2 (   0   ^   2   !;   0   ?;   2   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cA: $i > $o ).

thf(decl_23,type,
    esk1_0: $i ).

thf(cSET76_pme,conjecture,
    ! [X1: $i] :
      ( ~ $true
     => ( cA @ X1 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.yxlzxy2i6S/E---3.1_32534.p',cSET76_pme) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: $i] :
        ( ~ $true
       => ( cA @ X1 ) ),
    inference(assume_negation,[status(cth)],[cSET76_pme]) ).

thf(c_0_2,negated_conjecture,
    ( ~ $true
    & ~ ( cA @ esk1_0 ) ),
    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,
    ~ $true,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[c_0_3]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11  % Problem    : SET062^6 : TPTP v8.1.2. Released v5.1.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n023.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Fri May  3 10:39:38 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running higher-order theorem proving
% 0.16/0.43  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/tmp/tmp.yxlzxy2i6S/E---3.1_32534.p
% 0.16/0.43  # Version: 3.1.0-ho
% 0.16/0.43  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.43  # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.43  # Starting sh4l with 300s (1) cores
% 0.16/0.43  # Starting ehoh_best_nonlift_rwall with 300s (1) cores
% 0.16/0.43  # ho_unfolding_6 with pid 32613 completed with status 0
% 0.16/0.43  # Result found by ho_unfolding_6
% 0.16/0.43  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.43  # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: HUHNF-FFSF00-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting new_ho_10 with 163s (1) cores
% 0.16/0.43  # new_ho_10 with pid 32616 completed with status 0
% 0.16/0.43  # Result found by new_ho_10
% 0.16/0.43  # Preprocessing class: HSSSSMSSSSSNFFN.
% 0.16/0.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43  # Starting new_ho_10 with 1500s (5) cores
% 0.16/0.43  # Starting ho_unfolding_6 with 300s (1) cores
% 0.16/0.43  # No SInE strategy applied
% 0.16/0.43  # Search class: HUHNF-FFSF00-SFFFFFNN
% 0.16/0.43  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting new_ho_10 with 163s (1) cores
% 0.16/0.43  # Preprocessing time       : 0.001 s
% 0.16/0.43  # Presaturation interreduction done
% 0.16/0.43  
% 0.16/0.43  # Proof found!
% 0.16/0.43  # SZS status Theorem
% 0.16/0.43  # SZS output start CNFRefutation
% See solution above
% 0.16/0.43  # Parsed axioms                        : 2
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.43  # Initial clauses                      : 3
% 0.16/0.43  # Removed in clause preprocessing      : 1
% 0.16/0.43  # Initial clauses in saturation        : 2
% 0.16/0.43  # Processed clauses                    : 1
% 0.16/0.43  # ...of these trivial                  : 0
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 0
% 0.16/0.43  # Other redundant clauses eliminated   : 0
% 0.16/0.43  # Clauses deleted for lack of memory   : 0
% 0.16/0.43  # Backward-subsumed                    : 0
% 0.16/0.43  # Backward-rewritten                   : 0
% 0.16/0.43  # Generated clauses                    : 0
% 0.16/0.43  # ...of the previous two non-redundant : 0
% 0.16/0.43  # ...aggressively subsumed             : 0
% 0.16/0.43  # Contextual simplify-reflections      : 0
% 0.16/0.43  # Paramodulations                      : 0
% 0.16/0.43  # Factorizations                       : 0
% 0.16/0.43  # NegExts                              : 0
% 0.16/0.43  # Equation resolutions                 : 0
% 0.16/0.43  # Disequality decompositions           : 0
% 0.16/0.43  # Total rewrite steps                  : 0
% 0.16/0.43  # ...of those cached                   : 0
% 0.16/0.43  # Propositional unsat checks           : 0
% 0.16/0.43  #    Propositional check models        : 0
% 0.16/0.43  #    Propositional check unsatisfiable : 0
% 0.16/0.43  #    Propositional clauses             : 0
% 0.16/0.43  #    Propositional clauses after purity: 0
% 0.16/0.43  #    Propositional unsat core size     : 0
% 0.16/0.43  #    Propositional preprocessing time  : 0.000
% 0.16/0.43  #    Propositional encoding time       : 0.000
% 0.16/0.43  #    Propositional solver time         : 0.000
% 0.16/0.43  #    Success case prop preproc time    : 0.000
% 0.16/0.43  #    Success case prop encoding time   : 0.000
% 0.16/0.43  #    Success case prop solver time     : 0.000
% 0.16/0.43  # Current number of processed clauses  : 0
% 0.16/0.43  #    Positive orientable unit clauses  : 0
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 0
% 0.16/0.43  #    Non-unit-clauses                  : 0
% 0.16/0.43  # Current number of unprocessed clauses: 1
% 0.16/0.43  # ...number of literals in the above   : 1
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 0
% 0.16/0.43  # Clause-clause subsumption calls (NU) : 0
% 0.16/0.43  # Rec. Clause-clause subsumption calls : 0
% 0.16/0.43  # Non-unit clause-clause subsumptions  : 0
% 0.16/0.43  # Unit Clause-clause subsumption calls : 0
% 0.16/0.43  # Rewrite failures with RHS unbound    : 0
% 0.16/0.43  # BW rewrite match attempts            : 0
% 0.16/0.43  # BW rewrite match successes           : 0
% 0.16/0.43  # Condensation attempts                : 1
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 87
% 0.16/0.43  # Search garbage collected termcells   : 27
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.000 s
% 0.16/0.43  # System time              : 0.002 s
% 0.16/0.43  # Total time               : 0.003 s
% 0.16/0.43  # Maximum resident set size: 1620 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.001 s
% 0.16/0.43  # System time              : 0.003 s
% 0.16/0.43  # Total time               : 0.005 s
% 0.16/0.43  # Maximum resident set size: 1692 pages
% 0.16/0.43  % E---3.1 exiting
% 0.16/0.44  % E exiting
%------------------------------------------------------------------------------