TSTP Solution File: SEU608^2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SEU608^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 03:28:32 EDT 2024

% Result   : Theorem 0.16s 0.43s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   14 (   3 unt;   6 typ;   0 def)
%            Number of atoms       :   19 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   68 (   9   ~;   2   |;   2   &;  48   @)
%                                         (   1 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   18 (   0   ^  18   !;   0   ?;  18   :)

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

thf(decl_23,type,
    setminus: $i > $i > $i ).

thf(decl_24,type,
    setminusER: $o ).

thf(decl_25,type,
    esk1_0: $i ).

thf(decl_26,type,
    esk2_0: $i ).

thf(decl_27,type,
    esk3_0: $i ).

thf(setminusIRneg,conjecture,
    ( setminusER
   => ! [X1: $i,X2: $i,X3: $i] :
        ( ( in @ X3 @ X2 )
       => ~ ( in @ X3 @ ( setminus @ X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusIRneg) ).

thf(setminusER,axiom,
    ( setminusER
  <=> ! [X1: $i,X2: $i,X3: $i] :
        ( ( in @ X3 @ ( setminus @ X1 @ X2 ) )
       => ~ ( in @ X3 @ X2 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setminusER) ).

thf(c_0_2,negated_conjecture,
    ~ ( ! [X10: $i,X11: $i,X12: $i] :
          ( ( in @ X12 @ ( setminus @ X10 @ X11 ) )
         => ~ ( in @ X12 @ X11 ) )
     => ! [X1: $i,X2: $i,X3: $i] :
          ( ( in @ X3 @ X2 )
         => ~ ( in @ X3 @ ( setminus @ X1 @ X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[setminusIRneg]),setminusER])]) ).

thf(c_0_3,negated_conjecture,
    ! [X13: $i,X14: $i,X15: $i] :
      ( ( ~ ( in @ X15 @ ( setminus @ X13 @ X14 ) )
        | ~ ( in @ X15 @ X14 ) )
      & ( in @ esk3_0 @ esk2_0 )
      & ( in @ esk3_0 @ ( setminus @ esk1_0 @ esk2_0 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

thf(c_0_4,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( in @ X1 @ ( setminus @ X2 @ X3 ) )
      | ~ ( in @ X1 @ X3 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    in @ esk3_0 @ ( setminus @ esk1_0 @ esk2_0 ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_6,negated_conjecture,
    in @ esk3_0 @ esk2_0,
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_6])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SEU608^2 : TPTP v8.2.0. Released v3.7.0.
% 0.00/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Sun May 19 17:42:08 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.16/0.42  Running higher-order theorem proving
% 0.16/0.42  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
% 0.16/0.43  # Version: 3.1.0-ho
% 0.16/0.43  # Preprocessing class: HSSSSMSSSLSNFFN.
% 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 sh5l with 300s (1) cores
% 0.16/0.43  # Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.16/0.43  # Starting lpo1_def_fix with 300s (1) cores
% 0.16/0.43  # sh5l with pid 3549 completed with status 0
% 0.16/0.43  # Result found by sh5l
% 0.16/0.43  # Preprocessing class: HSSSSMSSSLSNFFN.
% 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 sh5l with 300s (1) cores
% 0.16/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43  # Search class: HUHNF-FFSF22-SFFFMFNN
% 0.16/0.43  # partial match(1): HUUNF-FFSF22-SFFFMFNN
% 0.16/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting new_ho_10 with 181s (1) cores
% 0.16/0.43  # new_ho_10 with pid 3552 completed with status 0
% 0.16/0.43  # Result found by new_ho_10
% 0.16/0.43  # Preprocessing class: HSSSSMSSSLSNFFN.
% 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 sh5l with 300s (1) cores
% 0.16/0.43  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.43  # Search class: HUHNF-FFSF22-SFFFMFNN
% 0.16/0.43  # partial match(1): HUUNF-FFSF22-SFFFMFNN
% 0.16/0.43  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.43  # Starting new_ho_10 with 181s (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                        : 5
% 0.16/0.43  # Removed by relevancy pruning/SinE    : 3
% 0.16/0.43  # Initial clauses                      : 3
% 0.16/0.43  # Removed in clause preprocessing      : 0
% 0.16/0.43  # Initial clauses in saturation        : 3
% 0.16/0.43  # Processed clauses                    : 6
% 0.16/0.43  # ...of these trivial                  : 0
% 0.16/0.43  # ...subsumed                          : 0
% 0.16/0.43  # ...remaining for further processing  : 6
% 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                    : 1
% 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                      : 1
% 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                  : 1
% 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  : 3
% 0.16/0.43  #    Positive orientable unit clauses  : 2
% 0.16/0.43  #    Positive unorientable unit clauses: 0
% 0.16/0.43  #    Negative unit clauses             : 0
% 0.16/0.43  #    Non-unit-clauses                  : 1
% 0.16/0.43  # Current number of unprocessed clauses: 0
% 0.16/0.43  # ...number of literals in the above   : 0
% 0.16/0.43  # Current number of archived formulas  : 0
% 0.16/0.43  # Current number of archived clauses   : 3
% 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                : 6
% 0.16/0.43  # Condensation successes               : 0
% 0.16/0.43  # Termbank termtop insertions          : 307
% 0.16/0.43  # Search garbage collected termcells   : 118
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.002 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: 1784 pages
% 0.16/0.43  
% 0.16/0.43  # -------------------------------------------------
% 0.16/0.43  # User time                : 0.002 s
% 0.16/0.43  # System time              : 0.004 s
% 0.16/0.43  # Total time               : 0.006 s
% 0.16/0.43  # Maximum resident set size: 1692 pages
% 0.16/0.43  % E---3.1 exiting
% 0.16/0.43  % E exiting
%------------------------------------------------------------------------------