TSTP Solution File: SYO217^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO217^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 08:45:10 EDT 2024

% Result   : Theorem 0.24s 0.51s
% Output   : CNFRefutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   17 (   6 unt;   6 typ;   0 def)
%            Number of atoms       :   23 (   4 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   58 (  10   ~;   5   |;   2   &;  36   @)
%                                         (   2 <=>;   2  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   14 (   0   ^  14   !;   0   ?;  14   :)

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

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

thf(decl_22,type,
    epred1_0: b > a > $o ).

thf(decl_23,type,
    epred2_0: b > a > $o ).

thf(decl_24,type,
    esk1_0: b ).

thf(decl_25,type,
    esk2_0: a ).

thf(cTHM174,conjecture,
    ! [X1: b > a > $o,X2: b > a > $o] :
      ( ! [X3: b,X4: a] :
          ( ( X1 @ X3 @ X4 )
        <=> ( X2 @ X3 @ X4 ) )
     => ( X1 = X2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM174) ).

thf(c_0_1,negated_conjecture,
    ~ ! [X1: b > a > $o,X2: b > a > $o] :
        ( ! [X3: b,X4: a] :
            ( ( X1 @ X3 @ X4 )
          <=> ( X2 @ X3 @ X4 ) )
       => ( X1 = X2 ) ),
    inference(assume_negation,[status(cth)],[cTHM174]) ).

thf(c_0_2,negated_conjecture,
    ! [X11: b,X12: a] :
      ( ( ~ ( epred1_0 @ X11 @ X12 )
        | ( epred2_0 @ X11 @ X12 ) )
      & ( ~ ( epred2_0 @ X11 @ X12 )
        | ( epred1_0 @ X11 @ X12 ) )
      & ( epred1_0 != epred2_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_1])])])])]) ).

thf(c_0_3,negated_conjecture,
    epred1_0 != epred2_0,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( ( epred1_0 @ esk1_0 @ esk2_0 )
  <~> ( epred2_0 @ esk1_0 @ esk2_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ( ~ ( epred1_0 @ esk1_0 @ esk2_0 )
    | ~ ( epred2_0 @ esk1_0 @ esk2_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X3: b,X4: a] :
      ( ( epred1_0 @ X3 @ X4 )
      | ~ ( epred2_0 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_7,negated_conjecture,
    ~ ( epred2_0 @ esk1_0 @ esk2_0 ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_8,negated_conjecture,
    ! [X3: b,X4: a] :
      ( ( epred2_0 @ X3 @ X4 )
      | ~ ( epred1_0 @ X3 @ X4 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_9,negated_conjecture,
    epred1_0 @ esk1_0 @ esk2_0,
    inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4]),c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYO217^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15  % Command    : run_E %s %d THM
% 0.15/0.39  % Computer : n020.cluster.edu
% 0.15/0.39  % Model    : x86_64 x86_64
% 0.15/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.39  % Memory   : 8042.1875MB
% 0.15/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.39  % CPULimit   : 300
% 0.15/0.39  % WCLimit    : 300
% 0.15/0.39  % DateTime   : Mon May 20 10:16:23 EDT 2024
% 0.15/0.39  % CPUTime    : 
% 0.24/0.50  Running higher-order theorem proving
% 0.24/0.50  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
% 0.24/0.51  # Version: 3.1.0-ho
% 0.24/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.24/0.51  # Starting new_bool_9 with 300s (1) cores
% 0.24/0.51  # Starting post_as_ho1 with 300s (1) cores
% 0.24/0.51  # Starting post_as_ho4 with 300s (1) cores
% 0.24/0.51  # Starting post_as_ho2 with 300s (1) cores
% 0.24/0.51  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.24/0.51  # Starting full_lambda_10 with 300s (1) cores
% 0.24/0.51  # Starting new_ho_8 with 300s (1) cores
% 0.24/0.51  # post_as_ho12 with pid 27407 completed with status 0
% 0.24/0.51  # Result found by post_as_ho12
% 0.24/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.24/0.51  # No SInE strategy applied
% 0.24/0.51  # Search class: HHUSF-FFSF00-SSSFFFNN
% 0.24/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.24/0.51  # new_ho_10 with pid 27416 completed with status 0
% 0.24/0.51  # Result found by new_ho_10
% 0.24/0.51  # Preprocessing class: HSSSSMSSSSSNSSA.
% 0.24/0.51  # Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.51  # Starting post_as_ho12 with 300s (1) cores
% 0.24/0.51  # No SInE strategy applied
% 0.24/0.51  # Search class: HHUSF-FFSF00-SSSFFFNN
% 0.24/0.51  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.51  # Starting new_ho_10 with 163s (1) cores
% 0.24/0.51  # Preprocessing time       : 0.001 s
% 0.24/0.51  # Presaturation interreduction done
% 0.24/0.51  
% 0.24/0.51  # Proof found!
% 0.24/0.51  # SZS status Theorem
% 0.24/0.51  # SZS output start CNFRefutation
% See solution above
% 0.24/0.51  # Parsed axioms                        : 3
% 0.24/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.24/0.51  # Initial clauses                      : 5
% 0.24/0.51  # Removed in clause preprocessing      : 2
% 0.24/0.51  # Initial clauses in saturation        : 3
% 0.24/0.51  # Processed clauses                    : 14
% 0.24/0.51  # ...of these trivial                  : 0
% 0.24/0.51  # ...subsumed                          : 0
% 0.24/0.51  # ...remaining for further processing  : 14
% 0.24/0.51  # Other redundant clauses eliminated   : 0
% 0.24/0.51  # Clauses deleted for lack of memory   : 0
% 0.24/0.51  # Backward-subsumed                    : 1
% 0.24/0.51  # Backward-rewritten                   : 0
% 0.24/0.51  # Generated clauses                    : 11
% 0.24/0.51  # ...of the previous two non-redundant : 9
% 0.24/0.51  # ...aggressively subsumed             : 0
% 0.24/0.51  # Contextual simplify-reflections      : 1
% 0.24/0.51  # Paramodulations                      : 4
% 0.24/0.51  # Factorizations                       : 0
% 0.24/0.51  # NegExts                              : 3
% 0.24/0.51  # Equation resolutions                 : 0
% 0.24/0.51  # Disequality decompositions           : 0
% 0.24/0.51  # Total rewrite steps                  : 0
% 0.24/0.51  # ...of those cached                   : 0
% 0.24/0.51  # Propositional unsat checks           : 0
% 0.24/0.51  #    Propositional check models        : 0
% 0.24/0.51  #    Propositional check unsatisfiable : 0
% 0.24/0.51  #    Propositional clauses             : 0
% 0.24/0.51  #    Propositional clauses after purity: 0
% 0.24/0.51  #    Propositional unsat core size     : 0
% 0.24/0.51  #    Propositional preprocessing time  : 0.000
% 0.24/0.51  #    Propositional encoding time       : 0.000
% 0.24/0.51  #    Propositional solver time         : 0.000
% 0.24/0.51  #    Success case prop preproc time    : 0.000
% 0.24/0.51  #    Success case prop encoding time   : 0.000
% 0.24/0.51  #    Success case prop solver time     : 0.000
% 0.24/0.51  # Current number of processed clauses  : 8
% 0.24/0.51  #    Positive orientable unit clauses  : 1
% 0.24/0.51  #    Positive unorientable unit clauses: 0
% 0.24/0.51  #    Negative unit clauses             : 5
% 0.24/0.51  #    Non-unit-clauses                  : 2
% 0.24/0.51  # Current number of unprocessed clauses: 1
% 0.24/0.51  # ...number of literals in the above   : 2
% 0.24/0.51  # Current number of archived formulas  : 0
% 0.24/0.51  # Current number of archived clauses   : 6
% 0.24/0.51  # Clause-clause subsumption calls (NU) : 3
% 0.24/0.51  # Rec. Clause-clause subsumption calls : 1
% 0.24/0.51  # Non-unit clause-clause subsumptions  : 1
% 0.24/0.51  # Unit Clause-clause subsumption calls : 6
% 0.24/0.51  # Rewrite failures with RHS unbound    : 0
% 0.24/0.51  # BW rewrite match attempts            : 0
% 0.24/0.51  # BW rewrite match successes           : 0
% 0.24/0.51  # Condensation attempts                : 14
% 0.24/0.51  # Condensation successes               : 0
% 0.24/0.51  # Termbank termtop insertions          : 494
% 0.24/0.51  # Search garbage collected termcells   : 100
% 0.24/0.51  
% 0.24/0.51  # -------------------------------------------------
% 0.24/0.51  # User time                : 0.003 s
% 0.24/0.51  # System time              : 0.001 s
% 0.24/0.51  # Total time               : 0.004 s
% 0.24/0.51  # Maximum resident set size: 1760 pages
% 0.24/0.51  
% 0.24/0.51  # -------------------------------------------------
% 0.24/0.51  # User time                : 0.005 s
% 0.24/0.51  # System time              : 0.003 s
% 0.24/0.51  # Total time               : 0.007 s
% 0.24/0.51  # Maximum resident set size: 1716 pages
% 0.24/0.51  % E---3.1 exiting
% 0.24/0.51  % E exiting
%------------------------------------------------------------------------------