TSTP Solution File: SYO373^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO373^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 08:45:47 EDT 2024

% Result   : Theorem 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   4 unt;   5 typ;   0 def)
%            Number of atoms       :   32 (   1 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   48 (  10   ~;   4   |;   3   &;  24   @)
%                                         (   2 <=>;   4  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   0   ^   7   !;   0   ?;   7   :)

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

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

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

thf(decl_24,type,
    epred1_0: ( b > $o ) > $o ).

thf(decl_25,type,
    esk1_0: b ).

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

thf(c_0_1,negated_conjecture,
    ~ ( ! [X1: b] :
          ( ( f @ X1 )
        <=> ( g @ X1 ) )
     => ! [X2: ( b > $o ) > $o] :
          ( ( X2 @ f )
         => ( X2 @ g ) ) ),
    inference(assume_negation,[status(cth)],[cEXT_SET]) ).

thf(c_0_2,negated_conjecture,
    ! [X5: b] :
      ( ( ~ ( f @ X5 )
        | ( g @ X5 ) )
      & ( ~ ( g @ X5 )
        | ( f @ X5 ) )
      & ( epred1_0 @ f )
      & ~ ( epred1_0 @ g ) ),
    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 @ g ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    epred1_0 @ f,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,plain,
    f != g,
    inference(ext_sup,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_6,plain,
    ( ( f @ esk1_0 )
  <~> ( g @ esk1_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_5]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: b] :
      ( ( g @ X1 )
      | ~ ( f @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_8,plain,
    ~ ( f @ esk1_0 ),
    inference(csr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6]),c_0_7]) ).

thf(c_0_9,negated_conjecture,
    ! [X1: b] :
      ( ( f @ X1 )
      | ~ ( g @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_10,negated_conjecture,
    ~ ( g @ esk1_0 ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

thf(c_0_11,plain,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_6]),c_0_8]),c_0_10]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYO373^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.33  % Computer : n018.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon May 20 10:39:53 EDT 2024
% 0.13/0.33  % CPUTime    : 
% 0.19/0.46  Running higher-order theorem proving
% 0.19/0.46  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
% 0.19/0.47  # Version: 3.1.0-ho
% 0.19/0.47  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.47  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting sh2lt with 1200s (4) cores
% 0.19/0.47  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.47  # Starting full_lambda_6 with 300s (1) cores
% 0.19/0.47  # Starting post_as_ho1 with 300s (1) cores
% 0.19/0.47  # Starting ehoh_best3_rw with 300s (1) cores
% 0.19/0.47  # new_ho_10_unif with pid 13820 completed with status 0
% 0.19/0.47  # Result found by new_ho_10_unif
% 0.19/0.47  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.47  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting sh2lt with 1200s (4) cores
% 0.19/0.47  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.47  # No SInE strategy applied
% 0.19/0.47  # Search class: HHUNF-FFSF00-SHHFFFNN
% 0.19/0.47  # partial match(2): HHUNF-FFSF00-SSSFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting sh3 with 163s (1) cores
% 0.19/0.47  # sh3 with pid 13829 completed with status 0
% 0.19/0.47  # Result found by sh3
% 0.19/0.47  # Preprocessing class: HSSSSMSSSSSNHHA.
% 0.19/0.47  # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting sh2lt with 1200s (4) cores
% 0.19/0.47  # Starting new_ho_10_unif with 300s (1) cores
% 0.19/0.47  # No SInE strategy applied
% 0.19/0.47  # Search class: HHUNF-FFSF00-SHHFFFNN
% 0.19/0.47  # partial match(2): HHUNF-FFSF00-SSSFFFNN
% 0.19/0.47  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting sh3 with 163s (1) cores
% 0.19/0.47  # Preprocessing time       : 0.001 s
% 0.19/0.47  # Presaturation interreduction done
% 0.19/0.47  
% 0.19/0.47  # Proof found!
% 0.19/0.47  # SZS status Theorem
% 0.19/0.47  # SZS output start CNFRefutation
% See solution above
% 0.19/0.47  # Parsed axioms                        : 4
% 0.19/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.47  # Initial clauses                      : 7
% 0.19/0.47  # Removed in clause preprocessing      : 3
% 0.19/0.47  # Initial clauses in saturation        : 4
% 0.19/0.47  # Processed clauses                    : 13
% 0.19/0.47  # ...of these trivial                  : 0
% 0.19/0.47  # ...subsumed                          : 0
% 0.19/0.47  # ...remaining for further processing  : 12
% 0.19/0.47  # Other redundant clauses eliminated   : 0
% 0.19/0.47  # Clauses deleted for lack of memory   : 0
% 0.19/0.47  # Backward-subsumed                    : 0
% 0.19/0.47  # Backward-rewritten                   : 0
% 0.19/0.47  # Generated clauses                    : 6
% 0.19/0.47  # ...of the previous two non-redundant : 5
% 0.19/0.47  # ...aggressively subsumed             : 0
% 0.19/0.47  # Contextual simplify-reflections      : 1
% 0.19/0.47  # Paramodulations                      : 2
% 0.19/0.47  # Factorizations                       : 0
% 0.19/0.47  # NegExts                              : 1
% 0.19/0.47  # Equation resolutions                 : 0
% 0.19/0.47  # Disequality decompositions           : 0
% 0.19/0.47  # Total rewrite steps                  : 0
% 0.19/0.47  # ...of those cached                   : 0
% 0.19/0.47  # Propositional unsat checks           : 0
% 0.19/0.47  #    Propositional check models        : 0
% 0.19/0.47  #    Propositional check unsatisfiable : 0
% 0.19/0.47  #    Propositional clauses             : 0
% 0.19/0.47  #    Propositional clauses after purity: 0
% 0.19/0.47  #    Propositional unsat core size     : 0
% 0.19/0.47  #    Propositional preprocessing time  : 0.000
% 0.19/0.47  #    Propositional encoding time       : 0.000
% 0.19/0.47  #    Propositional solver time         : 0.000
% 0.19/0.47  #    Success case prop preproc time    : 0.000
% 0.19/0.47  #    Success case prop encoding time   : 0.000
% 0.19/0.47  #    Success case prop solver time     : 0.000
% 0.19/0.47  # Current number of processed clauses  : 7
% 0.19/0.47  #    Positive orientable unit clauses  : 1
% 0.19/0.47  #    Positive unorientable unit clauses: 0
% 0.19/0.47  #    Negative unit clauses             : 4
% 0.19/0.47  #    Non-unit-clauses                  : 2
% 0.19/0.47  # Current number of unprocessed clauses: 0
% 0.19/0.47  # ...number of literals in the above   : 0
% 0.19/0.47  # Current number of archived formulas  : 0
% 0.19/0.47  # Current number of archived clauses   : 5
% 0.19/0.47  # Clause-clause subsumption calls (NU) : 1
% 0.19/0.47  # Rec. Clause-clause subsumption calls : 1
% 0.19/0.47  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.47  # Unit Clause-clause subsumption calls : 3
% 0.19/0.47  # Rewrite failures with RHS unbound    : 0
% 0.19/0.47  # BW rewrite match attempts            : 0
% 0.19/0.47  # BW rewrite match successes           : 0
% 0.19/0.47  # Condensation attempts                : 0
% 0.19/0.47  # Condensation successes               : 0
% 0.19/0.47  # Termbank termtop insertions          : 402
% 0.19/0.47  # Search garbage collected termcells   : 89
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.002 s
% 0.19/0.47  # System time              : 0.001 s
% 0.19/0.47  # Total time               : 0.003 s
% 0.19/0.47  # Maximum resident set size: 1776 pages
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.003 s
% 0.19/0.47  # System time              : 0.003 s
% 0.19/0.47  # Total time               : 0.006 s
% 0.19/0.47  # Maximum resident set size: 1712 pages
% 0.19/0.47  % E---3.1 exiting
% 0.19/0.47  % E exiting
%------------------------------------------------------------------------------