TSTP Solution File: SYO238^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO238^5 : 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 08:45:14 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   13 (   4 unt;   4 typ;   0 def)
%            Number of atoms       :   26 (  10 equ;   0 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   43 (   8   ~;   4   |;   3   &;  18   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (  10   ^   5   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_22,type,
    cB: $o ).

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

thf(decl_24,type,
    cP: $i > $o ).

thf(decl_25,type,
    f: $i > $i ).

thf(cADDHYP5,conjecture,
    ( ( $true
     => ! [X1: $i] :
          ( ( f @ X1 )
          = X1 ) )
   => ( ( ( ( ^ [X1: $i] : ( f @ ( f @ X1 ) ) )
          = ( ^ [X1: $i] : X1 ) )
       => cB )
     => ( ( cP @ x )
       => cB ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP5) ).

thf(c_0_1,negated_conjecture,
    ~ ( ( $true
       => ! [X1: $i] :
            ( ( f @ X1 )
            = X1 ) )
     => ( ( ( ( ^ [Z0: $i] : ( f @ ( f @ Z0 ) ) )
            = ( ^ [Z0: $i] : Z0 ) )
         => cB )
       => ( ( cP @ x )
         => cB ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cADDHYP5])]) ).

thf(c_0_2,negated_conjecture,
    ! [X3: $i] :
      ( ( ~ $true
        | ( ( f @ X3 )
          = X3 ) )
      & ( ( ( ^ [Z0: $i] : ( f @ ( f @ Z0 ) ) )
         != ( ^ [Z0: $i] : Z0 ) )
        | cB )
      & ( cP @ x )
      & ~ cB ),
    inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

thf(c_0_3,negated_conjecture,
    ( cB
    | ( ( ^ [Z0: $i] : ( f @ ( f @ Z0 ) ) )
     != ( ^ [Z0: $i] : Z0 ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ~ cB,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_5,negated_conjecture,
    ! [X1: $i] :
      ( ( ( f @ X1 )
        = X1 )
      | ~ $true ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_6,negated_conjecture,
    ( ( ^ [Z0: $i] : ( f @ ( f @ Z0 ) ) )
   != ( ^ [Z0: $i] : Z0 ) ),
    inference(sr,[status(thm)],[c_0_3,c_0_4]) ).

thf(c_0_7,negated_conjecture,
    ! [X1: $i] :
      ( ( f @ X1 )
      = X1 ),
    inference(cn,[status(thm)],[c_0_5]) ).

thf(c_0_8,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(neg_ext,[status(thm)],[c_0_6]),c_0_7]),c_0_7])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYO238^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n010.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 09:21:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.19/0.48  Running higher-order theorem proving
% 0.19/0.48  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
% 0.19/0.49  # Version: 3.1.0-ho
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.49  # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_9 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # sh5l with pid 21507 completed with status 0
% 0.19/0.49  # Result found by sh5l
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.49  # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_9 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: HHUSF-FFSF11-MSSFFFNN
% 0.19/0.49  # partial match(1): HHUSF-FFSF11-SSSFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting sh3 with 181s (1) cores
% 0.19/0.49  # sh3 with pid 21513 completed with status 0
% 0.19/0.49  # Result found by sh3
% 0.19/0.49  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.19/0.49  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.19/0.49  # Starting post_as_ho10 with 300s (1) cores
% 0.19/0.49  # Starting new_bool_9 with 300s (1) cores
% 0.19/0.49  # Starting sh5l with 300s (1) cores
% 0.19/0.49  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.49  # Search class: HHUSF-FFSF11-MSSFFFNN
% 0.19/0.49  # partial match(1): HHUSF-FFSF11-SSSFFFNN
% 0.19/0.49  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49  # Starting sh3 with 181s (1) cores
% 0.19/0.49  # Preprocessing time       : 0.001 s
% 0.19/0.49  # Presaturation interreduction done
% 0.19/0.49  
% 0.19/0.49  # Proof found!
% 0.19/0.49  # SZS status Theorem
% 0.19/0.49  # SZS output start CNFRefutation
% See solution above
% 0.19/0.49  # Parsed axioms                        : 5
% 0.19/0.49  # Removed by relevancy pruning/SinE    : 4
% 0.19/0.49  # Initial clauses                      : 4
% 0.19/0.49  # Removed in clause preprocessing      : 0
% 0.19/0.49  # Initial clauses in saturation        : 4
% 0.19/0.49  # Processed clauses                    : 8
% 0.19/0.49  # ...of these trivial                  : 0
% 0.19/0.49  # ...subsumed                          : 0
% 0.19/0.49  # ...remaining for further processing  : 8
% 0.19/0.49  # Other redundant clauses eliminated   : 0
% 0.19/0.49  # Clauses deleted for lack of memory   : 0
% 0.19/0.49  # Backward-subsumed                    : 0
% 0.19/0.49  # Backward-rewritten                   : 0
% 0.19/0.49  # Generated clauses                    : 1
% 0.19/0.49  # ...of the previous two non-redundant : 0
% 0.19/0.49  # ...aggressively subsumed             : 0
% 0.19/0.49  # Contextual simplify-reflections      : 0
% 0.19/0.49  # Paramodulations                      : 0
% 0.19/0.49  # Factorizations                       : 0
% 0.19/0.49  # NegExts                              : 1
% 0.19/0.49  # Equation resolutions                 : 0
% 0.19/0.49  # Disequality decompositions           : 0
% 0.19/0.49  # Total rewrite steps                  : 2
% 0.19/0.49  # ...of those cached                   : 1
% 0.19/0.49  # Propositional unsat checks           : 0
% 0.19/0.49  #    Propositional check models        : 0
% 0.19/0.49  #    Propositional check unsatisfiable : 0
% 0.19/0.49  #    Propositional clauses             : 0
% 0.19/0.49  #    Propositional clauses after purity: 0
% 0.19/0.49  #    Propositional unsat core size     : 0
% 0.19/0.49  #    Propositional preprocessing time  : 0.000
% 0.19/0.49  #    Propositional encoding time       : 0.000
% 0.19/0.49  #    Propositional solver time         : 0.000
% 0.19/0.49  #    Success case prop preproc time    : 0.000
% 0.19/0.49  #    Success case prop encoding time   : 0.000
% 0.19/0.49  #    Success case prop solver time     : 0.000
% 0.19/0.49  # Current number of processed clauses  : 4
% 0.19/0.49  #    Positive orientable unit clauses  : 2
% 0.19/0.49  #    Positive unorientable unit clauses: 0
% 0.19/0.49  #    Negative unit clauses             : 2
% 0.19/0.49  #    Non-unit-clauses                  : 0
% 0.19/0.49  # Current number of unprocessed clauses: 0
% 0.19/0.49  # ...number of literals in the above   : 0
% 0.19/0.49  # Current number of archived formulas  : 0
% 0.19/0.49  # Current number of archived clauses   : 4
% 0.19/0.49  # Clause-clause subsumption calls (NU) : 0
% 0.19/0.49  # Rec. Clause-clause subsumption calls : 0
% 0.19/0.49  # Non-unit clause-clause subsumptions  : 0
% 0.19/0.49  # Unit Clause-clause subsumption calls : 0
% 0.19/0.49  # Rewrite failures with RHS unbound    : 0
% 0.19/0.49  # BW rewrite match attempts            : 0
% 0.19/0.49  # BW rewrite match successes           : 0
% 0.19/0.49  # Condensation attempts                : 0
% 0.19/0.49  # Condensation successes               : 0
% 0.19/0.49  # Termbank termtop insertions          : 252
% 0.19/0.49  # Search garbage collected termcells   : 65
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.001 s
% 0.19/0.49  # System time              : 0.002 s
% 0.19/0.49  # Total time               : 0.003 s
% 0.19/0.49  # Maximum resident set size: 1780 pages
% 0.19/0.49  
% 0.19/0.49  # -------------------------------------------------
% 0.19/0.49  # User time                : 0.002 s
% 0.19/0.49  # System time              : 0.003 s
% 0.19/0.49  # Total time               : 0.005 s
% 0.19/0.49  # Maximum resident set size: 1700 pages
% 0.19/0.49  % E---3.1 exiting
% 0.19/0.49  % E exiting
%------------------------------------------------------------------------------