TSTP Solution File: SYO265^5 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO265^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 08:45:18 EDT 2024

% Result   : Theorem 0.18s 0.47s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   15 (   8 unt;   4 typ;   0 def)
%            Number of atoms       :   27 (  23 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   16 (   4   ~;   2   |;   5   &;   4   @)
%                                         (   0 <=>;   0  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   5 con; 0-2 aty)
%            Number of variables   :   11 (   6   ^   0   !;   5   ?;  11   :)

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

thf(decl_22,type,
    x: a ).

thf(decl_23,type,
    esk1_0: a ).

thf(decl_24,type,
    esk2_0: a ).

thf(cX5210,conjecture,
    ( ( ^ [X1: a,X2: a] : ( X1 = X2 )
      @ x )
    = ( ^ [X3: a] :
        ? [X2: a] :
          ( ( X2 = x )
          & ( X3 = X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5210) ).

thf(c_0_1,negated_conjecture,
    ( ( $eq @ x )
   != ( ^ [Z0: a] :
        ? [X2: a] :
          ( ( X2 = x )
          & ( Z0 = X2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[cX5210])])])]) ).

thf(c_0_2,negated_conjecture,
    ( ( $eq @ x )
   != ( ^ [Z0: a] :
        ? [X2: a] :
          ( ( X2 = x )
          & ( Z0 = X2 ) ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_1]) ).

thf(c_0_3,negated_conjecture,
    ( ( $eq @ x )
   != ( ^ [Z0: a] :
        ? [X7: a] :
          ( ( X7 = x )
          & ( Z0 = X7 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ( ? [X8: a] :
        ( ( X8 = x )
        & ( esk1_0 = X8 ) )
  <~> ( x = esk1_0 ) ),
    inference(neg_ext,[status(thm)],[c_0_3]) ).

thf(c_0_5,negated_conjecture,
    ( ( x = esk1_0 )
    | ( x = esk2_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_4]) ).

thf(c_0_6,negated_conjecture,
    x != esk1_0,
    inference(er,[status(thm)],[inference(local_rw,[status(thm)],[inference(cn,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_4])])])]) ).

thf(c_0_7,negated_conjecture,
    ( ( x = esk1_0 )
    | ( esk1_0 = esk2_0 ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_4]) ).

thf(c_0_8,negated_conjecture,
    x = esk2_0,
    inference(sr,[status(thm)],[c_0_5,c_0_6]) ).

thf(c_0_9,negated_conjecture,
    esk1_0 = esk2_0,
    inference(sr,[status(thm)],[c_0_7,c_0_6]) ).

thf(c_0_10,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_8]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SYO265^5 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon May 20 10:35:08 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  Running higher-order theorem proving
% 0.18/0.46  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
% 0.18/0.47  # Version: 3.1.0-ho
% 0.18/0.47  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.18/0.47  # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_9 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # sh5l with pid 17683 completed with status 0
% 0.18/0.47  # Result found by sh5l
% 0.18/0.47  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.18/0.47  # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_9 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47  # Search class: HUUPF-FFSF00-MSSFFFNN
% 0.18/0.47  # partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting new_ho_10 with 181s (1) cores
% 0.18/0.47  # new_ho_10 with pid 17684 completed with status 0
% 0.18/0.47  # Result found by new_ho_10
% 0.18/0.47  # Preprocessing class: HSSSSMSSSSSNSSN.
% 0.18/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.47  # Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.18/0.47  # Starting post_as_ho10 with 300s (1) cores
% 0.18/0.47  # Starting new_bool_9 with 300s (1) cores
% 0.18/0.47  # Starting sh5l with 300s (1) cores
% 0.18/0.47  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.18/0.47  # Search class: HUUPF-FFSF00-MSSFFFNN
% 0.18/0.47  # partial match(1): HUUPF-FFSF00-SSSFFFNN
% 0.18/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.47  # Starting new_ho_10 with 181s (1) cores
% 0.18/0.47  # Preprocessing time       : 0.001 s
% 0.18/0.47  # Presaturation interreduction done
% 0.18/0.47  
% 0.18/0.47  # Proof found!
% 0.18/0.47  # SZS status Theorem
% 0.18/0.47  # SZS output start CNFRefutation
% See solution above
% 0.18/0.47  # Parsed axioms                        : 3
% 0.18/0.47  # Removed by relevancy pruning/SinE    : 2
% 0.18/0.47  # Initial clauses                      : 1
% 0.18/0.47  # Removed in clause preprocessing      : 0
% 0.18/0.47  # Initial clauses in saturation        : 1
% 0.18/0.47  # Processed clauses                    : 9
% 0.18/0.47  # ...of these trivial                  : 0
% 0.18/0.47  # ...subsumed                          : 0
% 0.18/0.47  # ...remaining for further processing  : 8
% 0.18/0.47  # Other redundant clauses eliminated   : 1
% 0.18/0.47  # Clauses deleted for lack of memory   : 0
% 0.18/0.47  # Backward-subsumed                    : 0
% 0.18/0.47  # Backward-rewritten                   : 2
% 0.18/0.47  # Generated clauses                    : 8
% 0.18/0.47  # ...of the previous two non-redundant : 9
% 0.18/0.47  # ...aggressively subsumed             : 0
% 0.18/0.47  # Contextual simplify-reflections      : 0
% 0.18/0.47  # Paramodulations                      : 0
% 0.18/0.47  # Factorizations                       : 1
% 0.18/0.47  # NegExts                              : 1
% 0.18/0.47  # Equation resolutions                 : 1
% 0.18/0.47  # Disequality decompositions           : 0
% 0.18/0.47  # Total rewrite steps                  : 3
% 0.18/0.47  # ...of those cached                   : 1
% 0.18/0.47  # Propositional unsat checks           : 0
% 0.18/0.47  #    Propositional check models        : 0
% 0.18/0.47  #    Propositional check unsatisfiable : 0
% 0.18/0.47  #    Propositional clauses             : 0
% 0.18/0.47  #    Propositional clauses after purity: 0
% 0.18/0.47  #    Propositional unsat core size     : 0
% 0.18/0.47  #    Propositional preprocessing time  : 0.000
% 0.18/0.47  #    Propositional encoding time       : 0.000
% 0.18/0.47  #    Propositional solver time         : 0.000
% 0.18/0.47  #    Success case prop preproc time    : 0.000
% 0.18/0.47  #    Success case prop encoding time   : 0.000
% 0.18/0.47  #    Success case prop solver time     : 0.000
% 0.18/0.47  # Current number of processed clauses  : 2
% 0.18/0.47  #    Positive orientable unit clauses  : 2
% 0.18/0.47  #    Positive unorientable unit clauses: 0
% 0.18/0.47  #    Negative unit clauses             : 0
% 0.18/0.47  #    Non-unit-clauses                  : 0
% 0.18/0.47  # Current number of unprocessed clauses: 2
% 0.18/0.47  # ...number of literals in the above   : 3
% 0.18/0.47  # Current number of archived formulas  : 0
% 0.18/0.47  # Current number of archived clauses   : 6
% 0.18/0.47  # Clause-clause subsumption calls (NU) : 0
% 0.18/0.47  # Rec. Clause-clause subsumption calls : 0
% 0.18/0.47  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.47  # Unit Clause-clause subsumption calls : 1
% 0.18/0.47  # Rewrite failures with RHS unbound    : 0
% 0.18/0.47  # BW rewrite match attempts            : 1
% 0.18/0.47  # BW rewrite match successes           : 1
% 0.18/0.47  # Condensation attempts                : 10
% 0.18/0.47  # Condensation successes               : 0
% 0.18/0.47  # Termbank termtop insertions          : 290
% 0.18/0.47  # Search garbage collected termcells   : 23
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.004 s
% 0.18/0.47  # System time              : 0.000 s
% 0.18/0.47  # Total time               : 0.004 s
% 0.18/0.47  # Maximum resident set size: 1624 pages
% 0.18/0.47  
% 0.18/0.47  # -------------------------------------------------
% 0.18/0.47  # User time                : 0.004 s
% 0.18/0.47  # System time              : 0.003 s
% 0.18/0.47  # Total time               : 0.007 s
% 0.18/0.47  # Maximum resident set size: 1712 pages
% 0.18/0.47  % E---3.1 exiting
% 0.18/0.47  % E exiting
%------------------------------------------------------------------------------