TSTP Solution File: SYO030^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYO030^1 : TPTP v8.2.0. Released v3.7.0.
% 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 08:44:17 EDT 2024

% Result   : Theorem 0.17s 0.46s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   4 unt;   2 typ;   0 def)
%            Number of atoms       :   18 (   2 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   46 (   8   ~;   4   |;   0   &;  30   @)
%                                         (   1 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   2 usr;   2 con; 0-2 aty)
%            Number of variables   :   18 (   4   ^  12   !;   2   ?;  18   :)

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

thf(decl_23,type,
    epred1_1: ( $o > $o ) > $o ).

thf(leibeq,axiom,
    ( leibeq
    = ( ^ [X1: $o,X2: $o] :
        ! [X3: $o > $o] :
          ( ( X3 @ X1 )
         => ( X3 @ X2 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leibeq) ).

thf(conj,conjecture,
    ~ ! [X4: $o > $o] :
      ? [X1: $o] : ( leibeq @ ( X4 @ X1 ) @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).

thf(c_0_2,plain,
    ( leibeq
    = ( ^ [Z0: $o,Z1: $o] :
        ! [X3: $o > $o] :
          ( ( X3 @ Z0 )
         => ( X3 @ Z1 ) ) ) ),
    inference(fof_simplification,[status(thm)],[leibeq]) ).

thf(c_0_3,negated_conjecture,
    ~ ~ ! [X4: $o > $o] :
        ? [X1: $o] :
        ! [X7: $o > $o] :
          ( ( X7 @ ( X4 @ X1 ) )
         => ( X7 @ X1 ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conj]),c_0_2]) ).

thf(c_0_4,negated_conjecture,
    ! [X8: $o > $o,X10: $o > $o] :
      ( ~ ( X10 @ ( X8 @ ( epred1_1 @ X8 ) ) )
      | ( X10 @ ( epred1_1 @ X8 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

thf(c_0_5,negated_conjecture,
    ! [X3: $o > $o,X4: $o > $o] :
      ( ( X3 @ ( epred1_1 @ X4 ) )
      | ~ ( X3 @ ( X4 @ ( epred1_1 @ X4 ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_6,negated_conjecture,
    ! [X4: $o > $o] :
      ( ( X4 @ ( epred1_1 @ X4 ) )
    <=> ( epred1_1 @ X4 ) ),
    inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).

thf(c_0_7,negated_conjecture,
    ! [X3: $o > $o] :
      ( ( X3 @ ( epred1_1 @ X3 ) )
      | ~ ( epred1_1 @ X3 ) ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[]),c_0_5]) ).

thf(c_0_8,negated_conjecture,
    ! [X3: $o > $o] :
      ( ( epred1_1 @ X3 )
      | ~ ( X3 @ ( epred1_1 @ X3 ) ) ),
    inference(dynamic_cnf,[status(thm)],[c_0_6]) ).

thf(c_0_9,negated_conjecture,
    ~ ( epred1_1 @ $not ),
    inference(primitive_enumeration,[status(thm)],[inference(cn,[status(thm)],[inference(cn,[status(thm)],[])]),c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SYO030^1 : TPTP v8.2.0. Released v3.7.0.
% 0.11/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon May 20 11:03:53 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.17/0.45  Running higher-order theorem proving
% 0.17/0.45  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
% 0.17/0.46  # Version: 3.1.0-ho
% 0.17/0.46  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.17/0.46  # Starting post_as_ho12 with 300s (1) cores
% 0.17/0.46  # Starting post_as_ho4 with 300s (1) cores
% 0.17/0.46  # Starting ehoh_best6_lambda with 300s (1) cores
% 0.17/0.46  # ehoh_best3_fo with pid 11470 completed with status 0
% 0.17/0.46  # Result found by ehoh_best3_fo
% 0.17/0.46  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: HHUNF-FFSF00-SSSFMMBN
% 0.17/0.46  # partial match(1): HHUNF-FFSF00-SSSFFMBN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting ehoh_best_nonlift with 811s (1) cores
% 0.17/0.46  # Starting ehoh_best3_fo with 151s (1) cores
% 0.17/0.46  # Starting sh2l with 136s (1) cores
% 0.17/0.46  # Starting lpo1_def_fix with 136s (1) cores
% 0.17/0.46  # Starting ehoh_best3_rw with 136s (1) cores
% 0.17/0.46  # ehoh_best_nonlift with pid 11475 completed with status 9
% 0.17/0.46  # sh2l with pid 11478 completed with status 9
% 0.17/0.46  # lpo1_def_fix with pid 11479 completed with status 9
% 0.17/0.46  # Starting sh2lt with 130s (1) cores
% 0.17/0.46  # ehoh_best3_fo with pid 11477 completed with status 0
% 0.17/0.46  # Result found by ehoh_best3_fo
% 0.17/0.46  # Preprocessing class: HSSSSMSSSLSNSSN.
% 0.17/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46  # Starting ehoh_best3_fo with 1500s (5) cores
% 0.17/0.46  # No SInE strategy applied
% 0.17/0.46  # Search class: HHUNF-FFSF00-SSSFMMBN
% 0.17/0.46  # partial match(1): HHUNF-FFSF00-SSSFFMBN
% 0.17/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.46  # Starting ehoh_best_nonlift with 811s (1) cores
% 0.17/0.46  # Starting ehoh_best3_fo with 151s (1) cores
% 0.17/0.46  # Preprocessing time       : 0.001 s
% 0.17/0.46  # Presaturation interreduction done
% 0.17/0.46  
% 0.17/0.46  # Proof found!
% 0.17/0.46  # SZS status Theorem
% 0.17/0.46  # SZS output start CNFRefutation
% See solution above
% 0.17/0.46  # Parsed axioms                        : 3
% 0.17/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.17/0.46  # Initial clauses                      : 2
% 0.17/0.46  # Removed in clause preprocessing      : 1
% 0.17/0.46  # Initial clauses in saturation        : 1
% 0.17/0.46  # Processed clauses                    : 8
% 0.17/0.46  # ...of these trivial                  : 0
% 0.17/0.46  # ...subsumed                          : 1
% 0.17/0.46  # ...remaining for further processing  : 7
% 0.17/0.46  # Other redundant clauses eliminated   : 0
% 0.17/0.46  # Clauses deleted for lack of memory   : 0
% 0.17/0.46  # Backward-subsumed                    : 0
% 0.17/0.46  # Backward-rewritten                   : 0
% 0.17/0.46  # Generated clauses                    : 15
% 0.17/0.46  # ...of the previous two non-redundant : 10
% 0.17/0.46  # ...aggressively subsumed             : 0
% 0.17/0.46  # Contextual simplify-reflections      : 0
% 0.17/0.46  # Paramodulations                      : 0
% 0.17/0.46  # Factorizations                       : 0
% 0.17/0.46  # NegExts                              : 0
% 0.17/0.46  # Equation resolutions                 : 0
% 0.17/0.46  # Disequality decompositions           : 0
% 0.17/0.46  # Total rewrite steps                  : 0
% 0.17/0.46  # ...of those cached                   : 0
% 0.17/0.46  # Propositional unsat checks           : 0
% 0.17/0.46  #    Propositional check models        : 0
% 0.17/0.46  #    Propositional check unsatisfiable : 0
% 0.17/0.46  #    Propositional clauses             : 0
% 0.17/0.46  #    Propositional clauses after purity: 0
% 0.17/0.46  #    Propositional unsat core size     : 0
% 0.17/0.46  #    Propositional preprocessing time  : 0.000
% 0.17/0.46  #    Propositional encoding time       : 0.000
% 0.17/0.46  #    Propositional solver time         : 0.000
% 0.17/0.46  #    Success case prop preproc time    : 0.000
% 0.17/0.46  #    Success case prop encoding time   : 0.000
% 0.17/0.46  #    Success case prop solver time     : 0.000
% 0.17/0.46  # Current number of processed clauses  : 4
% 0.17/0.46  #    Positive orientable unit clauses  : 0
% 0.17/0.46  #    Positive unorientable unit clauses: 0
% 0.17/0.46  #    Negative unit clauses             : 1
% 0.17/0.46  #    Non-unit-clauses                  : 3
% 0.17/0.46  # Current number of unprocessed clauses: 3
% 0.17/0.46  # ...number of literals in the above   : 5
% 0.17/0.46  # Current number of archived formulas  : 0
% 0.17/0.46  # Current number of archived clauses   : 3
% 0.17/0.46  # Clause-clause subsumption calls (NU) : 7
% 0.17/0.46  # Rec. Clause-clause subsumption calls : 5
% 0.17/0.46  # Non-unit clause-clause subsumptions  : 1
% 0.17/0.46  # Unit Clause-clause subsumption calls : 2
% 0.17/0.46  # Rewrite failures with RHS unbound    : 0
% 0.17/0.46  # BW rewrite match attempts            : 0
% 0.17/0.46  # BW rewrite match successes           : 0
% 0.17/0.46  # Condensation attempts                : 0
% 0.17/0.46  # Condensation successes               : 0
% 0.17/0.46  # Termbank termtop insertions          : 608
% 0.17/0.46  # Search garbage collected termcells   : 73
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.007 s
% 0.17/0.46  # System time              : 0.004 s
% 0.17/0.46  # Total time               : 0.010 s
% 0.17/0.46  # Maximum resident set size: 1768 pages
% 0.17/0.46  
% 0.17/0.46  # -------------------------------------------------
% 0.17/0.46  # User time                : 0.009 s
% 0.17/0.46  # System time              : 0.006 s
% 0.17/0.46  # Total time               : 0.015 s
% 0.17/0.46  # Maximum resident set size: 1704 pages
% 0.17/0.46  % E---3.1 exiting
% 0.17/0.46  % E exiting
%------------------------------------------------------------------------------