TSTP Solution File: ITP236^3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP236^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n006.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 : Mon May 20 22:17:18 EDT 2024

% Result   : Theorem 5.65s 2.85s
% Output   : CNFRefutation 5.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   20 (   8 unt;   9 typ;   0 def)
%            Number of atoms       :   14 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (   5   ~;   2   |;   0   &;  28   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    5 (   0   ^   4   !;   1   ?;   5   :)

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

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

thf(decl_sort3,type,
    list_VEBT_VEBT: $tType ).

thf(decl_497,type,
    nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).

thf(decl_1033,type,
    vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).

thf(decl_1132,type,
    maxs: nat ).

thf(decl_1136,type,
    thesis: $o ).

thf(decl_1137,type,
    treeList: list_VEBT_VEBT ).

thf(decl_1179,type,
    esk38_0: nat ).

thf(conj_0,hypothesis,
    ! [X19008: nat] :
      ( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X19008 )
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(conj_1,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

thf(fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062,axiom,
    ? [X1: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).

thf(c_0_3,hypothesis,
    ! [X24341: nat] :
      ( ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X24341 )
      | thesis ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])]) ).

thf(c_0_4,negated_conjecture,
    ~ thesis,
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).

thf(c_0_5,plain,
    vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ esk38_0,
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062])]) ).

thf(c_0_6,hypothesis,
    ! [X1: nat] :
      ( thesis
      | ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ) ),
    inference(split_conjunct,[status(thm)],[c_0_3]) ).

thf(c_0_7,negated_conjecture,
    ~ thesis,
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

thf(c_0_8,plain,
    vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ esk38_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_9,hypothesis,
    ! [X1: nat] :
      ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ maxs ) @ X1 ),
    inference(sr,[status(thm)],[c_0_6,c_0_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : ITP236^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat May 18 15:35:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running higher-order theorem proving
% 0.21/0.49  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
% 5.65/2.85  # Version: 3.1.0-ho
% 5.65/2.85  # partial match(2): HMLMSMSMSSLCHFA
% 5.65/2.85  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.65/2.85  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.65/2.85  # Starting new_ho_10 with 1495s (5) cores
% 5.65/2.85  # Starting sh5l with 299s (1) cores
% 5.65/2.85  # Starting new_bool_1 with 299s (1) cores
% 5.65/2.85  # Starting new_bool_2 with 299s (1) cores
% 5.65/2.85  # new_bool_2 with pid 1832 completed with status 0
% 5.65/2.85  # Result found by new_bool_2
% 5.65/2.85  # partial match(2): HMLMSMSMSSLCHFA
% 5.65/2.85  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.65/2.85  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.65/2.85  # Starting new_ho_10 with 1495s (5) cores
% 5.65/2.85  # Starting sh5l with 299s (1) cores
% 5.65/2.85  # Starting new_bool_1 with 299s (1) cores
% 5.65/2.85  # Starting new_bool_2 with 299s (1) cores
% 5.65/2.85  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.65/2.85  # Search class: HGHSM-SMLM32-DHFFFSBN
% 5.65/2.85  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 5.65/2.85  # Starting new_ho_10 with 180s (1) cores
% 5.65/2.85  # new_ho_10 with pid 1833 completed with status 0
% 5.65/2.85  # Result found by new_ho_10
% 5.65/2.85  # partial match(2): HMLMSMSMSSLCHFA
% 5.65/2.85  # Preprocessing class: HMLLSMLMSSLCHFA.
% 5.65/2.85  # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 5.65/2.85  # Starting new_ho_10 with 1495s (5) cores
% 5.65/2.85  # Starting sh5l with 299s (1) cores
% 5.65/2.85  # Starting new_bool_1 with 299s (1) cores
% 5.65/2.85  # Starting new_bool_2 with 299s (1) cores
% 5.65/2.85  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 5.65/2.85  # Search class: HGHSM-SMLM32-DHFFFSBN
% 5.65/2.85  # Scheduled 5 strats onto 1 cores with 299 seconds (299 total)
% 5.65/2.85  # Starting new_ho_10 with 180s (1) cores
% 5.65/2.85  # Preprocessing time       : 0.122 s
% 5.65/2.85  # Presaturation interreduction done
% 5.65/2.85  
% 5.65/2.85  # Proof found!
% 5.65/2.85  # SZS status Theorem
% 5.65/2.85  # SZS output start CNFRefutation
% See solution above
% 5.65/2.85  # Parsed axioms                        : 11120
% 5.65/2.85  # Removed by relevancy pruning/SinE    : 8959
% 5.65/2.85  # Initial clauses                      : 6517
% 5.65/2.85  # Removed in clause preprocessing      : 1886
% 5.65/2.85  # Initial clauses in saturation        : 4631
% 5.65/2.85  # Processed clauses                    : 344
% 5.65/2.85  # ...of these trivial                  : 26
% 5.65/2.85  # ...subsumed                          : 110
% 5.65/2.85  # ...remaining for further processing  : 208
% 5.65/2.85  # Other redundant clauses eliminated   : 64
% 5.65/2.85  # Clauses deleted for lack of memory   : 0
% 5.65/2.85  # Backward-subsumed                    : 3
% 5.65/2.85  # Backward-rewritten                   : 6
% 5.65/2.85  # Generated clauses                    : 65
% 5.65/2.85  # ...of the previous two non-redundant : 57
% 5.65/2.85  # ...aggressively subsumed             : 0
% 5.65/2.85  # Contextual simplify-reflections      : 0
% 5.65/2.85  # Paramodulations                      : 0
% 5.65/2.85  # Factorizations                       : 0
% 5.65/2.85  # NegExts                              : 0
% 5.65/2.85  # Equation resolutions                 : 64
% 5.65/2.85  # Disequality decompositions           : 0
% 5.65/2.85  # Total rewrite steps                  : 55
% 5.65/2.85  # ...of those cached                   : 22
% 5.65/2.85  # Propositional unsat checks           : 0
% 5.65/2.85  #    Propositional check models        : 0
% 5.65/2.85  #    Propositional check unsatisfiable : 0
% 5.65/2.85  #    Propositional clauses             : 0
% 5.65/2.85  #    Propositional clauses after purity: 0
% 5.65/2.85  #    Propositional unsat core size     : 0
% 5.65/2.85  #    Propositional preprocessing time  : 0.000
% 5.65/2.85  #    Propositional encoding time       : 0.000
% 5.65/2.85  #    Propositional solver time         : 0.000
% 5.65/2.85  #    Success case prop preproc time    : 0.000
% 5.65/2.85  #    Success case prop encoding time   : 0.000
% 5.65/2.85  #    Success case prop solver time     : 0.000
% 5.65/2.85  # Current number of processed clauses  : 134
% 5.65/2.85  #    Positive orientable unit clauses  : 61
% 5.65/2.85  #    Positive unorientable unit clauses: 0
% 5.65/2.85  #    Negative unit clauses             : 58
% 5.65/2.85  #    Non-unit-clauses                  : 15
% 5.65/2.85  # Current number of unprocessed clauses: 4344
% 5.65/2.85  # ...number of literals in the above   : 18317
% 5.65/2.85  # Current number of archived formulas  : 0
% 5.65/2.85  # Current number of archived clauses   : 10
% 5.65/2.85  # Clause-clause subsumption calls (NU) : 166
% 5.65/2.85  # Rec. Clause-clause subsumption calls : 165
% 5.65/2.86  # Non-unit clause-clause subsumptions  : 26
% 5.65/2.86  # Unit Clause-clause subsumption calls : 628
% 5.65/2.86  # Rewrite failures with RHS unbound    : 0
% 5.65/2.86  # BW rewrite match attempts            : 23
% 5.65/2.86  # BW rewrite match successes           : 6
% 5.65/2.86  # Condensation attempts                : 344
% 5.65/2.86  # Condensation successes               : 0
% 5.65/2.86  # Termbank termtop insertions          : 558021
% 5.65/2.86  # Search garbage collected termcells   : 164114
% 5.65/2.86  
% 5.65/2.86  # -------------------------------------------------
% 5.65/2.86  # User time                : 0.947 s
% 5.65/2.86  # System time              : 0.067 s
% 5.65/2.86  # Total time               : 1.013 s
% 5.65/2.86  # Maximum resident set size: 38032 pages
% 5.65/2.86  
% 5.65/2.86  # -------------------------------------------------
% 5.65/2.86  # User time                : 2.210 s
% 5.65/2.86  # System time              : 0.098 s
% 5.65/2.86  # Total time               : 2.308 s
% 5.65/2.86  # Maximum resident set size: 26664 pages
% 5.65/2.86  % E---3.1 exiting
% 5.65/2.86  % E exiting
%------------------------------------------------------------------------------