TSTP Solution File: ITP029^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP029^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 22:15:58 EDT 2024

% Result   : ContradictoryAxioms 0.62s 0.57s
% Output   : CNFRefutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   16 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :   10 (   2 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   28 (   4   ~;   0   |;   0   &;  24   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

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

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

thf(decl_54,type,
    ord_less_int: int > int > $o ).

thf(decl_77,type,
    a2: a ).

thf(decl_78,type,
    b: a ).

thf(decl_79,type,
    h: a > int ).

thf(fact_115_less__irrefl,axiom,
    ! [X267: int] :
      ~ ( ord_less_int @ X267 @ X267 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_less__irrefl) ).

thf(fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062,axiom,
    ord_less_int @ ( h @ b ) @ ( h @ a2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062) ).

thf(fact_0_hahb,axiom,
    ( ( h @ a2 )
    = ( h @ b ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_hahb) ).

thf(c_0_3,plain,
    ! [X267: int] :
      ~ ( ord_less_int @ X267 @ X267 ),
    inference(fof_simplification,[status(thm)],[fact_115_less__irrefl]) ).

thf(c_0_4,plain,
    ord_less_int @ ( h @ b ) @ ( h @ a2 ),
    inference(split_conjunct,[status(thm)],[fact_1__092_060open_062h_Ab_A_060_Ah_Aa_092_060close_062]) ).

thf(c_0_5,plain,
    ( ( h @ a2 )
    = ( h @ b ) ),
    inference(split_conjunct,[status(thm)],[fact_0_hahb]) ).

thf(c_0_6,plain,
    ! [X1602: int] :
      ~ ( ord_less_int @ X1602 @ X1602 ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).

thf(c_0_7,plain,
    ord_less_int @ ( h @ b ) @ ( h @ b ),
    inference(rw,[status(thm)],[c_0_4,c_0_5]) ).

thf(c_0_8,plain,
    ! [X31: int] :
      ~ ( ord_less_int @ X31 @ X31 ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,plain,
    $false,
    inference(sr,[status(thm)],[c_0_7,c_0_8]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : ITP029^1 : TPTP v8.2.0. Released v7.5.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n016.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 15:24:08 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running higher-order theorem proving
% 0.20/0.49  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
% 0.62/0.57  # Version: 3.1.0-ho
% 0.62/0.57  # Preprocessing class: HSLSSMSMSSLCHFA.
% 0.62/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.57  # Starting new_ho_12 with 1500s (5) cores
% 0.62/0.57  # Starting lpo1_def_fix with 300s (1) cores
% 0.62/0.57  # Starting pre_casc_7 with 300s (1) cores
% 0.62/0.57  # Starting lpo8_lambda_fix with 300s (1) cores
% 0.62/0.57  # lpo1_def_fix with pid 3257 completed with status 0
% 0.62/0.57  # Result found by lpo1_def_fix
% 0.62/0.57  # Preprocessing class: HSLSSMSMSSLCHFA.
% 0.62/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.57  # Starting new_ho_12 with 1500s (5) cores
% 0.62/0.57  # Starting lpo1_def_fix with 300s (1) cores
% 0.62/0.57  # SinE strategy is gf600_gu_R05_F100_L20000
% 0.62/0.57  # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.62/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.62/0.57  # Starting sh9 with 163s (1) cores
% 0.62/0.57  # sh9 with pid 3261 completed with status 0
% 0.62/0.57  # Result found by sh9
% 0.62/0.57  # Preprocessing class: HSLSSMSMSSLCHFA.
% 0.62/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.62/0.57  # Starting new_ho_12 with 1500s (5) cores
% 0.62/0.57  # Starting lpo1_def_fix with 300s (1) cores
% 0.62/0.57  # SinE strategy is gf600_gu_R05_F100_L20000
% 0.62/0.57  # Search class: HGHSM-FSLM32-MHFFFSBN
% 0.62/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.62/0.57  # Starting sh9 with 163s (1) cores
% 0.62/0.57  # Preprocessing time       : 0.012 s
% 0.62/0.57  # Presaturation interreduction done
% 0.62/0.57  
% 0.62/0.57  # Proof found!
% 0.62/0.57  # SZS status ContradictoryAxioms
% 0.62/0.57  # SZS output start CNFRefutation
% See solution above
% 0.62/0.57  # Parsed axioms                        : 419
% 0.62/0.57  # Removed by relevancy pruning/SinE    : 165
% 0.62/0.57  # Initial clauses                      : 553
% 0.62/0.57  # Removed in clause preprocessing      : 12
% 0.62/0.57  # Initial clauses in saturation        : 541
% 0.62/0.57  # Processed clauses                    : 46
% 0.62/0.57  # ...of these trivial                  : 6
% 0.62/0.57  # ...subsumed                          : 6
% 0.62/0.57  # ...remaining for further processing  : 34
% 0.62/0.57  # Other redundant clauses eliminated   : 3
% 0.62/0.57  # Clauses deleted for lack of memory   : 0
% 0.62/0.57  # Backward-subsumed                    : 0
% 0.62/0.57  # Backward-rewritten                   : 0
% 0.62/0.57  # Generated clauses                    : 3
% 0.62/0.57  # ...of the previous two non-redundant : 0
% 0.62/0.57  # ...aggressively subsumed             : 0
% 0.62/0.57  # Contextual simplify-reflections      : 0
% 0.62/0.57  # Paramodulations                      : 0
% 0.62/0.57  # Factorizations                       : 0
% 0.62/0.57  # NegExts                              : 0
% 0.62/0.57  # Equation resolutions                 : 3
% 0.62/0.57  # Disequality decompositions           : 0
% 0.62/0.57  # Total rewrite steps                  : 9
% 0.62/0.57  # ...of those cached                   : 2
% 0.62/0.57  # Propositional unsat checks           : 0
% 0.62/0.57  #    Propositional check models        : 0
% 0.62/0.57  #    Propositional check unsatisfiable : 0
% 0.62/0.57  #    Propositional clauses             : 0
% 0.62/0.57  #    Propositional clauses after purity: 0
% 0.62/0.57  #    Propositional unsat core size     : 0
% 0.62/0.57  #    Propositional preprocessing time  : 0.000
% 0.62/0.57  #    Propositional encoding time       : 0.000
% 0.62/0.57  #    Propositional solver time         : 0.000
% 0.62/0.57  #    Success case prop preproc time    : 0.000
% 0.62/0.57  #    Success case prop encoding time   : 0.000
% 0.62/0.57  #    Success case prop solver time     : 0.000
% 0.62/0.57  # Current number of processed clauses  : 31
% 0.62/0.57  #    Positive orientable unit clauses  : 19
% 0.62/0.57  #    Positive unorientable unit clauses: 0
% 0.62/0.57  #    Negative unit clauses             : 9
% 0.62/0.57  #    Non-unit-clauses                  : 3
% 0.62/0.57  # Current number of unprocessed clauses: 495
% 0.62/0.57  # ...number of literals in the above   : 2031
% 0.62/0.57  # Current number of archived formulas  : 0
% 0.62/0.57  # Current number of archived clauses   : 1
% 0.62/0.57  # Clause-clause subsumption calls (NU) : 9
% 0.62/0.57  # Rec. Clause-clause subsumption calls : 9
% 0.62/0.57  # Non-unit clause-clause subsumptions  : 0
% 0.62/0.57  # Unit Clause-clause subsumption calls : 6
% 0.62/0.57  # Rewrite failures with RHS unbound    : 0
% 0.62/0.57  # BW rewrite match attempts            : 5
% 0.62/0.57  # BW rewrite match successes           : 0
% 0.62/0.57  # Condensation attempts                : 46
% 0.62/0.57  # Condensation successes               : 0
% 0.62/0.57  # Termbank termtop insertions          : 41069
% 0.62/0.57  # Search garbage collected termcells   : 12116
% 0.62/0.57  
% 0.62/0.57  # -------------------------------------------------
% 0.62/0.57  # User time                : 0.048 s
% 0.62/0.57  # System time              : 0.010 s
% 0.62/0.57  # Total time               : 0.057 s
% 0.62/0.57  # Maximum resident set size: 4632 pages
% 0.62/0.57  
% 0.62/0.57  # -------------------------------------------------
% 0.62/0.57  # User time                : 0.060 s
% 0.62/0.57  # System time              : 0.013 s
% 0.62/0.57  # Total time               : 0.073 s
% 0.62/0.57  # Maximum resident set size: 2616 pages
% 0.62/0.57  % E---3.1 exiting
% 0.62/0.57  % E exiting
%------------------------------------------------------------------------------