TSTP Solution File: ITP276^3 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP276^3 : TPTP v8.2.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n025.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 22:17:55 EDT 2024

% Result   : ContradictoryAxioms 4.50s 2.16s
% Output   : CNFRefutation 4.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   24 (  14 unt;  10 typ;   0 def)
%            Number of atoms       :   14 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   34 (   4   ~;   0   |;   0   &;  30   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

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

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

thf(decl_290,type,
    one_one_nat: nat ).

thf(decl_330,type,
    zero_zero_nat: nat ).

thf(decl_693,type,
    suc: nat > nat ).

thf(decl_781,type,
    bit0: num > num ).

thf(decl_783,type,
    one: num ).

thf(decl_791,type,
    numeral_numeral_nat: num > nat ).

thf(decl_852,type,
    ord_less_eq_nat: nat > nat > $o ).

thf(decl_1295,type,
    deg: nat ).

thf(fact_103_Suc__n__not__le__n,axiom,
    ! [X173: nat] :
      ~ ( ord_less_eq_nat @ ( suc @ X173 ) @ X173 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_103_Suc__n__not__le__n) ).

thf(fact_75__C1_C_I2_J,axiom,
    ( deg
    = ( suc @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75__C1_C_I2_J) ).

thf(fact_1158_One__nat__def,axiom,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1158_One__nat__def) ).

thf(fact_2986_a0,axiom,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2986_a0) ).

thf(fact_3212_Suc__1,axiom,
    ( ( suc @ one_one_nat )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3212_Suc__1) ).

thf(c_0_5,plain,
    ! [X173: nat] :
      ~ ( ord_less_eq_nat @ ( suc @ X173 ) @ X173 ),
    inference(fof_simplification,[status(thm)],[fact_103_Suc__n__not__le__n]) ).

thf(c_0_6,plain,
    ( deg
    = ( suc @ zero_zero_nat ) ),
    inference(split_conjunct,[status(thm)],[fact_75__C1_C_I2_J]) ).

thf(c_0_7,plain,
    ( one_one_nat
    = ( suc @ zero_zero_nat ) ),
    inference(split_conjunct,[status(thm)],[fact_1158_One__nat__def]) ).

thf(c_0_8,plain,
    ! [X25627: nat] :
      ~ ( ord_less_eq_nat @ ( suc @ X25627 ) @ X25627 ),
    inference(variable_rename,[status(thm)],[c_0_5]) ).

thf(c_0_9,plain,
    ord_less_eq_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg,
    inference(split_conjunct,[status(thm)],[fact_2986_a0]) ).

thf(c_0_10,plain,
    ( ( suc @ one_one_nat )
    = ( numeral_numeral_nat @ ( bit0 @ one ) ) ),
    inference(split_conjunct,[status(thm)],[fact_3212_Suc__1]) ).

thf(c_0_11,plain,
    deg = one_one_nat,
    inference(rw,[status(thm)],[c_0_6,c_0_7]) ).

thf(c_0_12,plain,
    ! [X3: nat] :
      ~ ( ord_less_eq_nat @ ( suc @ X3 ) @ X3 ),
    inference(split_conjunct,[status(thm)],[c_0_8]) ).

thf(c_0_13,plain,
    $false,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_11]),c_0_12]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ITP276^3 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat May 18 18:30:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  Running higher-order theorem proving
% 0.22/0.50  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
% 4.50/2.16  # Version: 3.1.0-ho
% 4.50/2.16  # partial match(3): HMLMSMSMSSLCHFA
% 4.50/2.16  # Preprocessing class: HMLLSLLMSSLCHFA.
% 4.50/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/2.16  # Starting new_ho_10 with 1500s (5) cores
% 4.50/2.16  # Starting sh5l with 300s (1) cores
% 4.50/2.16  # Starting new_bool_1 with 300s (1) cores
% 4.50/2.16  # Starting new_bool_2 with 300s (1) cores
% 4.50/2.16  # new_bool_2 with pid 2658 completed with status 0
% 4.50/2.16  # Result found by new_bool_2
% 4.50/2.16  # partial match(3): HMLMSMSMSSLCHFA
% 4.50/2.16  # Preprocessing class: HMLLSLLMSSLCHFA.
% 4.50/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/2.16  # Starting new_ho_10 with 1500s (5) cores
% 4.50/2.16  # Starting sh5l with 300s (1) cores
% 4.50/2.16  # Starting new_bool_1 with 300s (1) cores
% 4.50/2.16  # Starting new_bool_2 with 300s (1) cores
% 4.50/2.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.50/2.16  # Search class: HGHSM-SMLM32-DHFFFFBN
% 4.50/2.16  # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 4.50/2.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.50/2.16  # Starting new_ho_10 with 181s (1) cores
% 4.50/2.16  # new_ho_10 with pid 2659 completed with status 0
% 4.50/2.16  # Result found by new_ho_10
% 4.50/2.16  # partial match(3): HMLMSMSMSSLCHFA
% 4.50/2.16  # Preprocessing class: HMLLSLLMSSLCHFA.
% 4.50/2.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 4.50/2.16  # Starting new_ho_10 with 1500s (5) cores
% 4.50/2.16  # Starting sh5l with 300s (1) cores
% 4.50/2.16  # Starting new_bool_1 with 300s (1) cores
% 4.50/2.16  # Starting new_bool_2 with 300s (1) cores
% 4.50/2.16  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 4.50/2.16  # Search class: HGHSM-SMLM32-DHFFFFBN
% 4.50/2.16  # partial match(1): HGHSM-SMLM32-DHFFFSBN
% 4.50/2.16  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 4.50/2.16  # Starting new_ho_10 with 181s (1) cores
% 4.50/2.16  # Preprocessing time       : 0.128 s
% 4.50/2.16  # Presaturation interreduction done
% 4.50/2.16  
% 4.50/2.16  # Proof found!
% 4.50/2.16  # SZS status ContradictoryAxioms
% 4.50/2.16  # SZS output start CNFRefutation
% See solution above
% 4.50/2.16  # Parsed axioms                        : 11045
% 4.50/2.16  # Removed by relevancy pruning/SinE    : 8568
% 4.50/2.16  # Initial clauses                      : 6998
% 4.50/2.16  # Removed in clause preprocessing      : 1910
% 4.50/2.16  # Initial clauses in saturation        : 5088
% 4.50/2.16  # Processed clauses                    : 266
% 4.50/2.16  # ...of these trivial                  : 24
% 4.50/2.16  # ...subsumed                          : 66
% 4.50/2.16  # ...remaining for further processing  : 175
% 4.50/2.16  # Other redundant clauses eliminated   : 59
% 4.50/2.16  # Clauses deleted for lack of memory   : 0
% 4.50/2.16  # Backward-subsumed                    : 1
% 4.50/2.16  # Backward-rewritten                   : 4
% 4.50/2.16  # Generated clauses                    : 59
% 4.50/2.16  # ...of the previous two non-redundant : 49
% 4.50/2.16  # ...aggressively subsumed             : 0
% 4.50/2.16  # Contextual simplify-reflections      : 0
% 4.50/2.16  # Paramodulations                      : 0
% 4.50/2.16  # Factorizations                       : 0
% 4.50/2.16  # NegExts                              : 0
% 4.50/2.16  # Equation resolutions                 : 59
% 4.50/2.16  # Disequality decompositions           : 0
% 4.50/2.16  # Total rewrite steps                  : 62
% 4.50/2.16  # ...of those cached                   : 31
% 4.50/2.16  # Propositional unsat checks           : 0
% 4.50/2.16  #    Propositional check models        : 0
% 4.50/2.16  #    Propositional check unsatisfiable : 0
% 4.50/2.16  #    Propositional clauses             : 0
% 4.50/2.16  #    Propositional clauses after purity: 0
% 4.50/2.16  #    Propositional unsat core size     : 0
% 4.50/2.16  #    Propositional preprocessing time  : 0.000
% 4.50/2.16  #    Propositional encoding time       : 0.000
% 4.50/2.16  #    Propositional solver time         : 0.000
% 4.50/2.16  #    Success case prop preproc time    : 0.000
% 4.50/2.16  #    Success case prop encoding time   : 0.000
% 4.50/2.16  #    Success case prop solver time     : 0.000
% 4.50/2.16  # Current number of processed clauses  : 111
% 4.50/2.16  #    Positive orientable unit clauses  : 67
% 4.50/2.16  #    Positive unorientable unit clauses: 0
% 4.50/2.16  #    Negative unit clauses             : 35
% 4.50/2.16  #    Non-unit-clauses                  : 9
% 4.50/2.16  # Current number of unprocessed clauses: 4871
% 4.50/2.16  # ...number of literals in the above   : 18291
% 4.50/2.16  # Current number of archived formulas  : 0
% 4.50/2.16  # Current number of archived clauses   : 5
% 4.50/2.16  # Clause-clause subsumption calls (NU) : 269
% 4.50/2.16  # Rec. Clause-clause subsumption calls : 257
% 4.50/2.16  # Non-unit clause-clause subsumptions  : 5
% 4.50/2.16  # Unit Clause-clause subsumption calls : 465
% 4.50/2.16  # Rewrite failures with RHS unbound    : 0
% 4.50/2.16  # BW rewrite match attempts            : 9
% 4.50/2.16  # BW rewrite match successes           : 4
% 4.50/2.16  # Condensation attempts                : 266
% 4.50/2.16  # Condensation successes               : 0
% 4.50/2.16  # Termbank termtop insertions          : 629463
% 4.50/2.16  # Search garbage collected termcells   : 172118
% 4.50/2.16  
% 4.50/2.16  # -------------------------------------------------
% 4.50/2.16  # User time                : 0.786 s
% 4.50/2.16  # System time              : 0.067 s
% 4.50/2.16  # Total time               : 0.853 s
% 4.50/2.16  # Maximum resident set size: 42772 pages
% 4.50/2.16  
% 4.50/2.16  # -------------------------------------------------
% 4.50/2.16  # User time                : 1.540 s
% 4.50/2.16  # System time              : 0.090 s
% 4.50/2.16  # Total time               : 1.630 s
% 4.50/2.16  # Maximum resident set size: 26628 pages
% 4.50/2.16  % E---3.1 exiting
% 4.50/2.16  % E exiting
%------------------------------------------------------------------------------