TSTP Solution File: ITP060^1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : ITP060^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n026.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 22:16:07 EDT 2024

% Result   : Theorem 0.18s 0.57s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :   20 (   7 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :  123 (   8   ~;   4   |;   0   &; 109   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    4 (   3 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0   ^  12   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_sort1,type,
    config256849571t_unit: $tType ).

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

thf(decl_sort3,type,
    list_c1059388851t_unit: $tType ).

thf(decl_26,type,
    minus_minus_nat: nat > nat > nat ).

thf(decl_27,type,
    one_one_nat: nat ).

thf(decl_35,type,
    nth_co1649820636t_unit: list_c1059388851t_unit > nat > config256849571t_unit ).

thf(decl_37,type,
    suc: nat > nat ).

thf(decl_38,type,
    size_s1406904903t_unit: list_c1059388851t_unit > nat ).

thf(decl_40,type,
    ord_less_nat: nat > nat > $o ).

thf(decl_42,type,
    fe: nat > list_c1059388851t_unit ).

thf(decl_44,type,
    index: nat ).

thf(decl_48,type,
    n1: nat ).

thf(conj_0,conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
    = ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(fact_1_SameCfgOnLow,axiom,
    ! [X1: nat] :
      ( ( ord_less_nat @ X1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
     => ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X1 )
        = ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_SameCfgOnLow) ).

thf(fact_154_less__imp__diff__less,axiom,
    ! [X25: nat,X4: nat,X2: nat] :
      ( ( ord_less_nat @ X25 @ X4 )
     => ( ord_less_nat @ ( minus_minus_nat @ X25 @ X2 ) @ X4 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_less__imp__diff__less) ).

thf(fact_0_Occ3_H,axiom,
    ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Occ3_H) ).

thf(c_0_4,negated_conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).

thf(c_0_5,negated_conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(fof_nnf,[status(thm)],[c_0_4]) ).

thf(c_0_6,plain,
    ! [X609: nat] :
      ( ~ ( ord_less_nat @ X609 @ ( size_s1406904903t_unit @ ( fe @ index ) ) )
      | ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X609 )
        = ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X609 ) ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_SameCfgOnLow])])]) ).

thf(c_0_7,negated_conjecture,
    ( ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ ( minus_minus_nat @ n1 @ one_one_nat ) )
   != ( nth_co1649820636t_unit @ ( fe @ index ) @ ( minus_minus_nat @ n1 @ one_one_nat ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

thf(c_0_8,plain,
    ! [X1: nat] :
      ( ( ( nth_co1649820636t_unit @ ( fe @ index ) @ X1 )
        = ( nth_co1649820636t_unit @ ( fe @ ( suc @ index ) ) @ X1 ) )
      | ~ ( ord_less_nat @ X1 @ ( size_s1406904903t_unit @ ( fe @ index ) ) ) ),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

thf(c_0_9,plain,
    ! [X686: nat,X687: nat,X688: nat] :
      ( ~ ( ord_less_nat @ X686 @ X687 )
      | ( ord_less_nat @ ( minus_minus_nat @ X686 @ X688 ) @ X687 ) ),
    inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_154_less__imp__diff__less])])]) ).

thf(c_0_10,negated_conjecture,
    ~ ( ord_less_nat @ ( minus_minus_nat @ n1 @ one_one_nat ) @ ( size_s1406904903t_unit @ ( fe @ index ) ) ),
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

thf(c_0_11,plain,
    ! [X1: nat,X3: nat,X2: nat] :
      ( ( ord_less_nat @ ( minus_minus_nat @ X1 @ X3 ) @ X2 )
      | ~ ( ord_less_nat @ X1 @ X2 ) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

thf(c_0_12,plain,
    ord_less_nat @ n1 @ ( size_s1406904903t_unit @ ( fe @ index ) ),
    inference(split_conjunct,[status(thm)],[fact_0_Occ3_H]) ).

thf(c_0_13,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : ITP060^1 : TPTP v8.2.0. Released v7.5.0.
% 0.10/0.12  % Command    : run_E %s %d THM
% 0.11/0.33  % Computer : n026.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Sat May 18 17:40:53 EDT 2024
% 0.11/0.33  % 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
% 0.18/0.57  # Version: 3.1.0-ho
% 0.18/0.57  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.18/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.57  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.18/0.57  # Starting full_lambda_6 with 300s (1) cores
% 0.18/0.57  # Starting full_lambda_9 with 300s (1) cores
% 0.18/0.57  # full_lambda_6 with pid 8468 completed with status 0
% 0.18/0.57  # Result found by full_lambda_6
% 0.18/0.57  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.18/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.57  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.18/0.57  # Starting full_lambda_6 with 300s (1) cores
% 0.18/0.57  # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.18/0.57  # Search class: HGHSM-FSLM31-DHFFFSBC
% 0.18/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.57  # Starting new_ho_10 with 163s (1) cores
% 0.18/0.57  # new_ho_10 with pid 8470 completed with status 0
% 0.18/0.57  # Result found by new_ho_10
% 0.18/0.57  # Preprocessing class: HSLSSMSMSSSNHFA.
% 0.18/0.57  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.57  # Starting new_ho_10 with 1500s (5) cores
% 0.18/0.57  # Starting new_ho_10_cnf2 with 300s (1) cores
% 0.18/0.57  # Starting full_lambda_6 with 300s (1) cores
% 0.18/0.57  # SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.18/0.57  # Search class: HGHSM-FSLM31-DHFFFSBC
% 0.18/0.57  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.18/0.57  # Starting new_ho_10 with 163s (1) cores
% 0.18/0.57  # Preprocessing time       : 0.007 s
% 0.18/0.57  # Presaturation interreduction done
% 0.18/0.57  
% 0.18/0.57  # Proof found!
% 0.18/0.57  # SZS status Theorem
% 0.18/0.57  # SZS output start CNFRefutation
% See solution above
% 0.18/0.57  # Parsed axioms                        : 279
% 0.18/0.57  # Removed by relevancy pruning/SinE    : 46
% 0.18/0.57  # Initial clauses                      : 379
% 0.18/0.57  # Removed in clause preprocessing      : 11
% 0.18/0.57  # Initial clauses in saturation        : 368
% 0.18/0.57  # Processed clauses                    : 595
% 0.18/0.57  # ...of these trivial                  : 12
% 0.18/0.57  # ...subsumed                          : 100
% 0.18/0.57  # ...remaining for further processing  : 483
% 0.18/0.57  # Other redundant clauses eliminated   : 70
% 0.18/0.57  # Clauses deleted for lack of memory   : 0
% 0.18/0.57  # Backward-subsumed                    : 0
% 0.18/0.57  # Backward-rewritten                   : 3
% 0.18/0.57  # Generated clauses                    : 1121
% 0.18/0.57  # ...of the previous two non-redundant : 942
% 0.18/0.57  # ...aggressively subsumed             : 0
% 0.18/0.57  # Contextual simplify-reflections      : 1
% 0.18/0.57  # Paramodulations                      : 1034
% 0.18/0.57  # Factorizations                       : 0
% 0.18/0.57  # NegExts                              : 0
% 0.18/0.57  # Equation resolutions                 : 71
% 0.18/0.57  # Disequality decompositions           : 0
% 0.18/0.57  # Total rewrite steps                  : 275
% 0.18/0.57  # ...of those cached                   : 210
% 0.18/0.57  # Propositional unsat checks           : 0
% 0.18/0.57  #    Propositional check models        : 0
% 0.18/0.57  #    Propositional check unsatisfiable : 0
% 0.18/0.57  #    Propositional clauses             : 0
% 0.18/0.57  #    Propositional clauses after purity: 0
% 0.18/0.57  #    Propositional unsat core size     : 0
% 0.18/0.57  #    Propositional preprocessing time  : 0.000
% 0.18/0.57  #    Propositional encoding time       : 0.000
% 0.18/0.57  #    Propositional solver time         : 0.000
% 0.18/0.57  #    Success case prop preproc time    : 0.000
% 0.18/0.57  #    Success case prop encoding time   : 0.000
% 0.18/0.57  #    Success case prop solver time     : 0.000
% 0.18/0.57  # Current number of processed clauses  : 161
% 0.18/0.57  #    Positive orientable unit clauses  : 68
% 0.18/0.57  #    Positive unorientable unit clauses: 1
% 0.18/0.57  #    Negative unit clauses             : 18
% 0.18/0.57  #    Non-unit-clauses                  : 74
% 0.18/0.57  # Current number of unprocessed clauses: 974
% 0.18/0.57  # ...number of literals in the above   : 2422
% 0.18/0.57  # Current number of archived formulas  : 0
% 0.18/0.57  # Current number of archived clauses   : 289
% 0.18/0.57  # Clause-clause subsumption calls (NU) : 14314
% 0.18/0.57  # Rec. Clause-clause subsumption calls : 6323
% 0.18/0.57  # Non-unit clause-clause subsumptions  : 41
% 0.18/0.57  # Unit Clause-clause subsumption calls : 167
% 0.18/0.57  # Rewrite failures with RHS unbound    : 0
% 0.18/0.57  # BW rewrite match attempts            : 51
% 0.18/0.57  # BW rewrite match successes           : 15
% 0.18/0.57  # Condensation attempts                : 595
% 0.18/0.57  # Condensation successes               : 0
% 0.18/0.57  # Termbank termtop insertions          : 51511
% 0.18/0.57  # Search garbage collected termcells   : 8237
% 0.18/0.57  
% 0.18/0.57  # -------------------------------------------------
% 0.18/0.57  # User time                : 0.082 s
% 0.18/0.57  # System time              : 0.011 s
% 0.18/0.57  # Total time               : 0.093 s
% 0.18/0.57  # Maximum resident set size: 3580 pages
% 0.18/0.57  
% 0.18/0.57  # -------------------------------------------------
% 0.18/0.57  # User time                : 0.093 s
% 0.18/0.57  # System time              : 0.012 s
% 0.18/0.57  # Total time               : 0.105 s
% 0.18/0.57  # Maximum resident set size: 2136 pages
% 0.18/0.57  % E---3.1 exiting
% 0.18/0.57  % E exiting
%------------------------------------------------------------------------------