TSTP Solution File: ITP222_2 by Leo-III-SAT---1.7.10

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : ITP222_2 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% 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 : Tue May  7 10:36:49 EDT 2024

% Result   : Theorem 16.45s 5.21s
% Output   : Refutation 16.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   23 (   8 unt;  15 typ;   0 def)
%            Number of atoms       :    8 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :   24 (   3   ~;   0   |;   0   &;  21   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   1 avg)
%            Number of types       :   12 (  12 usr)
%            Number of type conns  :    2 (   2   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    1 (   0   ^   0   !;   0   ?;   1   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
thf(vEBT_VEBT_type,type,
    vEBT_VEBT: $tType ).

thf(code_integer_type,type,
    code_integer: $tType ).

thf(product_unit_type,type,
    product_unit: $tType ).

thf(extended_enat_type,type,
    extended_enat: $tType ).

thf(complex_type,type,
    complex: $tType ).

thf(char_type,type,
    char: $tType ).

thf(real_type,type,
    real: $tType ).

thf(bool_type,type,
    bool: $tType ).

thf(rat_type,type,
    rat: $tType ).

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

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

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

thf(extend4730790105801354508finity_type,type,
    extend4730790105801354508finity: 
      !>[TA: $tType] : TA ).

thf(vEBT_VEBT_elim_dead_type,type,
    vEBT_VEBT_elim_dead: vEBT_VEBT > extended_enat > vEBT_VEBT ).

thf(summarya_type,type,
    summarya: vEBT_VEBT ).

thf(39,axiom,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
    = summarya ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C2_OIH_C_I2_J) ).

thf(205,plain,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
    = summarya ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(206,plain,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
    = summarya ),
    inference(lifteq,[status(thm)],[205]) ).

thf(1,conjecture,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
    = summarya ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
   != summarya ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(55,plain,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
   != summarya ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(56,plain,
    ( ( vEBT_VEBT_elim_dead @ summarya @ ( extend4730790105801354508finity @ extended_enat ) )
   != summarya ),
    inference(lifteq,[status(thm)],[55]) ).

thf(329,plain,
    $false,
    inference(simplifyReflect,[status(thm)],[206,56]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : ITP222_2 : TPTP v8.1.2. Released v8.0.0.
% 0.14/0.16  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n026.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Mon May  6 22:04:54 EDT 2024
% 0.16/0.37  % CPUTime  : 
% 1.01/0.87  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 4.69/1.99  % [INFO] 	 Parsing done (1119ms). 
% 4.69/2.01  % [INFO] 	 Running in sequential loop mode. 
% 5.31/2.33  % [INFO] 	 nitpick registered as external prover. 
% 5.31/2.34  % [INFO] 	 Scanning for conjecture ... 
% 9.16/3.37  % [INFO] 	 Found a conjecture and 10361 axioms. Running axiom selection ... 
% 10.29/3.82  % [INFO] 	 Axiom selection finished. Selected 52 axioms (removed 10309 axioms). 
% 10.60/3.86  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 10.60/3.87  % [INFO] 	 Type checking passed. 
% 10.60/3.87  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 16.45/5.21  % [INFO] 	 Killing All external provers ... 
% 16.45/5.21  % Time passed: 4678ms (effective reasoning time: 3200ms)
% 16.45/5.21  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 16.45/5.21  % Axioms used in derivation (1): fact_1__C2_OIH_C_I2_J
% 16.45/5.21  % No. of inferences in proof: 8
% 16.45/5.21  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 4678 ms resp. 3200 ms w/o parsing
% 16.45/5.23  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 16.45/5.23  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------