TSTP Solution File: SWW552_5 by Leo-III---1.7.15

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.15
% Problem  : SWW552_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d THM

% Computer : n011.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 Jun 24 18:23:41 EDT 2024

% Result   : Theorem 19.63s 8.80s
% Output   : Refutation 20.01s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    7 (   2 unt;   0 typ;   0 def)
%            Number of atoms       :   32 (   0 equ;   0 cnn)
%            Maximal formula atoms :    6 (   4 avg)
%            Number of connectives :   47 (   2   ~;   0   |;   0   &;  45   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   8 con; 0-3 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(bool_type,type,
    bool: $tType ).

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

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

thf(ty_type,type,
    ty: $tType ).

thf(val_type,type,
    val: $tType ).

thf(hconf_type,type,
    hconf: 
      !>[TA: $tType] : ( ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ TA ) ) ) ) ) ) ) ) > ( fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ) > $o ) ).

thf(p_type,type,
    p: list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ( product_prod @ ( list @ char ) @ ty ) ) @ ( list @ ( product_prod @ ( list @ char ) @ ( product_prod @ ( list @ ty ) @ ( product_prod @ ty @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) ) ) ) ) ) ) ) ).

thf(ha_type,type,
    ha: fun @ nat @ ( option @ ( product_prod @ ( list @ char ) @ ( fun @ ( product_prod @ ( list @ char ) @ ( list @ char ) ) @ ( option @ val ) ) ) ) ).

thf(95,axiom,
    hconf @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) @ p @ ha,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_RedFAss_I3_J) ).

thf(480,plain,
    hconf @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) @ p @ ha,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).

thf(1,conjecture,
    hconf @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) @ p @ ha,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

thf(2,negated_conjecture,
    ~ ( hconf @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) @ p @ ha ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(107,plain,
    ~ ( hconf @ ( product_prod @ ( list @ ( list @ char ) ) @ ( exp @ ( list @ char ) ) ) @ p @ ha ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(519,plain,
    $false,
    inference(rewrite,[status(thm)],[480,107]) ).

thf(520,plain,
    $false,
    inference(simp,[status(thm)],[519]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWW552_5 : TPTP v8.2.0. Released v6.0.0.
% 0.00/0.09  % Command  : run_Leo-III %s %d THM
% 0.09/0.29  % Computer : n011.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Wed Jun 19 08:03:10 EDT 2024
% 0.09/0.29  % CPUTime  : 
% 0.96/0.90  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.81/1.20  % [INFO] 	 Parsing done (298ms). 
% 1.96/1.21  % [INFO] 	 Running in sequential loop mode. 
% 2.75/1.56  % [INFO] 	 eprover registered as external prover. 
% 2.75/1.56  % [INFO] 	 Scanning for conjecture ... 
% 3.13/1.76  % [INFO] 	 Found a conjecture (or negated_conjecture) and 104 axioms. Running axiom selection ... 
% 3.60/1.89  % [INFO] 	 Axiom selection finished. Selected 104 axioms (removed 0 axioms). 
% 4.83/2.22  % [INFO] 	 Problem is typed first-order (TPTP TFF). 
% 4.83/2.25  % [INFO] 	 Type checking passed. 
% 4.83/2.26  % [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 ... 
% 19.63/8.79  % [INFO] 	 Killing All external provers ... 
% 19.63/8.80  % Time passed: 8338ms (effective reasoning time: 7576ms)
% 19.63/8.80  % 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)>
% 19.63/8.80  % Axioms used in derivation (1): fact_0_RedFAss_I3_J
% 19.63/8.80  % No. of inferences in proof: 7
% 19.63/8.80  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 8338 ms resp. 7576 ms w/o parsing
% 20.01/8.81  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 20.01/8.81  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------