TSTP Solution File: HWV009-3 by Leo-III-SAT---1.7.10

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.10
% Problem  : HWV009-3 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n021.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 10:34:49 EDT 2024

% Result   : Unsatisfiable 153.66s 27.98s
% Output   : Refutation 153.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   17 (   7 unt;   6 typ;   0 def)
%            Number of atoms       :   17 (   1 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   56 (  10   ~;   4   |;   0   &;  42   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^   4   !;   0   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p__pred__type,type,
    p__pred_: $i > $o ).

thf(fwork_DOTfifo_DOTrtl_DOTreset__type,type,
    fwork_DOTfifo_DOTrtl_DOTreset_: $i > $i ).

thf(t_206_type,type,
    t_206: $i ).

thf(fwork_DOTfifo_DOTrtl_DOTwr__error__type,type,
    fwork_DOTfifo_DOTrtl_DOTwr__error_: $i > $i ).

thf(f_ADD__type,type,
    f_ADD_: $i > $i > $i ).

thf(n1_type,type,
    n1: $i ).

thf(2,negated_conjecture,
    p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ t_206 @ n1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

thf(137,plain,
    p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ t_206 @ n1 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(83,axiom,
    ! [A: $i] :
      ( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
      | ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

thf(331,plain,
    ! [A: $i] :
      ( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
      | ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(332,plain,
    ! [A: $i] :
      ( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) )
      | ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(cnf,[status(esa)],[331]) ).

thf(79941,plain,
    ! [A: $i] :
      ( ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) )
      | ( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ t_206 @ n1 ) ) )
       != ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr__error_ @ ( f_ADD_ @ A @ n1 ) ) ) ) ),
    inference(paramod_ordered,[status(thm)],[137,332]) ).

thf(79942,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
    inference(pattern_uni,[status(thm)],[79941:[bind(A,$thf( t_206 ))]]) ).

thf(1,negated_conjecture,
    p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

thf(136,plain,
    p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(80223,plain,
    ~ $true,
    inference(rewrite,[status(thm)],[79942,136]) ).

thf(80224,plain,
    $false,
    inference(simp,[status(thm)],[80223]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : HWV009-3 : TPTP v8.1.2. Released v2.5.0.
% 0.06/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n021.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 : Tue May  7 01:02:24 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 1.06/0.90  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.60/1.08  % [INFO] 	 Parsing done (174ms). 
% 1.60/1.09  % [INFO] 	 Running in sequential loop mode. 
% 1.92/1.29  % [INFO] 	 nitpick registered as external prover. 
% 1.92/1.29  % [INFO] 	 Scanning for conjecture ... 
% 2.13/1.37  % [INFO] 	 Found a conjecture and 133 axioms. Running axiom selection ... 
% 2.26/1.44  % [INFO] 	 Axiom selection finished. Selected 133 axioms (removed 0 axioms). 
% 2.80/1.53  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.80/1.54  % [INFO] 	 Type checking passed. 
% 2.80/1.54  % [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 ... 
% 153.66/27.97  % [INFO] 	 Killing All external provers ... 
% 153.66/27.98  % Time passed: 27439ms (effective reasoning time: 26886ms)
% 153.66/27.98  % 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)>
% 153.66/27.98  % Axioms used in derivation (1): axiom_13
% 153.66/27.98  % No. of inferences in proof: 11
% 153.66/27.98  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 27439 ms resp. 26886 ms w/o parsing
% 153.66/27.99  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 153.66/27.99  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------