TSTP Solution File: HWV027-2 by Leo-III-SAT---1.7.12

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%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : HWV027-2 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% 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 May 20 21:39:41 EDT 2024

% Result   : Unsatisfiable 107.24s 19.13s
% Output   : Refutation 107.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   35 (  17 unt;   9 typ;   0 def)
%            Number of atoms       :   52 (  15 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  160 (  16   ~;  26   |;   0   &; 118   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   0   ^   9   !;   0   ?;   9   :)

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

thf(fwork_DOTfifo_DOTrtl_DOTwr__type,type,
    fwork_DOTfifo_DOTrtl_DOTwr_: $i > $i ).

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

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

thf(fwork_DOTfifo_DOTrtl_DOTrd__type,type,
    fwork_DOTfifo_DOTrtl_DOTrd_: $i > $i ).

thf(fwork_DOTfifo_DOTrtl_DOTlevel__type,type,
    fwork_DOTfifo_DOTrtl_DOTlevel_: $i > $i ).

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

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

thf(fwork_DOTfifo_DOTrtl_DOTint__level__type,type,
    fwork_DOTfifo_DOTrtl_DOTint__level_: $i > $i ).

thf(59,axiom,
    ! [A: $i] :
      ( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
        = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

thf(275,plain,
    ! [A: $i] :
      ( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
        = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(276,plain,
    ! [A: $i] :
      ( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
        = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(cnf,[status(esa)],[275]) ).

thf(277,plain,
    ! [A: $i] :
      ( ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ ( f_ADD_ @ A @ n1 ) )
        = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(lifteq,[status(thm)],[276]) ).

thf(110,axiom,
    ! [A: $i] :
      ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
      = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(400,plain,
    ! [A: $i] :
      ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
      = ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).

thf(401,plain,
    ! [A: $i] :
      ( ( fwork_DOTfifo_DOTrtl_DOTint__level_ @ A )
      = ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A ) ),
    inference(lifteq,[status(thm)],[400]) ).

thf(33285,plain,
    ! [A: $i] :
      ( ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ A @ n1 ) )
        = ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) ) ),
    inference(rewrite,[status(thm)],[277,401]) ).

thf(4,negated_conjecture,
    ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
   != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

thf(141,plain,
    ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
   != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(145,plain,
    ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
   != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ),
    inference(polarity_switch,[status(thm)],[141]) ).

thf(146,plain,
    ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) )
   != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) ),
    inference(lifteq,[status(thm)],[145]) ).

thf(33360,plain,
    ! [A: $i] :
      ( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ A ) )
      | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ A ) )
      | ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ A )
       != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) )
      | ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ A @ n1 ) )
       != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ ( f_ADD_ @ t_206 @ n1 ) ) ) ),
    inference(paramod_ordered,[status(thm)],[33285,146]) ).

thf(33361,plain,
    ( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) )
    | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) )
    | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) )
    | ( ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 )
     != ( fwork_DOTfifo_DOTrtl_DOTlevel_ @ t_206 ) ) ),
    inference(pattern_uni,[status(thm)],[33360:[bind(A,$thf( t_206 ))]]) ).

thf(33410,plain,
    ( ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) )
    | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) )
    | ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ) ),
    inference(simp,[status(thm)],[33361]) ).

thf(3,negated_conjecture,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

thf(140,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(144,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTrd_ @ t_206 ) ),
    inference(polarity_switch,[status(thm)],[140]) ).

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

thf(138,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(142,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTwr_ @ t_206 ) ),
    inference(polarity_switch,[status(thm)],[138]) ).

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

thf(139,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(143,plain,
    ~ ( p__pred_ @ ( fwork_DOTfifo_DOTrtl_DOTreset_ @ t_206 ) ),
    inference(polarity_switch,[status(thm)],[139]) ).

thf(48521,plain,
    ( $false
    | $false
    | $false ),
    inference(rewrite,[status(thm)],[33410,144,142,143]) ).

thf(48522,plain,
    $false,
    inference(simp,[status(thm)],[48521]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : HWV027-2 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n011.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 : Sun May 19 11:04:24 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.87/0.78  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.39/0.96  % [INFO] 	 Parsing done (175ms). 
% 1.39/0.97  % [INFO] 	 Running in sequential loop mode. 
% 1.69/1.16  % [INFO] 	 nitpick registered as external prover. 
% 1.69/1.16  % [INFO] 	 Scanning for conjecture ... 
% 2.05/1.24  % [INFO] 	 Found a conjecture (or negated_conjecture) and 133 axioms. Running axiom selection ... 
% 2.05/1.31  % [INFO] 	 Axiom selection finished. Selected 133 axioms (removed 0 axioms). 
% 2.64/1.39  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.64/1.40  % [INFO] 	 Type checking passed. 
% 2.64/1.40  % [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 ... 
% 107.24/19.12  % [INFO] 	 Killing All external provers ... 
% 107.24/19.12  % Time passed: 18669ms (effective reasoning time: 18152ms)
% 107.24/19.12  % Axioms used in derivation (2): axiom_51, axiom_5
% 107.24/19.12  % No. of inferences in proof: 26
% 107.24/19.13  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 18669 ms resp. 18152 ms w/o parsing
% 107.24/19.14  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 107.24/19.14  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------