TSTP Solution File: HWV015-2 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : HWV015-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% 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 : Wed Aug 31 16:24:51 EDT 2022

% Result   : Unsatisfiable 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   32 (  14 unt;   0 def)
%            Number of atoms       :   76 (   7 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   74 (  30   ~;  39   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f178,plain,
    $false,
    inference(avatar_sat_refutation,[],[f145,f150,f155,f160,f165,f177]) ).

fof(f177,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f175,f154]) ).

fof(f154,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl0_3
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f175,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl0_1
    | spl0_2
    | spl0_4
    | spl0_5 ),
    inference(subsumption_resolution,[],[f174,f159]) ).

fof(f159,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f157,plain,
    ( spl0_4
  <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f174,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl0_1
    | spl0_2
    | spl0_5 ),
    inference(subsumption_resolution,[],[f173,f149]) ).

fof(f149,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f147,plain,
    ( spl0_2
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f173,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl0_1
    | spl0_5 ),
    inference(subsumption_resolution,[],[f171,f144]) ).

fof(f144,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl0_1
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f171,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | spl0_5 ),
    inference(trivial_inequality_removal,[],[f167]) ).

fof(f167,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))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | spl0_5 ),
    inference(superposition,[],[f164,f30]) ).

fof(f30,axiom,
    ! [X10] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f164,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl0_5
  <=> fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f165,plain,
    ~ spl0_5,
    inference(avatar_split_clause,[],[f139,f162]) ).

fof(f139,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
    inference(definition_unfolding,[],[f138,f4,f4]) ).

fof(f4,axiom,
    ! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f138,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

fof(f160,plain,
    ~ spl0_4,
    inference(avatar_split_clause,[],[f140,f157]) ).

fof(f140,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(definition_unfolding,[],[f134,f4]) ).

fof(f134,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f155,plain,
    spl0_3,
    inference(avatar_split_clause,[],[f137,f152]) ).

fof(f137,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f150,plain,
    ~ spl0_2,
    inference(avatar_split_clause,[],[f136,f147]) ).

fof(f136,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f145,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f135,f142]) ).

fof(f135,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : HWV015-2 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:53:25 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.44  % (26608)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.50  % (26633)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.50  % (26610)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.51  % (26633)First to succeed.
% 0.20/0.51  % (26633)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (26633)------------------------------
% 0.20/0.51  % (26633)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (26633)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (26633)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (26633)Memory used [KB]: 6012
% 0.20/0.51  % (26633)Time elapsed: 0.113 s
% 0.20/0.51  % (26633)Instructions burned: 3 (million)
% 0.20/0.51  % (26633)------------------------------
% 0.20/0.51  % (26633)------------------------------
% 0.20/0.51  % (26607)Success in time 0.162 s
%------------------------------------------------------------------------------