TSTP Solution File: HWV017-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV017-2 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n014.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 21:40:36 EDT 2024

% Result   : Unsatisfiable 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (  10 unt;   0 def)
%            Number of atoms       :   77 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   71 (  30   ~;  38   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f892,plain,
    $false,
    inference(avatar_sat_refutation,[],[f387,f648,f823,f891]) ).

fof(f891,plain,
    ( ~ spl0_1
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f890]) ).

fof(f890,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f868,f139]) ).

fof(f139,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_6) ).

fof(f868,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
    | ~ spl0_1
    | ~ spl0_14 ),
    inference(superposition,[],[f306,f157]) ).

fof(f157,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl0_1
  <=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f306,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f304]) ).

fof(f304,plain,
    ( spl0_14
  <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f823,plain,
    ( spl0_14
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f820,f435,f304]) ).

fof(f435,plain,
    ( spl0_19
  <=> fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f820,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ spl0_19 ),
    inference(subsumption_resolution,[],[f819,f140]) ).

fof(f140,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    inference(definition_unfolding,[],[f134,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(f134,axiom,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f819,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ spl0_19 ),
    inference(superposition,[],[f60,f437]) ).

fof(f437,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f60,axiom,
    ! [X29] :
      ( ~ p_LES_EQU_(X29,f_SUB_(X29,n1))
      | p_LES_EQU_(X29,n0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).

fof(f648,plain,
    ( spl0_19
    | spl0_14 ),
    inference(avatar_split_clause,[],[f647,f304,f435]) ).

fof(f647,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
    | spl0_14 ),
    inference(forward_demodulation,[],[f622,f167]) ).

fof(f167,plain,
    fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference(unit_resulting_resolution,[],[f138,f6]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(X3))
      | fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

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

fof(f622,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
    | spl0_14 ),
    inference(unit_resulting_resolution,[],[f135,f136,f137,f305,f42]) ).

fof(f42,axiom,
    ! [X10] :
      ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).

fof(f305,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f304]) ).

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

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

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

fof(f387,plain,
    ( spl0_1
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f386,f304,f155]) ).

fof(f386,plain,
    ( fwork_DOTfifo_DOTrtl_DOTfifo__length_ = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f385,f167]) ).

fof(f385,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f384,f136]) ).

fof(f384,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f383,f137]) ).

fof(f383,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ spl0_14 ),
    inference(subsumption_resolution,[],[f372,f135]) ).

fof(f372,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ spl0_14 ),
    inference(resolution,[],[f306,f46]) ).

fof(f46,axiom,
    ! [X10] :
      ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : HWV017-2 : TPTP v8.2.0. Released v2.5.0.
% 0.09/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.34  % Computer : n014.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   : Sun May 19 11:18:38 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.12/0.34  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.79  % (19010)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.62/0.79  % (19011)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.62/0.79  % (19013)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.79  % (19014)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.62/0.79  % (19015)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.62/0.79  % (19016)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.62/0.79  % (19008)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.62/0.79  % (19016)Refutation not found, incomplete strategy% (19016)------------------------------
% 0.62/0.79  % (19016)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.79  % (19016)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (19016)Memory used [KB]: 1157
% 0.62/0.79  % (19016)Time elapsed: 0.003 s
% 0.62/0.79  % (19016)Instructions burned: 3 (million)
% 0.62/0.79  % (19016)------------------------------
% 0.62/0.79  % (19016)------------------------------
% 0.62/0.79  % (19009)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.62/0.79  % (19017)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2995ds/55Mi)
% 0.62/0.80  % (19015)First to succeed.
% 0.62/0.80  % (19013)Instruction limit reached!
% 0.62/0.80  % (19013)------------------------------
% 0.62/0.80  % (19013)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (19013)Termination reason: Unknown
% 0.62/0.80  % (19013)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (19013)Memory used [KB]: 1426
% 0.62/0.80  % (19013)Time elapsed: 0.018 s
% 0.62/0.80  % (19013)Instructions burned: 35 (million)
% 0.62/0.80  % (19013)------------------------------
% 0.62/0.80  % (19013)------------------------------
% 0.62/0.80  % (19015)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19007"
% 0.62/0.80  % (19011)Instruction limit reached!
% 0.62/0.80  % (19011)------------------------------
% 0.62/0.80  % (19011)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (19011)Termination reason: Unknown
% 0.62/0.80  % (19011)Termination phase: Saturation
% 0.62/0.80  
% 0.62/0.80  % (19011)Memory used [KB]: 1235
% 0.62/0.80  % (19011)Time elapsed: 0.019 s
% 0.62/0.80  % (19011)Instructions burned: 34 (million)
% 0.62/0.80  % (19011)------------------------------
% 0.62/0.80  % (19011)------------------------------
% 0.62/0.80  % (19015)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Unsatisfiable for theBenchmark
% 0.62/0.80  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.80  % (19015)------------------------------
% 0.62/0.80  % (19015)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (19015)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (19015)Memory used [KB]: 1271
% 0.62/0.80  % (19015)Time elapsed: 0.018 s
% 0.62/0.80  % (19015)Instructions burned: 29 (million)
% 0.62/0.80  % (19007)Success in time 0.459 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------