TSTP Solution File: HWV021-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : HWV021-2 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n028.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 21:40:39 EDT 2024

% Result   : Unsatisfiable 0.57s 0.77s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   22 (   7 unt;   1 typ;   0 def)
%            Number of atoms       :  126 (   3 equ)
%            Maximal formula atoms :    5 (   6 avg)
%            Number of connectives :   50 (  23   ~;  26   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   78 (  78 fml;   0 var)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    2 (   1   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   4 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   19 (  18   !;   0   ?;  19   :)
%                                         (   1  !>;   0  ?*;   0  @-;   0  @+)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_4,type,
    sQ0_eqProxy: 
      !>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).

tff(f217,plain,
    $false,
    inference(subsumption_resolution,[],[f216,f137]) ).

tff(f137,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

tff(f216,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
    inference(resolution,[],[f212,f177]) ).

tff(f177,plain,
    ! [X0: $i] :
      ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X0),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X0)) ),
    inference(resolution,[],[f168,f155]) ).

tff(f155,plain,
    ! [X4: $i] :
      ( ~ sQ0_eqProxy($i,fwork_DOTfifo_DOTrtl_DOTint__level_(X4),n0)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ),
    inference(equality_proxy_replacement,[],[f7,f138]) ).

tff(f138,plain,
    ! [X0: $tType,X2: X0,X1: X0] :
      ( sQ0_eqProxy(X0,X1,X2)
    <=> ( X1 = X2 ) ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).

tff(f7,axiom,
    ! [X4: $i] :
      ( ( fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0 )
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

tff(f168,plain,
    ! [X0: $i] :
      ( sQ0_eqProxy($i,X0,n0)
      | ~ p_LES_EQU_(X0,n0) ),
    inference(resolution,[],[f147,f59]) ).

tff(f59,axiom,
    ! [X28: $i] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

tff(f147,plain,
    ! [X38: $i,X37: $i] :
      ( p_LES_EQU_(f_ADD_(X37,n1),X38)
      | sQ0_eqProxy($i,X37,X38)
      | ~ p_LES_EQU_(X37,X38) ),
    inference(equality_proxy_replacement,[],[f68,f138]) ).

tff(f68,axiom,
    ! [X38: $i,X37: $i] :
      ( p_LES_EQU_(f_ADD_(X37,n1),X38)
      | ( X37 = X38 )
      | ~ p_LES_EQU_(X37,X38) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).

tff(f212,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(subsumption_resolution,[],[f211,f134]) ).

tff(f134,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

tff(f211,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))) ),
    inference(resolution,[],[f210,f136]) ).

tff(f136,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

tff(f210,plain,
    ! [X10: $i] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    inference(subsumption_resolution,[],[f209,f208]) ).

tff(f208,plain,
    ! [X10: $i] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    inference(subsumption_resolution,[],[f33,f13]) ).

tff(f13,axiom,
    ! [X6: $i] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X6,n1)))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

tff(f33,axiom,
    ! [X10: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

tff(f209,plain,
    ! [X10: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    inference(subsumption_resolution,[],[f45,f13]) ).

tff(f45,axiom,
    ! [X10: $i] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(X10,n1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : HWV021-2 : TPTP v8.2.0. Released v2.5.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 12:21:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.57/0.76  % (17405)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 (2996ds/56Mi)
% 0.57/0.76  % (17400)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.57/0.76  % (17398)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 (2996ds/34Mi)
% 0.57/0.76  % (17399)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 (2996ds/51Mi)
% 0.57/0.76  % (17405)Refutation not found, incomplete strategy% (17405)------------------------------
% 0.57/0.76  % (17405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.76  % (17405)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.76  
% 0.57/0.76  % (17405)Memory used [KB]: 1144
% 0.57/0.76  % (17405)Time elapsed: 0.002 s
% 0.57/0.76  % (17405)Instructions burned: 3 (million)
% 0.57/0.76  % (17405)------------------------------
% 0.57/0.76  % (17405)------------------------------
% 0.57/0.76  % (17403)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.57/0.76  % (17404)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 (2996ds/83Mi)
% 0.57/0.76  % (17398)First to succeed.
% 0.57/0.76  % (17406)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)
% 0.57/0.76  % (17403)Also succeeded, but the first one will report.
% 0.57/0.76  % (17398)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17397"
% 0.57/0.77  % (17398)Refutation found. Thanks to Tanya!
% 0.57/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.57/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.57/0.77  % (17398)------------------------------
% 0.57/0.77  % (17398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (17398)Termination reason: Refutation
% 0.57/0.77  
% 0.57/0.77  % (17398)Memory used [KB]: 1187
% 0.57/0.77  % (17398)Time elapsed: 0.027 s
% 0.57/0.77  % (17398)Instructions burned: 7 (million)
% 0.57/0.77  % (17397)Success in time 0.413 s
% 0.57/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------