TSTP Solution File: ANA009-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 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 : n010.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 : Sun May  5 04:30:45 EDT 2024

% Result   : Unsatisfiable 0.46s 0.69s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (   9 unt;   0 def)
%            Number of atoms       :   46 (   1 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   39 (  18   ~;  18   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   4 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f34,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27,f29,f31,f33]) ).

fof(f33,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f32]) ).

fof(f32,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f18,f9]) ).

fof(f9,plain,
    class_OrderedGroup_Oab__group__add(t_b),
    inference(resolution,[],[f6,f7]) ).

fof(f7,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',tfree_tcs) ).

fof(f6,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Oab__group__add(X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',clsrel_Ring__and__Field_Oordered__idom_4) ).

fof(f18,plain,
    ( ~ class_OrderedGroup_Oab__group__add(t_b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f16]) ).

fof(f16,plain,
    ( spl0_1
  <=> class_OrderedGroup_Oab__group__add(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f31,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f30]) ).

fof(f30,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f26,f3]) ).

fof(f3,axiom,
    ! [X4] : c_lessequals(v_lb(X4),v_f(X4),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',cls_conjecture_0) ).

fof(f26,plain,
    ( ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_3
  <=> c_lessequals(v_lb(v_x),v_f(v_x),t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f29,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f28]) ).

fof(f28,plain,
    ( $false
    | spl0_2 ),
    inference(resolution,[],[f22,f8]) ).

fof(f8,plain,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b),
    inference(resolution,[],[f5,f7]) ).

fof(f5,axiom,
    ! [X5] :
      ( ~ class_Ring__and__Field_Oordered__idom(X5)
      | class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',clsrel_Ring__and__Field_Oordered__idom_37) ).

fof(f22,plain,
    ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f20,plain,
    ( spl0_2
  <=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f12,f24,f20,f16]) ).

fof(f12,plain,
    ( ~ c_lessequals(v_lb(v_x),v_f(v_x),t_b)
    | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
    | ~ class_OrderedGroup_Oab__group__add(t_b) ),
    inference(resolution,[],[f10,f4]) ).

fof(f4,axiom,
    ~ c_lessequals(c_0,c_plus(v_f(v_x),c_uminus(v_lb(v_x),t_b),t_b),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',cls_conjecture_2) ).

fof(f10,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(c_0,c_plus(X2,c_uminus(X0,X1),X1),X1)
      | ~ c_lessequals(X0,X2,X1)
      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
      | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(superposition,[],[f1,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( c_plus(X1,c_uminus(X1,X0),X0) = c_0
      | ~ class_OrderedGroup_Oab__group__add(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',cls_OrderedGroup_Oright__minus_0) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_plus(X1,X3,X0),c_plus(X2,X3,X0),X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.42lnpeJain/Vampire---4.8_30634',cls_OrderedGroup_Oadd__le__cancel__right_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : ANA009-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.10  % 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
% 0.09/0.29  % Computer : n010.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Fri May  3 15:36:53 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.09/0.30  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/tmp/tmp.42lnpeJain/Vampire---4.8_30634
% 0.46/0.69  % (30742)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 Vampire---4 for (2996ds/34Mi)
% 0.46/0.69  % (30744)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.46/0.69  % (30745)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.46/0.69  % (30746)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 Vampire---4 for (2996ds/34Mi)
% 0.46/0.69  % (30743)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 Vampire---4 for (2996ds/51Mi)
% 0.46/0.69  % (30747)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.46/0.69  % (30742)Refutation not found, incomplete strategy% (30742)------------------------------
% 0.46/0.69  % (30742)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30748)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 Vampire---4 for (2996ds/83Mi)
% 0.46/0.69  % (30742)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (30742)Memory used [KB]: 960
% 0.46/0.69  % (30742)Time elapsed: 0.001 s
% 0.46/0.69  % (30742)Instructions burned: 2 (million)
% 0.46/0.69  % (30749)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.46/0.69  % (30742)------------------------------
% 0.46/0.69  % (30742)------------------------------
% 0.46/0.69  % (30745)Refutation not found, incomplete strategy% (30745)------------------------------
% 0.46/0.69  % (30745)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30745)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (30745)Memory used [KB]: 945
% 0.46/0.69  % (30747)Refutation not found, incomplete strategy% (30747)------------------------------
% 0.46/0.69  % (30747)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30745)Time elapsed: 0.002 s
% 0.46/0.69  % (30745)Instructions burned: 2 (million)
% 0.46/0.69  % (30747)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  % (30746)Refutation not found, incomplete strategy% (30746)------------------------------
% 0.46/0.69  % (30746)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30746)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (30746)Memory used [KB]: 952
% 0.46/0.69  % (30746)Time elapsed: 0.002 s
% 0.46/0.69  % (30746)Instructions burned: 2 (million)
% 0.46/0.69  
% 0.46/0.69  % (30747)Memory used [KB]: 945
% 0.46/0.69  % (30747)Time elapsed: 0.002 s
% 0.46/0.69  % (30747)Instructions burned: 2 (million)
% 0.46/0.69  % (30745)------------------------------
% 0.46/0.69  % (30745)------------------------------
% 0.46/0.69  % (30746)------------------------------
% 0.46/0.69  % (30746)------------------------------
% 0.46/0.69  % (30749)Refutation not found, incomplete strategy% (30749)------------------------------
% 0.46/0.69  % (30749)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30749)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.69  
% 0.46/0.69  % (30749)Memory used [KB]: 945
% 0.46/0.69  % (30749)Time elapsed: 0.002 s
% 0.46/0.69  % (30749)Instructions burned: 2 (million)
% 0.46/0.69  % (30747)------------------------------
% 0.46/0.69  % (30747)------------------------------
% 0.46/0.69  % (30749)------------------------------
% 0.46/0.69  % (30749)------------------------------
% 0.46/0.69  % (30743)First to succeed.
% 0.46/0.69  % (30744)Also succeeded, but the first one will report.
% 0.46/0.69  % (30743)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30741"
% 0.46/0.69  % (30743)Refutation found. Thanks to Tanya!
% 0.46/0.69  % SZS status Unsatisfiable for Vampire---4
% 0.46/0.69  % SZS output start Proof for Vampire---4
% See solution above
% 0.46/0.69  % (30743)------------------------------
% 0.46/0.69  % (30743)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.46/0.69  % (30743)Termination reason: Refutation
% 0.46/0.69  
% 0.46/0.69  % (30743)Memory used [KB]: 975
% 0.46/0.69  % (30743)Time elapsed: 0.003 s
% 0.46/0.69  % (30743)Instructions burned: 3 (million)
% 0.46/0.69  % (30741)Success in time 0.386 s
% 0.46/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------