TSTP Solution File: ANA010-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA010-2 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Sun May  5 04:30:45 EDT 2024

% Result   : Unsatisfiable 0.54s 0.76s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (  10 unt;   0 def)
%            Number of atoms       :   82 (   2 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   84 (  42   ~;  36   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-3 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f37,f54,f56,f66,f68,f90]) ).

fof(f90,plain,
    ( ~ spl0_4
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f88]) ).

fof(f88,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(resolution,[],[f86,f38]) ).

fof(f38,plain,
    ( ! [X0] : c_lessequals(c_0,c_times(v_c,v_g(X0),t_b),t_b)
    | ~ spl0_4 ),
    inference(resolution,[],[f30,f5]) ).

fof(f5,axiom,
    ! [X6] : c_lessequals(v_f(X6),c_times(v_c,v_g(X6),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_conjecture_1) ).

fof(f30,plain,
    ( ! [X0,X1] :
        ( ~ c_lessequals(v_f(X1),X0,t_b)
        | c_lessequals(c_0,X0,t_b) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f29]) ).

fof(f29,plain,
    ( spl0_4
  <=> ! [X0,X1] :
        ( c_lessequals(c_0,X0,t_b)
        | ~ c_lessequals(v_f(X1),X0,t_b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f86,plain,
    ( ~ c_lessequals(c_0,c_times(v_c,v_g(v_x(c_HOL_Oabs(v_c,t_b))),t_b),t_b)
    | ~ spl0_10 ),
    inference(resolution,[],[f65,f5]) ).

fof(f65,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b)
        | ~ c_lessequals(c_0,c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_10
  <=> ! [X0] :
        ( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b)
        | ~ c_lessequals(c_0,c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f68,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | spl0_1 ),
    inference(resolution,[],[f16,f10]) ).

fof(f10,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_b),
    inference(resolution,[],[f8,f9]) ).

fof(f9,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',tfree_tcs) ).

fof(f8,axiom,
    ! [X7] :
      ( ~ class_Ring__and__Field_Oordered__idom(X7)
      | class_OrderedGroup_Olordered__ab__group__abs(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f16,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f14]) ).

fof(f14,plain,
    ( spl0_1
  <=> class_OrderedGroup_Olordered__ab__group__abs(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f66,plain,
    ( ~ spl0_1
    | spl0_10
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f58,f52,f64,f14]) ).

fof(f52,plain,
    ( spl0_8
  <=> ! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f58,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b)
        | ~ c_lessequals(c_0,c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b)
        | ~ class_OrderedGroup_Olordered__ab__group__abs(t_b) )
    | ~ spl0_8 ),
    inference(superposition,[],[f53,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( c_HOL_Oabs(X1,X0) = X1
      | ~ c_lessequals(c_0,X1,X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_OrderedGroup_Oabs__of__nonneg_0) ).

fof(f53,plain,
    ( ! [X0] : ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f56,plain,
    spl0_7,
    inference(avatar_contradiction_clause,[],[f55]) ).

fof(f55,plain,
    ( $false
    | spl0_7 ),
    inference(resolution,[],[f50,f9]) ).

fof(f50,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f48,plain,
    ( spl0_7
  <=> class_Ring__and__Field_Oordered__idom(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f54,plain,
    ( ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f46,f52,f48]) ).

fof(f46,plain,
    ! [X0] :
      ( ~ c_lessequals(v_f(v_x(c_HOL_Oabs(X0,t_b))),c_HOL_Oabs(c_times(X0,v_g(v_x(c_HOL_Oabs(X0,t_b))),t_b),t_b),t_b)
      | ~ class_Ring__and__Field_Oordered__idom(t_b) ),
    inference(superposition,[],[f6,f3]) ).

fof(f3,axiom,
    ! [X0,X4,X5] :
      ( c_HOL_Oabs(c_times(X4,X5,X0),X0) = c_times(c_HOL_Oabs(X4,X0),c_HOL_Oabs(X5,X0),X0)
      | ~ class_Ring__and__Field_Oordered__idom(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_Ring__and__Field_Oabs__mult_0) ).

fof(f6,axiom,
    ! [X6] : ~ c_lessequals(v_f(v_x(X6)),c_times(X6,c_HOL_Oabs(v_g(v_x(X6)),t_b),t_b),t_b),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_conjecture_2) ).

fof(f37,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f36]) ).

fof(f36,plain,
    ( $false
    | spl0_3 ),
    inference(resolution,[],[f27,f11]) ).

fof(f11,plain,
    class_Orderings_Oorder(t_b),
    inference(resolution,[],[f7,f10]) ).

fof(f7,axiom,
    ! [X7] :
      ( ~ class_OrderedGroup_Olordered__ab__group__abs(X7)
      | class_Orderings_Oorder(X7) ),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',clsrel_OrderedGroup_Olordered__ab__group__abs_17) ).

fof(f27,plain,
    ( ~ class_Orderings_Oorder(t_b)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_3
  <=> class_Orderings_Oorder(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f31,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f22,f29,f25]) ).

fof(f22,plain,
    ! [X0,X1] :
      ( c_lessequals(c_0,X0,t_b)
      | ~ c_lessequals(v_f(X1),X0,t_b)
      | ~ class_Orderings_Oorder(t_b) ),
    inference(resolution,[],[f2,f4]) ).

fof(f4,axiom,
    ! [X6] : c_lessequals(c_0,v_f(X6),t_b),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_conjecture_0) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_lessequals(X3,X1,X0)
      | c_lessequals(X3,X2,X0)
      | ~ c_lessequals(X1,X2,X0)
      | ~ class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497',cls_Orderings_Oorder__class_Oorder__trans_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13  % Problem    : ANA010-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.15  % 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
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Fri May  3 15:29:23 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.14/0.36  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/tmp/tmp.Ex37sD5OLl/Vampire---4.8_8497
% 0.54/0.75  % (8605)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)
% 0.54/0.75  % (8608)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)
% 0.54/0.75  % (8606)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)
% 0.54/0.75  % (8607)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (8610)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)
% 0.54/0.75  % (8609)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)
% 0.54/0.75  % (8611)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)
% 0.54/0.75  % (8612)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)
% 0.54/0.75  % (8605)Refutation not found, incomplete strategy% (8605)------------------------------
% 0.54/0.75  % (8605)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8605)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8605)Memory used [KB]: 964
% 0.54/0.75  % (8605)Time elapsed: 0.002 s
% 0.54/0.75  % (8605)Instructions burned: 2 (million)
% 0.54/0.75  % (8612)Refutation not found, incomplete strategy% (8612)------------------------------
% 0.54/0.75  % (8612)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8608)Refutation not found, incomplete strategy% (8608)------------------------------
% 0.54/0.75  % (8608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8608)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8608)Memory used [KB]: 953
% 0.54/0.75  % (8608)Time elapsed: 0.002 s
% 0.54/0.75  % (8608)Instructions burned: 2 (million)
% 0.54/0.75  % (8612)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8612)Memory used [KB]: 951
% 0.54/0.75  % (8612)Time elapsed: 0.002 s
% 0.54/0.75  % (8612)Instructions burned: 2 (million)
% 0.54/0.75  % (8605)------------------------------
% 0.54/0.75  % (8605)------------------------------
% 0.54/0.75  % (8608)------------------------------
% 0.54/0.75  % (8608)------------------------------
% 0.54/0.75  % (8612)------------------------------
% 0.54/0.75  % (8612)------------------------------
% 0.54/0.75  % (8610)Refutation not found, incomplete strategy% (8610)------------------------------
% 0.54/0.75  % (8610)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.75  % (8610)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (8610)Memory used [KB]: 969
% 0.54/0.75  % (8610)Time elapsed: 0.003 s
% 0.54/0.75  % (8610)Instructions burned: 3 (million)
% 0.54/0.75  % (8610)------------------------------
% 0.54/0.75  % (8610)------------------------------
% 0.54/0.75  % (8606)First to succeed.
% 0.54/0.75  % (8607)Also succeeded, but the first one will report.
% 0.54/0.76  % (8606)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8604"
% 0.54/0.76  % (8611)Also succeeded, but the first one will report.
% 0.54/0.76  % (8606)Refutation found. Thanks to Tanya!
% 0.54/0.76  % SZS status Unsatisfiable for Vampire---4
% 0.54/0.76  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.76  % (8606)------------------------------
% 0.54/0.76  % (8606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.54/0.76  % (8606)Termination reason: Refutation
% 0.54/0.76  
% 0.54/0.76  % (8606)Memory used [KB]: 1072
% 0.54/0.76  % (8606)Time elapsed: 0.004 s
% 0.54/0.76  % (8606)Instructions burned: 5 (million)
% 0.54/0.76  % (8604)Success in time 0.391 s
% 0.54/0.76  % Vampire---4.8 exiting
%------------------------------------------------------------------------------