TSTP Solution File: ANA039-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA039-1 : 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 : n019.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 04:30:58 EDT 2024

% Result   : Unsatisfiable 0.62s 0.78s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   30 (   9 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   69 (  38   ~;  29   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1836,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1822,f1826,f1834]) ).

fof(f1834,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f1833]) ).

fof(f1833,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f1831,f1450]) ).

fof(f1450,plain,
    class_OrderedGroup_Olordered__ab__group__abs(t_a),
    inference(resolution,[],[f1418,f1093]) ).

fof(f1093,axiom,
    ! [X55] :
      ( ~ class_Ring__and__Field_Oordered__idom(X55)
      | class_OrderedGroup_Olordered__ab__group__abs(X55) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f1418,axiom,
    class_Ring__and__Field_Oordered__idom(t_a),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',tfree_tcs) ).

fof(f1831,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | ~ spl0_2 ),
    inference(resolution,[],[f1828,f1411]) ).

fof(f1411,axiom,
    ! [X3,X0] :
      ( c_lessequals(X3,c_HOL_Oabs(X3,X0),X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_OrderedGroup_Oabs__ge__self_0) ).

fof(f1828,plain,
    ( ~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a)
    | ~ spl0_2 ),
    inference(resolution,[],[f1821,f1415]) ).

fof(f1415,axiom,
    ! [X45] : c_lessequals(c_HOL_Oabs(v_h(X45),t_a),c_times(v_c,c_HOL_Oabs(v_f(X45),t_a),t_a),t_a),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_conjecture_0) ).

fof(f1821,plain,
    ( ! [X0] :
        ( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
        | ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1820]) ).

fof(f1820,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
        | ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1826,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f1825]) ).

fof(f1825,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f1823,f1450]) ).

fof(f1823,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | spl0_1 ),
    inference(resolution,[],[f1818,f1412]) ).

fof(f1412,axiom,
    ! [X3,X0] :
      ( c_lessequals(c_0,c_HOL_Oabs(X3,X0),X0)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f1818,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f1816]) ).

fof(f1816,plain,
    ( spl0_1
  <=> c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1822,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f1814,f1820,f1816]) ).

fof(f1814,plain,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
      | ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
      | ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a) ),
    inference(subsumption_resolution,[],[f1812,f1444]) ).

fof(f1444,plain,
    class_Ring__and__Field_Opordered__semiring(t_a),
    inference(resolution,[],[f1418,f1084]) ).

fof(f1084,axiom,
    ! [X55] :
      ( ~ class_Ring__and__Field_Oordered__idom(X55)
      | class_Ring__and__Field_Opordered__semiring(X55) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',clsrel_Ring__and__Field_Oordered__idom_42) ).

fof(f1812,plain,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(X0,c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
      | ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
      | ~ c_lessequals(X0,c_HOL_Oabs(v_c,t_a),t_a)
      | ~ class_Ring__and__Field_Opordered__semiring(t_a) ),
    inference(resolution,[],[f1715,f1414]) ).

fof(f1414,axiom,
    ! [X3,X39,X0,X1] :
      ( c_lessequals(c_times(X3,X39,X0),c_times(X1,X39,X0),X0)
      | ~ c_lessequals(c_0,X39,X0)
      | ~ c_lessequals(X3,X1,X0)
      | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

fof(f1715,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
      | ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a) ),
    inference(subsumption_resolution,[],[f1714,f1446]) ).

fof(f1446,plain,
    class_Orderings_Oorder(t_a),
    inference(resolution,[],[f1418,f1086]) ).

fof(f1086,axiom,
    ! [X55] :
      ( ~ class_Ring__and__Field_Oordered__idom(X55)
      | class_Orderings_Oorder(X55) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f1714,plain,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),X0,t_a)
      | ~ c_lessequals(X0,c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a)
      | ~ class_Orderings_Oorder(t_a) ),
    inference(resolution,[],[f1417,f1413]) ).

fof(f1413,axiom,
    ! [X28,X0,X9,X24] :
      ( c_lessequals(X9,X24,X0)
      | ~ c_lessequals(X9,X28,X0)
      | ~ c_lessequals(X28,X24,X0)
      | ~ class_Orderings_Oorder(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_Orderings_Oorder__class_Oorder__trans_0) ).

fof(f1417,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
    file('/export/starexec/sandbox/tmp/tmp.99LnkRzOjo/Vampire---4.8_1546',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : ANA039-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.15  % 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
% 0.15/0.36  % Computer : n019.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Fri May  3 15:29:53 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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.99LnkRzOjo/Vampire---4.8_1546
% 0.57/0.76  % (1966)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)
% 0.57/0.76  % (1959)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)
% 0.57/0.76  % (1961)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.57/0.76  % (1960)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)
% 0.57/0.76  % (1963)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)
% 0.57/0.76  % (1962)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)
% 0.57/0.76  % (1964)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)
% 0.57/0.76  % (1965)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)
% 0.57/0.77  % (1966)Refutation not found, incomplete strategy% (1966)------------------------------
% 0.57/0.77  % (1966)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.57/0.77  % (1966)Termination reason: Refutation not found, incomplete strategy
% 0.57/0.77  
% 0.57/0.77  % (1966)Memory used [KB]: 1754
% 0.57/0.77  % (1966)Time elapsed: 0.003 s
% 0.57/0.77  % (1966)Instructions burned: 6 (million)
% 0.57/0.77  % (1966)------------------------------
% 0.57/0.77  % (1966)------------------------------
% 0.62/0.77  % (1962)Refutation not found, incomplete strategy% (1962)------------------------------
% 0.62/0.77  % (1962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.77  % (1962)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.77  
% 0.62/0.77  % (1962)Memory used [KB]: 1753
% 0.62/0.77  % (1962)Time elapsed: 0.005 s
% 0.62/0.77  % (1962)Instructions burned: 5 (million)
% 0.62/0.77  % (1962)------------------------------
% 0.62/0.77  % (1962)------------------------------
% 0.62/0.77  % (1971)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 Vampire---4 for (2996ds/55Mi)
% 0.62/0.77  % (1976)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.62/0.77  % (1964)First to succeed.
% 0.62/0.77  % (1959)Also succeeded, but the first one will report.
% 0.62/0.77  % (1964)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1800"
% 0.62/0.78  % (1964)Refutation found. Thanks to Tanya!
% 0.62/0.78  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.78  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.78  % (1964)------------------------------
% 0.62/0.78  % (1964)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.78  % (1964)Termination reason: Refutation
% 0.62/0.78  
% 0.62/0.78  % (1964)Memory used [KB]: 1905
% 0.62/0.78  % (1964)Time elapsed: 0.011 s
% 0.62/0.78  % (1964)Instructions burned: 16 (million)
% 0.62/0.78  % (1800)Success in time 0.401 s
% 0.62/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------