TSTP Solution File: ANA039-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA039-2 : 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 : n005.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 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   95 (  49   ~;  41   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   6 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f69,plain,
    $false,
    inference(avatar_sat_refutation,[],[f19,f22,f37,f40,f46,f68]) ).

fof(f68,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f67]) ).

fof(f67,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f66,f3]) ).

fof(f3,axiom,
    class_Ring__and__Field_Oordered__idom(t_a),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',tfree_tcs) ).

fof(f66,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | ~ spl0_5 ),
    inference(resolution,[],[f50,f10]) ).

fof(f10,axiom,
    ! [X8] :
      ( class_OrderedGroup_Olordered__ab__group__abs(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',clsrel_Ring__and__Field_Oordered__idom_50) ).

fof(f50,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | ~ spl0_5 ),
    inference(resolution,[],[f47,f4]) ).

fof(f4,axiom,
    ! [X2,X1] :
      ( c_lessequals(X2,c_HOL_Oabs(X2,X1),X1)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',cls_OrderedGroup_Oabs__ge__self_0) ).

fof(f47,plain,
    ( ~ c_lessequals(v_c,c_HOL_Oabs(v_c,t_a),t_a)
    | ~ spl0_5 ),
    inference(resolution,[],[f36,f1]) ).

fof(f1,axiom,
    ! [X0] : c_lessequals(c_HOL_Oabs(v_h(X0),t_a),c_times(v_c,c_HOL_Oabs(v_f(X0),t_a),t_a),t_a),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',cls_conjecture_0) ).

fof(f36,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_5 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_5
  <=> ! [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_5])]) ).

fof(f46,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f45]) ).

fof(f45,plain,
    ( $false
    | spl0_4 ),
    inference(subsumption_resolution,[],[f44,f3]) ).

fof(f44,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | spl0_4 ),
    inference(resolution,[],[f41,f10]) ).

fof(f41,plain,
    ( ~ class_OrderedGroup_Olordered__ab__group__abs(t_a)
    | spl0_4 ),
    inference(resolution,[],[f33,f5]) ).

fof(f5,axiom,
    ! [X2,X1] :
      ( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
      | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',cls_OrderedGroup_Oabs__ge__zero_0) ).

fof(f33,plain,
    ( ~ c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f31,plain,
    ( spl0_4
  <=> c_lessequals(c_0,c_HOL_Oabs(v_f(v_x),t_a),t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f40,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f39]) ).

fof(f39,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f38,f3]) ).

fof(f38,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | spl0_3 ),
    inference(resolution,[],[f29,f8]) ).

fof(f8,axiom,
    ! [X8] :
      ( class_Ring__and__Field_Opordered__semiring(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',clsrel_Ring__and__Field_Oordered__idom_42) ).

fof(f29,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_a)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f27,plain,
    ( spl0_3
  <=> class_Ring__and__Field_Opordered__semiring(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f37,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_5
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f24,f17,f35,f31,f27]) ).

fof(f17,plain,
    ( spl0_2
  <=> ! [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) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f24,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) )
    | ~ spl0_2 ),
    inference(resolution,[],[f18,f7]) ).

fof(f7,axiom,
    ! [X2,X1,X6,X7] :
      ( c_lessequals(c_times(X2,X7,X1),c_times(X6,X7,X1),X1)
      | ~ c_lessequals(c_0,X7,X1)
      | ~ c_lessequals(X2,X6,X1)
      | ~ class_Ring__and__Field_Opordered__semiring(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

fof(f18,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) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f22,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f21]) ).

fof(f21,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f3]) ).

fof(f20,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_a)
    | spl0_1 ),
    inference(resolution,[],[f15,f9]) ).

fof(f9,axiom,
    ! [X8] :
      ( class_Orderings_Oorder(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f15,plain,
    ( ~ class_Orderings_Oorder(t_a)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl0_1
  <=> class_Orderings_Oorder(t_a) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f19,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f11,f17,f13]) ).

fof(f11,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,[],[f6,f2]) ).

fof(f2,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.nwPxtNzxQU/Vampire---4.8_6478',cls_conjecture_2) ).

fof(f6,axiom,
    ! [X3,X1,X4,X5] :
      ( c_lessequals(X5,X4,X1)
      | ~ c_lessequals(X5,X3,X1)
      | ~ c_lessequals(X3,X4,X1)
      | ~ class_Orderings_Oorder(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.nwPxtNzxQU/Vampire---4.8_6478',cls_Orderings_Oorder__class_Oorder__trans_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : ANA039-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % 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 : n005.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 15:32:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.14/0.37  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.nwPxtNzxQU/Vampire---4.8_6478
% 0.61/0.76  % (6865)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)
% 0.61/0.76  % (6865)Refutation not found, incomplete strategy% (6865)------------------------------
% 0.61/0.76  % (6865)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (6865)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (6865)Memory used [KB]: 950
% 0.61/0.76  % (6865)Time elapsed: 0.001 s
% 0.61/0.76  % (6865)Instructions burned: 2 (million)
% 0.61/0.76  % (6865)------------------------------
% 0.61/0.76  % (6865)------------------------------
% 0.61/0.76  % (6858)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)
% 0.61/0.76  % (6860)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (6863)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)
% 0.61/0.76  % (6862)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)
% 0.61/0.76  % (6859)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)
% 0.61/0.76  % (6861)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)
% 0.61/0.76  % (6864)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)
% 0.61/0.76  % (6863)Refutation not found, incomplete strategy% (6863)------------------------------
% 0.61/0.76  % (6863)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (6863)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (6863)Memory used [KB]: 950
% 0.61/0.76  % (6863)Time elapsed: 0.002 s
% 0.61/0.76  % (6861)Refutation not found, incomplete strategy% (6861)------------------------------
% 0.61/0.76  % (6861)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (6861)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (6861)Memory used [KB]: 950
% 0.61/0.76  % (6861)Time elapsed: 0.002 s
% 0.61/0.76  % (6861)Instructions burned: 2 (million)
% 0.61/0.76  % (6863)Instructions burned: 2 (million)
% 0.61/0.76  % (6861)------------------------------
% 0.61/0.76  % (6861)------------------------------
% 0.61/0.76  % (6863)------------------------------
% 0.61/0.76  % (6863)------------------------------
% 0.61/0.76  % (6860)Also succeeded, but the first one will report.
% 0.61/0.76  % (6858)First to succeed.
% 0.61/0.76  % (6868)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)
% 0.61/0.76  % (6858)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6728"
% 0.61/0.77  % (6858)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (6858)------------------------------
% 0.61/0.77  % (6858)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (6858)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (6858)Memory used [KB]: 993
% 0.61/0.77  % (6858)Time elapsed: 0.004 s
% 0.61/0.77  % (6858)Instructions burned: 4 (million)
% 0.61/0.77  % (6728)Success in time 0.393 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------