TSTP Solution File: ANA038-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : ANA038-2 : 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 : n023.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 : Wed May  1 02:07:26 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   29 (   7 unt;   0 def)
%            Number of atoms       :   63 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   75 (  41   ~;  32   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   5 con; 0-3 aty)
%            Number of variables   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(avatar_sat_refutation,[],[f24,f27,f36]) ).

fof(f36,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f35]) ).

fof(f35,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f34,f4]) ).

fof(f4,axiom,
    class_Ring__and__Field_Oordered__idom(t_b),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',tfree_tcs) ).

fof(f34,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | ~ spl0_2 ),
    inference(resolution,[],[f31,f8]) ).

fof(f8,axiom,
    ! [X8] :
      ( class_Orderings_Olinorder(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',clsrel_Ring__and__Field_Oordered__idom_33) ).

fof(f31,plain,
    ( ~ class_Orderings_Olinorder(t_b)
    | ~ spl0_2 ),
    inference(resolution,[],[f28,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( c_lessequals(X1,c_Orderings_Omax(X2,X1,X0),X0)
      | ~ class_Orderings_Olinorder(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_Orderings_Ole__maxI2_0) ).

fof(f28,plain,
    ( ~ c_lessequals(v_ca,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
    | ~ spl0_2 ),
    inference(resolution,[],[f23,f2]) ).

fof(f2,axiom,
    c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(v_ca,v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_conjecture_5) ).

fof(f23,plain,
    ( ! [X0] :
        ( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
        | ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b) )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_2
  <=> ! [X0] :
        ( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
        | ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f27,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f26]) ).

fof(f26,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f25,f4]) ).

fof(f25,plain,
    ( ~ class_Ring__and__Field_Oordered__idom(t_b)
    | spl0_1 ),
    inference(resolution,[],[f20,f9]) ).

fof(f9,axiom,
    ! [X8] :
      ( class_Ring__and__Field_Opordered__semiring(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',clsrel_Ring__and__Field_Oordered__idom_42) ).

fof(f20,plain,
    ( ~ class_Ring__and__Field_Opordered__semiring(t_b)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> class_Ring__and__Field_Opordered__semiring(t_b) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f24,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
      | ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
      | ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
    inference(subsumption_resolution,[],[f15,f1]) ).

fof(f1,axiom,
    c_lessequals(c_0,v_g(v_xa),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_conjecture_3) ).

fof(f15,plain,
    ! [X0] :
      ( ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(X0,v_g(v_xa),t_b),t_b)
      | ~ c_lessequals(c_0,v_g(v_xa),t_b)
      | ~ c_lessequals(X0,c_Orderings_Omax(v_c,v_ca,t_b),t_b)
      | ~ class_Ring__and__Field_Opordered__semiring(t_b) ),
    inference(resolution,[],[f13,f7]) ).

fof(f7,axiom,
    ! [X3,X6,X7,X5] :
      ( c_lessequals(c_times(X5,X7,X3),c_times(X6,X7,X3),X3)
      | ~ c_lessequals(c_0,X7,X3)
      | ~ c_lessequals(X5,X6,X3)
      | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).

fof(f13,plain,
    ! [X0] :
      ( ~ c_lessequals(X0,c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b)
      | ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),X0,t_b) ),
    inference(resolution,[],[f12,f3]) ).

fof(f3,axiom,
    ~ c_lessequals(c_HOL_Oabs(v_b(v_xa),t_b),c_times(c_Orderings_Omax(v_c,v_ca,t_b),v_g(v_xa),t_b),t_b),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_conjecture_8) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( c_lessequals(X2,X1,t_b)
      | ~ c_lessequals(X0,X1,t_b)
      | ~ c_lessequals(X2,X0,t_b) ),
    inference(resolution,[],[f11,f4]) ).

fof(f11,plain,
    ! [X2,X3,X0,X1] :
      ( ~ class_Ring__and__Field_Oordered__idom(X2)
      | ~ c_lessequals(X1,X3,X2)
      | c_lessequals(X0,X3,X2)
      | ~ c_lessequals(X0,X1,X2) ),
    inference(resolution,[],[f6,f10]) ).

fof(f10,axiom,
    ! [X8] :
      ( class_Orderings_Oorder(X8)
      | ~ class_Ring__and__Field_Oordered__idom(X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',clsrel_Ring__and__Field_Oordered__idom_44) ).

fof(f6,axiom,
    ! [X2,X3,X1,X4] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_lessequals(X2,X1,X3)
      | ~ c_lessequals(X1,X4,X3)
      | c_lessequals(X2,X4,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465',cls_Orderings_Oorder__class_Oorder__trans_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : ANA038-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % 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
% 0.15/0.36  % Computer : n023.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   : Tue Apr 30 17:15:55 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  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/tmp/tmp.hjIL2jajRX/Vampire---4.8_27465
% 0.55/0.74  % (27866)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)
% 0.55/0.74  % (27866)Refutation not found, incomplete strategy% (27866)------------------------------
% 0.55/0.74  % (27866)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (27866)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (27866)Memory used [KB]: 950
% 0.55/0.74  % (27866)Time elapsed: 0.001 s
% 0.55/0.74  % (27866)Instructions burned: 2 (million)
% 0.55/0.74  % (27866)------------------------------
% 0.55/0.74  % (27866)------------------------------
% 0.55/0.74  % (27859)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)
% 0.55/0.74  % (27862)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)
% 0.55/0.74  % (27863)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)
% 0.55/0.74  % (27860)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)
% 0.55/0.74  % (27864)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)
% 0.55/0.74  % (27861)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.74  % (27865)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)
% 0.55/0.74  % (27862)Refutation not found, incomplete strategy% (27862)------------------------------
% 0.55/0.74  % (27862)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (27862)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (27864)Refutation not found, incomplete strategy% (27864)------------------------------
% 0.55/0.74  % (27864)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.74  % (27864)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (27864)Memory used [KB]: 950
% 0.55/0.74  % (27864)Time elapsed: 0.002 s
% 0.55/0.74  % (27864)Instructions burned: 2 (million)
% 0.55/0.74  % (27864)------------------------------
% 0.55/0.74  % (27864)------------------------------
% 0.55/0.74  % (27862)Memory used [KB]: 950
% 0.55/0.74  % (27862)Time elapsed: 0.002 s
% 0.55/0.74  % (27862)Instructions burned: 2 (million)
% 0.55/0.74  % (27862)------------------------------
% 0.55/0.74  % (27862)------------------------------
% 0.55/0.75  % (27861)First to succeed.
% 0.55/0.75  % (27867)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)
% 0.55/0.75  % (27859)Also succeeded, but the first one will report.
% 0.55/0.75  % (27861)Refutation found. Thanks to Tanya!
% 0.55/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.55/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.55/0.75  % (27861)------------------------------
% 0.55/0.75  % (27861)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.55/0.75  % (27861)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (27861)Memory used [KB]: 989
% 0.55/0.75  % (27861)Time elapsed: 0.004 s
% 0.55/0.75  % (27861)Instructions burned: 3 (million)
% 0.55/0.75  % (27861)------------------------------
% 0.55/0.75  % (27861)------------------------------
% 0.55/0.75  % (27750)Success in time 0.38 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------