TSTP Solution File: SWV242-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV242-2 : 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 : n027.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 10:28:33 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   44 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   40 (  19   ~;  19   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f33,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f23,f32]) ).

fof(f32,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f29,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_Set_OUn__upper1_0) ).

fof(f29,plain,
    ( ~ c_lessequals(v_G_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(resolution,[],[f26,f1]) ).

fof(f1,axiom,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_conjecture_0) ).

fof(f26,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_G,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | spl0_2 ),
    inference(resolution,[],[f24,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_Message_Oanalz__mono_0) ).

fof(f24,plain,
    ( ! [X0] :
        ( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(v_G,X0,tc_set(tc_Message_Omsg)) )
    | spl0_2 ),
    inference(resolution,[],[f15,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( c_lessequals(X2,X5,tc_set(X4))
      | ~ c_lessequals(X2,X3,tc_set(X4))
      | ~ c_lessequals(X3,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_Set_Osubset__trans_0) ).

fof(f15,plain,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl0_2
  <=> c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f23,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f22]) ).

fof(f22,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f20,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_Set_OUn__upper2_0) ).

fof(f20,plain,
    ( ~ c_lessequals(v_H_H,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(resolution,[],[f18,f2]) ).

fof(f2,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_conjecture_1) ).

fof(f18,plain,
    ( ! [X0] :
        ( ~ c_lessequals(v_H,c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(X0,c_union(v_G_H,v_H_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) )
    | spl0_1 ),
    inference(resolution,[],[f17,f4]) ).

fof(f17,plain,
    ( ! [X0] :
        ( ~ c_lessequals(X0,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
        | ~ c_lessequals(v_H,X0,tc_set(tc_Message_Omsg)) )
    | spl0_1 ),
    inference(resolution,[],[f7,f11]) ).

fof(f11,plain,
    ( ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f9]) ).

fof(f9,plain,
    ( spl0_1
  <=> c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f16,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3,f13,f9]) ).

fof(f3,axiom,
    ( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.JsSj1zPQf4/Vampire---4.8_23606',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.13  % Problem    : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n027.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 21:13:38 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.16/0.37  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.JsSj1zPQf4/Vampire---4.8_23606
% 0.56/0.75  % (23795)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.75  % (23795)First to succeed.
% 0.56/0.75  % (23793)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)
% 0.56/0.75  % (23794)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)
% 0.56/0.75  % (23796)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)
% 0.56/0.75  % (23797)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)
% 0.56/0.75  % (23798)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)
% 0.56/0.75  % (23795)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23780"
% 0.56/0.75  % (23795)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (23795)------------------------------
% 0.56/0.75  % (23795)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (23795)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (23795)Memory used [KB]: 984
% 0.56/0.75  % (23795)Time elapsed: 0.003 s
% 0.56/0.75  % (23795)Instructions burned: 3 (million)
% 0.56/0.75  % (23780)Success in time 0.385 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------