TSTP Solution File: SWV251-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV251-2 : 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 : n024.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 10:28:36 EDT 2024

% Result   : Unsatisfiable 0.55s 0.75s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   29 (  15 unt;   0 def)
%            Number of atoms       :   45 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   35 (  19   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,plain,
    $false,
    inference(avatar_sat_refutation,[],[f57,f65,f69]) ).

fof(f69,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f68]) ).

fof(f68,plain,
    ( $false
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f10,f56,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(c_union(X3,X2,X4),X5,tc_set(X4))
      | c_lessequals(X2,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_OUn__subset__iff_1) ).

fof(f56,plain,
    ( ~ c_lessequals(v_H,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(avatar_component_clause,[],[f54]) ).

fof(f54,plain,
    ( spl0_2
  <=> c_lessequals(v_H,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f10,axiom,
    ! [X3,X4] : c_lessequals(X3,X3,tc_set(X4)),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_Osubset__refl_0) ).

fof(f65,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f63]) ).

fof(f63,plain,
    ( $false
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f10,f52,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(c_union(X3,X2,X4),X5,tc_set(X4))
      | c_lessequals(X3,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_OUn__subset__iff_0) ).

fof(f52,plain,
    ( ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_1
  <=> c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f57,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f48,f54,f50]) ).

fof(f48,plain,
    ( ~ c_lessequals(v_H,c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(c_Message_Oanalz(v_G)),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f42,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( c_lessequals(c_union(X3,X2,X4),X5,tc_set(X4))
      | ~ c_lessequals(X3,X5,tc_set(X4))
      | ~ c_lessequals(X2,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_OUn__subset__iff_2) ).

fof(f42,plain,
    ~ c_lessequals(c_union(v_H,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(superposition,[],[f26,f40]) ).

fof(f40,plain,
    ! [X0] : c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_union(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    inference(forward_demodulation,[],[f38,f2]) ).

fof(f2,axiom,
    ! [X2,X3,X4] : c_union(c_minus(X2,X3,tc_set(X4)),X3,X4) = c_union(X2,X3,X4),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_OUn__Diff__cancel2_0) ).

fof(f38,plain,
    ! [X0] : c_union(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = c_union(c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    inference(superposition,[],[f2,f14]) ).

fof(f14,plain,
    ! [X0] : c_minus(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)) = c_minus(X0,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f11,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X6,X4] :
      ( ~ c_in(X6,X2,X4)
      | c_minus(c_insert(X6,X3,X4),X2,tc_set(X4)) = c_minus(X3,X2,tc_set(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_Oinsert__Diff1_0) ).

fof(f11,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_conjecture_0) ).

fof(f26,plain,
    ! [X0] : ~ c_lessequals(c_union(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f22,f4]) ).

fof(f22,plain,
    ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f20,f1]) ).

fof(f1,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/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Message_Oanalz__mono_0) ).

fof(f20,plain,
    ~ c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(unit_resulting_resolution,[],[f12,f13,f8]) ).

fof(f8,axiom,
    ! [X2,X3,X7,X4] :
      ( ~ c_lessequals(X3,X2,tc_set(X4))
      | c_in(X7,X2,X4)
      | ~ c_in(X7,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_Set_OsubsetD_0) ).

fof(f13,axiom,
    ~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_conjecture_2) ).

fof(f12,axiom,
    c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/tmp/tmp.gCAcH7xwsj/Vampire---4.8_19665',cls_conjecture_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SWV251-2 : 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
% 0.16/0.36  % Computer : n024.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 21:03:08 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.16/0.36  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.gCAcH7xwsj/Vampire---4.8_19665
% 0.55/0.74  % (19780)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)
% 0.55/0.75  % (19773)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)
% 0.55/0.75  % (19775)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.55/0.75  % (19774)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)
% 0.55/0.75  % (19777)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)
% 0.55/0.75  % (19776)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)
% 0.55/0.75  % (19778)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)
% 0.55/0.75  % (19779)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)
% 0.55/0.75  % (19778)Refutation not found, incomplete strategy% (19778)------------------------------
% 0.55/0.75  % (19778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (19778)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (19778)Memory used [KB]: 952
% 0.55/0.75  % (19778)Time elapsed: 0.003 s
% 0.55/0.75  % (19778)Instructions burned: 2 (million)
% 0.55/0.75  % (19778)------------------------------
% 0.55/0.75  % (19778)------------------------------
% 0.55/0.75  % (19779)First to succeed.
% 0.55/0.75  % (19775)Also succeeded, but the first one will report.
% 0.55/0.75  % (19779)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19772"
% 0.55/0.75  % (19779)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  % (19779)------------------------------
% 0.55/0.75  % (19779)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (19779)Termination reason: Refutation
% 0.55/0.75  
% 0.55/0.75  % (19779)Memory used [KB]: 1060
% 0.55/0.75  % (19779)Time elapsed: 0.006 s
% 0.55/0.75  % (19779)Instructions burned: 6 (million)
% 0.55/0.75  % (19772)Success in time 0.38 s
% 0.55/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------