TSTP Solution File: SWV261-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV261-2 : 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 : n006.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 04:03:06 EDT 2024

% Result   : Unsatisfiable 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (   9 unt;   0 def)
%            Number of atoms       :   39 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   34 (  34   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f63,plain,
    $false,
    inference(subsumption_resolution,[],[f61,f1]) ).

fof(f1,axiom,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_conjecture_0) ).

fof(f61,plain,
    ~ c_in(v_X,v_G,tc_Message_Omsg),
    inference(backward_demodulation,[],[f34,f59]) ).

fof(f59,plain,
    v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f58,f3]) ).

fof(f3,axiom,
    ! [X0,X1] : c_lessequals(c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)),c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Message_Oparts__Un__subset2_0) ).

fof(f58,plain,
    ( v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | ~ c_lessequals(c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f21,f35]) ).

fof(f35,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg),
    inference(resolution,[],[f28,f5]) ).

fof(f5,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_OUnCI_0) ).

fof(f28,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(resolution,[],[f20,f3]) ).

fof(f20,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))
      | ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_Message_Omsg),X0,tc_Message_Omsg) ),
    inference(resolution,[],[f16,f9]) ).

fof(f9,axiom,
    ! [X3,X4,X5] :
      ( c_lessequals(X5,X3,tc_set(X4))
      | ~ c_in(c_Main_OsubsetI__1(X5,X3,X4),X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_OsubsetI_1) ).

fof(f16,plain,
    ! [X0] :
      ( ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f15,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Message_Oparts__mono_0) ).

fof(f15,plain,
    ! [X0] :
      ( ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),X0,tc_set(tc_Message_Omsg))
      | ~ c_lessequals(X0,c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f10,f2]) ).

fof(f2,axiom,
    ~ c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_conjecture_1) ).

fof(f10,axiom,
    ! [X3,X8,X4,X5] :
      ( c_lessequals(X5,X8,tc_set(X4))
      | ~ c_lessequals(X5,X3,tc_set(X4))
      | ~ c_lessequals(X3,X8,tc_set(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_Osubset__trans_0) ).

fof(f21,plain,
    ! [X0] :
      ( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_Message_Omsg),v_H,tc_Message_Omsg)
      | v_X = c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),X0,tc_Message_Omsg)
      | ~ c_lessequals(c_Message_Oparts(X0),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f14,f16]) ).

fof(f14,plain,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
      | c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
      | c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2) ),
    inference(resolution,[],[f7,f8]) ).

fof(f8,axiom,
    ! [X3,X4,X5] :
      ( c_in(c_Main_OsubsetI__1(X5,X3,X4),X5,X4)
      | c_lessequals(X5,X3,tc_set(X4)) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_OsubsetI_0) ).

fof(f7,axiom,
    ! [X6,X7,X4,X5] :
      ( ~ c_in(X6,c_insert(X7,X5,X4),X4)
      | c_in(X6,X5,X4)
      | X6 = X7 ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_OinsertE_0) ).

fof(f34,plain,
    ~ c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),v_G,tc_Message_Omsg),
    inference(resolution,[],[f28,f6]) ).

fof(f6,axiom,
    ! [X2,X3,X4,X5] :
      ( c_in(X2,c_union(X5,X3,X4),X4)
      | ~ c_in(X2,X5,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.dZqIbW66AS/Vampire---4.8_17162',cls_Set_OUnCI_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWV261-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.11  % 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
% 0.11/0.31  % Computer : n006.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Tue Apr 30 18:26:50 EDT 2024
% 0.11/0.31  % CPUTime    : 
% 0.11/0.31  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.31  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.dZqIbW66AS/Vampire---4.8_17162
% 0.59/0.80  % (17279)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.80  % (17276)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 (2995ds/34Mi)
% 0.59/0.80  % (17278)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.80  % (17277)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 (2995ds/51Mi)
% 0.59/0.80  % (17280)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 (2995ds/34Mi)
% 0.59/0.80  % (17281)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.80  % (17282)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 (2995ds/83Mi)
% 0.59/0.80  % (17283)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 (2995ds/56Mi)
% 0.59/0.80  % (17278)First to succeed.
% 0.59/0.81  % (17278)Refutation found. Thanks to Tanya!
% 0.59/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.59/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.81  % (17278)------------------------------
% 0.59/0.81  % (17278)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.81  % (17278)Termination reason: Refutation
% 0.59/0.81  
% 0.59/0.81  % (17278)Memory used [KB]: 1060
% 0.59/0.81  % (17278)Time elapsed: 0.007 s
% 0.59/0.81  % (17278)Instructions burned: 10 (million)
% 0.59/0.81  % (17278)------------------------------
% 0.59/0.81  % (17278)------------------------------
% 0.59/0.81  % (17271)Success in time 0.49 s
% 0.59/0.81  % Vampire---4.8 exiting
%------------------------------------------------------------------------------