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

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n016.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 : Thu Aug 31 23:08:33 EDT 2023

% Result   : Unsatisfiable 0.22s 0.42s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  11   ~;  11   |;   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   :   12 (;  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,plain,
    $false,
    inference(avatar_sat_refutation,[],[f16,f62,f82]) ).

fof(f82,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f5,f66,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/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_Message_Oanalz__mono_0) ).

fof(f66,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_G_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f1,f15,f7]) ).

fof(f7,axiom,
    ! [X2,X3,X4,X5] :
      ( ~ c_lessequals(X3,X5,tc_set(X4))
      | ~ c_lessequals(X2,X3,tc_set(X4))
      | c_lessequals(X2,X5,tc_set(X4)) ),
    file('/export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',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(f1,axiom,
    c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_conjecture_0) ).

fof(f5,axiom,
    ! [X2,X3,X4] : c_lessequals(X2,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_Set_OUn__upper1_0) ).

fof(f62,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f59]) ).

fof(f59,plain,
    ( $false
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f6,f25,f4]) ).

fof(f25,plain,
    ( ~ c_lessequals(c_Message_Oanalz(v_H_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f11,f2,f7]) ).

fof(f2,axiom,
    c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_conjecture_1) ).

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(f6,axiom,
    ! [X2,X3,X4] : c_lessequals(X3,c_union(X2,X3,X4),tc_set(X4)),
    file('/export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_Set_OUn__upper2_0) ).

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/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448',cls_conjecture_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV242-2 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n016.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Aug 29 09:36:30 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.1mYEpykuBw/Vampire---4.8_17448
% 0.15/0.36  % (17699)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (17706)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.42  % (17703)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.42  % (17708)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.42  % (17704)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42  % (17709)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42  % (17707)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42  % (17708)First to succeed.
% 0.22/0.42  % (17705)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42  % (17703)Also succeeded, but the first one will report.
% 0.22/0.42  % (17706)Also succeeded, but the first one will report.
% 0.22/0.42  % (17708)Refutation found. Thanks to Tanya!
% 0.22/0.42  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.42  % (17708)------------------------------
% 0.22/0.42  % (17708)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.42  % (17708)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.42  % (17708)Termination reason: Refutation
% 0.22/0.42  
% 0.22/0.42  % (17708)Memory used [KB]: 5373
% 0.22/0.42  % (17708)Time elapsed: 0.005 s
% 0.22/0.42  % (17708)------------------------------
% 0.22/0.42  % (17708)------------------------------
% 0.22/0.42  % (17699)Success in time 0.064 s
% 0.22/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------