TSTP Solution File: LAT005-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : n031.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 06:29:06 EDT 2023

% Result   : Unsatisfiable 0.21s 0.62s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   36 (  31 unt;   0 def)
%            Number of atoms       :   48 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   27 (  15   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;  11 con; 0-0 aty)
%            Number of variables   :   29 (;  29   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4920,plain,
    $false,
    inference(subsumption_resolution,[],[f4915,f4641]) ).

fof(f4641,plain,
    ~ meet(c2,a2,e),
    inference(unit_resulting_resolution,[],[f1023,f656,f1643,f15]) ).

fof(f15,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ meet(X0,X1,X3)
      | ~ meet(X0,X4,X5)
      | ~ meet(X1,X2,X4)
      | meet(X3,X2,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',associativity_of_meet1) ).

fof(f1643,plain,
    meet(d,e,n0),
    inference(unit_resulting_resolution,[],[f136,f6,f447,f16]) ).

fof(f16,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ meet(X0,X1,X3)
      | ~ meet(X3,X2,X5)
      | ~ meet(X1,X2,X4)
      | meet(X0,X4,X5) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',associativity_of_meet2) ).

fof(f447,plain,
    meet(d,b,n0),
    inference(unit_resulting_resolution,[],[f22,f29,f116,f15]) ).

fof(f116,plain,
    meet(r2,c,n0),
    inference(unit_resulting_resolution,[],[f4,f3,f6,f24,f20]) ).

fof(f20,axiom,
    ! [X2,X0,X1,X8,X6,X7] :
      ( ~ join(X0,X1,X6)
      | ~ join(X0,X7,X8)
      | ~ meet(X0,X2,X0)
      | ~ meet(X1,X2,X7)
      | meet(X2,X6,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',modularity2) ).

fof(f24,axiom,
    meet(c,r2,n0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_c_and_r2) ).

fof(f3,axiom,
    ! [X0] : join(X0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_x_and_x) ).

fof(f4,axiom,
    ! [X0] : join(n0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_0_and_x) ).

fof(f29,axiom,
    meet(r2,a,d),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_r2_and_a) ).

fof(f22,axiom,
    meet(a,b,c),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_a_and_b) ).

fof(f6,axiom,
    ! [X0] : meet(n0,X0,n0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_0_and_x) ).

fof(f136,plain,
    meet(b,r2,e),
    inference(unit_resulting_resolution,[],[f4,f4,f6,f25,f20]) ).

fof(f25,axiom,
    meet(r2,b,e),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_r2_and_b) ).

fof(f656,plain,
    meet(d,c2,d),
    inference(unit_resulting_resolution,[],[f29,f29,f138,f15]) ).

fof(f138,plain,
    meet(a,c2,a),
    inference(unit_resulting_resolution,[],[f26,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ~ join(X0,X1,X2)
      | meet(X0,X2,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',absorbtion2) ).

fof(f26,axiom,
    join(a,b,c2),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_a_and_b) ).

fof(f1023,plain,
    ~ meet(d,a2,n0),
    inference(unit_resulting_resolution,[],[f31,f21,f5,f239,f20]) ).

fof(f239,plain,
    meet(r1,a2,r1),
    inference(unit_resulting_resolution,[],[f30,f14]) ).

fof(f30,axiom,
    join(r1,e,a2),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_r1_and_e) ).

fof(f5,axiom,
    ! [X0] : join(X0,n0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_x_and_0) ).

fof(f21,axiom,
    ~ meet(a2,b2,r1),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_a2_and_b2) ).

fof(f31,axiom,
    join(r1,d,b2),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',join_r1_and_d) ).

fof(f4915,plain,
    meet(c2,a2,e),
    inference(unit_resulting_resolution,[],[f238,f217,f5,f2058,f20]) ).

fof(f2058,plain,
    meet(e,c2,e),
    inference(unit_resulting_resolution,[],[f124,f124,f624,f15]) ).

fof(f624,plain,
    meet(b,c2,b),
    inference(unit_resulting_resolution,[],[f137,f14]) ).

fof(f137,plain,
    join(b,a,c2),
    inference(unit_resulting_resolution,[],[f26,f12]) ).

fof(f12,axiom,
    ! [X2,X0,X1] :
      ( ~ join(X0,X1,X2)
      | join(X1,X0,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',commutativity_of_join) ).

fof(f124,plain,
    meet(e,b,e),
    inference(unit_resulting_resolution,[],[f8,f25,f25,f15]) ).

fof(f8,axiom,
    ! [X0] : meet(X0,X0,X0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_x_and_x) ).

fof(f217,plain,
    meet(r1,c2,n0),
    inference(unit_resulting_resolution,[],[f4,f3,f6,f28,f20]) ).

fof(f28,axiom,
    meet(c2,r1,n0),
    file('/export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739',meet_c2_and_r1) ).

fof(f238,plain,
    join(e,r1,a2),
    inference(unit_resulting_resolution,[],[f30,f12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.35  % Computer : n031.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   : Thu Aug 24 10:03:06 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_EPR_NEQ_HRN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.hZCSFWBw4C/Vampire---4.8_3739
% 0.15/0.36  % (3894)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41  % (3901)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)
% 0.21/0.42  % (3896)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)
% 0.21/0.42  % (3897)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)
% 0.21/0.42  % (3898)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)
% 0.21/0.42  % (3895)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)
% 0.21/0.42  % (3900)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)
% 0.21/0.42  % (3899)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)
% 0.21/0.50  % (3897)Refutation not found, incomplete strategy% (3897)------------------------------
% 0.21/0.50  % (3897)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.50  % (3897)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.50  % (3897)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.50  
% 0.21/0.50  % (3897)Memory used [KB]: 6780
% 0.21/0.50  % (3897)Time elapsed: 0.085 s
% 0.21/0.50  % (3897)------------------------------
% 0.21/0.50  % (3897)------------------------------
% 0.21/0.53  % (3902)ott+10_8:1_br=off:cond=on:ep=RSTC:fsd=off:nm=0:sos=all:sp=reverse_weighted_frequency:tgt=full:urr=on_336 on Vampire---4 for (336ds/0Mi)
% 0.21/0.62  % (3902)First to succeed.
% 0.21/0.62  % (3902)Refutation found. Thanks to Tanya!
% 0.21/0.62  % SZS status Unsatisfiable for Vampire---4
% 0.21/0.62  % SZS output start Proof for Vampire---4
% See solution above
% 0.21/0.62  % (3902)------------------------------
% 0.21/0.62  % (3902)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.21/0.62  % (3902)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.21/0.62  % (3902)Termination reason: Refutation
% 0.21/0.62  
% 0.21/0.62  % (3902)Memory used [KB]: 6524
% 0.21/0.62  % (3902)Time elapsed: 0.086 s
% 0.21/0.62  % (3902)------------------------------
% 0.21/0.62  % (3902)------------------------------
% 0.21/0.62  % (3894)Success in time 0.261 s
% 0.21/0.62  % Vampire---4.8 exiting
%------------------------------------------------------------------------------