TSTP Solution File: LCL064-2 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : LCL064-2 : 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 : n001.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 08:21:38 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (  12 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   7   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   24 (;  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5056,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1215,f35,f528,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.QsbC71LnRW/Vampire---4.8_21441',condensed_detachment) ).

fof(f528,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
    inference(unit_resulting_resolution,[],[f6,f34,f1]) ).

fof(f34,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
    inference(unit_resulting_resolution,[],[f3,f3,f1]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
    file('/export/starexec/sandbox2/tmp/tmp.QsbC71LnRW/Vampire---4.8_21441',cn_35) ).

fof(f6,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
    inference(unit_resulting_resolution,[],[f2,f2,f1]) ).

fof(f2,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    file('/export/starexec/sandbox2/tmp/tmp.QsbC71LnRW/Vampire---4.8_21441',cn_18) ).

fof(f35,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
    inference(unit_resulting_resolution,[],[f2,f3,f1]) ).

fof(f1215,plain,
    ~ is_a_theorem(implies(implies(b,c),implies(implies(a,b),implies(a,c)))),
    inference(unit_resulting_resolution,[],[f3,f849,f1]) ).

fof(f849,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(X0,implies(a,b)),implies(implies(b,c),implies(a,c)))),
    inference(unit_resulting_resolution,[],[f2,f65,f1]) ).

fof(f65,plain,
    ! [X0] : ~ is_a_theorem(implies(implies(a,b),implies(implies(X0,implies(a,b)),implies(implies(b,c),implies(a,c))))),
    inference(unit_resulting_resolution,[],[f3,f5,f1]) ).

fof(f5,plain,
    ! [X0,X1] : ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),implies(implies(a,b),implies(implies(b,c),implies(a,c))))),
    inference(unit_resulting_resolution,[],[f2,f4,f1]) ).

fof(f4,axiom,
    ~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
    file('/export/starexec/sandbox2/tmp/tmp.QsbC71LnRW/Vampire---4.8_21441',prove_cn_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL064-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Fri Aug 25 01:43:42 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_NEQ_HRN problem
% 0.13/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.QsbC71LnRW/Vampire---4.8_21441
% 0.13/0.35  % (21827)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (21830)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)
% 0.20/0.41  % (21833)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)
% 0.20/0.41  % (21831)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)
% 0.20/0.41  % (21832)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)
% 0.20/0.41  % (21829)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)
% 0.20/0.41  % (21835)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)
% 0.20/0.41  % (21834)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)
% 0.20/0.52  % (21834)First to succeed.
% 0.20/0.53  % (21834)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for Vampire---4
% 0.20/0.53  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.53  % (21834)------------------------------
% 0.20/0.53  % (21834)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.53  % (21834)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.53  % (21834)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (21834)Memory used [KB]: 9594
% 0.20/0.53  % (21834)Time elapsed: 0.111 s
% 0.20/0.53  % (21834)------------------------------
% 0.20/0.53  % (21834)------------------------------
% 0.20/0.53  % (21827)Success in time 0.174 s
% 0.20/0.53  % Vampire---4.8 exiting
%------------------------------------------------------------------------------