TSTP Solution File: PUZ132+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n017.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 13:25:44 EDT 2023

% Result   : Theorem 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   27 (   9 unt;   0 def)
%            Number of atoms       :   45 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   36 (  18   ~;  11   |;   2   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   11 (;  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(resolution,[],[f41,f28]) ).

fof(f28,plain,
    capital(washington),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    capital(washington),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',washington_type) ).

fof(f41,plain,
    ~ capital(washington),
    inference(resolution,[],[f40,f33]) ).

fof(f33,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(cnf_transformation,[],[f19]) ).

fof(f19,plain,
    ! [X0] :
      ( city(X0)
      | ~ capital(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( capital(X0)
     => city(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',capital_city_type) ).

fof(f40,plain,
    ~ city(washington),
    inference(resolution,[],[f39,f27]) ).

fof(f27,plain,
    country(usa),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    country(usa),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',usa_type) ).

fof(f39,plain,
    ( ~ country(usa)
    | ~ city(washington) ),
    inference(resolution,[],[f38,f30]) ).

fof(f30,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(X0) ),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( has_crime(X0)
      | ~ city(X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f13,plain,
    ! [X0] :
      ( city(X0)
     => has_crime(X0) ),
    inference(rectify,[],[f8]) ).

fof(f8,axiom,
    ! [X1] :
      ( city(X1)
     => has_crime(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',crime_axiom) ).

fof(f38,plain,
    ( ~ has_crime(washington)
    | ~ country(usa) ),
    inference(resolution,[],[f37,f26]) ).

fof(f26,plain,
    ( ~ beautiful(washington)
    | ~ has_crime(washington) ),
    inference(cnf_transformation,[],[f15]) ).

fof(f15,plain,
    ( ~ has_crime(washington)
    | ~ beautiful(washington) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f12,negated_conjecture,
    ~ ( has_crime(washington)
      & beautiful(washington) ),
    inference(negated_conjecture,[],[f11]) ).

fof(f11,conjecture,
    ( has_crime(washington)
    & beautiful(washington) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',washington_conjecture) ).

fof(f37,plain,
    ( beautiful(washington)
    | ~ country(usa) ),
    inference(superposition,[],[f31,f29]) ).

fof(f29,plain,
    washington = capital_city(usa),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    washington = capital_city(usa),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',usa_capital_axiom) ).

fof(f31,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( beautiful(capital_city(X0))
      | ~ country(X0) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f14,plain,
    ! [X0] :
      ( country(X0)
     => beautiful(capital_city(X0)) ),
    inference(rectify,[],[f10]) ).

fof(f10,axiom,
    ! [X1] :
      ( country(X1)
     => beautiful(capital_city(X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526',beautiful_capital_axiom) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PUZ132+1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n017.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 22:15:11 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.DoFUZ0SUQm/Vampire---4.8_24526
% 0.14/0.35  % (24637)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (24641)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.20/0.41  % (24642)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.20/0.41  % (24643)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.20/0.41  % (24638)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.20/0.41  % (24640)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.20/0.41  % (24639)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.20/0.41  % (24642)Refutation not found, incomplete strategy% (24642)------------------------------
% 0.20/0.41  % (24642)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.41  % (24642)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.41  % (24642)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.41  
% 0.20/0.41  % (24642)Memory used [KB]: 895
% 0.20/0.41  % (24642)Time elapsed: 0.003 s
% 0.20/0.41  % (24642)------------------------------
% 0.20/0.41  % (24642)------------------------------
% 0.20/0.41  % (24641)First to succeed.
% 0.20/0.41  % (24644)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 0.20/0.41  % (24640)Also succeeded, but the first one will report.
% 0.20/0.42  % (24639)Also succeeded, but the first one will report.
% 0.20/0.42  % (24641)Refutation found. Thanks to Tanya!
% 0.20/0.42  % SZS status Theorem for Vampire---4
% 0.20/0.42  % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.42  % (24641)------------------------------
% 0.20/0.42  % (24641)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (24641)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (24641)Termination reason: Refutation
% 0.20/0.42  
% 0.20/0.42  % (24641)Memory used [KB]: 895
% 0.20/0.42  % (24641)Time elapsed: 0.004 s
% 0.20/0.42  % (24641)------------------------------
% 0.20/0.42  % (24641)------------------------------
% 0.20/0.42  % (24637)Success in time 0.061 s
% 0.20/0.42  % Vampire---4.8 exiting
%------------------------------------------------------------------------------