TSTP Solution File: PUZ130_1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ130_1 : TPTP v8.2.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 : Tue May 21 02:30:03 EDT 2024

% Result   : Theorem 0.10s 0.34s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   31 (  12 unt;  13 typ;   0 def)
%            Number of atoms       :   24 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   14 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    8 (   6   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-1 aty)
%            Number of variables   :    9 (   9   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    animal: $tType ).

tff(type_def_6,type,
    cat: $tType ).

tff(type_def_7,type,
    dog: $tType ).

tff(type_def_8,type,
    human: $tType ).

tff(func_def_0,type,
    cat_to_animal: cat > animal ).

tff(func_def_1,type,
    dog_to_animal: dog > animal ).

tff(func_def_2,type,
    garfield: cat ).

tff(func_def_3,type,
    odie: dog ).

tff(func_def_4,type,
    jon: human ).

tff(func_def_5,type,
    owner_of: animal > human ).

tff(func_def_6,type,
    sK0: animal > human ).

tff(pred_def_1,type,
    chased: ( dog * cat ) > $o ).

tff(pred_def_2,type,
    hates: ( human * human ) > $o ).

tff(f27,plain,
    $false,
    inference(subsumption_resolution,[],[f26,f17]) ).

tff(f17,plain,
    chased(odie,garfield),
    inference(cnf_transformation,[],[f6]) ).

tff(f6,axiom,
    chased(odie,garfield),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',odie_chased_garfield) ).

tff(f26,plain,
    ~ chased(odie,garfield),
    inference(subsumption_resolution,[],[f25,f16]) ).

tff(f16,plain,
    ~ hates(jon,jon),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,plain,
    ~ hates(jon,jon),
    inference(flattening,[],[f8]) ).

tff(f8,negated_conjecture,
    ~ hates(jon,jon),
    inference(negated_conjecture,[],[f7]) ).

tff(f7,conjecture,
    hates(jon,jon),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_hates_jon) ).

tff(f25,plain,
    ( hates(jon,jon)
    | ~ chased(odie,garfield) ),
    inference(superposition,[],[f23,f19]) ).

tff(f19,plain,
    jon = owner_of(dog_to_animal(odie)),
    inference(cnf_transformation,[],[f3]) ).

tff(f3,axiom,
    jon = owner_of(dog_to_animal(odie)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_odie) ).

tff(f23,plain,
    ! [X0: dog] :
      ( hates(jon,owner_of(dog_to_animal(X0)))
      | ~ chased(X0,garfield) ),
    inference(superposition,[],[f22,f18]) ).

tff(f18,plain,
    jon = owner_of(cat_to_animal(garfield)),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    jon = owner_of(cat_to_animal(garfield)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',jon_owns_garfield) ).

tff(f22,plain,
    ! [X0: cat,X1: dog] :
      ( hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1)))
      | ~ chased(X1,X0) ),
    inference(cnf_transformation,[],[f13]) ).

tff(f13,plain,
    ! [X0: cat,X1: dog] :
      ( hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1)))
      | ~ chased(X1,X0) ),
    inference(ennf_transformation,[],[f10]) ).

tff(f10,plain,
    ! [X0: cat,X1: dog] :
      ( chased(X1,X0)
     => hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1))) ),
    inference(rectify,[],[f5]) ).

tff(f5,axiom,
    ! [X2: cat,X3: dog] :
      ( chased(X3,X2)
     => hates(owner_of(cat_to_animal(X2)),owner_of(dog_to_animal(X3))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dog_chase_cat) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : PUZ130_1 : TPTP v8.2.0. Released v5.5.0.
% 0.02/0.10  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.32  % Computer : n025.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sat May 18 10:58:23 EDT 2024
% 0.10/0.33  % CPUTime    : 
% 0.10/0.33  % (20038)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.34  % (20041)WARNING: value z3 for option sas not known
% 0.10/0.34  % (20040)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.10/0.34  % (20041)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.34  % (20045)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.10/0.34  % (20043)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.10/0.34  % (20041)First to succeed.
% 0.10/0.34  % (20045)Also succeeded, but the first one will report.
% 0.10/0.34  % (20041)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20038"
% 0.10/0.34  % (20041)Refutation found. Thanks to Tanya!
% 0.10/0.34  % SZS status Theorem for theBenchmark
% 0.10/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.34  % (20041)------------------------------
% 0.10/0.34  % (20041)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.34  % (20041)Termination reason: Refutation
% 0.10/0.34  
% 0.10/0.34  % (20041)Memory used [KB]: 743
% 0.10/0.34  % (20041)Time elapsed: 0.003 s
% 0.10/0.34  % (20041)Instructions burned: 3 (million)
% 0.10/0.34  % (20038)Success in time 0.002 s
%------------------------------------------------------------------------------