TSTP Solution File: PUZ130_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ130_1 : TPTP v8.2.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n015.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 02:28:44 EDT 2024

% Result   : Theorem 0.52s 0.74s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   38 (  19 unt;  13 typ;   0 def)
%            Number of atoms       :   31 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   3  =>;   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   :   16 (  14   !;   2   ?;  16   :)

% 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(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f29,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(f29,plain,
    hates(jon,jon),
    inference(forward_demodulation,[],[f28,f26]) ).

tff(f26,plain,
    jon = sK0(cat_to_animal(garfield)),
    inference(definition_unfolding,[],[f20,f22]) ).

tff(f22,plain,
    ! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,plain,
    ! [X0: animal] : ( owner_of(X0) = sK0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f1,f14]) ).

tff(f14,plain,
    ! [X0: animal] :
      ( ? [X1: human] : ( owner_of(X0) = X1 )
     => ( owner_of(X0) = sK0(X0) ) ),
    introduced(choice_axiom,[]) ).

tff(f1,axiom,
    ! [X0: animal] :
    ? [X1: human] : ( owner_of(X0) = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',human_owner) ).

tff(f20,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(f28,plain,
    hates(sK0(cat_to_animal(garfield)),jon),
    inference(forward_demodulation,[],[f27,f25]) ).

tff(f25,plain,
    jon = sK0(dog_to_animal(odie)),
    inference(definition_unfolding,[],[f19,f22]) ).

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(f27,plain,
    hates(sK0(cat_to_animal(garfield)),sK0(dog_to_animal(odie))),
    inference(resolution,[],[f23,f21]) ).

tff(f21,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(f23,plain,
    ! [X0: cat,X1: dog] :
      ( ~ chased(X1,X0)
      | hates(sK0(cat_to_animal(X0)),sK0(dog_to_animal(X1))) ),
    inference(definition_unfolding,[],[f17,f22,f22]) ).

tff(f17,plain,
    ! [X0: cat,X1: dog] :
      ( hates(owner_of(cat_to_animal(X0)),owner_of(dog_to_animal(X1)))
      | ~ chased(X1,X0) ),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,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
% 0.03/0.12  % Problem    : PUZ130_1 : TPTP v8.2.0. Released v5.5.0.
% 0.03/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sat May 18 10:58:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a TF0_THM_EQU_NAR problem
% 0.13/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.52/0.74  % (2305)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.52/0.74  % (2305)Refutation not found, incomplete strategy% (2305)------------------------------
% 0.52/0.74  % (2305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2305)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (2305)Memory used [KB]: 948
% 0.52/0.74  % (2305)Time elapsed: 0.001 s
% 0.52/0.74  % (2305)Instructions burned: 2 (million)
% 0.52/0.74  % (2305)------------------------------
% 0.52/0.74  % (2305)------------------------------
% 0.52/0.74  % (2298)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.52/0.74  % (2300)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.52/0.74  % (2299)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.52/0.74  % (2302)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.52/0.74  % (2303)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.52/0.74  % (2301)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.52/0.74  % (2304)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.52/0.74  % (2301)Refutation not found, incomplete strategy% (2301)------------------------------
% 0.52/0.74  % (2301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2301)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (2301)Memory used [KB]: 943
% 0.52/0.74  % (2301)Time elapsed: 0.002 s
% 0.52/0.74  % (2301)Instructions burned: 2 (million)
% 0.52/0.74  % (2298)Refutation not found, incomplete strategy% (2298)------------------------------
% 0.52/0.74  % (2298)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2302)Refutation not found, incomplete strategy% (2302)------------------------------
% 0.52/0.74  % (2302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2302)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (2302)Memory used [KB]: 950
% 0.52/0.74  % (2302)Time elapsed: 0.002 s
% 0.52/0.74  % (2302)Instructions burned: 2 (million)
% 0.52/0.74  % (2298)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (2298)Memory used [KB]: 961
% 0.52/0.74  % (2298)Time elapsed: 0.003 s
% 0.52/0.74  % (2298)Instructions burned: 2 (million)
% 0.52/0.74  % (2301)------------------------------
% 0.52/0.74  % (2301)------------------------------
% 0.52/0.74  % (2303)Refutation not found, incomplete strategy% (2303)------------------------------
% 0.52/0.74  % (2303)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2303)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  % (2302)------------------------------
% 0.52/0.74  % (2302)------------------------------
% 0.52/0.74  
% 0.52/0.74  % (2303)Memory used [KB]: 952
% 0.52/0.74  % (2303)Time elapsed: 0.002 s
% 0.52/0.74  % (2303)Instructions burned: 2 (million)
% 0.52/0.74  % (2300)First to succeed.
% 0.52/0.74  % (2298)------------------------------
% 0.52/0.74  % (2298)------------------------------
% 0.52/0.74  % (2304)Refutation not found, incomplete strategy% (2304)------------------------------
% 0.52/0.74  % (2304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.52/0.74  % (2304)Termination reason: Refutation not found, incomplete strategy
% 0.52/0.74  
% 0.52/0.74  % (2304)Memory used [KB]: 948
% 0.52/0.74  % (2304)Time elapsed: 0.003 s
% 0.52/0.74  % (2299)Also succeeded, but the first one will report.
% 0.52/0.74  % (2304)Instructions burned: 2 (million)
% 0.52/0.74  % (2303)------------------------------
% 0.52/0.74  % (2303)------------------------------
% 0.52/0.74  % (2304)------------------------------
% 0.52/0.74  % (2304)------------------------------
% 0.52/0.74  % (2300)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2297"
% 0.52/0.74  % (2306)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.52/0.74  % (2300)Refutation found. Thanks to Tanya!
% 0.52/0.74  % SZS status Theorem for theBenchmark
% 0.52/0.74  % SZS output start Proof for theBenchmark
% See solution above
% 0.62/0.74  % (2300)------------------------------
% 0.62/0.74  % (2300)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.74  % (2300)Termination reason: Refutation
% 0.62/0.74  
% 0.62/0.74  % (2300)Memory used [KB]: 963
% 0.62/0.74  % (2300)Time elapsed: 0.003 s
% 0.62/0.74  % (2300)Instructions burned: 3 (million)
% 0.62/0.74  % (2297)Success in time 0.377 s
% 0.62/0.74  % Vampire---4.8 exiting
%------------------------------------------------------------------------------