TSTP Solution File: PUZ031_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% 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 : n027.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 : Wed May  1 03:38:18 EDT 2024

% Result   : Theorem 0.54s 0.75s
% Output   : Refutation 0.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   30
% Syntax   : Number of formulae    :   57 (  19 unt;  21 typ;   0 def)
%            Number of atoms       :   66 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   54 (  24   ~;  22   |;   5   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of types       :   10 (   9 usr)
%            Number of type conns  :   14 (  12   >;   2   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   0 con; 1-1 aty)
%            Number of variables   :   89 (  76   !;  13   ?;  89   :)

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

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

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

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

tff(type_def_9,type,
    caterpillar: $tType ).

tff(type_def_10,type,
    snail: $tType ).

tff(type_def_11,type,
    plant: $tType ).

tff(type_def_12,type,
    grain: $tType ).

tff(type_def_13,type,
    edible: $tType ).

tff(func_def_0,type,
    wolf_to_animal: wolf > animal ).

tff(func_def_1,type,
    fox_to_animal: fox > animal ).

tff(func_def_2,type,
    bird_to_animal: bird > animal ).

tff(func_def_3,type,
    caterpillar_to_animal: caterpillar > animal ).

tff(func_def_4,type,
    snail_to_animal: snail > animal ).

tff(func_def_5,type,
    grain_to_plant: grain > plant ).

tff(func_def_6,type,
    animal_to_edible: animal > edible ).

tff(func_def_7,type,
    plant_to_edible: plant > edible ).

tff(func_def_8,type,
    sK0: caterpillar > plant ).

tff(func_def_9,type,
    sK1: snail > plant ).

tff(pred_def_1,type,
    eats: ( animal * edible ) > $o ).

tff(pred_def_2,type,
    much_smaller: ( animal * animal ) > $o ).

tff(f48,plain,
    $false,
    inference(resolution,[],[f47,f29]) ).

tff(f29,plain,
    ! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
    inference(cnf_transformation,[],[f7]) ).

tff(f7,axiom,
    ! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_11a) ).

tff(f47,plain,
    ! [X0: wolf,X1: plant] : eats(wolf_to_animal(X0),plant_to_edible(X1)),
    inference(resolution,[],[f45,f27]) ).

tff(f27,plain,
    ! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    ! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_10) ).

tff(f45,plain,
    ! [X2: plant,X0: fox,X1: animal] :
      ( ~ much_smaller(fox_to_animal(X0),X1)
      | eats(X1,plant_to_edible(X2)) ),
    inference(resolution,[],[f44,f43]) ).

tff(f43,plain,
    ! [X0: animal,X1: fox] : ~ eats(X0,animal_to_edible(fox_to_animal(X1))),
    inference(resolution,[],[f42,f34]) ).

tff(f34,plain,
    ! [X2: grain,X0: animal,X1: animal] :
      ( ~ eats(X1,plant_to_edible(grain_to_plant(X2)))
      | ~ eats(X0,animal_to_edible(X1)) ),
    inference(cnf_transformation,[],[f18]) ).

tff(f18,plain,
    ! [X0: animal,X1: animal,X2: grain] :
      ( ~ eats(X0,animal_to_edible(X1))
      | ~ eats(X1,plant_to_edible(grain_to_plant(X2))) ),
    inference(ennf_transformation,[],[f15]) ).

tff(f15,plain,
    ~ ? [X0: animal,X1: animal,X2: grain] :
        ( eats(X0,animal_to_edible(X1))
        & eats(X1,plant_to_edible(grain_to_plant(X2))) ),
    inference(rectify,[],[f13]) ).

tff(f13,negated_conjecture,
    ~ ? [X0: animal,X1: animal,X3: grain] :
        ( eats(X0,animal_to_edible(X1))
        & eats(X1,plant_to_edible(grain_to_plant(X3))) ),
    inference(negated_conjecture,[],[f12]) ).

tff(f12,conjecture,
    ? [X0: animal,X1: animal,X3: grain] :
      ( eats(X0,animal_to_edible(X1))
      & eats(X1,plant_to_edible(grain_to_plant(X3))) ),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47) ).

tff(f42,plain,
    ! [X0: fox,X1: plant] : eats(fox_to_animal(X0),plant_to_edible(X1)),
    inference(resolution,[],[f41,f26]) ).

tff(f26,plain,
    ! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    ! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_9) ).

tff(f41,plain,
    ! [X2: plant,X0: bird,X1: animal] :
      ( ~ much_smaller(bird_to_animal(X0),X1)
      | eats(X1,plant_to_edible(X2)) ),
    inference(resolution,[],[f40,f39]) ).

tff(f39,plain,
    ! [X0: animal,X1: bird] : ~ eats(X0,animal_to_edible(bird_to_animal(X1))),
    inference(resolution,[],[f38,f34]) ).

tff(f38,plain,
    ! [X0: bird,X1: plant] : eats(bird_to_animal(X0),plant_to_edible(X1)),
    inference(resolution,[],[f37,f24]) ).

tff(f24,plain,
    ! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
    inference(cnf_transformation,[],[f2]) ).

tff(f2,axiom,
    ! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_8) ).

tff(f37,plain,
    ! [X2: plant,X0: snail,X1: bird] :
      ( ~ much_smaller(snail_to_animal(X0),bird_to_animal(X1))
      | eats(bird_to_animal(X1),plant_to_edible(X2)) ),
    inference(resolution,[],[f36,f31]) ).

tff(f31,plain,
    ! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,axiom,
    ! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_13) ).

tff(f36,plain,
    ! [X2: plant,X0: animal,X1: snail] :
      ( eats(X0,animal_to_edible(snail_to_animal(X1)))
      | ~ much_smaller(snail_to_animal(X1),X0)
      | eats(X0,plant_to_edible(X2)) ),
    inference(resolution,[],[f23,f33]) ).

tff(f33,plain,
    ! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
    inference(cnf_transformation,[],[f22]) ).

tff(f22,plain,
    ! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f11,f21]) ).

tff(f21,plain,
    ! [X0: snail] :
      ( ? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1))
     => eats(snail_to_animal(X0),plant_to_edible(sK1(X0))) ),
    introduced(choice_axiom,[]) ).

tff(f11,axiom,
    ! [X0: snail] :
    ? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1)),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_14a) ).

tff(f23,plain,
    ! [X2: plant,X3: plant,X0: animal,X1: animal] :
      ( ~ eats(X1,plant_to_edible(X2))
      | eats(X0,animal_to_edible(X1))
      | ~ much_smaller(X1,X0)
      | eats(X0,plant_to_edible(X3)) ),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,plain,
    ! [X0: animal] :
      ( ! [X1: animal] :
          ( eats(X0,animal_to_edible(X1))
          | ! [X2: plant] : ~ eats(X1,plant_to_edible(X2))
          | ~ much_smaller(X1,X0) )
      | ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
    inference(flattening,[],[f16]) ).

tff(f16,plain,
    ! [X0: animal] :
      ( ! [X1: animal] :
          ( eats(X0,animal_to_edible(X1))
          | ! [X2: plant] : ~ eats(X1,plant_to_edible(X2))
          | ~ much_smaller(X1,X0) )
      | ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
    inference(ennf_transformation,[],[f14]) ).

tff(f14,plain,
    ! [X0: animal] :
      ( ! [X1: animal] :
          ( ( ? [X2: plant] : eats(X1,plant_to_edible(X2))
            & much_smaller(X1,X0) )
         => eats(X0,animal_to_edible(X1)) )
      | ! [X3: plant] : eats(X0,plant_to_edible(X3)) ),
    inference(rectify,[],[f1]) ).

tff(f1,axiom,
    ! [X0: animal] :
      ( ! [X2: animal] :
          ( ( ? [X3: plant] : eats(X2,plant_to_edible(X3))
            & much_smaller(X2,X0) )
         => eats(X0,animal_to_edible(X2)) )
      | ! [X1: plant] : eats(X0,plant_to_edible(X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134',pel47_7) ).

tff(f40,plain,
    ! [X2: plant,X0: animal,X1: bird] :
      ( eats(X0,animal_to_edible(bird_to_animal(X1)))
      | ~ much_smaller(bird_to_animal(X1),X0)
      | eats(X0,plant_to_edible(X2)) ),
    inference(resolution,[],[f38,f23]) ).

tff(f44,plain,
    ! [X2: plant,X0: animal,X1: fox] :
      ( eats(X0,animal_to_edible(fox_to_animal(X1)))
      | ~ much_smaller(fox_to_animal(X1),X0)
      | eats(X0,plant_to_edible(X2)) ),
    inference(resolution,[],[f42,f23]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : PUZ031_1 : TPTP v8.1.2. Released v5.0.0.
% 0.08/0.14  % 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
% 0.15/0.35  % Computer : n027.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   : Tue Apr 30 17:55:18 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_NEQ_NAR problem
% 0.15/0.36  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/tmp/tmp.0RtnRqicNv/Vampire---4.8_23134
% 0.54/0.74  % (23395)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.54/0.74  % (23395)Refutation not found, incomplete strategy% (23395)------------------------------
% 0.54/0.74  % (23395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.74  % (23395)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.74  
% 0.54/0.74  % (23395)Memory used [KB]: 951
% 0.54/0.74  % (23395)Time elapsed: 0.001 s
% 0.54/0.74  % (23395)Instructions burned: 2 (million)
% 0.54/0.74  % (23395)------------------------------
% 0.54/0.74  % (23395)------------------------------
% 0.54/0.75  % (23388)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (23390)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.54/0.75  % (23389)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 Vampire---4 for (2996ds/51Mi)
% 0.54/0.75  % (23392)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 Vampire---4 for (2996ds/34Mi)
% 0.54/0.75  % (23393)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.54/0.75  % (23391)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.54/0.75  % (23391)Refutation not found, incomplete strategy% (23391)------------------------------
% 0.54/0.75  % (23391)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (23391)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (23391)Memory used [KB]: 945
% 0.54/0.75  % (23391)Time elapsed: 0.002 s
% 0.54/0.75  % (23391)Instructions burned: 2 (million)
% 0.54/0.75  % (23391)------------------------------
% 0.54/0.75  % (23391)------------------------------
% 0.54/0.75  % (23388)Refutation not found, incomplete strategy% (23388)------------------------------
% 0.54/0.75  % (23388)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (23388)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (23388)Memory used [KB]: 953
% 0.54/0.75  % (23388)Time elapsed: 0.002 s
% 0.54/0.75  % (23388)Instructions burned: 2 (million)
% 0.54/0.75  % (23388)------------------------------
% 0.54/0.75  % (23388)------------------------------
% 0.54/0.75  % (23392)Refutation not found, incomplete strategy% (23392)------------------------------
% 0.54/0.75  % (23392)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (23392)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (23392)Memory used [KB]: 957
% 0.54/0.75  % (23392)Time elapsed: 0.002 s
% 0.54/0.75  % (23392)Instructions burned: 2 (million)
% 0.54/0.75  % (23392)------------------------------
% 0.54/0.75  % (23392)------------------------------
% 0.54/0.75  % (23393)Refutation not found, incomplete strategy% (23393)------------------------------
% 0.54/0.75  % (23393)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (23393)Termination reason: Refutation not found, incomplete strategy
% 0.54/0.75  
% 0.54/0.75  % (23393)Memory used [KB]: 968
% 0.54/0.75  % (23393)Time elapsed: 0.003 s
% 0.54/0.75  % (23393)Instructions burned: 2 (million)
% 0.54/0.75  % (23393)------------------------------
% 0.54/0.75  % (23393)------------------------------
% 0.54/0.75  % (23389)First to succeed.
% 0.54/0.75  % (23390)Also succeeded, but the first one will report.
% 0.54/0.75  % (23394)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 Vampire---4 for (2996ds/83Mi)
% 0.54/0.75  % (23389)Refutation found. Thanks to Tanya!
% 0.54/0.75  % SZS status Theorem for Vampire---4
% 0.54/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.54/0.75  % (23389)------------------------------
% 0.54/0.75  % (23389)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.54/0.75  % (23389)Termination reason: Refutation
% 0.54/0.75  
% 0.54/0.75  % (23389)Memory used [KB]: 980
% 0.54/0.75  % (23389)Time elapsed: 0.004 s
% 0.54/0.75  % (23389)Instructions burned: 4 (million)
% 0.54/0.75  % (23389)------------------------------
% 0.54/0.75  % (23389)------------------------------
% 0.54/0.75  % (23384)Success in time 0.383 s
% 0.54/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------