TSTP Solution File: PUZ031_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ031_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 02:29:04 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 31
% Syntax : Number of formulae : 58 ( 19 unt; 21 typ; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 24 ~; 23 |; 5 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 98 ( 85 !; 13 ?; 98 :)
% 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: snail > plant ).
tff(func_def_9,type,
sK1: caterpillar > 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,f32]) ).
tff(f32,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/sandbox2/benchmark/theBenchmark.p',pel47_11a) ).
tff(f47,plain,
! [X0: wolf,X1: plant] : eats(wolf_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f46,f40]) ).
tff(f40,plain,
! [X2: wolf,X3: plant,X0: fox,X1: plant] :
( ~ eats(fox_to_animal(X0),plant_to_edible(X1))
| eats(wolf_to_animal(X2),plant_to_edible(X3)) ),
inference(subsumption_resolution,[],[f36,f31]) ).
tff(f31,plain,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_11) ).
tff(f36,plain,
! [X2: wolf,X3: plant,X0: fox,X1: plant] :
( ~ eats(fox_to_animal(X0),plant_to_edible(X1))
| eats(wolf_to_animal(X2),animal_to_edible(fox_to_animal(X0)))
| eats(wolf_to_animal(X2),plant_to_edible(X3)) ),
inference(resolution,[],[f24,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/sandbox2/benchmark/theBenchmark.p',pel47_10) ).
tff(f24,plain,
! [X2: plant,X3: plant,X0: animal,X1: animal] :
( ~ much_smaller(X1,X0)
| ~ eats(X1,plant_to_edible(X2))
| eats(X0,animal_to_edible(X1))
| eats(X0,plant_to_edible(X3)) ),
inference(cnf_transformation,[],[f18]) ).
tff(f18,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,[],[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(ennf_transformation,[],[f15]) ).
tff(f15,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/sandbox2/benchmark/theBenchmark.p',pel47_7) ).
tff(f46,plain,
! [X0: fox,X1: plant] : eats(fox_to_animal(X0),plant_to_edible(X1)),
inference(subsumption_resolution,[],[f44,f42]) ).
tff(f42,plain,
! [X0: bird,X1: plant] : eats(bird_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f41,f25]) ).
tff(f25,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK0(X0))),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK0(X0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f19]) ).
tff(f19,plain,
! [X0: snail] :
( ? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1))
=> eats(snail_to_animal(X0),plant_to_edible(sK0(X0))) ),
introduced(choice_axiom,[]) ).
tff(f11,axiom,
! [X0: snail] :
? [X1: plant] : eats(snail_to_animal(X0),plant_to_edible(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel47_14a) ).
tff(f41,plain,
! [X2: bird,X3: plant,X0: snail,X1: plant] :
( ~ eats(snail_to_animal(X0),plant_to_edible(X1))
| eats(bird_to_animal(X2),plant_to_edible(X3)) ),
inference(subsumption_resolution,[],[f39,f33]) ).
tff(f33,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/sandbox2/benchmark/theBenchmark.p',pel47_13) ).
tff(f39,plain,
! [X2: bird,X3: plant,X0: snail,X1: plant] :
( ~ eats(snail_to_animal(X0),plant_to_edible(X1))
| eats(bird_to_animal(X2),animal_to_edible(snail_to_animal(X0)))
| eats(bird_to_animal(X2),plant_to_edible(X3)) ),
inference(resolution,[],[f24,f29]) ).
tff(f29,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/sandbox2/benchmark/theBenchmark.p',pel47_8) ).
tff(f44,plain,
! [X2: bird,X3: grain,X0: fox,X1: plant] :
( eats(fox_to_animal(X0),plant_to_edible(X1))
| ~ eats(bird_to_animal(X2),plant_to_edible(grain_to_plant(X3))) ),
inference(resolution,[],[f43,f23]) ).
tff(f23,plain,
! [X2: grain,X0: animal,X1: animal] :
( ~ eats(X0,animal_to_edible(X1))
| ~ eats(X1,plant_to_edible(grain_to_plant(X2))) ),
inference(cnf_transformation,[],[f16]) ).
tff(f16,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,[],[f14]) ).
tff(f14,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/sandbox2/benchmark/theBenchmark.p',pel47) ).
tff(f43,plain,
! [X2: fox,X3: plant,X0: bird] :
( eats(fox_to_animal(X2),animal_to_edible(bird_to_animal(X0)))
| eats(fox_to_animal(X2),plant_to_edible(X3)) ),
inference(subsumption_resolution,[],[f37,f42]) ).
tff(f37,plain,
! [X2: fox,X3: plant,X0: bird,X1: plant] :
( ~ eats(bird_to_animal(X0),plant_to_edible(X1))
| eats(fox_to_animal(X2),animal_to_edible(bird_to_animal(X0)))
| eats(fox_to_animal(X2),plant_to_edible(X3)) ),
inference(resolution,[],[f24,f30]) ).
tff(f30,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/sandbox2/benchmark/theBenchmark.p',pel47_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ031_1 : TPTP v8.2.0. Released v5.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.38 % Computer : n021.cluster.edu
% 0.14/0.38 % Model : x86_64 x86_64
% 0.14/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38 % Memory : 8042.1875MB
% 0.14/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sat May 18 10:31:23 EDT 2024
% 0.14/0.39 % CPUTime :
% 0.14/0.39 % (13816)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.41 % (13817)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.41 % (13819)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.41 % (13818)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.41 % (13820)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.41 % (13821)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.41 % (13822)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.41 % (13823)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.41 % (13821)First to succeed.
% 0.14/0.41 % (13822)Also succeeded, but the first one will report.
% 0.14/0.41 % (13819)Also succeeded, but the first one will report.
% 0.14/0.41 % (13821)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13816"
% 0.14/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.41 TRYING [1,1,1,1,1,1,1,1,1]
% 0.14/0.41 TRYING [2,1,1,1,1,1,1,1,1]
% 0.14/0.41 % (13821)Refutation found. Thanks to Tanya!
% 0.14/0.41 % SZS status Theorem for theBenchmark
% 0.14/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.41 % (13821)------------------------------
% 0.14/0.41 % (13821)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.41 % (13821)Termination reason: Refutation
% 0.14/0.41
% 0.14/0.41 % (13821)Memory used [KB]: 741
% 0.14/0.41 % (13821)Time elapsed: 0.004 s
% 0.14/0.41 % (13821)Instructions burned: 4 (million)
% 0.14/0.41 % (13816)Success in time 0.019 s
%------------------------------------------------------------------------------