TSTP Solution File: PUZ031_1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ031_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.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 Aug 31 18:11:36 EDT 2022
% Result : Theorem 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 63 ( 23 unt; 21 typ; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 29 ~; 26 |; 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 : 104 ( 91 !; 13 ?; 104 :)
% 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(f58,plain,
$false,
inference(resolution,[],[f57,f42]) ).
tff(f42,plain,
! [X0: grain,X1: wolf] : ~ eats(wolf_to_animal(X1),plant_to_edible(grain_to_plant(X0))),
inference(cnf_transformation,[],[f19]) ).
tff(f19,plain,
! [X0: grain,X1: wolf] : ~ eats(wolf_to_animal(X1),plant_to_edible(grain_to_plant(X0))),
inference(rectify,[],[f7]) ).
tff(f7,axiom,
! [X1: grain,X0: wolf] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
tff(f57,plain,
! [X0: wolf,X1: plant] : eats(wolf_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f56,f37]) ).
tff(f37,plain,
! [X0: wolf,X1: fox] : much_smaller(fox_to_animal(X1),wolf_to_animal(X0)),
inference(cnf_transformation,[],[f26]) ).
tff(f26,plain,
! [X0: wolf,X1: fox] : much_smaller(fox_to_animal(X1),wolf_to_animal(X0)),
inference(rectify,[],[f5]) ).
tff(f5,axiom,
! [X1: wolf,X0: fox] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
tff(f56,plain,
! [X2: fox,X3: animal,X4: plant] :
( ~ much_smaller(fox_to_animal(X2),X3)
| eats(X3,plant_to_edible(X4)) ),
inference(subsumption_resolution,[],[f55,f54]) ).
tff(f54,plain,
! [X0: animal,X1: fox] : ~ eats(X0,animal_to_edible(fox_to_animal(X1))),
inference(resolution,[],[f53,f39]) ).
tff(f39,plain,
! [X2: animal,X0: animal,X1: grain] :
( ~ eats(X2,plant_to_edible(grain_to_plant(X1)))
| ~ eats(X0,animal_to_edible(X2)) ),
inference(cnf_transformation,[],[f29]) ).
tff(f29,plain,
! [X0: animal,X1: grain,X2: animal] :
( ~ eats(X2,plant_to_edible(grain_to_plant(X1)))
| ~ eats(X0,animal_to_edible(X2)) ),
inference(rectify,[],[f22]) ).
tff(f22,plain,
! [X0: animal,X2: grain,X1: animal] :
( ~ eats(X1,plant_to_edible(grain_to_plant(X2)))
| ~ eats(X0,animal_to_edible(X1)) ),
inference(ennf_transformation,[],[f16]) ).
tff(f16,plain,
~ ? [X1: animal,X0: 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/benchmark/theBenchmark.p',pel47) ).
tff(f53,plain,
! [X0: fox,X1: plant] : eats(fox_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f52,f40]) ).
tff(f40,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/benchmark/theBenchmark.p',pel47_9) ).
tff(f52,plain,
! [X2: bird,X3: animal,X4: plant] :
( ~ much_smaller(bird_to_animal(X2),X3)
| eats(X3,plant_to_edible(X4)) ),
inference(subsumption_resolution,[],[f50,f49]) ).
tff(f49,plain,
! [X0: animal,X1: bird] : ~ eats(X0,animal_to_edible(bird_to_animal(X1))),
inference(resolution,[],[f48,f39]) ).
tff(f48,plain,
! [X2: plant,X0: bird] : eats(bird_to_animal(X0),plant_to_edible(X2)),
inference(subsumption_resolution,[],[f47,f33]) ).
tff(f33,plain,
! [X0: snail,X1: bird] : ~ eats(bird_to_animal(X1),animal_to_edible(snail_to_animal(X0))),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: snail,X1: bird] : ~ eats(bird_to_animal(X1),animal_to_edible(snail_to_animal(X0))),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
! [X1: snail,X0: bird] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
tff(f47,plain,
! [X2: plant,X0: bird,X1: snail] :
( eats(bird_to_animal(X0),plant_to_edible(X2))
| eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))) ),
inference(resolution,[],[f45,f36]) ).
tff(f36,plain,
! [X0: bird,X1: snail] : much_smaller(snail_to_animal(X1),bird_to_animal(X0)),
inference(cnf_transformation,[],[f17]) ).
tff(f17,plain,
! [X0: bird,X1: snail] : much_smaller(snail_to_animal(X1),bird_to_animal(X0)),
inference(rectify,[],[f2]) ).
tff(f2,axiom,
! [X1: bird,X0: snail] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
tff(f45,plain,
! [X2: plant,X0: snail,X1: animal] :
( ~ much_smaller(snail_to_animal(X0),X1)
| eats(X1,animal_to_edible(snail_to_animal(X0)))
| eats(X1,plant_to_edible(X2)) ),
inference(resolution,[],[f44,f34]) ).
tff(f34,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK0(X0))),
inference(cnf_transformation,[],[f25]) ).
tff(f25,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK0(X0))),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f11,f24]) ).
tff(f24,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/sandbox/benchmark/theBenchmark.p',pel47_14a) ).
tff(f44,plain,
! [X2: animal,X3: plant,X0: animal,X1: plant] :
( ~ eats(X2,plant_to_edible(X3))
| ~ much_smaller(X2,X0)
| eats(X0,animal_to_edible(X2))
| eats(X0,plant_to_edible(X1)) ),
inference(cnf_transformation,[],[f32]) ).
tff(f32,plain,
! [X0: animal] :
( ! [X1: plant] : eats(X0,plant_to_edible(X1))
| ! [X2: animal] :
( eats(X0,animal_to_edible(X2))
| ~ much_smaller(X2,X0)
| ! [X3: plant] : ~ eats(X2,plant_to_edible(X3)) ) ),
inference(rectify,[],[f21]) ).
tff(f21,plain,
! [X0: animal] :
( ! [X3: plant] : eats(X0,plant_to_edible(X3))
| ! [X1: animal] :
( eats(X0,animal_to_edible(X1))
| ~ much_smaller(X1,X0)
| ! [X2: plant] : ~ eats(X1,plant_to_edible(X2)) ) ),
inference(flattening,[],[f20]) ).
tff(f20,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/sandbox/benchmark/theBenchmark.p',pel47_7) ).
tff(f50,plain,
! [X2: bird,X3: animal,X4: plant] :
( ~ much_smaller(bird_to_animal(X2),X3)
| eats(X3,plant_to_edible(X4))
| eats(X3,animal_to_edible(bird_to_animal(X2))) ),
inference(resolution,[],[f48,f44]) ).
tff(f55,plain,
! [X2: fox,X3: animal,X4: plant] :
( ~ much_smaller(fox_to_animal(X2),X3)
| eats(X3,plant_to_edible(X4))
| eats(X3,animal_to_edible(fox_to_animal(X2))) ),
inference(resolution,[],[f53,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : PUZ031_1 : TPTP v8.1.0. Released v5.0.0.
% 0.10/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 10:38:40 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.47 % (18890)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.48 % (18880)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.48 % (18898)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.48 % (18882)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.48 % (18878)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.48 % (18882)First to succeed.
% 0.17/0.49 % (18882)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Theorem for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (18882)------------------------------
% 0.17/0.49 % (18882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49 % (18882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49 % (18882)Termination reason: Refutation
% 0.17/0.49
% 0.17/0.49 % (18882)Memory used [KB]: 5373
% 0.17/0.49 % (18882)Time elapsed: 0.104 s
% 0.17/0.49 % (18882)Instructions burned: 2 (million)
% 0.17/0.49 % (18882)------------------------------
% 0.17/0.49 % (18882)------------------------------
% 0.17/0.49 % (18874)Success in time 0.161 s
%------------------------------------------------------------------------------