%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:59 PM UTC 2026
% Result : Theorem 0.10s 0.44s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 22 ~; 21 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 80 ( 72 !; 8 ?; 80 :)
% 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(f1,axiom,
! [X0: animal] :
( ! [X1: plant] : eats(X0,plant_to_edible(X1))
| ! [X2: animal] :
( ( much_smaller(X2,X0)
& ? [X3: plant] : eats(X2,plant_to_edible(X3)) )
=> eats(X0,animal_to_edible(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_7) ).
tff(f2,axiom,
! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_8) ).
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(f5,axiom,
! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_10) ).
tff(f7,axiom,
! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11a) ).
tff(f9,axiom,
! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_13) ).
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(f12,conjecture,
? [X0: animal,X1: animal,X2: grain] :
( eats(X1,plant_to_edible(grain_to_plant(X2)))
& eats(X0,animal_to_edible(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47) ).
tff(f13,negated_conjecture,
~ ? [X0: animal,X1: animal,X2: grain] :
( eats(X1,plant_to_edible(grain_to_plant(X2)))
& eats(X0,animal_to_edible(X1)) ),
inference(negated_conjecture,[status(cth)],[f12]) ).
tff(f14,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(ennf_transformation,[],[f1]) ).
tff(f15,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(flattening,[],[f14]) ).
tff(f16,plain,
! [X0: animal,X1: animal,X2: grain] :
( ~ eats(X1,plant_to_edible(grain_to_plant(X2)))
| ~ eats(X0,animal_to_edible(X1)) ),
inference(ennf_transformation,[],[f13]) ).
tff(f18,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X1,sK1(X0))],[f11]) ).
tff(f19,plain,
! [X2: animal,X3: plant,X0: animal,X1: plant] :
( ~ eats(X2,plant_to_edible(X3))
| eats(X0,animal_to_edible(X2))
| ~ much_smaller(X2,X0)
| eats(X0,plant_to_edible(X1)) ),
inference(cnf_transformation,[],[f15]) ).
tff(f20,plain,
! [X0: snail,X1: bird] : much_smaller(snail_to_animal(X0),bird_to_animal(X1)),
inference(cnf_transformation,[],[f2]) ).
tff(f22,plain,
! [X0: bird,X1: fox] : much_smaller(bird_to_animal(X0),fox_to_animal(X1)),
inference(cnf_transformation,[],[f4]) ).
tff(f23,plain,
! [X0: fox,X1: wolf] : much_smaller(fox_to_animal(X0),wolf_to_animal(X1)),
inference(cnf_transformation,[],[f5]) ).
tff(f25,plain,
! [X0: wolf,X1: grain] : ~ eats(wolf_to_animal(X0),plant_to_edible(grain_to_plant(X1))),
inference(cnf_transformation,[],[f7]) ).
tff(f27,plain,
! [X0: bird,X1: snail] : ~ eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1))),
inference(cnf_transformation,[],[f9]) ).
tff(f29,plain,
! [X0: snail] : eats(snail_to_animal(X0),plant_to_edible(sK1(X0))),
inference(cnf_transformation,[],[f18]) ).
tff(f30,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,[],[f16]) ).
tff(f32,plain,
! [X2: plant,X0: animal,X1: snail] :
( ~ much_smaller(snail_to_animal(X1),X0)
| eats(X0,animal_to_edible(snail_to_animal(X1)))
| eats(X0,plant_to_edible(X2)) ),
inference(resolution,[],[f19,f29]) ).
tff(f34,plain,
! [X2: plant,X0: bird,X1: snail] :
( eats(bird_to_animal(X0),animal_to_edible(snail_to_animal(X1)))
| eats(bird_to_animal(X0),plant_to_edible(X2)) ),
inference(resolution,[],[f32,f20]) ).
tff(f35,plain,
! [X2: plant,X0: bird] : eats(bird_to_animal(X0),plant_to_edible(X2)),
inference(forward_subsumption_resolution,[],[f34,f27]) ).
tff(f36,plain,
! [X0: animal,X1: bird] : ~ eats(X0,animal_to_edible(bird_to_animal(X1))),
inference(resolution,[],[f35,f30]) ).
tff(f37,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,[],[f35,f19]) ).
tff(f38,plain,
! [X2: plant,X0: animal,X1: bird] :
( ~ much_smaller(bird_to_animal(X1),X0)
| eats(X0,plant_to_edible(X2)) ),
inference(forward_subsumption_resolution,[],[f37,f36]) ).
tff(f39,plain,
! [X0: fox,X1: plant] : eats(fox_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f38,f22]) ).
tff(f40,plain,
! [X0: animal,X1: fox] : ~ eats(X0,animal_to_edible(fox_to_animal(X1))),
inference(resolution,[],[f39,f30]) ).
tff(f41,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,[],[f39,f19]) ).
tff(f42,plain,
! [X2: plant,X0: animal,X1: fox] :
( ~ much_smaller(fox_to_animal(X1),X0)
| eats(X0,plant_to_edible(X2)) ),
inference(forward_subsumption_resolution,[],[f41,f40]) ).
tff(f43,plain,
! [X0: wolf,X1: plant] : eats(wolf_to_animal(X0),plant_to_edible(X1)),
inference(resolution,[],[f42,f23]) ).
tff(f44,plain,
$false,
inference(resolution,[],[f43,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 22:34:07 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 Running first-order model finding
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.44 % (3944792)Will run a generic schedule for satisfiability detection.
% 0.10/0.44 % (3944800)dis+10_1_sil=32000:sp=arity:random_seed=4076648498:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.44 % (3944800) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3944792-3944800"...
% 0.10/0.44 % (3944800)...printing done.
% 0.10/0.44 % (3944800)Refutation found. Thanks to Tanya!
% 0.10/0.44 % SZS status Theorem for theBenchmark
% 0.10/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.44 % (3944800)------------------------------
% 0.10/0.44 % (3944800)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.44 % (3944800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.44 % (3944800)CaDiCaL version: 2.1.3
% 0.10/0.44 % (3944800)Termination reason: Refutation
% 0.10/0.44 % (3944800)Time elapsed: 0.001 s
% 0.10/0.44 % (3944800)Peak memory usage: 11 MB
% 0.10/0.44 % (3944800)Instructions burned: 2 (million)
% 0.10/0.44 % (3944792)Success in time 0.032 s
% 0.10/0.44 % Vampire exiting
%------------------------------------------------------------------------------