%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n015.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 12:31:17 PM UTC 2026
% Result : Theorem 3.57s 1.45s
% Output : Refutation 3.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 34 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 72 ( 38 ~; 30 |; 3 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 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 : 88 ( 80 !; 8 ?; 88 :)
% 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(f6,axiom,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel47_11) ).
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(X0,plant_to_edible(X1))
| eats(X0,animal_to_edible(X2))
| ~ much_smaller(X2,X0)
| ~ eats(X2,plant_to_edible(X3)) ),
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(f24,plain,
! [X0: wolf,X1: fox] : ~ eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1))),
inference(cnf_transformation,[],[f6]) ).
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(f31,plain,
! [X2: plant,X3: animal,X0: animal,X1: animal] :
( ~ eats(X3,animal_to_edible(X0))
| ~ much_smaller(X1,X0)
| ~ eats(X1,plant_to_edible(X2))
| eats(X0,animal_to_edible(X1)) ),
inference(resolution,[],[f19,f30]) ).
tff(f32,plain,
! [X2: plant,X0: wolf,X1: animal] :
( ~ much_smaller(X1,wolf_to_animal(X0))
| eats(wolf_to_animal(X0),animal_to_edible(X1))
| ~ eats(X1,plant_to_edible(X2)) ),
inference(resolution,[],[f19,f25]) ).
tff(f34,plain,
! [X2: plant,X0: wolf,X1: fox] :
( eats(wolf_to_animal(X0),animal_to_edible(fox_to_animal(X1)))
| ~ eats(fox_to_animal(X1),plant_to_edible(X2)) ),
inference(resolution,[],[f32,f23]) ).
tff(f35,plain,
! [X2: plant,X1: fox] : ~ eats(fox_to_animal(X1),plant_to_edible(X2)),
inference(forward_subsumption_resolution,[],[f34,f24]) ).
tff(f36,plain,
! [X2: plant,X0: fox,X1: animal] :
( eats(fox_to_animal(X0),animal_to_edible(X1))
| ~ much_smaller(X1,fox_to_animal(X0))
| ~ eats(X1,plant_to_edible(X2)) ),
inference(resolution,[],[f35,f19]) ).
tff(f37,plain,
! [X2: plant,X3: animal,X0: animal,X1: fox,X4: plant] :
( ~ much_smaller(X0,fox_to_animal(X1))
| ~ eats(X0,plant_to_edible(X2))
| ~ much_smaller(X3,X0)
| ~ eats(X3,plant_to_edible(X4))
| eats(X0,animal_to_edible(X3)) ),
inference(resolution,[],[f36,f31]) ).
tff(f38,plain,
! [X3: animal,X0: animal,X1: fox,X4: plant] :
( ~ much_smaller(X0,fox_to_animal(X1))
| ~ much_smaller(X3,X0)
| ~ eats(X3,plant_to_edible(X4))
| eats(X0,animal_to_edible(X3)) ),
inference(forward_subsumption_resolution,[],[f37,f19]) ).
tff(f39,plain,
! [X2: plant,X0: animal,X1: bird] :
( eats(bird_to_animal(X1),animal_to_edible(X0))
| ~ eats(X0,plant_to_edible(X2))
| ~ much_smaller(X0,bird_to_animal(X1)) ),
inference(resolution,[],[f38,f22]) ).
tff(f41,plain,
! [X2: bird,X0: snail,X1: plant] :
( ~ eats(snail_to_animal(X0),plant_to_edible(X1))
| ~ much_smaller(snail_to_animal(X0),bird_to_animal(X2)) ),
inference(resolution,[],[f39,f27]) ).
tff(f44,plain,
! [X0: snail,X1: plant] : ~ eats(snail_to_animal(X0),plant_to_edible(X1)),
inference(forward_subsumption_resolution,[],[f41,f20]) ).
tff(f45,plain,
$false,
inference(resolution,[],[f44,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ031_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n015.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 22:37:30 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.57/1.45 % (2081842)Detected formulas, will run a generic FOF schedule.
% 3.57/1.45 % (2081851)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1514824427:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.57/1.45 % (2081851)Refutation not found, incomplete strategy
% 3.57/1.45 % (2081851)------------------------------
% 3.57/1.45 % (2081851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2081851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2081851)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2081851)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.45 % (2081851)Time elapsed: 0.001 s
% 3.57/1.45 % (2081851)Peak memory usage: 87 MB
% 3.57/1.45 % (2081852)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1691609604:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.57/1.45 % (2081853)dis-21_1_sil=8000:lcm=predicate:random_seed=632442306:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.57/1.45 % (2081850)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2677189329:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.57/1.45 % (2081847)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=516834760:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.57/1.45 % (2081848)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=43296481:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.57/1.45 % (2081849)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1660084713:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.57/1.45 % (2081852)First to succeed.
% 3.57/1.45 % (2081850)Refutation not found, incomplete strategy
% 3.57/1.45 % (2081850)------------------------------
% 3.57/1.45 % (2081850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2081850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2081850)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2081850)Termination reason: Refutation not found, incomplete strategy
% 3.57/1.45 % (2081850)Time elapsed: 0.0000 s
% 3.57/1.45 % (2081850)Peak memory usage: 87 MB
% 3.57/1.45 % (2081853)Also succeeded, but the first one will report.
% 3.57/1.45 % (2081852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2081842"
% 3.57/1.45 % (2081851)------------------------------
% 3.57/1.45 % (2081851)------------------------------
% 3.57/1.45 % (2081861)lrs+10_1_sil=8000:sp=occurrence:random_seed=3931872817:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.57/1.45 % (2081861)Also succeeded, but the first one will report.
% 3.57/1.45 % (2081850)------------------------------
% 3.57/1.45 % (2081850)------------------------------
% 3.57/1.45 % (2081852)Refutation found. Thanks to Tanya!
% 3.57/1.45 % SZS status Theorem for theBenchmark
% 3.57/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.57/1.45 % (2081852)------------------------------
% 3.57/1.45 % (2081852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.57/1.45 % (2081852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.57/1.45 % (2081852)CaDiCaL version: 2.1.3
% 3.57/1.45 % (2081852)Termination reason: Refutation
% 3.57/1.45 % (2081852)Time elapsed: 0.003 s
% 3.57/1.45 % (2081852)Peak memory usage: 88 MB
% 3.57/1.45 % (2081852)Instructions burned: 2 (million)
% 3.57/1.45 % (2081852)------------------------------
% 3.57/1.45 % (2081852)------------------------------
% 3.57/1.45 % (2081842)Success in time 0.42 s
% 3.57/1.45 % Vampire exiting
%------------------------------------------------------------------------------