TSTP Solution File: PUZ031-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n015.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 : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 58 ( 14 unt; 0 def)
% Number of atoms : 206 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 294 ( 146 ~; 148 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 99 ( 99 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f155,plain,
$false,
inference(resolution,[],[f151,f6]) ).
fof(f6,axiom,
wolf(a_wolf),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_wolf) ).
fof(f151,plain,
! [X4] : ~ wolf(X4),
inference(subsumption_resolution,[],[f150,f38]) ).
fof(f38,plain,
! [X0] :
( ~ wolf(X0)
| ~ eats(X0,a_grain) ),
inference(resolution,[],[f19,f11]) ).
fof(f11,axiom,
grain(a_grain),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_grain) ).
fof(f19,axiom,
! [X10,X9] :
( ~ grain(X10)
| ~ eats(X9,X10)
| ~ wolf(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).
fof(f150,plain,
! [X4] :
( ~ wolf(X4)
| eats(X4,a_grain) ),
inference(resolution,[],[f142,f33]) ).
fof(f33,plain,
plant(a_grain),
inference(resolution,[],[f12,f11]) ).
fof(f12,axiom,
! [X0] :
( ~ grain(X0)
| plant(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',grain_is_a_plant) ).
fof(f142,plain,
! [X6,X5] :
( ~ plant(X6)
| ~ wolf(X5)
| eats(X5,X6) ),
inference(subsumption_resolution,[],[f141,f33]) ).
fof(f141,plain,
! [X6,X5] :
( ~ plant(X6)
| ~ plant(a_grain)
| ~ wolf(X5)
| eats(X5,X6) ),
inference(subsumption_resolution,[],[f138,f7]) ).
fof(f7,axiom,
fox(a_fox),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_fox) ).
fof(f138,plain,
! [X6,X5] :
( eats(X5,X6)
| ~ fox(a_fox)
| ~ plant(a_grain)
| ~ plant(X6)
| ~ wolf(X5) ),
inference(resolution,[],[f134,f50]) ).
fof(f50,plain,
! [X2,X3,X0,X1] :
( ~ eats(X1,X3)
| ~ plant(X3)
| ~ wolf(X2)
| ~ fox(X1)
| eats(X2,X0)
| ~ plant(X0) ),
inference(subsumption_resolution,[],[f49,f1]) ).
fof(f1,axiom,
! [X0] :
( ~ wolf(X0)
| animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_an_animal) ).
fof(f49,plain,
! [X2,X3,X0,X1] :
( ~ plant(X3)
| ~ animal(X2)
| eats(X2,X0)
| ~ fox(X1)
| ~ plant(X0)
| ~ wolf(X2)
| ~ eats(X1,X3) ),
inference(subsumption_resolution,[],[f48,f18]) ).
fof(f18,axiom,
! [X8,X9] :
( ~ fox(X8)
| ~ wolf(X9)
| ~ eats(X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( eats(X2,X1)
| ~ animal(X2)
| ~ wolf(X2)
| ~ fox(X1)
| ~ plant(X0)
| eats(X2,X0)
| ~ eats(X1,X3)
| ~ plant(X3) ),
inference(subsumption_resolution,[],[f42,f2]) ).
fof(f2,axiom,
! [X0] :
( ~ fox(X0)
| animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_an_animal) ).
fof(f42,plain,
! [X2,X3,X0,X1] :
( eats(X2,X0)
| ~ wolf(X2)
| eats(X2,X1)
| ~ eats(X1,X3)
| ~ animal(X1)
| ~ animal(X2)
| ~ plant(X3)
| ~ plant(X0)
| ~ fox(X1) ),
inference(resolution,[],[f13,f17]) ).
fof(f17,axiom,
! [X8,X9] :
( much_smaller(X8,X9)
| ~ wolf(X9)
| ~ fox(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).
fof(f13,axiom,
! [X2,X3,X1,X4] :
( ~ much_smaller(X3,X1)
| ~ plant(X2)
| ~ animal(X3)
| ~ animal(X1)
| eats(X1,X2)
| eats(X1,X3)
| ~ eats(X3,X4)
| ~ plant(X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eating_habits) ).
fof(f134,plain,
eats(a_fox,a_grain),
inference(subsumption_resolution,[],[f133,f82]) ).
fof(f82,plain,
~ eats(a_fox,a_bird),
inference(resolution,[],[f77,f29]) ).
fof(f29,plain,
animal(a_fox),
inference(resolution,[],[f2,f7]) ).
fof(f77,plain,
! [X0] :
( ~ animal(X0)
| ~ eats(X0,a_bird) ),
inference(subsumption_resolution,[],[f73,f30]) ).
fof(f30,plain,
animal(a_bird),
inference(resolution,[],[f3,f8]) ).
fof(f8,axiom,
bird(a_bird),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_bird) ).
fof(f3,axiom,
! [X0] :
( ~ bird(X0)
| animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_an_animal) ).
fof(f73,plain,
! [X0] :
( ~ animal(X0)
| ~ eats(X0,a_bird)
| ~ animal(a_bird) ),
inference(resolution,[],[f72,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ eats(X1,a_grain)
| ~ eats(X0,X1)
| ~ animal(X0)
| ~ animal(X1) ),
inference(resolution,[],[f11,f26]) ).
fof(f26,axiom,
! [X10,X11,X1] :
( ~ grain(X10)
| ~ eats(X1,X11)
| ~ animal(X1)
| ~ animal(X11)
| ~ eats(X11,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_animal_exists) ).
fof(f72,plain,
eats(a_bird,a_grain),
inference(resolution,[],[f71,f8]) ).
fof(f71,plain,
! [X4] :
( ~ bird(X4)
| eats(X4,a_grain) ),
inference(resolution,[],[f68,f33]) ).
fof(f68,plain,
! [X0,X1] :
( ~ plant(X1)
| eats(X0,X1)
| ~ bird(X0) ),
inference(subsumption_resolution,[],[f67,f10]) ).
fof(f10,axiom,
snail(a_snail),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_snail) ).
fof(f67,plain,
! [X0,X1] :
( eats(X0,X1)
| ~ snail(a_snail)
| ~ bird(X0)
| ~ plant(X1) ),
inference(resolution,[],[f62,f24]) ).
fof(f24,axiom,
! [X7] :
( plant(snail_food_of(X7))
| ~ snail(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_food_is_a_plant) ).
fof(f62,plain,
! [X2,X3] :
( ~ plant(snail_food_of(a_snail))
| ~ bird(X3)
| eats(X3,X2)
| ~ plant(X2) ),
inference(subsumption_resolution,[],[f60,f10]) ).
fof(f60,plain,
! [X2,X3] :
( ~ bird(X3)
| ~ snail(a_snail)
| ~ plant(X2)
| ~ plant(snail_food_of(a_snail))
| eats(X3,X2) ),
inference(resolution,[],[f53,f35]) ).
fof(f35,plain,
eats(a_snail,snail_food_of(a_snail)),
inference(resolution,[],[f25,f10]) ).
fof(f25,axiom,
! [X7] :
( ~ snail(X7)
| eats(X7,snail_food_of(X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_eats_snail_food) ).
fof(f53,plain,
! [X10,X11,X8,X9] :
( ~ eats(X9,X11)
| ~ plant(X11)
| ~ plant(X8)
| ~ snail(X9)
| eats(X10,X8)
| ~ bird(X10) ),
inference(subsumption_resolution,[],[f52,f3]) ).
fof(f52,plain,
! [X10,X11,X8,X9] :
( ~ animal(X10)
| ~ plant(X8)
| eats(X10,X8)
| ~ plant(X11)
| ~ bird(X10)
| ~ snail(X9)
| ~ eats(X9,X11) ),
inference(subsumption_resolution,[],[f51,f5]) ).
fof(f5,axiom,
! [X0] :
( ~ snail(X0)
| animal(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_an_animal) ).
fof(f51,plain,
! [X10,X11,X8,X9] :
( ~ bird(X10)
| eats(X10,X8)
| ~ animal(X9)
| ~ snail(X9)
| ~ animal(X10)
| ~ plant(X11)
| ~ plant(X8)
| ~ eats(X9,X11) ),
inference(subsumption_resolution,[],[f44,f21]) ).
fof(f21,axiom,
! [X6,X7] :
( ~ snail(X7)
| ~ eats(X6,X7)
| ~ bird(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_dont_eat_snail) ).
fof(f44,plain,
! [X10,X11,X8,X9] :
( ~ animal(X9)
| ~ plant(X11)
| ~ snail(X9)
| eats(X10,X9)
| ~ animal(X10)
| ~ bird(X10)
| ~ eats(X9,X11)
| eats(X10,X8)
| ~ plant(X8) ),
inference(resolution,[],[f13,f15]) ).
fof(f15,axiom,
! [X6,X7] :
( much_smaller(X7,X6)
| ~ snail(X7)
| ~ bird(X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_smaller_than_bird) ).
fof(f133,plain,
( eats(a_fox,a_grain)
| eats(a_fox,a_bird) ),
inference(resolution,[],[f132,f7]) ).
fof(f132,plain,
! [X4] :
( ~ fox(X4)
| eats(X4,a_grain)
| eats(X4,a_bird) ),
inference(resolution,[],[f79,f33]) ).
fof(f79,plain,
! [X2,X1] :
( ~ plant(X2)
| ~ fox(X1)
| eats(X1,X2)
| eats(X1,a_bird) ),
inference(subsumption_resolution,[],[f78,f8]) ).
fof(f78,plain,
! [X2,X1] :
( ~ plant(X2)
| ~ bird(a_bird)
| ~ fox(X1)
| eats(X1,a_bird)
| eats(X1,X2) ),
inference(subsumption_resolution,[],[f74,f33]) ).
fof(f74,plain,
! [X2,X1] :
( ~ fox(X1)
| ~ plant(a_grain)
| ~ plant(X2)
| ~ bird(a_bird)
| eats(X1,a_bird)
| eats(X1,X2) ),
inference(resolution,[],[f72,f47]) ).
fof(f47,plain,
! [X6,X7,X4,X5] :
( ~ eats(X5,X7)
| eats(X6,X5)
| ~ fox(X6)
| eats(X6,X4)
| ~ plant(X4)
| ~ plant(X7)
| ~ bird(X5) ),
inference(subsumption_resolution,[],[f46,f2]) ).
fof(f46,plain,
! [X6,X7,X4,X5] :
( ~ plant(X4)
| ~ fox(X6)
| eats(X6,X4)
| ~ eats(X5,X7)
| ~ plant(X7)
| eats(X6,X5)
| ~ bird(X5)
| ~ animal(X6) ),
inference(subsumption_resolution,[],[f43,f3]) ).
fof(f43,plain,
! [X6,X7,X4,X5] :
( ~ fox(X6)
| eats(X6,X4)
| ~ plant(X7)
| ~ plant(X4)
| eats(X6,X5)
| ~ bird(X5)
| ~ animal(X6)
| ~ animal(X5)
| ~ eats(X5,X7) ),
inference(resolution,[],[f13,f16]) ).
fof(f16,axiom,
! [X8,X6] :
( much_smaller(X6,X8)
| ~ bird(X6)
| ~ fox(X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_smaller_than_fox) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:51:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (27258)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.49 % (27242)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49 TRYING [1]
% 0.19/0.49 TRYING [2]
% 0.19/0.49 TRYING [3]
% 0.19/0.49 % (27258)First to succeed.
% 0.19/0.49 TRYING [4]
% 0.19/0.50 TRYING [5]
% 0.19/0.50 % (27258)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (27258)------------------------------
% 0.19/0.50 % (27258)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (27258)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (27258)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (27258)Memory used [KB]: 1023
% 0.19/0.50 % (27258)Time elapsed: 0.051 s
% 0.19/0.50 % (27258)Instructions burned: 8 (million)
% 0.19/0.50 % (27258)------------------------------
% 0.19/0.50 % (27258)------------------------------
% 0.19/0.50 % (27235)Success in time 0.151 s
%------------------------------------------------------------------------------