TSTP Solution File: PUZ031-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---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_uns --cores 0 -t %d %s

% Computer : n011.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 18:10:46 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% 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 :  291 ( 143   ~; 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(f153,plain,
    $false,
    inference(resolution,[],[f152,f6]) ).

fof(f6,axiom,
    wolf(a_wolf),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_wolf) ).

fof(f152,plain,
    ! [X4] : ~ wolf(X4),
    inference(subsumption_resolution,[],[f151,f37]) ).

fof(f37,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)
      | ~ wolf(X9)
      | ~ eats(X9,X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).

fof(f151,plain,
    ! [X4] :
      ( ~ wolf(X4)
      | eats(X4,a_grain) ),
    inference(resolution,[],[f143,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(f143,plain,
    ! [X3,X4] :
      ( ~ plant(X4)
      | eats(X3,X4)
      | ~ wolf(X3) ),
    inference(subsumption_resolution,[],[f142,f33]) ).

fof(f142,plain,
    ! [X3,X4] :
      ( ~ wolf(X3)
      | ~ plant(X4)
      | eats(X3,X4)
      | ~ plant(a_grain) ),
    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,
    ! [X3,X4] :
      ( eats(X3,X4)
      | ~ fox(a_fox)
      | ~ plant(a_grain)
      | ~ wolf(X3)
      | ~ plant(X4) ),
    inference(resolution,[],[f135,f54]) ).

fof(f54,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eats(X1,X3)
      | ~ plant(X3)
      | eats(X0,X2)
      | ~ fox(X1)
      | ~ wolf(X0)
      | ~ plant(X2) ),
    inference(subsumption_resolution,[],[f53,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(f53,plain,
    ! [X2,X3,X0,X1] :
      ( ~ fox(X1)
      | eats(X0,X2)
      | ~ plant(X3)
      | ~ eats(X1,X3)
      | ~ wolf(X0)
      | ~ plant(X2)
      | eats(X0,X1) ),
    inference(subsumption_resolution,[],[f52,f2]) ).

fof(f2,axiom,
    ! [X0] :
      ( ~ fox(X0)
      | animal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_is_an_animal) ).

fof(f52,plain,
    ! [X2,X3,X0,X1] :
      ( ~ eats(X1,X3)
      | ~ plant(X2)
      | eats(X0,X1)
      | ~ animal(X1)
      | ~ fox(X1)
      | ~ wolf(X0)
      | ~ plant(X3)
      | eats(X0,X2) ),
    inference(subsumption_resolution,[],[f43,f1]) ).

fof(f1,axiom,
    ! [X0] :
      ( ~ wolf(X0)
      | animal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_is_an_animal) ).

fof(f43,plain,
    ! [X2,X3,X0,X1] :
      ( ~ fox(X1)
      | ~ eats(X1,X3)
      | eats(X0,X2)
      | ~ wolf(X0)
      | ~ plant(X2)
      | ~ animal(X0)
      | ~ plant(X3)
      | ~ animal(X1)
      | eats(X0,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)
      | ~ animal(X1)
      | ~ animal(X3)
      | eats(X1,X2)
      | ~ plant(X4)
      | ~ eats(X3,X4)
      | eats(X1,X3)
      | ~ plant(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eating_habits) ).

fof(f135,plain,
    eats(a_fox,a_grain),
    inference(subsumption_resolution,[],[f134,f88]) ).

fof(f88,plain,
    ~ eats(a_fox,a_bird),
    inference(resolution,[],[f83,f29]) ).

fof(f29,plain,
    animal(a_fox),
    inference(resolution,[],[f2,f7]) ).

fof(f83,plain,
    ! [X0] :
      ( ~ animal(X0)
      | ~ eats(X0,a_bird) ),
    inference(subsumption_resolution,[],[f79,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(f79,plain,
    ! [X0] :
      ( ~ eats(X0,a_bird)
      | ~ animal(X0)
      | ~ animal(a_bird) ),
    inference(resolution,[],[f78,f27]) ).

fof(f27,plain,
    ! [X0,X1] :
      ( ~ eats(X0,a_grain)
      | ~ eats(X1,X0)
      | ~ animal(X0)
      | ~ animal(X1) ),
    inference(resolution,[],[f11,f26]) ).

fof(f26,axiom,
    ! [X10,X11,X1] :
      ( ~ grain(X10)
      | ~ animal(X11)
      | ~ eats(X11,X10)
      | ~ eats(X1,X11)
      | ~ animal(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_the_animal_exists) ).

fof(f78,plain,
    eats(a_bird,a_grain),
    inference(resolution,[],[f77,f8]) ).

fof(f77,plain,
    ! [X4] :
      ( ~ bird(X4)
      | eats(X4,a_grain) ),
    inference(resolution,[],[f68,f33]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( ~ plant(X1)
      | ~ bird(X0)
      | eats(X0,X1) ),
    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] :
      ( ~ snail(a_snail)
      | ~ plant(X1)
      | eats(X0,X1)
      | ~ bird(X0) ),
    inference(resolution,[],[f59,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(f59,plain,
    ! [X2,X3] :
      ( ~ plant(snail_food_of(a_snail))
      | eats(X2,X3)
      | ~ bird(X2)
      | ~ plant(X3) ),
    inference(subsumption_resolution,[],[f57,f10]) ).

fof(f57,plain,
    ! [X2,X3] :
      ( eats(X2,X3)
      | ~ plant(X3)
      | ~ bird(X2)
      | ~ plant(snail_food_of(a_snail))
      | ~ snail(a_snail) ),
    inference(resolution,[],[f49,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(f49,plain,
    ! [X10,X11,X8,X9] :
      ( ~ eats(X9,X11)
      | eats(X8,X10)
      | ~ plant(X10)
      | ~ bird(X8)
      | ~ plant(X11)
      | ~ snail(X9) ),
    inference(subsumption_resolution,[],[f48,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(f48,plain,
    ! [X10,X11,X8,X9] :
      ( ~ eats(X9,X11)
      | eats(X8,X10)
      | ~ plant(X11)
      | eats(X8,X9)
      | ~ snail(X9)
      | ~ bird(X8)
      | ~ plant(X10) ),
    inference(subsumption_resolution,[],[f47,f3]) ).

fof(f47,plain,
    ! [X10,X11,X8,X9] :
      ( ~ plant(X11)
      | eats(X8,X9)
      | ~ eats(X9,X11)
      | ~ plant(X10)
      | ~ snail(X9)
      | eats(X8,X10)
      | ~ bird(X8)
      | ~ animal(X8) ),
    inference(subsumption_resolution,[],[f45,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ snail(X0)
      | animal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_is_an_animal) ).

fof(f45,plain,
    ! [X10,X11,X8,X9] :
      ( ~ animal(X9)
      | ~ eats(X9,X11)
      | ~ animal(X8)
      | ~ bird(X8)
      | ~ plant(X11)
      | eats(X8,X9)
      | ~ plant(X10)
      | eats(X8,X10)
      | ~ snail(X9) ),
    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(f134,plain,
    ( eats(a_fox,a_grain)
    | eats(a_fox,a_bird) ),
    inference(resolution,[],[f132,f7]) ).

fof(f132,plain,
    ! [X4] :
      ( ~ fox(X4)
      | eats(X4,a_bird)
      | eats(X4,a_grain) ),
    inference(resolution,[],[f85,f33]) ).

fof(f85,plain,
    ! [X2,X1] :
      ( ~ plant(X1)
      | eats(X2,a_bird)
      | eats(X2,X1)
      | ~ fox(X2) ),
    inference(subsumption_resolution,[],[f84,f8]) ).

fof(f84,plain,
    ! [X2,X1] :
      ( ~ fox(X2)
      | eats(X2,X1)
      | ~ plant(X1)
      | ~ bird(a_bird)
      | eats(X2,a_bird) ),
    inference(subsumption_resolution,[],[f80,f33]) ).

fof(f80,plain,
    ! [X2,X1] :
      ( eats(X2,a_bird)
      | ~ plant(a_grain)
      | ~ bird(a_bird)
      | ~ plant(X1)
      | ~ fox(X2)
      | eats(X2,X1) ),
    inference(resolution,[],[f78,f51]) ).

fof(f51,plain,
    ! [X6,X7,X4,X5] :
      ( ~ eats(X5,X7)
      | ~ plant(X6)
      | ~ bird(X5)
      | eats(X4,X5)
      | ~ plant(X7)
      | ~ fox(X4)
      | eats(X4,X6) ),
    inference(subsumption_resolution,[],[f50,f2]) ).

fof(f50,plain,
    ! [X6,X7,X4,X5] :
      ( eats(X4,X5)
      | ~ eats(X5,X7)
      | ~ animal(X4)
      | ~ plant(X7)
      | eats(X4,X6)
      | ~ fox(X4)
      | ~ bird(X5)
      | ~ plant(X6) ),
    inference(subsumption_resolution,[],[f44,f3]) ).

fof(f44,plain,
    ! [X6,X7,X4,X5] :
      ( eats(X4,X6)
      | ~ eats(X5,X7)
      | ~ plant(X6)
      | ~ animal(X5)
      | ~ fox(X4)
      | ~ plant(X7)
      | ~ animal(X4)
      | eats(X4,X5)
      | ~ bird(X5) ),
    inference(resolution,[],[f13,f16]) ).

fof(f16,axiom,
    ! [X8,X6] :
      ( much_smaller(X6,X8)
      | ~ fox(X8)
      | ~ bird(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_smaller_than_fox) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : PUZ031-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.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 10:37:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (29336)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (29328)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51  % (29336)Refutation not found, incomplete strategy% (29336)------------------------------
% 0.19/0.51  % (29336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29336)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.51  
% 0.19/0.51  % (29336)Memory used [KB]: 5884
% 0.19/0.51  % (29336)Time elapsed: 0.057 s
% 0.19/0.51  % (29336)Instructions burned: 2 (million)
% 0.19/0.51  % (29336)------------------------------
% 0.19/0.51  % (29336)------------------------------
% 0.19/0.51  % (29320)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (29326)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.52  % (29320)First to succeed.
% 0.19/0.52  % (29342)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.52  % (29320)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (29320)------------------------------
% 0.19/0.52  % (29320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29320)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (29320)Memory used [KB]: 1407
% 0.19/0.52  % (29320)Time elapsed: 0.077 s
% 0.19/0.52  % (29320)Instructions burned: 8 (million)
% 0.19/0.52  % (29320)------------------------------
% 0.19/0.52  % (29320)------------------------------
% 0.19/0.52  % (29313)Success in time 0.175 s
%------------------------------------------------------------------------------