TSTP Solution File: PUZ031-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n020.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 : Sun May  5 08:49:40 EDT 2024

% Result   : Unsatisfiable 0.21s 0.38s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   68 (  18 unt;   0 def)
%            Number of atoms       :  200 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  235 ( 103   ~; 132   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 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   :   56 (  56   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f181,plain,
    $false,
    inference(subsumption_resolution,[],[f180,f6]) ).

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

fof(f180,plain,
    ~ wolf(a_wolf),
    inference(subsumption_resolution,[],[f176,f7]) ).

fof(f7,axiom,
    fox(a_fox),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_fox) ).

fof(f176,plain,
    ( ~ fox(a_fox)
    | ~ wolf(a_wolf) ),
    inference(resolution,[],[f169,f18]) ).

fof(f18,axiom,
    ! [X8,X9] :
      ( ~ eats(X9,X8)
      | ~ fox(X8)
      | ~ wolf(X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_fox) ).

fof(f169,plain,
    eats(a_wolf,a_fox),
    inference(subsumption_resolution,[],[f168,f11]) ).

fof(f11,axiom,
    grain(a_grain),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_grain) ).

fof(f168,plain,
    ( eats(a_wolf,a_fox)
    | ~ grain(a_grain) ),
    inference(subsumption_resolution,[],[f165,f6]) ).

fof(f165,plain,
    ( eats(a_wolf,a_fox)
    | ~ wolf(a_wolf)
    | ~ grain(a_grain) ),
    inference(resolution,[],[f162,f19]) ).

fof(f19,axiom,
    ! [X10,X9] :
      ( ~ eats(X9,X10)
      | ~ wolf(X9)
      | ~ grain(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wolf_dont_eat_grain) ).

fof(f162,plain,
    ( eats(a_wolf,a_grain)
    | eats(a_wolf,a_fox) ),
    inference(subsumption_resolution,[],[f161,f10]) ).

fof(f10,axiom,
    snail(a_snail),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_snail) ).

fof(f161,plain,
    ( eats(a_wolf,a_fox)
    | eats(a_wolf,a_grain)
    | ~ snail(a_snail) ),
    inference(subsumption_resolution,[],[f156,f8]) ).

fof(f8,axiom,
    bird(a_bird),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',there_is_a_bird) ).

fof(f156,plain,
    ( eats(a_wolf,a_fox)
    | eats(a_wolf,a_grain)
    | ~ bird(a_bird)
    | ~ snail(a_snail) ),
    inference(resolution,[],[f151,f21]) ).

fof(f21,axiom,
    ! [X6,X7] :
      ( ~ eats(X6,X7)
      | ~ bird(X6)
      | ~ snail(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_dont_eat_snail) ).

fof(f151,plain,
    ( eats(a_bird,a_snail)
    | eats(a_wolf,a_fox)
    | eats(a_wolf,a_grain) ),
    inference(subsumption_resolution,[],[f144,f28]) ).

fof(f28,plain,
    animal(a_fox),
    inference(resolution,[],[f2,f7]) ).

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

fof(f144,plain,
    ( eats(a_wolf,a_grain)
    | eats(a_wolf,a_fox)
    | ~ animal(a_fox)
    | eats(a_bird,a_snail) ),
    inference(resolution,[],[f140,f87]) ).

fof(f87,plain,
    ! [X0] :
      ( ~ eats(X0,a_bird)
      | ~ animal(X0)
      | eats(a_bird,a_snail) ),
    inference(subsumption_resolution,[],[f86,f11]) ).

fof(f86,plain,
    ! [X0] :
      ( eats(a_bird,a_snail)
      | ~ animal(X0)
      | ~ grain(a_grain)
      | ~ eats(X0,a_bird) ),
    inference(subsumption_resolution,[],[f83,f29]) ).

fof(f29,plain,
    animal(a_bird),
    inference(resolution,[],[f3,f8]) ).

fof(f3,axiom,
    ! [X0] :
      ( ~ bird(X0)
      | animal(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bird_is_an_animal) ).

fof(f83,plain,
    ! [X0] :
      ( eats(a_bird,a_snail)
      | ~ animal(X0)
      | ~ animal(a_bird)
      | ~ grain(a_grain)
      | ~ eats(X0,a_bird) ),
    inference(resolution,[],[f77,f26]) ).

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

fof(f77,plain,
    ( eats(a_bird,a_grain)
    | eats(a_bird,a_snail) ),
    inference(resolution,[],[f76,f32]) ).

fof(f32,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(f76,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(a_bird,a_snail)
      | eats(a_bird,X0) ),
    inference(subsumption_resolution,[],[f75,f34]) ).

fof(f34,plain,
    plant(snail_food_of(a_snail)),
    inference(resolution,[],[f24,f10]) ).

fof(f24,axiom,
    ! [X7] :
      ( ~ snail(X7)
      | plant(snail_food_of(X7)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_food_is_a_plant) ).

fof(f75,plain,
    ! [X0] :
      ( ~ plant(snail_food_of(a_snail))
      | ~ plant(X0)
      | eats(a_bird,a_snail)
      | eats(a_bird,X0) ),
    inference(resolution,[],[f70,f38]) ).

fof(f38,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(f70,plain,
    ! [X0,X1] :
      ( ~ eats(a_snail,X1)
      | ~ plant(X1)
      | ~ plant(X0)
      | eats(a_bird,a_snail)
      | eats(a_bird,X0) ),
    inference(subsumption_resolution,[],[f69,f31]) ).

fof(f31,plain,
    animal(a_snail),
    inference(resolution,[],[f5,f10]) ).

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

fof(f69,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_snail)
      | ~ plant(X1)
      | ~ eats(a_snail,X1)
      | eats(a_bird,a_snail)
      | eats(a_bird,X0) ),
    inference(subsumption_resolution,[],[f66,f29]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_bird)
      | ~ animal(a_snail)
      | ~ plant(X1)
      | ~ eats(a_snail,X1)
      | eats(a_bird,a_snail)
      | eats(a_bird,X0) ),
    inference(resolution,[],[f13,f44]) ).

fof(f44,plain,
    much_smaller(a_snail,a_bird),
    inference(resolution,[],[f43,f8]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ bird(X0)
      | much_smaller(a_snail,X0) ),
    inference(resolution,[],[f15,f10]) ).

fof(f15,axiom,
    ! [X6,X7] :
      ( ~ snail(X7)
      | ~ bird(X6)
      | much_smaller(X7,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',snail_smaller_than_bird) ).

fof(f13,axiom,
    ! [X2,X3,X1,X4] :
      ( ~ much_smaller(X3,X1)
      | ~ plant(X2)
      | ~ animal(X1)
      | ~ animal(X3)
      | ~ plant(X4)
      | ~ eats(X3,X4)
      | eats(X1,X3)
      | eats(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eating_habits) ).

fof(f140,plain,
    ( eats(a_fox,a_bird)
    | eats(a_wolf,a_grain)
    | eats(a_wolf,a_fox) ),
    inference(resolution,[],[f137,f32]) ).

fof(f137,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(a_wolf,a_fox)
      | eats(a_wolf,X0)
      | eats(a_fox,a_bird) ),
    inference(subsumption_resolution,[],[f134,f32]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ plant(a_grain)
      | ~ plant(X0)
      | eats(a_wolf,a_fox)
      | eats(a_wolf,X0)
      | eats(a_fox,a_bird) ),
    inference(resolution,[],[f74,f117]) ).

fof(f117,plain,
    ( eats(a_fox,a_grain)
    | eats(a_fox,a_bird) ),
    inference(subsumption_resolution,[],[f116,f10]) ).

fof(f116,plain,
    ( eats(a_fox,a_grain)
    | eats(a_fox,a_bird)
    | ~ snail(a_snail) ),
    inference(subsumption_resolution,[],[f110,f8]) ).

fof(f110,plain,
    ( eats(a_fox,a_grain)
    | eats(a_fox,a_bird)
    | ~ bird(a_bird)
    | ~ snail(a_snail) ),
    inference(resolution,[],[f105,f21]) ).

fof(f105,plain,
    ( eats(a_bird,a_snail)
    | eats(a_fox,a_grain)
    | eats(a_fox,a_bird) ),
    inference(resolution,[],[f90,f32]) ).

fof(f90,plain,
    ! [X0] :
      ( ~ plant(X0)
      | eats(a_fox,a_bird)
      | eats(a_fox,X0)
      | eats(a_bird,a_snail) ),
    inference(subsumption_resolution,[],[f89,f32]) ).

fof(f89,plain,
    ! [X0] :
      ( ~ plant(a_grain)
      | ~ plant(X0)
      | eats(a_fox,a_bird)
      | eats(a_fox,X0)
      | eats(a_bird,a_snail) ),
    inference(resolution,[],[f72,f77]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ eats(a_bird,X1)
      | ~ plant(X1)
      | ~ plant(X0)
      | eats(a_fox,a_bird)
      | eats(a_fox,X0) ),
    inference(subsumption_resolution,[],[f71,f29]) ).

fof(f71,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_bird)
      | ~ plant(X1)
      | ~ eats(a_bird,X1)
      | eats(a_fox,a_bird)
      | eats(a_fox,X0) ),
    inference(subsumption_resolution,[],[f67,f28]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_fox)
      | ~ animal(a_bird)
      | ~ plant(X1)
      | ~ eats(a_bird,X1)
      | eats(a_fox,a_bird)
      | eats(a_fox,X0) ),
    inference(resolution,[],[f13,f46]) ).

fof(f46,plain,
    much_smaller(a_bird,a_fox),
    inference(resolution,[],[f45,f7]) ).

fof(f45,plain,
    ! [X0] :
      ( ~ fox(X0)
      | much_smaller(a_bird,X0) ),
    inference(resolution,[],[f16,f8]) ).

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

fof(f74,plain,
    ! [X0,X1] :
      ( ~ eats(a_fox,X1)
      | ~ plant(X1)
      | ~ plant(X0)
      | eats(a_wolf,a_fox)
      | eats(a_wolf,X0) ),
    inference(subsumption_resolution,[],[f73,f28]) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_fox)
      | ~ plant(X1)
      | ~ eats(a_fox,X1)
      | eats(a_wolf,a_fox)
      | eats(a_wolf,X0) ),
    inference(subsumption_resolution,[],[f68,f27]) ).

fof(f27,plain,
    animal(a_wolf),
    inference(resolution,[],[f1,f6]) ).

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

fof(f68,plain,
    ! [X0,X1] :
      ( ~ plant(X0)
      | ~ animal(a_wolf)
      | ~ animal(a_fox)
      | ~ plant(X1)
      | ~ eats(a_fox,X1)
      | eats(a_wolf,a_fox)
      | eats(a_wolf,X0) ),
    inference(resolution,[],[f13,f48]) ).

fof(f48,plain,
    much_smaller(a_fox,a_wolf),
    inference(resolution,[],[f47,f6]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ wolf(X0)
      | much_smaller(a_fox,X0) ),
    inference(resolution,[],[f17,f7]) ).

fof(f17,axiom,
    ! [X8,X9] :
      ( ~ fox(X8)
      | ~ wolf(X9)
      | much_smaller(X8,X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fox_smaller_than_wolf) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : PUZ031-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 18:01:53 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.36  % (24008)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37  % (24011)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37  % (24010)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (24013)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37  % (24012)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37  % (24016)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37  % (24014)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37  % (24015)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [1]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [2]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [3]
% 0.13/0.37  TRYING [3]
% 0.13/0.38  TRYING [4]
% 0.13/0.38  TRYING [4]
% 0.13/0.38  TRYING [4]
% 0.13/0.38  TRYING [4]
% 0.13/0.38  % (24014)First to succeed.
% 0.21/0.38  % (24014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-24008"
% 0.21/0.38  % (24015)Also succeeded, but the first one will report.
% 0.21/0.38  TRYING [5]
% 0.21/0.38  % (24014)Refutation found. Thanks to Tanya!
% 0.21/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.38  % (24014)------------------------------
% 0.21/0.38  % (24014)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.38  % (24014)Termination reason: Refutation
% 0.21/0.38  
% 0.21/0.38  % (24014)Memory used [KB]: 778
% 0.21/0.38  % (24014)Time elapsed: 0.007 s
% 0.21/0.38  % (24014)Instructions burned: 9 (million)
% 0.21/0.38  % (24008)Success in time 0.023 s
%------------------------------------------------------------------------------