TSTP Solution File: PLA001-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : PLA001-1 : 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 : n026.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 : Tue Apr 30 14:41:56 EDT 2024

% Result   : Unsatisfiable 0.22s 0.41s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   35 (  11 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   73 (  41   ~;  28   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   5 prp; 0-4 aty)
%            Number of functors    :   12 (  12 usr;   9 con; 0-2 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1882,plain,
    $false,
    inference(avatar_sat_refutation,[],[f186,f188,f1702,f1746,f1881]) ).

fof(f1881,plain,
    ~ spl0_39,
    inference(avatar_contradiction_clause,[],[f1880]) ).

fof(f1880,plain,
    ( $false
    | ~ spl0_39 ),
    inference(resolution,[],[f1836,f10]) ).

fof(f10,axiom,
    next_to(cheyenne,northPlatte),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map6) ).

fof(f1836,plain,
    ( ~ next_to(cheyenne,northPlatte)
    | ~ spl0_39 ),
    inference(resolution,[],[f1749,f15]) ).

fof(f15,axiom,
    at(cheyenne,none,start,initial_situation),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',initial) ).

fof(f1749,plain,
    ( ! [X2,X0,X1] :
        ( ~ at(X0,none,X1,X2)
        | ~ next_to(X0,northPlatte) )
    | ~ spl0_39 ),
    inference(resolution,[],[f670,f1]) ).

fof(f1,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( at(X4,X1,s(s(X2)),drive(X4,X3))
      | ~ at(X0,X1,X2,X3)
      | ~ next_to(X0,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',drive1) ).

fof(f670,plain,
    ( ! [X0,X1] : ~ at(northPlatte,none,X0,X1)
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f669]) ).

fof(f669,plain,
    ( spl0_39
  <=> ! [X0,X1] : ~ at(northPlatte,none,X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1746,plain,
    spl0_75,
    inference(avatar_contradiction_clause,[],[f1745]) ).

fof(f1745,plain,
    ( $false
    | spl0_75 ),
    inference(resolution,[],[f1701,f12]) ).

fof(f12,axiom,
    next_to(grandIsland,lincoln),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map8) ).

fof(f1701,plain,
    ( ~ next_to(grandIsland,lincoln)
    | spl0_75 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f1699,plain,
    ( spl0_75
  <=> next_to(grandIsland,lincoln) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1702,plain,
    ( spl0_39
    | ~ spl0_75
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1561,f159,f1699,f669]) ).

fof(f159,plain,
    ( spl0_13
  <=> ! [X0,X1] : ~ at(lincoln,s(none),X0,X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1561,plain,
    ( ! [X0,X1] :
        ( ~ next_to(grandIsland,lincoln)
        | ~ at(northPlatte,none,X0,X1) )
    | ~ spl0_13 ),
    inference(resolution,[],[f302,f11]) ).

fof(f11,axiom,
    next_to(northPlatte,grandIsland),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map7) ).

fof(f302,plain,
    ( ! [X2,X3,X0,X1] :
        ( ~ next_to(X0,lincoln)
        | ~ at(X1,none,X2,X3)
        | ~ next_to(X1,X0) )
    | ~ spl0_13 ),
    inference(resolution,[],[f195,f1]) ).

fof(f195,plain,
    ( ! [X2,X0,X1] :
        ( ~ at(X0,none,X1,X2)
        | ~ next_to(X0,lincoln) )
    | ~ spl0_13 ),
    inference(resolution,[],[f189,f1]) ).

fof(f189,plain,
    ( ! [X0,X1] : ~ at(lincoln,none,X0,X1)
    | ~ spl0_13 ),
    inference(resolution,[],[f160,f4]) ).

fof(f4,axiom,
    ! [X2,X3,X1,X5] :
      ( at(X5,s(X1),s(X2),buy(X3))
      | ~ at(X5,X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',buy_in_city) ).

fof(f160,plain,
    ( ! [X0,X1] : ~ at(lincoln,s(none),X0,X1)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f188,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f187]) ).

fof(f187,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f185,f14]) ).

fof(f14,axiom,
    next_to(omaha,desMoines),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map10) ).

fof(f185,plain,
    ( ~ next_to(omaha,desMoines)
    | spl0_17 ),
    inference(avatar_component_clause,[],[f183]) ).

fof(f183,plain,
    ( spl0_17
  <=> next_to(omaha,desMoines) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f186,plain,
    ( spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f77,f183,f159]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( ~ next_to(omaha,desMoines)
      | ~ at(lincoln,s(none),X0,X1) ),
    inference(resolution,[],[f31,f13]) ).

fof(f13,axiom,
    next_to(lincoln,omaha),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',map9) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] :
      ( ~ next_to(X0,desMoines)
      | ~ at(X1,s(none),X2,X3)
      | ~ next_to(X1,X0) ),
    inference(resolution,[],[f20,f1]) ).

fof(f20,plain,
    ! [X2,X0,X1] :
      ( ~ at(X0,s(none),X1,X2)
      | ~ next_to(X0,desMoines) ),
    inference(resolution,[],[f1,f16]) ).

fof(f16,axiom,
    ! [X2,X3] : ~ at(desMoines,s(none),X2,X3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_you_gat_get_there_with_bread) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : PLA001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 02:38:19 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (31079)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (31083)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (31082)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)
% 0.14/0.37  % (31085)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (31081)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (31084)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (31080)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (31086)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)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,max,11]
% 0.14/0.37  Detected minimum model sizes of [1,1,1]
% 0.14/0.37  Detected maximum model sizes of [max,max,11]
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  TRYING [1,1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [2,1,1]
% 0.14/0.37  TRYING [2,1,1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  TRYING [3,1,1]
% 0.14/0.38  TRYING [3,1,1]
% 0.14/0.38  TRYING [2,2,1]
% 0.14/0.38  TRYING [2,2,1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2,1,2]
% 0.14/0.38  TRYING [2,1,2]
% 0.14/0.38  TRYING [3,2,1]
% 0.14/0.38  TRYING [3,2,1]
% 0.22/0.38  TRYING [2,2,2]
% 0.22/0.38  TRYING [2,2,2]
% 0.22/0.39  TRYING [3,1,2]
% 0.22/0.39  TRYING [3,1,2]
% 0.22/0.39  TRYING [4,1,1]
% 0.22/0.39  TRYING [4,1,1]
% 0.22/0.39  TRYING [3,2,2]
% 0.22/0.39  TRYING [4]
% 0.22/0.39  TRYING [3,2,2]
% 0.22/0.40  TRYING [4]
% 0.22/0.40  TRYING [4,1,2]
% 0.22/0.40  TRYING [4,1,2]
% 0.22/0.40  TRYING [3,1,3]
% 0.22/0.41  TRYING [3,1,3]
% 0.22/0.41  % (31082)First to succeed.
% 0.22/0.41  % (31082)Refutation found. Thanks to Tanya!
% 0.22/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.41  % (31082)------------------------------
% 0.22/0.41  % (31082)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.41  % (31082)Termination reason: Refutation
% 0.22/0.41  
% 0.22/0.41  % (31082)Memory used [KB]: 1098
% 0.22/0.41  % (31082)Time elapsed: 0.038 s
% 0.22/0.41  % (31082)Instructions burned: 72 (million)
% 0.22/0.41  % (31082)------------------------------
% 0.22/0.41  % (31082)------------------------------
% 0.22/0.41  % (31079)Success in time 0.044 s
%------------------------------------------------------------------------------