TSTP Solution File: PUZ012-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n023.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 18:10:40 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (   8 unt;   0 def)
%            Number of atoms       :   86 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   80 (  35   ~;  40   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f122,plain,
    $false,
    inference(avatar_sat_refutation,[],[f27,f67,f79,f115,f116,f121]) ).

fof(f121,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f120]) ).

fof(f120,plain,
    ( $false
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f119,f16]) ).

fof(f16,axiom,
    label(boxc,bananas),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxc_labelled_bananas) ).

fof(f119,plain,
    ( ~ label(boxc,bananas)
    | ~ spl0_5 ),
    inference(resolution,[],[f42,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ contains(X0,X1)
      | ~ label(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',label_is_wrong) ).

fof(f42,plain,
    ( contains(boxc,bananas)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_5
  <=> contains(boxc,bananas) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f116,plain,
    ( spl0_6
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f81,f20,f40,f44]) ).

fof(f44,plain,
    ( spl0_6
  <=> contains(boxc,apples) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f20,plain,
    ( spl0_1
  <=> contains(boxc,oranges) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f81,plain,
    ( contains(boxc,bananas)
    | contains(boxc,apples)
    | spl0_1 ),
    inference(resolution,[],[f22,f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( contains(X0,oranges)
      | contains(X0,apples)
      | contains(X0,bananas) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_box_contains_something) ).

fof(f22,plain,
    ( ~ contains(boxc,oranges)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f115,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f114]) ).

fof(f114,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f111,f9]) ).

fof(f9,axiom,
    ~ equal_boxes(boxb,boxc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_not_boxc) ).

fof(f111,plain,
    ( equal_boxes(boxb,boxc)
    | ~ spl0_6 ),
    inference(resolution,[],[f83,f17]) ).

fof(f17,axiom,
    contains(boxb,apples),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_contains_apples) ).

fof(f83,plain,
    ( ! [X1] :
        ( ~ contains(X1,apples)
        | equal_boxes(X1,boxc) )
    | ~ spl0_6 ),
    inference(resolution,[],[f46,f7]) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ contains(X2,X1)
      | ~ contains(X0,X1)
      | equal_boxes(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',contains_is_well_defined2) ).

fof(f46,plain,
    ( contains(boxc,apples)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f79,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f78]) ).

fof(f78,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f75,f10]) ).

fof(f10,axiom,
    ~ equal_boxes(boxa,boxc),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxa_not_boxc) ).

fof(f75,plain,
    ( equal_boxes(boxa,boxc)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(resolution,[],[f49,f37]) ).

fof(f37,plain,
    ( contains(boxa,oranges)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_4
  <=> contains(boxa,oranges) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f49,plain,
    ( ! [X1] :
        ( ~ contains(X1,oranges)
        | equal_boxes(X1,boxc) )
    | ~ spl0_1 ),
    inference(resolution,[],[f21,f7]) ).

fof(f21,plain,
    ( contains(boxc,oranges)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f20]) ).

fof(f67,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f66]) ).

fof(f66,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f65,f14]) ).

fof(f14,axiom,
    label(boxa,apples),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxa_labelled_apples) ).

fof(f65,plain,
    ( ~ label(boxa,apples)
    | spl0_2
    | spl0_4 ),
    inference(resolution,[],[f56,f3]) ).

fof(f56,plain,
    ( contains(boxa,apples)
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f55,f26]) ).

fof(f26,plain,
    ( ~ contains(boxa,bananas)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f24,plain,
    ( spl0_2
  <=> contains(boxa,bananas) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f55,plain,
    ( contains(boxa,bananas)
    | contains(boxa,apples)
    | spl0_4 ),
    inference(resolution,[],[f36,f5]) ).

fof(f36,plain,
    ( ~ contains(boxa,oranges)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f27,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f18,f24,f20]) ).

fof(f18,axiom,
    ( ~ contains(boxa,bananas)
    | ~ contains(boxc,oranges) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n023.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 10:57:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (6535)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.49  % (6535)First to succeed.
% 0.19/0.49  % (6555)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.50  % (6547)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (6550)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  % (6535)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  % (6535)------------------------------
% 0.19/0.50  % (6535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (6535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (6535)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (6535)Memory used [KB]: 5884
% 0.19/0.50  % (6535)Time elapsed: 0.088 s
% 0.19/0.50  % (6535)Instructions burned: 2 (million)
% 0.19/0.50  % (6535)------------------------------
% 0.19/0.50  % (6535)------------------------------
% 0.19/0.50  % (6527)Success in time 0.153 s
%------------------------------------------------------------------------------