TSTP Solution File: PUZ012_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ012_1 : TPTP v8.2.0. Released v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n012.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 May 21 02:27:41 EDT 2024

% Result   : Theorem 0.73s 0.90s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   56 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   73 (  32   ~;  34   |;   4   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    8 (   4   >;   4   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   6 usr;   3 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   22 (  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    box: $tType ).

tff(type_def_6,type,
    fruit: $tType ).

tff(func_def_0,type,
    boxa: box ).

tff(func_def_1,type,
    boxb: box ).

tff(func_def_2,type,
    boxc: box ).

tff(func_def_3,type,
    apples: fruit ).

tff(func_def_4,type,
    bananas: fruit ).

tff(func_def_5,type,
    oranges: fruit ).

tff(pred_def_1,type,
    equal_fruits: ( fruit * fruit ) > $o ).

tff(pred_def_2,type,
    equal_boxes: ( box * box ) > $o ).

tff(pred_def_3,type,
    contains: ( box * fruit ) > $o ).

tff(pred_def_4,type,
    label: ( box * fruit ) > $o ).

tff(f99,plain,
    $false,
    inference(avatar_sat_refutation,[],[f52,f72,f98]) ).

tff(f98,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_contradiction_clause,[],[f97]) ).

tff(f97,plain,
    ( $false
    | ~ spl0_1
    | spl0_2 ),
    inference(subsumption_resolution,[],[f94,f39]) ).

tff(f39,plain,
    ~ equal_fruits(bananas,oranges),
    inference(cnf_transformation,[],[f12]) ).

tff(f12,axiom,
    ~ equal_fruits(bananas,oranges),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).

tff(f94,plain,
    ( equal_fruits(bananas,oranges)
    | ~ spl0_1
    | spl0_2 ),
    inference(resolution,[],[f84,f46]) ).

tff(f46,plain,
    ( contains(boxa,bananas)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f45,plain,
    ( spl0_1
  <=> contains(boxa,bananas) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f84,plain,
    ( ! [X0: fruit] :
        ( ~ contains(boxa,X0)
        | equal_fruits(X0,oranges) )
    | spl0_2 ),
    inference(resolution,[],[f82,f42]) ).

tff(f42,plain,
    ! [X2: fruit,X0: box,X1: fruit] :
      ( ~ contains(X0,X2)
      | equal_fruits(X1,X2)
      | ~ contains(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

tff(f25,plain,
    ! [X0: box,X1: fruit,X2: fruit] :
      ( equal_fruits(X1,X2)
      | ~ contains(X0,X2)
      | ~ contains(X0,X1) ),
    inference(flattening,[],[f24]) ).

tff(f24,plain,
    ! [X0: box,X1: fruit,X2: fruit] :
      ( equal_fruits(X1,X2)
      | ~ contains(X0,X2)
      | ~ contains(X0,X1) ),
    inference(ennf_transformation,[],[f6]) ).

tff(f6,axiom,
    ! [X0: box,X1: fruit,X2: fruit] :
      ( ( contains(X0,X2)
        & contains(X0,X1) )
     => equal_fruits(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).

tff(f82,plain,
    ( contains(boxa,oranges)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f80,f54]) ).

tff(f54,plain,
    ~ contains(boxb,oranges),
    inference(resolution,[],[f27,f37]) ).

tff(f37,plain,
    ! [X0: box,X1: fruit] :
      ( ~ label(X0,X1)
      | ~ contains(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

tff(f21,plain,
    ! [X0: box,X1: fruit] :
      ( ~ contains(X0,X1)
      | ~ label(X0,X1) ),
    inference(ennf_transformation,[],[f3]) ).

tff(f3,axiom,
    ! [X0: box,X1: fruit] :
      ~ ( contains(X0,X1)
        & label(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).

tff(f27,plain,
    label(boxb,oranges),
    inference(cnf_transformation,[],[f15]) ).

tff(f15,axiom,
    label(boxb,oranges),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_labelled_oranges) ).

tff(f80,plain,
    ( contains(boxb,oranges)
    | contains(boxa,oranges)
    | spl0_2 ),
    inference(resolution,[],[f51,f33]) ).

tff(f33,plain,
    ! [X0: fruit] :
      ( contains(boxc,X0)
      | contains(boxb,X0)
      | contains(boxa,X0) ),
    inference(cnf_transformation,[],[f4]) ).

tff(f4,axiom,
    ! [X0: fruit] :
      ( contains(boxc,X0)
      | contains(boxb,X0)
      | contains(boxa,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).

tff(f51,plain,
    ( ~ contains(boxc,oranges)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f49]) ).

tff(f49,plain,
    ( spl0_2
  <=> contains(boxc,oranges) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f72,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f71]) ).

tff(f71,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f68,f35]) ).

tff(f35,plain,
    ~ equal_fruits(apples,bananas),
    inference(cnf_transformation,[],[f11]) ).

tff(f11,axiom,
    ~ equal_fruits(apples,bananas),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).

tff(f68,plain,
    ( equal_fruits(apples,bananas)
    | spl0_1 ),
    inference(resolution,[],[f61,f29]) ).

tff(f29,plain,
    contains(boxb,apples),
    inference(cnf_transformation,[],[f17]) ).

tff(f17,axiom,
    contains(boxb,apples),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).

tff(f61,plain,
    ( ! [X0: fruit] :
        ( ~ contains(boxb,X0)
        | equal_fruits(X0,bananas) )
    | spl0_1 ),
    inference(resolution,[],[f60,f42]) ).

tff(f60,plain,
    ( contains(boxb,bananas)
    | spl0_1 ),
    inference(subsumption_resolution,[],[f59,f47]) ).

tff(f47,plain,
    ( ~ contains(boxa,bananas)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f45]) ).

tff(f59,plain,
    ( contains(boxb,bananas)
    | contains(boxa,bananas) ),
    inference(resolution,[],[f55,f33]) ).

tff(f55,plain,
    ~ contains(boxc,bananas),
    inference(resolution,[],[f28,f37]) ).

tff(f28,plain,
    label(boxc,bananas),
    inference(cnf_transformation,[],[f16]) ).

tff(f16,axiom,
    label(boxc,bananas),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).

tff(f52,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f30,f49,f45]) ).

tff(f30,plain,
    ( ~ contains(boxc,oranges)
    | ~ contains(boxa,bananas) ),
    inference(cnf_transformation,[],[f20]) ).

tff(f20,plain,
    ( ~ contains(boxc,oranges)
    | ~ contains(boxa,bananas) ),
    inference(ennf_transformation,[],[f19]) ).

tff(f19,negated_conjecture,
    ~ ( contains(boxc,oranges)
      & contains(boxa,bananas) ),
    inference(negated_conjecture,[],[f18]) ).

tff(f18,conjecture,
    ( contains(boxc,oranges)
    & contains(boxa,bananas) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : PUZ012_1 : TPTP v8.2.0. Released v5.0.0.
% 0.08/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.38  % Computer : n012.cluster.edu
% 0.14/0.38  % Model    : x86_64 x86_64
% 0.14/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.38  % Memory   : 8042.1875MB
% 0.14/0.38  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.38  % CPULimit   : 300
% 0.14/0.38  % WCLimit    : 300
% 0.14/0.38  % DateTime   : Sat May 18 10:41:23 EDT 2024
% 0.14/0.39  % CPUTime    : 
% 0.14/0.39  This is a TF0_THM_NEQ_NAR problem
% 0.14/0.39  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.73/0.90  % (13410)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.90  % (13408)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.90  % (13409)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.73/0.90  % (13411)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.90  % (13412)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.90  % (13413)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.90  % (13414)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.73/0.90  % (13415)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.90  % (13412)Refutation not found, incomplete strategy% (13412)------------------------------
% 0.73/0.90  % (13412)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (13412)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (13412)Memory used [KB]: 970
% 0.73/0.90  % (13412)Time elapsed: 0.003 s
% 0.73/0.90  % (13412)Instructions burned: 2 (million)
% 0.73/0.90  % (13411)Refutation not found, incomplete strategy% (13411)------------------------------
% 0.73/0.90  % (13411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (13411)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (13411)Memory used [KB]: 971
% 0.73/0.90  % (13411)Time elapsed: 0.003 s
% 0.73/0.90  % (13411)Instructions burned: 3 (million)
% 0.73/0.90  % (13415)Refutation not found, incomplete strategy% (13415)------------------------------
% 0.73/0.90  % (13415)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (13415)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (13415)Memory used [KB]: 956
% 0.73/0.90  % (13415)Time elapsed: 0.003 s
% 0.73/0.90  % (13415)Instructions burned: 2 (million)
% 0.73/0.90  % (13412)------------------------------
% 0.73/0.90  % (13412)------------------------------
% 0.73/0.90  % (13408)Also succeeded, but the first one will report.
% 0.73/0.90  % (13413)First to succeed.
% 0.73/0.90  % (13411)------------------------------
% 0.73/0.90  % (13411)------------------------------
% 0.73/0.90  % (13415)------------------------------
% 0.73/0.90  % (13415)------------------------------
% 0.73/0.90  % (13414)Also succeeded, but the first one will report.
% 0.73/0.90  % (13410)Also succeeded, but the first one will report.
% 0.73/0.90  % (13413)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-13407"
% 0.73/0.90  % (13409)Also succeeded, but the first one will report.
% 0.73/0.90  % (13413)Refutation found. Thanks to Tanya!
% 0.73/0.90  % SZS status Theorem for theBenchmark
% 0.73/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.90  % (13413)------------------------------
% 0.73/0.90  % (13413)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (13413)Termination reason: Refutation
% 0.73/0.90  
% 0.73/0.90  % (13413)Memory used [KB]: 990
% 0.73/0.90  % (13413)Time elapsed: 0.004 s
% 0.73/0.90  % (13413)Instructions burned: 4 (million)
% 0.73/0.90  % (13407)Success in time 0.509 s
% 0.73/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------