TSTP Solution File: PUZ012_1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : PUZ012_1 : TPTP v8.1.2. 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 08:48:22 EDT 2024

% Result   : Theorem 0.62s 0.80s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   25
% Syntax   : Number of formulae    :   62 (  14 unt;  12 typ;   0 def)
%            Number of atoms       :   97 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   86 (  39   ~;  38   |;   4   &)
%                                         (   4 <=>;   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  :    9 (   8 usr;   5 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(f103,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f74,f81,f91,f102]) ).

tff(f102,plain,
    ( spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f101,f47,f67]) ).

tff(f67,plain,
    ( spl0_3
  <=> contains(boxc,apples) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

tff(f47,plain,
    ( spl0_2
  <=> contains(boxc,oranges) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

tff(f101,plain,
    ( contains(boxc,apples)
    | spl0_2 ),
    inference(subsumption_resolution,[],[f98,f53]) ).

tff(f53,plain,
    ~ contains(boxc,bananas),
    inference(resolution,[],[f37,f28]) ).

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

tff(f16,axiom,
    label(boxc,bananas),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',boxc_labelled_bananas) ).

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/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',label_is_wrong) ).

tff(f98,plain,
    ( contains(boxc,bananas)
    | contains(boxc,apples)
    | spl0_2 ),
    inference(resolution,[],[f49,f36]) ).

tff(f36,plain,
    ! [X0: box] :
      ( contains(X0,oranges)
      | contains(X0,bananas)
      | contains(X0,apples) ),
    inference(cnf_transformation,[],[f5]) ).

tff(f5,axiom,
    ! [X0: box] :
      ( contains(X0,oranges)
      | contains(X0,bananas)
      | contains(X0,apples) ),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',each_box_contains_something) ).

tff(f49,plain,
    ( ~ contains(boxc,oranges)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

tff(f91,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f90]) ).

tff(f90,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f88,f29]) ).

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

tff(f17,axiom,
    contains(boxb,apples),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',boxb_contains_apples) ).

tff(f88,plain,
    ( ~ contains(boxb,apples)
    | ~ spl0_3 ),
    inference(resolution,[],[f69,f56]) ).

tff(f56,plain,
    ! [X0: fruit] :
      ( ~ contains(boxc,X0)
      | ~ contains(boxb,X0) ),
    inference(resolution,[],[f40,f38]) ).

tff(f38,plain,
    ~ equal_boxes(boxb,boxc),
    inference(cnf_transformation,[],[f9]) ).

tff(f9,axiom,
    ~ equal_boxes(boxb,boxc),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',boxb_not_boxc) ).

tff(f40,plain,
    ! [X2: box,X0: box,X1: fruit] :
      ( equal_boxes(X0,X2)
      | ~ contains(X2,X1)
      | ~ contains(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tff(f23,plain,
    ! [X0: box,X1: fruit,X2: box] :
      ( equal_boxes(X0,X2)
      | ~ contains(X2,X1)
      | ~ contains(X0,X1) ),
    inference(flattening,[],[f22]) ).

tff(f22,plain,
    ! [X0: box,X1: fruit,X2: box] :
      ( equal_boxes(X0,X2)
      | ~ contains(X2,X1)
      | ~ contains(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

tff(f7,axiom,
    ! [X0: box,X1: fruit,X2: box] :
      ( ( contains(X2,X1)
        & contains(X0,X1) )
     => equal_boxes(X0,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',contains_is_well_defined2) ).

tff(f69,plain,
    ( contains(boxc,apples)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f67]) ).

tff(f81,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f80]) ).

tff(f80,plain,
    ( $false
    | spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f79,f51]) ).

tff(f51,plain,
    ~ contains(boxa,apples),
    inference(resolution,[],[f37,f26]) ).

tff(f26,plain,
    label(boxa,apples),
    inference(cnf_transformation,[],[f14]) ).

tff(f14,axiom,
    label(boxa,apples),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',boxa_labelled_apples) ).

tff(f79,plain,
    ( contains(boxa,apples)
    | spl0_1
    | spl0_4 ),
    inference(subsumption_resolution,[],[f78,f45]) ).

tff(f45,plain,
    ( ~ contains(boxa,bananas)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

tff(f43,plain,
    ( spl0_1
  <=> contains(boxa,bananas) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

tff(f78,plain,
    ( contains(boxa,bananas)
    | contains(boxa,apples)
    | spl0_4 ),
    inference(resolution,[],[f73,f36]) ).

tff(f73,plain,
    ( ~ contains(boxa,oranges)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f71]) ).

tff(f71,plain,
    ( spl0_4
  <=> contains(boxa,oranges) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

tff(f74,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f65,f71,f67]) ).

tff(f65,plain,
    ( ~ contains(boxa,oranges)
    | contains(boxc,apples) ),
    inference(subsumption_resolution,[],[f64,f53]) ).

tff(f64,plain,
    ( ~ contains(boxa,oranges)
    | contains(boxc,bananas)
    | contains(boxc,apples) ),
    inference(resolution,[],[f54,f36]) ).

tff(f54,plain,
    ! [X0: fruit] :
      ( ~ contains(boxc,X0)
      | ~ contains(boxa,X0) ),
    inference(resolution,[],[f40,f31]) ).

tff(f31,plain,
    ~ equal_boxes(boxa,boxc),
    inference(cnf_transformation,[],[f10]) ).

tff(f10,axiom,
    ~ equal_boxes(boxa,boxc),
    file('/export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',boxa_not_boxc) ).

tff(f50,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f30,f47,f43]) ).

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/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494',prove_boxa_contains_bananas_and_boxc_oranges) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : PUZ012_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:02:23 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a TF0_THM_NEQ_NAR problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.vIruFnxRJn/Vampire---4.8_12494
% 0.62/0.79  % (12859)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.80  % (12855)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.80  % (12852)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 Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (12859)Refutation not found, incomplete strategy% (12859)------------------------------
% 0.62/0.80  % (12859)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (12854)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.80  % (12859)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (12859)Memory used [KB]: 956
% 0.62/0.80  % (12859)Time elapsed: 0.002 s
% 0.62/0.80  % (12859)Instructions burned: 2 (million)
% 0.62/0.80  % (12853)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 Vampire---4 for (2995ds/51Mi)
% 0.62/0.80  % (12857)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.80  % (12859)------------------------------
% 0.62/0.80  % (12859)------------------------------
% 0.62/0.80  % (12855)Refutation not found, incomplete strategy% (12855)------------------------------
% 0.62/0.80  % (12855)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (12855)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (12855)Memory used [KB]: 971
% 0.62/0.80  % (12855)Time elapsed: 0.003 s
% 0.62/0.80  % (12855)Instructions burned: 3 (million)
% 0.62/0.80  % (12855)------------------------------
% 0.62/0.80  % (12855)------------------------------
% 0.62/0.80  % (12857)Also succeeded, but the first one will report.
% 0.62/0.80  % (12858)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 Vampire---4 for (2995ds/83Mi)
% 0.62/0.80  % (12852)First to succeed.
% 0.62/0.80  % (12854)Also succeeded, but the first one will report.
% 0.62/0.80  % (12856)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 Vampire---4 for (2995ds/34Mi)
% 0.62/0.80  % (12852)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12730"
% 0.62/0.80  % (12853)Also succeeded, but the first one will report.
% 0.62/0.80  % (12860)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.80  % (12852)Refutation found. Thanks to Tanya!
% 0.62/0.80  % SZS status Theorem for Vampire---4
% 0.62/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.80  % (12852)------------------------------
% 0.62/0.80  % (12852)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.62/0.80  % (12852)Termination reason: Refutation
% 0.62/0.80  
% 0.62/0.80  % (12852)Memory used [KB]: 992
% 0.62/0.80  % (12852)Time elapsed: 0.004 s
% 0.62/0.80  % (12852)Instructions burned: 4 (million)
% 0.62/0.80  % (12730)Success in time 0.435 s
% 0.62/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------