TSTP Solution File: CAT005-4 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 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 : 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 : Sun May  5 04:43:05 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   28 (  10 unt;   0 def)
%            Number of atoms       :   46 (  12 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   35 (  17   ~;  16   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f73,plain,
    $false,
    inference(avatar_sat_refutation,[],[f28,f59,f72]) ).

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

fof(f71,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f70,f15]) ).

fof(f15,axiom,
    d != domain(a),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',prove_domain_of_a_is_d) ).

fof(f70,plain,
    ( d = domain(a)
    | ~ spl0_1 ),
    inference(backward_demodulation,[],[f34,f23]) ).

fof(f23,plain,
    ( d = codomain(d)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f21,plain,
    ( spl0_1
  <=> d = codomain(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f34,plain,
    domain(a) = codomain(d),
    inference(subsumption_resolution,[],[f33,f19]) ).

fof(f19,plain,
    there_exists(a),
    inference(backward_demodulation,[],[f12,f17]) ).

fof(f17,plain,
    a = compose(a,d),
    inference(resolution,[],[f13,f12]) ).

fof(f13,axiom,
    ! [X0] :
      ( ~ there_exists(compose(X0,d))
      | compose(X0,d) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',xd_equals_x) ).

fof(f12,axiom,
    there_exists(compose(a,d)),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',ad_exists) ).

fof(f33,plain,
    ( ~ there_exists(a)
    | domain(a) = codomain(d) ),
    inference(superposition,[],[f7,f17]) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ there_exists(compose(X0,X1))
      | domain(X0) = codomain(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',domain_codomain_composition1) ).

fof(f59,plain,
    spl0_2,
    inference(avatar_contradiction_clause,[],[f58]) ).

fof(f58,plain,
    ( $false
    | spl0_2 ),
    inference(subsumption_resolution,[],[f55,f19]) ).

fof(f55,plain,
    ( ~ there_exists(a)
    | spl0_2 ),
    inference(superposition,[],[f49,f10]) ).

fof(f10,axiom,
    ! [X0] : compose(X0,domain(X0)) = X0,
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',compose_domain) ).

fof(f49,plain,
    ( ! [X0] : ~ there_exists(compose(a,X0))
    | spl0_2 ),
    inference(resolution,[],[f47,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( there_exists(domain(X0))
      | ~ there_exists(compose(X0,X1)) ),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',composition_implies_domain) ).

fof(f47,plain,
    ( ~ there_exists(domain(a))
    | spl0_2 ),
    inference(subsumption_resolution,[],[f46,f27]) ).

fof(f27,plain,
    ( ~ there_exists(d)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f25]) ).

fof(f25,plain,
    ( spl0_2
  <=> there_exists(d) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f46,plain,
    ( ~ there_exists(domain(a))
    | there_exists(d) ),
    inference(superposition,[],[f5,f34]) ).

fof(f5,axiom,
    ! [X0] :
      ( ~ there_exists(codomain(X0))
      | there_exists(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',codomain_has_elements) ).

fof(f28,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f18,f25,f21]) ).

fof(f18,plain,
    ( ~ there_exists(d)
    | d = codomain(d) ),
    inference(superposition,[],[f13,f11]) ).

fof(f11,axiom,
    ! [X0] : compose(codomain(X0),X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.MXFENutyXA/Vampire---4.8_11483',compose_codomain) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CAT005-4 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15  % 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
% 0.15/0.37  % Computer : n026.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Fri May  3 18:10:38 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.15/0.37  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.MXFENutyXA/Vampire---4.8_11483
% 0.61/0.76  % (11913)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (11911)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 (2996ds/34Mi)
% 0.61/0.76  % (11915)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.61/0.76  % (11912)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 (2996ds/51Mi)
% 0.61/0.76  % (11917)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.61/0.76  % (11916)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 (2996ds/34Mi)
% 0.61/0.76  % (11919)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 (2996ds/56Mi)
% 0.61/0.76  % (11919)Refutation not found, incomplete strategy% (11919)------------------------------
% 0.61/0.76  % (11919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (11919)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (11919)Memory used [KB]: 960
% 0.61/0.76  % (11919)Time elapsed: 0.002 s
% 0.61/0.76  % (11919)Instructions burned: 2 (million)
% 0.61/0.76  % (11916)Refutation not found, incomplete strategy% (11916)------------------------------
% 0.61/0.76  % (11916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (11916)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (11916)Memory used [KB]: 977
% 0.61/0.76  % (11916)Time elapsed: 0.003 s
% 0.61/0.76  % (11916)Instructions burned: 2 (million)
% 0.61/0.76  % (11911)Refutation not found, incomplete strategy% (11911)------------------------------
% 0.61/0.76  % (11911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (11911)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (11911)Memory used [KB]: 976
% 0.61/0.76  % (11911)Time elapsed: 0.003 s
% 0.61/0.76  % (11911)Instructions burned: 3 (million)
% 0.61/0.76  % (11915)Refutation not found, incomplete strategy% (11915)------------------------------
% 0.61/0.76  % (11915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (11915)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  % (11919)------------------------------
% 0.61/0.76  % (11919)------------------------------
% 0.61/0.76  
% 0.61/0.76  % (11915)Memory used [KB]: 982
% 0.61/0.76  % (11915)Time elapsed: 0.003 s
% 0.61/0.76  % (11915)Instructions burned: 2 (million)
% 0.61/0.76  % (11916)------------------------------
% 0.61/0.76  % (11916)------------------------------
% 0.61/0.76  % (11911)------------------------------
% 0.61/0.76  % (11911)------------------------------
% 0.61/0.76  % (11915)------------------------------
% 0.61/0.76  % (11915)------------------------------
% 0.61/0.76  % (11912)Also succeeded, but the first one will report.
% 0.61/0.76  % (11913)First to succeed.
% 0.61/0.77  % (11913)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11743"
% 0.61/0.77  % (11913)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.77  % (11913)------------------------------
% 0.61/0.77  % (11913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (11913)Termination reason: Refutation
% 0.61/0.77  
% 0.61/0.77  % (11913)Memory used [KB]: 1004
% 0.61/0.77  % (11913)Time elapsed: 0.005 s
% 0.61/0.77  % (11913)Instructions burned: 5 (million)
% 0.61/0.77  % (11743)Success in time 0.391 s
% 0.61/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------