TSTP Solution File: SWC110-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC110-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n016.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 09:48:38 EDT 2024

% Result   : Unsatisfiable 0.56s 0.75s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   59 (  19 unt;   0 def)
%            Number of atoms       :  128 (  23 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  129 (  60   ~;  64   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f856,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f236,f237,f238,f448,f456,f773,f855]) ).

fof(f855,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f854]) ).

fof(f854,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f801,f643]) ).

fof(f643,plain,
    ( ~ segmentP(nil,sk3)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f8,f201,f221,f263,f127]) ).

fof(f127,axiom,
    ! [X0,X1] :
      ( ~ segmentP(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ segmentP(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause127) ).

fof(f263,plain,
    segmentP(sk3,nil),
    inference(unit_resulting_resolution,[],[f201,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause56) ).

fof(f221,plain,
    ( nil != sk3
    | spl0_2 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f201,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_1) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause8) ).

fof(f801,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(superposition,[],[f234,f217]) ).

fof(f217,plain,
    ( nil = sk4
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_1
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f234,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_5
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f773,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f739,f233]) ).

fof(f739,plain,
    segmentP(sk4,sk3),
    inference(forward_demodulation,[],[f738,f321]) ).

fof(f321,plain,
    sk4 = app(nil,sk4),
    inference(unit_resulting_resolution,[],[f202,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause74) ).

fof(f202,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_2) ).

fof(f738,plain,
    segmentP(app(nil,sk4),sk3),
    inference(forward_demodulation,[],[f722,f313]) ).

fof(f313,plain,
    app(app(nil,sk3),sk5) = app(nil,sk4),
    inference(forward_demodulation,[],[f285,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_8) ).

fof(f285,plain,
    app(app(nil,sk3),sk5) = app(nil,app(sk3,sk5)),
    inference(unit_resulting_resolution,[],[f8,f192,f201,f149]) ).

fof(f149,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause149) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_7) ).

fof(f722,plain,
    segmentP(app(app(nil,sk3),sk5),sk3),
    inference(unit_resulting_resolution,[],[f8,f192,f201,f201,f264,f172]) ).

fof(f172,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(app(app(X3,X0),X2),X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | ~ ssList(X3)
      | ~ ssList(X2)
      | ~ segmentP(X0,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause172) ).

fof(f264,plain,
    segmentP(sk3,sk3),
    inference(unit_resulting_resolution,[],[f201,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause57) ).

fof(f456,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f455,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(subsumption_resolution,[],[f454,f451]) ).

fof(f451,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f226,f217]) ).

fof(f226,plain,
    ( neq(sk4,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f454,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_2
    | spl0_4 ),
    inference(superposition,[],[f231,f220]) ).

fof(f220,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f231,plain,
    ( ~ neq(sk3,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f448,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f411,f231]) ).

fof(f411,plain,
    ( neq(sk3,nil)
    | spl0_2 ),
    inference(unit_resulting_resolution,[],[f8,f201,f221,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',clause100) ).

fof(f238,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f206,f233,f229,f219]) ).

fof(f206,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk3,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f190,f191,f191,f191]) ).

fof(f200,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_15) ).

fof(f237,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f205,f224,f219]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f190,f191]) ).

fof(f199,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_14) ).

fof(f236,plain,
    ( spl0_1
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f204,f233,f229,f215]) ).

fof(f204,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk3,nil)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f190,f191,f191,f190]) ).

fof(f198,axiom,
    ( ~ segmentP(sk2,sk1)
    | ~ neq(sk1,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_13) ).

fof(f222,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f196,f219,f215]) ).

fof(f196,axiom,
    ( nil != sk3
    | nil = sk4 ),
    file('/export/starexec/sandbox2/tmp/tmp.EgcXpncIml/Vampire---4.8_9918',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC110-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14  % 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
% 0.15/0.35  % Computer : n016.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 20:36:23 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  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/tmp/tmp.EgcXpncIml/Vampire---4.8_9918
% 0.56/0.73  % (10118)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)
% 0.56/0.73  % (10121)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)
% 0.56/0.73  % (10114)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)
% 0.56/0.74  % (10117)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)
% 0.56/0.74  % (10116)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (10115)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)
% 0.56/0.74  % (10119)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)
% 0.56/0.74  % (10121)Refutation not found, incomplete strategy% (10121)------------------------------
% 0.56/0.74  % (10121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10121)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (10121)Memory used [KB]: 1173
% 0.56/0.74  % (10121)Time elapsed: 0.002 s
% 0.56/0.74  % (10121)Instructions burned: 4 (million)
% 0.56/0.74  % (10120)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 (2996ds/83Mi)
% 0.56/0.74  % (10121)------------------------------
% 0.56/0.74  % (10121)------------------------------
% 0.56/0.74  % (10124)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 (2996ds/55Mi)
% 0.56/0.74  % (10118)Instruction limit reached!
% 0.56/0.74  % (10118)------------------------------
% 0.56/0.74  % (10118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (10118)Termination reason: Unknown
% 0.56/0.74  % (10118)Termination phase: Saturation
% 0.56/0.74  
% 0.56/0.74  % (10118)Memory used [KB]: 1710
% 0.56/0.74  % (10118)Time elapsed: 0.011 s
% 0.56/0.74  % (10118)Instructions burned: 34 (million)
% 0.56/0.74  % (10118)------------------------------
% 0.56/0.74  % (10118)------------------------------
% 0.56/0.75  % (10128)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2996ds/50Mi)
% 0.56/0.75  % (10120)First to succeed.
% 0.56/0.75  % (10117)Also succeeded, but the first one will report.
% 0.56/0.75  % (10120)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10081"
% 0.56/0.75  % (10120)Refutation found. Thanks to Tanya!
% 0.56/0.75  % SZS status Unsatisfiable for Vampire---4
% 0.56/0.75  % SZS output start Proof for Vampire---4
% See solution above
% 0.56/0.75  % (10120)------------------------------
% 0.56/0.75  % (10120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (10120)Termination reason: Refutation
% 0.56/0.75  
% 0.56/0.75  % (10120)Memory used [KB]: 1347
% 0.56/0.75  % (10120)Time elapsed: 0.015 s
% 0.56/0.75  % (10120)Instructions burned: 25 (million)
% 0.56/0.75  % (10081)Success in time 0.386 s
% 0.56/0.75  % Vampire---4.8 exiting
%------------------------------------------------------------------------------