TSTP Solution File: SWC065-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC065-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 May  1 03:59:31 EDT 2024

% Result   : Unsatisfiable 0.58s 0.77s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   59 (  19 unt;   0 def)
%            Number of atoms       :  141 (  29 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  162 (  80   ~;  78   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f800,plain,
    $false,
    inference(avatar_sat_refutation,[],[f222,f231,f232,f233,f791,f792,f799]) ).

fof(f799,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f798]) ).

fof(f798,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f796,f778]) ).

fof(f778,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_4 ),
    inference(unit_resulting_resolution,[],[f8,f313,f258,f230]) ).

fof(f230,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(sk3,X6)
        | ~ segmentP(sk4,X6) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f229,plain,
    ( spl0_4
  <=> ! [X6] :
        ( ~ segmentP(sk3,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk4,X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f258,plain,
    segmentP(sk3,nil),
    inference(unit_resulting_resolution,[],[f201,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause56) ).

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

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_1) ).

fof(f313,plain,
    segmentP(sk4,nil),
    inference(unit_resulting_resolution,[],[f202,f56]) ).

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

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_5) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_2) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause8) ).

fof(f796,plain,
    ( neq(nil,nil)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f226,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(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(f792,plain,
    ( spl0_2
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f629,f215,f219]) ).

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

fof(f629,plain,
    ( nil != sk4
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f628,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_7) ).

fof(f628,plain,
    ( nil != sk4
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f620,f201]) ).

fof(f620,plain,
    ( nil != sk4
    | ~ ssList(sk3)
    | ~ ssList(sk5)
    | nil = sk3 ),
    inference(superposition,[],[f118,f193]) ).

fof(f193,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_8) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | nil = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause118) ).

fof(f791,plain,
    ( spl0_2
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f790]) ).

fof(f790,plain,
    ( $false
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f789,f602]) ).

fof(f602,plain,
    segmentP(sk4,sk3),
    inference(forward_demodulation,[],[f601,f316]) ).

fof(f316,plain,
    sk4 = app(nil,sk4),
    inference(unit_resulting_resolution,[],[f202,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause74) ).

fof(f601,plain,
    segmentP(app(nil,sk4),sk3),
    inference(forward_demodulation,[],[f590,f308]) ).

fof(f308,plain,
    app(app(nil,sk3),sk5) = app(nil,sk4),
    inference(forward_demodulation,[],[f280,f193]) ).

fof(f280,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/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause149) ).

fof(f590,plain,
    segmentP(app(app(nil,sk3),sk5),sk3),
    inference(unit_resulting_resolution,[],[f8,f192,f201,f201,f259,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/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause172) ).

fof(f259,plain,
    segmentP(sk3,sk3),
    inference(unit_resulting_resolution,[],[f201,f57]) ).

fof(f57,axiom,
    ! [X0] :
      ( segmentP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause57) ).

fof(f789,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f788,f259]) ).

fof(f788,plain,
    ( ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | spl0_2
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f783,f201]) ).

fof(f783,plain,
    ( ~ ssList(sk3)
    | ~ segmentP(sk3,sk3)
    | ~ segmentP(sk4,sk3)
    | spl0_2
    | ~ spl0_4 ),
    inference(resolution,[],[f230,f406]) ).

fof(f406,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/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',clause100) ).

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

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

fof(f206,plain,
    ! [X6] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f191,f190,f191]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil != sk1 ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_15) ).

fof(f232,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/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_14) ).

fof(f231,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f229,f215]) ).

fof(f204,plain,
    ! [X6] :
      ( ~ segmentP(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk4 ),
    inference(definition_unfolding,[],[f198,f191,f190,f190]) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | ~ segmentP(sk2,X6)
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | nil = sk2 ),
    file('/export/starexec/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',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/sandbox/tmp/tmp.1cmoT9qaCe/Vampire---4.8_5451',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC065-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14  % 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
% 0.13/0.36  % Computer : n027.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit   : 300
% 0.13/0.36  % WCLimit    : 300
% 0.13/0.36  % DateTime   : Tue Apr 30 18:47:03 EDT 2024
% 0.13/0.36  % CPUTime    : 
% 0.13/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.21/0.36  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.1cmoT9qaCe/Vampire---4.8_5451
% 0.56/0.76  % (5713)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)
% 0.56/0.76  % (5707)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)
% 0.56/0.76  % (5710)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)
% 0.56/0.76  % (5709)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (5708)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)
% 0.56/0.76  % (5711)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)
% 0.56/0.76  % (5712)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)
% 0.58/0.77  % (5713)First to succeed.
% 0.58/0.77  % (5714)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)
% 0.58/0.77  % (5713)Refutation found. Thanks to Tanya!
% 0.58/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.58/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.58/0.77  % (5713)------------------------------
% 0.58/0.77  % (5713)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.58/0.77  % (5713)Termination reason: Refutation
% 0.58/0.77  
% 0.58/0.77  % (5713)Memory used [KB]: 1348
% 0.58/0.77  % (5713)Time elapsed: 0.015 s
% 0.58/0.77  % (5713)Instructions burned: 24 (million)
% 0.58/0.77  % (5713)------------------------------
% 0.58/0.77  % (5713)------------------------------
% 0.58/0.77  % (5695)Success in time 0.386 s
% 0.58/0.77  % Vampire---4.8 exiting
%------------------------------------------------------------------------------