TSTP Solution File: SWC417-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SWC417-1 : TPTP v8.2.0. 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 : n018.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 04:38:50 EDT 2024

% Result   : Unsatisfiable 0.18s 0.58s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   58 (  10 unt;   0 def)
%            Number of atoms       :  169 (  39 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :  222 ( 111   ~; 101   |;   0   &)
%                                         (  10 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   15 (  13 usr;  11 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :   30 (  30   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f367,plain,
    $false,
    inference(avatar_sat_refutation,[],[f259,f264,f269,f274,f279,f281,f316,f333,f347,f356,f366]) ).

fof(f366,plain,
    spl0_19,
    inference(avatar_contradiction_clause,[],[f365]) ).

fof(f365,plain,
    ( $false
    | spl0_19 ),
    inference(resolution,[],[f364,f204]) ).

fof(f204,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f364,plain,
    ( ~ ssList(sk3)
    | spl0_19 ),
    inference(trivial_inequality_removal,[],[f363]) ).

fof(f363,plain,
    ( sk3 != sk3
    | ~ ssList(sk3)
    | spl0_19 ),
    inference(superposition,[],[f355,f73]) ).

fof(f73,axiom,
    ! [X0] :
      ( app(X0,nil) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f355,plain,
    ( sk3 != app(sk3,nil)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f353]) ).

fof(f353,plain,
    ( spl0_19
  <=> sk3 = app(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f356,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_19
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f351,f345,f276,f271,f353,f266,f261]) ).

fof(f261,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f266,plain,
    ( spl0_6
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f271,plain,
    ( spl0_7
  <=> sk4 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f276,plain,
    ( spl0_8
  <=> sk3 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f345,plain,
    ( spl0_18
  <=> ! [X0,X1] :
        ( ~ ssItem(X0)
        | ~ ssList(X1)
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | app(cons(X0,nil),X1) != sk4 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f351,plain,
    ( sk3 != app(sk3,nil)
    | ~ ssList(sk6)
    | ~ ssItem(sk5)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f350,f278]) ).

fof(f278,plain,
    ( sk3 = app(sk6,cons(sk5,nil))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f276]) ).

fof(f350,plain,
    ( ~ ssList(sk6)
    | sk3 != app(app(sk6,cons(sk5,nil)),nil)
    | ~ ssItem(sk5)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f348]) ).

fof(f348,plain,
    ( sk4 != sk4
    | ~ ssList(sk6)
    | sk3 != app(app(sk6,cons(sk5,nil)),nil)
    | ~ ssItem(sk5)
    | ~ spl0_7
    | ~ spl0_18 ),
    inference(superposition,[],[f346,f273]) ).

fof(f273,plain,
    ( sk4 = app(cons(sk5,nil),sk6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f346,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk4
        | ~ ssList(X1)
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssItem(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f345]) ).

fof(f347,plain,
    ( spl0_18
    | ~ spl0_13
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f343,f331,f306,f345]) ).

fof(f306,plain,
    ( spl0_13
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f331,plain,
    ( spl0_17
  <=> ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk4
        | ~ ssList(cons(X0,nil))
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(X1)
        | ~ ssItem(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f343,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk4
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(X1) )
    | ~ spl0_17 ),
    inference(duplicate_literal_removal,[],[f342]) ).

fof(f342,plain,
    ( ! [X0,X1] :
        ( ~ ssList(nil)
        | ~ ssItem(X0)
        | app(cons(X0,nil),X1) != sk4
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_17 ),
    inference(resolution,[],[f86,f332]) ).

fof(f332,plain,
    ( ! [X0,X1] :
        ( ~ ssList(cons(X0,nil))
        | app(cons(X0,nil),X1) != sk4
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(X1)
        | ~ ssItem(X0) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f331]) ).

fof(f86,axiom,
    ! [X0,X1] :
      ( ssList(cons(X0,X1))
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f333,plain,
    ( ~ spl0_13
    | spl0_17
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f319,f253,f331,f306]) ).

fof(f253,plain,
    ( spl0_3
  <=> ! [X6,X7,X8] :
        ( sk3 != app(app(X8,cons(X6,nil)),X7)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | sk4 != app(app(X7,cons(X6,nil)),X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f319,plain,
    ( ! [X0,X1] :
        ( app(cons(X0,nil),X1) != sk4
        | ~ ssItem(X0)
        | ~ ssList(nil)
        | ~ ssList(X1)
        | sk3 != app(app(X1,cons(X0,nil)),nil)
        | ~ ssList(cons(X0,nil)) )
    | ~ spl0_3 ),
    inference(superposition,[],[f254,f74]) ).

fof(f74,axiom,
    ! [X0] :
      ( app(nil,X0) = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f254,plain,
    ( ! [X8,X6,X7] :
        ( sk4 != app(app(X7,cons(X6,nil)),X8)
        | ~ ssItem(X6)
        | ~ ssList(X7)
        | ~ ssList(X8)
        | sk3 != app(app(X8,cons(X6,nil)),X7) )
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f316,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f315]) ).

fof(f315,plain,
    ( $false
    | spl0_13 ),
    inference(resolution,[],[f308,f8]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f308,plain,
    ( ~ ssList(nil)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f281,plain,
    spl0_4,
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | spl0_4 ),
    inference(resolution,[],[f258,f238]) ).

fof(f238,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f206]) ).

fof(f206,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).

fof(f192,axiom,
    ( neq(sk2,nil)
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f258,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f279,plain,
    ( spl0_8
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f203,f256,f276]) ).

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | sk3 = app(sk6,cons(sk5,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f274,plain,
    ( spl0_7
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f202,f256,f271]) ).

fof(f202,axiom,
    ( ~ neq(sk4,nil)
    | sk4 = app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).

fof(f269,plain,
    ( spl0_6
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f201,f256,f266]) ).

fof(f201,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f264,plain,
    ( spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f200,f256,f261]) ).

fof(f200,axiom,
    ( ~ neq(sk4,nil)
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f259,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f213,f256,f253]) ).

fof(f213,plain,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk3 != app(app(X8,cons(X6,nil)),X7)
      | sk4 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ! [X8,X6,X7] :
      ( ~ neq(sk4,nil)
      | sk1 != app(app(X8,cons(X6,nil)),X7)
      | sk2 != app(app(X7,cons(X6,nil)),X8)
      | ~ ssList(X8)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC417-1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.12  % 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
% 0.12/0.32  % Computer : n018.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit   : 300
% 0.12/0.32  % WCLimit    : 300
% 0.12/0.32  % DateTime   : Sun May 19 03:40:22 EDT 2024
% 0.12/0.32  % CPUTime    : 
% 0.12/0.32  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.12/0.32  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/benchmark/theBenchmark.p
% 0.18/0.57  % (26177)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 (2997ds/56Mi)
% 0.18/0.57  % (26170)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 (2997ds/34Mi)
% 0.18/0.57  % (26172)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.18/0.57  % (26173)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.18/0.57  % (26174)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 (2997ds/34Mi)
% 0.18/0.57  % (26171)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 (2997ds/51Mi)
% 0.18/0.57  % (26175)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.18/0.57  % (26177)Refutation not found, incomplete strategy% (26177)------------------------------
% 0.18/0.57  % (26177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.57  % (26177)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.57  
% 0.18/0.57  % (26177)Memory used [KB]: 1189
% 0.18/0.57  % (26177)Time elapsed: 0.002 s
% 0.18/0.57  % (26177)Instructions burned: 4 (million)
% 0.18/0.57  % (26176)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 (2997ds/83Mi)
% 0.18/0.57  % (26177)------------------------------
% 0.18/0.57  % (26177)------------------------------
% 0.18/0.57  % (26178)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 theBenchmark for (2997ds/55Mi)
% 0.18/0.58  % (26174)Refutation not found, incomplete strategy% (26174)------------------------------
% 0.18/0.58  % (26174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.58  % (26174)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.58  
% 0.18/0.58  % (26174)Memory used [KB]: 1264
% 0.18/0.58  % (26174)Time elapsed: 0.008 s
% 0.18/0.58  % (26174)Instructions burned: 12 (million)
% 0.18/0.58  % (26174)------------------------------
% 0.18/0.58  % (26174)------------------------------
% 0.18/0.58  % (26170)Refutation not found, incomplete strategy% (26170)------------------------------
% 0.18/0.58  % (26170)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.58  % (26171)First to succeed.
% 0.18/0.58  % (26170)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.58  
% 0.18/0.58  % (26170)Memory used [KB]: 1250
% 0.18/0.58  % (26170)Time elapsed: 0.009 s
% 0.18/0.58  % (26170)Instructions burned: 13 (million)
% 0.18/0.58  % (26170)------------------------------
% 0.18/0.58  % (26170)------------------------------
% 0.18/0.58  % (26171)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26153"
% 0.18/0.58  % (26171)Refutation found. Thanks to Tanya!
% 0.18/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.58  % (26171)------------------------------
% 0.18/0.58  % (26171)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.18/0.58  % (26171)Termination reason: Refutation
% 0.18/0.58  
% 0.18/0.58  % (26171)Memory used [KB]: 1294
% 0.18/0.58  % (26171)Time elapsed: 0.010 s
% 0.18/0.58  % (26171)Instructions burned: 14 (million)
% 0.18/0.58  % (26153)Success in time 0.249 s
% 0.18/0.58  % Vampire---4.8 exiting
%------------------------------------------------------------------------------