TSTP Solution File: SWC024-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC024-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -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 Aug 31 18:38:16 EDT 2022

% Result   : Unsatisfiable 0.18s 0.47s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   44 (  20 unt;   0 def)
%            Number of atoms       :   80 (  17 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   70 (  34   ~;  33   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   4 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f793,plain,
    $false,
    inference(avatar_sat_refutation,[],[f214,f593,f763,f783]) ).

fof(f783,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f782]) ).

fof(f782,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f765,f475]) ).

fof(f475,plain,
    ~ neq(nil,nil),
    inference(unit_resulting_resolution,[],[f8,f219,f308,f193]) ).

fof(f193,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk1,X6)
      | ~ frontsegP(sk2,X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f308,plain,
    frontsegP(sk1,nil),
    inference(unit_resulting_resolution,[],[f215,f60]) ).

fof(f60,axiom,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).

fof(f215,plain,
    ssList(sk1),
    inference(backward_demodulation,[],[f188,f191]) ).

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

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).

fof(f219,plain,
    frontsegP(sk2,nil),
    inference(unit_resulting_resolution,[],[f187,f60]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).

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

fof(f765,plain,
    ( neq(nil,nil)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f192,f422]) ).

fof(f422,plain,
    ( nil = sk2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f421,plain,
    ( spl0_3
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f763,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f595,f211,f421]) ).

fof(f211,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f595,plain,
    ( nil = sk2
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f190,f213]) ).

fof(f213,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f211]) ).

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

fof(f593,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f592]) ).

fof(f592,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f584,f511]) ).

fof(f511,plain,
    ( neq(sk1,nil)
    | spl0_1 ),
    inference(unit_resulting_resolution,[],[f215,f8,f408,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f408,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(superposition,[],[f209,f191]) ).

fof(f209,plain,
    ( nil != sk3
    | spl0_1 ),
    inference(avatar_component_clause,[],[f207]) ).

fof(f207,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f584,plain,
    ~ neq(sk1,nil),
    inference(unit_resulting_resolution,[],[f215,f309,f441,f193]) ).

fof(f441,plain,
    frontsegP(sk2,sk1),
    inference(subsumption_resolution,[],[f440,f194]) ).

fof(f194,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f440,plain,
    ( ~ ssList(sk5)
    | frontsegP(sk2,sk1) ),
    inference(subsumption_resolution,[],[f439,f187]) ).

fof(f439,plain,
    ( ~ ssList(sk2)
    | frontsegP(sk2,sk1)
    | ~ ssList(sk5) ),
    inference(subsumption_resolution,[],[f417,f215]) ).

fof(f417,plain,
    ( frontsegP(sk2,sk1)
    | ~ ssList(sk1)
    | ~ ssList(sk5)
    | ~ ssList(sk2) ),
    inference(superposition,[],[f200,f217]) ).

fof(f217,plain,
    sk2 = app(sk1,sk5),
    inference(backward_demodulation,[],[f216,f190]) ).

fof(f216,plain,
    sk4 = app(sk1,sk5),
    inference(backward_demodulation,[],[f195,f191]) ).

fof(f195,axiom,
    sk4 = app(sk3,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f200,plain,
    ! [X0,X1] :
      ( frontsegP(app(X0,X1),X0)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1)) ),
    inference(equality_resolution,[],[f144]) ).

fof(f144,axiom,
    ! [X2,X0,X1] :
      ( ~ ssList(X1)
      | frontsegP(X2,X0)
      | app(X0,X1) != X2
      | ~ ssList(X0)
      | ~ ssList(X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).

fof(f309,plain,
    frontsegP(sk1,sk1),
    inference(unit_resulting_resolution,[],[f215,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f214,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f198,f211,f207]) ).

fof(f198,axiom,
    ( nil = sk4
    | nil != sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC024-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:13:01 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.44  % (30310)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.44  % (30308)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.18/0.45  % (30308)Instruction limit reached!
% 0.18/0.45  % (30308)------------------------------
% 0.18/0.45  % (30308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.45  % (30308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.45  % (30308)Termination reason: Unknown
% 0.18/0.45  % (30308)Termination phase: Property scanning
% 0.18/0.45  
% 0.18/0.45  % (30308)Memory used [KB]: 1535
% 0.18/0.45  % (30308)Time elapsed: 0.005 s
% 0.18/0.45  % (30308)Instructions burned: 4 (million)
% 0.18/0.45  % (30308)------------------------------
% 0.18/0.45  % (30308)------------------------------
% 0.18/0.45  % (30317)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.46  % (30325)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.46  % (30310)First to succeed.
% 0.18/0.47  % (30310)Refutation found. Thanks to Tanya!
% 0.18/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47  % (30310)------------------------------
% 0.18/0.47  % (30310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.47  % (30310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.47  % (30310)Termination reason: Refutation
% 0.18/0.47  
% 0.18/0.47  % (30310)Memory used [KB]: 6268
% 0.18/0.47  % (30310)Time elapsed: 0.069 s
% 0.18/0.47  % (30310)Instructions burned: 23 (million)
% 0.18/0.47  % (30310)------------------------------
% 0.18/0.47  % (30310)------------------------------
% 0.18/0.47  % (30305)Success in time 0.125 s
%------------------------------------------------------------------------------