TSTP Solution File: SWC038-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC038-1 : 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 : n015.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 18:38:21 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   27 (  14 unt;   0 def)
%            Number of atoms       :   43 (  11 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   32 (  16   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   3 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f341,plain,
    $false,
    inference(avatar_sat_refutation,[],[f315,f317,f340]) ).

fof(f340,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f339]) ).

fof(f339,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f319,f299]) ).

fof(f299,plain,
    frontsegP(sk3,sk4),
    inference(unit_resulting_resolution,[],[f227,f244]) ).

fof(f244,plain,
    ! [X0] :
      ( frontsegP(X0,sk4)
      | ~ ssList(X0) ),
    inference(definition_unfolding,[],[f60,f198]) ).

fof(f198,plain,
    nil = sk4,
    inference(definition_unfolding,[],[f190,f191]) ).

fof(f191,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f190,axiom,
    nil = sk2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f60,axiom,
    ! [X0] :
      ( frontsegP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).

fof(f227,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f192]) ).

fof(f192,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).

fof(f319,plain,
    ( ~ frontsegP(sk3,sk4)
    | ~ spl0_1 ),
    inference(unit_resulting_resolution,[],[f227,f206,f233,f310,f129]) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( ~ frontsegP(X0,X1)
      | ~ frontsegP(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).

fof(f310,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f308,plain,
    ( spl0_1
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f233,plain,
    sk3 != sk4,
    inference(definition_unfolding,[],[f193,f198,f192]) ).

fof(f193,axiom,
    nil != sk1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f206,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f191]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f317,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f314,f233]) ).

fof(f314,plain,
    ( sk3 = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f312]) ).

fof(f312,plain,
    ( spl0_2
  <=> sk3 = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f315,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f208,f312,f308]) ).

fof(f208,plain,
    ( sk3 = sk4
    | frontsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f197,f198]) ).

fof(f197,axiom,
    ( frontsegP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC038-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n015.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:13:06 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (16680)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (16672)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.51  % (16670)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.51  % (16664)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (16658)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52  % (16676)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.19/0.52  % (16680)First to succeed.
% 0.19/0.52  % (16664)Also succeeded, but the first one will report.
% 0.19/0.52  % (16680)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (16680)------------------------------
% 0.19/0.52  % (16680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (16680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (16680)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (16680)Memory used [KB]: 6140
% 0.19/0.52  % (16680)Time elapsed: 0.067 s
% 0.19/0.52  % (16680)Instructions burned: 10 (million)
% 0.19/0.52  % (16680)------------------------------
% 0.19/0.52  % (16680)------------------------------
% 0.19/0.52  % (16657)Success in time 0.177 s
%------------------------------------------------------------------------------