TSTP Solution File: SWC217-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC217-1 : 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 : n014.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 18:39:40 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   28 (  15 unt;   0 def)
%            Number of atoms       :   48 (  13 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   45 (  25   ~;  19   |;   0   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f271,plain,
    $false,
    inference(avatar_sat_refutation,[],[f238,f268]) ).

fof(f268,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f266,f8]) ).

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

fof(f266,plain,
    ( ~ ssList(nil)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f259,f219]) ).

fof(f219,plain,
    ssItem(sk5),
    inference(subsumption_resolution,[],[f195,f199]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

fof(f195,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f259,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_2 ),
    inference(trivial_inequality_removal,[],[f250]) ).

fof(f250,plain,
    ( nil != nil
    | ~ ssItem(sk5)
    | ~ ssList(nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f99,f239]) ).

fof(f239,plain,
    ( nil = cons(sk5,nil)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f220,f217]) ).

fof(f217,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f215]) ).

fof(f215,plain,
    ( spl0_2
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f220,plain,
    sk3 = cons(sk5,nil),
    inference(subsumption_resolution,[],[f196,f199]) ).

fof(f196,axiom,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f99,axiom,
    ! [X0,X1] :
      ( cons(X0,X1) != X1
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

fof(f238,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f237,f215]) ).

fof(f237,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f223,f198]) ).

fof(f198,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(f223,plain,
    ( ~ ssList(sk3)
    | nil = sk3 ),
    inference(subsumption_resolution,[],[f222,f8]) ).

fof(f222,plain,
    ( ~ ssList(nil)
    | ~ ssList(sk3)
    | nil = sk3 ),
    inference(resolution,[],[f201,f100]) ).

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

fof(f201,plain,
    ~ neq(sk3,nil),
    inference(definition_unfolding,[],[f193,f191]) ).

fof(f193,axiom,
    ~ neq(sk1,nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SWC217-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31  % Computer : n014.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:35:48 EDT 2022
% 0.16/0.32  % CPUTime    : 
% 0.16/0.47  % (11749)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)
% 0.16/0.48  % (11766)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.16/0.48  % (11758)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.16/0.48  % (11757)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)
% 0.16/0.48  % (11765)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)
% 0.16/0.49  % (11758)Instruction limit reached!
% 0.16/0.49  % (11758)------------------------------
% 0.16/0.49  % (11758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.49  % (11758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.49  % (11758)Termination reason: Unknown
% 0.16/0.49  % (11758)Termination phase: Finite model building preprocessing
% 0.16/0.49  
% 0.16/0.49  % (11758)Memory used [KB]: 1535
% 0.16/0.49  % (11758)Time elapsed: 0.009 s
% 0.16/0.49  % (11758)Instructions burned: 6 (million)
% 0.16/0.49  % (11758)------------------------------
% 0.16/0.49  % (11758)------------------------------
% 0.16/0.49  % (11750)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.50  % (11743)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.16/0.50  % (11746)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.16/0.50  % (11750)First to succeed.
% 0.16/0.50  % (11750)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (11750)------------------------------
% 0.16/0.50  % (11750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (11750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (11750)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (11750)Memory used [KB]: 6012
% 0.16/0.50  % (11750)Time elapsed: 0.076 s
% 0.16/0.50  % (11750)Instructions burned: 4 (million)
% 0.16/0.50  % (11750)------------------------------
% 0.16/0.50  % (11750)------------------------------
% 0.16/0.50  % (11742)Success in time 0.181 s
%------------------------------------------------------------------------------