TSTP Solution File: SWC020-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC020-1 : 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 : n023.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 18:38:15 EDT 2022

% Result   : Unsatisfiable 0.17s 0.53s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (   5 unt;   0 def)
%            Number of atoms       :   88 (  17 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   88 (  41   ~;  41   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f351,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f264,f272,f273,f288,f289,f328,f350]) ).

fof(f350,plain,
    ( spl0_3
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f349]) ).

fof(f349,plain,
    ( $false
    | spl0_3
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f345,f245]) ).

fof(f245,plain,
    ( nil != sk1
    | spl0_3 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_3
  <=> nil = sk1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f345,plain,
    ( nil = sk1
    | ~ spl0_9 ),
    inference(superposition,[],[f191,f287]) ).

fof(f287,plain,
    ( nil = sk3
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f285]) ).

fof(f285,plain,
    ( spl0_9
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f191,axiom,
    sk1 = sk3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).

fof(f328,plain,
    ( ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f327,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f326,f186]) ).

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

fof(f326,plain,
    ( ~ ssList(sk1)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f314,f61]) ).

fof(f61,axiom,
    ! [X0] :
      ( frontsegP(X0,X0)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).

fof(f314,plain,
    ( ~ frontsegP(sk1,sk1)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f295,f191]) ).

fof(f295,plain,
    ( ~ frontsegP(sk1,sk3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f294,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f294,plain,
    ( ~ frontsegP(sk1,sk3)
    | ~ ssList(sk3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f292,f278]) ).

fof(f278,plain,
    ( frontsegP(sk2,sk3)
    | ~ spl0_8 ),
    inference(superposition,[],[f271,f190]) ).

fof(f190,axiom,
    sk2 = sk4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).

fof(f271,plain,
    ( frontsegP(sk4,sk3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f269,plain,
    ( spl0_8
  <=> frontsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f292,plain,
    ( ~ frontsegP(sk2,sk3)
    | ~ ssList(sk3)
    | ~ frontsegP(sk1,sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f192,f263]) ).

fof(f263,plain,
    ( neq(sk3,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_7
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f192,axiom,
    ! [X6] :
      ( ~ neq(X6,nil)
      | ~ frontsegP(sk1,X6)
      | ~ ssList(X6)
      | ~ frontsegP(sk2,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f289,plain,
    ( spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f197,f269,f285]) ).

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

fof(f288,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f196,f261,f285]) ).

fof(f196,axiom,
    ( neq(sk3,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f273,plain,
    ( spl0_4
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f266,f257,f247]) ).

fof(f247,plain,
    ( spl0_4
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f257,plain,
    ( spl0_6
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f266,plain,
    ( nil = sk2
    | ~ spl0_6 ),
    inference(superposition,[],[f190,f259]) ).

fof(f259,plain,
    ( nil = sk4
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f272,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f195,f257,f269]) ).

fof(f195,axiom,
    ( nil = sk4
    | frontsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f264,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f194,f261,f257]) ).

fof(f194,axiom,
    ( neq(sk3,nil)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f250,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f193,f247,f243]) ).

fof(f193,axiom,
    ( nil != sk2
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWC020-1 : TPTP v8.1.0. Released v2.4.0.
% 0.09/0.12  % 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 : n023.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 18:17:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.50  % (16190)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.17/0.51  % (16171)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)
% 0.17/0.51  % (16174)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.51  % (16187)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)
% 0.17/0.51  % (16174)First to succeed.
% 0.17/0.51  % (16182)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.17/0.52  % (16179)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)
% 0.17/0.52  % (16182)Instruction limit reached!
% 0.17/0.52  % (16182)------------------------------
% 0.17/0.52  % (16182)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (16174)Refutation found. Thanks to Tanya!
% 0.17/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.53  % (16174)------------------------------
% 0.17/0.53  % (16174)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.53  % (16174)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.53  % (16174)Termination reason: Refutation
% 0.17/0.53  
% 0.17/0.53  % (16174)Memory used [KB]: 6140
% 0.17/0.53  % (16174)Time elapsed: 0.110 s
% 0.17/0.53  % (16174)Instructions burned: 6 (million)
% 0.17/0.53  % (16174)------------------------------
% 0.17/0.53  % (16174)------------------------------
% 0.17/0.53  % (16164)Success in time 0.183 s
%------------------------------------------------------------------------------