TSTP Solution File: SWC322-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC322-1 : 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 : n011.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 18:40:25 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   46 (   3 unt;   0 def)
%            Number of atoms       :  105 (  41 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  105 (  46   ~;  53   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f299,plain,
    $false,
    inference(avatar_sat_refutation,[],[f220,f225,f226,f231,f236,f241,f242,f243,f244,f298]) ).

fof(f298,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(avatar_contradiction_clause,[],[f297]) ).

fof(f297,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6 ),
    inference(subsumption_resolution,[],[f296,f240]) ).

fof(f240,plain,
    ( sk3 != app(cons(sk5,nil),sk6)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_6
  <=> sk3 = app(cons(sk5,nil),sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f296,plain,
    ( sk3 = app(cons(sk5,nil),sk6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f295,f224]) ).

fof(f224,plain,
    ( ssItem(sk5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl0_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f295,plain,
    ( ~ ssItem(sk5)
    | sk3 = app(cons(sk5,nil),sk6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f294,f235]) ).

fof(f235,plain,
    ( ssList(sk6)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_5
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f294,plain,
    ( ~ ssList(sk6)
    | ~ ssItem(sk5)
    | sk3 = app(cons(sk5,nil),sk6)
    | ~ spl0_4 ),
    inference(trivial_inequality_removal,[],[f293]) ).

fof(f293,plain,
    ( ~ ssItem(sk5)
    | sk4 != sk4
    | sk3 = app(cons(sk5,nil),sk6)
    | ~ ssList(sk6)
    | ~ spl0_4 ),
    inference(superposition,[],[f192,f230]) ).

fof(f230,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl0_4
  <=> sk4 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f192,axiom,
    ! [X6,X7] :
      ( sk4 != app(X7,cons(X6,nil))
      | sk3 = app(cons(X6,nil),X7)
      | ~ ssList(X7)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f244,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f207,f217,f228]) ).

fof(f217,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f207,plain,
    ( nil = sk4
    | sk4 = app(sk6,cons(sk5,nil)) ),
    inference(definition_unfolding,[],[f197,f190,f190]) ).

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

fof(f197,axiom,
    ( sk2 = app(sk6,cons(sk5,nil))
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f243,plain,
    ( spl0_5
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f203,f213,f233]) ).

fof(f213,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f203,plain,
    ( nil != sk3
    | ssList(sk6) ),
    inference(definition_unfolding,[],[f199,f191]) ).

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

fof(f199,axiom,
    ( nil != sk1
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f242,plain,
    ( ~ spl0_6
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f205,f213,f238]) ).

fof(f205,plain,
    ( nil != sk3
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(definition_unfolding,[],[f201,f191,f191]) ).

fof(f201,axiom,
    ( nil != sk1
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f241,plain,
    ( ~ spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f209,f217,f238]) ).

fof(f209,plain,
    ( nil = sk4
    | sk3 != app(cons(sk5,nil),sk6) ),
    inference(definition_unfolding,[],[f198,f190,f191]) ).

fof(f198,axiom,
    ( nil = sk2
    | sk1 != app(cons(sk5,nil),sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f236,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f208,f233,f217]) ).

fof(f208,plain,
    ( ssList(sk6)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f196,f190]) ).

fof(f196,axiom,
    ( nil = sk2
    | ssList(sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f231,plain,
    ( ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f204,f228,f213]) ).

fof(f204,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | nil != sk3 ),
    inference(definition_unfolding,[],[f200,f190,f191]) ).

fof(f200,axiom,
    ( sk2 = app(sk6,cons(sk5,nil))
    | nil != sk1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f226,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f211,f213,f222]) ).

fof(f211,plain,
    ( nil != sk3
    | ssItem(sk5) ),
    inference(definition_unfolding,[],[f195,f191]) ).

fof(f195,axiom,
    ( nil != sk1
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f225,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f222,f217]) ).

fof(f206,plain,
    ( ssItem(sk5)
    | nil = sk4 ),
    inference(definition_unfolding,[],[f194,f190]) ).

fof(f194,axiom,
    ( nil = sk2
    | ssItem(sk5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f220,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f217,f213]) ).

fof(f193,axiom,
    ( nil != sk4
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SWC322-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 18:44:10 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.51  % (12353)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51  % (12353)Instruction limit reached!
% 0.20/0.51  % (12353)------------------------------
% 0.20/0.51  % (12353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (12362)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)
% 0.20/0.51  % (12366)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.20/0.51  % (12354)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)
% 0.20/0.52  % (12358)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)
% 0.20/0.52  % (12353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12353)Termination reason: Unknown
% 0.20/0.52  % (12353)Termination phase: Equality resolution with deletion
% 0.20/0.52  
% 0.20/0.52  % (12353)Memory used [KB]: 1535
% 0.20/0.52  % (12353)Time elapsed: 0.004 s
% 0.20/0.52  % (12353)Instructions burned: 4 (million)
% 0.20/0.52  % (12353)------------------------------
% 0.20/0.52  % (12353)------------------------------
% 0.20/0.52  % (12344)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)
% 0.20/0.53  % (12366)First to succeed.
% 0.20/0.53  % (12354)Also succeeded, but the first one will report.
% 0.20/0.53  % (12366)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (12366)------------------------------
% 0.20/0.53  % (12366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12366)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (12366)Memory used [KB]: 6140
% 0.20/0.53  % (12366)Time elapsed: 0.117 s
% 0.20/0.53  % (12366)Instructions burned: 6 (million)
% 0.20/0.53  % (12366)------------------------------
% 0.20/0.53  % (12366)------------------------------
% 0.20/0.53  % (12339)Success in time 0.167 s
%------------------------------------------------------------------------------