TSTP Solution File: SWC386-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC386-1 : 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 : n009.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 18:40:52 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   55 (   5 unt;   0 def)
%            Number of atoms       :  128 (  31 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  128 (  55   ~;  69   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f322,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f264,f271,f298,f318,f321]) ).

fof(f321,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f320]) ).

fof(f320,plain,
    ( $false
    | spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f319,f241]) ).

fof(f241,plain,
    ( ~ ssItem(sk5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f319,plain,
    ( ssItem(sk5)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f234,f249]) ).

fof(f249,plain,
    ( nil != sk2
    | spl0_3 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl0_3
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f234,plain,
    ( nil = sk2
    | ssItem(sk5) ),
    inference(forward_demodulation,[],[f192,f190]) ).

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

fof(f192,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f318,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | ~ spl0_2
    | spl0_3 ),
    inference(subsumption_resolution,[],[f316,f242]) ).

fof(f242,plain,
    ( ssItem(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f316,plain,
    ( ~ ssItem(sk5)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f315,f305]) ).

fof(f305,plain,
    ( memberP(sk2,sk5)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f245,f249]) ).

fof(f245,plain,
    ( memberP(sk2,sk5)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f244,f190]) ).

fof(f244,plain,
    ( memberP(sk4,sk5)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( nil = sk4
    | memberP(sk4,sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f315,plain,
    ( ~ memberP(sk2,sk5)
    | ~ ssItem(sk5)
    | spl0_3 ),
    inference(trivial_inequality_removal,[],[f314]) ).

fof(f314,plain,
    ( ~ memberP(sk2,sk5)
    | sk3 != sk3
    | ~ ssItem(sk5)
    | spl0_3 ),
    inference(superposition,[],[f313,f312]) ).

fof(f312,plain,
    ( sk3 = cons(sk5,nil)
    | spl0_3 ),
    inference(subsumption_resolution,[],[f266,f249]) ).

fof(f266,plain,
    ( sk3 = cons(sk5,nil)
    | nil = sk2 ),
    inference(forward_demodulation,[],[f194,f190]) ).

fof(f194,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f313,plain,
    ( ! [X6] :
        ( sk3 != cons(X6,nil)
        | ~ ssItem(X6)
        | ~ memberP(sk2,X6) )
    | spl0_3 ),
    inference(subsumption_resolution,[],[f299,f249]) ).

fof(f299,plain,
    ! [X6] :
      ( sk3 != cons(X6,nil)
      | ~ ssItem(X6)
      | nil = sk2
      | ~ memberP(sk2,X6) ),
    inference(forward_demodulation,[],[f199,f191]) ).

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

fof(f199,axiom,
    ! [X6] :
      ( nil = sk2
      | ~ memberP(sk2,X6)
      | sk1 != cons(X6,nil)
      | ~ ssItem(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

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

fof(f297,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f296,f263]) ).

fof(f263,plain,
    ( neq(nil,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f261,plain,
    ( spl0_5
  <=> neq(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f296,plain,
    ( ~ neq(nil,nil)
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f280,f250]) ).

fof(f250,plain,
    ( nil = sk2
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f280,plain,
    ~ neq(sk2,sk2),
    inference(resolution,[],[f229,f187]) ).

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

fof(f229,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(duplicate_literal_removal,[],[f219]) ).

fof(f219,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ ssList(X1)
      | ~ neq(X1,X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | X0 != X1
      | ~ ssList(X0)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f271,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f270]) ).

fof(f270,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f269,f242]) ).

fof(f269,plain,
    ( ~ ssItem(sk5)
    | spl0_1
    | ~ spl0_3 ),
    inference(resolution,[],[f71,f265]) ).

fof(f265,plain,
    ( memberP(nil,sk5)
    | spl0_1
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f259,f237]) ).

fof(f237,plain,
    ( nil != sk3
    | spl0_1 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f259,plain,
    ( memberP(nil,sk5)
    | nil = sk3
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f246,f250]) ).

fof(f246,plain,
    ( memberP(sk2,sk5)
    | nil = sk3 ),
    inference(forward_demodulation,[],[f197,f190]) ).

fof(f197,axiom,
    ( memberP(sk4,sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).

fof(f264,plain,
    ( ~ spl0_1
    | spl0_5
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f258,f248,f261,f236]) ).

fof(f258,plain,
    ( neq(nil,nil)
    | nil != sk3
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f257,f250]) ).

fof(f257,plain,
    ( nil != sk3
    | neq(sk2,nil) ),
    inference(forward_demodulation,[],[f200,f191]) ).

fof(f200,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f243,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f193,f240,f236]) ).

fof(f193,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC386-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12  % 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 : n009.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 18:49:35 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.50  % (27705)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)
% 0.18/0.50  % (27705)First to succeed.
% 0.18/0.51  % (27702)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.18/0.51  % (27702)Instruction limit reached!
% 0.18/0.51  % (27702)------------------------------
% 0.18/0.51  % (27702)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (27702)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (27702)Termination reason: Unknown
% 0.18/0.51  % (27702)Termination phase: Property scanning
% 0.18/0.51  
% 0.18/0.51  % (27702)Memory used [KB]: 1535
% 0.18/0.51  % (27702)Time elapsed: 0.003 s
% 0.18/0.51  % (27702)Instructions burned: 3 (million)
% 0.18/0.51  % (27702)------------------------------
% 0.18/0.51  % (27702)------------------------------
% 0.18/0.51  % (27713)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)
% 0.18/0.51  % (27694)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.51  % (27718)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.51  % (27710)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51  % (27710)Instruction limit reached!
% 0.18/0.51  % (27710)------------------------------
% 0.18/0.51  % (27710)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (27710)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (27710)Termination reason: Unknown
% 0.18/0.51  % (27710)Termination phase: shuffling
% 0.18/0.51  
% 0.18/0.51  % (27710)Memory used [KB]: 1407
% 0.18/0.51  % (27710)Time elapsed: 0.004 s
% 0.18/0.51  % (27710)Instructions burned: 2 (million)
% 0.18/0.51  % (27710)------------------------------
% 0.18/0.51  % (27710)------------------------------
% 0.18/0.52  % (27718)Also succeeded, but the first one will report.
% 0.18/0.52  % (27705)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (27705)------------------------------
% 0.18/0.52  % (27705)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (27705)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (27705)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (27705)Memory used [KB]: 6012
% 0.18/0.52  % (27705)Time elapsed: 0.102 s
% 0.18/0.52  % (27705)Instructions burned: 8 (million)
% 0.18/0.52  % (27705)------------------------------
% 0.18/0.52  % (27705)------------------------------
% 0.18/0.52  % (27693)Success in time 0.177 s
%------------------------------------------------------------------------------