TSTP Solution File: SWC030-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC030-1 : 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 : n022.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 18:38:18 EDT 2022

% Result   : Unsatisfiable 0.17s 0.49s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   55 (   9 unt;   0 def)
%            Number of atoms       :  122 (  57 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  129 (  62   ~;  64   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f287,plain,
    $false,
    inference(avatar_sat_refutation,[],[f217,f218,f256,f262,f276,f286]) ).

fof(f286,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f285]) ).

fof(f285,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f284,f216]) ).

fof(f216,plain,
    ( nil != sk4
    | spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f284,plain,
    ( nil = sk4
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f283,f265]) ).

fof(f265,plain,
    ( nil = sk6
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f264,f192]) ).

fof(f192,axiom,
    ssList(sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f264,plain,
    ( nil = sk6
    | ~ ssList(sk5)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f263,f193]) ).

fof(f193,axiom,
    ssList(sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f263,plain,
    ( nil = sk6
    | ~ ssList(sk6)
    | ~ ssList(sk5)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f241,f211]) ).

fof(f211,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f210,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f241,plain,
    ( nil != sk3
    | ~ ssList(sk6)
    | nil = sk6
    | ~ ssList(sk5) ),
    inference(superposition,[],[f118,f195]) ).

fof(f195,axiom,
    sk3 = app(sk6,sk5),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f118,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).

fof(f283,plain,
    ( sk4 = sk6
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f279,f230]) ).

fof(f230,plain,
    sk6 = app(nil,sk6),
    inference(resolution,[],[f74,f193]) ).

fof(f74,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(nil,X0) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).

fof(f279,plain,
    ( sk4 = app(nil,sk6)
    | ~ spl0_3 ),
    inference(superposition,[],[f194,f261]) ).

fof(f261,plain,
    ( nil = sk5
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_3
  <=> nil = sk5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f194,axiom,
    sk4 = app(sk5,sk6),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f276,plain,
    ( spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f275,f210,f259]) ).

fof(f275,plain,
    ( nil = sk5
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f274,f211]) ).

fof(f274,plain,
    ( nil != sk3
    | nil = sk5 ),
    inference(subsumption_resolution,[],[f273,f192]) ).

fof(f273,plain,
    ( ~ ssList(sk5)
    | nil != sk3
    | nil = sk5 ),
    inference(subsumption_resolution,[],[f270,f193]) ).

fof(f270,plain,
    ( ~ ssList(sk6)
    | nil != sk3
    | nil = sk5
    | ~ ssList(sk5) ),
    inference(superposition,[],[f119,f195]) ).

fof(f119,axiom,
    ! [X0,X1] :
      ( nil != app(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | nil = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).

fof(f262,plain,
    ( ~ spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f257,f259,f214]) ).

fof(f257,plain,
    ( nil = sk5
    | nil != sk4 ),
    inference(subsumption_resolution,[],[f244,f193]) ).

fof(f244,plain,
    ( nil != sk4
    | ~ ssList(sk6)
    | nil = sk5 ),
    inference(subsumption_resolution,[],[f239,f192]) ).

fof(f239,plain,
    ( ~ ssList(sk5)
    | ~ ssList(sk6)
    | nil != sk4
    | nil = sk5 ),
    inference(superposition,[],[f118,f194]) ).

fof(f256,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f255]) ).

fof(f255,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f254,f212]) ).

fof(f212,plain,
    ( nil != sk3
    | spl0_1 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f254,plain,
    ( nil = sk3
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f253,f215]) ).

fof(f215,plain,
    ( nil = sk4
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f253,plain,
    ( sk3 = sk4
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f252,f251]) ).

fof(f251,plain,
    ( sk3 = sk6
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f248,f224]) ).

fof(f224,plain,
    sk6 = app(sk6,nil),
    inference(resolution,[],[f73,f193]) ).

fof(f73,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | app(X0,nil) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).

fof(f248,plain,
    ( sk3 = app(sk6,nil)
    | ~ spl0_2 ),
    inference(superposition,[],[f195,f246]) ).

fof(f246,plain,
    ( nil = sk5
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f245,f193]) ).

fof(f245,plain,
    ( nil = sk5
    | ~ ssList(sk6)
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f244,f215]) ).

fof(f252,plain,
    ( sk4 = sk6
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f249,f230]) ).

fof(f249,plain,
    ( sk4 = app(nil,sk6)
    | ~ spl0_2 ),
    inference(superposition,[],[f194,f246]) ).

fof(f218,plain,
    ( spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f205,f210,f214]) ).

fof(f205,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f196,f191,f190]) ).

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

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

fof(f196,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f217,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f200,f214,f210]) ).

fof(f200,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f199,f191,f190]) ).

fof(f199,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC030-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % 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 : n022.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 18:00:26 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.17/0.46  % (329)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)
% 0.17/0.47  % (324)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)
% 0.17/0.47  % (321)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.17/0.47  % (324)First to succeed.
% 0.17/0.47  % (337)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)
% 0.17/0.47  % (331)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.17/0.47  % (337)Instruction limit reached!
% 0.17/0.47  % (337)------------------------------
% 0.17/0.47  % (337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.47  % (337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.47  % (337)Termination reason: Unknown
% 0.17/0.47  % (337)Termination phase: Function definition elimination
% 0.17/0.47  
% 0.17/0.47  % (337)Memory used [KB]: 1407
% 0.17/0.47  % (337)Time elapsed: 0.002 s
% 0.17/0.47  % (337)Instructions burned: 2 (million)
% 0.17/0.47  % (337)------------------------------
% 0.17/0.47  % (337)------------------------------
% 0.17/0.48  % (329)Instruction limit reached!
% 0.17/0.48  % (329)------------------------------
% 0.17/0.48  % (329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.48  % (329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.48  % (329)Termination reason: Unknown
% 0.17/0.48  % (329)Termination phase: Property scanning
% 0.17/0.48  
% 0.17/0.48  % (329)Memory used [KB]: 1535
% 0.17/0.48  % (329)Time elapsed: 0.004 s
% 0.17/0.48  % (329)Instructions burned: 3 (million)
% 0.17/0.48  % (329)------------------------------
% 0.17/0.48  % (329)------------------------------
% 0.17/0.49  % (323)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.17/0.49  % (352)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.17/0.49  % (323)Instruction limit reached!
% 0.17/0.49  % (323)------------------------------
% 0.17/0.49  % (323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (323)Termination reason: Unknown
% 0.17/0.49  % (323)Termination phase: Property scanning
% 0.17/0.49  
% 0.17/0.49  % (323)Memory used [KB]: 1535
% 0.17/0.49  % (323)Time elapsed: 0.003 s
% 0.17/0.49  % (323)Instructions burned: 5 (million)
% 0.17/0.49  % (323)------------------------------
% 0.17/0.49  % (323)------------------------------
% 0.17/0.49  % (331)Instruction limit reached!
% 0.17/0.49  % (331)------------------------------
% 0.17/0.49  % (331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (331)Termination reason: Unknown
% 0.17/0.49  % (331)Termination phase: Saturation
% 0.17/0.49  
% 0.17/0.49  % (331)Memory used [KB]: 6012
% 0.17/0.49  % (331)Time elapsed: 0.006 s
% 0.17/0.49  % (331)Instructions burned: 7 (million)
% 0.17/0.49  % (331)------------------------------
% 0.17/0.49  % (331)------------------------------
% 0.17/0.49  % (324)Refutation found. Thanks to Tanya!
% 0.17/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49  % (324)------------------------------
% 0.17/0.49  % (324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.49  % (324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.49  % (324)Termination reason: Refutation
% 0.17/0.49  
% 0.17/0.49  % (324)Memory used [KB]: 6012
% 0.17/0.49  % (324)Time elapsed: 0.094 s
% 0.17/0.49  % (324)Instructions burned: 3 (million)
% 0.17/0.49  % (324)------------------------------
% 0.17/0.49  % (324)------------------------------
% 0.17/0.49  % (316)Success in time 0.155 s
%------------------------------------------------------------------------------