%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC105-1 : 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 18:38:50 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   54 (   7 unt;   0 def)
%            Number of atoms       :  126 (  19 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  129 (  57   ~;  64   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   9 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f343,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f267,f272,f278,f284,f300,f302,f303,f304,f312,f318,f340,f342]) ).

fof(f342,plain,
    spl0_15,
    inference(avatar_contradiction_clause,[],[f341]) ).

fof(f341,plain,
    ( $false
    | spl0_15 ),
    inference(resolution,[],[f339,f188]) ).

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

fof(f339,plain,
    ( ~ ssList(sk3)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f337]) ).

fof(f337,plain,
    ( spl0_15
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f340,plain,
    ( spl0_7
    | ~ spl0_15
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f330,f269,f254,f337,f264]) ).

fof(f264,plain,
    ( spl0_7
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f254,plain,
    ( spl0_5
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

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

fof(f330,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(resolution,[],[f82,f319]) ).

fof(f319,plain,
    ( rearsegP(nil,sk3)
    | ~ spl0_5
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f270,f256]) ).

fof(f256,plain,
    ( nil = sk4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f270,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f269]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).

fof(f318,plain,
    ( spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f317]) ).

fof(f317,plain,
    ( $false
    | spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(resolution,[],[f313,f307]) ).

fof(f307,plain,
    ( neq(nil,nil)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f261,f256]) ).

fof(f261,plain,
    ( neq(sk4,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f259,plain,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f313,plain,
    ( ~ neq(nil,nil)
    | spl0_4
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f251,f266]) ).

fof(f266,plain,
    ( nil = sk3
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f251,plain,
    ( ~ neq(sk3,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_4
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f312,plain,
    ( ~ spl0_14
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f311,f269,f264,f254,f297]) ).

fof(f297,plain,
    ( spl0_14
  <=> rearsegP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f311,plain,
    ( ~ rearsegP(nil,nil)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f310,f256]) ).

fof(f310,plain,
    ( ~ rearsegP(sk4,nil)
    | ~ spl0_7
    | spl0_8 ),
    inference(forward_demodulation,[],[f271,f266]) ).

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

fof(f304,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f241]) ).

fof(f241,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f8,axiom,
    ssList(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).

fof(f303,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f197,f254,f269]) ).

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

fof(f302,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f199,f264,f269]) ).

fof(f199,axiom,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f300,plain,
    ( ~ spl0_2
    | spl0_14 ),
    inference(avatar_split_clause,[],[f225,f297,f241]) ).

fof(f225,plain,
    ( rearsegP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f81]) ).

fof(f81,axiom,
    ! [X0] :
      ( ~ ssList(X0)
      | nil != X0
      | rearsegP(nil,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause81) ).

fof(f284,plain,
    ( ~ spl0_4
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f201,f269,f264,f250]) ).

fof(f201,plain,
    ( ~ rearsegP(sk4,sk3)
    | nil != sk3
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f195,f190,f191,f191,f191]) ).

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

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

fof(f195,axiom,
    ( ~ rearsegP(sk2,sk1)
    | nil != sk1
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f278,plain,
    ( spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f205,f264,f259]) ).

fof(f205,plain,
    ( nil != sk3
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f194,f190,f191]) ).

fof(f194,axiom,
    ( neq(sk2,nil)
    | nil != sk1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f272,plain,
    ( ~ spl0_4
    | spl0_5
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f204,f269,f254,f250]) ).

fof(f204,plain,
    ( ~ rearsegP(sk4,sk3)
    | nil = sk4
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f193,f190,f191,f191,f190]) ).

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

fof(f267,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f198,f264,f250]) ).

fof(f198,axiom,
    ( nil = sk3
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f257,plain,
    ( spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f196,f254,f250]) ).

fof(f196,axiom,
    ( nil = sk4
    | neq(sk3,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC105-1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 18:16:20 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (28094)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.48  % (28094)First to succeed.
% 0.19/0.48  % (28119)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.49  % (28110)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.49  % (28102)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)
% 0.19/0.50  % (28094)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (28094)------------------------------
% 0.19/0.50  % (28094)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (28094)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (28094)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (28094)Memory used [KB]: 6140
% 0.19/0.50  % (28094)Time elapsed: 0.091 s
% 0.19/0.50  % (28094)Instructions burned: 8 (million)
% 0.19/0.50  % (28094)------------------------------
% 0.19/0.50  % (28094)------------------------------
% 0.19/0.50  % (28084)Success in time 0.145 s
%------------------------------------------------------------------------------