%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC277-1 : 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 : n021.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 18:40:04 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   55 (  17 unt;   0 def)
%            Number of atoms       :  111 (  13 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  102 (  46   ~;  45   |;   0   &)
%                                         (  11 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  12 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f419,plain,
    $false,
    inference(avatar_sat_refutation,[],[f237,f246,f278,f315,f332,f339,f340,f341,f347,f369,f416,f418]) ).

fof(f418,plain,
    ~ spl0_18,
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl0_18 ),
    inference(resolution,[],[f368,f196]) ).

fof(f196,plain,
    ~ totalorderedP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ totalorderedP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f368,plain,
    ( totalorderedP(sk3)
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f366]) ).

fof(f366,plain,
    ( spl0_18
  <=> totalorderedP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f416,plain,
    spl0_17,
    inference(avatar_contradiction_clause,[],[f415]) ).

fof(f415,plain,
    ( $false
    | spl0_17 ),
    inference(resolution,[],[f364,f47]) ).

fof(f47,axiom,
    ! [X0] : ssItem(skaf44(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f364,plain,
    ( ~ ssItem(skaf44(sk3))
    | spl0_17 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl0_17
  <=> ssItem(skaf44(sk3)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f369,plain,
    ( ~ spl0_17
    | spl0_18
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f353,f344,f270,f366,f362]) ).

fof(f270,plain,
    ( spl0_10
  <=> ! [X1] :
        ( ~ ssItem(X1)
        | totalorderedP(cons(X1,nil)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f344,plain,
    ( spl0_16
  <=> sk3 = cons(skaf44(sk3),nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f353,plain,
    ( totalorderedP(sk3)
    | ~ ssItem(skaf44(sk3))
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f271,f346]) ).

fof(f346,plain,
    ( sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f344]) ).

fof(f271,plain,
    ( ! [X1] :
        ( totalorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f347,plain,
    ( spl0_16
    | ~ spl0_15
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f342,f243,f329,f344]) ).

fof(f329,plain,
    ( spl0_15
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f243,plain,
    ( spl0_4
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f342,plain,
    ( ~ ssList(sk3)
    | sk3 = cons(skaf44(sk3),nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f101,f245]) ).

fof(f245,plain,
    ( singletonP(sk3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f101,axiom,
    ! [X0] :
      ( ~ singletonP(X0)
      | ~ ssList(X0)
      | cons(skaf44(X0),nil) = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f341,plain,
    spl0_13,
    inference(avatar_split_clause,[],[f189,f312]) ).

fof(f312,plain,
    ( spl0_13
  <=> ssList(sk4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).

fof(f340,plain,
    spl0_15,
    inference(avatar_split_clause,[],[f188,f329]) ).

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

fof(f339,plain,
    ~ spl0_14,
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl0_14 ),
    inference(resolution,[],[f336,f4]) ).

fof(f4,axiom,
    totalorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f336,plain,
    ( ~ totalorderedP(nil)
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f196,f327]) ).

fof(f327,plain,
    ( nil = sk3
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f325]) ).

fof(f325,plain,
    ( spl0_14
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f332,plain,
    ( spl0_14
    | ~ spl0_15
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f323,f308,f329,f325]) ).

fof(f308,plain,
    ( spl0_12
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f323,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_12 ),
    inference(resolution,[],[f319,f80]) ).

fof(f80,axiom,
    ! [X0] :
      ( ~ segmentP(nil,X0)
      | ~ ssList(X0)
      | nil = X0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f319,plain,
    ( segmentP(nil,sk3)
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f192,f310]) ).

fof(f310,plain,
    ( nil = sk4
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f308]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f315,plain,
    ( spl0_12
    | ~ spl0_1
    | ~ spl0_13
    | spl0_3 ),
    inference(avatar_split_clause,[],[f302,f239,f312,f229,f308]) ).

fof(f229,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f239,plain,
    ( spl0_3
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f302,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl0_3 ),
    inference(resolution,[],[f100,f241]) ).

fof(f241,plain,
    ( ~ neq(sk4,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | X0 = X1
      | ~ ssList(X1)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

fof(f278,plain,
    spl0_10,
    inference(avatar_split_clause,[],[f67,f270]) ).

fof(f67,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | totalorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f246,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f243,f239]) ).

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

fof(f237,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f8,f229]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWC277-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12  % 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 : n021.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 18:38:41 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.47  % (1395)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)
% 0.19/0.47  % (1374)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.47  % (1374)First to succeed.
% 0.19/0.47  % (1390)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)
% 0.19/0.48  % (1387)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)
% 0.19/0.48  % (1380)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)
% 0.19/0.49  % (1382)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)
% 0.19/0.49  % (1374)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (1374)------------------------------
% 0.19/0.49  % (1374)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (1374)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (1374)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (1374)Memory used [KB]: 6140
% 0.19/0.49  % (1374)Time elapsed: 0.091 s
% 0.19/0.49  % (1374)Instructions burned: 10 (million)
% 0.19/0.49  % (1374)------------------------------
% 0.19/0.49  % (1374)------------------------------
% 0.19/0.49  % (1368)Success in time 0.148 s
%------------------------------------------------------------------------------