%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC369-1 : 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 : n028.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 18:40:45 EDT 2022

% Result   : Unsatisfiable 0.21s 0.58s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (   9 unt;   0 def)
%            Number of atoms       :   68 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   60 (  27   ~;  29   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f349,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f280,f291,f327,f346]) ).

fof(f346,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl0_10 ),
    inference(subsumption_resolution,[],[f342,f192]) ).

fof(f192,axiom,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f342,plain,
    ( segmentP(sk2,sk1)
    | ~ spl0_10 ),
    inference(superposition,[],[f334,f191]) ).

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

fof(f334,plain,
    ( segmentP(sk2,sk3)
    | ~ spl0_10 ),
    inference(superposition,[],[f290,f190]) ).

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

fof(f290,plain,
    ( segmentP(sk4,sk3)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl0_10
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f327,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f326]) ).

fof(f326,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f324,f187]) ).

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

fof(f324,plain,
    ( ~ ssList(sk2)
    | ~ spl0_1 ),
    inference(resolution,[],[f310,f56]) ).

fof(f56,axiom,
    ! [X0] :
      ( segmentP(X0,nil)
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f310,plain,
    ( ~ segmentP(sk2,nil)
    | ~ spl0_1 ),
    inference(superposition,[],[f192,f294]) ).

fof(f294,plain,
    ( nil = sk1
    | ~ spl0_1 ),
    inference(superposition,[],[f191,f235]) ).

fof(f235,plain,
    ( nil = sk3
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f233,plain,
    ( spl0_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f291,plain,
    ( ~ spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f195,f288,f270]) ).

fof(f270,plain,
    ( spl0_9
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f195,axiom,
    ( segmentP(sk4,sk3)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f280,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f278,f8]) ).

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

fof(f278,plain,
    ( ~ ssList(nil)
    | spl0_2
    | spl0_9 ),
    inference(subsumption_resolution,[],[f277,f239]) ).

fof(f239,plain,
    ( nil != sk4
    | spl0_2 ),
    inference(avatar_component_clause,[],[f237]) ).

fof(f237,plain,
    ( spl0_2
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f277,plain,
    ( nil = sk4
    | ~ ssList(nil)
    | spl0_9 ),
    inference(subsumption_resolution,[],[f274,f189]) ).

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

fof(f274,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | nil = sk4
    | spl0_9 ),
    inference(resolution,[],[f272,f100]) ).

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

fof(f272,plain,
    ( ~ neq(sk4,nil)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f240,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f193,f237,f233]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SWC369-1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 18:59:19 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.56  % (28704)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.57  % (28704)First to succeed.
% 0.21/0.58  % (28696)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.21/0.58  % (28699)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)
% 0.21/0.58  % (28704)Refutation found. Thanks to Tanya!
% 0.21/0.58  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.58  % (28704)------------------------------
% 0.21/0.58  % (28704)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (28704)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (28704)Termination reason: Refutation
% 0.21/0.58  
% 0.21/0.58  % (28704)Memory used [KB]: 6140
% 0.21/0.58  % (28704)Time elapsed: 0.135 s
% 0.21/0.58  % (28704)Instructions burned: 6 (million)
% 0.21/0.58  % (28704)------------------------------
% 0.21/0.58  % (28704)------------------------------
% 0.21/0.58  % (28694)Success in time 0.229 s
%------------------------------------------------------------------------------