%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC189-1 : 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 : n006.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 18:39:27 EDT 2022

% Result   : Unsatisfiable 1.70s 0.59s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   34 (  14 unt;   0 def)
%            Number of atoms       :   68 (  12 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   62 (  28   ~;  29   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   6 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f373,plain,
    $false,
    inference(avatar_sat_refutation,[],[f335,f351,f353,f362,f366,f372]) ).

fof(f372,plain,
    ~ spl0_10,
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( sk5 != sk5
    | ~ spl0_10 ),
    inference(superposition,[],[f198,f318]) ).

fof(f318,plain,
    ( sk5 = sk6
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f316]) ).

fof(f316,plain,
    ( spl0_10
  <=> sk5 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f198,axiom,
    sk5 != sk6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).

fof(f366,plain,
    spl0_14,
    inference(avatar_contradiction_clause,[],[f364]) ).

fof(f364,plain,
    ( $false
    | spl0_14 ),
    inference(resolution,[],[f334,f194]) ).

fof(f194,axiom,
    ssItem(sk6),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f334,plain,
    ( ~ ssItem(sk6)
    | spl0_14 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl0_14
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f362,plain,
    spl0_13,
    inference(avatar_contradiction_clause,[],[f360]) ).

fof(f360,plain,
    ( $false
    | spl0_13 ),
    inference(resolution,[],[f330,f193]) ).

fof(f193,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f330,plain,
    ( ~ ssItem(sk5)
    | spl0_13 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f328,plain,
    ( spl0_13
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f353,plain,
    spl0_12,
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | spl0_12 ),
    inference(resolution,[],[f326,f196]) ).

fof(f196,axiom,
    ssList(sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f326,plain,
    ( ~ ssList(sk8)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f324]) ).

fof(f324,plain,
    ( spl0_12
  <=> ssList(sk8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f351,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f350]) ).

fof(f350,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f322,f195]) ).

fof(f195,axiom,
    ssList(sk7),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f322,plain,
    ( ~ ssList(sk7)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f320]) ).

fof(f320,plain,
    ( spl0_11
  <=> ssList(sk7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f335,plain,
    ( spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f314,f332,f328,f324,f320,f316]) ).

fof(f314,plain,
    ( ~ ssItem(sk6)
    | ~ ssItem(sk5)
    | ~ ssList(sk8)
    | ~ ssList(sk7)
    | sk5 = sk6 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( ~ ssItem(sk5)
    | ~ ssItem(sk6)
    | ~ ssList(sk8)
    | sk5 = sk6
    | sk3 != sk3
    | ~ ssList(sk7) ),
    inference(superposition,[],[f192,f201]) ).

fof(f201,plain,
    sk3 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    inference(definition_unfolding,[],[f197,f191]) ).

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

fof(f197,axiom,
    sk1 = app(app(app(sk7,cons(sk5,nil)),cons(sk6,nil)),sk8),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f192,axiom,
    ! [X8,X6,X9,X7] :
      ( sk3 != app(app(app(X8,cons(X6,nil)),cons(X7,nil)),X9)
      | ~ ssItem(X6)
      | ~ ssItem(X7)
      | ~ ssList(X9)
      | X6 = X7
      | ~ ssList(X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC189-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % 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 : n006.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 18:31:25 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.38/0.57  % (7563)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.70/0.57  % (7571)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)
% 1.70/0.58  % (7561)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)
% 1.70/0.58  % (7563)First to succeed.
% 1.70/0.58  % (7579)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)
% 1.70/0.59  % (7571)Instruction limit reached!
% 1.70/0.59  % (7571)------------------------------
% 1.70/0.59  % (7571)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (7570)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.70/0.59  % (7586)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)
% 1.70/0.59  % (7563)Refutation found. Thanks to Tanya!
% 1.70/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.70/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.70/0.59  % (7563)------------------------------
% 1.70/0.59  % (7563)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.70/0.59  % (7563)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.70/0.59  % (7563)Termination reason: Refutation
% 1.70/0.59  
% 1.70/0.59  % (7563)Memory used [KB]: 6140
% 1.70/0.59  % (7563)Time elapsed: 0.154 s
% 1.70/0.59  % (7563)Instructions burned: 10 (million)
% 1.70/0.59  % (7563)------------------------------
% 1.70/0.59  % (7563)------------------------------
% 1.70/0.59  % (7557)Success in time 0.242 s
%------------------------------------------------------------------------------