%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC122-1 : 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 18:38:57 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   41 (  11 unt;   0 def)
%            Number of atoms       :   98 (   9 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  111 (  54   ~;  53   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1442,plain,
    $false,
    inference(avatar_sat_refutation,[],[f227,f237,f242,f258,f1441]) ).

fof(f1441,plain,
    ( spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1440]) ).

fof(f1440,plain,
    ( $false
    | spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1439,f8]) ).

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

fof(f1439,plain,
    ( ~ ssList(nil)
    | spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1438,f189]) ).

fof(f189,axiom,
    ssList(sk4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).

fof(f1438,plain,
    ( ~ ssList(sk4)
    | ~ ssList(nil)
    | spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1431,f226]) ).

fof(f226,plain,
    ( ~ segmentP(sk4,sk3)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f224]) ).

fof(f224,plain,
    ( spl0_4
  <=> segmentP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1431,plain,
    ( segmentP(sk4,sk3)
    | ~ ssList(nil)
    | ~ ssList(sk4)
    | ~ spl0_7 ),
    inference(superposition,[],[f777,f264]) ).

fof(f264,plain,
    sk4 = app(sk4,nil),
    inference(resolution,[],[f73,f189]) ).

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

fof(f777,plain,
    ( ! [X22] :
        ( segmentP(app(sk4,X22),sk3)
        | ~ ssList(app(sk4,X22))
        | ~ ssList(X22) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f776,f188]) ).

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

fof(f776,plain,
    ( ! [X22] :
        ( ~ ssList(app(sk4,X22))
        | ~ ssList(X22)
        | segmentP(app(sk4,X22),sk3)
        | ~ ssList(sk3) )
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f762,f50]) ).

fof(f50,axiom,
    ! [X0,X1] : ssList(skaf46(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).

fof(f762,plain,
    ( ! [X22] :
        ( ~ ssList(app(sk4,X22))
        | ~ ssList(skaf46(sk4,sk3))
        | ~ ssList(X22)
        | ~ ssList(sk3)
        | segmentP(app(sk4,X22),sk3) )
    | ~ spl0_7 ),
    inference(superposition,[],[f202,f386]) ).

fof(f386,plain,
    ( sk4 = app(skaf46(sk4,sk3),sk3)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f385,f189]) ).

fof(f385,plain,
    ( sk4 = app(skaf46(sk4,sk3),sk3)
    | ~ ssList(sk4)
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f377,f188]) ).

fof(f377,plain,
    ( ~ ssList(sk3)
    | ~ ssList(sk4)
    | sk4 = app(skaf46(sk4,sk3),sk3)
    | ~ spl0_7 ),
    inference(resolution,[],[f131,f241]) ).

fof(f241,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_7
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f131,axiom,
    ! [X0,X1] :
      ( ~ rearsegP(X0,X1)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | app(skaf46(X0,X1),X1) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).

fof(f202,plain,
    ! [X2,X0,X1] :
      ( segmentP(app(app(X0,X1),X2),X1)
      | ~ ssList(X2)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | ~ ssList(app(app(X0,X1),X2)) ),
    inference(equality_resolution,[],[f173]) ).

fof(f173,axiom,
    ! [X2,X3,X0,X1] :
      ( segmentP(X3,X1)
      | ~ ssList(X3)
      | app(app(X0,X1),X2) != X3
      | ~ ssList(X0)
      | ~ ssList(X2)
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).

fof(f258,plain,
    spl0_6,
    inference(avatar_contradiction_clause,[],[f257]) ).

fof(f257,plain,
    ( $false
    | spl0_6 ),
    inference(subsumption_resolution,[],[f236,f199]) ).

fof(f199,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

fof(f192,axiom,
    neq(sk2,nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f236,plain,
    ( ~ neq(sk4,nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f234]) ).

fof(f234,plain,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f242,plain,
    ( ~ spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f196,f239,f234]) ).

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

fof(f237,plain,
    ( ~ spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f195,f220,f234]) ).

fof(f220,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f195,axiom,
    ( neq(sk3,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f227,plain,
    ( ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f200,f224,f220]) ).

fof(f200,plain,
    ( ~ segmentP(sk4,sk3)
    | ~ neq(sk3,nil) ),
    inference(definition_unfolding,[],[f194,f190,f191,f191]) ).

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

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWC122-1 : 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 18:20:26 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.46  % (24045)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)
% 0.18/0.46  % (24045)Instruction limit reached!
% 0.18/0.46  % (24045)------------------------------
% 0.18/0.46  % (24045)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46  % (24045)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46  % (24045)Termination reason: Unknown
% 0.18/0.46  % (24045)Termination phase: Property scanning
% 0.18/0.46  
% 0.18/0.46  % (24045)Memory used [KB]: 1535
% 0.18/0.46  % (24045)Time elapsed: 0.004 s
% 0.18/0.46  % (24045)Instructions burned: 3 (million)
% 0.18/0.46  % (24045)------------------------------
% 0.18/0.46  % (24045)------------------------------
% 0.18/0.47  % (24061)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.18/0.50  % (24041)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)
% 0.18/0.51  % (24053)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)
% 0.18/0.51  % (24053)Instruction limit reached!
% 0.18/0.51  % (24053)------------------------------
% 0.18/0.51  % (24053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (24053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (24053)Termination reason: Unknown
% 0.18/0.51  % (24053)Termination phase: Function definition elimination
% 0.18/0.51  
% 0.18/0.51  % (24053)Memory used [KB]: 1407
% 0.18/0.51  % (24053)Time elapsed: 0.002 s
% 0.18/0.51  % (24053)Instructions burned: 2 (million)
% 0.18/0.51  % (24053)------------------------------
% 0.18/0.51  % (24053)------------------------------
% 0.18/0.52  % (24038)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)
% 0.18/0.52  % (24063)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)
% 0.18/0.52  % (24042)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.52  % (24065)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)
% 0.18/0.52  % (24061)First to succeed.
% 0.18/0.53  % (24037)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.53  % (24043)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.18/0.53  % (24064)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.18/0.53  % (24059)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.18/0.53  % (24061)Refutation found. Thanks to Tanya!
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.53  % (24061)------------------------------
% 0.18/0.53  % (24061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (24061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (24061)Termination reason: Refutation
% 0.18/0.53  
% 0.18/0.53  % (24061)Memory used [KB]: 6524
% 0.18/0.53  % (24061)Time elapsed: 0.124 s
% 0.18/0.53  % (24061)Instructions burned: 44 (million)
% 0.18/0.53  % (24061)------------------------------
% 0.18/0.53  % (24061)------------------------------
% 0.18/0.53  % (24036)Success in time 0.186 s
%------------------------------------------------------------------------------