%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC106-1 : 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 18:38:50 EDT 2022

% Result   : Unsatisfiable 1.52s 0.57s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   54 (   8 unt;   0 def)
%            Number of atoms       :  139 (  19 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  163 (  78   ~;  77   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   9 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f369,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f247,f248,f259,f261,f262,f281,f347,f368]) ).

fof(f368,plain,
    ( ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f366,f8]) ).

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

fof(f366,plain,
    ( ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f365,f273]) ).

fof(f273,plain,
    ( nil = sk3
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f271]) ).

fof(f271,plain,
    ( spl0_9
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f365,plain,
    ( nil != sk3
    | ~ ssList(nil)
    | ~ spl0_4
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f293,f240]) ).

fof(f240,plain,
    ( ssItem(sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_4
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f293,plain,
    ( ~ ssItem(sk5)
    | nil != sk3
    | ~ ssList(nil)
    | ~ spl0_6 ),
    inference(superposition,[],[f98,f253]) ).

fof(f253,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f251]) ).

fof(f251,plain,
    ( spl0_6
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f98,axiom,
    ! [X0,X1] :
      ( nil != cons(X0,X1)
      | ~ ssList(X1)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).

fof(f347,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f346,f256,f251,f244,f225]) ).

fof(f225,plain,
    ( spl0_1
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f244,plain,
    ( spl0_5
  <=> sk4 = app(sk6,cons(sk5,nil)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f256,plain,
    ( spl0_7
  <=> ssList(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f346,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f345,f189]) ).

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

fof(f345,plain,
    ( rearsegP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f321,f188]) ).

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

fof(f321,plain,
    ( ~ ssList(sk3)
    | rearsegP(sk4,sk3)
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f316,f258]) ).

fof(f258,plain,
    ( ssList(sk6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f316,plain,
    ( ~ ssList(sk6)
    | rearsegP(sk4,sk3)
    | ~ ssList(sk3)
    | ~ ssList(sk4)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f216,f263]) ).

fof(f263,plain,
    ( sk4 = app(sk6,sk3)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f246,f253]) ).

fof(f246,plain,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f216,plain,
    ! [X0,X1] :
      ( rearsegP(app(X0,X1),X1)
      | ~ ssList(X0)
      | ~ ssList(app(X0,X1))
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f143]) ).

fof(f143,axiom,
    ! [X2,X0,X1] :
      ( app(X0,X1) != X2
      | ~ ssList(X2)
      | ~ ssList(X0)
      | ~ ssList(X1)
      | rearsegP(X2,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).

fof(f281,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f280,f233,f271]) ).

fof(f233,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f280,plain,
    ( nil = sk3
    | spl0_3 ),
    inference(subsumption_resolution,[],[f279,f188]) ).

fof(f279,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | spl0_3 ),
    inference(subsumption_resolution,[],[f265,f8]) ).

fof(f265,plain,
    ( nil = sk3
    | ~ ssList(nil)
    | ~ ssList(sk3)
    | spl0_3 ),
    inference(resolution,[],[f235,f100]) ).

fof(f100,axiom,
    ! [X0,X1] :
      ( neq(X1,X0)
      | ~ ssList(X0)
      | X0 = X1
      | ~ ssList(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).

fof(f235,plain,
    ( ~ neq(sk3,nil)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f233]) ).

fof(f262,plain,
    ( ~ spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f251,f229]) ).

fof(f229,plain,
    ( spl0_2
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f201,axiom,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).

fof(f261,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f223,f229]) ).

fof(f223,plain,
    neq(sk4,nil),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ( neq(sk4,nil)
    | neq(sk4,nil) ),
    inference(definition_unfolding,[],[f192,f190,f190]) ).

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

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

fof(f259,plain,
    ( spl0_7
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f200,f229,f256]) ).

fof(f200,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f248,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f238,f229]) ).

fof(f199,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f247,plain,
    ( ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f202,f244,f229]) ).

fof(f202,axiom,
    ( sk4 = app(sk6,cons(sk5,nil))
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).

fof(f242,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f208,f233,f229,f225]) ).

fof(f208,plain,
    ( ~ neq(sk3,nil)
    | ~ neq(sk4,nil)
    | ~ rearsegP(sk4,sk3) ),
    inference(definition_unfolding,[],[f203,f190,f191,f191]) ).

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

fof(f203,axiom,
    ( ~ neq(sk4,nil)
    | ~ rearsegP(sk2,sk1)
    | ~ neq(sk1,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWC106-1 : 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 : 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 18:17:40 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 1.36/0.54  % (10601)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)
% 1.36/0.54  % (10602)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.36/0.54  % (10600)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.36/0.55  % (10595)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.36/0.55  % (10606)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)
% 1.36/0.55  % (10618)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.52/0.55  % (10610)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.52/0.55  % (10610)Instruction limit reached!
% 1.52/0.55  % (10610)------------------------------
% 1.52/0.55  % (10610)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (10602)First to succeed.
% 1.52/0.56  % (10599)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)
% 1.52/0.56  % (10611)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)
% 1.52/0.56  % (10610)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (10610)Termination reason: Unknown
% 1.52/0.56  % (10610)Termination phase: Finite model building preprocessing
% 1.52/0.56  
% 1.52/0.56  % (10610)Memory used [KB]: 1535
% 1.52/0.56  % (10610)Time elapsed: 0.004 s
% 1.52/0.56  % (10610)Instructions burned: 7 (million)
% 1.52/0.56  % (10610)------------------------------
% 1.52/0.56  % (10610)------------------------------
% 1.52/0.56  % (10611)Instruction limit reached!
% 1.52/0.56  % (10611)------------------------------
% 1.52/0.56  % (10611)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.56  % (10611)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.56  % (10611)Termination reason: Unknown
% 1.52/0.56  % (10611)Termination phase: Function definition elimination
% 1.52/0.56  
% 1.52/0.56  % (10611)Memory used [KB]: 1407
% 1.52/0.56  % (10611)Time elapsed: 0.002 s
% 1.52/0.56  % (10611)Instructions burned: 2 (million)
% 1.52/0.56  % (10611)------------------------------
% 1.52/0.56  % (10611)------------------------------
% 1.52/0.56  % (10609)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.52/0.56  % (10598)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)
% 1.52/0.56  % (10621)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)
% 1.52/0.56  % (10617)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)
% 1.52/0.56  % (10612)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.52/0.57  % (10603)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)
% 1.52/0.57  % (10602)Refutation found. Thanks to Tanya!
% 1.52/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.57  % (10602)------------------------------
% 1.52/0.57  % (10602)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.57  % (10602)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.57  % (10602)Termination reason: Refutation
% 1.52/0.57  
% 1.52/0.57  % (10602)Memory used [KB]: 6140
% 1.52/0.57  % (10602)Time elapsed: 0.133 s
% 1.52/0.57  % (10602)Instructions burned: 7 (million)
% 1.52/0.57  % (10602)------------------------------
% 1.52/0.57  % (10602)------------------------------
% 1.52/0.57  % (10594)Success in time 0.211 s
%------------------------------------------------------------------------------