%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC407-1 : 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 : n010.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 18:41:00 EDT 2022

% Result   : Unsatisfiable 2.03s 0.62s
% Output   : Refutation 2.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   45 (  11 unt;   0 def)
%            Number of atoms       :   99 (  17 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   99 (  45   ~;  48   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f282,plain,
    $false,
    inference(avatar_sat_refutation,[],[f221,f227,f232,f243,f269,f272,f281]) ).

fof(f281,plain,
    ( ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f280]) ).

fof(f280,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f275,f225]) ).

fof(f225,plain,
    ( memberP(sk4,sk6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f223]) ).

fof(f223,plain,
    ( spl0_4
  <=> memberP(sk4,sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f275,plain,
    ( ~ memberP(sk4,sk6)
    | ~ spl0_7 ),
    inference(superposition,[],[f203,f268]) ).

fof(f268,plain,
    ( sk5 = sk6
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_7
  <=> sk5 = sk6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f203,plain,
    ~ memberP(sk4,sk5),
    inference(definition_unfolding,[],[f194,f190]) ).

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

fof(f194,axiom,
    ~ memberP(sk2,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

fof(f272,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f271]) ).

fof(f271,plain,
    ( $false
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f270,f192]) ).

fof(f192,axiom,
    ssItem(sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f270,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(resolution,[],[f264,f71]) ).

fof(f71,axiom,
    ! [X0] :
      ( ~ memberP(nil,X0)
      | ~ ssItem(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).

fof(f264,plain,
    ( memberP(nil,sk5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_6
  <=> memberP(nil,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f269,plain,
    ( spl0_6
    | spl0_7
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f260,f229,f209,f266,f262]) ).

fof(f209,plain,
    ( spl0_1
  <=> ssItem(sk6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f229,plain,
    ( spl0_5
  <=> sk3 = cons(sk6,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f260,plain,
    ( sk5 = sk6
    | memberP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f259,f192]) ).

fof(f259,plain,
    ( ~ ssItem(sk5)
    | memberP(nil,sk5)
    | sk5 = sk6
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f258,f8]) ).

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

fof(f258,plain,
    ( memberP(nil,sk5)
    | ~ ssList(nil)
    | sk5 = sk6
    | ~ ssItem(sk5)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f253,f211]) ).

fof(f211,plain,
    ( ssItem(sk6)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f209]) ).

fof(f253,plain,
    ( ~ ssItem(sk6)
    | sk5 = sk6
    | ~ ssItem(sk5)
    | memberP(nil,sk5)
    | ~ ssList(nil)
    | ~ spl0_5 ),
    inference(resolution,[],[f161,f245]) ).

fof(f245,plain,
    ( memberP(cons(sk6,nil),sk5)
    | ~ spl0_5 ),
    inference(superposition,[],[f202,f231]) ).

fof(f231,plain,
    ( sk3 = cons(sk6,nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f229]) ).

fof(f202,plain,
    memberP(sk3,sk5),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    memberP(sk1,sk5),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f161,axiom,
    ! [X2,X0,X1] :
      ( ~ memberP(cons(X0,X1),X2)
      | ~ ssList(X1)
      | ~ ssItem(X2)
      | ~ ssItem(X0)
      | X0 = X2
      | memberP(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).

fof(f243,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f242]) ).

fof(f242,plain,
    ( $false
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f241,f192]) ).

fof(f241,plain,
    ( ~ ssItem(sk5)
    | ~ spl0_3 ),
    inference(resolution,[],[f71,f236]) ).

fof(f236,plain,
    ( memberP(nil,sk5)
    | ~ spl0_3 ),
    inference(superposition,[],[f202,f220]) ).

fof(f220,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f232,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f199,f229,f218]) ).

fof(f199,axiom,
    ( sk3 = cons(sk6,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f227,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f218,f223]) ).

fof(f200,axiom,
    ( nil = sk3
    | memberP(sk4,sk6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).

fof(f221,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f196,f209,f218]) ).

fof(f196,axiom,
    ( ssItem(sk6)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC407-1 : 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
% 0.13/0.34  % Computer : n010.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 18:46:44 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.55  % (28606)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.21/0.56  % (28606)Instruction limit reached!
% 0.21/0.56  % (28606)------------------------------
% 0.21/0.56  % (28606)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (28612)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)
% 0.21/0.56  % (28612)Instruction limit reached!
% 0.21/0.56  % (28612)------------------------------
% 0.21/0.56  % (28612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (28612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (28612)Termination reason: Unknown
% 0.21/0.56  % (28612)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (28612)Memory used [KB]: 1535
% 0.21/0.56  % (28612)Time elapsed: 0.003 s
% 0.21/0.56  % (28612)Instructions burned: 3 (million)
% 0.21/0.56  % (28612)------------------------------
% 0.21/0.56  % (28612)------------------------------
% 0.21/0.56  % (28614)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.21/0.57  % (28604)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.21/0.57  % (28626)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)
% 0.21/0.57  % (28606)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (28606)Termination reason: Unknown
% 0.21/0.57  % (28606)Termination phase: Equality proxy
% 0.21/0.57  
% 0.21/0.57  % (28606)Memory used [KB]: 1535
% 0.21/0.57  % (28606)Time elapsed: 0.006 s
% 0.21/0.57  % (28606)Instructions burned: 5 (million)
% 0.21/0.57  % (28606)------------------------------
% 0.21/0.57  % (28606)------------------------------
% 0.21/0.58  % (28614)Instruction limit reached!
% 0.21/0.58  % (28614)------------------------------
% 0.21/0.58  % (28614)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (28614)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (28614)Termination reason: Unknown
% 0.21/0.58  % (28614)Termination phase: Property scanning
% 0.21/0.58  
% 0.21/0.58  % (28614)Memory used [KB]: 1535
% 0.21/0.58  % (28614)Time elapsed: 0.008 s
% 0.21/0.58  % (28614)Instructions burned: 6 (million)
% 0.21/0.58  % (28614)------------------------------
% 0.21/0.58  % (28614)------------------------------
% 0.21/0.58  % (28633)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.59  % (28608)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)
% 1.68/0.59  % (28607)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)
% 1.68/0.60  % (28610)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)
% 1.68/0.61  % (28627)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)
% 1.68/0.61  % (28609)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.03/0.62  % (28607)First to succeed.
% 2.03/0.62  % (28605)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)
% 2.03/0.62  % (28607)Refutation found. Thanks to Tanya!
% 2.03/0.62  % SZS status Unsatisfiable for theBenchmark
% 2.03/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 2.03/0.62  % (28607)------------------------------
% 2.03/0.62  % (28607)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.03/0.62  % (28607)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.03/0.62  % (28607)Termination reason: Refutation
% 2.03/0.62  
% 2.03/0.62  % (28607)Memory used [KB]: 6012
% 2.03/0.62  % (28607)Time elapsed: 0.191 s
% 2.03/0.62  % (28607)Instructions burned: 4 (million)
% 2.03/0.62  % (28607)------------------------------
% 2.03/0.62  % (28607)------------------------------
% 2.03/0.62  % (28602)Success in time 0.269 s
%------------------------------------------------------------------------------