TSTP Solution File: SWC256-1 by SnakeForV---1.0

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC256-1 : 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 : n019.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 18:39:55 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   38 (  12 unt;   0 def)
%            Number of atoms       :   74 (  11 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   69 (  33   ~;  30   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   12 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f449,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f277,f283,f323,f438,f440,f443]) ).

fof(f443,plain,
    ~ spl0_26,
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_26 ),
    inference(resolution,[],[f437,f200]) ).

fof(f200,plain,
    ~ singletonP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ singletonP(sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f437,plain,
    ( singletonP(sk3)
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f435]) ).

fof(f435,plain,
    ( spl0_26
  <=> singletonP(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f440,plain,
    spl0_25,
    inference(avatar_contradiction_clause,[],[f439]) ).

fof(f439,plain,
    ( $false
    | spl0_25 ),
    inference(resolution,[],[f433,f188]) ).

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

fof(f433,plain,
    ( ~ ssList(sk3)
    | spl0_25 ),
    inference(avatar_component_clause,[],[f431]) ).

fof(f431,plain,
    ( spl0_25
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f438,plain,
    ( ~ spl0_3
    | ~ spl0_25
    | spl0_26
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f428,f268,f435,f431,f244]) ).

fof(f244,plain,
    ( spl0_3
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f268,plain,
    ( spl0_8
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f428,plain,
    ( singletonP(sk3)
    | ~ ssList(sk3)
    | ~ ssItem(sk5)
    | ~ spl0_8 ),
    inference(superposition,[],[f223,f270]) ).

fof(f270,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f223,plain,
    ! [X0] :
      ( singletonP(cons(X0,nil))
      | ~ ssItem(X0)
      | ~ ssList(cons(X0,nil)) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssList(X1)
      | ~ ssItem(X0)
      | cons(X0,nil) != X1
      | singletonP(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).

fof(f323,plain,
    ( ~ spl0_5
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f322,f248,f253]) ).

fof(f253,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f248,plain,
    ( spl0_4
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f322,plain,
    ( ~ ssList(nil)
    | ~ spl0_4 ),
    inference(resolution,[],[f318,f229]) ).

fof(f229,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f205]) ).

fof(f205,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | ~ ssList(X0)
      | X0 != X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).

fof(f318,plain,
    ( neq(nil,nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f201,f250]) ).

fof(f250,plain,
    ( nil = sk4
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f201,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(f283,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f253]) ).

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

fof(f277,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f196,f248,f268]) ).

fof(f196,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f251,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f248,f244]) ).

fof(f194,axiom,
    ( nil = sk4
    | ssItem(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SWC256-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n019.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
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:42:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (29920)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)
% 0.19/0.50  % (29906)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)
% 0.19/0.50  % (29898)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.50  % (29912)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50  % (29906)Instruction limit reached!
% 0.19/0.50  % (29906)------------------------------
% 0.19/0.50  % (29906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (29906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (29906)Termination reason: Unknown
% 0.19/0.50  % (29906)Termination phase: Property scanning
% 0.19/0.50  
% 0.19/0.50  % (29906)Memory used [KB]: 1407
% 0.19/0.50  % (29906)Time elapsed: 0.003 s
% 0.19/0.50  % (29906)Instructions burned: 3 (million)
% 0.19/0.50  % (29906)------------------------------
% 0.19/0.50  % (29906)------------------------------
% 0.19/0.50  % (29898)First to succeed.
% 0.19/0.50  % (29897)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)
% 0.19/0.51  % (29894)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)
% 0.19/0.51  % (29905)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)
% 0.19/0.51  % (29915)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)
% 0.19/0.51  % (29893)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.51  % (29916)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)
% 0.19/0.51  % (29912)Instruction limit reached!
% 0.19/0.51  % (29912)------------------------------
% 0.19/0.51  % (29912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (29912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (29912)Termination reason: Unknown
% 0.19/0.51  % (29912)Termination phase: Saturation
% 0.19/0.51  
% 0.19/0.51  % (29912)Memory used [KB]: 1535
% 0.19/0.51  % (29912)Time elapsed: 0.010 s
% 0.19/0.51  % (29912)Instructions burned: 8 (million)
% 0.19/0.51  % (29912)------------------------------
% 0.19/0.51  % (29912)------------------------------
% 0.19/0.52  % (29905)Instruction limit reached!
% 0.19/0.52  % (29905)------------------------------
% 0.19/0.52  % (29905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29905)Termination reason: Unknown
% 0.19/0.52  % (29905)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (29905)Memory used [KB]: 6012
% 0.19/0.52  % (29905)Time elapsed: 0.005 s
% 0.19/0.52  % (29905)Instructions burned: 6 (million)
% 0.19/0.52  % (29905)------------------------------
% 0.19/0.52  % (29905)------------------------------
% 0.19/0.52  % (29907)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)
% 0.19/0.52  % (29920)Also succeeded, but the first one will report.
% 0.19/0.52  % (29898)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (29898)------------------------------
% 0.19/0.52  % (29898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (29898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (29898)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (29898)Memory used [KB]: 6140
% 0.19/0.52  % (29898)Time elapsed: 0.104 s
% 0.19/0.52  % (29898)Instructions burned: 10 (million)
% 0.19/0.52  % (29898)------------------------------
% 0.19/0.52  % (29898)------------------------------
% 0.19/0.52  % (29892)Success in time 0.172 s
%------------------------------------------------------------------------------