TSTP Solution File: SWC028-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC028-1 : 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_sat --cores 0 -t %d %s

% Computer : n028.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 18:41:17 EDT 2022

% Result   : Unsatisfiable 0.16s 0.50s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   40 (   8 unt;   0 def)
%            Number of atoms       :   84 (  19 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   82 (  38   ~;  38   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f376,plain,
    $false,
    inference(avatar_sat_refutation,[],[f272,f273,f274,f275,f284,f365,f367,f375]) ).

fof(f375,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f374,f249,f245,f240]) ).

fof(f240,plain,
    ( spl0_2
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f245,plain,
    ( spl0_3
  <=> neq(sk3,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f249,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f374,plain,
    ( ~ ssList(nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f370,f231]) ).

fof(f231,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f214]) ).

fof(f214,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

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

fof(f370,plain,
    ( neq(nil,nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f247,f251]) ).

fof(f251,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f249]) ).

fof(f247,plain,
    ( neq(sk3,nil)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f367,plain,
    spl0_11,
    inference(avatar_contradiction_clause,[],[f366]) ).

fof(f366,plain,
    ( $false
    | spl0_11 ),
    inference(resolution,[],[f364,f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f186,axiom,
    ssList(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).

fof(f364,plain,
    ( ~ ssList(sk3)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f362,plain,
    ( spl0_11
  <=> ssList(sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f365,plain,
    ( spl0_4
    | ~ spl0_11
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f356,f268,f264,f362,f249]) ).

fof(f264,plain,
    ( spl0_7
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f268,plain,
    ( spl0_8
  <=> rearsegP(sk4,sk3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f356,plain,
    ( ~ ssList(sk3)
    | nil = sk3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(resolution,[],[f82,f285]) ).

fof(f285,plain,
    ( rearsegP(nil,sk3)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f270,f266]) ).

fof(f266,plain,
    ( nil = sk4
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f270,plain,
    ( rearsegP(sk4,sk3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f268]) ).

fof(f82,axiom,
    ! [X0] :
      ( ~ rearsegP(nil,X0)
      | nil = X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f284,plain,
    ( ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f205,f264,f249]) ).

fof(f205,plain,
    ( nil != sk4
    | nil != sk3 ),
    inference(definition_unfolding,[],[f195,f191,f190]) ).

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

fof(f195,axiom,
    ( nil != sk1
    | nil != sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).

fof(f275,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f8,f240]) ).

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

fof(f274,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f200,f249,f264]) ).

fof(f200,plain,
    ( nil = sk3
    | nil = sk4 ),
    inference(definition_unfolding,[],[f192,f191,f190]) ).

fof(f192,axiom,
    ( nil = sk1
    | nil = sk2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).

fof(f273,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f199,f249,f268]) ).

fof(f199,axiom,
    ( nil = sk3
    | rearsegP(sk4,sk3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

fof(f272,plain,
    ( spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f196,f264,f245]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC028-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.31  % Computer : n028.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Tue Aug 30 18:08:48 EDT 2022
% 0.10/0.31  % CPUTime    : 
% 0.16/0.47  % (2081)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.48  % (2081)First to succeed.
% 0.16/0.48  % (2092)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.48  % (2102)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.48  % (2093)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49  % (2085)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.50  % (2081)Refutation found. Thanks to Tanya!
% 0.16/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.50  % (2081)------------------------------
% 0.16/0.50  % (2081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50  % (2081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50  % (2081)Termination reason: Refutation
% 0.16/0.50  
% 0.16/0.50  % (2081)Memory used [KB]: 5884
% 0.16/0.50  % (2081)Time elapsed: 0.102 s
% 0.16/0.50  % (2081)Instructions burned: 12 (million)
% 0.16/0.50  % (2081)------------------------------
% 0.16/0.50  % (2081)------------------------------
% 0.16/0.50  % (2077)Success in time 0.184 s
%------------------------------------------------------------------------------