TSTP Solution File: SWC333-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC333-1 : 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 : n020.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 18:40:30 EDT 2022

% Result   : Unsatisfiable 0.20s 0.49s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   17
% Syntax   : Number of formulae    :   45 (  10 unt;   0 def)
%            Number of atoms       :  118 (   2 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  145 (  72   ~;  66   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   13 (  11 usr;   8 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f459,plain,
    $false,
    inference(avatar_sat_refutation,[],[f257,f259,f268,f280,f285,f305,f316,f458]) ).

fof(f458,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f456,f304]) ).

fof(f304,plain,
    ( segmentP(sk2,sk5)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f302]) ).

fof(f302,plain,
    ( spl0_8
  <=> segmentP(sk2,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f456,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(superposition,[],[f444,f190]) ).

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

fof(f444,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_9 ),
    inference(subsumption_resolution,[],[f443,f315]) ).

fof(f315,plain,
    ( segmentP(sk5,sk1)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl0_9
  <=> segmentP(sk5,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f443,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ segmentP(sk5,sk1)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f442,f252]) ).

fof(f252,plain,
    ( ssList(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f250]) ).

fof(f250,plain,
    ( spl0_2
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f442,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(sk5,sk1)
    | ~ segmentP(sk4,sk5)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(subsumption_resolution,[],[f436,f279]) ).

fof(f279,plain,
    ( totalorderedP(sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f277]) ).

fof(f277,plain,
    ( spl0_4
  <=> totalorderedP(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f436,plain,
    ( ~ segmentP(sk4,sk5)
    | ~ totalorderedP(sk5)
    | ~ ssList(sk5)
    | ~ segmentP(sk5,sk1)
    | ~ spl0_5 ),
    inference(resolution,[],[f325,f284]) ).

fof(f284,plain,
    ( neq(sk1,sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f282,plain,
    ( spl0_5
  <=> neq(sk1,sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f325,plain,
    ! [X0] :
      ( ~ neq(sk1,X0)
      | ~ segmentP(X0,sk1)
      | ~ ssList(X0)
      | ~ segmentP(sk4,X0)
      | ~ totalorderedP(X0) ),
    inference(superposition,[],[f194,f191]) ).

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

fof(f194,axiom,
    ! [X6] :
      ( ~ neq(sk3,X6)
      | ~ segmentP(sk4,X6)
      | ~ segmentP(X6,sk3)
      | ~ totalorderedP(X6)
      | ~ ssList(X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).

fof(f316,plain,
    ( spl0_9
    | ~ spl0_3
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f198,f246,f254,f313]) ).

fof(f254,plain,
    ( spl0_3
  <=> segmentP(sk2,sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f246,plain,
    ( spl0_1
  <=> totalorderedP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f198,axiom,
    ( ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1)
    | segmentP(sk5,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f305,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f197,f302,f246,f254]) ).

fof(f197,axiom,
    ( segmentP(sk2,sk5)
    | ~ totalorderedP(sk1)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f285,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f196,f282,f254,f246]) ).

fof(f196,axiom,
    ( neq(sk1,sk5)
    | ~ segmentP(sk2,sk1)
    | ~ totalorderedP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).

fof(f280,plain,
    ( ~ spl0_3
    | spl0_4
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f199,f246,f277,f254]) ).

fof(f199,axiom,
    ( ~ totalorderedP(sk1)
    | totalorderedP(sk5)
    | ~ segmentP(sk2,sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f268,plain,
    spl0_3,
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | spl0_3 ),
    inference(subsumption_resolution,[],[f262,f256]) ).

fof(f256,plain,
    ( ~ segmentP(sk2,sk1)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f254]) ).

fof(f262,plain,
    segmentP(sk2,sk1),
    inference(superposition,[],[f239,f191]) ).

fof(f239,plain,
    segmentP(sk2,sk3),
    inference(superposition,[],[f192,f190]) ).

fof(f192,axiom,
    segmentP(sk4,sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f259,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f258]) ).

fof(f258,plain,
    ( $false
    | spl0_1 ),
    inference(subsumption_resolution,[],[f248,f235]) ).

fof(f235,plain,
    totalorderedP(sk1),
    inference(superposition,[],[f193,f191]) ).

fof(f193,axiom,
    totalorderedP(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f248,plain,
    ( ~ totalorderedP(sk1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f246]) ).

fof(f257,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f195,f254,f250,f246]) ).

fof(f195,axiom,
    ( ~ segmentP(sk2,sk1)
    | ssList(sk5)
    | ~ totalorderedP(sk1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC333-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % 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 : n020.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 18:49:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (19369)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47  % (19363)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)
% 0.20/0.48  % (19369)First to succeed.
% 0.20/0.48  % (19385)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 0.20/0.49  % (19369)Refutation found. Thanks to Tanya!
% 0.20/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49  % (19369)------------------------------
% 0.20/0.49  % (19369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (19369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (19369)Termination reason: Refutation
% 0.20/0.49  
% 0.20/0.49  % (19369)Memory used [KB]: 6268
% 0.20/0.49  % (19369)Time elapsed: 0.092 s
% 0.20/0.49  % (19369)Instructions burned: 8 (million)
% 0.20/0.49  % (19369)------------------------------
% 0.20/0.49  % (19369)------------------------------
% 0.20/0.49  % (19359)Success in time 0.137 s
%------------------------------------------------------------------------------