TSTP Solution File: SWC369-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC369-1 : 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 : n018.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 18:43:25 EDT 2022

% Result   : Unsatisfiable 1.25s 0.53s
% Output   : Refutation 1.25s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (  10 unt;   0 def)
%            Number of atoms       :   72 (  13 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   71 (  34   ~;  32   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   6 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f446,plain,
    $false,
    inference(avatar_sat_refutation,[],[f246,f260,f266,f274,f438,f445]) ).

fof(f445,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f444]) ).

fof(f444,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f439,f259]) ).

fof(f259,plain,
    ( segmentP(nil,nil)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f257,plain,
    ( spl0_7
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f439,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f436,f240]) ).

fof(f240,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f436,plain,
    ( ~ segmentP(sk4,nil)
    | ~ spl0_4 ),
    inference(backward_demodulation,[],[f198,f245]) ).

fof(f245,plain,
    ( nil = sk3
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f243]) ).

fof(f243,plain,
    ( spl0_4
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f198,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f192,f190,f191]) ).

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

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

fof(f192,axiom,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).

fof(f438,plain,
    ( spl0_3
    | ~ spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f431,f252,f230,f239]) ).

fof(f230,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f252,plain,
    ( spl0_6
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f431,plain,
    ( nil = sk4
    | ~ spl0_1
    | spl0_6 ),
    inference(subsumption_resolution,[],[f430,f231]) ).

fof(f231,plain,
    ( ssList(nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f230]) ).

fof(f430,plain,
    ( ~ ssList(nil)
    | nil = sk4
    | spl0_6 ),
    inference(subsumption_resolution,[],[f425,f189]) ).

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

fof(f425,plain,
    ( ~ ssList(sk4)
    | nil = sk4
    | ~ ssList(nil)
    | spl0_6 ),
    inference(resolution,[],[f100,f254]) ).

fof(f254,plain,
    ( ~ neq(sk4,nil)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f252]) ).

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

fof(f274,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f8,f230]) ).

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

fof(f266,plain,
    ~ spl0_6,
    inference(avatar_split_clause,[],[f265,f252]) ).

fof(f265,plain,
    ~ neq(sk4,nil),
    inference(subsumption_resolution,[],[f195,f198]) ).

fof(f195,axiom,
    ( ~ neq(sk4,nil)
    | segmentP(sk4,sk3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f260,plain,
    ( spl0_7
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f219,f230,f257]) ).

fof(f219,plain,
    ( ~ ssList(nil)
    | segmentP(nil,nil) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,axiom,
    ! [X0] :
      ( segmentP(nil,X0)
      | nil != X0
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause79) ).

fof(f246,plain,
    ( ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f193,f243,f239]) ).

fof(f193,axiom,
    ( nil = sk3
    | nil != sk4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC369-1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.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 18:54:10 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.48  % (12971)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)
% 0.19/0.48  % (12964)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (12964)Instruction limit reached!
% 0.19/0.48  % (12964)------------------------------
% 0.19/0.48  % (12964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (12964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (12964)Termination reason: Unknown
% 0.19/0.48  % (12964)Termination phase: Unused predicate definition removal
% 0.19/0.48  
% 0.19/0.48  % (12964)Memory used [KB]: 1023
% 0.19/0.48  % (12964)Time elapsed: 0.002 s
% 0.19/0.48  % (12964)Instructions burned: 2 (million)
% 0.19/0.48  % (12964)------------------------------
% 0.19/0.48  % (12964)------------------------------
% 0.19/0.49  % (12979)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.49  % (12972)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (12980)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.51  % (12961)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.25/0.52  % (12980)First to succeed.
% 1.25/0.53  % (12982)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)
% 1.25/0.53  % (12984)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.25/0.53  % (12980)Refutation found. Thanks to Tanya!
% 1.25/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.25/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.25/0.53  % (12980)------------------------------
% 1.25/0.53  % (12980)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.25/0.53  % (12980)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.25/0.53  % (12980)Termination reason: Refutation
% 1.25/0.53  
% 1.25/0.53  % (12980)Memory used [KB]: 5884
% 1.25/0.53  % (12980)Time elapsed: 0.122 s
% 1.25/0.53  % (12980)Instructions burned: 17 (million)
% 1.25/0.53  % (12980)------------------------------
% 1.25/0.53  % (12980)------------------------------
% 1.25/0.53  % (12955)Success in time 0.178 s
%------------------------------------------------------------------------------