TSTP Solution File: SWC358-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC358-1 : 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 : n005.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 18:43:22 EDT 2022

% Result   : Unsatisfiable 0.18s 0.52s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   25 (  11 unt;   0 def)
%            Number of atoms       :   40 (  10 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   29 (  14   ~;  12   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f278,plain,
    $false,
    inference(avatar_sat_refutation,[],[f240,f271,f276,f277]) ).

fof(f277,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f273,f259,f237]) ).

fof(f237,plain,
    ( spl0_2
  <=> segmentP(nil,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f259,plain,
    ( spl0_7
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f273,plain,
    ( ~ segmentP(nil,nil)
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f264,f261]) ).

fof(f261,plain,
    ( nil = sk4
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f259]) ).

fof(f264,plain,
    ~ segmentP(sk4,nil),
    inference(backward_demodulation,[],[f199,f263]) ).

fof(f263,plain,
    nil = sk3,
    inference(subsumption_resolution,[],[f197,f199]) ).

fof(f197,axiom,
    ( segmentP(sk4,sk3)
    | nil = sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f199,plain,
    ~ segmentP(sk4,sk3),
    inference(definition_unfolding,[],[f193,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(f193,axiom,
    ~ segmentP(sk2,sk1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

fof(f276,plain,
    ( spl0_1
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f274,f259,f233]) ).

fof(f233,plain,
    ( spl0_1
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f274,plain,
    ( ssList(nil)
    | ~ spl0_7 ),
    inference(backward_demodulation,[],[f201,f261]) ).

fof(f201,plain,
    ssList(sk4),
    inference(definition_unfolding,[],[f187,f190]) ).

fof(f187,axiom,
    ssList(sk2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).

fof(f271,plain,
    spl0_7,
    inference(avatar_split_clause,[],[f270,f259]) ).

fof(f270,plain,
    nil = sk4,
    inference(subsumption_resolution,[],[f269,f264]) ).

fof(f269,plain,
    ( segmentP(sk4,nil)
    | nil = sk4 ),
    inference(forward_demodulation,[],[f195,f263]) ).

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

fof(f240,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f212,f237,f233]) ).

fof(f212,plain,
    ( segmentP(nil,nil)
    | ~ ssList(nil) ),
    inference(equality_resolution,[],[f79]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC358-1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n005.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
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 18:50:48 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (20918)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.49  % (20936)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.50  % (20918)First to succeed.
% 0.18/0.50  % (20928)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)
% 0.18/0.51  % (20916)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.52  % (20918)Refutation found. Thanks to Tanya!
% 0.18/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.52  % (20918)------------------------------
% 0.18/0.52  % (20918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (20918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (20918)Termination reason: Refutation
% 0.18/0.52  
% 0.18/0.52  % (20918)Memory used [KB]: 5756
% 0.18/0.52  % (20918)Time elapsed: 0.011 s
% 0.18/0.52  % (20918)Instructions burned: 10 (million)
% 0.18/0.52  % (20918)------------------------------
% 0.18/0.52  % (20918)------------------------------
% 0.18/0.52  % (20913)Success in time 0.18 s
%------------------------------------------------------------------------------