TSTP Solution File: SWC054-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC054-1 : 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 : n012.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 18:38:27 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   56 (   4 unt;   0 def)
%            Number of atoms       :  154 (  20 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  194 (  96   ~;  94   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    9 (   7 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f302,plain,
    $false,
    inference(avatar_sat_refutation,[],[f242,f259,f269,f280,f299]) ).

fof(f299,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f298]) ).

fof(f298,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f297,f284]) ).

fof(f284,plain,
    ( segmentP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f271,f267]) ).

fof(f267,plain,
    ( nil = sk2
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f266,plain,
    ( spl0_4
  <=> nil = sk2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f271,plain,
    ( segmentP(sk2,sk5)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f246,f236]) ).

fof(f236,plain,
    ( neq(sk2,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_1
  <=> neq(sk2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f246,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk2,sk5) ),
    inference(forward_demodulation,[],[f245,f190]) ).

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

fof(f245,plain,
    ( segmentP(sk2,sk5)
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f195,f190]) ).

fof(f195,axiom,
    ( segmentP(sk4,sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).

fof(f297,plain,
    ( ~ segmentP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f294,f241]) ).

fof(f241,plain,
    ( ssList(sk5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f239]) ).

fof(f239,plain,
    ( spl0_2
  <=> ssList(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f294,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(nil,sk5)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(resolution,[],[f292,f270]) ).

fof(f270,plain,
    ( neq(sk5,nil)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f244,f236]) ).

fof(f244,plain,
    ( ~ neq(sk2,nil)
    | neq(sk5,nil) ),
    inference(forward_demodulation,[],[f194,f190]) ).

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

fof(f292,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(nil,X6) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(duplicate_literal_removal,[],[f291]) ).

fof(f291,plain,
    ( ! [X6] :
        ( ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(nil,X6)
        | ~ segmentP(nil,X6) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f290,f281]) ).

fof(f281,plain,
    ( nil = sk1
    | ~ spl0_3 ),
    inference(superposition,[],[f264,f191]) ).

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

fof(f264,plain,
    ( nil = sk3
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f262]) ).

fof(f262,plain,
    ( spl0_3
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f290,plain,
    ( ! [X6] :
        ( ~ segmentP(nil,X6)
        | ~ ssList(X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk1,X6) )
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f289,f267]) ).

fof(f289,plain,
    ( ! [X6] :
        ( ~ ssList(X6)
        | ~ segmentP(sk2,X6)
        | ~ neq(X6,nil)
        | ~ segmentP(sk1,X6) )
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f200,f281]) ).

fof(f200,axiom,
    ! [X6] :
      ( ~ segmentP(sk2,X6)
      | nil != sk1
      | ~ neq(X6,nil)
      | ~ ssList(X6)
      | ~ segmentP(sk1,X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).

fof(f280,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f279]) ).

fof(f279,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f278,f271]) ).

fof(f278,plain,
    ( ~ segmentP(sk2,sk5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f277,f272]) ).

fof(f272,plain,
    ( segmentP(sk1,sk5)
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f260,f236]) ).

fof(f260,plain,
    ( ~ neq(sk2,nil)
    | segmentP(sk1,sk5) ),
    inference(forward_demodulation,[],[f247,f191]) ).

fof(f247,plain,
    ( segmentP(sk3,sk5)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f196,f190]) ).

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

fof(f277,plain,
    ( ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ spl0_1
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f275,f241]) ).

fof(f275,plain,
    ( ~ ssList(sk5)
    | ~ segmentP(sk1,sk5)
    | ~ segmentP(sk2,sk5)
    | ~ spl0_1
    | spl0_4 ),
    inference(resolution,[],[f273,f270]) ).

fof(f273,plain,
    ( ! [X6] :
        ( ~ neq(X6,nil)
        | ~ ssList(X6)
        | ~ segmentP(sk2,X6)
        | ~ segmentP(sk1,X6) )
    | spl0_4 ),
    inference(subsumption_resolution,[],[f198,f268]) ).

fof(f268,plain,
    ( nil != sk2
    | spl0_4 ),
    inference(avatar_component_clause,[],[f266]) ).

fof(f198,axiom,
    ! [X6] :
      ( ~ segmentP(sk1,X6)
      | nil = sk2
      | ~ segmentP(sk2,X6)
      | ~ ssList(X6)
      | ~ neq(X6,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).

fof(f269,plain,
    ( spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f243,f266,f262]) ).

fof(f243,plain,
    ( nil != sk2
    | nil = sk3 ),
    inference(forward_demodulation,[],[f192,f190]) ).

fof(f192,axiom,
    ( nil = sk3
    | nil != sk4 ),
    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,[],[f254,f251]) ).

fof(f251,plain,
    ( nil != sk1
    | spl0_1 ),
    inference(subsumption_resolution,[],[f199,f237]) ).

fof(f237,plain,
    ( ~ neq(sk2,nil)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f199,axiom,
    ( nil != sk1
    | neq(sk2,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).

fof(f254,plain,
    ( nil = sk1
    | spl0_1 ),
    inference(superposition,[],[f191,f252]) ).

fof(f252,plain,
    ( nil = sk3
    | spl0_1 ),
    inference(subsumption_resolution,[],[f243,f248]) ).

fof(f248,plain,
    ( nil = sk2
    | spl0_1 ),
    inference(subsumption_resolution,[],[f197,f237]) ).

fof(f197,axiom,
    ( neq(sk2,nil)
    | nil = sk2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).

fof(f242,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f233,f239,f235]) ).

fof(f233,plain,
    ( ssList(sk5)
    | ~ neq(sk2,nil) ),
    inference(forward_demodulation,[],[f193,f190]) ).

fof(f193,axiom,
    ( ~ neq(sk4,nil)
    | ssList(sk5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWC054-1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % 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 : n012.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 18:01:50 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.49  % (14633)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)
% 0.18/0.49  % (14641)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.18/0.50  % (14634)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)
% 0.18/0.50  % (14635)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (14641)First to succeed.
% 0.18/0.50  % (14649)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)
% 0.18/0.51  % (14641)Refutation found. Thanks to Tanya!
% 0.18/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51  % (14641)------------------------------
% 0.18/0.51  % (14641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (14641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (14641)Termination reason: Refutation
% 0.18/0.51  
% 0.18/0.51  % (14641)Memory used [KB]: 6012
% 0.18/0.51  % (14641)Time elapsed: 0.111 s
% 0.18/0.51  % (14641)Instructions burned: 8 (million)
% 0.18/0.51  % (14641)------------------------------
% 0.18/0.51  % (14641)------------------------------
% 0.18/0.51  % (14626)Success in time 0.168 s
%------------------------------------------------------------------------------