TSTP Solution File: SWC254-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWC254-1 : 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 : n025.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 18:39:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.55s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   36 (   6 unt;   0 def)
%            Number of atoms       :   77 (   8 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   77 (  36   ~;  36   |;   0   &)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   6 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f568,plain,
    $false,
    inference(avatar_sat_refutation,[],[f235,f255,f258,f259,f267,f567]) ).

fof(f567,plain,
    ( spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f566]) ).

fof(f566,plain,
    ( $false
    | spl0_1
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f565,f234]) ).

fof(f234,plain,
    ( ssItem(sk5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f232]) ).

fof(f232,plain,
    ( spl0_5
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f565,plain,
    ( ~ ssItem(sk5)
    | spl0_1
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f564,f216]) ).

fof(f216,plain,
    ( ~ singletonP(sk1)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl0_1
  <=> singletonP(sk1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f564,plain,
    ( singletonP(sk1)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(subsumption_resolution,[],[f550,f186]) ).

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

fof(f550,plain,
    ( ~ ssList(sk1)
    | singletonP(sk1)
    | ~ ssItem(sk5)
    | ~ spl0_6 ),
    inference(superposition,[],[f208,f240]) ).

fof(f240,plain,
    ( sk1 = cons(sk5,nil)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f238]) ).

fof(f238,plain,
    ( spl0_6
  <=> sk1 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | singletonP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f116,axiom,
    ! [X0,X1] :
      ( ~ ssItem(X0)
      | cons(X0,nil) != X1
      | ~ ssList(X1)
      | singletonP(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).

fof(f267,plain,
    ( ~ spl0_2
    | spl0_4 ),
    inference(avatar_contradiction_clause,[],[f266]) ).

fof(f266,plain,
    ( $false
    | ~ spl0_2
    | spl0_4 ),
    inference(subsumption_resolution,[],[f265,f220]) ).

fof(f220,plain,
    ( neq(sk2,nil)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f218]) ).

fof(f218,plain,
    ( spl0_2
  <=> neq(sk2,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f265,plain,
    ( ~ neq(sk2,nil)
    | spl0_4 ),
    inference(forward_demodulation,[],[f229,f190]) ).

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

fof(f229,plain,
    ( ~ neq(sk4,nil)
    | spl0_4 ),
    inference(avatar_component_clause,[],[f227]) ).

fof(f227,plain,
    ( spl0_4
  <=> neq(sk4,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f259,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f212,f218]) ).

fof(f212,plain,
    neq(sk2,nil),
    inference(duplicate_literal_removal,[],[f192]) ).

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

fof(f258,plain,
    ( spl0_6
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f257,f218,f238]) ).

fof(f257,plain,
    ( ~ neq(sk2,nil)
    | sk1 = cons(sk5,nil) ),
    inference(forward_demodulation,[],[f256,f190]) ).

fof(f256,plain,
    ( sk1 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    inference(forward_demodulation,[],[f201,f191]) ).

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

fof(f201,axiom,
    ( sk3 = cons(sk5,nil)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).

fof(f255,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f254,f218,f214]) ).

fof(f254,plain,
    ( ~ neq(sk2,nil)
    | ~ singletonP(sk1) ),
    inference(forward_demodulation,[],[f203,f190]) ).

fof(f203,axiom,
    ( ~ singletonP(sk1)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_18) ).

fof(f235,plain,
    ( ~ spl0_4
    | spl0_5 ),
    inference(avatar_split_clause,[],[f199,f232,f227]) ).

fof(f199,axiom,
    ( ssItem(sk5)
    | ~ neq(sk4,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWC254-1 : TPTP v8.1.0. Released v2.4.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.33  % Computer : n025.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Tue Aug 30 18:48:00 EDT 2022
% 0.14/0.33  % CPUTime    : 
% 0.19/0.48  % (30921)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)
% 0.19/0.52  % (30921)First to succeed.
% 0.19/0.53  % (30945)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.53  % (30937)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.54  % (30919)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.55  % (30921)Refutation found. Thanks to Tanya!
% 0.19/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.55  % (30921)------------------------------
% 0.19/0.55  % (30921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.55  % (30921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.55  % (30921)Termination reason: Refutation
% 0.19/0.55  
% 0.19/0.55  % (30921)Memory used [KB]: 6268
% 0.19/0.55  % (30921)Time elapsed: 0.142 s
% 0.19/0.55  % (30921)Instructions burned: 16 (million)
% 0.19/0.55  % (30921)------------------------------
% 0.19/0.55  % (30921)------------------------------
% 0.19/0.55  % (30916)Success in time 0.204 s
%------------------------------------------------------------------------------