TSTP Solution File: SWC256-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC256-1 : 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 : n029.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 18:42:43 EDT 2022

% Result   : Unsatisfiable 1.27s 0.54s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   36 (  11 unt;   0 def)
%            Number of atoms       :   74 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   75 (  37   ~;  34   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   8 usr;   5 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f329,plain,
    $false,
    inference(avatar_sat_refutation,[],[f251,f276,f277,f284,f328]) ).

fof(f328,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_contradiction_clause,[],[f327]) ).

fof(f327,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f326,f200]) ).

fof(f200,plain,
    ~ singletonP(sk3),
    inference(definition_unfolding,[],[f193,f191]) ).

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

fof(f193,axiom,
    ~ singletonP(sk1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).

fof(f326,plain,
    ( singletonP(sk3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f325,f203]) ).

fof(f203,plain,
    ssList(sk3),
    inference(definition_unfolding,[],[f186,f191]) ).

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

fof(f325,plain,
    ( ~ ssList(sk3)
    | singletonP(sk3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(subsumption_resolution,[],[f324,f250]) ).

fof(f250,plain,
    ( ssItem(sk5)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f248]) ).

fof(f248,plain,
    ( spl0_4
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f324,plain,
    ( ~ ssItem(sk5)
    | ~ ssList(sk3)
    | singletonP(sk3)
    | ~ spl0_1 ),
    inference(superposition,[],[f211,f237]) ).

fof(f237,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f235]) ).

fof(f235,plain,
    ( spl0_1
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f211,plain,
    ! [X0] :
      ( ~ ssList(cons(X0,nil))
      | singletonP(cons(X0,nil))
      | ~ ssItem(X0) ),
    inference(equality_resolution,[],[f116]) ).

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

fof(f284,plain,
    ( ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_contradiction_clause,[],[f283]) ).

fof(f283,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(unit_resulting_resolution,[],[f254,f278,f229]) ).

fof(f229,plain,
    ! [X1] :
      ( ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(duplicate_literal_removal,[],[f210]) ).

fof(f210,plain,
    ! [X1] :
      ( ~ ssList(X1)
      | ~ neq(X1,X1)
      | ~ ssList(X1) ),
    inference(equality_resolution,[],[f115]) ).

fof(f115,axiom,
    ! [X0,X1] :
      ( ~ neq(X0,X1)
      | ~ ssList(X1)
      | X0 != X1
      | ~ ssList(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

fof(f278,plain,
    ( neq(nil,nil)
    | ~ spl0_3 ),
    inference(backward_demodulation,[],[f202,f246]) ).

fof(f246,plain,
    ( nil = sk4
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f244]) ).

fof(f244,plain,
    ( spl0_3
  <=> nil = sk4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f202,plain,
    neq(sk4,nil),
    inference(definition_unfolding,[],[f192,f190]) ).

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

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

fof(f254,plain,
    ( ssList(nil)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f253]) ).

fof(f253,plain,
    ( spl0_5
  <=> ssList(nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f277,plain,
    spl0_5,
    inference(avatar_split_clause,[],[f8,f253]) ).

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

fof(f276,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f196,f244,f235]) ).

fof(f196,axiom,
    ( nil = sk4
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).

fof(f251,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f194,f248,f244]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWC256-1 : 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
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 18:49:42 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.48  % (17320)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (17342)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (17334)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.27/0.52  % (17328)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.27/0.53  % (17318)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.27/0.53  % (17322)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)
% 1.27/0.53  % (17321)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.27/0.53  % (17332)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)
% 1.27/0.53  % (17317)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.27/0.53  % (17318)First to succeed.
% 1.27/0.53  % (17319)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)
% 1.27/0.54  % (17330)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.54  % (17318)Refutation found. Thanks to Tanya!
% 1.27/0.54  % SZS status Unsatisfiable for theBenchmark
% 1.27/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.54  % (17318)------------------------------
% 1.27/0.54  % (17318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.54  % (17318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.54  % (17318)Termination reason: Refutation
% 1.27/0.54  
% 1.27/0.54  % (17318)Memory used [KB]: 5884
% 1.27/0.54  % (17318)Time elapsed: 0.114 s
% 1.27/0.54  % (17318)Instructions burned: 11 (million)
% 1.27/0.54  % (17318)------------------------------
% 1.27/0.54  % (17318)------------------------------
% 1.27/0.54  % (17316)Success in time 0.186 s
%------------------------------------------------------------------------------