TSTP Solution File: SWC179-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC179-1 : 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 : n003.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 18:42:14 EDT 2022

% Result   : Unsatisfiable 1.58s 0.59s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   34 (   8 unt;   0 def)
%            Number of atoms       :   67 (   7 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   63 (  30   ~;  27   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   7 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f355,plain,
    $false,
    inference(avatar_sat_refutation,[],[f289,f304,f334,f346,f349,f354]) ).

fof(f354,plain,
    ~ spl1_8,
    inference(avatar_contradiction_clause,[],[f353]) ).

fof(f353,plain,
    ( $false
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f351,f2]) ).

fof(f2,axiom,
    duplicatefreeP(nil),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).

fof(f351,plain,
    ( ~ duplicatefreeP(nil)
    | ~ spl1_8 ),
    inference(backward_demodulation,[],[f208,f277]) ).

fof(f277,plain,
    ( nil = sk3
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f275]) ).

fof(f275,plain,
    ( spl1_8
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f208,plain,
    ~ duplicatefreeP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

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

fof(f349,plain,
    ~ spl1_19,
    inference(avatar_contradiction_clause,[],[f348]) ).

fof(f348,plain,
    ( $false
    | ~ spl1_19 ),
    inference(subsumption_resolution,[],[f347,f188]) ).

fof(f188,axiom,
    ssList(sk3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_3) ).

fof(f347,plain,
    ( ~ ssList(sk3)
    | ~ spl1_19 ),
    inference(resolution,[],[f333,f208]) ).

fof(f333,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
    | ~ spl1_19 ),
    inference(avatar_component_clause,[],[f332]) ).

fof(f332,plain,
    ( spl1_19
  <=> ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_19])]) ).

fof(f346,plain,
    ( ~ spl1_3
    | ~ spl1_12 ),
    inference(avatar_contradiction_clause,[],[f345]) ).

fof(f345,plain,
    ( $false
    | ~ spl1_3
    | ~ spl1_12 ),
    inference(subsumption_resolution,[],[f344,f208]) ).

fof(f344,plain,
    ( duplicatefreeP(sk3)
    | ~ spl1_3
    | ~ spl1_12 ),
    inference(superposition,[],[f343,f254]) ).

fof(f254,plain,
    ( sk3 = cons(sk5,nil)
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f252]) ).

fof(f252,plain,
    ( spl1_3
  <=> sk3 = cons(sk5,nil) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f343,plain,
    ( ! [X0] : duplicatefreeP(cons(X0,nil))
    | ~ spl1_12 ),
    inference(subsumption_resolution,[],[f65,f299]) ).

fof(f299,plain,
    ( ! [X1] : ssItem(X1)
    | ~ spl1_12 ),
    inference(avatar_component_clause,[],[f298]) ).

fof(f298,plain,
    ( spl1_12
  <=> ! [X1] : ssItem(X1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_12])]) ).

fof(f65,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | duplicatefreeP(cons(X0,nil)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).

fof(f334,plain,
    ( spl1_19
    | spl1_13 ),
    inference(avatar_split_clause,[],[f234,f301,f332]) ).

fof(f301,plain,
    ( spl1_13
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_13])]) ).

fof(f234,plain,
    ! [X0] :
      ( sP0
      | duplicatefreeP(X0)
      | ~ ssList(X0) ),
    inference(cnf_transformation,[],[f234_D]) ).

fof(f234_D,plain,
    ( ! [X0] :
        ( duplicatefreeP(X0)
        | ~ ssList(X0) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f304,plain,
    ( spl1_12
    | ~ spl1_13 ),
    inference(avatar_split_clause,[],[f235,f301,f298]) ).

fof(f235,plain,
    ! [X1] :
      ( ~ sP0
      | ssItem(X1) ),
    inference(general_splitting,[],[f72,f234_D]) ).

fof(f72,axiom,
    ! [X0,X1] :
      ( ssItem(X1)
      | ~ ssList(X0)
      | duplicatefreeP(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).

fof(f289,plain,
    ( spl1_3
    | spl1_8 ),
    inference(avatar_split_clause,[],[f203,f275,f252]) ).

fof(f203,axiom,
    ( nil = sk3
    | sk3 = cons(sk5,nil) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWC179-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 18:31:53 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 1.32/0.56  % (9050)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.57  % (9066)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.58/0.57  % (9058)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)
% 1.58/0.57  % (9050)Instruction limit reached!
% 1.58/0.57  % (9050)------------------------------
% 1.58/0.57  % (9050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.57  % (9050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.57  % (9050)Termination reason: Unknown
% 1.58/0.57  % (9050)Termination phase: Function definition elimination
% 1.58/0.57  
% 1.58/0.57  % (9050)Memory used [KB]: 1023
% 1.58/0.57  % (9050)Time elapsed: 0.004 s
% 1.58/0.57  % (9050)Instructions burned: 2 (million)
% 1.58/0.57  % (9050)------------------------------
% 1.58/0.57  % (9050)------------------------------
% 1.58/0.59  % (9058)First to succeed.
% 1.58/0.59  % (9048)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.58/0.59  % (9058)Refutation found. Thanks to Tanya!
% 1.58/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.58/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.58/0.59  % (9058)------------------------------
% 1.58/0.59  % (9058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.58/0.59  % (9058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.58/0.59  % (9058)Termination reason: Refutation
% 1.58/0.59  
% 1.58/0.59  % (9058)Memory used [KB]: 5756
% 1.58/0.59  % (9058)Time elapsed: 0.154 s
% 1.58/0.59  % (9058)Instructions burned: 9 (million)
% 1.58/0.59  % (9058)------------------------------
% 1.58/0.59  % (9058)------------------------------
% 1.58/0.59  % (9040)Success in time 0.233 s
%------------------------------------------------------------------------------