TSTP Solution File: SWC293-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWC293-1 : 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 : n028.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 18:42:56 EDT 2022

% Result   : Unsatisfiable 1.19s 0.52s
% Output   : Refutation 1.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   29 (   8 unt;   0 def)
%            Number of atoms       :   59 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   56 (  26   ~;  26   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f307,plain,
    $false,
    inference(avatar_sat_refutation,[],[f243,f260,f270,f302,f306]) ).

fof(f306,plain,
    ~ spl1_1,
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | ~ spl1_1 ),
    inference(subsumption_resolution,[],[f304,f3]) ).

fof(f3,axiom,
    strictorderedP(nil),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f304,plain,
    ( ~ strictorderedP(nil)
    | ~ spl1_1 ),
    inference(superposition,[],[f201,f238]) ).

fof(f238,plain,
    ( nil = sk3
    | ~ spl1_1 ),
    inference(avatar_component_clause,[],[f236]) ).

fof(f236,plain,
    ( spl1_1
  <=> nil = sk3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f201,plain,
    ~ strictorderedP(sk3),
    inference(definition_unfolding,[],[f192,f191]) ).

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

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

fof(f302,plain,
    ( ~ spl1_2
    | ~ spl1_3
    | ~ spl1_8 ),
    inference(avatar_contradiction_clause,[],[f301]) ).

fof(f301,plain,
    ( $false
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f300,f201]) ).

fof(f300,plain,
    ( strictorderedP(sk3)
    | ~ spl1_2
    | ~ spl1_3
    | ~ spl1_8 ),
    inference(forward_demodulation,[],[f299,f247]) ).

fof(f247,plain,
    ( sk3 = sF0
    | ~ spl1_3 ),
    inference(avatar_component_clause,[],[f245]) ).

fof(f245,plain,
    ( spl1_3
  <=> sk3 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f299,plain,
    ( strictorderedP(sF0)
    | ~ spl1_2
    | ~ spl1_8 ),
    inference(subsumption_resolution,[],[f298,f242]) ).

fof(f242,plain,
    ( ssItem(sk5)
    | ~ spl1_2 ),
    inference(avatar_component_clause,[],[f240]) ).

fof(f240,plain,
    ( spl1_2
  <=> ssItem(sk5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f298,plain,
    ( ~ ssItem(sk5)
    | strictorderedP(sF0)
    | ~ spl1_8 ),
    inference(superposition,[],[f268,f226]) ).

fof(f226,plain,
    cons(sk5,nil) = sF0,
    introduced(function_definition,[]) ).

fof(f268,plain,
    ( ! [X1] :
        ( strictorderedP(cons(X1,nil))
        | ~ ssItem(X1) )
    | ~ spl1_8 ),
    inference(avatar_component_clause,[],[f267]) ).

fof(f267,plain,
    ( spl1_8
  <=> ! [X1] :
        ( strictorderedP(cons(X1,nil))
        | ~ ssItem(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_8])]) ).

fof(f270,plain,
    spl1_8,
    inference(avatar_split_clause,[],[f66,f267]) ).

fof(f66,axiom,
    ! [X0] :
      ( ~ ssItem(X0)
      | strictorderedP(cons(X0,nil)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f260,plain,
    ( spl1_3
    | spl1_1 ),
    inference(avatar_split_clause,[],[f227,f236,f245]) ).

fof(f227,plain,
    ( nil = sk3
    | sk3 = sF0 ),
    inference(definition_folding,[],[f197,f226]) ).

fof(f197,axiom,
    ( sk3 = cons(sk5,nil)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).

fof(f243,plain,
    ( spl1_1
    | spl1_2 ),
    inference(avatar_split_clause,[],[f194,f240,f236]) ).

fof(f194,axiom,
    ( ssItem(sk5)
    | nil = sk3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWC293-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n028.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 18:53:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (14309)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.50  % (14309)First to succeed.
% 0.20/0.50  % (14301)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.19/0.52  % (14309)Refutation found. Thanks to Tanya!
% 1.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 1.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 1.19/0.52  % (14309)------------------------------
% 1.19/0.52  % (14309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.52  % (14309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.52  % (14309)Termination reason: Refutation
% 1.19/0.52  
% 1.19/0.52  % (14309)Memory used [KB]: 5756
% 1.19/0.52  % (14309)Time elapsed: 0.091 s
% 1.19/0.52  % (14309)Instructions burned: 10 (million)
% 1.19/0.52  % (14309)------------------------------
% 1.19/0.52  % (14309)------------------------------
% 1.19/0.52  % (14283)Success in time 0.162 s
%------------------------------------------------------------------------------