TSTP Solution File: SYN393+1.003 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% 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 : n015.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 19:37:46 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   44 (   1 unt;   0 def)
%            Number of atoms       :  207 (   0 equ)
%            Maximal formula atoms :   22 (   4 avg)
%            Number of connectives :  250 (  87   ~; 124   |;  14   &)
%                                         (  23 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    9 (   8 usr;   9 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f56,plain,
    $false,
    inference(avatar_sat_refutation,[],[f40,f41,f42,f43,f44,f45,f46,f47,f48,f49,f50,f51,f52,f53,f54,f55]) ).

fof(f55,plain,
    ( spl1_1
    | ~ spl1_3
    | spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f14,f37,f29,f33,f25]) ).

fof(f25,plain,
    ( spl1_1
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_1])]) ).

fof(f33,plain,
    ( spl1_3
  <=> p3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_3])]) ).

fof(f29,plain,
    ( spl1_2
  <=> p2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_2])]) ).

fof(f37,plain,
    ( spl1_4
  <=> p1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl1_4])]) ).

fof(f14,plain,
    ( p1
    | p2
    | ~ p3
    | sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( sP0
      | ( ( ( ( ~ p1
              | ~ p2 )
            & ( p1
              | p2 ) )
          | ~ p3 )
        & ( ( ( p2
              | ~ p1 )
            & ( p1
              | ~ p2 ) )
          | p3 ) ) )
    & ( ( ( p3
          | ( ( ~ p1
              | ~ p2 )
            & ( p1
              | p2 ) ) )
        & ( ( ( p2
              | ~ p1 )
            & ( p1
              | ~ p2 ) )
          | ~ p3 ) )
      | ~ sP0 ) ),
    inference(nnf_transformation,[],[f4]) ).

fof(f4,plain,
    ( sP0
  <=> ( p3
    <=> ( p2
      <=> p1 ) ) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f54,plain,
    ( ~ spl1_3
    | ~ spl1_2
    | spl1_4
    | ~ spl1_1 ),
    inference(avatar_split_clause,[],[f8,f25,f37,f29,f33]) ).

fof(f8,plain,
    ( ~ sP0
    | p1
    | ~ p2
    | ~ p3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ( spl1_2
    | ~ spl1_1
    | ~ spl1_4
    | ~ spl1_3 ),
    inference(avatar_split_clause,[],[f9,f33,f37,f25,f29]) ).

fof(f9,plain,
    ( ~ p3
    | ~ p1
    | ~ sP0
    | p2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( spl1_3
    | spl1_1
    | spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f16,f37,f29,f25,f33]) ).

fof(f16,plain,
    ( p1
    | p2
    | sP0
    | p3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( ( ( ~ p1
          | ( ( ~ p2
              | ~ p3 )
            & ( p2
              | p3 ) ) )
        & ( p1
          | ( ( p3
              | ~ p2 )
            & ( p2
              | ~ p3 ) ) ) )
      | ~ sP0 )
    & ( ( ( ( ( p3
              | ~ p2 )
            & ( p2
              | ~ p3 ) )
          | ~ p1 )
        & ( p1
          | ( ( ~ p2
              | ~ p3 )
            & ( p2
              | p3 ) ) ) )
      | sP0 ) ),
    inference(nnf_transformation,[],[f5]) ).

fof(f5,plain,
    ( sP0
  <~> ( ( p3
      <=> p2 )
    <=> p1 ) ),
    inference(definition_folding,[],[f3,f4]) ).

fof(f3,plain,
    ( ( p3
    <=> ( p2
      <=> p1 ) )
  <~> ( ( p3
      <=> p2 )
    <=> p1 ) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ( ( ( p3
        <=> p2 )
      <=> p1 )
    <=> ( p3
      <=> ( p2
        <=> p1 ) ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ( ( ( p3
      <=> p2 )
    <=> p1 )
  <=> ( p3
    <=> ( p2
      <=> p1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel12) ).

fof(f51,plain,
    ( ~ spl1_2
    | ~ spl1_3
    | spl1_1
    | spl1_4 ),
    inference(avatar_split_clause,[],[f17,f37,f25,f33,f29]) ).

fof(f17,plain,
    ( p1
    | sP0
    | ~ p3
    | ~ p2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f50,plain,
    ( spl1_3
    | ~ spl1_2
    | spl1_1
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f19,f37,f25,f29,f33]) ).

fof(f19,plain,
    ( ~ p1
    | sP0
    | ~ p2
    | p3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f49,plain,
    ( ~ spl1_3
    | ~ spl1_1
    | spl1_2
    | spl1_4 ),
    inference(avatar_split_clause,[],[f20,f37,f29,f25,f33]) ).

fof(f20,plain,
    ( p1
    | p2
    | ~ sP0
    | ~ p3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f48,plain,
    ( spl1_3
    | spl1_1
    | spl1_4
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f12,f29,f37,f25,f33]) ).

fof(f12,plain,
    ( ~ p2
    | p1
    | sP0
    | p3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f47,plain,
    ( ~ spl1_1
    | ~ spl1_3
    | ~ spl1_4
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f23,f29,f37,f33,f25]) ).

fof(f23,plain,
    ( ~ p2
    | ~ p1
    | ~ p3
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f46,plain,
    ( spl1_3
    | spl1_2
    | ~ spl1_1
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f22,f37,f25,f29,f33]) ).

fof(f22,plain,
    ( ~ p1
    | ~ sP0
    | p2
    | p3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f45,plain,
    ( ~ spl1_3
    | ~ spl1_4
    | spl1_1
    | ~ spl1_2 ),
    inference(avatar_split_clause,[],[f15,f29,f25,f37,f33]) ).

fof(f15,plain,
    ( ~ p2
    | sP0
    | ~ p1
    | ~ p3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( spl1_1
    | spl1_2
    | ~ spl1_4
    | spl1_3 ),
    inference(avatar_split_clause,[],[f13,f33,f37,f29,f25]) ).

fof(f13,plain,
    ( p3
    | ~ p1
    | p2
    | sP0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f43,plain,
    ( ~ spl1_1
    | ~ spl1_2
    | spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f21,f37,f33,f29,f25]) ).

fof(f21,plain,
    ( p1
    | p3
    | ~ p2
    | ~ sP0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f42,plain,
    ( ~ spl1_4
    | ~ spl1_3
    | spl1_2
    | spl1_1 ),
    inference(avatar_split_clause,[],[f18,f25,f29,f33,f37]) ).

fof(f18,plain,
    ( sP0
    | p2
    | ~ p3
    | ~ p1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f41,plain,
    ( ~ spl1_2
    | ~ spl1_1
    | spl1_3
    | ~ spl1_4 ),
    inference(avatar_split_clause,[],[f11,f37,f33,f25,f29]) ).

fof(f11,plain,
    ( ~ p1
    | p3
    | ~ sP0
    | ~ p2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( ~ spl1_1
    | spl1_2
    | spl1_3
    | spl1_4 ),
    inference(avatar_split_clause,[],[f10,f37,f33,f29,f25]) ).

fof(f10,plain,
    ( p1
    | p3
    | p2
    | ~ sP0 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN393+1.003 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.14  % 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 : n015.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 22:06:06 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.21/0.51  % (17878)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/138Mi)
% 0.21/0.51  % (17879)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/498Mi)
% 0.21/0.51  % (17878)First to succeed.
% 0.21/0.51  % (17871)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/68Mi)
% 0.21/0.51  % (17878)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (17878)------------------------------
% 0.21/0.51  % (17878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (17878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (17878)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (17878)Memory used [KB]: 5373
% 0.21/0.51  % (17878)Time elapsed: 0.003 s
% 0.21/0.51  % (17878)Instructions burned: 2 (million)
% 0.21/0.51  % (17878)------------------------------
% 0.21/0.51  % (17878)------------------------------
% 0.21/0.51  % (17856)Success in time 0.149 s
%------------------------------------------------------------------------------