TSTP Solution File: SYN392+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SYN392+1 : 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_uns --cores 0 -t %d %s

% Computer : n022.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 19:26:28 EDT 2022

% Result   : Theorem 0.20s 0.51s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   28 (   4 unt;   0 def)
%            Number of atoms       :  102 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  119 (  45   ~;  50   |;  15   &)
%                                         (   7 <=>;   0  =>;   0  <=;   2 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    4 (   3 usr;   4 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f37,plain,
    $false,
    inference(subsumption_resolution,[],[f36,f34]) ).

fof(f34,plain,
    ~ p1,
    inference(subsumption_resolution,[],[f22,f20]) ).

fof(f20,plain,
    ( ~ sP0
    | ~ p1 ),
    inference(subsumption_resolution,[],[f18,f9]) ).

fof(f9,plain,
    ( ~ sP0
    | p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( sP0
      | ( p2
        & ~ p1 )
      | ( p1
        & ~ p2 ) )
    & ( ( ( ~ p2
          | p1 )
        & ( ~ p1
          | p2 ) )
      | ~ sP0 ) ),
    inference(flattening,[],[f6]) ).

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

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

fof(f18,plain,
    ( ~ sP0
    | ~ p2
    | ~ p1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ( ~ sP0
      | ( ( ~ p1
          | ~ p2 )
        & ( p1
          | p2 ) ) )
    & ( sP0
      | ( ( p2
          | ~ p1 )
        & ( p1
          | ~ p2 ) ) ) ),
    inference(nnf_transformation,[],[f5]) ).

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

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

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

fof(f1,conjecture,
    ( ( ( ~ p2
        | p1 )
      & ( ~ p1
        | p2 ) )
  <=> ( p2
    <=> p1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel14) ).

fof(f22,plain,
    ( sP0
    | ~ p1 ),
    inference(subsumption_resolution,[],[f16,f11]) ).

fof(f11,plain,
    ( sP0
    | ~ p1
    | ~ p2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f16,plain,
    ( ~ p1
    | p2
    | sP0 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f36,plain,
    p1,
    inference(subsumption_resolution,[],[f33,f35]) ).

fof(f35,plain,
    p2,
    inference(subsumption_resolution,[],[f25,f34]) ).

fof(f25,plain,
    ( p1
    | p2 ),
    inference(duplicate_literal_removal,[],[f23]) ).

fof(f23,plain,
    ( p1
    | p2
    | p2 ),
    inference(resolution,[],[f19,f14]) ).

fof(f14,plain,
    ( sP0
    | p1
    | p2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f19,plain,
    ( ~ sP0
    | p2 ),
    inference(subsumption_resolution,[],[f17,f9]) ).

fof(f17,plain,
    ( ~ sP0
    | p2
    | p1 ),
    inference(cnf_transformation,[],[f8]) ).

fof(f33,plain,
    ( ~ p2
    | p1 ),
    inference(duplicate_literal_removal,[],[f31]) ).

fof(f31,plain,
    ( p1
    | ~ p2
    | ~ p2 ),
    inference(resolution,[],[f21,f10]) ).

fof(f10,plain,
    ( ~ sP0
    | ~ p2
    | p1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f21,plain,
    ( sP0
    | ~ p2 ),
    inference(subsumption_resolution,[],[f15,f11]) ).

fof(f15,plain,
    ( p1
    | ~ p2
    | sP0 ),
    inference(cnf_transformation,[],[f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : SYN392+1 : TPTP v8.1.0. Released v2.0.0.
% 0.04/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 21:52:26 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (13973)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.50  % (13977)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.50  % (13992)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.50  % (13977)First to succeed.
% 0.20/0.51  % (13984)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (13977)Refutation found. Thanks to Tanya!
% 0.20/0.51  % SZS status Theorem for theBenchmark
% 0.20/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (13977)------------------------------
% 0.20/0.51  % (13977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (13977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (13977)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (13977)Memory used [KB]: 1407
% 0.20/0.51  % (13977)Time elapsed: 0.093 s
% 0.20/0.51  % (13977)Instructions burned: 1 (million)
% 0.20/0.51  % (13977)------------------------------
% 0.20/0.51  % (13977)------------------------------
% 0.20/0.51  % (13971)Success in time 0.159 s
%------------------------------------------------------------------------------