%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN044+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_sat --cores 0 -t %d %s

% Computer : n026.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 19:36:38 EDT 2022

% Result   : Theorem 0.19s 0.46s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   26 (   1 unt;   0 def)
%            Number of atoms       :   58 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   49 (  17   ~;  21   |;   2   &)
%                                         (   5 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    7 (   6 usr;   7 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,plain,
    $false,
    inference(avatar_sat_refutation,[],[f25,f30,f31,f32,f33,f34]) ).

fof(f34,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f27,f18]) ).

fof(f18,plain,
    ( spl0_1
  <=> q ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f27,plain,
    ( spl0_3
  <=> p ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f13,plain,
    ( p
    | q ),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,plain,
    ( p
  <~> q ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,negated_conjecture,
    ~ ( p
    <=> q ),
    inference(negated_conjecture,[],[f4]) ).

fof(f4,conjecture,
    ( p
  <=> q ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10) ).

fof(f33,plain,
    ( ~ spl0_1
    | ~ spl0_3 ),
    inference(avatar_split_clause,[],[f14,f27,f18]) ).

fof(f14,plain,
    ( ~ p
    | ~ q ),
    inference(cnf_transformation,[],[f10]) ).

fof(f32,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f22,f18]) ).

fof(f22,plain,
    ( spl0_2
  <=> r ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ( r
    | ~ q ),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,plain,
    ( ~ q
    | r ),
    inference(ennf_transformation,[],[f1]) ).

fof(f1,axiom,
    ( q
   => r ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_1) ).

fof(f31,plain,
    ( ~ spl0_3
    | spl0_2
    | spl0_1 ),
    inference(avatar_split_clause,[],[f11,f18,f22,f27]) ).

fof(f11,plain,
    ( q
    | r
    | ~ p ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( r
    | ~ p
    | q ),
    inference(flattening,[],[f6]) ).

fof(f6,plain,
    ( r
    | q
    | ~ p ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( p
   => ( r
      | q ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_3) ).

fof(f30,plain,
    ( spl0_3
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f15,f22,f27]) ).

fof(f15,plain,
    ( ~ r
    | p ),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,plain,
    ( ( q
      & p )
    | ~ r ),
    inference(ennf_transformation,[],[f2]) ).

fof(f2,axiom,
    ( r
   => ( q
      & p ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel10_2) ).

fof(f25,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f16,f22,f18]) ).

fof(f16,plain,
    ( ~ r
    | q ),
    inference(cnf_transformation,[],[f9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN044+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n026.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 21:37:36 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.19/0.45  % (2110)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/100Mi)
% 0.19/0.46  % (2128)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/355Mi)
% 0.19/0.46  % (2110)First to succeed.
% 0.19/0.46  % (2110)Refutation found. Thanks to Tanya!
% 0.19/0.46  % SZS status Theorem for theBenchmark
% 0.19/0.46  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.46  % (2110)------------------------------
% 0.19/0.46  % (2110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.46  % (2110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.46  % (2110)Termination reason: Refutation
% 0.19/0.46  
% 0.19/0.46  % (2110)Memory used [KB]: 5373
% 0.19/0.46  % (2110)Time elapsed: 0.005 s
% 0.19/0.46  % (2110)Instructions burned: 1 (million)
% 0.19/0.46  % (2110)------------------------------
% 0.19/0.46  % (2110)------------------------------
% 0.19/0.46  % (2098)Success in time 0.122 s
%------------------------------------------------------------------------------