%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% 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 : n009.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 18:15:06 EDT 2022

% Result   : Theorem 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (   8 unt;   0 def)
%            Number of atoms       :   92 (  29 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   90 (  31   ~;  22   |;  32   &)
%                                         (   3 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   4 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :   21 (   9   !;  12   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f555,plain,
    $false,
    inference(avatar_sat_refutation,[],[f481,f483,f494,f544]) ).

fof(f544,plain,
    ( ~ spl40_11
    | ~ spl40_9 ),
    inference(avatar_split_clause,[],[f543,f475,f486]) ).

fof(f486,plain,
    ( spl40_11
  <=> aElement0(sK15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_11])]) ).

fof(f475,plain,
    ( spl40_9
  <=> ! [X0] :
        ( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
        | ~ aElement0(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_9])]) ).

fof(f543,plain,
    ( ~ aElement0(sK15)
    | ~ spl40_9 ),
    inference(trivial_inequality_removal,[],[f542]) ).

fof(f542,plain,
    ( ~ aElement0(sK15)
    | xu != xu
    | ~ spl40_9 ),
    inference(forward_demodulation,[],[f539,f301]) ).

fof(f301,plain,
    xu = sdtpldt0(xk,xl),
    inference(cnf_transformation,[],[f169]) ).

fof(f169,plain,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & aElementOf0(xk,slsdtgt0(xa))
    & xl = sdtasdt0(xb,sK15)
    & aElement0(sK15)
    & aElement0(sK16)
    & xk = sdtasdt0(xa,sK16) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15,sK16])],[f166,f168,f167]) ).

fof(f167,plain,
    ( ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
   => ( xl = sdtasdt0(xb,sK15)
      & aElement0(sK15) ) ),
    introduced(choice_axiom,[]) ).

fof(f168,plain,
    ( ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk )
   => ( aElement0(sK16)
      & xk = sdtasdt0(xa,sK16) ) ),
    introduced(choice_axiom,[]) ).

fof(f166,plain,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X0] :
        ( sdtasdt0(xb,X0) = xl
        & aElement0(X0) )
    & ? [X1] :
        ( aElement0(X1)
        & sdtasdt0(xa,X1) = xk ) ),
    inference(rectify,[],[f55]) ).

fof(f55,plain,
    ( xu = sdtpldt0(xk,xl)
    & aElementOf0(xl,slsdtgt0(xb))
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X1] :
        ( sdtasdt0(xb,X1) = xl
        & aElement0(X1) )
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xa,X0) = xk ) ),
    inference(rectify,[],[f47]) ).

fof(f47,axiom,
    ( xu = sdtpldt0(xk,xl)
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xa,X0) = xk )
    & aElementOf0(xk,slsdtgt0(xa))
    & ? [X0] :
        ( aElement0(X0)
        & sdtasdt0(xb,X0) = xl )
    & aElementOf0(xl,slsdtgt0(xb)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2456) ).

fof(f539,plain,
    ( ~ aElement0(sK15)
    | xu != sdtpldt0(xk,xl)
    | ~ spl40_9 ),
    inference(superposition,[],[f476,f298]) ).

fof(f298,plain,
    xl = sdtasdt0(xb,sK15),
    inference(cnf_transformation,[],[f169]) ).

fof(f476,plain,
    ( ! [X0] :
        ( xu != sdtpldt0(xk,sdtasdt0(xb,X0))
        | ~ aElement0(X0) )
    | ~ spl40_9 ),
    inference(avatar_component_clause,[],[f475]) ).

fof(f494,plain,
    spl40_11,
    inference(avatar_contradiction_clause,[],[f493]) ).

fof(f493,plain,
    ( $false
    | spl40_11 ),
    inference(resolution,[],[f488,f297]) ).

fof(f297,plain,
    aElement0(sK15),
    inference(cnf_transformation,[],[f169]) ).

fof(f488,plain,
    ( ~ aElement0(sK15)
    | spl40_11 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f483,plain,
    spl40_10,
    inference(avatar_contradiction_clause,[],[f482]) ).

fof(f482,plain,
    ( $false
    | spl40_10 ),
    inference(resolution,[],[f480,f296]) ).

fof(f296,plain,
    aElement0(sK16),
    inference(cnf_transformation,[],[f169]) ).

fof(f480,plain,
    ( ~ aElement0(sK16)
    | spl40_10 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl40_10
  <=> aElement0(sK16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl40_10])]) ).

fof(f481,plain,
    ( spl40_9
    | ~ spl40_10 ),
    inference(avatar_split_clause,[],[f473,f478,f475]) ).

fof(f473,plain,
    ! [X0] :
      ( ~ aElement0(sK16)
      | xu != sdtpldt0(xk,sdtasdt0(xb,X0))
      | ~ aElement0(X0) ),
    inference(superposition,[],[f270,f295]) ).

fof(f295,plain,
    xk = sdtasdt0(xa,sK16),
    inference(cnf_transformation,[],[f169]) ).

fof(f270,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X0))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( xu != sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(xb,X0))
      | ~ aElement0(X0)
      | ~ aElement0(X1) ),
    inference(rectify,[],[f79]) ).

fof(f79,plain,
    ! [X1,X0] :
      ( xu != sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      | ~ aElement0(X1)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f49]) ).

fof(f49,negated_conjecture,
    ~ ? [X0,X1] :
        ( aElement0(X1)
        & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f48]) ).

fof(f48,conjecture,
    ? [X0,X1] :
      ( aElement0(X1)
      & xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1))
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : RNG116+4 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:09:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.50  % (31613)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50  % (31621)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.51  % (31613)Instruction limit reached!
% 0.19/0.51  % (31613)------------------------------
% 0.19/0.51  % (31613)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (31621)First to succeed.
% 0.19/0.51  % (31613)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (31613)Termination reason: Unknown
% 0.19/0.51  % (31613)Termination phase: Preprocessing 3
% 0.19/0.51  
% 0.19/0.51  % (31613)Memory used [KB]: 1535
% 0.19/0.51  % (31613)Time elapsed: 0.005 s
% 0.19/0.51  % (31613)Instructions burned: 3 (million)
% 0.19/0.51  % (31613)------------------------------
% 0.19/0.51  % (31613)------------------------------
% 0.19/0.52  % (31621)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (31621)------------------------------
% 0.19/0.52  % (31621)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (31621)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (31621)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (31621)Memory used [KB]: 6268
% 0.19/0.52  % (31621)Time elapsed: 0.092 s
% 0.19/0.52  % (31621)Instructions burned: 11 (million)
% 0.19/0.52  % (31621)------------------------------
% 0.19/0.52  % (31621)------------------------------
% 0.19/0.52  % (31598)Success in time 0.159 s
%------------------------------------------------------------------------------