%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM521+1 : 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_sat --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 18:05:36 EDT 2022

% Result   : Theorem 0.21s 0.52s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   43 (  14 unt;   0 def)
%            Number of atoms       :   97 (  14 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  101 (  47   ~;  38   |;  10   &)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   13 (  13   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f457,plain,
    $false,
    inference(avatar_sat_refutation,[],[f301,f407,f425,f439,f456]) ).

fof(f456,plain,
    ~ spl4_5,
    inference(avatar_contradiction_clause,[],[f455]) ).

fof(f455,plain,
    ( $false
    | ~ spl4_5 ),
    inference(subsumption_resolution,[],[f450,f193]) ).

fof(f193,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xp)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).

fof(f450,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl4_5 ),
    inference(resolution,[],[f440,f195]) ).

fof(f195,plain,
    ! [X0] :
      ( sdtlseqdt0(X0,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtlseqdt0(X0,X0) ),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => sdtlseqdt0(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLERefl) ).

fof(f440,plain,
    ( ~ sdtlseqdt0(xp,xp)
    | ~ spl4_5 ),
    inference(backward_demodulation,[],[f178,f288]) ).

fof(f288,plain,
    ( xn = xp
    | ~ spl4_5 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f286,plain,
    ( spl4_5
  <=> xn = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).

fof(f178,plain,
    ~ sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ sdtlseqdt0(xp,xn),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1870) ).

fof(f439,plain,
    spl4_7,
    inference(avatar_split_clause,[],[f438,f294]) ).

fof(f294,plain,
    ( spl4_7
  <=> sdtlseqdt0(xm,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).

fof(f438,plain,
    sdtlseqdt0(xm,xp),
    inference(subsumption_resolution,[],[f437,f193]) ).

fof(f437,plain,
    ( sdtlseqdt0(xm,xp)
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f433,f192]) ).

fof(f192,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f433,plain,
    ( sdtlseqdt0(xm,xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp) ),
    inference(resolution,[],[f215,f220]) ).

fof(f220,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f157]) ).

fof(f157,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X1,X0)
      | ( sdtlseqdt0(X0,X1)
        & X0 != X1 )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f129]) ).

fof(f129,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtlseqdt0(X0,X1)
      | ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | ~ aNaturalNumber0(X1) ),
    inference(flattening,[],[f128]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,X1)
      | ( sdtlseqdt0(X1,X0)
        & X0 != X1 )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f23]) ).

fof(f23,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X0,X1)
        | ( sdtlseqdt0(X1,X0)
          & X0 != X1 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETotal) ).

fof(f215,plain,
    ~ sdtlseqdt0(xp,xm),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ~ sdtlseqdt0(xp,xm),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).

fof(f425,plain,
    ~ spl4_6,
    inference(avatar_contradiction_clause,[],[f424]) ).

fof(f424,plain,
    ( $false
    | ~ spl4_6 ),
    inference(subsumption_resolution,[],[f419,f193]) ).

fof(f419,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ spl4_6 ),
    inference(resolution,[],[f410,f195]) ).

fof(f410,plain,
    ( ~ sdtlseqdt0(xp,xp)
    | ~ spl4_6 ),
    inference(backward_demodulation,[],[f215,f292]) ).

fof(f292,plain,
    ( xm = xp
    | ~ spl4_6 ),
    inference(avatar_component_clause,[],[f290]) ).

fof(f290,plain,
    ( spl4_6
  <=> xm = xp ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).

fof(f407,plain,
    spl4_8,
    inference(avatar_split_clause,[],[f406,f298]) ).

fof(f298,plain,
    ( spl4_8
  <=> sdtlseqdt0(xn,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).

fof(f406,plain,
    sdtlseqdt0(xn,xp),
    inference(subsumption_resolution,[],[f397,f194]) ).

fof(f194,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f397,plain,
    ( ~ aNaturalNumber0(xn)
    | sdtlseqdt0(xn,xp) ),
    inference(subsumption_resolution,[],[f377,f193]) ).

fof(f377,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(xn)
    | sdtlseqdt0(xn,xp) ),
    inference(resolution,[],[f220,f178]) ).

fof(f301,plain,
    ( spl4_5
    | spl4_6
    | ~ spl4_7
    | ~ spl4_8 ),
    inference(avatar_split_clause,[],[f228,f298,f294,f290,f286]) ).

fof(f228,plain,
    ( ~ sdtlseqdt0(xn,xp)
    | ~ sdtlseqdt0(xm,xp)
    | xm = xp
    | xn = xp ),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( ~ sdtlseqdt0(xn,xp)
    | xn = xp
    | ~ sdtlseqdt0(xm,xp)
    | xm = xp ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ~ ( xm != xp
      & sdtlseqdt0(xn,xp)
      & xn != xp
      & sdtlseqdt0(xm,xp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM521+1 : 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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n009.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 06:50:05 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (29479)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 (2999ds/355Mi)
% 0.21/0.50  % (29453)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.21/0.51  % (29462)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.52  % (29453)First to succeed.
% 0.21/0.52  % (29452)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (29451)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (29454)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52  % (29453)Refutation found. Thanks to Tanya!
% 0.21/0.52  % SZS status Theorem for theBenchmark
% 0.21/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52  % (29453)------------------------------
% 0.21/0.52  % (29453)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52  % (29453)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52  % (29453)Termination reason: Refutation
% 0.21/0.52  
% 0.21/0.52  % (29453)Memory used [KB]: 5628
% 0.21/0.52  % (29453)Time elapsed: 0.101 s
% 0.21/0.52  % (29453)Instructions burned: 9 (million)
% 0.21/0.52  % (29453)------------------------------
% 0.21/0.52  % (29453)------------------------------
% 0.21/0.52  % (29445)Success in time 0.173 s
%------------------------------------------------------------------------------