%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM472+2 : 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 : n010.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 17:59:50 EDT 2022

% Result   : Theorem 0.19s 0.47s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   13 (   6 unt;   0 def)
%            Number of atoms       :   24 (   9 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   22 (  11   ~;   6   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    6 (   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f233,plain,
    $false,
    inference(subsumption_resolution,[],[f232,f172]) ).

fof(f172,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,axiom,
    ( aNaturalNumber0(xl)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).

fof(f232,plain,
    ~ aNaturalNumber0(xn),
    inference(trivial_inequality_removal,[],[f231]) ).

fof(f231,plain,
    ( sF4 != sF4
    | ~ aNaturalNumber0(xn) ),
    inference(superposition,[],[f226,f230]) ).

fof(f230,plain,
    sF5(xn) = sF4,
    inference(backward_demodulation,[],[f224,f225]) ).

fof(f225,plain,
    ! [X0] : sdtpldt0(xm,X0) = sF5(X0),
    introduced(function_definition,[]) ).

fof(f224,plain,
    sdtpldt0(xm,xn) = sF4,
    introduced(function_definition,[]) ).

fof(f226,plain,
    ! [X0] :
      ( sF5(X0) != sF4
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f212,f225,f224]) ).

fof(f212,plain,
    ! [X0] :
      ( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f87,plain,
    ( ! [X0] :
        ( sdtpldt0(xm,xn) != sdtpldt0(xm,X0)
        | ~ aNaturalNumber0(X0) )
    & ~ sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f40,negated_conjecture,
    ~ ( ? [X0] :
          ( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) )
      | sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    inference(negated_conjecture,[],[f39]) ).

fof(f39,conjecture,
    ( ? [X0] :
        ( sdtpldt0(xm,xn) = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) )
    | sdtlseqdt0(xm,sdtpldt0(xm,xn)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM472+2 : 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
% 0.13/0.34  % Computer : n010.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 06:30:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.45  % (26262)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.46  % (26262)First to succeed.
% 0.19/0.46  % (26277)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47  % (26262)Refutation found. Thanks to Tanya!
% 0.19/0.47  % SZS status Theorem for theBenchmark
% 0.19/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47  % (26262)------------------------------
% 0.19/0.47  % (26262)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.47  % (26262)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.47  % (26262)Termination reason: Refutation
% 0.19/0.47  
% 0.19/0.47  % (26262)Memory used [KB]: 6012
% 0.19/0.47  % (26262)Time elapsed: 0.071 s
% 0.19/0.47  % (26262)Instructions burned: 5 (million)
% 0.19/0.47  % (26262)------------------------------
% 0.19/0.47  % (26262)------------------------------
% 0.19/0.47  % (26256)Success in time 0.121 s
%------------------------------------------------------------------------------