%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM514+3 : 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 : n014.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 18:05:34 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   33 (  14 equ)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   34 (  12   ~;   6   |;  14   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   4   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f420,plain,
    $false,
    inference(subsumption_resolution,[],[f419,f277]) ).

fof(f277,plain,
    aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,axiom,
    ( aNaturalNumber0(sdtsldt0(xk,xr))
    & sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr))
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    & xk = sdtasdt0(xr,sdtsldt0(xk,xr)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2613) ).

fof(f419,plain,
    ~ aNaturalNumber0(sdtsldt0(xk,xr)),
    inference(equality_resolution,[],[f413]) ).

fof(f413,plain,
    ! [X0] :
      ( sdtasdt0(xp,X0) != sdtasdt0(xp,sdtsldt0(xk,xr))
      | ~ aNaturalNumber0(X0) ),
    inference(forward_demodulation,[],[f397,f276]) ).

fof(f276,plain,
    sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sdtsldt0(xk,xr)),
    inference(cnf_transformation,[],[f55]) ).

fof(f397,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
    inference(flattening,[],[f124]) ).

fof(f124,plain,
    ( ~ doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
    & ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | sdtasdt0(xp,X0) != sdtasdt0(sdtsldt0(xn,xr),xm) )
    & aNaturalNumber0(sdtsldt0(xn,xr))
    & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f57,negated_conjecture,
    ~ ( ( aNaturalNumber0(sdtsldt0(xn,xr))
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
     => ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
        | ? [X0] :
            ( aNaturalNumber0(X0)
            & sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ) ),
    inference(negated_conjecture,[],[f56]) ).

fof(f56,conjecture,
    ( ( aNaturalNumber0(sdtsldt0(xn,xr))
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr)) )
   => ( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
      | ? [X0] :
          ( aNaturalNumber0(X0)
          & sdtasdt0(xp,X0) = sdtasdt0(sdtsldt0(xn,xr),xm) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : NUM514+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35  % Computer : n014.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 06:51:33 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.20/0.50  % (6927)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (6928)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)
% 0.20/0.52  % (6933)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (6927)First to succeed.
% 0.20/0.52  % (6936)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (6927)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (6927)------------------------------
% 0.20/0.52  % (6927)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6927)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6927)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (6927)Memory used [KB]: 1151
% 0.20/0.52  % (6927)Time elapsed: 0.109 s
% 0.20/0.52  % (6927)Instructions burned: 11 (million)
% 0.20/0.52  % (6927)------------------------------
% 0.20/0.52  % (6927)------------------------------
% 0.20/0.52  % (6921)Success in time 0.162 s
%------------------------------------------------------------------------------