%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM458+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_sat --cores 0 -t %d %s

% Computer : n002.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 18:05:14 EDT 2022

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   28 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   24 (  11   ~;   7   |;   5   &)
%                                         (   0 <=>;   1  =>;   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f133,plain,
    $false,
    inference(subsumption_resolution,[],[f132,f81]) ).

fof(f81,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

fof(f2,axiom,
    aNaturalNumber0(sz00),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).

fof(f132,plain,
    ~ aNaturalNumber0(sz00),
    inference(trivial_inequality_removal,[],[f131]) ).

fof(f131,plain,
    ( xm != xm
    | ~ aNaturalNumber0(sz00) ),
    inference(superposition,[],[f79,f125]) ).

fof(f125,plain,
    xm = sdtpldt0(xm,sz00),
    inference(resolution,[],[f99,f90]) ).

fof(f90,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f20]) ).

fof(f20,axiom,
    aNaturalNumber0(xm),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__718) ).

fof(f99,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtpldt0(X0,sz00) = X0
        & sdtpldt0(sz00,X0) = X0 ) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtpldt0(X0,sz00) = X0
        & sdtpldt0(sz00,X0) = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).

fof(f79,plain,
    ! [X0] :
      ( xm != sdtpldt0(xm,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ( ~ sdtlseqdt0(xm,xm)
    & ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | xm != sdtpldt0(xm,X0) ) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,negated_conjecture,
    ~ ( sdtlseqdt0(xm,xm)
      | ? [X0] :
          ( xm = sdtpldt0(xm,X0)
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    ( sdtlseqdt0(xm,xm)
    | ? [X0] :
        ( xm = sdtpldt0(xm,X0)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM458+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_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n002.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 06:48:13 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.48  % (11764)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.48  % (11772)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50  % (11764)First to succeed.
% 0.20/0.50  % (11764)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50  % (11764)------------------------------
% 0.20/0.50  % (11764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (11764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50  % (11764)Termination reason: Refutation
% 0.20/0.50  
% 0.20/0.50  % (11764)Memory used [KB]: 1023
% 0.20/0.50  % (11764)Time elapsed: 0.088 s
% 0.20/0.50  % (11764)Instructions burned: 4 (million)
% 0.20/0.50  % (11764)------------------------------
% 0.20/0.50  % (11764)------------------------------
% 0.20/0.50  % (11748)Success in time 0.151 s
%------------------------------------------------------------------------------