%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM464+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 : n006.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 18:05:16 EDT 2022

% Result   : Theorem 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (  10 unt;   0 def)
%            Number of atoms       :   66 (  35 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   67 (  28   ~;  22   |;  13   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f206,plain,
    $false,
    inference(subsumption_resolution,[],[f205,f150]) ).

fof(f150,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f42]) ).

fof(f42,plain,
    ( ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | xm != sdtpldt0(sz10,X0) )
    & sz00 != xm
    & ~ sdtlseqdt0(sz10,xm) ),
    inference(flattening,[],[f41]) ).

fof(f41,plain,
    ( ~ sdtlseqdt0(sz10,xm)
    & ! [X0] :
        ( ~ aNaturalNumber0(X0)
        | xm != sdtpldt0(sz10,X0) )
    & sz00 != xm ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => ( sdtlseqdt0(sz10,xm)
        | ? [X0] :
            ( aNaturalNumber0(X0)
            & xm = sdtpldt0(sz10,X0) ) ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => ( sdtlseqdt0(sz10,xm)
      | ? [X0] :
          ( aNaturalNumber0(X0)
          & xm = sdtpldt0(sz10,X0) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f205,plain,
    sz00 = xm,
    inference(subsumption_resolution,[],[f204,f202]) ).

fof(f202,plain,
    sz10 != xm,
    inference(subsumption_resolution,[],[f201,f135]) ).

fof(f135,plain,
    aNaturalNumber0(sz00),
    inference(cnf_transformation,[],[f2]) ).

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

fof(f201,plain,
    ( sz10 != xm
    | ~ aNaturalNumber0(sz00) ),
    inference(superposition,[],[f151,f170]) ).

fof(f170,plain,
    sz10 = sdtpldt0(sz10,sz00),
    inference(resolution,[],[f129,f122]) ).

fof(f122,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( aNaturalNumber0(sz10)
    & sz00 != sz10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f129,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sdtpldt0(X0,sz00) = X0 ),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | ( sdtpldt0(sz00,X0) = X0
        & sdtpldt0(X0,sz00) = X0 ) ),
    inference(ennf_transformation,[],[f8]) ).

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

fof(f151,plain,
    ! [X0] :
      ( xm != sdtpldt0(sz10,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f42]) ).

fof(f204,plain,
    ( sz10 = xm
    | sz00 = xm ),
    inference(subsumption_resolution,[],[f203,f137]) ).

fof(f137,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,axiom,
    ( aNaturalNumber0(xn)
    & aNaturalNumber0(xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).

fof(f203,plain,
    ( ~ aNaturalNumber0(xm)
    | sz00 = xm
    | sz10 = xm ),
    inference(resolution,[],[f125,f149]) ).

fof(f149,plain,
    ~ sdtlseqdt0(sz10,xm),
    inference(cnf_transformation,[],[f42]) ).

fof(f125,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | ~ aNaturalNumber0(X0)
      | sz10 = X0
      | sz00 = X0 ),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sz10 = X0
      | ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | sz00 = X0 ),
    inference(flattening,[],[f46]) ).

fof(f46,plain,
    ! [X0] :
      ( sz10 = X0
      | ( sz10 != X0
        & sdtlseqdt0(sz10,X0) )
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f26,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sz10 = X0
        | ( sz10 != X0
          & sdtlseqdt0(sz10,X0) )
        | sz00 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem    : NUM464+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 06:35:55 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.46  % (10113)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)
% 0.19/0.47  % (10105)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)
% 0.19/0.47  % (10097)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.48  % (10089)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.48  % (10090)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.48  % (10105)First to succeed.
% 0.19/0.48  % (10097)Instruction limit reached!
% 0.19/0.48  % (10097)------------------------------
% 0.19/0.48  % (10097)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  TRYING [1]
% 0.19/0.48  % (10113)Also succeeded, but the first one will report.
% 0.19/0.48  % (10105)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Theorem for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (10105)------------------------------
% 0.19/0.48  % (10105)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (10105)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (10105)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (10105)Memory used [KB]: 1023
% 0.19/0.48  % (10105)Time elapsed: 0.077 s
% 0.19/0.48  % (10105)Instructions burned: 5 (million)
% 0.19/0.48  % (10105)------------------------------
% 0.19/0.48  % (10105)------------------------------
% 0.19/0.48  % (10086)Success in time 0.145 s
%------------------------------------------------------------------------------