%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM464+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 : n004.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 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   28 (   9 unt;   0 def)
%            Number of atoms       :   77 (  26 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   81 (  32   ~;  31   |;  13   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f304,plain,
    $false,
    inference(subsumption_resolution,[],[f291,f301]) ).

fof(f301,plain,
    sdtlseqdt0(sz10,sz10),
    inference(superposition,[],[f235,f290]) ).

fof(f290,plain,
    sz10 = xm,
    inference(subsumption_resolution,[],[f289,f102]) ).

fof(f102,plain,
    sz00 != xm,
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( sz00 != xm
    & ~ sdtlseqdt0(sz10,xm) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ( sz00 != xm
     => sdtlseqdt0(sz10,xm) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ( sz00 != xm
   => sdtlseqdt0(sz10,xm) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f289,plain,
    ( sz10 = xm
    | sz00 = xm ),
    inference(subsumption_resolution,[],[f288,f148]) ).

fof(f148,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f27]) ).

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

fof(f288,plain,
    ( ~ aNaturalNumber0(xm)
    | sz10 = xm
    | sz00 = xm ),
    inference(resolution,[],[f134,f101]) ).

fof(f101,plain,
    ~ sdtlseqdt0(sz10,xm),
    inference(cnf_transformation,[],[f69]) ).

fof(f134,plain,
    ! [X0] :
      ( sdtlseqdt0(sz10,X0)
      | sz00 = X0
      | sz10 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f71]) ).

fof(f71,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sz00 = X0
      | ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz10 = X0 ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ! [X0] :
      ( ( sdtlseqdt0(sz10,X0)
        & sz10 != X0 )
      | sz00 = X0
      | sz10 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f26]) ).

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

fof(f235,plain,
    sdtlseqdt0(xm,sz10),
    inference(subsumption_resolution,[],[f234,f146]) ).

fof(f146,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

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

fof(f234,plain,
    ( sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(sz10) ),
    inference(subsumption_resolution,[],[f230,f148]) ).

fof(f230,plain,
    ( ~ aNaturalNumber0(xm)
    | sdtlseqdt0(xm,sz10)
    | ~ aNaturalNumber0(sz10) ),
    inference(resolution,[],[f114,f101]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( ~ aNaturalNumber0(X0)
      | ( X0 != X1
        & sdtlseqdt0(X1,X0) )
      | ~ aNaturalNumber0(X1)
      | sdtlseqdt0(X0,X1) ),
    inference(rectify,[],[f48]) ).

fof(f48,plain,
    ! [X1,X0] :
      ( ~ aNaturalNumber0(X1)
      | ( X0 != X1
        & sdtlseqdt0(X0,X1) )
      | ~ aNaturalNumber0(X0)
      | sdtlseqdt0(X1,X0) ),
    inference(flattening,[],[f47]) ).

fof(f47,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | ( X0 != X1
        & sdtlseqdt0(X0,X1) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f38]) ).

fof(f38,plain,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | ( X0 != X1
          & sdtlseqdt0(X0,X1) ) ) ),
    inference(rectify,[],[f23]) ).

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

fof(f291,plain,
    ~ sdtlseqdt0(sz10,sz10),
    inference(superposition,[],[f101,f290]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM464+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n004.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 06:33:19 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.47  % (5943)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.52  % (5936)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)
% 0.19/0.52  % (5943)First to succeed.
% 0.19/0.52  % (5943)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Theorem for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (5943)------------------------------
% 0.19/0.52  % (5943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5943)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (5943)Memory used [KB]: 5500
% 0.19/0.52  % (5943)Time elapsed: 0.122 s
% 0.19/0.52  % (5943)Instructions burned: 9 (million)
% 0.19/0.52  % (5943)------------------------------
% 0.19/0.52  % (5943)------------------------------
% 0.19/0.52  % (5929)Success in time 0.177 s
%------------------------------------------------------------------------------