%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : RNG087+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 : n024.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 18:14:53 EDT 2022

% Result   : Theorem 1.42s 0.56s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   5 unt;   0 def)
%            Number of atoms       :   73 (  19 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :   69 (  14   ~;   7   |;  46   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   26 (   4   !;  22   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f142,plain,
    $false,
    inference(subsumption_resolution,[],[f141,f103]) ).

fof(f103,plain,
    aElementOf0(sK8,xI),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,plain,
    ( aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & aElementOf0(sK8,xI)
    & xy = sdtpldt0(sK8,sK7)
    & aElementOf0(sK7,xJ)
    & aElementOf0(sK10,xI)
    & xx = sdtpldt0(sK10,sK9)
    & aElementOf0(sK9,xJ)
    & aElementOf0(xy,sdtpldt1(xI,xJ)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f74,f76,f75]) ).

fof(f75,plain,
    ( ? [X0,X1] :
        ( aElementOf0(X1,xI)
        & sdtpldt0(X1,X0) = xy
        & aElementOf0(X0,xJ) )
   => ( aElementOf0(sK8,xI)
      & xy = sdtpldt0(sK8,sK7)
      & aElementOf0(sK7,xJ) ) ),
    introduced(choice_axiom,[]) ).

fof(f76,plain,
    ( ? [X2,X3] :
        ( aElementOf0(X3,xI)
        & xx = sdtpldt0(X3,X2)
        & aElementOf0(X2,xJ) )
   => ( aElementOf0(sK10,xI)
      & xx = sdtpldt0(sK10,sK9)
      & aElementOf0(sK9,xJ) ) ),
    introduced(choice_axiom,[]) ).

fof(f74,plain,
    ( aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & ? [X0,X1] :
        ( aElementOf0(X1,xI)
        & sdtpldt0(X1,X0) = xy
        & aElementOf0(X0,xJ) )
    & ? [X2,X3] :
        ( aElementOf0(X3,xI)
        & xx = sdtpldt0(X3,X2)
        & aElementOf0(X2,xJ) )
    & aElementOf0(xy,sdtpldt1(xI,xJ)) ),
    inference(rectify,[],[f32]) ).

fof(f32,plain,
    ( aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & ? [X1,X0] :
        ( aElementOf0(X0,xI)
        & sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ) )
    & ? [X3,X2] :
        ( aElementOf0(X2,xI)
        & xx = sdtpldt0(X2,X3)
        & aElementOf0(X3,xJ) )
    & aElementOf0(xy,sdtpldt1(xI,xJ)) ),
    inference(rectify,[],[f26]) ).

fof(f26,axiom,
    ( aElement0(xz)
    & aElementOf0(xx,sdtpldt1(xI,xJ))
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & ? [X1,X0] :
        ( aElementOf0(X0,xI)
        & sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ) )
    & ? [X0,X1] :
        ( sdtpldt0(X0,X1) = xx
        & aElementOf0(X0,xI)
        & aElementOf0(X1,xJ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__901) ).

fof(f141,plain,
    ~ aElementOf0(sK8,xI),
    inference(subsumption_resolution,[],[f140,f101]) ).

fof(f101,plain,
    aElementOf0(sK7,xJ),
    inference(cnf_transformation,[],[f77]) ).

fof(f140,plain,
    ( ~ aElementOf0(sK7,xJ)
    | ~ aElementOf0(sK8,xI) ),
    inference(trivial_inequality_removal,[],[f139]) ).

fof(f139,plain,
    ( xy != xy
    | ~ aElementOf0(sK7,xJ)
    | ~ aElementOf0(sK8,xI) ),
    inference(superposition,[],[f83,f102]) ).

fof(f102,plain,
    xy = sdtpldt0(sK8,sK7),
    inference(cnf_transformation,[],[f77]) ).

fof(f83,plain,
    ! [X0,X1] :
      ( sdtpldt0(X1,X0) != xy
      | ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X1,xI) ),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1] :
      ( sdtpldt0(X1,X0) != xy
      | ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X1,xI) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,plain,
    ~ ? [X0,X1] :
        ( sdtpldt0(X1,X0) = xy
        & aElementOf0(X1,xI)
        & aElementOf0(X0,xJ) ),
    inference(rectify,[],[f29]) ).

fof(f29,negated_conjecture,
    ~ ? [X1,X0] :
        ( aElementOf0(X0,xI)
        & sdtpldt0(X0,X1) = xy
        & aElementOf0(X1,xJ) ),
    inference(negated_conjecture,[],[f28]) ).

fof(f28,conjecture,
    ? [X1,X0] :
      ( aElementOf0(X0,xI)
      & sdtpldt0(X0,X1) = xy
      & aElementOf0(X1,xJ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : RNG087+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % 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 : n024.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 12:07:19 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.54  % (32678)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55  % (32678)First to succeed.
% 0.20/0.56  % (32694)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.42/0.56  % (32678)Refutation found. Thanks to Tanya!
% 1.42/0.56  % SZS status Theorem for theBenchmark
% 1.42/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.56  % (32678)------------------------------
% 1.42/0.56  % (32678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (32678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (32678)Termination reason: Refutation
% 1.42/0.56  
% 1.42/0.56  % (32678)Memory used [KB]: 6012
% 1.42/0.56  % (32678)Time elapsed: 0.125 s
% 1.42/0.56  % (32678)Instructions burned: 4 (million)
% 1.42/0.56  % (32678)------------------------------
% 1.42/0.56  % (32678)------------------------------
% 1.42/0.56  % (32668)Success in time 0.21 s
%------------------------------------------------------------------------------