%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : RNG086+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 : n005.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 18:15:45 EDT 2022

% Result   : Theorem 0.19s 0.50s
% Output   : Refutation 0.19s
% 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 :   71 (  16   ~;   9   |;  44   &)
%                                         (   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 (   6   !;  20   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f186,plain,
    $false,
    inference(subsumption_resolution,[],[f185,f140]) ).

fof(f140,plain,
    aElementOf0(sK7,xI),
    inference(cnf_transformation,[],[f90]) ).

fof(f90,plain,
    ( aElementOf0(sK7,xI)
    & aElementOf0(sK8,xJ)
    & xx = sdtpldt0(sK7,sK8)
    & aElementOf0(sK9,xJ)
    & xy = sdtpldt0(sK10,sK9)
    & aElementOf0(sK10,xI)
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & aElementOf0(xx,sdtpldt1(xI,xJ)) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8,sK9,sK10])],[f87,f89,f88]) ).

fof(f88,plain,
    ( ? [X0,X1] :
        ( aElementOf0(X0,xI)
        & aElementOf0(X1,xJ)
        & sdtpldt0(X0,X1) = xx )
   => ( aElementOf0(sK7,xI)
      & aElementOf0(sK8,xJ)
      & xx = sdtpldt0(sK7,sK8) ) ),
    introduced(choice_axiom,[]) ).

fof(f89,plain,
    ( ? [X2,X3] :
        ( aElementOf0(X2,xJ)
        & xy = sdtpldt0(X3,X2)
        & aElementOf0(X3,xI) )
   => ( aElementOf0(sK9,xJ)
      & xy = sdtpldt0(sK10,sK9)
      & aElementOf0(sK10,xI) ) ),
    introduced(choice_axiom,[]) ).

fof(f87,plain,
    ( ? [X0,X1] :
        ( aElementOf0(X0,xI)
        & aElementOf0(X1,xJ)
        & sdtpldt0(X0,X1) = xx )
    & ? [X2,X3] :
        ( aElementOf0(X2,xJ)
        & xy = sdtpldt0(X3,X2)
        & aElementOf0(X3,xI) )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & aElementOf0(xx,sdtpldt1(xI,xJ)) ),
    inference(rectify,[],[f38]) ).

fof(f38,plain,
    ( ? [X2,X3] :
        ( aElementOf0(X2,xI)
        & aElementOf0(X3,xJ)
        & xx = sdtpldt0(X2,X3) )
    & ? [X1,X0] :
        ( aElementOf0(X1,xJ)
        & sdtpldt0(X0,X1) = xy
        & aElementOf0(X0,xI) )
    & aElementOf0(xy,sdtpldt1(xI,xJ))
    & aElement0(xz)
    & aElementOf0(xx,sdtpldt1(xI,xJ)) ),
    inference(rectify,[],[f26]) ).

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

fof(f185,plain,
    ~ aElementOf0(sK7,xI),
    inference(subsumption_resolution,[],[f184,f139]) ).

fof(f139,plain,
    aElementOf0(sK8,xJ),
    inference(cnf_transformation,[],[f90]) ).

fof(f184,plain,
    ( ~ aElementOf0(sK8,xJ)
    | ~ aElementOf0(sK7,xI) ),
    inference(trivial_inequality_removal,[],[f183]) ).

fof(f183,plain,
    ( xx != xx
    | ~ aElementOf0(sK7,xI)
    | ~ aElementOf0(sK8,xJ) ),
    inference(superposition,[],[f155,f138]) ).

fof(f138,plain,
    xx = sdtpldt0(sK7,sK8),
    inference(cnf_transformation,[],[f90]) ).

fof(f155,plain,
    ! [X0,X1] :
      ( sdtpldt0(X1,X0) != xx
      | ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X1,xI) ),
    inference(cnf_transformation,[],[f97]) ).

fof(f97,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X0,xJ)
      | ~ aElementOf0(X1,xI)
      | sdtpldt0(X1,X0) != xx ),
    inference(rectify,[],[f47]) ).

fof(f47,plain,
    ! [X1,X0] :
      ( ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI)
      | sdtpldt0(X0,X1) != xx ),
    inference(ennf_transformation,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ? [X1,X0] :
        ( aElementOf0(X1,xJ)
        & aElementOf0(X0,xI)
        & sdtpldt0(X0,X1) = xx ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ? [X1,X0] :
      ( aElementOf0(X1,xJ)
      & aElementOf0(X0,xI)
      & sdtpldt0(X0,X1) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : RNG086+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n005.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:02:48 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.48  % (4619)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.49  % (4619)First to succeed.
% 0.19/0.49  % (4612)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50  % (4619)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Theorem for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (4619)------------------------------
% 0.19/0.50  % (4619)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (4619)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (4619)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (4619)Memory used [KB]: 5628
% 0.19/0.50  % (4619)Time elapsed: 0.093 s
% 0.19/0.50  % (4619)Instructions burned: 10 (million)
% 0.19/0.50  % (4619)------------------------------
% 0.19/0.50  % (4619)------------------------------
% 0.19/0.50  % (4598)Success in time 0.156 s
%------------------------------------------------------------------------------