%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM551+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_uns --cores 0 -t %d %s

% Computer : n016.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 18:00:31 EDT 2022

% Result   : Theorem 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   6 unt;   0 def)
%            Number of atoms       :   68 (  15 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   75 (  32   ~;  24   |;  14   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :   32 (  25   !;   7   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f477,plain,
    $false,
    inference(resolution,[],[f463,f455]) ).

fof(f455,plain,
    aElementOf0(sK6(xQ),xQ),
    inference(subsumption_resolution,[],[f399,f300]) ).

fof(f300,plain,
    slcrc0 != xQ,
    inference(cnf_transformation,[],[f67]) ).

fof(f67,axiom,
    slcrc0 != xQ,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2313) ).

fof(f399,plain,
    ( slcrc0 = xQ
    | aElementOf0(sK6(xQ),xQ) ),
    inference(resolution,[],[f303,f269]) ).

fof(f269,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | aElementOf0(sK6(X0),X0)
      | slcrc0 = X0 ),
    inference(cnf_transformation,[],[f191]) ).

fof(f191,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | aElementOf0(sK6(X0),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f189,f190]) ).

fof(f190,plain,
    ! [X0] :
      ( ? [X2] : aElementOf0(X2,X0)
     => aElementOf0(sK6(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f189,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X2] : aElementOf0(X2,X0) ) ),
    inference(rectify,[],[f188]) ).

fof(f188,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(flattening,[],[f187]) ).

fof(f187,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(nnf_transformation,[],[f139]) ).

fof(f139,plain,
    ! [X0] :
      ( ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) )
    <=> slcrc0 = X0 ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( aSet0(X0)
        & ~ ? [X1] : aElementOf0(X1,X0) )
    <=> slcrc0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f303,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ( aSet0(xQ)
    & isFinite0(xQ)
    & xk = sbrdtbr0(xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2291) ).

fof(f463,plain,
    ! [X9] : ~ aElementOf0(X9,xQ),
    inference(duplicate_literal_removal,[],[f462]) ).

fof(f462,plain,
    ! [X9] :
      ( ~ aElementOf0(X9,xQ)
      | ~ aElementOf0(X9,xQ) ),
    inference(resolution,[],[f420,f303]) ).

fof(f420,plain,
    ! [X2,X1] :
      ( ~ aSet0(X2)
      | ~ aElementOf0(X1,X2)
      | ~ aElementOf0(X1,xQ) ),
    inference(resolution,[],[f344,f343]) ).

fof(f343,plain,
    ! [X0,X1] :
      ( aElement0(X1)
      | ~ aSet0(X0)
      | ~ aElementOf0(X1,X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).

fof(f344,plain,
    ! [X0] :
      ( ~ aElement0(X0)
      | ~ aElementOf0(X0,xQ) ),
    inference(cnf_transformation,[],[f134]) ).

fof(f134,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f69,negated_conjecture,
    ~ ? [X0] :
        ( aElement0(X0)
        & aElementOf0(X0,xQ) ),
    inference(negated_conjecture,[],[f68]) ).

fof(f68,conjecture,
    ? [X0] :
      ( aElement0(X0)
      & aElementOf0(X0,xQ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM551+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_uns --cores 0 -t %d %s
% 0.14/0.34  % Computer : n016.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Tue Aug 30 07:23:30 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.20/0.50  % (17222)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.50  % (17214)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50  % (17214)Instruction limit reached!
% 0.20/0.50  % (17214)------------------------------
% 0.20/0.50  % (17214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50  % (17207)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.50  % (17202)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.51  % (17218)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (17198)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.51  % (17207)Instruction limit reached!
% 0.20/0.51  % (17207)------------------------------
% 0.20/0.51  % (17207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (17214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17214)Termination reason: Unknown
% 0.20/0.51  % (17214)Termination phase: Preprocessing 3
% 0.20/0.51  
% 0.20/0.51  % (17214)Memory used [KB]: 1535
% 0.20/0.51  % (17214)Time elapsed: 0.003 s
% 0.20/0.51  % (17214)Instructions burned: 3 (million)
% 0.20/0.51  % (17214)------------------------------
% 0.20/0.51  % (17214)------------------------------
% 0.20/0.51  % (17207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (17207)Termination reason: Unknown
% 0.20/0.51  % (17207)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (17207)Memory used [KB]: 6268
% 0.20/0.51  % (17207)Time elapsed: 0.112 s
% 0.20/0.51  % (17207)Instructions burned: 12 (million)
% 0.20/0.51  % (17207)------------------------------
% 0.20/0.51  % (17207)------------------------------
% 0.20/0.51  % (17200)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (17220)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.52  % (17202)First to succeed.
% 0.20/0.52  % (17202)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Theorem for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (17202)------------------------------
% 0.20/0.52  % (17202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (17202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (17202)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (17202)Memory used [KB]: 1791
% 0.20/0.52  % (17202)Time elapsed: 0.115 s
% 0.20/0.52  % (17202)Instructions burned: 11 (million)
% 0.20/0.52  % (17202)------------------------------
% 0.20/0.52  % (17202)------------------------------
% 0.20/0.52  % (17191)Success in time 0.164 s
%------------------------------------------------------------------------------