%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM531+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 : n003.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 18:00:24 EDT 2022

% Result   : Theorem 0.21s 0.51s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :   86 (  20 equ)
%            Maximal formula atoms :    8 (   3 avg)
%            Number of connectives :   97 (  39   ~;  21   |;  30   &)
%                                         (   2 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   35 (  25   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f40]) ).

fof(f40,plain,
    isFinite0(sK1),
    inference(definition_unfolding,[],[f36,f34]) ).

fof(f34,plain,
    slcrc0 = sK1,
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ( aSet0(sK1)
    & slcrc0 = sK1
    & isCountable0(sK1)
    & ! [X1] : ~ aElementOf0(X1,sK1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f20,f26]) ).

fof(f26,plain,
    ( ? [X0] :
        ( aSet0(X0)
        & slcrc0 = X0
        & isCountable0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) )
   => ( aSet0(sK1)
      & slcrc0 = sK1
      & isCountable0(sK1)
      & ! [X1] : ~ aElementOf0(X1,sK1) ) ),
    introduced(choice_axiom,[]) ).

fof(f20,plain,
    ? [X0] :
      ( aSet0(X0)
      & slcrc0 = X0
      & isCountable0(X0)
      & ! [X1] : ~ aElementOf0(X1,X0) ),
    inference(flattening,[],[f19]) ).

fof(f19,plain,
    ? [X0] :
      ( slcrc0 = X0
      & ! [X1] : ~ aElementOf0(X1,X0)
      & aSet0(X0)
      & isCountable0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,negated_conjecture,
    ~ ! [X0] :
        ( ( aSet0(X0)
          & isCountable0(X0) )
       => ~ ( slcrc0 = X0
            & ~ ? [X1] : aElementOf0(X1,X0) ) ),
    inference(negated_conjecture,[],[f9]) ).

fof(f9,conjecture,
    ! [X0] :
      ( ( aSet0(X0)
        & isCountable0(X0) )
     => ~ ( slcrc0 = X0
          & ~ ? [X1] : aElementOf0(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f36,plain,
    isFinite0(slcrc0),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    isFinite0(slcrc0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).

fof(f48,plain,
    ~ isFinite0(sK1),
    inference(subsumption_resolution,[],[f47,f41]) ).

fof(f41,plain,
    aSet0(sK1),
    inference(equality_resolution,[],[f38]) ).

fof(f38,plain,
    ! [X0] :
      ( aSet0(X0)
      | sK1 != X0 ),
    inference(definition_unfolding,[],[f29,f34]) ).

fof(f29,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | aElementOf0(sK0(X0),X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f23,f24]) ).

fof(f24,plain,
    ! [X0] :
      ( ? [X1] : aElementOf0(X1,X0)
     => aElementOf0(sK0(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f23,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X2] : ~ aElementOf0(X2,X0) )
        | slcrc0 != X0 ) ),
    inference(rectify,[],[f22]) ).

fof(f22,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(flattening,[],[f21]) ).

fof(f21,plain,
    ! [X0] :
      ( ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) )
      & ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 ) ),
    inference(nnf_transformation,[],[f18]) ).

fof(f18,plain,
    ! [X0] :
      ( slcrc0 = X0
    <=> ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f47,plain,
    ( ~ aSet0(sK1)
    | ~ isFinite0(sK1) ),
    inference(resolution,[],[f33,f31]) ).

fof(f31,plain,
    ! [X0] :
      ( ~ isCountable0(X0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f17]) ).

fof(f17,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ~ isCountable0(X0)
      | ~ isFinite0(X0) ),
    inference(flattening,[],[f16]) ).

fof(f16,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => ~ isFinite0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).

fof(f33,plain,
    isCountable0(sK1),
    inference(cnf_transformation,[],[f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : NUM531+2 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 06:58:52 EDT 2022
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  % (25547)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.21/0.51  % (25553)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.51  % (25553)Instruction limit reached!
% 0.21/0.51  % (25553)------------------------------
% 0.21/0.51  % (25553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (25553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (25553)Termination reason: Unknown
% 0.21/0.51  % (25553)Termination phase: Saturation
% 0.21/0.51  
% 0.21/0.51  % (25553)Memory used [KB]: 5884
% 0.21/0.51  % (25553)Time elapsed: 0.086 s
% 0.21/0.51  % (25553)Instructions burned: 2 (million)
% 0.21/0.51  % (25553)------------------------------
% 0.21/0.51  % (25553)------------------------------
% 0.21/0.51  % (25547)First to succeed.
% 0.21/0.51  % (25547)Refutation found. Thanks to Tanya!
% 0.21/0.51  % SZS status Theorem for theBenchmark
% 0.21/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.51  % (25547)------------------------------
% 0.21/0.51  % (25547)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.51  % (25547)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.51  % (25547)Termination reason: Refutation
% 0.21/0.51  
% 0.21/0.51  % (25547)Memory used [KB]: 1407
% 0.21/0.51  % (25547)Time elapsed: 0.085 s
% 0.21/0.51  % (25547)Instructions burned: 2 (million)
% 0.21/0.51  % (25547)------------------------------
% 0.21/0.51  % (25547)------------------------------
% 0.21/0.51  % (25534)Success in time 0.153 s
%------------------------------------------------------------------------------