%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM602+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 : n020.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 18:01:09 EDT 2022

% Result   : Theorem 1.27s 0.53s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   5 unt;   0 def)
%            Number of atoms       :   33 (   8 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  15   ~;   8   |;   6   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   14 (  10   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f561,plain,
    $false,
    inference(subsumption_resolution,[],[f560,f334]) ).

fof(f334,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f98]) ).

fof(f98,axiom,
    aElementOf0(xx,xO),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5009) ).

fof(f560,plain,
    ~ aElementOf0(xx,xO),
    inference(resolution,[],[f559,f353]) ).

fof(f353,plain,
    ! [X0] :
      ( aElementOf0(sK13(X0),szNzAzT0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f244]) ).

fof(f244,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xO)
      | ? [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4982) ).

fof(f559,plain,
    ~ aElementOf0(sK13(xx),szNzAzT0),
    inference(subsumption_resolution,[],[f558,f334]) ).

fof(f558,plain,
    ( ~ aElementOf0(xx,xO)
    | ~ aElementOf0(sK13(xx),szNzAzT0) ),
    inference(resolution,[],[f484,f448]) ).

fof(f448,plain,
    ! [X0] :
      ( ~ sQ25_eqProxy(sdtlpdtrp0(xe,X0),xx)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(equality_proxy_replacement,[],[f261,f441]) ).

fof(f441,plain,
    ! [X0,X1] :
      ( sQ25_eqProxy(X0,X1)
    <=> X0 = X1 ),
    introduced(equality_proxy_definition,[new_symbols(naming,[sQ25_eqProxy])]) ).

fof(f261,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sdtlpdtrp0(xe,X0) != xx ),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f100,negated_conjecture,
    ~ ? [X0] :
        ( aElementOf0(X0,szNzAzT0)
        & sdtlpdtrp0(xe,X0) = xx ),
    inference(negated_conjecture,[],[f99]) ).

fof(f99,conjecture,
    ? [X0] :
      ( aElementOf0(X0,szNzAzT0)
      & sdtlpdtrp0(xe,X0) = xx ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f484,plain,
    ! [X0] :
      ( sQ25_eqProxy(sdtlpdtrp0(xe,sK13(X0)),X0)
      | ~ aElementOf0(X0,xO) ),
    inference(equality_proxy_replacement,[],[f354,f441]) ).

fof(f354,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK13(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f244]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : NUM602+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % 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 : n020.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 07:18:45 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (12909)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)
% 0.20/0.50  % (12917)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)
% 0.20/0.51  % (12917)Instruction limit reached!
% 0.20/0.51  % (12917)------------------------------
% 0.20/0.51  % (12917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (12928)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)
% 0.20/0.51  % (12918)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (12920)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (12909)Instruction limit reached!
% 0.20/0.51  % (12909)------------------------------
% 0.20/0.51  % (12909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (12925)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.52  % (12917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (12917)Termination reason: Unknown
% 0.20/0.52  % (12917)Termination phase: Saturation
% 0.20/0.52  
% 0.20/0.52  % (12917)Memory used [KB]: 1918
% 0.20/0.52  % (12917)Time elapsed: 0.100 s
% 0.20/0.52  % (12917)Instructions burned: 16 (million)
% 0.20/0.52  % (12917)------------------------------
% 0.20/0.52  % (12917)------------------------------
% 1.27/0.52  % (12909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.52  % (12909)Termination reason: Unknown
% 1.27/0.52  % (12909)Termination phase: Saturation
% 1.27/0.52  
% 1.27/0.52  % (12909)Memory used [KB]: 6268
% 1.27/0.52  % (12909)Time elapsed: 0.008 s
% 1.27/0.52  % (12909)Instructions burned: 14 (million)
% 1.27/0.52  % (12909)------------------------------
% 1.27/0.52  % (12909)------------------------------
% 1.27/0.52  % (12911)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.27/0.52  % (12925)First to succeed.
% 1.27/0.53  % (12925)Refutation found. Thanks to Tanya!
% 1.27/0.53  % SZS status Theorem for theBenchmark
% 1.27/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.27/0.53  % (12925)------------------------------
% 1.27/0.53  % (12925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.27/0.53  % (12925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.27/0.53  % (12925)Termination reason: Refutation
% 1.27/0.53  
% 1.27/0.53  % (12925)Memory used [KB]: 6268
% 1.27/0.53  % (12925)Time elapsed: 0.125 s
% 1.27/0.53  % (12925)Instructions burned: 12 (million)
% 1.27/0.53  % (12925)------------------------------
% 1.27/0.53  % (12925)------------------------------
% 1.27/0.53  % (12904)Success in time 0.173 s
%------------------------------------------------------------------------------