%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n029.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 : Tue Apr 30 14:12:41 EDT 2024

% Result   : Unsatisfiable 0.20s 0.41s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   15 (   8   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f775,plain,
    $false,
    inference(resolution,[],[f774,f61]) ).

fof(f61,axiom,
    member(empty_set,infinity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',infinity2) ).

fof(f774,plain,
    ! [X0] : ~ member(empty_set,X0),
    inference(resolution,[],[f773,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( little_set(X0)
      | ~ member(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).

fof(f773,plain,
    ~ little_set(empty_set),
    inference(resolution,[],[f772,f220]) ).

fof(f220,axiom,
    ~ member(empty_set,natural_numbers),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).

fof(f772,plain,
    ( member(empty_set,natural_numbers)
    | ~ little_set(empty_set) ),
    inference(duplicate_literal_removal,[],[f771]) ).

fof(f771,plain,
    ( member(empty_set,natural_numbers)
    | ~ little_set(empty_set)
    | member(empty_set,natural_numbers) ),
    inference(resolution,[],[f169,f171]) ).

fof(f171,axiom,
    ! [X3] :
      ( ~ member(X3,f44(X3))
      | member(X3,natural_numbers) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',natural_numbers6) ).

fof(f169,axiom,
    ! [X3] :
      ( member(empty_set,f44(X3))
      | member(X3,natural_numbers)
      | ~ little_set(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',natural_numbers4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : NUM009-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.08/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n029.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 Apr 30 00:16:50 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (12757)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (12769)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.38  % (12767)WARNING: value z3 for option sas not known
% 0.14/0.38  % (12765)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38  % (12766)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38  % (12767)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (12768)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38  % (12770)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.38  % (12771)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.41  % (12770)First to succeed.
% 0.20/0.41  % (12770)Refutation found. Thanks to Tanya!
% 0.20/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (12770)------------------------------
% 0.20/0.41  % (12770)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41  % (12770)Termination reason: Refutation
% 0.20/0.41  
% 0.20/0.41  % (12770)Memory used [KB]: 1587
% 0.20/0.41  % (12770)Time elapsed: 0.034 s
% 0.20/0.41  % (12770)Instructions burned: 53 (million)
% 0.20/0.41  % (12770)------------------------------
% 0.20/0.41  % (12770)------------------------------
% 0.20/0.41  % (12757)Success in time 0.057 s
%------------------------------------------------------------------------------