%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 15:05:32 EDT 2024

% Result   : Unsatisfiable 0.22s 0.40s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   12 (   4 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f182,plain,
    $false,
    inference(subsumption_resolution,[],[f178,f129]) ).

fof(f129,axiom,
    x != y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_3) ).

fof(f178,plain,
    x = y,
    inference(resolution,[],[f125,f172]) ).

fof(f172,plain,
    member(y,singleton(x)),
    inference(subsumption_resolution,[],[f171,f128]) ).

fof(f128,axiom,
    member(y,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_2) ).

fof(f171,plain,
    ( member(y,singleton(x))
    | ~ member(y,universal_class) ),
    inference(superposition,[],[f122,f127]) ).

fof(f127,axiom,
    singleton(x) = singleton(y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_identified_by_element2_1) ).

fof(f122,axiom,
    ! [X0] :
      ( member(X0,singleton(X0))
      | ~ member(X0,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',set_in_its_singleton) ).

fof(f125,axiom,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',only_member_in_singleton) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SET084-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 01:24:25 EDT 2024
% 0.14/0.37  % CPUTime    : 
% 0.14/0.37  % (12915)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.39  % (12919)WARNING: value z3 for option sas not known
% 0.22/0.39  % (12917)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.39  % (12920)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39  % (12921)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)
% 0.22/0.39  % (12919)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)
% 0.22/0.39  % (12918)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39  % (12923)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)
% 0.22/0.39  % (12922)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)
% 0.22/0.40  % (12919)First to succeed.
% 0.22/0.40  % (12922)Also succeeded, but the first one will report.
% 0.22/0.40  % (12919)Refutation found. Thanks to Tanya!
% 0.22/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.40  % (12919)------------------------------
% 0.22/0.40  % (12919)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.40  % (12919)Termination reason: Refutation
% 0.22/0.40  
% 0.22/0.40  % (12919)Memory used [KB]: 955
% 0.22/0.40  % (12919)Time elapsed: 0.009 s
% 0.22/0.40  % (12919)Instructions burned: 9 (million)
% 0.22/0.40  % (12919)------------------------------
% 0.22/0.40  % (12919)------------------------------
% 0.22/0.40  % (12915)Success in time 0.028 s
%------------------------------------------------------------------------------