%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SET094-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n026.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 May 21 03:16:03 EDT 2024

% Result   : Unsatisfiable 0.23s 0.41s
% Output   : Refutation 0.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   17 (  11 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   6   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f321,plain,
    $false,
    inference(trivial_inequality_removal,[],[f320]) ).

fof(f320,plain,
    y != y,
    inference(superposition,[],[f94,f302]) ).

fof(f302,plain,
    member_of(x) = y,
    inference(resolution,[],[f294,f93]) ).

fof(f93,axiom,
    member(y,x),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_2) ).

fof(f294,plain,
    ! [X0] :
      ( ~ member(X0,x)
      | member_of(x) = X0 ),
    inference(superposition,[],[f286,f92]) ).

fof(f92,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_1) ).

fof(f286,plain,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1 ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ! [X0,X1] :
      ( ~ member(X1,singleton(X0))
      | X0 = X1
      | X0 = X1 ),
    inference(superposition,[],[f8,f12]) ).

fof(f12,axiom,
    ! [X0] : unordered_pair(X0,X0) = singleton(X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).

fof(f8,axiom,
    ! [X2,X0,X1] :
      ( ~ member(X2,unordered_pair(X0,X1))
      | X0 = X2
      | X1 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).

fof(f94,axiom,
    member_of(x) != y,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_property_of_singletons1_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SET094-6 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.08/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37  % Computer : n026.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Mon May 20 11:58:53 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.38  % (6034)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39  % (6038)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39  % (6039)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)
% 0.16/0.40  % (6037)WARNING: value z3 for option sas not known
% 0.16/0.40  % (6040)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)
% 0.16/0.40  % (6036)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.40  % (6037)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)
% 0.16/0.40  % (6041)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)
% 0.23/0.41  % (6040)First to succeed.
% 0.23/0.41  % (6040)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6034"
% 0.23/0.41  % (6040)Refutation found. Thanks to Tanya!
% 0.23/0.41  % SZS status Unsatisfiable for theBenchmark
% 0.23/0.41  % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.41  % (6040)------------------------------
% 0.23/0.41  % (6040)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.41  % (6040)Termination reason: Refutation
% 0.23/0.41  
% 0.23/0.41  % (6040)Memory used [KB]: 1067
% 0.23/0.41  % (6040)Time elapsed: 0.017 s
% 0.23/0.41  % (6040)Instructions burned: 22 (million)
% 0.23/0.41  % (6034)Success in time 0.036 s
%------------------------------------------------------------------------------