%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SET093-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n001.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 18:23:39 EDT 2022

% Result   : Unsatisfiable 0.19s 0.48s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   3 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    1 (   1   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 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   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f218,plain,
    $false,
    inference(subsumption_resolution,[],[f217,f138]) ).

fof(f138,axiom,
    ~ member(x,universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_2) ).

fof(f217,plain,
    member(x,universal_class),
    inference(superposition,[],[f197,f181]) ).

fof(f181,plain,
    x = unordered_pair(member_of(x),member_of(x)),
    inference(definition_unfolding,[],[f137,f12]) ).

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

fof(f137,axiom,
    x = singleton(member_of(x)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_2_to_singletons_are_sets_1) ).

fof(f197,plain,
    ! [X0] : member(unordered_pair(X0,X0),universal_class),
    inference(definition_unfolding,[],[f120,f12]) ).

fof(f120,axiom,
    ! [X0] : member(singleton(X0),universal_class),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SET093-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.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 13:36:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (22762)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.48  % (22744)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.48  % (22744)First to succeed.
% 0.19/0.48  % (22744)Refutation found. Thanks to Tanya!
% 0.19/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48  % (22744)------------------------------
% 0.19/0.48  % (22744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48  % (22744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48  % (22744)Termination reason: Refutation
% 0.19/0.48  
% 0.19/0.48  % (22744)Memory used [KB]: 1151
% 0.19/0.48  % (22744)Time elapsed: 0.063 s
% 0.19/0.48  % (22744)Instructions burned: 11 (million)
% 0.19/0.48  % (22744)------------------------------
% 0.19/0.48  % (22744)------------------------------
% 0.19/0.48  % (22741)Success in time 0.135 s
%------------------------------------------------------------------------------