%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET003-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : 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 : Wed Aug 31 18:18:17 EDT 2022

% Result   : Unsatisfiable 0.18s 0.48s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   4 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   5   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f31,plain,
    $false,
    inference(subsumption_resolution,[],[f30,f14]) ).

fof(f14,axiom,
    ~ subset(a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUa) ).

fof(f30,plain,
    subset(a,aUa),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,plain,
    ( subset(a,aUa)
    | subset(a,aUa) ),
    inference(resolution,[],[f23,f3]) ).

fof(f3,axiom,
    ! [X2,X1] :
      ( ~ member(member_of_1_not_of_2(X1,X2),X2)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom2) ).

fof(f23,plain,
    ! [X0] :
      ( member(member_of_1_not_of_2(a,X0),aUa)
      | subset(a,X0) ),
    inference(resolution,[],[f22,f2]) ).

fof(f2,axiom,
    ! [X2,X1] :
      ( member(member_of_1_not_of_2(X1,X2),X1)
      | subset(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subsets_axiom1) ).

fof(f22,plain,
    ! [X0] :
      ( ~ member(X0,a)
      | member(X0,aUa) ),
    inference(resolution,[],[f8,f13]) ).

fof(f13,axiom,
    union(a,a,aUa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_union_a_is_aUa) ).

fof(f8,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ union(X3,X4,X5)
      | member(X0,X5)
      | ~ member(X0,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',member_of_set1_is_member_of_union) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33  % Computer : n021.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Tue Aug 30 12:46:41 EDT 2022
% 0.13/0.33  % CPUTime    : 
% 0.18/0.47  % (7962)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.48  % (7985)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.48  % (7962)First to succeed.
% 0.18/0.48  % (7962)Refutation found. Thanks to Tanya!
% 0.18/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.48  % (7962)------------------------------
% 0.18/0.48  % (7962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.48  % (7962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.48  % (7962)Termination reason: Refutation
% 0.18/0.48  
% 0.18/0.48  % (7962)Memory used [KB]: 5884
% 0.18/0.48  % (7962)Time elapsed: 0.081 s
% 0.18/0.48  % (7962)Instructions burned: 2 (million)
% 0.18/0.48  % (7962)------------------------------
% 0.18/0.48  % (7962)------------------------------
% 0.18/0.48  % (7961)Success in time 0.139 s
%------------------------------------------------------------------------------