%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET004-1 : 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 : n008.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 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   6 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   5   |;   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    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f30,plain,
    $false,
    inference(subsumption_resolution,[],[f28,f19]) ).

fof(f19,plain,
    ~ member(member_of_1_not_of_2(a,aUb),aUb),
    inference(resolution,[],[f14,f3]) ).

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

fof(f14,axiom,
    ~ subset(a,aUb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_is_a_subset_of_aUb) ).

fof(f28,plain,
    member(member_of_1_not_of_2(a,aUb),aUb),
    inference(unit_resulting_resolution,[],[f16,f22]) ).

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

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

fof(f13,axiom,
    union(a,b,aUb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_union_b_is_aUb) ).

fof(f16,plain,
    member(member_of_1_not_of_2(a,aUb),a),
    inference(unit_resulting_resolution,[],[f14,f2]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : SET004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n008.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 12:53:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.21/0.50  % (23867)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.21/0.50  % (23859)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.21/0.50  % (23867)First to succeed.
% 0.21/0.50  % (23859)Also succeeded, but the first one will report.
% 0.21/0.50  % (23867)Refutation found. Thanks to Tanya!
% 0.21/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.50  % (23867)------------------------------
% 0.21/0.50  % (23867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.50  % (23867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.50  % (23867)Termination reason: Refutation
% 0.21/0.50  
% 0.21/0.50  % (23867)Memory used [KB]: 5884
% 0.21/0.50  % (23867)Time elapsed: 0.063 s
% 0.21/0.50  % (23867)Instructions burned: 2 (million)
% 0.21/0.50  % (23867)------------------------------
% 0.21/0.50  % (23867)------------------------------
% 0.21/0.50  % (23844)Success in time 0.156 s
%------------------------------------------------------------------------------