%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET006-1 : 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 : n009.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 0.19s 0.50s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            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 :   10 (   5   ~;   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    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   10 (  10   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,plain,
    $false,
    inference(subsumption_resolution,[],[f38,f14]) ).

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

fof(f38,plain,
    subset(d,a),
    inference(resolution,[],[f24,f3]) ).

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

fof(f24,plain,
    member(member_of_1_not_of_2(d,a),a),
    inference(resolution,[],[f21,f13]) ).

fof(f13,axiom,
    intersection(d,a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_intersection_a_is_d) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ intersection(X1,X0,d)
      | member(member_of_1_not_of_2(d,a),X0) ),
    inference(resolution,[],[f8,f15]) ).

fof(f15,plain,
    member(member_of_1_not_of_2(d,a),d),
    inference(resolution,[],[f2,f14]) ).

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) ).

fof(f8,axiom,
    ! [X3,X0,X4,X5] :
      ( ~ member(X0,X5)
      | member(X0,X4)
      | ~ intersection(X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_intersection_is_member_of_set2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SET006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 30 12:47:50 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (10343)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.50  % (10369)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.50  % (10351)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.50  % (10351)First to succeed.
% 0.19/0.50  % (10351)Refutation found. Thanks to Tanya!
% 0.19/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50  % (10351)------------------------------
% 0.19/0.50  % (10351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (10351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (10351)Termination reason: Refutation
% 0.19/0.50  
% 0.19/0.50  % (10351)Memory used [KB]: 5884
% 0.19/0.50  % (10351)Time elapsed: 0.102 s
% 0.19/0.50  % (10351)Instructions burned: 2 (million)
% 0.19/0.50  % (10351)------------------------------
% 0.19/0.50  % (10351)------------------------------
% 0.19/0.50  % (10339)Success in time 0.155 s
%------------------------------------------------------------------------------