%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP038-3 : 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 : n013.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 16:13:47 EDT 2022

% Result   : Unsatisfiable 0.21s 0.49s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :   10 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    8 (   5   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f45,plain,
    $false,
    inference(subsumption_resolution,[],[f31,f14]) ).

fof(f14,axiom,
    product(a,inverse(b),c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_inverse_b_is_c) ).

fof(f31,plain,
    ~ product(a,inverse(b),c),
    inference(unit_resulting_resolution,[],[f15,f12,f13,f9]) ).

fof(f9,axiom,
    ! [X8,X6,X7] :
      ( ~ product(X6,inverse(X7),X8)
      | subgroup_member(X8)
      | ~ subgroup_member(X6)
      | ~ subgroup_member(X7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).

fof(f13,axiom,
    subgroup_member(b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).

fof(f12,axiom,
    subgroup_member(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).

fof(f15,axiom,
    ~ subgroup_member(c),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : GRP038-3 : TPTP v8.1.0. Released v1.0.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n013.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Aug 29 22:05:47 EDT 2022
% 0.21/0.35  % CPUTime    : 
% 0.21/0.48  % (8419)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)
% 0.21/0.49  % (8419)First to succeed.
% 0.21/0.49  % (8419)Refutation found. Thanks to Tanya!
% 0.21/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49  % (8419)------------------------------
% 0.21/0.49  % (8419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.49  % (8419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.49  % (8419)Termination reason: Refutation
% 0.21/0.49  
% 0.21/0.49  % (8419)Memory used [KB]: 5756
% 0.21/0.49  % (8419)Time elapsed: 0.055 s
% 0.21/0.49  % (8419)Instructions burned: 2 (million)
% 0.21/0.49  % (8419)------------------------------
% 0.21/0.49  % (8419)------------------------------
% 0.21/0.49  % (8396)Success in time 0.131 s
%------------------------------------------------------------------------------