%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 : Sun May  5 05:44:24 EDT 2024

% Result   : Unsatisfiable 0.50s 0.70s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   14 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   16 (  10   ~;   6   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(resolution,[],[f18,f10]) ).

fof(f10,axiom,
    subgroup_member(a),
    file('/export/starexec/sandbox2/tmp/tmp.sGZGvTrRtt/Vampire---4.8_31930',a_is_in_subgroup) ).

fof(f18,plain,
    ! [X0] : ~ subgroup_member(X0),
    inference(subsumption_resolution,[],[f17,f4]) ).

fof(f4,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox2/tmp/tmp.sGZGvTrRtt/Vampire---4.8_31930',right_inverse) ).

fof(f17,plain,
    ! [X0] :
      ( ~ subgroup_member(X0)
      | ~ product(X0,inverse(X0),identity) ),
    inference(factoring,[],[f12]) ).

fof(f12,plain,
    ! [X0,X1] :
      ( ~ subgroup_member(X1)
      | ~ subgroup_member(X0)
      | ~ product(X0,inverse(X1),identity) ),
    inference(resolution,[],[f11,f9]) ).

fof(f9,axiom,
    ! [X8,X6,X7] :
      ( subgroup_member(X8)
      | ~ product(X6,inverse(X7),X8)
      | ~ subgroup_member(X7)
      | ~ subgroup_member(X6) ),
    file('/export/starexec/sandbox2/tmp/tmp.sGZGvTrRtt/Vampire---4.8_31930',closure_of_product_and_inverse) ).

fof(f11,axiom,
    ~ subgroup_member(identity),
    file('/export/starexec/sandbox2/tmp/tmp.sGZGvTrRtt/Vampire---4.8_31930',prove_identity_is_in_subgroup) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.34  % Computer : n006.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   : Fri May  3 20:47:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_SEQ_HRN problem
% 0.19/0.34  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sGZGvTrRtt/Vampire---4.8_31930
% 0.50/0.69  % (32045)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.50/0.70  % (32045)First to succeed.
% 0.50/0.70  % (32045)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32037"
% 0.50/0.70  % (32045)Refutation found. Thanks to Tanya!
% 0.50/0.70  % SZS status Unsatisfiable for Vampire---4
% 0.50/0.70  % SZS output start Proof for Vampire---4
% See solution above
% 0.50/0.70  % (32045)------------------------------
% 0.50/0.70  % (32045)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.50/0.70  % (32045)Termination reason: Refutation
% 0.50/0.70  
% 0.50/0.70  % (32045)Memory used [KB]: 990
% 0.50/0.70  % (32045)Time elapsed: 0.001 s
% 0.50/0.70  % (32045)Instructions burned: 2 (million)
% 0.50/0.70  % (32037)Success in time 0.346 s
% 0.50/0.70  % Vampire---4.8 exiting
%------------------------------------------------------------------------------