%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 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 : n017.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 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   20 (   8 unt;   0 def)
%            Number of atoms       :   36 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   36 (  20   ~;  14   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   3 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f135,plain,
    $false,
    inference(avatar_sat_refutation,[],[f113,f120,f132]) ).

fof(f132,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f131]) ).

fof(f131,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[],[f130,f92]) ).

fof(f92,plain,
    ( subgroup_member(identity)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_1
  <=> subgroup_member(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f130,plain,
    ~ subgroup_member(identity),
    inference(subsumption_resolution,[],[f123,f11]) ).

fof(f11,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).

fof(f123,plain,
    ( ~ product(identity,j(identity),j(identity))
    | ~ subgroup_member(identity) ),
    inference(resolution,[],[f22,f12]) ).

fof(f12,axiom,
    ! [X0] : product(X0,identity,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).

fof(f22,axiom,
    ! [X4] :
      ( ~ product(j(X4),X4,j(X4))
      | ~ product(X4,j(X4),j(X4))
      | ~ subgroup_member(X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subgr2) ).

fof(f120,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f118]) ).

fof(f118,plain,
    ( $false
    | ~ spl0_6 ),
    inference(resolution,[],[f112,f20]) ).

fof(f20,axiom,
    subgroup_member(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).

fof(f112,plain,
    ( ! [X12] : ~ subgroup_member(X12)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_6
  <=> ! [X12] : ~ subgroup_member(X12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f113,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f89,f111,f91]) ).

fof(f89,plain,
    ! [X12] :
      ( ~ subgroup_member(X12)
      | subgroup_member(identity) ),
    inference(duplicate_literal_removal,[],[f88]) ).

fof(f88,plain,
    ! [X12] :
      ( subgroup_member(identity)
      | ~ subgroup_member(X12)
      | ~ subgroup_member(X12) ),
    inference(resolution,[],[f19,f14]) ).

fof(f14,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).

fof(f19,axiom,
    ! [X8,X4,X5] :
      ( ~ product(X4,inverse(X5),X8)
      | ~ subgroup_member(X4)
      | subgroup_member(X8)
      | ~ subgroup_member(X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP033-3 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.12/0.13  % 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 : n017.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   : Mon Aug 29 21:33:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.50  % (6891)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.20/0.50  % (6909)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)
% 0.20/0.50  % (6910)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)
% 0.20/0.51  % (6901)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)
% 0.20/0.51  % (6887)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.51  % (6893)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.52  % (6887)First to succeed.
% 0.20/0.52  % (6901)Also succeeded, but the first one will report.
% 0.20/0.52  % (6887)Refutation found. Thanks to Tanya!
% 0.20/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52  % (6887)------------------------------
% 0.20/0.52  % (6887)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (6887)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (6887)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (6887)Memory used [KB]: 5884
% 0.20/0.52  % (6887)Time elapsed: 0.085 s
% 0.20/0.52  % (6887)Instructions burned: 6 (million)
% 0.20/0.52  % (6887)------------------------------
% 0.20/0.52  % (6887)------------------------------
% 0.20/0.52  % (6886)Success in time 0.172 s
%------------------------------------------------------------------------------