%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP006-1 : 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 : n012.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 16:13:41 EDT 2022

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    8 (   7 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    7 (   4   ~;   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    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,plain,
    $false,
    inference(subsumption_resolution,[],[f12,f9]) ).

fof(f9,axiom,
    ~ an_element(inverse(the_element)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).

fof(f12,plain,
    an_element(inverse(the_element)),
    inference(unit_resulting_resolution,[],[f8,f1,f11,f5]) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ product(X0,inverse(X1),X2)
      | ~ an_element(X1)
      | an_element(X2)
      | ~ an_element(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).

fof(f11,plain,
    an_element(identity),
    inference(unit_resulting_resolution,[],[f8,f3,f8,f5]) ).

fof(f3,axiom,
    ! [X0] : product(X0,inverse(X0),identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).

fof(f1,axiom,
    ! [X0] : product(identity,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f8,axiom,
    an_element(the_element),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : GRP006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:06:06 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.20/0.47  % (21743)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.47  % (21743)Refutation not found, incomplete strategy% (21743)------------------------------
% 0.20/0.47  % (21743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.47  % (21743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.47  % (21743)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.47  
% 0.20/0.47  % (21743)Memory used [KB]: 5756
% 0.20/0.47  % (21743)Time elapsed: 0.081 s
% 0.20/0.47  % (21743)Instructions burned: 1 (million)
% 0.20/0.47  % (21743)------------------------------
% 0.20/0.47  % (21743)------------------------------
% 0.20/0.48  % (21759)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)
% 0.20/0.48  % (21759)First to succeed.
% 0.20/0.48  % (21759)Refutation found. Thanks to Tanya!
% 0.20/0.48  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48  % (21759)------------------------------
% 0.20/0.48  % (21759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.48  % (21759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.48  % (21759)Termination reason: Refutation
% 0.20/0.48  
% 0.20/0.48  % (21759)Memory used [KB]: 5756
% 0.20/0.48  % (21759)Time elapsed: 0.084 s
% 0.20/0.48  % (21759)Instructions burned: 2 (million)
% 0.20/0.48  % (21759)------------------------------
% 0.20/0.48  % (21759)------------------------------
% 0.20/0.48  % (21731)Success in time 0.138 s
%------------------------------------------------------------------------------