%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP005-1 : 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_sat --cores 0 -t %d %s

% Computer : n007.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 16:18:54 EDT 2022

% Result   : Unsatisfiable 0.19s 0.49s
% Output   : Refutation 0.19s
% 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 :   14 (   8   ~;   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   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f20,plain,
    $false,
    inference(resolution,[],[f15,f5]) ).

fof(f5,axiom,
    an_element(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).

fof(f15,plain,
    ! [X1] : ~ an_element(X1),
    inference(subsumption_resolution,[],[f13,f9]) ).

fof(f9,axiom,
    ~ an_element(identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_an_element) ).

fof(f13,plain,
    ! [X1] :
      ( an_element(identity)
      | ~ an_element(X1) ),
    inference(duplicate_literal_removal,[],[f11]) ).

fof(f11,plain,
    ! [X1] :
      ( an_element(identity)
      | ~ an_element(X1)
      | ~ an_element(X1) ),
    inference(resolution,[],[f6,f3]) ).

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

fof(f6,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP005-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.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   : Mon Aug 29 21:52:00 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  % (2421)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/51Mi)
% 0.19/0.49  % (2419)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.49  % (2421)First to succeed.
% 0.19/0.49  % (2421)Refutation found. Thanks to Tanya!
% 0.19/0.49  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.49  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.49  % (2421)------------------------------
% 0.19/0.49  % (2421)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49  % (2421)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49  % (2421)Termination reason: Refutation
% 0.19/0.49  
% 0.19/0.49  % (2421)Memory used [KB]: 5373
% 0.19/0.49  % (2421)Time elapsed: 0.100 s
% 0.19/0.49  % (2421)Instructions burned: 1 (million)
% 0.19/0.49  % (2421)------------------------------
% 0.19/0.49  % (2421)------------------------------
% 0.19/0.49  % (2414)Success in time 0.142 s
%------------------------------------------------------------------------------