%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP023-2 : 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 16:19:08 EDT 2022

% Result   : Unsatisfiable 1.34s 0.57s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (   8 unt;   3 typ;   0 def)
%            Number of atoms       :    8 (   7 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :    4 (   4   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_2,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_3,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_4,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f46,plain,
    $false,
    inference(subsumption_resolution,[],[f45,f7]) ).

fof(f7,plain,
    identity != inverse(identity),
    inference(literal_reordering,[],[f6]) ).

fof(f6,axiom,
    identity != inverse(identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_of_id_is_id) ).

fof(f45,plain,
    identity = inverse(identity),
    inference(superposition,[],[f10,f9]) ).

fof(f9,plain,
    ! [X0] : identity = multiply(inverse(X0),X0),
    inference(literal_reordering,[],[f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).

fof(f10,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(literal_reordering,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : multiply(X0,identity) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem    : GRP023-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33  % Computer : n007.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 21:53:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (8469)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.54  % (8485)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.55  % (8477)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55  TRYING [1]
% 0.19/0.55  TRYING [2]
% 0.19/0.55  TRYING [3]
% 0.19/0.55  TRYING [4]
% 0.19/0.55  % (8470)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.56  % (8477)First to succeed.
% 0.19/0.56  TRYING [5]
% 1.34/0.57  % (8477)Refutation found. Thanks to Tanya!
% 1.34/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.34/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.57  % (8477)------------------------------
% 1.34/0.57  % (8477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.57  % (8477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.57  % (8477)Termination reason: Refutation
% 1.34/0.57  
% 1.34/0.57  % (8477)Memory used [KB]: 5628
% 1.34/0.57  % (8477)Time elapsed: 0.007 s
% 1.34/0.57  % (8477)Instructions burned: 3 (million)
% 1.34/0.57  % (8477)------------------------------
% 1.34/0.57  % (8477)------------------------------
% 1.34/0.57  % (8462)Success in time 0.22 s
%------------------------------------------------------------------------------