%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV030-2 : TPTP v8.1.0. Released v2.5.0.
% 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 : n002.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 16:58:19 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  13 unt;   0 def)
%            Number of atoms       :   17 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   3   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    1 (   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f328,plain,
    $false,
    inference(subsumption_resolution,[],[f327,f136]) ).

fof(f136,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

fof(f327,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    inference(superposition,[],[f144,f309]) ).

fof(f309,plain,
    n0 = sF1,
    inference(superposition,[],[f308,f143]) ).

fof(f143,plain,
    fwork_DOTfifo_DOTrtl_DOTwr__level_(sF0) = sF1,
    introduced(function_definition,[]) ).

fof(f308,plain,
    n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(sF0),
    inference(forward_demodulation,[],[f307,f142]) ).

fof(f142,plain,
    f_ADD_(t_206,n1) = sF0,
    introduced(function_definition,[]) ).

fof(f307,plain,
    n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)),
    inference(subsumption_resolution,[],[f306,f146]) ).

fof(f146,plain,
    p__pred_(sF2),
    inference(definition_folding,[],[f134,f145]) ).

fof(f145,plain,
    fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF2,
    introduced(function_definition,[]) ).

fof(f134,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f306,plain,
    ( ~ p__pred_(sF2)
    | n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1)) ),
    inference(superposition,[],[f10,f145]) ).

fof(f10,axiom,
    ! [X6] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X6))
      | n0 = fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(X6,n1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

fof(f144,plain,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF1),
    inference(definition_folding,[],[f135,f143,f142]) ).

fof(f135,axiom,
    p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTwr__level_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : HWV030-2 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13  % 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 : n002.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 23:10:28 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (29719)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (29743)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.52  % (29743)First to succeed.
% 0.20/0.52  % (29743)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  % (29743)------------------------------
% 0.20/0.52  % (29743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29743)Termination reason: Refutation
% 0.20/0.52  
% 0.20/0.52  % (29743)Memory used [KB]: 5628
% 0.20/0.52  % (29743)Time elapsed: 0.070 s
% 0.20/0.52  % (29743)Instructions burned: 13 (million)
% 0.20/0.52  % (29743)------------------------------
% 0.20/0.52  % (29743)------------------------------
% 0.20/0.52  % (29717)Success in time 0.165 s
%------------------------------------------------------------------------------