TSTP Solution File: HWV016-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV016-2 : 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 16:58:14 EDT 2022

% Result   : Unsatisfiable 1.39s 0.59s
% Output   : Refutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   87 (  16 unt;   0 def)
%            Number of atoms       :  246 (  48 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  234 (  75   ~; 155   |;   0   &)
%                                         (   4 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    8 (   6 usr;   5 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1223,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1048,f1075,f1111,f1163,f1195,f1203]) ).

fof(f1203,plain,
    ( ~ spl5_4
    | spl5_52 ),
    inference(avatar_contradiction_clause,[],[f1202]) ).

fof(f1202,plain,
    ( $false
    | ~ spl5_4
    | spl5_52 ),
    inference(subsumption_resolution,[],[f1201,f74]) ).

fof(f74,axiom,
    ! [X48] : p_LES_EQU_(X48,X48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(f1201,plain,
    ( ~ p_LES_EQU_(n0,n0)
    | ~ spl5_4
    | spl5_52 ),
    inference(forward_demodulation,[],[f1079,f203]) ).

fof(f203,plain,
    ( n0 = sF0
    | ~ spl5_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f202,plain,
    ( spl5_4
  <=> n0 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).

fof(f1079,plain,
    ( ~ p_LES_EQU_(sF0,n0)
    | spl5_52 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1077,plain,
    ( spl5_52
  <=> p_LES_EQU_(sF0,n0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).

fof(f1195,plain,
    ( spl5_17
    | ~ spl5_4 ),
    inference(avatar_split_clause,[],[f1194,f202,f436]) ).

fof(f436,plain,
    ( spl5_17
  <=> p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).

fof(f1194,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f1193,f153]) ).

fof(f153,plain,
    ~ p__pred_(sF4),
    inference(definition_folding,[],[f135,f152]) ).

fof(f152,plain,
    fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF4,
    introduced(function_definition,[]) ).

fof(f135,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f1193,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(sF4)
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f1192,f152]) ).

fof(f1192,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ spl5_4 ),
    inference(subsumption_resolution,[],[f1191,f138]) ).

fof(f138,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

fof(f1191,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_4 ),
    inference(forward_demodulation,[],[f1063,f203]) ).

fof(f1063,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(forward_demodulation,[],[f1062,f145]) ).

fof(f145,plain,
    sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
    introduced(function_definition,[]) ).

fof(f1062,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(subsumption_resolution,[],[f1061,f58]) ).

fof(f58,axiom,
    ! [X27] : n0 != f_ADD_(X27,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).

fof(f1061,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),
    inference(forward_demodulation,[],[f1060,f207]) ).

fof(f207,plain,
    n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2),
    inference(subsumption_resolution,[],[f206,f151]) ).

fof(f151,plain,
    p__pred_(sF3),
    inference(definition_folding,[],[f137,f150,f149]) ).

fof(f149,plain,
    f_ADD_(t_206,n1) = sF2,
    introduced(function_definition,[]) ).

fof(f150,plain,
    fwork_DOTfifo_DOTrtl_DOTempty_(sF2) = sF3,
    introduced(function_definition,[]) ).

fof(f137,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

fof(f206,plain,
    ( ~ p__pred_(sF3)
    | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2) ),
    inference(superposition,[],[f8,f150]) ).

fof(f8,axiom,
    ! [X5] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X5))
      | n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

fof(f1060,plain,
    ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(forward_demodulation,[],[f1059,f149]) ).

fof(f1059,plain,
    ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(subsumption_resolution,[],[f1034,f148]) ).

fof(f148,plain,
    p__pred_(sF1),
    inference(definition_folding,[],[f136,f147]) ).

fof(f147,plain,
    fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF1,
    introduced(function_definition,[]) ).

fof(f136,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

fof(f1034,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ p__pred_(sF1)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(superposition,[],[f17,f147]) ).

fof(f17,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

fof(f1163,plain,
    ( ~ spl5_17
    | ~ spl5_52 ),
    inference(avatar_split_clause,[],[f1162,f1077,f436]) ).

fof(f1162,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(subsumption_resolution,[],[f1161,f153]) ).

fof(f1161,plain,
    ( p__pred_(sF4)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(forward_demodulation,[],[f1160,f152]) ).

fof(f1160,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(subsumption_resolution,[],[f1159,f58]) ).

fof(f1159,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | n0 = f_ADD_(sF0,n1)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(forward_demodulation,[],[f1158,f207]) ).

fof(f1158,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(sF2) = f_ADD_(sF0,n1)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(forward_demodulation,[],[f1157,f149]) ).

fof(f1157,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(sF0,n1)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_52 ),
    inference(subsumption_resolution,[],[f1156,f148]) ).

fof(f1156,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(sF0,n1)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p__pred_(sF1)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ spl5_52 ),
    inference(forward_demodulation,[],[f1138,f147]) ).

fof(f1138,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(sF0,n1)
    | ~ spl5_52 ),
    inference(subsumption_resolution,[],[f1135,f1078]) ).

fof(f1078,plain,
    ( p_LES_EQU_(sF0,n0)
    | ~ spl5_52 ),
    inference(avatar_component_clause,[],[f1077]) ).

fof(f1135,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = f_ADD_(sF0,n1)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p_LES_EQU_(sF0,n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(superposition,[],[f35,f145]) ).

fof(f35,axiom,
    ! [X10] :
      ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f1111,plain,
    ( spl5_52
    | ~ spl5_17
    | spl5_4 ),
    inference(avatar_split_clause,[],[f1110,f202,f436,f1077]) ).

fof(f1110,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(sF0,n0)
    | spl5_4 ),
    inference(subsumption_resolution,[],[f1109,f204]) ).

fof(f204,plain,
    ( n0 != sF0
    | spl5_4 ),
    inference(avatar_component_clause,[],[f202]) ).

fof(f1109,plain,
    ( p_LES_EQU_(sF0,n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | n0 = sF0 ),
    inference(forward_demodulation,[],[f1108,f207]) ).

fof(f1108,plain,
    ( p_LES_EQU_(sF0,n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2) ),
    inference(forward_demodulation,[],[f1107,f145]) ).

fof(f1107,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2) ),
    inference(forward_demodulation,[],[f1106,f149]) ).

fof(f1106,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = sF0
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(subsumption_resolution,[],[f1105,f153]) ).

fof(f1105,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = sF0
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | p__pred_(sF4) ),
    inference(forward_demodulation,[],[f1104,f152]) ).

fof(f1104,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = sF0
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(forward_demodulation,[],[f1103,f145]) ).

fof(f1103,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
    | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(subsumption_resolution,[],[f970,f148]) ).

fof(f970,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ p__pred_(sF1)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) ),
    inference(superposition,[],[f30,f147]) ).

fof(f30,axiom,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10)
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).

fof(f1075,plain,
    ( spl5_17
    | spl5_4
    | ~ spl5_41 ),
    inference(avatar_split_clause,[],[f1074,f789,f202,f436]) ).

fof(f789,plain,
    ( spl5_41
  <=> p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).

fof(f1074,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | spl5_4
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f1073,f204]) ).

fof(f1073,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | n0 = sF0
    | ~ spl5_41 ),
    inference(forward_demodulation,[],[f1072,f207]) ).

fof(f1072,plain,
    ( sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f1071,f153]) ).

fof(f1071,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2)
    | p__pred_(sF4)
    | ~ spl5_41 ),
    inference(forward_demodulation,[],[f1070,f152]) ).

fof(f1070,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | sF0 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2)
    | ~ spl5_41 ),
    inference(forward_demodulation,[],[f1069,f149]) ).

fof(f1069,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = sF0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | ~ spl5_41 ),
    inference(subsumption_resolution,[],[f867,f791]) ).

fof(f791,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0)
    | ~ spl5_41 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f867,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) = sF0 ),
    inference(superposition,[],[f176,f145]) ).

fof(f176,plain,
    ! [X10] :
      ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10)) ),
    inference(subsumption_resolution,[],[f22,f50]) ).

fof(f50,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

fof(f22,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10))
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

fof(f1048,plain,
    ( spl5_17
    | spl5_41 ),
    inference(avatar_contradiction_clause,[],[f1047]) ).

fof(f1047,plain,
    ( $false
    | spl5_17
    | spl5_41 ),
    inference(subsumption_resolution,[],[f1046,f790]) ).

fof(f790,plain,
    ( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0)
    | spl5_41 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f1046,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,sF0)
    | spl5_17 ),
    inference(forward_demodulation,[],[f1045,f145]) ).

fof(f1045,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | spl5_17 ),
    inference(subsumption_resolution,[],[f1044,f58]) ).

fof(f1044,plain,
    ( n0 = f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | spl5_17 ),
    inference(forward_demodulation,[],[f1043,f207]) ).

fof(f1043,plain,
    ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF2)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | spl5_17 ),
    inference(forward_demodulation,[],[f1042,f149]) ).

fof(f1042,plain,
    ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | spl5_17 ),
    inference(subsumption_resolution,[],[f1041,f153]) ).

fof(f1041,plain,
    ( f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | p__pred_(sF4)
    | spl5_17 ),
    inference(forward_demodulation,[],[f1040,f152]) ).

fof(f1040,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | spl5_17 ),
    inference(subsumption_resolution,[],[f1039,f148]) ).

fof(f1039,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | ~ p__pred_(sF1)
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(t_206))
    | spl5_17 ),
    inference(subsumption_resolution,[],[f1034,f437]) ).

fof(f437,plain,
    ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | spl5_17 ),
    inference(avatar_component_clause,[],[f436]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem    : HWV016-2 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.13  % 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 23:09:13 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (24431)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (24444)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51  % (24435)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.31/0.52  % (24434)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)
% 1.31/0.53  % (24433)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.31/0.53  % (24424)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.31/0.53  % (24423)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.53  % (24429)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.39/0.54  % (24430)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.39/0.54  % (24439)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.54  % (24437)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.39/0.54  % (24425)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.39/0.54  % (24421)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)
% 1.39/0.54  % (24432)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.39/0.54  % (24426)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)
% 1.39/0.54  % (24422)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 (2999ds/37Mi)
% 1.39/0.55  % (24420)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.39/0.55  % (24446)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)
% 1.39/0.55  % (24448)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.39/0.55  % (24443)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.39/0.56  % (24438)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.39/0.56  % (24436)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.39/0.56  % (24445)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.39/0.56  % (24440)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.39/0.56  % (24442)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)
% 1.39/0.56  % (24428)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.39/0.56  % (24428)Instruction limit reached!
% 1.39/0.56  % (24428)------------------------------
% 1.39/0.56  % (24428)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.56  % (24428)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.56  % (24428)Termination reason: Unknown
% 1.39/0.56  % (24428)Termination phase: Property scanning
% 1.39/0.56  
% 1.39/0.56  % (24428)Memory used [KB]: 1023
% 1.39/0.56  % (24428)Time elapsed: 0.002 s
% 1.39/0.56  % (24428)Instructions burned: 2 (million)
% 1.39/0.56  % (24428)------------------------------
% 1.39/0.56  % (24428)------------------------------
% 1.39/0.57  % (24449)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.39/0.57  % (24447)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.39/0.57  % (24441)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.39/0.58  % (24427)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.39/0.58  % (24427)Instruction limit reached!
% 1.39/0.58  % (24427)------------------------------
% 1.39/0.58  % (24427)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.58  % (24427)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.58  % (24427)Termination reason: Unknown
% 1.39/0.58  % (24427)Termination phase: Saturation
% 1.39/0.58  
% 1.39/0.58  % (24427)Memory used [KB]: 5628
% 1.39/0.58  % (24427)Time elapsed: 0.171 s
% 1.39/0.58  % (24427)Instructions burned: 7 (million)
% 1.39/0.58  % (24427)------------------------------
% 1.39/0.58  % (24427)------------------------------
% 1.39/0.59  % (24444)First to succeed.
% 1.39/0.59  % (24444)Refutation found. Thanks to Tanya!
% 1.39/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.39/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.39/0.60  % (24444)------------------------------
% 1.39/0.60  % (24444)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.39/0.60  % (24444)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.39/0.60  % (24444)Termination reason: Refutation
% 1.39/0.60  
% 1.39/0.60  % (24444)Memory used [KB]: 6396
% 1.39/0.60  % (24444)Time elapsed: 0.134 s
% 1.39/0.60  % (24444)Instructions burned: 49 (million)
% 1.39/0.60  % (24444)------------------------------
% 1.39/0.60  % (24444)------------------------------
% 1.39/0.60  % (24419)Success in time 0.246 s
%------------------------------------------------------------------------------