TSTP Solution File: GRP238-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -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 : Mon May 20 21:07:43 EDT 2024

% Result   : Unsatisfiable 0.82s 0.83s
% Output   : Refutation 0.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   92
% Syntax   : Number of formulae    :  453 (  39 unt;   0 def)
%            Number of atoms       : 1863 ( 320 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives : 2645 (1235   ~;1382   |;   0   &)
%                                         (  28 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   43 (  41 usr;  29 prp; 0-2 aty)
%            Number of functors    :   27 (  27 usr;  25 con; 0-2 aty)
%            Number of variables   :  111 ( 111   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2340,plain,
    $false,
    inference(avatar_sat_refutation,[],[f167,f172,f177,f182,f187,f217,f218,f219,f220,f221,f231,f232,f233,f234,f235,f236,f237,f238,f245,f246,f247,f248,f249,f259,f260,f261,f262,f263,f273,f274,f275,f276,f277,f305,f573,f623,f688,f698,f754,f759,f764,f1685,f1694,f1825,f1839,f1859,f1875,f1913,f1917,f2046,f2052,f2058,f2106,f2118,f2119,f2132,f2136,f2184,f2242,f2271,f2287,f2329,f2338]) ).

fof(f2338,plain,
    ( ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_40 ),
    inference(avatar_contradiction_clause,[],[f2337]) ).

fof(f2337,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_40 ),
    inference(subsumption_resolution,[],[f2336,f1928]) ).

fof(f1928,plain,
    ( ~ sP2(sk_c11)
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f67,f1925]) ).

fof(f1925,plain,
    ( sk_c11 = sk_c10
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f1923,f774]) ).

fof(f774,plain,
    ( sk_c10 = multiply(sk_c11,sk_c3)
    | ~ spl29_14 ),
    inference(backward_demodulation,[],[f125,f244]) ).

fof(f244,plain,
    ( sk_c10 = sF26
    | ~ spl29_14 ),
    inference(avatar_component_clause,[],[f242]) ).

fof(f242,plain,
    ( spl29_14
  <=> sk_c10 = sF26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_14])]) ).

fof(f125,plain,
    multiply(sk_c11,sk_c3) = sF26,
    introduced(function_definition,[new_symbols(definition,[sF26])]) ).

fof(f1923,plain,
    ( sk_c11 = multiply(sk_c11,sk_c3)
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(superposition,[],[f840,f771]) ).

fof(f771,plain,
    ( sk_c3 = multiply(sk_c2,sk_c11)
    | ~ spl29_15 ),
    inference(backward_demodulation,[],[f136,f258]) ).

fof(f258,plain,
    ( sk_c3 = sF27
    | ~ spl29_15 ),
    inference(avatar_component_clause,[],[f256]) ).

fof(f256,plain,
    ( spl29_15
  <=> sk_c3 = sF27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_15])]) ).

fof(f136,plain,
    multiply(sk_c2,sk_c11) = sF27,
    introduced(function_definition,[new_symbols(definition,[sF27])]) ).

fof(f840,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c2,X0)) = X0
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f839,f1]) ).

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

fof(f839,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c2,X0))
    | ~ spl29_16 ),
    inference(superposition,[],[f3,f768]) ).

fof(f768,plain,
    ( identity = multiply(sk_c11,sk_c2)
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f322,f272]) ).

fof(f272,plain,
    ( sk_c11 = sF28
    | ~ spl29_16 ),
    inference(avatar_component_clause,[],[f270]) ).

fof(f270,plain,
    ( spl29_16
  <=> sk_c11 = sF28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_16])]) ).

fof(f322,plain,
    identity = multiply(sF28,sk_c2),
    inference(superposition,[],[f2,f147]) ).

fof(f147,plain,
    inverse(sk_c2) = sF28,
    introduced(function_definition,[new_symbols(definition,[sF28])]) ).

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

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity) ).

fof(f67,plain,
    ~ sP2(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f2336,plain,
    ( sP2(sk_c11)
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_40 ),
    inference(forward_demodulation,[],[f2335,f2196]) ).

fof(f2196,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1,f2195]) ).

fof(f2195,plain,
    ( identity = sk_c11
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f2193,f1954]) ).

fof(f1954,plain,
    ( identity = multiply(sk_c11,sk_c11)
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1877,f1925]) ).

fof(f1877,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl29_1 ),
    inference(forward_demodulation,[],[f316,f162]) ).

fof(f162,plain,
    ( sk_c10 = sF14
    | ~ spl29_1 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f160,plain,
    ( spl29_1
  <=> sk_c10 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).

fof(f316,plain,
    identity = multiply(sF14,sk_c11),
    inference(superposition,[],[f2,f83]) ).

fof(f83,plain,
    inverse(sk_c11) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f2193,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(superposition,[],[f842,f1961]) ).

fof(f1961,plain,
    ( sk_c11 = multiply(sk_c1,sk_c11)
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1884,f1925]) ).

fof(f1884,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f114,f230]) ).

fof(f230,plain,
    ( sk_c11 = sF25
    | ~ spl29_13 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl29_13
  <=> sk_c11 = sF25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_13])]) ).

fof(f114,plain,
    multiply(sk_c1,sk_c10) = sF25,
    introduced(function_definition,[new_symbols(definition,[sF25])]) ).

fof(f842,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c1,X0)) = X0
    | ~ spl29_12 ),
    inference(forward_demodulation,[],[f841,f1]) ).

fof(f841,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c1,X0))
    | ~ spl29_12 ),
    inference(superposition,[],[f3,f778]) ).

fof(f778,plain,
    ( identity = multiply(sk_c11,sk_c1)
    | ~ spl29_12 ),
    inference(backward_demodulation,[],[f321,f216]) ).

fof(f216,plain,
    ( sk_c11 = sF24
    | ~ spl29_12 ),
    inference(avatar_component_clause,[],[f214]) ).

fof(f214,plain,
    ( spl29_12
  <=> sk_c11 = sF24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_12])]) ).

fof(f321,plain,
    identity = multiply(sF24,sk_c1),
    inference(superposition,[],[f2,f103]) ).

fof(f103,plain,
    inverse(sk_c1) = sF24,
    introduced(function_definition,[new_symbols(definition,[sF24])]) ).

fof(f2335,plain,
    ( sP2(multiply(sk_c11,sk_c11))
    | ~ spl29_12
    | ~ spl29_40 ),
    inference(forward_demodulation,[],[f734,f216]) ).

fof(f734,plain,
    ( sP2(multiply(sF24,sk_c11))
    | ~ spl29_40 ),
    inference(avatar_component_clause,[],[f732]) ).

fof(f732,plain,
    ( spl29_40
  <=> sP2(multiply(sF24,sk_c11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_40])]) ).

fof(f2329,plain,
    ( ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(avatar_contradiction_clause,[],[f2328]) ).

fof(f2328,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f2327,f72]) ).

fof(f72,plain,
    ~ sP7(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f2327,plain,
    ( sP7(sk_c11)
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f2326,f1953]) ).

fof(f1953,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1873,f1925]) ).

fof(f1873,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl29_1 ),
    inference(forward_demodulation,[],[f83,f162]) ).

fof(f2326,plain,
    ( sP7(inverse(sk_c11))
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f2325,f2196]) ).

fof(f2325,plain,
    ( sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f2308,f71]) ).

fof(f71,plain,
    ~ sP6(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f2308,plain,
    ( sP6(sk_c11)
    | sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(superposition,[],[f2297,f2197]) ).

fof(f2197,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f2,f2195]) ).

fof(f2297,plain,
    ( ! [X6] :
        ( sP6(multiply(inverse(X6),sk_c11))
        | sP7(multiply(X6,inverse(X6))) )
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f295,f1925]) ).

fof(f295,plain,
    ( ! [X6] :
        ( sP6(multiply(inverse(X6),sk_c10))
        | sP7(multiply(X6,inverse(X6))) )
    | ~ spl29_20 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl29_20
  <=> ! [X6] :
        ( sP6(multiply(inverse(X6),sk_c10))
        | sP7(multiply(X6,inverse(X6))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_20])]) ).

fof(f2287,plain,
    ( ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(avatar_contradiction_clause,[],[f2286]) ).

fof(f2286,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f2285,f69]) ).

fof(f69,plain,
    ~ sP4(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f2285,plain,
    ( sP4(sk_c11)
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f2284,f2196]) ).

fof(f2284,plain,
    ( sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f2282,f70]) ).

fof(f70,plain,
    ~ sP5(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f2282,plain,
    ( sP5(sk_c11)
    | sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(superposition,[],[f2281,f1953]) ).

fof(f2281,plain,
    ( ! [X8] :
        ( sP5(inverse(X8))
        | sP4(multiply(X8,sk_c11)) )
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f298,f1925]) ).

fof(f298,plain,
    ( ! [X8] :
        ( sP4(multiply(X8,sk_c10))
        | sP5(inverse(X8)) )
    | ~ spl29_21 ),
    inference(avatar_component_clause,[],[f297]) ).

fof(f297,plain,
    ( spl29_21
  <=> ! [X8] :
        ( sP4(multiply(X8,sk_c10))
        | sP5(inverse(X8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_21])]) ).

fof(f2271,plain,
    ( ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(avatar_contradiction_clause,[],[f2270]) ).

fof(f2270,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f2269,f1929]) ).

fof(f1929,plain,
    ( ~ sP9(sk_c11)
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f74,f1925]) ).

fof(f74,plain,
    ~ sP9(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f2269,plain,
    ( sP9(sk_c11)
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(forward_demodulation,[],[f2268,f2196]) ).

fof(f2268,plain,
    ( sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f2266,f73]) ).

fof(f73,plain,
    ~ sP8(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f2266,plain,
    ( sP8(sk_c11)
    | sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(superposition,[],[f2219,f1953]) ).

fof(f2219,plain,
    ( ! [X5] :
        ( sP8(inverse(X5))
        | sP9(multiply(X5,sk_c11)) )
    | ~ spl29_1
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(backward_demodulation,[],[f292,f2196]) ).

fof(f292,plain,
    ( ! [X5] :
        ( sP8(inverse(X5))
        | sP9(multiply(sk_c11,multiply(X5,sk_c11))) )
    | ~ spl29_19 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f291,plain,
    ( spl29_19
  <=> ! [X5] :
        ( sP8(inverse(X5))
        | sP9(multiply(sk_c11,multiply(X5,sk_c11))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_19])]) ).

fof(f2242,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | spl29_6
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(avatar_contradiction_clause,[],[f2241]) ).

fof(f2241,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | spl29_6
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(subsumption_resolution,[],[f2221,f185]) ).

fof(f185,plain,
    ( sk_c11 != sF18
    | spl29_6 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f184,plain,
    ( spl29_6
  <=> sk_c11 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_6])]) ).

fof(f2221,plain,
    ( sk_c11 = sF18
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f2142,f2196]) ).

fof(f2142,plain,
    ( sk_c11 = multiply(sk_c11,sF18)
    | ~ spl29_5
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f862,f1925]) ).

fof(f862,plain,
    ( sk_c10 = multiply(sk_c11,sF18)
    | ~ spl29_5 ),
    inference(superposition,[],[f341,f91]) ).

fof(f91,plain,
    multiply(sk_c6,sk_c10) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f341,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c6,X0)) = X0
    | ~ spl29_5 ),
    inference(forward_demodulation,[],[f340,f1]) ).

fof(f340,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c11,multiply(sk_c6,X0))
    | ~ spl29_5 ),
    inference(superposition,[],[f3,f318]) ).

fof(f318,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | ~ spl29_5 ),
    inference(superposition,[],[f2,f312]) ).

fof(f312,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl29_5 ),
    inference(backward_demodulation,[],[f89,f181]) ).

fof(f181,plain,
    ( sk_c11 = sF17
    | ~ spl29_5 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl29_5
  <=> sk_c11 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).

fof(f89,plain,
    inverse(sk_c6) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f2184,plain,
    ( ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(avatar_contradiction_clause,[],[f2183]) ).

fof(f2183,plain,
    ( $false
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f2182,f1926]) ).

fof(f1926,plain,
    ( ~ sP0(sk_c11)
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f65,f1925]) ).

fof(f65,plain,
    ~ sP0(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f2182,plain,
    ( sP0(sk_c11)
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(forward_demodulation,[],[f2181,f1961]) ).

fof(f2181,plain,
    ( sP0(multiply(sk_c1,sk_c11))
    | ~ spl29_12
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f2175,f1927]) ).

fof(f1927,plain,
    ( ~ sP1(sk_c11)
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f66,f1925]) ).

fof(f66,plain,
    ~ sP1(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2175,plain,
    ( sP1(sk_c11)
    | sP0(multiply(sk_c1,sk_c11))
    | ~ spl29_12
    | ~ spl29_23 ),
    inference(superposition,[],[f304,f779]) ).

fof(f779,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl29_12 ),
    inference(backward_demodulation,[],[f103,f216]) ).

fof(f304,plain,
    ( ! [X11] :
        ( sP1(inverse(X11))
        | sP0(multiply(X11,sk_c11)) )
    | ~ spl29_23 ),
    inference(avatar_component_clause,[],[f303]) ).

fof(f303,plain,
    ( spl29_23
  <=> ! [X11] :
        ( sP0(multiply(X11,sk_c11))
        | sP1(inverse(X11)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_23])]) ).

fof(f2136,plain,
    ( ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_45
    | spl29_49 ),
    inference(avatar_contradiction_clause,[],[f2135]) ).

fof(f2135,plain,
    ( $false
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_45
    | spl29_49 ),
    inference(subsumption_resolution,[],[f2134,f817]) ).

fof(f817,plain,
    ( ~ sP3(sk_c11)
    | spl29_49 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f816,plain,
    ( spl29_49
  <=> sP3(sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_49])]) ).

fof(f2134,plain,
    ( sP3(sk_c11)
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_45 ),
    inference(backward_demodulation,[],[f2120,f1961]) ).

fof(f2120,plain,
    ( sP3(multiply(sk_c1,sk_c11))
    | ~ spl29_12
    | ~ spl29_45 ),
    inference(forward_demodulation,[],[f763,f216]) ).

fof(f763,plain,
    ( sP3(multiply(sk_c1,sF24))
    | ~ spl29_45 ),
    inference(avatar_component_clause,[],[f761]) ).

fof(f761,plain,
    ( spl29_45
  <=> sP3(multiply(sk_c1,sF24)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_45])]) ).

fof(f2132,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_42 ),
    inference(avatar_contradiction_clause,[],[f2131]) ).

fof(f2131,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_42 ),
    inference(subsumption_resolution,[],[f2130,f1928]) ).

fof(f2130,plain,
    ( sP2(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_42 ),
    inference(forward_demodulation,[],[f2129,f1965]) ).

fof(f1965,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1,f1964]) ).

fof(f1964,plain,
    ( identity = sk_c11
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f1954,f1948]) ).

fof(f1948,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f1713,f1925]) ).

fof(f1713,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f862,f186]) ).

fof(f186,plain,
    ( sk_c11 = sF18
    | ~ spl29_6 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f2129,plain,
    ( sP2(multiply(sk_c11,sk_c11))
    | ~ spl29_16
    | ~ spl29_42 ),
    inference(forward_demodulation,[],[f744,f272]) ).

fof(f744,plain,
    ( sP2(multiply(sF28,sk_c11))
    | ~ spl29_42 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f742,plain,
    ( spl29_42
  <=> sP2(multiply(sF28,sk_c11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_42])]) ).

fof(f2119,plain,
    ( ~ spl29_49
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(avatar_split_clause,[],[f2075,f270,f256,f242,f816]) ).

fof(f2075,plain,
    ( ~ sP3(sk_c11)
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f68,f1925]) ).

fof(f68,plain,
    ~ sP3(sk_c10),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f2118,plain,
    ( spl29_49
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_44 ),
    inference(avatar_split_clause,[],[f2111,f756,f270,f256,f242,f184,f179,f160,f816]) ).

fof(f756,plain,
    ( spl29_44
  <=> sP3(multiply(sk_c2,sF28)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_44])]) ).

fof(f2111,plain,
    ( sP3(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_44 ),
    inference(forward_demodulation,[],[f2110,f1965]) ).

fof(f2110,plain,
    ( sP3(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_44 ),
    inference(forward_demodulation,[],[f2109,f1999]) ).

fof(f1999,plain,
    ( sk_c11 = sk_c2
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(forward_demodulation,[],[f1968,f1965]) ).

fof(f1968,plain,
    ( sk_c11 = multiply(sk_c11,sk_c2)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f768,f1964]) ).

fof(f2109,plain,
    ( sP3(multiply(sk_c2,sk_c11))
    | ~ spl29_16
    | ~ spl29_44 ),
    inference(forward_demodulation,[],[f758,f272]) ).

fof(f758,plain,
    ( sP3(multiply(sk_c2,sF28))
    | ~ spl29_44 ),
    inference(avatar_component_clause,[],[f756]) ).

fof(f2106,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(avatar_contradiction_clause,[],[f2105]) ).

fof(f2105,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f2104,f1926]) ).

fof(f2104,plain,
    ( sP0(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(forward_demodulation,[],[f2103,f1965]) ).

fof(f2103,plain,
    ( sP0(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f2101,f1927]) ).

fof(f2101,plain,
    ( sP1(sk_c11)
    | sP0(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_23 ),
    inference(superposition,[],[f304,f1953]) ).

fof(f2058,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(avatar_contradiction_clause,[],[f2057]) ).

fof(f2057,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f2056,f1929]) ).

fof(f2056,plain,
    ( sP9(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(forward_demodulation,[],[f2055,f1965]) ).

fof(f2055,plain,
    ( sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f2054,f73]) ).

fof(f2054,plain,
    ( sP8(sk_c11)
    | sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(superposition,[],[f2053,f1953]) ).

fof(f2053,plain,
    ( ! [X5] :
        ( sP8(inverse(X5))
        | sP9(multiply(X5,sk_c11)) )
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_19 ),
    inference(forward_demodulation,[],[f292,f1965]) ).

fof(f2052,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(avatar_contradiction_clause,[],[f2051]) ).

fof(f2051,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f2050,f69]) ).

fof(f2050,plain,
    ( sP4(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f2049,f1965]) ).

fof(f2049,plain,
    ( sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f2048,f70]) ).

fof(f2048,plain,
    ( sP5(sk_c11)
    | sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(superposition,[],[f2047,f1953]) ).

fof(f2047,plain,
    ( ! [X8] :
        ( sP5(inverse(X8))
        | sP4(multiply(X8,sk_c11)) )
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f298,f1925]) ).

fof(f2046,plain,
    ( ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(avatar_contradiction_clause,[],[f2045]) ).

fof(f2045,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f2044,f72]) ).

fof(f2044,plain,
    ( sP7(sk_c11)
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f2043,f1953]) ).

fof(f2043,plain,
    ( sP7(inverse(sk_c11))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f2042,f1965]) ).

fof(f2042,plain,
    ( sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f2036,f71]) ).

fof(f2036,plain,
    ( sP6(sk_c11)
    | sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(superposition,[],[f1937,f1966]) ).

fof(f1966,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl29_1
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16 ),
    inference(backward_demodulation,[],[f2,f1964]) ).

fof(f1937,plain,
    ( ! [X6] :
        ( sP6(multiply(inverse(X6),sk_c11))
        | sP7(multiply(X6,inverse(X6))) )
    | ~ spl29_14
    | ~ spl29_15
    | ~ spl29_16
    | ~ spl29_20 ),
    inference(backward_demodulation,[],[f295,f1925]) ).

fof(f1917,plain,
    ( ~ spl29_12
    | ~ spl29_13
    | ~ spl29_18 ),
    inference(avatar_contradiction_clause,[],[f1916]) ).

fof(f1916,plain,
    ( $false
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_18 ),
    inference(subsumption_resolution,[],[f1915,f76]) ).

fof(f76,plain,
    ~ sP11(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP11])]) ).

fof(f1915,plain,
    ( sP11(sk_c11)
    | ~ spl29_12
    | ~ spl29_13
    | ~ spl29_18 ),
    inference(forward_demodulation,[],[f1914,f779]) ).

fof(f1914,plain,
    ( sP11(inverse(sk_c1))
    | ~ spl29_13
    | ~ spl29_18 ),
    inference(subsumption_resolution,[],[f1907,f75]) ).

fof(f75,plain,
    ~ sP10(sk_c11),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP10])]) ).

fof(f1907,plain,
    ( sP10(sk_c11)
    | sP11(inverse(sk_c1))
    | ~ spl29_13
    | ~ spl29_18 ),
    inference(superposition,[],[f289,f1884]) ).

fof(f289,plain,
    ( ! [X3] :
        ( sP10(multiply(X3,sk_c10))
        | sP11(inverse(X3)) )
    | ~ spl29_18 ),
    inference(avatar_component_clause,[],[f288]) ).

fof(f288,plain,
    ( spl29_18
  <=> ! [X3] :
        ( sP10(multiply(X3,sk_c10))
        | sP11(inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_18])]) ).

fof(f1913,plain,
    ( ~ spl29_5
    | ~ spl29_6
    | ~ spl29_18 ),
    inference(avatar_contradiction_clause,[],[f1912]) ).

fof(f1912,plain,
    ( $false
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_18 ),
    inference(subsumption_resolution,[],[f1911,f76]) ).

fof(f1911,plain,
    ( sP11(sk_c11)
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_18 ),
    inference(forward_demodulation,[],[f1910,f312]) ).

fof(f1910,plain,
    ( sP11(inverse(sk_c6))
    | ~ spl29_6
    | ~ spl29_18 ),
    inference(subsumption_resolution,[],[f1906,f75]) ).

fof(f1906,plain,
    ( sP10(sk_c11)
    | sP11(inverse(sk_c6))
    | ~ spl29_6
    | ~ spl29_18 ),
    inference(superposition,[],[f289,f1711]) ).

fof(f1711,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f91,f186]) ).

fof(f1875,plain,
    ( ~ spl29_17
    | ~ spl29_1 ),
    inference(avatar_split_clause,[],[f1874,f160,f284]) ).

fof(f284,plain,
    ( spl29_17
  <=> sP12(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_17])]) ).

fof(f1874,plain,
    ( ~ sP12(sk_c10)
    | ~ spl29_1 ),
    inference(forward_demodulation,[],[f158,f162]) ).

fof(f158,plain,
    ~ sP12(sF14),
    inference(definition_folding,[],[f77,f83]) ).

fof(f77,plain,
    ~ sP12(inverse(sk_c11)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP12])]) ).

fof(f1859,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_9
    | ~ spl29_55 ),
    inference(avatar_contradiction_clause,[],[f1858]) ).

fof(f1858,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_9
    | ~ spl29_55 ),
    inference(subsumption_resolution,[],[f1857,f1717]) ).

fof(f1717,plain,
    ( ~ sP1(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f66,f1715]) ).

fof(f1715,plain,
    ( sk_c11 = sk_c10
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f767,f1713]) ).

fof(f767,plain,
    ( sk_c11 = multiply(sk_c11,sk_c11)
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(forward_demodulation,[],[f400,f315]) ).

fof(f315,plain,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | ~ spl29_2 ),
    inference(backward_demodulation,[],[f82,f166]) ).

fof(f166,plain,
    ( sk_c11 = sF13
    | ~ spl29_2 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f164,plain,
    ( spl29_2
  <=> sk_c11 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).

fof(f82,plain,
    multiply(sk_c4,sk_c5) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f400,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c11,sk_c11)
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(superposition,[],[f333,f346]) ).

fof(f346,plain,
    ( sk_c5 = multiply(sk_c5,sk_c11)
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(superposition,[],[f339,f315]) ).

fof(f339,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl29_3 ),
    inference(forward_demodulation,[],[f332,f1]) ).

fof(f332,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl29_3 ),
    inference(superposition,[],[f3,f317]) ).

fof(f317,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl29_3 ),
    inference(superposition,[],[f2,f314]) ).

fof(f314,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl29_3 ),
    inference(backward_demodulation,[],[f85,f171]) ).

fof(f171,plain,
    ( sk_c5 = sF15
    | ~ spl29_3 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl29_3
  <=> sk_c5 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_3])]) ).

fof(f85,plain,
    inverse(sk_c4) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f333,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c4,multiply(sk_c5,X0))
    | ~ spl29_2 ),
    inference(superposition,[],[f3,f315]) ).

fof(f1857,plain,
    ( sP1(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_9
    | ~ spl29_55 ),
    inference(forward_demodulation,[],[f1693,f1828]) ).

fof(f1828,plain,
    ( sk_c11 = sF20
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_8
    | ~ spl29_9 ),
    inference(forward_demodulation,[],[f196,f1822]) ).

fof(f1822,plain,
    ( sk_c11 = sk_c8
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_9 ),
    inference(backward_demodulation,[],[f1724,f1820]) ).

fof(f1820,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_9 ),
    inference(backward_demodulation,[],[f1755,f1819]) ).

fof(f1819,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_9 ),
    inference(forward_demodulation,[],[f1817,f1751]) ).

fof(f1751,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f398,f1750]) ).

fof(f1750,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f1749,f398]) ).

fof(f1749,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f339,f1741]) ).

fof(f1741,plain,
    ( sk_c11 = sk_c5
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f346,f1740]) ).

fof(f1740,plain,
    ( sk_c11 = multiply(sk_c5,sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f313,f1715]) ).

fof(f313,plain,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | ~ spl29_4 ),
    inference(backward_demodulation,[],[f87,f176]) ).

fof(f176,plain,
    ( sk_c11 = sF16
    | ~ spl29_4 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl29_4
  <=> sk_c11 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_4])]) ).

fof(f87,plain,
    multiply(sk_c5,sk_c10) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f398,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c11,multiply(sk_c4,X0))
    | ~ spl29_2
    | ~ spl29_3 ),
    inference(superposition,[],[f333,f339]) ).

fof(f1817,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,X0)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_9 ),
    inference(backward_demodulation,[],[f1753,f1816]) ).

fof(f1816,plain,
    ( sk_c11 = sF21
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_9 ),
    inference(forward_demodulation,[],[f201,f1715]) ).

fof(f201,plain,
    ( sk_c10 = sF21
    | ~ spl29_9 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl29_9
  <=> sk_c10 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_9])]) ).

fof(f1753,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sF21,X0)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f1115,f1751]) ).

fof(f1115,plain,
    ! [X0] : multiply(sk_c8,multiply(sk_c11,X0)) = multiply(sF21,X0),
    inference(superposition,[],[f3,f97]) ).

fof(f97,plain,
    multiply(sk_c8,sk_c11) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f1755,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7 ),
    inference(backward_demodulation,[],[f1725,f1751]) ).

fof(f1725,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7 ),
    inference(backward_demodulation,[],[f334,f1715]) ).

fof(f334,plain,
    ( ! [X0] : multiply(sk_c10,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl29_7 ),
    inference(superposition,[],[f3,f310]) ).

fof(f310,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl29_7 ),
    inference(backward_demodulation,[],[f93,f191]) ).

fof(f191,plain,
    ( sk_c10 = sF19
    | ~ spl29_7 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl29_7
  <=> sk_c10 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_7])]) ).

fof(f93,plain,
    multiply(sk_c7,sk_c8) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f1724,plain,
    ( sk_c11 = multiply(sk_c7,sk_c8)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7 ),
    inference(backward_demodulation,[],[f310,f1715]) ).

fof(f196,plain,
    ( sk_c8 = sF20
    | ~ spl29_8 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl29_8
  <=> sk_c8 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_8])]) ).

fof(f1693,plain,
    ( sP1(sF20)
    | ~ spl29_55 ),
    inference(avatar_component_clause,[],[f1691]) ).

fof(f1691,plain,
    ( spl29_55
  <=> sP1(sF20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_55])]) ).

fof(f1839,plain,
    ( spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(avatar_contradiction_clause,[],[f1838]) ).

fof(f1838,plain,
    ( $false
    | spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(subsumption_resolution,[],[f1837,f1715]) ).

fof(f1837,plain,
    ( sk_c11 != sk_c10
    | spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f161,f1801]) ).

fof(f1801,plain,
    ( sk_c11 = sF14
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f1800,f83]) ).

fof(f1800,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f1776,f1791]) ).

fof(f1791,plain,
    ( identity = sk_c11
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f316,f1790]) ).

fof(f1790,plain,
    ( ! [X0] : multiply(sF14,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f765,f1751]) ).

fof(f765,plain,
    ! [X0] : multiply(sF14,multiply(sk_c11,X0)) = X0,
    inference(forward_demodulation,[],[f555,f1]) ).

fof(f555,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF14,multiply(sk_c11,X0)),
    inference(superposition,[],[f3,f316]) ).

fof(f1776,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f1745,f1763]) ).

fof(f1763,plain,
    ( identity = sk_c4
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f1743,f1751]) ).

fof(f1743,plain,
    ( identity = multiply(sk_c11,sk_c4)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f317,f1741]) ).

fof(f1745,plain,
    ( sk_c11 = inverse(sk_c4)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f314,f1741]) ).

fof(f161,plain,
    ( sk_c10 != sF14
    | spl29_1 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f1825,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_54 ),
    inference(avatar_contradiction_clause,[],[f1824]) ).

fof(f1824,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_54 ),
    inference(subsumption_resolution,[],[f1821,f1716]) ).

fof(f1716,plain,
    ( ~ sP0(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f65,f1715]) ).

fof(f1821,plain,
    ( sP0(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_7
    | ~ spl29_9
    | ~ spl29_54 ),
    inference(backward_demodulation,[],[f1689,f1820]) ).

fof(f1689,plain,
    ( sP0(multiply(sk_c7,sk_c11))
    | ~ spl29_54 ),
    inference(avatar_component_clause,[],[f1687]) ).

fof(f1687,plain,
    ( spl29_54
  <=> sP0(multiply(sk_c7,sk_c11)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_54])]) ).

fof(f1694,plain,
    ( spl29_54
    | spl29_55
    | ~ spl29_23 ),
    inference(avatar_split_clause,[],[f1680,f303,f1691,f1687]) ).

fof(f1680,plain,
    ( sP1(sF20)
    | sP0(multiply(sk_c7,sk_c11))
    | ~ spl29_23 ),
    inference(superposition,[],[f304,f95]) ).

fof(f95,plain,
    inverse(sk_c7) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f1685,plain,
    ( ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13
    | ~ spl29_23 ),
    inference(avatar_contradiction_clause,[],[f1684]) ).

fof(f1684,plain,
    ( $false
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f1683,f1587]) ).

fof(f1587,plain,
    ( ~ sP0(sk_c11)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f65,f1585]) ).

fof(f1585,plain,
    ( sk_c11 = sk_c10
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f776,f1578]) ).

fof(f1578,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f1556,f1557]) ).

fof(f1557,plain,
    ( ! [X0] : multiply(sk_c10,X0) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(backward_demodulation,[],[f780,f1551]) ).

fof(f1551,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(backward_demodulation,[],[f398,f1550]) ).

fof(f1550,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(forward_demodulation,[],[f1543,f398]) ).

fof(f1543,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(backward_demodulation,[],[f339,f1538]) ).

fof(f1538,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,X0)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(forward_demodulation,[],[f1537,f1]) ).

fof(f1537,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(superposition,[],[f3,f1501]) ).

fof(f1501,plain,
    ( sk_c11 = multiply(sk_c5,identity)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4 ),
    inference(forward_demodulation,[],[f1365,f767]) ).

fof(f1365,plain,
    ( multiply(sk_c11,sk_c11) = multiply(sk_c5,identity)
    | ~ spl29_1
    | ~ spl29_4 ),
    inference(superposition,[],[f330,f781]) ).

fof(f781,plain,
    ( identity = multiply(sk_c10,sk_c11)
    | ~ spl29_1 ),
    inference(backward_demodulation,[],[f316,f162]) ).

fof(f330,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c5,multiply(sk_c10,X0))
    | ~ spl29_4 ),
    inference(superposition,[],[f3,f313]) ).

fof(f780,plain,
    ( ! [X0] : multiply(sk_c10,multiply(sk_c11,X0)) = X0
    | ~ spl29_1 ),
    inference(backward_demodulation,[],[f765,f162]) ).

fof(f1556,plain,
    ( ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = X0
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f777,f1551]) ).

fof(f777,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c1,multiply(sk_c10,X0))
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f331,f230]) ).

fof(f331,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c10,X0)) = multiply(sF25,X0),
    inference(superposition,[],[f3,f114]) ).

fof(f776,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f114,f230]) ).

fof(f1683,plain,
    ( sP0(sk_c11)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13
    | ~ spl29_23 ),
    inference(forward_demodulation,[],[f1682,f1551]) ).

fof(f1682,plain,
    ( sP0(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13
    | ~ spl29_23 ),
    inference(subsumption_resolution,[],[f1679,f1588]) ).

fof(f1588,plain,
    ( ~ sP1(sk_c11)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f66,f1585]) ).

fof(f1679,plain,
    ( sP1(sk_c11)
    | sP0(multiply(sk_c11,sk_c11))
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13
    | ~ spl29_23 ),
    inference(superposition,[],[f304,f1600]) ).

fof(f1600,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl29_1
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_13 ),
    inference(backward_demodulation,[],[f783,f1585]) ).

fof(f783,plain,
    ( inverse(sk_c11) = sk_c10
    | ~ spl29_1 ),
    inference(backward_demodulation,[],[f83,f162]) ).

fof(f764,plain,
    ( spl29_45
    | spl29_40
    | ~ spl29_22 ),
    inference(avatar_split_clause,[],[f722,f300,f732,f761]) ).

fof(f300,plain,
    ( spl29_22
  <=> ! [X9] :
        ( sP2(multiply(inverse(X9),sk_c11))
        | sP3(multiply(X9,inverse(X9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_22])]) ).

fof(f722,plain,
    ( sP2(multiply(sF24,sk_c11))
    | sP3(multiply(sk_c1,sF24))
    | ~ spl29_22 ),
    inference(superposition,[],[f301,f103]) ).

fof(f301,plain,
    ( ! [X9] :
        ( sP2(multiply(inverse(X9),sk_c11))
        | sP3(multiply(X9,inverse(X9))) )
    | ~ spl29_22 ),
    inference(avatar_component_clause,[],[f300]) ).

fof(f759,plain,
    ( spl29_44
    | spl29_42
    | ~ spl29_22 ),
    inference(avatar_split_clause,[],[f723,f300,f742,f756]) ).

fof(f723,plain,
    ( sP2(multiply(sF28,sk_c11))
    | sP3(multiply(sk_c2,sF28))
    | ~ spl29_22 ),
    inference(superposition,[],[f301,f147]) ).

fof(f754,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(avatar_contradiction_clause,[],[f753]) ).

fof(f753,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(subsumption_resolution,[],[f752,f412]) ).

fof(f412,plain,
    ( ~ sP3(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f68,f408]) ).

fof(f408,plain,
    ( sk_c11 = sk_c10
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f407,f315]) ).

fof(f407,plain,
    ( sk_c10 = multiply(sk_c4,sk_c5)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f400,f360]) ).

fof(f360,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(superposition,[],[f341,f311]) ).

fof(f311,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f91,f186]) ).

fof(f752,plain,
    ( sP3(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(forward_demodulation,[],[f751,f571]) ).

fof(f571,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f83,f568]) ).

fof(f568,plain,
    ( sk_c11 = sF14
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f566,f83]) ).

fof(f566,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f482,f558]) ).

fof(f558,plain,
    ( identity = sk_c11
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f316,f557]) ).

fof(f557,plain,
    ( ! [X0] : multiply(sF14,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f556,f1]) ).

fof(f556,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF14,X0)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f555,f465]) ).

fof(f465,plain,
    ( ! [X0] : multiply(sk_c11,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f398,f464]) ).

fof(f464,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f454,f398]) ).

fof(f454,plain,
    ( ! [X0] : multiply(sk_c11,multiply(sk_c4,X0)) = X0
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f339,f448]) ).

fof(f448,plain,
    ( sk_c11 = sk_c5
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(forward_demodulation,[],[f424,f346]) ).

fof(f424,plain,
    ( sk_c11 = multiply(sk_c5,sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f313,f408]) ).

fof(f482,plain,
    ( sk_c11 = inverse(identity)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f450,f472]) ).

fof(f472,plain,
    ( identity = sk_c4
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f452,f465]) ).

fof(f452,plain,
    ( identity = multiply(sk_c11,sk_c4)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f317,f448]) ).

fof(f450,plain,
    ( sk_c11 = inverse(sk_c4)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f314,f448]) ).

fof(f751,plain,
    ( sP3(inverse(sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(forward_demodulation,[],[f750,f465]) ).

fof(f750,plain,
    ( sP3(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(subsumption_resolution,[],[f724,f411]) ).

fof(f411,plain,
    ( ~ sP2(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f67,f408]) ).

fof(f724,plain,
    ( sP2(sk_c11)
    | sP3(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_22 ),
    inference(superposition,[],[f301,f560]) ).

fof(f560,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c11
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f2,f558]) ).

fof(f698,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(avatar_contradiction_clause,[],[f697]) ).

fof(f697,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f696,f69]) ).

fof(f696,plain,
    ( sP4(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f695,f465]) ).

fof(f695,plain,
    ( sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(subsumption_resolution,[],[f692,f70]) ).

fof(f692,plain,
    ( sP5(sk_c11)
    | sP4(multiply(sk_c11,sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(superposition,[],[f689,f571]) ).

fof(f689,plain,
    ( ! [X8] :
        ( sP5(inverse(X8))
        | sP4(multiply(X8,sk_c11)) )
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_21 ),
    inference(forward_demodulation,[],[f298,f408]) ).

fof(f688,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(avatar_contradiction_clause,[],[f687]) ).

fof(f687,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f686,f72]) ).

fof(f686,plain,
    ( sP7(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f685,f571]) ).

fof(f685,plain,
    ( sP7(inverse(sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f684,f465]) ).

fof(f684,plain,
    ( sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(subsumption_resolution,[],[f658,f71]) ).

fof(f658,plain,
    ( sP6(sk_c11)
    | sP7(multiply(sk_c11,inverse(sk_c11)))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(superposition,[],[f646,f560]) ).

fof(f646,plain,
    ( ! [X6] :
        ( sP6(multiply(inverse(X6),sk_c11))
        | sP7(multiply(X6,inverse(X6))) )
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_20 ),
    inference(forward_demodulation,[],[f295,f408]) ).

fof(f623,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(avatar_contradiction_clause,[],[f622]) ).

fof(f622,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f621,f413]) ).

fof(f413,plain,
    ( ~ sP9(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f74,f408]) ).

fof(f621,plain,
    ( sP9(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(forward_demodulation,[],[f620,f465]) ).

fof(f620,plain,
    ( sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(subsumption_resolution,[],[f617,f73]) ).

fof(f617,plain,
    ( sP8(sk_c11)
    | sP9(multiply(sk_c11,sk_c11))
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(superposition,[],[f613,f571]) ).

fof(f613,plain,
    ( ! [X5] :
        ( sP8(inverse(X5))
        | sP9(multiply(X5,sk_c11)) )
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_19 ),
    inference(forward_demodulation,[],[f292,f465]) ).

fof(f573,plain,
    ( ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_17 ),
    inference(avatar_contradiction_clause,[],[f572]) ).

fof(f572,plain,
    ( $false
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_17 ),
    inference(subsumption_resolution,[],[f570,f419]) ).

fof(f419,plain,
    ( sP12(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_5
    | ~ spl29_6
    | ~ spl29_17 ),
    inference(backward_demodulation,[],[f286,f408]) ).

fof(f286,plain,
    ( sP12(sk_c10)
    | ~ spl29_17 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f570,plain,
    ( ~ sP12(sk_c11)
    | ~ spl29_2
    | ~ spl29_3
    | ~ spl29_4
    | ~ spl29_5
    | ~ spl29_6 ),
    inference(backward_demodulation,[],[f158,f568]) ).

fof(f305,plain,
    ( spl29_17
    | spl29_18
    | spl29_19
    | spl29_20
    | spl29_21
    | spl29_22
    | spl29_23 ),
    inference(avatar_split_clause,[],[f81,f303,f300,f297,f294,f291,f288,f284]) ).

fof(f81,plain,
    ! [X3,X11,X8,X6,X9,X5] :
      ( sP0(multiply(X11,sk_c11))
      | sP1(inverse(X11))
      | sP2(multiply(inverse(X9),sk_c11))
      | sP3(multiply(X9,inverse(X9)))
      | sP4(multiply(X8,sk_c10))
      | sP5(inverse(X8))
      | sP6(multiply(inverse(X6),sk_c10))
      | sP7(multiply(X6,inverse(X6)))
      | sP8(inverse(X5))
      | sP9(multiply(sk_c11,multiply(X5,sk_c11)))
      | sP10(multiply(X3,sk_c10))
      | sP11(inverse(X3))
      | sP12(sk_c10) ),
    inference(equality_resolution,[],[f80]) ).

fof(f80,plain,
    ! [X3,X11,X8,X6,X9,X4,X5] :
      ( sP0(multiply(X11,sk_c11))
      | sP1(inverse(X11))
      | sP2(multiply(inverse(X9),sk_c11))
      | sP3(multiply(X9,inverse(X9)))
      | sP4(multiply(X8,sk_c10))
      | sP5(inverse(X8))
      | sP6(multiply(inverse(X6),sk_c10))
      | sP7(multiply(X6,inverse(X6)))
      | sP8(inverse(X5))
      | multiply(X5,sk_c11) != X4
      | sP9(multiply(sk_c11,X4))
      | sP10(multiply(X3,sk_c10))
      | sP11(inverse(X3))
      | sP12(sk_c10) ),
    inference(equality_resolution,[],[f79]) ).

fof(f79,plain,
    ! [X3,X11,X8,X6,X9,X7,X4,X5] :
      ( sP0(multiply(X11,sk_c11))
      | sP1(inverse(X11))
      | sP2(multiply(inverse(X9),sk_c11))
      | sP3(multiply(X9,inverse(X9)))
      | sP4(multiply(X8,sk_c10))
      | sP5(inverse(X8))
      | sP6(multiply(X7,sk_c10))
      | inverse(X6) != X7
      | sP7(multiply(X6,X7))
      | sP8(inverse(X5))
      | multiply(X5,sk_c11) != X4
      | sP9(multiply(sk_c11,X4))
      | sP10(multiply(X3,sk_c10))
      | sP11(inverse(X3))
      | sP12(sk_c10) ),
    inference(equality_resolution,[],[f78]) ).

fof(f78,plain,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sP0(multiply(X11,sk_c11))
      | sP1(inverse(X11))
      | sP2(multiply(X10,sk_c11))
      | inverse(X9) != X10
      | sP3(multiply(X9,X10))
      | sP4(multiply(X8,sk_c10))
      | sP5(inverse(X8))
      | sP6(multiply(X7,sk_c10))
      | inverse(X6) != X7
      | sP7(multiply(X6,X7))
      | sP8(inverse(X5))
      | multiply(X5,sk_c11) != X4
      | sP9(multiply(sk_c11,X4))
      | sP10(multiply(X3,sk_c10))
      | sP11(inverse(X3))
      | sP12(sk_c10) ),
    inference(inequality_splitting,[],[f64,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65]) ).

fof(f64,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X11,sk_c11)
      | sk_c10 != inverse(X11)
      | sk_c10 != multiply(X10,sk_c11)
      | inverse(X9) != X10
      | sk_c10 != multiply(X9,X10)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != inverse(X8)
      | sk_c11 != multiply(X7,sk_c10)
      | inverse(X6) != X7
      | sk_c11 != multiply(X6,X7)
      | sk_c11 != inverse(X5)
      | multiply(X5,sk_c11) != X4
      | sk_c10 != multiply(sk_c11,X4)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != inverse(X3)
      | inverse(sk_c11) != sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_61) ).

fof(f277,plain,
    ( spl29_16
    | spl29_6 ),
    inference(avatar_split_clause,[],[f152,f184,f270]) ).

fof(f152,plain,
    ( sk_c11 = sF18
    | sk_c11 = sF28 ),
    inference(definition_folding,[],[f58,f147,f91]) ).

fof(f58,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_55) ).

fof(f276,plain,
    ( spl29_16
    | spl29_5 ),
    inference(avatar_split_clause,[],[f151,f179,f270]) ).

fof(f151,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF28 ),
    inference(definition_folding,[],[f57,f147,f89]) ).

fof(f57,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_54) ).

fof(f275,plain,
    ( spl29_16
    | spl29_4 ),
    inference(avatar_split_clause,[],[f150,f174,f270]) ).

fof(f150,plain,
    ( sk_c11 = sF16
    | sk_c11 = sF28 ),
    inference(definition_folding,[],[f56,f147,f87]) ).

fof(f56,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_53) ).

fof(f274,plain,
    ( spl29_16
    | spl29_3 ),
    inference(avatar_split_clause,[],[f149,f169,f270]) ).

fof(f149,plain,
    ( sk_c5 = sF15
    | sk_c11 = sF28 ),
    inference(definition_folding,[],[f55,f147,f85]) ).

fof(f55,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_52) ).

fof(f273,plain,
    ( spl29_16
    | spl29_2 ),
    inference(avatar_split_clause,[],[f148,f164,f270]) ).

fof(f148,plain,
    ( sk_c11 = sF13
    | sk_c11 = sF28 ),
    inference(definition_folding,[],[f54,f147,f82]) ).

fof(f54,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c11 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_51) ).

fof(f263,plain,
    ( spl29_15
    | spl29_6 ),
    inference(avatar_split_clause,[],[f141,f184,f256]) ).

fof(f141,plain,
    ( sk_c11 = sF18
    | sk_c3 = sF27 ),
    inference(definition_folding,[],[f48,f136,f91]) ).

fof(f48,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).

fof(f262,plain,
    ( spl29_15
    | spl29_5 ),
    inference(avatar_split_clause,[],[f140,f179,f256]) ).

fof(f140,plain,
    ( sk_c11 = sF17
    | sk_c3 = sF27 ),
    inference(definition_folding,[],[f47,f136,f89]) ).

fof(f47,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).

fof(f261,plain,
    ( spl29_15
    | spl29_4 ),
    inference(avatar_split_clause,[],[f139,f174,f256]) ).

fof(f139,plain,
    ( sk_c11 = sF16
    | sk_c3 = sF27 ),
    inference(definition_folding,[],[f46,f136,f87]) ).

fof(f46,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).

fof(f260,plain,
    ( spl29_15
    | spl29_3 ),
    inference(avatar_split_clause,[],[f138,f169,f256]) ).

fof(f138,plain,
    ( sk_c5 = sF15
    | sk_c3 = sF27 ),
    inference(definition_folding,[],[f45,f136,f85]) ).

fof(f45,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).

fof(f259,plain,
    ( spl29_15
    | spl29_2 ),
    inference(avatar_split_clause,[],[f137,f164,f256]) ).

fof(f137,plain,
    ( sk_c11 = sF13
    | sk_c3 = sF27 ),
    inference(definition_folding,[],[f44,f136,f82]) ).

fof(f44,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).

fof(f249,plain,
    ( spl29_14
    | spl29_6 ),
    inference(avatar_split_clause,[],[f130,f184,f242]) ).

fof(f130,plain,
    ( sk_c11 = sF18
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f38,f125,f91]) ).

fof(f38,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f248,plain,
    ( spl29_14
    | spl29_5 ),
    inference(avatar_split_clause,[],[f129,f179,f242]) ).

fof(f129,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f37,f125,f89]) ).

fof(f37,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f247,plain,
    ( spl29_14
    | spl29_4 ),
    inference(avatar_split_clause,[],[f128,f174,f242]) ).

fof(f128,plain,
    ( sk_c11 = sF16
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f36,f125,f87]) ).

fof(f36,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f246,plain,
    ( spl29_14
    | spl29_3 ),
    inference(avatar_split_clause,[],[f127,f169,f242]) ).

fof(f127,plain,
    ( sk_c5 = sF15
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f35,f125,f85]) ).

fof(f35,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f245,plain,
    ( spl29_14
    | spl29_2 ),
    inference(avatar_split_clause,[],[f126,f164,f242]) ).

fof(f126,plain,
    ( sk_c11 = sF13
    | sk_c10 = sF26 ),
    inference(definition_folding,[],[f34,f125,f82]) ).

fof(f34,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c10 = multiply(sk_c11,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f238,plain,
    ( spl29_13
    | spl29_9 ),
    inference(avatar_split_clause,[],[f122,f199,f228]) ).

fof(f122,plain,
    ( sk_c10 = sF21
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f31,f114,f97]) ).

fof(f31,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f237,plain,
    ( spl29_13
    | spl29_8 ),
    inference(avatar_split_clause,[],[f121,f194,f228]) ).

fof(f121,plain,
    ( sk_c8 = sF20
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f30,f114,f95]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f236,plain,
    ( spl29_13
    | spl29_7 ),
    inference(avatar_split_clause,[],[f120,f189,f228]) ).

fof(f120,plain,
    ( sk_c10 = sF19
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f29,f114,f93]) ).

fof(f29,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f235,plain,
    ( spl29_13
    | spl29_6 ),
    inference(avatar_split_clause,[],[f119,f184,f228]) ).

fof(f119,plain,
    ( sk_c11 = sF18
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f28,f114,f91]) ).

fof(f28,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f234,plain,
    ( spl29_13
    | spl29_5 ),
    inference(avatar_split_clause,[],[f118,f179,f228]) ).

fof(f118,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f27,f114,f89]) ).

fof(f27,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f233,plain,
    ( spl29_13
    | spl29_4 ),
    inference(avatar_split_clause,[],[f117,f174,f228]) ).

fof(f117,plain,
    ( sk_c11 = sF16
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f26,f114,f87]) ).

fof(f26,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f232,plain,
    ( spl29_13
    | spl29_3 ),
    inference(avatar_split_clause,[],[f116,f169,f228]) ).

fof(f116,plain,
    ( sk_c5 = sF15
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f25,f114,f85]) ).

fof(f25,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f231,plain,
    ( spl29_13
    | spl29_2 ),
    inference(avatar_split_clause,[],[f115,f164,f228]) ).

fof(f115,plain,
    ( sk_c11 = sF13
    | sk_c11 = sF25 ),
    inference(definition_folding,[],[f24,f114,f82]) ).

fof(f24,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f221,plain,
    ( spl29_12
    | spl29_6 ),
    inference(avatar_split_clause,[],[f108,f184,f214]) ).

fof(f108,plain,
    ( sk_c11 = sF18
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f18,f103,f91]) ).

fof(f18,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f220,plain,
    ( spl29_12
    | spl29_5 ),
    inference(avatar_split_clause,[],[f107,f179,f214]) ).

fof(f107,plain,
    ( sk_c11 = sF17
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f17,f103,f89]) ).

fof(f17,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f219,plain,
    ( spl29_12
    | spl29_4 ),
    inference(avatar_split_clause,[],[f106,f174,f214]) ).

fof(f106,plain,
    ( sk_c11 = sF16
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f16,f103,f87]) ).

fof(f16,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f218,plain,
    ( spl29_12
    | spl29_3 ),
    inference(avatar_split_clause,[],[f105,f169,f214]) ).

fof(f105,plain,
    ( sk_c5 = sF15
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f15,f103,f85]) ).

fof(f15,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f217,plain,
    ( spl29_12
    | spl29_2 ),
    inference(avatar_split_clause,[],[f104,f164,f214]) ).

fof(f104,plain,
    ( sk_c11 = sF13
    | sk_c11 = sF24 ),
    inference(definition_folding,[],[f14,f103,f82]) ).

fof(f14,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f187,plain,
    ( spl29_1
    | spl29_6 ),
    inference(avatar_split_clause,[],[f92,f184,f160]) ).

fof(f92,plain,
    ( sk_c11 = sF18
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f8,f83,f91]) ).

fof(f8,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f182,plain,
    ( spl29_1
    | spl29_5 ),
    inference(avatar_split_clause,[],[f90,f179,f160]) ).

fof(f90,plain,
    ( sk_c11 = sF17
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f7,f83,f89]) ).

fof(f7,axiom,
    ( sk_c11 = inverse(sk_c6)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f177,plain,
    ( spl29_1
    | spl29_4 ),
    inference(avatar_split_clause,[],[f88,f174,f160]) ).

fof(f88,plain,
    ( sk_c11 = sF16
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f6,f83,f87]) ).

fof(f6,axiom,
    ( sk_c11 = multiply(sk_c5,sk_c10)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f172,plain,
    ( spl29_1
    | spl29_3 ),
    inference(avatar_split_clause,[],[f86,f169,f160]) ).

fof(f86,plain,
    ( sk_c5 = sF15
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f5,f83,f85]) ).

fof(f5,axiom,
    ( sk_c5 = inverse(sk_c4)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f167,plain,
    ( spl29_1
    | spl29_2 ),
    inference(avatar_split_clause,[],[f84,f164,f160]) ).

fof(f84,plain,
    ( sk_c11 = sF13
    | sk_c10 = sF14 ),
    inference(definition_folding,[],[f4,f83,f82]) ).

fof(f4,axiom,
    ( sk_c11 = multiply(sk_c4,sk_c5)
    | inverse(sk_c11) = sk_c10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP238-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n012.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sun May 19 04:38:08 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.75  % (1708)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.58/0.75  % (1698)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.58/0.75  % (1700)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.58/0.75  % (1699)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.58/0.75  % (1701)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.58/0.75  % (1702)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.58/0.75  % (1704)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.58/0.75  % (1707)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.58/0.75  % (1708)Refutation not found, incomplete strategy% (1708)------------------------------
% 0.58/0.75  % (1708)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (1708)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (1708)Memory used [KB]: 1099
% 0.58/0.75  % (1708)Time elapsed: 0.002 s
% 0.58/0.75  % (1708)Instructions burned: 5 (million)
% 0.58/0.75  % (1708)------------------------------
% 0.58/0.75  % (1708)------------------------------
% 0.58/0.75  % (1698)Refutation not found, incomplete strategy% (1698)------------------------------
% 0.58/0.75  % (1698)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (1698)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (1701)Refutation not found, incomplete strategy% (1701)------------------------------
% 0.58/0.75  % (1701)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (1701)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (1701)Memory used [KB]: 1029
% 0.58/0.75  % (1701)Time elapsed: 0.004 s
% 0.58/0.75  % (1701)Instructions burned: 5 (million)
% 0.58/0.75  % (1698)Memory used [KB]: 1114
% 0.58/0.75  % (1698)Time elapsed: 0.004 s
% 0.58/0.75  % (1698)Instructions burned: 5 (million)
% 0.58/0.75  % (1701)------------------------------
% 0.58/0.75  % (1701)------------------------------
% 0.58/0.75  % (1702)Refutation not found, incomplete strategy% (1702)------------------------------
% 0.58/0.75  % (1702)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (1698)------------------------------
% 0.58/0.75  % (1698)------------------------------
% 0.58/0.75  % (1702)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (1702)Memory used [KB]: 1115
% 0.58/0.75  % (1709)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.58/0.75  % (1702)Time elapsed: 0.004 s
% 0.58/0.75  % (1702)Instructions burned: 6 (million)
% 0.58/0.75  % (1702)------------------------------
% 0.58/0.75  % (1702)------------------------------
% 0.58/0.75  % (1700)Refutation not found, incomplete strategy% (1700)------------------------------
% 0.58/0.75  % (1700)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (1700)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.75  
% 0.58/0.75  % (1700)Memory used [KB]: 1106
% 0.58/0.75  % (1700)Time elapsed: 0.006 s
% 0.58/0.75  % (1700)Instructions burned: 8 (million)
% 0.58/0.76  % (1700)------------------------------
% 0.58/0.76  % (1700)------------------------------
% 0.58/0.76  % (1707)Refutation not found, incomplete strategy% (1707)------------------------------
% 0.58/0.76  % (1707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1707)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1707)Memory used [KB]: 1124
% 0.58/0.76  % (1707)Time elapsed: 0.007 s
% 0.58/0.76  % (1707)Instructions burned: 9 (million)
% 0.58/0.76  % (1709)Refutation not found, incomplete strategy% (1709)------------------------------
% 0.58/0.76  % (1709)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.76  % (1709)Termination reason: Refutation not found, incomplete strategy
% 0.58/0.76  
% 0.58/0.76  % (1709)Memory used [KB]: 1106
% 0.58/0.76  % (1709)Time elapsed: 0.003 s
% 0.58/0.76  % (1709)Instructions burned: 8 (million)
% 0.58/0.76  % (1707)------------------------------
% 0.58/0.76  % (1707)------------------------------
% 0.58/0.76  % (1709)------------------------------
% 0.58/0.76  % (1709)------------------------------
% 0.58/0.76  % (1711)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.58/0.76  % (1710)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.58/0.76  % (1712)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.63/0.76  % (1714)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2996ds/42Mi)
% 0.63/0.76  % (1713)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.63/0.76  % (1714)Refutation not found, incomplete strategy% (1714)------------------------------
% 0.63/0.76  % (1714)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (1714)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (1714)Memory used [KB]: 1117
% 0.63/0.76  % (1714)Time elapsed: 0.002 s
% 0.63/0.76  % (1714)Instructions burned: 5 (million)
% 0.63/0.76  % (1715)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2996ds/243Mi)
% 0.63/0.76  % (1714)------------------------------
% 0.63/0.76  % (1714)------------------------------
% 0.63/0.76  % (1710)Refutation not found, incomplete strategy% (1710)------------------------------
% 0.63/0.76  % (1710)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (1710)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (1710)Memory used [KB]: 1083
% 0.63/0.76  % (1710)Time elapsed: 0.006 s
% 0.63/0.76  % (1710)Instructions burned: 10 (million)
% 0.63/0.76  % (1712)Refutation not found, incomplete strategy% (1712)------------------------------
% 0.63/0.76  % (1712)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (1712)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (1712)Memory used [KB]: 1106
% 0.63/0.76  % (1712)Time elapsed: 0.006 s
% 0.63/0.76  % (1712)Instructions burned: 8 (million)
% 0.63/0.76  % (1710)------------------------------
% 0.63/0.76  % (1710)------------------------------
% 0.63/0.76  % (1712)------------------------------
% 0.63/0.76  % (1712)------------------------------
% 0.63/0.76  % (1716)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2996ds/117Mi)
% 0.63/0.76  % (1716)Refutation not found, incomplete strategy% (1716)------------------------------
% 0.63/0.76  % (1716)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.76  % (1716)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.76  
% 0.63/0.76  % (1716)Memory used [KB]: 1036
% 0.63/0.76  % (1716)Time elapsed: 0.002 s
% 0.63/0.76  % (1716)Instructions burned: 5 (million)
% 0.63/0.77  % (1716)------------------------------
% 0.63/0.77  % (1716)------------------------------
% 0.63/0.77  % (1717)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2996ds/143Mi)
% 0.63/0.77  % (1719)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2996ds/93Mi)
% 0.63/0.77  % (1721)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2996ds/62Mi)
% 0.63/0.77  % (1721)Refutation not found, incomplete strategy% (1721)------------------------------
% 0.63/0.77  % (1721)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (1721)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (1721)Memory used [KB]: 1035
% 0.63/0.77  % (1721)Time elapsed: 0.002 s
% 0.63/0.77  % (1721)Instructions burned: 4 (million)
% 0.63/0.77  % (1721)------------------------------
% 0.63/0.77  % (1721)------------------------------
% 0.63/0.77  % (1717)Refutation not found, incomplete strategy% (1717)------------------------------
% 0.63/0.77  % (1717)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (1717)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (1717)Memory used [KB]: 1116
% 0.63/0.77  % (1717)Time elapsed: 0.005 s
% 0.63/0.77  % (1717)Instructions burned: 5 (million)
% 0.63/0.77  % (1717)------------------------------
% 0.63/0.77  % (1717)------------------------------
% 0.63/0.77  % (1715)Refutation not found, incomplete strategy% (1715)------------------------------
% 0.63/0.77  % (1715)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (1715)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (1715)Memory used [KB]: 1195
% 0.63/0.77  % (1715)Time elapsed: 0.012 s
% 0.63/0.77  % (1715)Instructions burned: 19 (million)
% 0.63/0.77  % (1715)------------------------------
% 0.63/0.77  % (1715)------------------------------
% 0.63/0.77  % (1722)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2996ds/32Mi)
% 0.63/0.77  % (1704)Instruction limit reached!
% 0.63/0.77  % (1704)------------------------------
% 0.63/0.77  % (1704)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (1704)Termination reason: Unknown
% 0.63/0.77  % (1704)Termination phase: Saturation
% 0.63/0.77  
% 0.63/0.77  % (1704)Memory used [KB]: 1669
% 0.63/0.77  % (1704)Time elapsed: 0.023 s
% 0.63/0.77  % (1704)Instructions burned: 45 (million)
% 0.63/0.77  % (1704)------------------------------
% 0.63/0.77  % (1704)------------------------------
% 0.63/0.77  % (1723)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2996ds/1919Mi)
% 0.63/0.77  % (1722)Refutation not found, incomplete strategy% (1722)------------------------------
% 0.63/0.77  % (1722)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.77  % (1722)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.77  
% 0.63/0.77  % (1722)Memory used [KB]: 1118
% 0.63/0.77  % (1722)Time elapsed: 0.004 s
% 0.63/0.77  % (1722)Instructions burned: 9 (million)
% 0.63/0.77  % (1722)------------------------------
% 0.63/0.77  % (1722)------------------------------
% 0.63/0.78  % (1724)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2996ds/55Mi)
% 0.63/0.78  % (1725)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2996ds/53Mi)
% 0.63/0.78  % (1699)Instruction limit reached!
% 0.63/0.78  % (1699)------------------------------
% 0.63/0.78  % (1699)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (1699)Termination reason: Unknown
% 0.63/0.78  % (1699)Termination phase: Saturation
% 0.63/0.78  
% 0.63/0.78  % (1699)Memory used [KB]: 1799
% 0.63/0.78  % (1699)Time elapsed: 0.028 s
% 0.63/0.78  % (1699)Instructions burned: 52 (million)
% 0.63/0.78  % (1699)------------------------------
% 0.63/0.78  % (1699)------------------------------
% 0.63/0.78  % (1726)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2996ds/46Mi)
% 0.63/0.78  % (1726)Refutation not found, incomplete strategy% (1726)------------------------------
% 0.63/0.78  % (1726)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (1726)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (1726)Memory used [KB]: 1109
% 0.63/0.78  % (1726)Time elapsed: 0.002 s
% 0.63/0.78  % (1723)Refutation not found, incomplete strategy% (1723)------------------------------
% 0.63/0.78  % (1723)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (1723)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (1723)Memory used [KB]: 1106
% 0.63/0.78  % (1723)Time elapsed: 0.007 s
% 0.63/0.78  % (1723)Instructions burned: 8 (million)
% 0.63/0.78  % (1726)Instructions burned: 5 (million)
% 0.63/0.78  % (1726)------------------------------
% 0.63/0.78  % (1726)------------------------------
% 0.63/0.78  % (1723)------------------------------
% 0.63/0.78  % (1723)------------------------------
% 0.63/0.78  % (1724)Refutation not found, incomplete strategy% (1724)------------------------------
% 0.63/0.78  % (1724)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.78  % (1724)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.78  
% 0.63/0.78  % (1724)Memory used [KB]: 1127
% 0.63/0.78  % (1724)Time elapsed: 0.005 s
% 0.63/0.78  % (1724)Instructions burned: 7 (million)
% 0.63/0.78  % (1724)------------------------------
% 0.63/0.78  % (1724)------------------------------
% 0.63/0.78  % (1727)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2995ds/102Mi)
% 0.63/0.78  % (1728)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2995ds/35Mi)
% 0.63/0.78  % (1729)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.63/0.78  % (1730)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2995ds/109Mi)
% 0.63/0.79  % (1727)Refutation not found, incomplete strategy% (1727)------------------------------
% 0.63/0.79  % (1727)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (1727)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (1727)Memory used [KB]: 1118
% 0.63/0.79  % (1727)Time elapsed: 0.006 s
% 0.63/0.79  % (1727)Instructions burned: 9 (million)
% 0.63/0.79  % (1727)------------------------------
% 0.63/0.79  % (1727)------------------------------
% 0.63/0.79  % (1731)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2995ds/161Mi)
% 0.63/0.79  % (1728)Instruction limit reached!
% 0.63/0.79  % (1728)------------------------------
% 0.63/0.79  % (1728)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (1728)Termination reason: Unknown
% 0.63/0.79  % (1728)Termination phase: Saturation
% 0.63/0.79  
% 0.63/0.79  % (1728)Memory used [KB]: 1198
% 0.63/0.79  % (1728)Time elapsed: 0.011 s
% 0.63/0.79  % (1728)Instructions burned: 38 (million)
% 0.63/0.79  % (1728)------------------------------
% 0.63/0.79  % (1728)------------------------------
% 0.63/0.79  % (1731)Refutation not found, incomplete strategy% (1731)------------------------------
% 0.63/0.79  % (1731)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.79  % (1731)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.79  
% 0.63/0.79  % (1731)Memory used [KB]: 1026
% 0.63/0.79  % (1731)Time elapsed: 0.005 s
% 0.63/0.79  % (1731)Instructions burned: 5 (million)
% 0.63/0.79  % (1732)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2995ds/69Mi)
% 0.63/0.79  % (1731)------------------------------
% 0.63/0.79  % (1731)------------------------------
% 0.63/0.80  % (1732)Refutation not found, incomplete strategy% (1732)------------------------------
% 0.63/0.80  % (1732)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (1732)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.80  
% 0.63/0.80  % (1732)Memory used [KB]: 1131
% 0.63/0.80  % (1732)Time elapsed: 0.003 s
% 0.63/0.80  % (1732)Instructions burned: 6 (million)
% 0.63/0.80  % (1732)------------------------------
% 0.63/0.80  % (1732)------------------------------
% 0.63/0.80  % (1733)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2995ds/40Mi)
% 0.63/0.80  % (1734)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2995ds/360Mi)
% 0.63/0.80  % (1725)Instruction limit reached!
% 0.63/0.80  % (1725)------------------------------
% 0.63/0.80  % (1725)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.63/0.80  % (1725)Termination reason: Unknown
% 0.63/0.80  % (1725)Termination phase: Saturation
% 0.63/0.80  
% 0.63/0.80  % (1725)Memory used [KB]: 1201
% 0.63/0.80  % (1725)Time elapsed: 0.026 s
% 0.63/0.80  % (1725)Instructions burned: 54 (million)
% 0.63/0.80  % (1725)------------------------------
% 0.63/0.80  % (1725)------------------------------
% 0.63/0.80  % (1735)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 0.82/0.81  % (1719)Instruction limit reached!
% 0.82/0.81  % (1719)------------------------------
% 0.82/0.81  % (1719)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.81  % (1719)Termination reason: Unknown
% 0.82/0.81  % (1719)Termination phase: Saturation
% 0.82/0.81  
% 0.82/0.81  % (1719)Memory used [KB]: 2281
% 0.82/0.81  % (1719)Time elapsed: 0.049 s
% 0.82/0.81  % (1719)Instructions burned: 93 (million)
% 0.82/0.81  % (1719)------------------------------
% 0.82/0.81  % (1719)------------------------------
% 0.82/0.82  % (1736)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.82/0.82  % (1733)Instruction limit reached!
% 0.82/0.82  % (1733)------------------------------
% 0.82/0.82  % (1733)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.82  % (1733)Termination reason: Unknown
% 0.82/0.82  % (1733)Termination phase: Saturation
% 0.82/0.82  
% 0.82/0.82  % (1733)Memory used [KB]: 1542
% 0.82/0.82  % (1733)Time elapsed: 0.023 s
% 0.82/0.82  % (1733)Instructions burned: 40 (million)
% 0.82/0.82  % (1733)------------------------------
% 0.82/0.82  % (1733)------------------------------
% 0.82/0.82  % (1729)Instruction limit reached!
% 0.82/0.82  % (1729)------------------------------
% 0.82/0.82  % (1729)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.82  % (1729)Termination reason: Unknown
% 0.82/0.82  % (1729)Termination phase: Saturation
% 0.82/0.82  
% 0.82/0.82  % (1729)Memory used [KB]: 1487
% 0.82/0.82  % (1729)Time elapsed: 0.061 s
% 0.82/0.82  % (1729)Instructions burned: 87 (million)
% 0.82/0.82  % (1729)------------------------------
% 0.82/0.82  % (1729)------------------------------
% 0.82/0.82  % (1737)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 0.82/0.82  % (1738)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2995ds/55Mi)
% 0.82/0.83  % (1734)First to succeed.
% 0.82/0.83  % (1734)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1622"
% 0.82/0.83  % (1734)Refutation found. Thanks to Tanya!
% 0.82/0.83  % SZS status Unsatisfiable for theBenchmark
% 0.82/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.84  % (1734)------------------------------
% 0.82/0.84  % (1734)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.82/0.84  % (1734)Termination reason: Refutation
% 0.82/0.84  
% 0.82/0.84  % (1734)Memory used [KB]: 1614
% 0.82/0.84  % (1734)Time elapsed: 0.034 s
% 0.82/0.84  % (1734)Instructions burned: 108 (million)
% 0.82/0.84  % (1622)Success in time 0.472 s
% 0.82/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------