TSTP Solution File: GRP280-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP280-1 : TPTP v8.1.2. 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 : n028.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:22 EDT 2024

% Result   : Unsatisfiable 1.13s 1.03s
% Output   : Refutation 1.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   80
% Syntax   : Number of formulae    :  318 (  29 unt;   0 def)
%            Number of atoms       : 1160 ( 268 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives : 1528 ( 686   ~; 823   |;   0   &)
%                                         (  19 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   31 (  29 usr;  20 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  22 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f866,plain,
    $false,
    inference(avatar_sat_refutation,[],[f112,f117,f122,f127,f132,f137,f143,f144,f145,f146,f147,f152,f153,f154,f155,f156,f157,f162,f163,f164,f165,f166,f167,f172,f173,f174,f175,f176,f177,f182,f183,f184,f185,f186,f187,f208,f357,f392,f422,f462,f499,f524,f642,f690,f725,f794,f806,f841,f845,f863]) ).

fof(f863,plain,
    ( ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_14 ),
    inference(avatar_contradiction_clause,[],[f862]) ).

fof(f862,plain,
    ( $false
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f861,f568]) ).

fof(f568,plain,
    ( ~ sP8(sk_c9)
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f49,f565]) ).

fof(f565,plain,
    ( sk_c9 = sk_c8
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f563,f532]) ).

fof(f532,plain,
    ( sk_c8 = multiply(sk_c9,sk_c3)
    | ~ spl22_10 ),
    inference(backward_demodulation,[],[f81,f161]) ).

fof(f161,plain,
    ( sk_c8 = sF19
    | ~ spl22_10 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl22_10
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_10])]) ).

fof(f81,plain,
    multiply(sk_c9,sk_c3) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f563,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(superposition,[],[f553,f528]) ).

fof(f528,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl22_11 ),
    inference(backward_demodulation,[],[f88,f171]) ).

fof(f171,plain,
    ( sk_c3 = sF20
    | ~ spl22_11 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl22_11
  <=> sk_c3 = sF20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_11])]) ).

fof(f88,plain,
    multiply(sk_c2,sk_c9) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f553,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f552,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',left_identity) ).

fof(f552,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl22_12 ),
    inference(superposition,[],[f3,f525]) ).

fof(f525,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f218,f181]) ).

fof(f181,plain,
    ( sk_c9 = sF21
    | ~ spl22_12 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f179,plain,
    ( spl22_12
  <=> sk_c9 = sF21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_12])]) ).

fof(f218,plain,
    identity = multiply(sF21,sk_c2),
    inference(superposition,[],[f2,f95]) ).

fof(f95,plain,
    inverse(sk_c2) = sF21,
    introduced(function_definition,[new_symbols(definition,[sF21])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',associativity) ).

fof(f49,plain,
    ~ sP8(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f861,plain,
    ( sP8(sk_c9)
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f860,f579]) ).

fof(f579,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl22_8
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f536,f565]) ).

fof(f536,plain,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | ~ spl22_8 ),
    inference(backward_demodulation,[],[f67,f141]) ).

fof(f141,plain,
    ( sk_c8 = sF17
    | ~ spl22_8 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f139,plain,
    ( spl22_8
  <=> sk_c8 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_8])]) ).

fof(f67,plain,
    multiply(sk_c1,sk_c9) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f860,plain,
    ( sP8(multiply(sk_c1,sk_c9))
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f848,f48]) ).

fof(f48,plain,
    ~ sP7(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f848,plain,
    ( sP7(sk_c9)
    | sP8(multiply(sk_c1,sk_c9))
    | ~ spl22_9
    | ~ spl22_14 ),
    inference(superposition,[],[f194,f534]) ).

fof(f534,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f74,f151]) ).

fof(f151,plain,
    ( sk_c9 = sF18
    | ~ spl22_9 ),
    inference(avatar_component_clause,[],[f149]) ).

fof(f149,plain,
    ( spl22_9
  <=> sk_c9 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_9])]) ).

fof(f74,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f194,plain,
    ( ! [X3] :
        ( sP7(inverse(X3))
        | sP8(multiply(X3,sk_c9)) )
    | ~ spl22_14 ),
    inference(avatar_component_clause,[],[f193]) ).

fof(f193,plain,
    ( spl22_14
  <=> ! [X3] :
        ( sP7(inverse(X3))
        | sP8(multiply(X3,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_14])]) ).

fof(f845,plain,
    ( ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_13 ),
    inference(avatar_contradiction_clause,[],[f844]) ).

fof(f844,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f843,f842]) ).

fof(f842,plain,
    ( ~ sP9(sk_c9)
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f539,f670]) ).

fof(f670,plain,
    ( sk_c9 = sk_c7
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f667,f580]) ).

fof(f580,plain,
    ( sk_c7 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f537,f565]) ).

fof(f537,plain,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f55,f107]) ).

fof(f107,plain,
    ( sk_c7 = sF11
    | ~ spl22_1 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl22_1
  <=> sk_c7 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).

fof(f55,plain,
    multiply(sk_c9,sk_c8) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f667,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(superposition,[],[f555,f579]) ).

fof(f555,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl22_9 ),
    inference(forward_demodulation,[],[f554,f1]) ).

fof(f554,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl22_9 ),
    inference(superposition,[],[f3,f533]) ).

fof(f533,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl22_9 ),
    inference(backward_demodulation,[],[f217,f151]) ).

fof(f217,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f74]) ).

fof(f539,plain,
    ( ~ sP9(sk_c7)
    | ~ spl22_1 ),
    inference(backward_demodulation,[],[f102,f107]) ).

fof(f102,plain,
    ~ sP9(sF11),
    inference(definition_folding,[],[f50,f55]) ).

fof(f50,plain,
    ~ sP9(multiply(sk_c9,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP9])]) ).

fof(f843,plain,
    ( sP9(sk_c9)
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_13 ),
    inference(forward_demodulation,[],[f191,f670]) ).

fof(f191,plain,
    ( sP9(sk_c7)
    | ~ spl22_13 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f189,plain,
    ( spl22_13
  <=> sP9(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_13])]) ).

fof(f841,plain,
    ( ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_15 ),
    inference(avatar_contradiction_clause,[],[f840]) ).

fof(f840,plain,
    ( $false
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f839,f567]) ).

fof(f567,plain,
    ( ~ sP6(sk_c9)
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f47,f565]) ).

fof(f47,plain,
    ~ sP6(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f839,plain,
    ( sP6(sk_c9)
    | ~ spl22_12
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f838,f553]) ).

fof(f838,plain,
    ( sP6(multiply(sk_c9,multiply(sk_c2,sk_c9)))
    | ~ spl22_12
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f823,f46]) ).

fof(f46,plain,
    ~ sP5(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f823,plain,
    ( sP5(sk_c9)
    | sP6(multiply(sk_c9,multiply(sk_c2,sk_c9)))
    | ~ spl22_12
    | ~ spl22_15 ),
    inference(superposition,[],[f197,f526]) ).

fof(f526,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f95,f181]) ).

fof(f197,plain,
    ( ! [X5] :
        ( sP5(inverse(X5))
        | sP6(multiply(sk_c9,multiply(X5,sk_c9))) )
    | ~ spl22_15 ),
    inference(avatar_component_clause,[],[f196]) ).

fof(f196,plain,
    ( spl22_15
  <=> ! [X5] :
        ( sP5(inverse(X5))
        | sP6(multiply(sk_c9,multiply(X5,sk_c9))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_15])]) ).

fof(f806,plain,
    ( ~ spl22_1
    | ~ spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_44 ),
    inference(avatar_contradiction_clause,[],[f805]) ).

fof(f805,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_44 ),
    inference(subsumption_resolution,[],[f804,f43]) ).

fof(f43,plain,
    ~ sP2(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f804,plain,
    ( sP2(sk_c9)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_44 ),
    inference(forward_demodulation,[],[f786,f802]) ).

fof(f802,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f672,f800]) ).

fof(f800,plain,
    ( sk_c9 = sF10
    | ~ spl22_2
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f111,f565]) ).

fof(f111,plain,
    ( sk_c8 = sF10
    | ~ spl22_2 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl22_2
  <=> sk_c8 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).

fof(f672,plain,
    ( sF10 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f54,f670]) ).

fof(f54,plain,
    multiply(sk_c9,sk_c7) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f786,plain,
    ( sP2(multiply(sk_c9,sk_c9))
    | ~ spl22_44 ),
    inference(avatar_component_clause,[],[f784]) ).

fof(f784,plain,
    ( spl22_44
  <=> sP2(multiply(sk_c9,sk_c9)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_44])]) ).

fof(f794,plain,
    ( spl22_44
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_17 ),
    inference(avatar_split_clause,[],[f793,f203,f179,f169,f159,f149,f139,f784]) ).

fof(f203,plain,
    ( spl22_17
  <=> ! [X6] :
        ( sP2(multiply(inverse(X6),sk_c8))
        | sP3(multiply(X6,inverse(X6))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_17])]) ).

fof(f793,plain,
    ( sP2(multiply(sk_c9,sk_c9))
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f792,f44]) ).

fof(f44,plain,
    ~ sP3(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f792,plain,
    ( sP3(sk_c9)
    | sP2(multiply(sk_c9,sk_c9))
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f745,f579]) ).

fof(f745,plain,
    ( sP2(multiply(sk_c9,sk_c9))
    | sP3(multiply(sk_c1,sk_c9))
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_17 ),
    inference(superposition,[],[f728,f534]) ).

fof(f728,plain,
    ( ! [X6] :
        ( sP2(multiply(inverse(X6),sk_c9))
        | sP3(multiply(X6,inverse(X6))) )
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f204,f565]) ).

fof(f204,plain,
    ( ! [X6] :
        ( sP2(multiply(inverse(X6),sk_c8))
        | sP3(multiply(X6,inverse(X6))) )
    | ~ spl22_17 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f725,plain,
    ( ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_18 ),
    inference(avatar_contradiction_clause,[],[f724]) ).

fof(f724,plain,
    ( $false
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f723,f671]) ).

fof(f671,plain,
    ( ~ sP1(sk_c9)
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f42,f670]) ).

fof(f42,plain,
    ~ sP1(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f723,plain,
    ( sP1(sk_c9)
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f722,f579]) ).

fof(f722,plain,
    ( sP1(multiply(sk_c1,sk_c9))
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f709,f41]) ).

fof(f41,plain,
    ~ sP0(sk_c9),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f709,plain,
    ( sP0(sk_c9)
    | sP1(multiply(sk_c1,sk_c9))
    | ~ spl22_9
    | ~ spl22_18 ),
    inference(superposition,[],[f207,f534]) ).

fof(f207,plain,
    ( ! [X8] :
        ( sP0(inverse(X8))
        | sP1(multiply(X8,sk_c9)) )
    | ~ spl22_18 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f206,plain,
    ( spl22_18
  <=> ! [X8] :
        ( sP0(inverse(X8))
        | sP1(multiply(X8,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_18])]) ).

fof(f690,plain,
    ( ~ spl22_1
    | spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(avatar_contradiction_clause,[],[f689]) ).

fof(f689,plain,
    ( $false
    | ~ spl22_1
    | spl22_2
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(subsumption_resolution,[],[f688,f569]) ).

fof(f569,plain,
    ( sk_c9 != sF10
    | spl22_2
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f110,f565]) ).

fof(f110,plain,
    ( sk_c8 != sF10
    | spl22_2 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f688,plain,
    ( sk_c9 = sF10
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f678,f672]) ).

fof(f678,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_8
    | ~ spl22_9
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f580,f670]) ).

fof(f642,plain,
    ( ~ spl22_1
    | spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(avatar_contradiction_clause,[],[f641]) ).

fof(f641,plain,
    ( $false
    | ~ spl22_1
    | spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(subsumption_resolution,[],[f640,f569]) ).

fof(f640,plain,
    ( sk_c9 = sF10
    | ~ spl22_1
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f635,f629]) ).

fof(f629,plain,
    ( sF10 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f54,f627]) ).

fof(f627,plain,
    ( sk_c9 = sk_c7
    | ~ spl22_1
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f626,f213]) ).

fof(f213,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl22_3 ),
    inference(backward_demodulation,[],[f57,f116]) ).

fof(f116,plain,
    ( sk_c9 = sF12
    | ~ spl22_3 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl22_3
  <=> sk_c9 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_3])]) ).

fof(f57,plain,
    multiply(sk_c4,sk_c5) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f626,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl22_1
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(forward_demodulation,[],[f624,f580]) ).

fof(f624,plain,
    ( multiply(sk_c4,sk_c5) = multiply(sk_c9,sk_c9)
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(superposition,[],[f225,f237]) ).

fof(f237,plain,
    ( sk_c5 = multiply(sk_c5,sk_c9)
    | ~ spl22_3
    | ~ spl22_4 ),
    inference(superposition,[],[f234,f213]) ).

fof(f234,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
    | ~ spl22_4 ),
    inference(forward_demodulation,[],[f233,f1]) ).

fof(f233,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
    | ~ spl22_4 ),
    inference(superposition,[],[f3,f215]) ).

fof(f215,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl22_4 ),
    inference(superposition,[],[f2,f212]) ).

fof(f212,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl22_4 ),
    inference(backward_demodulation,[],[f59,f121]) ).

fof(f121,plain,
    ( sk_c5 = sF13
    | ~ spl22_4 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl22_4
  <=> sk_c5 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_4])]) ).

fof(f59,plain,
    inverse(sk_c4) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f225,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c9,X0)
    | ~ spl22_3 ),
    inference(superposition,[],[f3,f213]) ).

fof(f635,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_1
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_10
    | ~ spl22_11
    | ~ spl22_12 ),
    inference(backward_demodulation,[],[f580,f627]) ).

fof(f524,plain,
    ( ~ spl22_2
    | ~ spl22_16 ),
    inference(avatar_contradiction_clause,[],[f523]) ).

fof(f523,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_16 ),
    inference(subsumption_resolution,[],[f522,f45]) ).

fof(f45,plain,
    ~ sP4(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f522,plain,
    ( sP4(sk_c8)
    | ~ spl22_2
    | ~ spl22_16 ),
    inference(forward_demodulation,[],[f201,f111]) ).

fof(f201,plain,
    ( sP4(sF10)
    | ~ spl22_16 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f199,plain,
    ( spl22_16
  <=> sP4(sF10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_16])]) ).

fof(f499,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_18 ),
    inference(avatar_contradiction_clause,[],[f498]) ).

fof(f498,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f497,f352]) ).

fof(f352,plain,
    ( ~ sP1(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f42,f350]) ).

fof(f350,plain,
    ( sk_c9 = sk_c7
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f287,f347]) ).

fof(f347,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f338,f335]) ).

fof(f335,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f329,f251]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sk_c9,X0)
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f222,f243]) ).

fof(f243,plain,
    ( sk_c9 = sk_c8
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f241,f214]) ).

fof(f214,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl22_2 ),
    inference(backward_demodulation,[],[f54,f111]) ).

fof(f241,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(superposition,[],[f236,f210]) ).

fof(f210,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | ~ spl22_6 ),
    inference(backward_demodulation,[],[f63,f131]) ).

fof(f131,plain,
    ( sk_c7 = sF15
    | ~ spl22_6 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f129,plain,
    ( spl22_6
  <=> sk_c7 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_6])]) ).

fof(f63,plain,
    multiply(sk_c6,sk_c9) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f236,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f235,f1]) ).

fof(f235,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | ~ spl22_7 ),
    inference(superposition,[],[f3,f216]) ).

fof(f216,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl22_7 ),
    inference(superposition,[],[f2,f209]) ).

fof(f209,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f65,f136]) ).

fof(f136,plain,
    ( sk_c9 = sF16
    | ~ spl22_7 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl22_7
  <=> sk_c9 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_7])]) ).

fof(f65,plain,
    inverse(sk_c6) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f222,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | ~ spl22_2 ),
    inference(superposition,[],[f3,f214]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f236,f326]) ).

fof(f326,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f279,f316]) ).

fof(f316,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(superposition,[],[f259,f236]) ).

fof(f259,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,multiply(sk_c9,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f225,f254]) ).

fof(f254,plain,
    ( sk_c9 = sk_c5
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f249,f237]) ).

fof(f249,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl22_2
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f211,f243]) ).

fof(f211,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl22_5 ),
    inference(backward_demodulation,[],[f61,f126]) ).

fof(f126,plain,
    ( sk_c9 = sF14
    | ~ spl22_5 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl22_5
  <=> sk_c9 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl22_5])]) ).

fof(f61,plain,
    multiply(sk_c5,sk_c8) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f279,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(superposition,[],[f227,f260]) ).

fof(f260,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f234,f254]) ).

fof(f227,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
    | ~ spl22_6 ),
    inference(superposition,[],[f3,f210]) ).

fof(f338,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c7,X0)) = X0
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f251,f335]) ).

fof(f287,plain,
    ( sk_c7 = multiply(sk_c7,sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f280,f210]) ).

fof(f280,plain,
    ( multiply(sk_c6,sk_c9) = multiply(sk_c7,sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(superposition,[],[f227,f264]) ).

fof(f264,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f247,f263]) ).

fof(f263,plain,
    ( sk_c9 = sF11
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(forward_demodulation,[],[f261,f247]) ).

fof(f261,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f237,f254]) ).

fof(f247,plain,
    ( sF11 = multiply(sk_c9,sk_c9)
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f55,f243]) ).

fof(f497,plain,
    ( sP1(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_18 ),
    inference(forward_demodulation,[],[f496,f1]) ).

fof(f496,plain,
    ( sP1(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_18 ),
    inference(subsumption_resolution,[],[f493,f41]) ).

fof(f493,plain,
    ( sP0(sk_c9)
    | sP1(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_18 ),
    inference(superposition,[],[f207,f362]) ).

fof(f362,plain,
    ( sk_c9 = inverse(identity)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f256,f342]) ).

fof(f342,plain,
    ( identity = sk_c4
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f258,f335]) ).

fof(f258,plain,
    ( identity = multiply(sk_c9,sk_c4)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f215,f254]) ).

fof(f256,plain,
    ( sk_c9 = inverse(sk_c4)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f212,f254]) ).

fof(f462,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(avatar_contradiction_clause,[],[f461]) ).

fof(f461,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f460,f44]) ).

fof(f460,plain,
    ( sP3(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f459,f1]) ).

fof(f459,plain,
    ( sP3(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(subsumption_resolution,[],[f458,f43]) ).

fof(f458,plain,
    ( sP2(sk_c9)
    | sP3(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f454,f335]) ).

fof(f454,plain,
    ( sP2(multiply(sk_c9,sk_c9))
    | sP3(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(superposition,[],[f448,f362]) ).

fof(f448,plain,
    ( ! [X6] :
        ( sP2(multiply(inverse(X6),sk_c9))
        | sP3(multiply(X6,inverse(X6))) )
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_17 ),
    inference(forward_demodulation,[],[f204,f243]) ).

fof(f422,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(avatar_contradiction_clause,[],[f421]) ).

fof(f421,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f420,f245]) ).

fof(f245,plain,
    ( ~ sP6(sk_c9)
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f47,f243]) ).

fof(f420,plain,
    ( sP6(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f419,f1]) ).

fof(f419,plain,
    ( sP6(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(subsumption_resolution,[],[f416,f46]) ).

fof(f416,plain,
    ( sP5(sk_c9)
    | sP6(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(superposition,[],[f415,f362]) ).

fof(f415,plain,
    ( ! [X5] :
        ( sP5(inverse(X5))
        | sP6(multiply(X5,sk_c9)) )
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_15 ),
    inference(forward_demodulation,[],[f197,f335]) ).

fof(f392,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_14 ),
    inference(avatar_contradiction_clause,[],[f391]) ).

fof(f391,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f390,f246]) ).

fof(f246,plain,
    ( ~ sP8(sk_c9)
    | ~ spl22_2
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f49,f243]) ).

fof(f390,plain,
    ( sP8(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_14 ),
    inference(forward_demodulation,[],[f389,f1]) ).

fof(f389,plain,
    ( sP8(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_14 ),
    inference(subsumption_resolution,[],[f386,f48]) ).

fof(f386,plain,
    ( sP7(sk_c9)
    | sP8(multiply(identity,sk_c9))
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_14 ),
    inference(superposition,[],[f194,f362]) ).

fof(f357,plain,
    ( ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_13 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_13 ),
    inference(subsumption_resolution,[],[f354,f265]) ).

fof(f265,plain,
    ( ~ sP9(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7 ),
    inference(backward_demodulation,[],[f102,f263]) ).

fof(f354,plain,
    ( sP9(sk_c9)
    | ~ spl22_2
    | ~ spl22_3
    | ~ spl22_4
    | ~ spl22_5
    | ~ spl22_6
    | ~ spl22_7
    | ~ spl22_13 ),
    inference(backward_demodulation,[],[f191,f350]) ).

fof(f208,plain,
    ( spl22_13
    | spl22_14
    | spl22_15
    | spl22_16
    | spl22_17
    | spl22_18 ),
    inference(avatar_split_clause,[],[f103,f206,f203,f199,f196,f193,f189]) ).

fof(f103,plain,
    ! [X3,X8,X6,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(X8,sk_c9))
      | sP2(multiply(inverse(X6),sk_c8))
      | sP3(multiply(X6,inverse(X6)))
      | sP4(sF10)
      | sP5(inverse(X5))
      | sP6(multiply(sk_c9,multiply(X5,sk_c9)))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c9))
      | sP9(sk_c7) ),
    inference(definition_folding,[],[f53,f54]) ).

fof(f53,plain,
    ! [X3,X8,X6,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(X8,sk_c9))
      | sP2(multiply(inverse(X6),sk_c8))
      | sP3(multiply(X6,inverse(X6)))
      | sP4(multiply(sk_c9,sk_c7))
      | sP5(inverse(X5))
      | sP6(multiply(sk_c9,multiply(X5,sk_c9)))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c9))
      | sP9(sk_c7) ),
    inference(equality_resolution,[],[f52]) ).

fof(f52,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(X8,sk_c9))
      | sP2(multiply(inverse(X6),sk_c8))
      | sP3(multiply(X6,inverse(X6)))
      | sP4(multiply(sk_c9,sk_c7))
      | sP5(inverse(X5))
      | multiply(X5,sk_c9) != X4
      | sP6(multiply(sk_c9,X4))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c9))
      | sP9(sk_c7) ),
    inference(equality_resolution,[],[f51]) ).

fof(f51,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(X8,sk_c9))
      | sP2(multiply(X7,sk_c8))
      | inverse(X6) != X7
      | sP3(multiply(X6,X7))
      | sP4(multiply(sk_c9,sk_c7))
      | sP5(inverse(X5))
      | multiply(X5,sk_c9) != X4
      | sP6(multiply(sk_c9,X4))
      | sP7(inverse(X3))
      | sP8(multiply(X3,sk_c9))
      | sP9(sk_c7) ),
    inference(inequality_splitting,[],[f40,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(X7,sk_c8)
      | inverse(X6) != X7
      | sk_c9 != multiply(X6,X7)
      | sk_c8 != multiply(sk_c9,sk_c7)
      | sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | multiply(sk_c9,sk_c8) != sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_37) ).

fof(f187,plain,
    ( spl22_12
    | spl22_7 ),
    inference(avatar_split_clause,[],[f101,f134,f179]) ).

fof(f101,plain,
    ( sk_c9 = sF16
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f39,f95,f65]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_36) ).

fof(f186,plain,
    ( spl22_12
    | spl22_6 ),
    inference(avatar_split_clause,[],[f100,f129,f179]) ).

fof(f100,plain,
    ( sk_c7 = sF15
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f38,f95,f63]) ).

fof(f38,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_35) ).

fof(f185,plain,
    ( spl22_12
    | spl22_5 ),
    inference(avatar_split_clause,[],[f99,f124,f179]) ).

fof(f99,plain,
    ( sk_c9 = sF14
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f37,f95,f61]) ).

fof(f37,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_34) ).

fof(f184,plain,
    ( spl22_12
    | spl22_4 ),
    inference(avatar_split_clause,[],[f98,f119,f179]) ).

fof(f98,plain,
    ( sk_c5 = sF13
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f36,f95,f59]) ).

fof(f36,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_33) ).

fof(f183,plain,
    ( spl22_12
    | spl22_3 ),
    inference(avatar_split_clause,[],[f97,f114,f179]) ).

fof(f97,plain,
    ( sk_c9 = sF12
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f35,f95,f57]) ).

fof(f35,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_32) ).

fof(f182,plain,
    ( spl22_12
    | spl22_2 ),
    inference(avatar_split_clause,[],[f96,f109,f179]) ).

fof(f96,plain,
    ( sk_c8 = sF10
    | sk_c9 = sF21 ),
    inference(definition_folding,[],[f34,f95,f54]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_31) ).

fof(f177,plain,
    ( spl22_11
    | spl22_7 ),
    inference(avatar_split_clause,[],[f94,f134,f169]) ).

fof(f94,plain,
    ( sk_c9 = sF16
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f33,f88,f65]) ).

fof(f33,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_30) ).

fof(f176,plain,
    ( spl22_11
    | spl22_6 ),
    inference(avatar_split_clause,[],[f93,f129,f169]) ).

fof(f93,plain,
    ( sk_c7 = sF15
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f32,f88,f63]) ).

fof(f32,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_29) ).

fof(f175,plain,
    ( spl22_11
    | spl22_5 ),
    inference(avatar_split_clause,[],[f92,f124,f169]) ).

fof(f92,plain,
    ( sk_c9 = sF14
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f31,f88,f61]) ).

fof(f31,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_28) ).

fof(f174,plain,
    ( spl22_11
    | spl22_4 ),
    inference(avatar_split_clause,[],[f91,f119,f169]) ).

fof(f91,plain,
    ( sk_c5 = sF13
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f30,f88,f59]) ).

fof(f30,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_27) ).

fof(f173,plain,
    ( spl22_11
    | spl22_3 ),
    inference(avatar_split_clause,[],[f90,f114,f169]) ).

fof(f90,plain,
    ( sk_c9 = sF12
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f29,f88,f57]) ).

fof(f29,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_26) ).

fof(f172,plain,
    ( spl22_11
    | spl22_2 ),
    inference(avatar_split_clause,[],[f89,f109,f169]) ).

fof(f89,plain,
    ( sk_c8 = sF10
    | sk_c3 = sF20 ),
    inference(definition_folding,[],[f28,f88,f54]) ).

fof(f28,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_25) ).

fof(f167,plain,
    ( spl22_10
    | spl22_7 ),
    inference(avatar_split_clause,[],[f87,f134,f159]) ).

fof(f87,plain,
    ( sk_c9 = sF16
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f27,f81,f65]) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_24) ).

fof(f166,plain,
    ( spl22_10
    | spl22_6 ),
    inference(avatar_split_clause,[],[f86,f129,f159]) ).

fof(f86,plain,
    ( sk_c7 = sF15
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f26,f81,f63]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_23) ).

fof(f165,plain,
    ( spl22_10
    | spl22_5 ),
    inference(avatar_split_clause,[],[f85,f124,f159]) ).

fof(f85,plain,
    ( sk_c9 = sF14
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f25,f81,f61]) ).

fof(f25,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_22) ).

fof(f164,plain,
    ( spl22_10
    | spl22_4 ),
    inference(avatar_split_clause,[],[f84,f119,f159]) ).

fof(f84,plain,
    ( sk_c5 = sF13
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f24,f81,f59]) ).

fof(f24,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_21) ).

fof(f163,plain,
    ( spl22_10
    | spl22_3 ),
    inference(avatar_split_clause,[],[f83,f114,f159]) ).

fof(f83,plain,
    ( sk_c9 = sF12
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f23,f81,f57]) ).

fof(f23,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_20) ).

fof(f162,plain,
    ( spl22_10
    | spl22_2 ),
    inference(avatar_split_clause,[],[f82,f109,f159]) ).

fof(f82,plain,
    ( sk_c8 = sF10
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f22,f81,f54]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_19) ).

fof(f157,plain,
    ( spl22_9
    | spl22_7 ),
    inference(avatar_split_clause,[],[f80,f134,f149]) ).

fof(f80,plain,
    ( sk_c9 = sF16
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f21,f74,f65]) ).

fof(f21,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_18) ).

fof(f156,plain,
    ( spl22_9
    | spl22_6 ),
    inference(avatar_split_clause,[],[f79,f129,f149]) ).

fof(f79,plain,
    ( sk_c7 = sF15
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f20,f74,f63]) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_17) ).

fof(f155,plain,
    ( spl22_9
    | spl22_5 ),
    inference(avatar_split_clause,[],[f78,f124,f149]) ).

fof(f78,plain,
    ( sk_c9 = sF14
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f19,f74,f61]) ).

fof(f19,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_16) ).

fof(f154,plain,
    ( spl22_9
    | spl22_4 ),
    inference(avatar_split_clause,[],[f77,f119,f149]) ).

fof(f77,plain,
    ( sk_c5 = sF13
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f18,f74,f59]) ).

fof(f18,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_15) ).

fof(f153,plain,
    ( spl22_9
    | spl22_3 ),
    inference(avatar_split_clause,[],[f76,f114,f149]) ).

fof(f76,plain,
    ( sk_c9 = sF12
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f17,f74,f57]) ).

fof(f17,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_14) ).

fof(f152,plain,
    ( spl22_9
    | spl22_2 ),
    inference(avatar_split_clause,[],[f75,f109,f149]) ).

fof(f75,plain,
    ( sk_c8 = sF10
    | sk_c9 = sF18 ),
    inference(definition_folding,[],[f16,f74,f54]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_13) ).

fof(f147,plain,
    ( spl22_8
    | spl22_7 ),
    inference(avatar_split_clause,[],[f73,f134,f139]) ).

fof(f73,plain,
    ( sk_c9 = sF16
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f15,f67,f65]) ).

fof(f15,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_12) ).

fof(f146,plain,
    ( spl22_8
    | spl22_6 ),
    inference(avatar_split_clause,[],[f72,f129,f139]) ).

fof(f72,plain,
    ( sk_c7 = sF15
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f14,f67,f63]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_11) ).

fof(f145,plain,
    ( spl22_8
    | spl22_5 ),
    inference(avatar_split_clause,[],[f71,f124,f139]) ).

fof(f71,plain,
    ( sk_c9 = sF14
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f13,f67,f61]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_10) ).

fof(f144,plain,
    ( spl22_8
    | spl22_4 ),
    inference(avatar_split_clause,[],[f70,f119,f139]) ).

fof(f70,plain,
    ( sk_c5 = sF13
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f12,f67,f59]) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_9) ).

fof(f143,plain,
    ( spl22_8
    | spl22_3 ),
    inference(avatar_split_clause,[],[f69,f114,f139]) ).

fof(f69,plain,
    ( sk_c9 = sF12
    | sk_c8 = sF17 ),
    inference(definition_folding,[],[f11,f67,f57]) ).

fof(f11,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_8) ).

fof(f137,plain,
    ( spl22_1
    | spl22_7 ),
    inference(avatar_split_clause,[],[f66,f134,f105]) ).

fof(f66,plain,
    ( sk_c9 = sF16
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f9,f55,f65]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c6)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_6) ).

fof(f132,plain,
    ( spl22_1
    | spl22_6 ),
    inference(avatar_split_clause,[],[f64,f129,f105]) ).

fof(f64,plain,
    ( sk_c7 = sF15
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f8,f55,f63]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_5) ).

fof(f127,plain,
    ( spl22_1
    | spl22_5 ),
    inference(avatar_split_clause,[],[f62,f124,f105]) ).

fof(f62,plain,
    ( sk_c9 = sF14
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f7,f55,f61]) ).

fof(f7,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_4) ).

fof(f122,plain,
    ( spl22_1
    | spl22_4 ),
    inference(avatar_split_clause,[],[f60,f119,f105]) ).

fof(f60,plain,
    ( sk_c5 = sF13
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f6,f55,f59]) ).

fof(f6,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_3) ).

fof(f117,plain,
    ( spl22_1
    | spl22_3 ),
    inference(avatar_split_clause,[],[f58,f114,f105]) ).

fof(f58,plain,
    ( sk_c9 = sF12
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f5,f55,f57]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_2) ).

fof(f112,plain,
    ( spl22_1
    | spl22_2 ),
    inference(avatar_split_clause,[],[f56,f109,f105]) ).

fof(f56,plain,
    ( sk_c8 = sF10
    | sk_c7 = sF11 ),
    inference(definition_folding,[],[f4,f55,f54]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP280-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.15  % 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
% 0.16/0.36  % Computer : n028.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Apr 30 18:48:00 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36  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/tmp/tmp.3nydh1pOxl/Vampire---4.8_7627
% 0.74/0.93  % (7955)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2994ds/78Mi)
% 0.74/0.93  % (7953)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 Vampire---4 for (2994ds/34Mi)
% 0.74/0.93  % (7954)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 Vampire---4 for (2994ds/51Mi)
% 0.74/0.93  % (7956)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2994ds/33Mi)
% 0.74/0.93  % (7957)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 Vampire---4 for (2994ds/34Mi)
% 0.74/0.93  % (7960)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2994ds/56Mi)
% 0.74/0.93  % (7958)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/45Mi)
% 0.74/0.93  % (7959)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 Vampire---4 for (2994ds/83Mi)
% 0.74/0.93  % (7960)Refutation not found, incomplete strategy% (7960)------------------------------
% 0.74/0.93  % (7960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93  % (7953)Refutation not found, incomplete strategy% (7953)------------------------------
% 0.74/0.93  % (7953)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93  % (7953)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.93  
% 0.74/0.93  % (7953)Memory used [KB]: 1002
% 0.74/0.93  % (7953)Time elapsed: 0.004 s
% 0.74/0.93  % (7953)Instructions burned: 4 (million)
% 0.74/0.93  % (7953)------------------------------
% 0.74/0.93  % (7953)------------------------------
% 0.74/0.93  % (7960)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.93  
% 0.74/0.93  % (7960)Memory used [KB]: 986
% 0.74/0.93  % (7960)Time elapsed: 0.003 s
% 0.74/0.93  % (7956)Refutation not found, incomplete strategy% (7956)------------------------------
% 0.74/0.93  % (7956)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93  % (7956)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.93  
% 0.74/0.93  % (7956)Memory used [KB]: 983
% 0.74/0.93  % (7956)Time elapsed: 0.004 s
% 0.74/0.93  % (7956)Instructions burned: 4 (million)
% 0.74/0.93  % (7956)------------------------------
% 0.74/0.93  % (7956)------------------------------
% 0.74/0.93  % (7960)Instructions burned: 4 (million)
% 0.74/0.93  % (7960)------------------------------
% 0.74/0.93  % (7960)------------------------------
% 0.74/0.93  % (7957)Refutation not found, incomplete strategy% (7957)------------------------------
% 0.74/0.93  % (7957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.93  % (7957)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.93  
% 0.74/0.93  % (7957)Memory used [KB]: 1001
% 0.74/0.93  % (7957)Time elapsed: 0.004 s
% 0.74/0.93  % (7957)Instructions burned: 5 (million)
% 0.74/0.93  % (7957)------------------------------
% 0.74/0.93  % (7957)------------------------------
% 0.74/0.93  % (7961)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 Vampire---4 for (2994ds/55Mi)
% 0.74/0.93  % (7963)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2994ds/208Mi)
% 0.74/0.93  % (7962)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 Vampire---4 for (2994ds/50Mi)
% 0.74/0.93  % (7964)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 Vampire---4 for (2994ds/52Mi)
% 0.74/0.94  % (7962)Refutation not found, incomplete strategy% (7962)------------------------------
% 0.74/0.94  % (7962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.74/0.94  % (7962)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.94  
% 0.74/0.94  % (7962)Memory used [KB]: 992
% 0.74/0.94  % (7962)Time elapsed: 0.004 s
% 0.74/0.94  % (7962)Instructions burned: 6 (million)
% 0.74/0.94  % (7962)------------------------------
% 0.74/0.94  % (7962)------------------------------
% 0.74/0.94  % (7965)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 Vampire---4 for (2994ds/518Mi)
% 0.79/0.95  % (7958)Instruction limit reached!
% 0.79/0.95  % (7958)------------------------------
% 0.79/0.95  % (7958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.79/0.95  % (7958)Termination reason: Unknown
% 0.79/0.95  % (7958)Termination phase: Saturation
% 0.79/0.95  
% 0.79/0.95  % (7958)Memory used [KB]: 1571
% 0.79/0.95  % (7958)Time elapsed: 0.023 s
% 0.79/0.95  % (7958)Instructions burned: 45 (million)
% 0.79/0.95  % (7958)------------------------------
% 0.79/0.95  % (7958)------------------------------
% 0.82/0.95  % (7967)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 Vampire---4 for (2994ds/42Mi)
% 0.82/0.95  % (7954)Instruction limit reached!
% 0.82/0.95  % (7954)------------------------------
% 0.82/0.95  % (7954)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.95  % (7954)Termination reason: Unknown
% 0.82/0.95  % (7954)Termination phase: Saturation
% 0.82/0.95  
% 0.82/0.95  % (7954)Memory used [KB]: 1742
% 0.82/0.95  % (7954)Time elapsed: 0.028 s
% 0.82/0.95  % (7954)Instructions burned: 51 (million)
% 0.82/0.95  % (7954)------------------------------
% 0.82/0.95  % (7954)------------------------------
% 0.82/0.95  % (7967)Refutation not found, incomplete strategy% (7967)------------------------------
% 0.82/0.95  % (7967)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.95  % (7967)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.95  
% 0.82/0.95  % (7967)Memory used [KB]: 1007
% 0.82/0.95  % (7967)Time elapsed: 0.003 s
% 0.82/0.95  % (7967)Instructions burned: 4 (million)
% 0.82/0.95  % (7967)------------------------------
% 0.82/0.95  % (7967)------------------------------
% 0.82/0.96  % (7961)Instruction limit reached!
% 0.82/0.96  % (7961)------------------------------
% 0.82/0.96  % (7961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7961)Termination reason: Unknown
% 0.82/0.96  % (7961)Termination phase: Saturation
% 0.82/0.96  
% 0.82/0.96  % (7961)Memory used [KB]: 1568
% 0.82/0.96  % (7961)Time elapsed: 0.025 s
% 0.82/0.96  % (7961)Instructions burned: 55 (million)
% 0.82/0.96  % (7961)------------------------------
% 0.82/0.96  % (7961)------------------------------
% 0.82/0.96  % (7968)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 Vampire---4 for (2994ds/243Mi)
% 0.82/0.96  % (7969)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2994ds/117Mi)
% 0.82/0.96  % (7964)Instruction limit reached!
% 0.82/0.96  % (7964)------------------------------
% 0.82/0.96  % (7964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7964)Termination reason: Unknown
% 0.82/0.96  % (7964)Termination phase: Saturation
% 0.82/0.96  
% 0.82/0.96  % (7964)Memory used [KB]: 1529
% 0.82/0.96  % (7964)Time elapsed: 0.026 s
% 0.82/0.96  % (7964)Instructions burned: 53 (million)
% 0.82/0.96  % (7964)------------------------------
% 0.82/0.96  % (7964)------------------------------
% 0.82/0.96  % (7969)Refutation not found, incomplete strategy% (7969)------------------------------
% 0.82/0.96  % (7969)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7969)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.96  
% 0.82/0.96  % (7969)Memory used [KB]: 988
% 0.82/0.96  % (7969)Time elapsed: 0.003 s
% 0.82/0.96  % (7969)Instructions burned: 4 (million)
% 0.82/0.96  % (7969)------------------------------
% 0.82/0.96  % (7969)------------------------------
% 0.82/0.96  % (7970)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 Vampire---4 for (2994ds/143Mi)
% 0.82/0.96  % (7955)Instruction limit reached!
% 0.82/0.96  % (7955)------------------------------
% 0.82/0.96  % (7955)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7955)Termination reason: Unknown
% 0.82/0.96  % (7955)Termination phase: Saturation
% 0.82/0.96  
% 0.82/0.96  % (7955)Memory used [KB]: 1655
% 0.82/0.96  % (7955)Time elapsed: 0.035 s
% 0.82/0.96  % (7955)Instructions burned: 80 (million)
% 0.82/0.96  % (7955)------------------------------
% 0.82/0.96  % (7955)------------------------------
% 0.82/0.96  % (7971)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 Vampire---4 for (2994ds/93Mi)
% 0.82/0.96  % (7970)Refutation not found, incomplete strategy% (7970)------------------------------
% 0.82/0.96  % (7970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7970)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.96  
% 0.82/0.96  % (7970)Memory used [KB]: 1003
% 0.82/0.96  % (7970)Time elapsed: 0.003 s
% 0.82/0.96  % (7970)Instructions burned: 4 (million)
% 0.82/0.96  % (7970)------------------------------
% 0.82/0.96  % (7970)------------------------------
% 0.82/0.96  % (7972)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 Vampire---4 for (2994ds/62Mi)
% 0.82/0.96  % (7959)Instruction limit reached!
% 0.82/0.96  % (7959)------------------------------
% 0.82/0.96  % (7959)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7959)Termination reason: Unknown
% 0.82/0.96  % (7959)Termination phase: Saturation
% 0.82/0.96  
% 0.82/0.96  % (7959)Memory used [KB]: 1721
% 0.82/0.96  % (7959)Time elapsed: 0.038 s
% 0.82/0.96  % (7959)Instructions burned: 83 (million)
% 0.82/0.96  % (7959)------------------------------
% 0.82/0.96  % (7959)------------------------------
% 0.82/0.96  % (7973)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 Vampire---4 for (2994ds/32Mi)
% 0.82/0.96  % (7972)Refutation not found, incomplete strategy% (7972)------------------------------
% 0.82/0.96  % (7972)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.96  % (7972)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.96  
% 0.82/0.96  % (7972)Memory used [KB]: 987
% 0.82/0.96  % (7972)Time elapsed: 0.003 s
% 0.82/0.96  % (7972)Instructions burned: 3 (million)
% 0.82/0.96  % (7972)------------------------------
% 0.82/0.96  % (7972)------------------------------
% 0.82/0.96  % (7974)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 Vampire---4 for (2994ds/1919Mi)
% 0.82/0.97  % (7975)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 Vampire---4 for (2994ds/55Mi)
% 0.82/0.97  % (7976)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 Vampire---4 for (2994ds/53Mi)
% 0.82/0.97  % (7975)Refutation not found, incomplete strategy% (7975)------------------------------
% 0.82/0.97  % (7975)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.97  % (7975)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.97  
% 0.82/0.97  % (7975)Memory used [KB]: 1004
% 0.82/0.97  % (7975)Time elapsed: 0.004 s
% 0.82/0.97  % (7975)Instructions burned: 5 (million)
% 0.82/0.97  % (7975)------------------------------
% 0.82/0.97  % (7975)------------------------------
% 0.82/0.97  % (7977)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 Vampire---4 for (2994ds/46Mi)
% 0.82/0.97  % (7968)Refutation not found, incomplete strategy% (7968)------------------------------
% 0.82/0.97  % (7968)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.97  % (7977)Refutation not found, incomplete strategy% (7977)------------------------------
% 0.82/0.97  % (7977)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.97  % (7968)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.97  
% 0.82/0.97  % (7968)Memory used [KB]: 1302
% 0.82/0.97  % (7968)Time elapsed: 0.019 s
% 0.82/0.97  % (7968)Instructions burned: 36 (million)
% 0.82/0.97  % (7968)------------------------------
% 0.82/0.97  % (7968)------------------------------
% 0.82/0.97  % (7977)Termination reason: Refutation not found, incomplete strategy
% 0.82/0.97  
% 0.82/0.97  % (7977)Memory used [KB]: 991
% 0.82/0.97  % (7977)Time elapsed: 0.003 s
% 0.82/0.97  % (7977)Instructions burned: 4 (million)
% 0.82/0.97  % (7977)------------------------------
% 0.82/0.97  % (7977)------------------------------
% 0.82/0.98  % (7973)Instruction limit reached!
% 0.82/0.98  % (7973)------------------------------
% 0.82/0.98  % (7973)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.98  % (7973)Termination reason: Unknown
% 0.82/0.98  % (7973)Termination phase: Saturation
% 0.82/0.98  
% 0.82/0.98  % (7973)Memory used [KB]: 1351
% 0.82/0.98  % (7973)Time elapsed: 0.016 s
% 0.82/0.98  % (7973)Instructions burned: 32 (million)
% 0.82/0.98  % (7973)------------------------------
% 0.82/0.98  % (7973)------------------------------
% 0.82/0.98  % (7978)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 Vampire---4 for (2994ds/102Mi)
% 0.82/0.98  % (7979)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 Vampire---4 for (2994ds/35Mi)
% 0.82/0.98  % (7980)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2993ds/87Mi)
% 0.82/0.99  % (7976)Instruction limit reached!
% 0.82/0.99  % (7976)------------------------------
% 0.82/0.99  % (7976)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.99  % (7976)Termination reason: Unknown
% 0.82/0.99  % (7976)Termination phase: Saturation
% 0.82/0.99  
% 0.82/0.99  % (7976)Memory used [KB]: 1181
% 0.82/0.99  % (7976)Time elapsed: 0.025 s
% 0.82/0.99  % (7976)Instructions burned: 53 (million)
% 0.82/0.99  % (7976)------------------------------
% 0.82/0.99  % (7976)------------------------------
% 0.82/0.99  % (7982)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 Vampire---4 for (2993ds/109Mi)
% 0.82/0.99  % (7979)Instruction limit reached!
% 0.82/0.99  % (7979)------------------------------
% 0.82/0.99  % (7979)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/0.99  % (7979)Termination reason: Unknown
% 0.82/0.99  % (7979)Termination phase: Saturation
% 0.82/0.99  
% 0.82/0.99  % (7979)Memory used [KB]: 1163
% 0.82/0.99  % (7979)Time elapsed: 0.018 s
% 0.82/0.99  % (7979)Instructions burned: 37 (million)
% 0.82/0.99  % (7979)------------------------------
% 0.82/0.99  % (7979)------------------------------
% 0.82/1.00  % (7984)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 Vampire---4 for (2993ds/161Mi)
% 0.82/1.00  % (7984)Refutation not found, incomplete strategy% (7984)------------------------------
% 0.82/1.00  % (7984)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/1.00  % (7984)Termination reason: Refutation not found, incomplete strategy
% 0.82/1.00  
% 0.82/1.00  % (7984)Memory used [KB]: 981
% 0.82/1.00  % (7984)Time elapsed: 0.003 s
% 0.82/1.00  % (7984)Instructions burned: 4 (million)
% 0.82/1.00  % (7984)------------------------------
% 0.82/1.00  % (7984)------------------------------
% 0.82/1.00  % (7971)Instruction limit reached!
% 0.82/1.00  % (7971)------------------------------
% 0.82/1.00  % (7971)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.82/1.00  % (7971)Termination reason: Unknown
% 0.82/1.00  % (7971)Termination phase: Saturation
% 0.82/1.00  
% 0.82/1.00  % (7971)Memory used [KB]: 2269
% 0.82/1.00  % (7971)Time elapsed: 0.043 s
% 0.82/1.00  % (7971)Instructions burned: 94 (million)
% 0.82/1.00  % (7971)------------------------------
% 0.82/1.00  % (7971)------------------------------
% 0.82/1.00  % (7986)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 Vampire---4 for (2993ds/69Mi)
% 1.13/1.00  % (7986)Refutation not found, incomplete strategy% (7986)------------------------------
% 1.13/1.00  % (7986)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.00  % (7986)Termination reason: Refutation not found, incomplete strategy
% 1.13/1.00  
% 1.13/1.00  % (7986)Memory used [KB]: 1071
% 1.13/1.00  % (7986)Time elapsed: 0.004 s
% 1.13/1.00  % (7986)Instructions burned: 5 (million)
% 1.13/1.00  % (7986)------------------------------
% 1.13/1.00  % (7986)------------------------------
% 1.13/1.01  % (7987)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 Vampire---4 for (2993ds/40Mi)
% 1.13/1.01  % (7988)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 Vampire---4 for (2993ds/360Mi)
% 1.13/1.01  % (7963)Instruction limit reached!
% 1.13/1.01  % (7963)------------------------------
% 1.13/1.01  % (7963)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.01  % (7963)Termination reason: Unknown
% 1.13/1.01  % (7963)Termination phase: Saturation
% 1.13/1.01  
% 1.13/1.01  % (7963)Memory used [KB]: 2568
% 1.13/1.02  % (7963)Time elapsed: 0.084 s
% 1.13/1.02  % (7963)Instructions burned: 208 (million)
% 1.13/1.02  % (7963)------------------------------
% 1.13/1.02  % (7963)------------------------------
% 1.13/1.02  % (7980)Instruction limit reached!
% 1.13/1.02  % (7980)------------------------------
% 1.13/1.02  % (7980)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.02  % (7980)Termination reason: Unknown
% 1.13/1.02  % (7980)Termination phase: Saturation
% 1.13/1.02  
% 1.13/1.02  % (7980)Memory used [KB]: 1439
% 1.13/1.02  % (7980)Time elapsed: 0.039 s
% 1.13/1.02  % (7980)Instructions burned: 88 (million)
% 1.13/1.02  % (7980)------------------------------
% 1.13/1.02  % (7980)------------------------------
% 1.13/1.02  % (7992)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 Vampire---4 for (2993ds/161Mi)
% 1.13/1.02  % (7993)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2993ds/80Mi)
% 1.13/1.02  % (7978)Instruction limit reached!
% 1.13/1.02  % (7978)------------------------------
% 1.13/1.02  % (7978)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.02  % (7978)Termination reason: Unknown
% 1.13/1.02  % (7978)Termination phase: Saturation
% 1.13/1.02  
% 1.13/1.02  % (7978)Memory used [KB]: 2651
% 1.13/1.02  % (7978)Time elapsed: 0.047 s
% 1.13/1.02  % (7978)Instructions burned: 103 (million)
% 1.13/1.02  % (7978)------------------------------
% 1.13/1.02  % (7978)------------------------------
% 1.13/1.02  % (7987)Instruction limit reached!
% 1.13/1.02  % (7987)------------------------------
% 1.13/1.02  % (7987)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.02  % (7987)Termination reason: Unknown
% 1.13/1.02  % (7987)Termination phase: Saturation
% 1.13/1.02  
% 1.13/1.02  % (7987)Memory used [KB]: 1642
% 1.13/1.02  % (7987)Time elapsed: 0.021 s
% 1.13/1.02  % (7987)Instructions burned: 41 (million)
% 1.13/1.02  % (7987)------------------------------
% 1.13/1.02  % (7987)------------------------------
% 1.13/1.03  % (7988)First to succeed.
% 1.13/1.03  % (7995)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 Vampire---4 for (2993ds/37Mi)
% 1.13/1.03  % (7996)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 Vampire---4 for (2993ds/55Mi)
% 1.13/1.03  % (7988)Refutation found. Thanks to Tanya!
% 1.13/1.03  % SZS status Unsatisfiable for Vampire---4
% 1.13/1.03  % SZS output start Proof for Vampire---4
% See solution above
% 1.13/1.03  % (7988)------------------------------
% 1.13/1.03  % (7988)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.13/1.03  % (7988)Termination reason: Refutation
% 1.13/1.03  
% 1.13/1.03  % (7988)Memory used [KB]: 1262
% 1.13/1.03  % (7988)Time elapsed: 0.022 s
% 1.13/1.03  % (7988)Instructions burned: 38 (million)
% 1.13/1.03  % (7988)------------------------------
% 1.13/1.03  % (7988)------------------------------
% 1.13/1.03  % (7876)Success in time 0.648 s
% 1.13/1.03  % Vampire---4.8 exiting
%------------------------------------------------------------------------------