TSTP Solution File: GRP216-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP216-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 21:07:37 EDT 2024

% Result   : Unsatisfiable 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   39
% Syntax   : Number of formulae    :  167 (   6 unt;   0 def)
%            Number of atoms       :  478 ( 177 equ)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  592 ( 281   ~; 290   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  22 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   47 (  47   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f697,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f48,f53,f58,f63,f68,f69,f70,f71,f72,f73,f78,f88,f106,f142,f168,f171,f176,f189,f210,f220,f228,f233,f244,f275,f306,f307,f310,f402,f404,f407,f658,f696]) ).

fof(f696,plain,
    ( spl0_19
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f691,f85,f75,f65,f31,f139]) ).

fof(f139,plain,
    ( spl0_19
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f31,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f65,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f75,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f85,plain,
    ( spl0_10
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f691,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f648,f628]) ).

fof(f628,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f604,f204]) ).

fof(f204,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f194,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).

fof(f194,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f604,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f204,f270]) ).

fof(f270,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c6,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f265]) ).

fof(f265,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f251,f33]) ).

fof(f33,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f251,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f250,f1]) ).

fof(f250,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f234]) ).

fof(f234,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f67]) ).

fof(f67,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f648,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f616,f87]) ).

fof(f87,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f616,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c7)
    | ~ spl0_9 ),
    inference(superposition,[],[f204,f77]) ).

fof(f77,plain,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f658,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f653,f139,f65,f31,f126]) ).

fof(f126,plain,
    ( spl0_17
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f653,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f2,f601]) ).

fof(f601,plain,
    ( ! [X0] : multiply(inverse(sk_c7),X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f204,f467]) ).

fof(f467,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(superposition,[],[f251,f444]) ).

fof(f444,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f443,f251]) ).

fof(f443,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f431,f140]) ).

fof(f140,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f431,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f248,f251]) ).

fof(f248,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f33]) ).

fof(f407,plain,
    ( ~ spl0_17
    | ~ spl0_19
    | spl0_24 ),
    inference(avatar_split_clause,[],[f406,f179,f139,f126]) ).

fof(f179,plain,
    ( spl0_24
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f406,plain,
    ( identity != sk_c7
    | ~ spl0_19
    | spl0_24 ),
    inference(forward_demodulation,[],[f181,f140]) ).

fof(f181,plain,
    ( identity != sk_c6
    | spl0_24 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f404,plain,
    ( spl0_17
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f371,f179,f139,f126]) ).

fof(f371,plain,
    ( identity = sk_c7
    | ~ spl0_19
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f180,f140]) ).

fof(f180,plain,
    ( identity = sk_c6
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f179]) ).

fof(f402,plain,
    ( spl0_2
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(avatar_contradiction_clause,[],[f401]) ).

fof(f401,plain,
    ( $false
    | spl0_2
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f399]) ).

fof(f399,plain,
    ( sk_c7 != sk_c7
    | spl0_2
    | ~ spl0_8
    | ~ spl0_17
    | ~ spl0_19 ),
    inference(superposition,[],[f321,f394]) ).

fof(f394,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f67,f389]) ).

fof(f389,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f383,f127]) ).

fof(f127,plain,
    ( identity = sk_c7
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f383,plain,
    ( identity = sk_c1
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f324,f234]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_17 ),
    inference(superposition,[],[f1,f127]) ).

fof(f321,plain,
    ( sk_c7 != inverse(sk_c7)
    | spl0_2
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f36,f140]) ).

fof(f36,plain,
    ( sk_c6 != inverse(sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c6 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f310,plain,
    ( ~ spl0_19
    | ~ spl0_1
    | ~ spl0_8
    | spl0_22
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f309,f179,f160,f65,f31,f139]) ).

fof(f160,plain,
    ( spl0_22
  <=> sk_c6 = multiply(sk_c7,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f309,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_8
    | spl0_22
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f308,f265]) ).

fof(f308,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | spl0_22
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f162,f180]) ).

fof(f162,plain,
    ( sk_c6 != multiply(sk_c7,identity)
    | spl0_22 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f307,plain,
    ( spl0_23
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f303,f179,f65,f35,f31,f164]) ).

fof(f164,plain,
    ( spl0_23
  <=> sk_c7 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f303,plain,
    ( sk_c7 = inverse(sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f67,f292]) ).

fof(f292,plain,
    ( sk_c1 = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f277,f276]) ).

fof(f276,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f273,f207]) ).

fof(f207,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f198,f1]) ).

fof(f198,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f117]) ).

fof(f117,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f37]) ).

fof(f37,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f269]) ).

fof(f269,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f207,f265]) ).

fof(f277,plain,
    ( sk_c1 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f254,f180]) ).

fof(f254,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f207,f234]) ).

fof(f306,plain,
    ( spl0_17
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f305,f179,f65,f35,f31,f126]) ).

fof(f305,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f301,f265]) ).

fof(f301,plain,
    ( identity = multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f234,f292]) ).

fof(f275,plain,
    ( spl0_24
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f272,f65,f35,f31,f179]) ).

fof(f272,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f117,f269]) ).

fof(f244,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f241,f126,f65,f35,f139]) ).

fof(f241,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f37,f237]) ).

fof(f237,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(superposition,[],[f67,f236]) ).

fof(f236,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f235,f127]) ).

fof(f235,plain,
    ( identity = sk_c1
    | ~ spl0_8
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f234,f229]) ).

fof(f229,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_17 ),
    inference(superposition,[],[f1,f127]) ).

fof(f233,plain,
    ( ~ spl0_19
    | ~ spl0_2
    | ~ spl0_17
    | spl0_18 ),
    inference(avatar_split_clause,[],[f232,f135,f126,f35,f139]) ).

fof(f135,plain,
    ( spl0_18
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f232,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_2
    | ~ spl0_17
    | spl0_18 ),
    inference(superposition,[],[f230,f37]) ).

fof(f230,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl0_17
    | spl0_18 ),
    inference(superposition,[],[f137,f127]) ).

fof(f137,plain,
    ( sk_c7 != inverse(identity)
    | spl0_18 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f228,plain,
    ( spl0_17
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f227,f154,f139,f35,f126]) ).

fof(f154,plain,
    ( spl0_21
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f227,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f226,f140]) ).

fof(f226,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_19
    | ~ spl0_21 ),
    inference(forward_demodulation,[],[f223,f155]) ).

fof(f155,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f223,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_19 ),
    inference(superposition,[],[f117,f140]) ).

fof(f220,plain,
    ( spl0_19
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f217,f60,f55,f50,f139]) ).

fof(f50,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f55,plain,
    ( spl0_6
  <=> sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f60,plain,
    ( spl0_7
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f217,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f52,f213]) ).

fof(f213,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f206,f57]) ).

fof(f57,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f206,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f197,f1]) ).

fof(f197,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f119]) ).

fof(f119,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f62]) ).

fof(f62,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f52,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f210,plain,
    ( spl0_21
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f208,f45,f40,f154]) ).

fof(f40,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f45,plain,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f208,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f205,f47]) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f196,f1]) ).

fof(f196,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f118]) ).

fof(f118,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f189,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f188,f98,f139,f135]) ).

fof(f98,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f188,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl0_12 ),
    inference(inner_rewriting,[],[f184]) ).

fof(f184,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f99,f1]) ).

fof(f99,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f176,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f172,f95,f139,f135]) ).

fof(f95,plain,
    ( spl0_11
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f172,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl0_11 ),
    inference(superposition,[],[f96,f1]) ).

fof(f96,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f171,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f170,f104,f60,f55,f50]) ).

fof(f104,plain,
    ( spl0_14
  <=> ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f170,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f169]) ).

fof(f169,plain,
    ( sk_c7 != sk_c7
    | sk_c6 != multiply(sk_c7,sk_c5)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f152,f62]) ).

fof(f152,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f105,f57]) ).

fof(f105,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
        | sk_c7 != inverse(X7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f168,plain,
    ( ~ spl0_23
    | ~ spl0_22
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f151,f104,f35,f160,f164]) ).

fof(f151,plain,
    ( sk_c6 != multiply(sk_c7,identity)
    | sk_c7 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_14 ),
    inference(superposition,[],[f105,f117]) ).

fof(f142,plain,
    ( ~ spl0_18
    | ~ spl0_19
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f130,f101,f139,f135]) ).

fof(f101,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f130,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl0_13 ),
    inference(superposition,[],[f102,f1]) ).

fof(f102,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f106,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f29,f104,f101,f35,f98,f95]) ).

fof(f29,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c7 != inverse(X7)
      | sk_c6 != multiply(sk_c7,multiply(X7,sk_c7))
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != inverse(X7)
      | multiply(X7,sk_c7) != X6
      | sk_c6 != multiply(sk_c7,X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(sk_c7)
      | sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f88,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f35,f85]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f78,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f35,f75]) ).

fof(f16,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f73,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f60,f65]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f72,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f55,f65]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f71,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f50,f65]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f70,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f45,f65]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f69,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f40,f65]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f68,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f35,f65]) ).

fof(f10,axiom,
    ( sk_c6 = inverse(sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f63,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f60,f31]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f58,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f55,f31]) ).

fof(f8,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f53,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f50,f31]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f48,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f45,f31]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f43,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f40,f31]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f35,f31]) ).

fof(f4,axiom,
    ( sk_c6 = inverse(sk_c7)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : GRP216-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.10  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.09/0.30  % Computer : n011.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Sun May 19 04:28:37 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.09/0.30  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.09/0.31  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.77  % (12751)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 (2995ds/34Mi)
% 0.60/0.77  % (12754)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.77  % (12753)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.77  % (12755)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 (2995ds/34Mi)
% 0.60/0.77  % (12752)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 (2995ds/51Mi)
% 0.60/0.77  % (12757)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.77  % (12758)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 (2995ds/83Mi)
% 0.60/0.77  % (12759)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 (2995ds/56Mi)
% 0.60/0.77  % (12759)Refutation not found, incomplete strategy% (12759)------------------------------
% 0.60/0.77  % (12759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (12759)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (12759)Memory used [KB]: 988
% 0.60/0.77  % (12759)Time elapsed: 0.003 s
% 0.60/0.77  % (12759)Instructions burned: 3 (million)
% 0.60/0.77  % (12751)Refutation not found, incomplete strategy% (12751)------------------------------
% 0.60/0.77  % (12751)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (12751)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (12751)Memory used [KB]: 1002
% 0.60/0.77  % (12751)Time elapsed: 0.004 s
% 0.60/0.77  % (12751)Instructions burned: 3 (million)
% 0.60/0.77  % (12759)------------------------------
% 0.60/0.77  % (12759)------------------------------
% 0.60/0.77  % (12755)Refutation not found, incomplete strategy% (12755)------------------------------
% 0.60/0.77  % (12755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (12755)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (12755)Memory used [KB]: 1003
% 0.60/0.77  % (12755)Time elapsed: 0.004 s
% 0.60/0.77  % (12755)Instructions burned: 4 (million)
% 0.60/0.77  % (12751)------------------------------
% 0.60/0.77  % (12751)------------------------------
% 0.60/0.77  % (12755)------------------------------
% 0.60/0.77  % (12755)------------------------------
% 0.60/0.77  % (12754)Refutation not found, incomplete strategy% (12754)------------------------------
% 0.60/0.77  % (12754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (12754)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.77  
% 0.60/0.77  % (12754)Memory used [KB]: 988
% 0.60/0.77  % (12754)Time elapsed: 0.004 s
% 0.60/0.77  % (12754)Instructions burned: 3 (million)
% 0.60/0.78  % (12754)------------------------------
% 0.60/0.78  % (12754)------------------------------
% 0.60/0.78  % (12762)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 (2995ds/208Mi)
% 0.60/0.78  % (12761)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 (2995ds/50Mi)
% 0.60/0.78  % (12760)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 (2995ds/55Mi)
% 0.60/0.78  % (12763)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 (2995ds/52Mi)
% 0.60/0.78  % (12761)Refutation not found, incomplete strategy% (12761)------------------------------
% 0.60/0.78  % (12761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (12761)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.78  
% 0.60/0.78  % (12761)Memory used [KB]: 997
% 0.60/0.78  % (12761)Time elapsed: 0.003 s
% 0.60/0.78  % (12761)Instructions burned: 5 (million)
% 0.60/0.78  % (12761)------------------------------
% 0.60/0.78  % (12761)------------------------------
% 0.60/0.78  % (12752)First to succeed.
% 0.60/0.78  % (12764)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 (2995ds/518Mi)
% 0.60/0.78  % (12752)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-12750"
% 0.60/0.79  % (12752)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Unsatisfiable for theBenchmark
% 0.60/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79  % (12752)------------------------------
% 0.60/0.79  % (12752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (12752)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (12752)Memory used [KB]: 1212
% 0.60/0.79  % (12752)Time elapsed: 0.015 s
% 0.60/0.79  % (12752)Instructions burned: 25 (million)
% 0.60/0.79  % (12750)Success in time 0.473 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------