TSTP Solution File: GRP279-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP279-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n024.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 0.76s 0.84s
% Output   : Refutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   47
% Syntax   : Number of formulae    :  242 (   4 unt;   0 def)
%            Number of atoms       : 1122 ( 275 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 1741 ( 861   ~; 865   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   69 (  69   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1886,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f54,f69,f70,f71,f72,f73,f78,f79,f80,f81,f82,f87,f88,f89,f90,f91,f96,f97,f98,f99,f100,f105,f106,f107,f108,f109,f122,f324,f619,f656,f676,f684,f1150,f1624,f1678,f1715,f1765,f1881]) ).

fof(f1881,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1880,f120,f102,f93,f84,f75,f66,f37,f75]) ).

fof(f37,plain,
    ( spl0_1
  <=> multiply(sk_c8,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f66,plain,
    ( spl0_7
  <=> sk_c7 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f75,plain,
    ( spl0_8
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f84,plain,
    ( spl0_9
  <=> sk_c8 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f93,plain,
    ( spl0_10
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f102,plain,
    ( spl0_11
  <=> sk_c8 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f120,plain,
    ( spl0_15
  <=> ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1880,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1856,f1774]) ).

fof(f1774,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1742,f1723]) ).

fof(f1723,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1111,f1559]) ).

fof(f1559,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1555,f1103]) ).

fof(f1103,plain,
    ( sk_c8 = sk_c3
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1091,f758]) ).

fof(f758,plain,
    ( sk_c3 = multiply(sk_c3,sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f698,f86]) ).

fof(f86,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f698,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f697,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',left_identity) ).

fof(f697,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f686]) ).

fof(f686,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f95]) ).

fof(f95,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',associativity) ).

fof(f1091,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f698,f1034]) ).

fof(f1034,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1033,f709]) ).

fof(f709,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f704,f39]) ).

fof(f39,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f704,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f696,f68]) ).

fof(f68,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f696,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f695,f1]) ).

fof(f695,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f685]) ).

fof(f685,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f77]) ).

fof(f77,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f1033,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1027,f39]) ).

fof(f1027,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c2,sk_c8)
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f691,f104]) ).

fof(f104,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f691,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c3,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f86]) ).

fof(f1555,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f698,f1459]) ).

fof(f1459,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1113,f1025]) ).

fof(f1025,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f691,f698]) ).

fof(f1113,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f698,f1103]) ).

fof(f1111,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f686,f1103]) ).

fof(f1742,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1559,f685]) ).

fof(f1856,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f1852]) ).

fof(f1852,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f1771,f1459]) ).

fof(f1771,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1770,f1740]) ).

fof(f1740,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1559,f704]) ).

fof(f1770,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c7 != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f1769,f1740]) ).

fof(f1769,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c8)
        | sk_c7 != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f121,f709]) ).

fof(f121,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != inverse(X7) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f1765,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f1764]) ).

fof(f1764,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f1763]) ).

fof(f1763,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f1727,f1740]) ).

fof(f1727,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1726,f709]) ).

fof(f1726,plain,
    ( sk_c7 != sk_c6
    | spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f42,f1137]) ).

fof(f1137,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1133,f68]) ).

fof(f1133,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c1,sk_c8)
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f690,f1074]) ).

fof(f1074,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1026,f86]) ).

fof(f1026,plain,
    ( multiply(sk_c2,sk_c3) = multiply(sk_c8,sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f691,f758]) ).

fof(f690,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f68]) ).

fof(f42,plain,
    ( sk_c6 != multiply(sk_c7,sk_c8)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c6 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1715,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1714,f111,f102,f93,f84,f75,f66,f41,f37,f75]) ).

fof(f111,plain,
    ( spl0_12
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1714,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1694,f1506]) ).

fof(f1506,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1505,f1503]) ).

fof(f1503,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1502,f1443]) ).

fof(f1443,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f1436,f696]) ).

fof(f1436,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f703,f709]) ).

fof(f703,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f702,f1]) ).

fof(f702,plain,
    ( ! [X0] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f700,f3]) ).

fof(f700,plain,
    ( ! [X0] : multiply(multiply(sk_c7,identity),X0) = multiply(sk_c6,multiply(sk_c1,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f693]) ).

fof(f693,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c6,sk_c1)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f129,f685]) ).

fof(f129,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(sk_c6,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f43]) ).

fof(f43,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f1502,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f980,f1498]) ).

fof(f1498,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1497,f1443]) ).

fof(f1497,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1303,f1459]) ).

fof(f1303,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f690,f1113]) ).

fof(f980,plain,
    ( multiply(sk_c7,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f690,f685]) ).

fof(f1505,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1504,f1501]) ).

fof(f1501,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1500,f709]) ).

fof(f1500,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1499,f1443]) ).

fof(f1499,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1302,f1459]) ).

fof(f1302,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f129,f1113]) ).

fof(f1504,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f1028,f1459]) ).

fof(f1028,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f691,f686]) ).

fof(f1694,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1690]) ).

fof(f1690,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1679,f1459]) ).

fof(f1679,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f112,f1509]) ).

fof(f1509,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1137,f1443]) ).

fof(f112,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f1678,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1676]) ).

fof(f1676,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f1668,f1498]) ).

fof(f1668,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1667]) ).

fof(f1667,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1664,f1074]) ).

fof(f1664,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f1629,f77]) ).

fof(f1629,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c8)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f115,f1509]) ).

fof(f115,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl0_13
  <=> ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c7)
        | sk_c8 != multiply(X4,inverse(X4)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1624,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1623,f117,f102,f93,f84,f75,f66,f41,f37,f75]) ).

fof(f117,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1623,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f1603,f1506]) ).

fof(f1603,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1599]) ).

fof(f1599,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f1515,f1459]) ).

fof(f1515,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f118,f1509]) ).

fof(f118,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f1150,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f1149]) ).

fof(f1149,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f1148]) ).

fof(f1148,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f754,f1138]) ).

fof(f1138,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1137,f724]) ).

fof(f724,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f719,f136]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f719,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = multiply(sk_c7,X0)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f147,f709]) ).

fof(f147,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f129,f136]) ).

fof(f754,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f717,f739]) ).

fof(f739,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f724,f137]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f130,f1]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f124]) ).

fof(f124,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f58]) ).

fof(f58,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f717,plain,
    ( sk_c7 != multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f62,f709]) ).

fof(f62,plain,
    ( sk_c7 != multiply(sk_c5,sk_c6)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_6
  <=> sk_c7 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f684,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f166,f51,f46,f41,f37]) ).

fof(f51,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f166,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f136,f162]) ).

fof(f162,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f156,f138]) ).

fof(f138,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f136,f53]) ).

fof(f53,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f156,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f131,f43]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f53]) ).

fof(f676,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f675]) ).

fof(f675,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f671]) ).

fof(f671,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f663,f177]) ).

fof(f177,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f53,f172]) ).

fof(f172,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f169,f53]) ).

fof(f169,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f162,f168]) ).

fof(f168,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f166,f163]) ).

fof(f163,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f157,f162]) ).

fof(f157,plain,
    ( multiply(sk_c8,sk_c7) = multiply(sk_c4,sk_c6)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f131,f142]) ).

fof(f142,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f137,f63]) ).

fof(f63,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f663,plain,
    ( sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f662]) ).

fof(f662,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f661,f172]) ).

fof(f661,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f658,f138]) ).

fof(f658,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | sk_c8 != multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f657,f48]) ).

fof(f657,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(inverse(X4),sk_c8)
        | sk_c8 != multiply(X4,inverse(X4)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f115,f172]) ).

fof(f656,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f655,f120,f61,f56,f51,f46,f41,f46]) ).

fof(f655,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f634,f240]) ).

fof(f240,plain,
    ( sk_c4 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f233,f232]) ).

fof(f232,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f221,f123]) ).

fof(f221,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f220,f1]) ).

fof(f220,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f216]) ).

fof(f216,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f215,f178]) ).

fof(f178,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f124,f172]) ).

fof(f215,plain,
    ( multiply(sk_c8,sk_c5) = multiply(sk_c8,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f214,f172]) ).

fof(f214,plain,
    ( multiply(sk_c7,sk_c5) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f212,f168]) ).

fof(f212,plain,
    ( multiply(sk_c7,identity) = multiply(sk_c6,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f129,f178]) ).

fof(f233,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f221,f178]) ).

fof(f634,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f633]) ).

fof(f633,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f622,f174]) ).

fof(f174,plain,
    ( sk_c8 = multiply(sk_c5,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f171,f172]) ).

fof(f171,plain,
    ( sk_c7 = multiply(sk_c5,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f63,f168]) ).

fof(f622,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c8 != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f621,f172]) ).

fof(f621,plain,
    ( ! [X7] :
        ( sk_c8 != multiply(X7,sk_c8)
        | sk_c7 != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f620,f172]) ).

fof(f620,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f121,f168]) ).

fof(f619,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f618,f117,f61,f56,f51,f46,f41,f46]) ).

fof(f618,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f597,f240]) ).

fof(f597,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f596]) ).

fof(f596,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f585,f174]) ).

fof(f585,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f118,f172]) ).

fof(f324,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f323,f111,f61,f56,f51,f46,f41,f46]) ).

fof(f323,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f294,f240]) ).

fof(f294,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f293]) ).

fof(f293,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f194,f174]) ).

fof(f194,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f112,f172]) ).

fof(f122,plain,
    ( ~ spl0_1
    | spl0_12
    | spl0_13
    | ~ spl0_2
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f35,f120,f117,f41,f114,f111,f37]) ).

fof(f35,plain,
    ! [X3,X6,X7,X4] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X6)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c8 != multiply(inverse(X4),sk_c7)
      | sk_c8 != multiply(X4,inverse(X4))
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X6)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | inverse(X4) != X5
      | sk_c8 != multiply(X4,X5)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_31) ).

fof(f109,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f61,f102]) ).

fof(f33,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_30) ).

fof(f108,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f32,f56,f102]) ).

fof(f32,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_29) ).

fof(f107,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f31,f51,f102]) ).

fof(f31,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_28) ).

fof(f106,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f30,f46,f102]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_27) ).

fof(f105,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f29,f41,f102]) ).

fof(f29,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_26) ).

fof(f100,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f61,f93]) ).

fof(f28,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_25) ).

fof(f99,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f56,f93]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_24) ).

fof(f98,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f51,f93]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_23) ).

fof(f97,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f46,f93]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_22) ).

fof(f96,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f41,f93]) ).

fof(f24,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_21) ).

fof(f91,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f61,f84]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_20) ).

fof(f90,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f56,f84]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_19) ).

fof(f89,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f51,f84]) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_18) ).

fof(f88,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f46,f84]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_17) ).

fof(f87,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f41,f84]) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_16) ).

fof(f82,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f61,f75]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_15) ).

fof(f81,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f56,f75]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_14) ).

fof(f80,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f51,f75]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_13) ).

fof(f79,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f46,f75]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_12) ).

fof(f78,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f41,f75]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_11) ).

fof(f73,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f13,f61,f66]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_10) ).

fof(f72,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f56,f66]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_9) ).

fof(f71,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f51,f66]) ).

fof(f11,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_8) ).

fof(f70,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f46,f66]) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_7) ).

fof(f69,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f41,f66]) ).

fof(f9,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_6) ).

fof(f54,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f51,f37]) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_3) ).

fof(f49,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f46,f37]) ).

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_2) ).

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f41,f37]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.QN80urSGVP/Vampire---4.8_3681',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GRP279-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.15  % 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
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Apr 30 18:26:06 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36  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/tmp/tmp.QN80urSGVP/Vampire---4.8_3681
% 0.62/0.81  % (4169)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 (2995ds/56Mi)
% 0.66/0.81  % (4162)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 (2995ds/34Mi)
% 0.66/0.81  % (4164)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.66/0.81  % (4166)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 (2995ds/34Mi)
% 0.66/0.81  % (4165)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.66/0.81  % (4169)Refutation not found, incomplete strategy% (4169)------------------------------
% 0.66/0.81  % (4169)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4169)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4169)Memory used [KB]: 983
% 0.66/0.81  % (4169)Time elapsed: 0.002 s
% 0.66/0.81  % (4169)Instructions burned: 4 (million)
% 0.66/0.81  % (4169)------------------------------
% 0.66/0.81  % (4169)------------------------------
% 0.66/0.81  % (4167)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.66/0.81  % (4163)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 (2995ds/51Mi)
% 0.66/0.81  % (4168)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 (2995ds/83Mi)
% 0.66/0.81  % (4162)Refutation not found, incomplete strategy% (4162)------------------------------
% 0.66/0.81  % (4162)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4165)Refutation not found, incomplete strategy% (4165)------------------------------
% 0.66/0.81  % (4165)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4165)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4165)Memory used [KB]: 989
% 0.66/0.81  % (4165)Time elapsed: 0.003 s
% 0.66/0.81  % (4165)Instructions burned: 4 (million)
% 0.66/0.81  % (4165)------------------------------
% 0.66/0.81  % (4165)------------------------------
% 0.66/0.81  % (4162)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4162)Memory used [KB]: 998
% 0.66/0.81  % (4162)Time elapsed: 0.004 s
% 0.66/0.81  % (4162)Instructions burned: 4 (million)
% 0.66/0.81  % (4162)------------------------------
% 0.66/0.81  % (4162)------------------------------
% 0.66/0.81  % (4166)Refutation not found, incomplete strategy% (4166)------------------------------
% 0.66/0.81  % (4166)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4166)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4166)Memory used [KB]: 997
% 0.66/0.81  % (4166)Time elapsed: 0.004 s
% 0.66/0.81  % (4166)Instructions burned: 4 (million)
% 0.66/0.81  % (4166)------------------------------
% 0.66/0.81  % (4166)------------------------------
% 0.66/0.81  % (4167)Refutation not found, incomplete strategy% (4167)------------------------------
% 0.66/0.81  % (4167)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4164)Refutation not found, incomplete strategy% (4164)------------------------------
% 0.66/0.81  % (4164)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.81  % (4164)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4164)Memory used [KB]: 1052
% 0.66/0.81  % (4164)Time elapsed: 0.004 s
% 0.66/0.81  % (4164)Instructions burned: 5 (million)
% 0.66/0.81  % (4164)------------------------------
% 0.66/0.81  % (4164)------------------------------
% 0.66/0.81  % (4167)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.81  
% 0.66/0.81  % (4167)Memory used [KB]: 986
% 0.66/0.81  % (4167)Time elapsed: 0.004 s
% 0.66/0.81  % (4167)Instructions burned: 5 (million)
% 0.66/0.81  % (4167)------------------------------
% 0.66/0.81  % (4167)------------------------------
% 0.66/0.81  % (4173)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 (2995ds/55Mi)
% 0.66/0.82  % (4168)Refutation not found, incomplete strategy% (4168)------------------------------
% 0.66/0.82  % (4168)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4168)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4168)Memory used [KB]: 1066
% 0.66/0.82  % (4168)Time elapsed: 0.005 s
% 0.66/0.82  % (4168)Instructions burned: 6 (million)
% 0.66/0.82  % (4168)------------------------------
% 0.66/0.82  % (4168)------------------------------
% 0.66/0.82  % (4173)Refutation not found, incomplete strategy% (4173)------------------------------
% 0.66/0.82  % (4173)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4173)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4173)Memory used [KB]: 1062
% 0.66/0.82  % (4173)Time elapsed: 0.003 s
% 0.66/0.82  % (4173)Instructions burned: 5 (million)
% 0.66/0.82  % (4173)------------------------------
% 0.66/0.82  % (4173)------------------------------
% 0.66/0.82  % (4174)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 (2995ds/50Mi)
% 0.66/0.82  % (4175)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 (2995ds/208Mi)
% 0.66/0.82  % (4177)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 (2995ds/52Mi)
% 0.66/0.82  % (4178)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 (2995ds/518Mi)
% 0.66/0.82  % (4179)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 (2995ds/42Mi)
% 0.66/0.82  % (4182)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 (2995ds/117Mi)
% 0.66/0.82  % (4180)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 (2995ds/243Mi)
% 0.66/0.82  % (4182)Refutation not found, incomplete strategy% (4182)------------------------------
% 0.66/0.82  % (4182)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4182)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4182)Memory used [KB]: 984
% 0.66/0.82  % (4182)Time elapsed: 0.002 s
% 0.66/0.82  % (4182)Instructions burned: 4 (million)
% 0.66/0.82  % (4182)------------------------------
% 0.66/0.82  % (4182)------------------------------
% 0.66/0.82  % (4174)Refutation not found, incomplete strategy% (4174)------------------------------
% 0.66/0.82  % (4174)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4174)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4174)Memory used [KB]: 990
% 0.66/0.82  % (4174)Time elapsed: 0.004 s
% 0.66/0.82  % (4174)Instructions burned: 5 (million)
% 0.66/0.82  % (4174)------------------------------
% 0.66/0.82  % (4174)------------------------------
% 0.66/0.82  % (4179)Refutation not found, incomplete strategy% (4179)------------------------------
% 0.66/0.82  % (4179)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4179)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4179)Memory used [KB]: 1004
% 0.66/0.82  % (4179)Time elapsed: 0.003 s
% 0.66/0.82  % (4179)Instructions burned: 4 (million)
% 0.66/0.82  % (4179)------------------------------
% 0.66/0.82  % (4179)------------------------------
% 0.66/0.82  % (4177)Refutation not found, incomplete strategy% (4177)------------------------------
% 0.66/0.82  % (4177)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4177)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4177)Memory used [KB]: 1052
% 0.66/0.82  % (4177)Time elapsed: 0.004 s
% 0.66/0.82  % (4177)Instructions burned: 5 (million)
% 0.66/0.82  % (4178)Refutation not found, incomplete strategy% (4178)------------------------------
% 0.66/0.82  % (4178)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4178)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4178)Memory used [KB]: 986
% 0.66/0.82  % (4178)Time elapsed: 0.005 s
% 0.66/0.82  % (4178)Instructions burned: 5 (million)
% 0.66/0.82  % (4178)------------------------------
% 0.66/0.82  % (4178)------------------------------
% 0.66/0.82  % (4177)------------------------------
% 0.66/0.82  % (4177)------------------------------
% 0.66/0.82  % (4185)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 (2995ds/143Mi)
% 0.66/0.82  % (4175)Refutation not found, incomplete strategy% (4175)------------------------------
% 0.66/0.82  % (4175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4175)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4175)Memory used [KB]: 1082
% 0.66/0.82  % (4175)Time elapsed: 0.007 s
% 0.66/0.82  % (4175)Instructions burned: 10 (million)
% 0.66/0.82  % (4175)------------------------------
% 0.66/0.82  % (4175)------------------------------
% 0.66/0.82  % (4185)Refutation not found, incomplete strategy% (4185)------------------------------
% 0.66/0.82  % (4185)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.82  % (4185)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.82  
% 0.66/0.82  % (4185)Memory used [KB]: 1000
% 0.66/0.82  % (4185)Time elapsed: 0.002 s
% 0.66/0.82  % (4185)Instructions burned: 4 (million)
% 0.66/0.82  % (4185)------------------------------
% 0.66/0.82  % (4185)------------------------------
% 0.66/0.83  % (4186)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 (2995ds/93Mi)
% 0.66/0.83  % (4187)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 (2995ds/62Mi)
% 0.66/0.83  % (4188)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 (2995ds/32Mi)
% 0.66/0.83  % (4189)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 (2995ds/1919Mi)
% 0.66/0.83  % (4192)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 (2995ds/53Mi)
% 0.66/0.83  % (4187)Refutation not found, incomplete strategy% (4187)------------------------------
% 0.66/0.83  % (4187)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (4187)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83  
% 0.66/0.83  % (4187)Memory used [KB]: 984
% 0.66/0.83  % (4187)Time elapsed: 0.004 s
% 0.66/0.83  % (4187)Instructions burned: 3 (million)
% 0.66/0.83  % (4187)------------------------------
% 0.66/0.83  % (4187)------------------------------
% 0.66/0.83  % (4191)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 (2995ds/55Mi)
% 0.66/0.83  % (4189)Refutation not found, incomplete strategy% (4189)------------------------------
% 0.66/0.83  % (4189)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (4189)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83  
% 0.66/0.83  % (4189)Memory used [KB]: 1053
% 0.66/0.83  % (4189)Time elapsed: 0.004 s
% 0.66/0.83  % (4189)Instructions burned: 5 (million)
% 0.66/0.83  % (4189)------------------------------
% 0.66/0.83  % (4189)------------------------------
% 0.66/0.83  % (4191)Refutation not found, incomplete strategy% (4191)------------------------------
% 0.66/0.83  % (4191)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (4191)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.83  
% 0.66/0.83  % (4191)Memory used [KB]: 1005
% 0.66/0.83  % (4191)Time elapsed: 0.004 s
% 0.66/0.83  % (4191)Instructions burned: 5 (million)
% 0.66/0.83  % (4191)------------------------------
% 0.66/0.83  % (4191)------------------------------
% 0.66/0.83  % (4197)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 (2995ds/102Mi)
% 0.66/0.83  % (4199)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 (2995ds/35Mi)
% 0.76/0.84  % (4195)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 (2995ds/46Mi)
% 0.76/0.84  % (4197)Refutation not found, incomplete strategy% (4197)------------------------------
% 0.76/0.84  % (4197)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (4197)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.84  
% 0.76/0.84  % (4197)Memory used [KB]: 1069
% 0.76/0.84  % (4197)Time elapsed: 0.006 s
% 0.76/0.84  % (4197)Instructions burned: 6 (million)
% 0.76/0.84  % (4197)------------------------------
% 0.76/0.84  % (4197)------------------------------
% 0.76/0.84  % (4163)First to succeed.
% 0.76/0.84  % (4195)Refutation not found, incomplete strategy% (4195)------------------------------
% 0.76/0.84  % (4195)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (4195)Termination reason: Refutation not found, incomplete strategy
% 0.76/0.84  
% 0.76/0.84  % (4195)Memory used [KB]: 997
% 0.76/0.84  % (4195)Time elapsed: 0.003 s
% 0.76/0.84  % (4195)Instructions burned: 4 (million)
% 0.76/0.84  % (4195)------------------------------
% 0.76/0.84  % (4195)------------------------------
% 0.76/0.84  % (4203)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2995ds/87Mi)
% 0.76/0.84  % (4188)Instruction limit reached!
% 0.76/0.84  % (4188)------------------------------
% 0.76/0.84  % (4188)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (4188)Termination reason: Unknown
% 0.76/0.84  % (4188)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (4188)Memory used [KB]: 1430
% 0.76/0.84  % (4188)Time elapsed: 0.017 s
% 0.76/0.84  % (4188)Instructions burned: 32 (million)
% 0.76/0.84  % (4188)------------------------------
% 0.76/0.84  % (4188)------------------------------
% 0.76/0.84  % (4192)Instruction limit reached!
% 0.76/0.84  % (4192)------------------------------
% 0.76/0.84  % (4192)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (4192)Termination reason: Unknown
% 0.76/0.84  % (4192)Termination phase: Saturation
% 0.76/0.84  
% 0.76/0.84  % (4192)Memory used [KB]: 1197
% 0.76/0.84  % (4192)Time elapsed: 0.016 s
% 0.76/0.84  % (4192)Instructions burned: 54 (million)
% 0.76/0.84  % (4192)------------------------------
% 0.76/0.84  % (4192)------------------------------
% 0.76/0.84  % (4163)Refutation found. Thanks to Tanya!
% 0.76/0.84  % SZS status Unsatisfiable for Vampire---4
% 0.76/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.76/0.84  % (4163)------------------------------
% 0.76/0.84  % (4163)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.76/0.84  % (4163)Termination reason: Refutation
% 0.76/0.84  
% 0.76/0.84  % (4163)Memory used [KB]: 1441
% 0.76/0.84  % (4163)Time elapsed: 0.031 s
% 0.76/0.84  % (4163)Instructions burned: 53 (million)
% 0.76/0.84  % (4163)------------------------------
% 0.76/0.84  % (4163)------------------------------
% 0.76/0.84  % (3953)Success in time 0.482 s
% 0.76/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------