TSTP Solution File: GRP294-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP294-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n013.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 02:28:25 EDT 2024

% Result   : Unsatisfiable 0.50s 0.68s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   51
% Syntax   : Number of formulae    :  208 (   4 unt;   0 def)
%            Number of atoms       :  755 ( 229 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1064 ( 517   ~; 530   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   44 (  44   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1209,plain,
    $false,
    inference(avatar_sat_refutation,[],[f43,f48,f53,f58,f63,f68,f69,f70,f71,f72,f77,f78,f79,f80,f81,f86,f87,f88,f89,f90,f95,f96,f97,f98,f99,f104,f105,f106,f107,f108,f121,f317,f345,f432,f469,f504,f862,f884,f995,f1021,f1048,f1050,f1186,f1208]) ).

fof(f1208,plain,
    ( spl0_2
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(avatar_contradiction_clause,[],[f1207]) ).

fof(f1207,plain,
    ( $false
    | spl0_2
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f1206]) ).

fof(f1206,plain,
    ( sk_c6 != sk_c6
    | spl0_2
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(superposition,[],[f1205,f1187]) ).

fof(f1187,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f840,f859]) ).

fof(f859,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f858,plain,
    ( spl0_24
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f840,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f839,plain,
    ( spl0_20
  <=> sk_c7 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1205,plain,
    ( sk_c6 != sk_c5
    | spl0_2
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1204,f1203]) ).

fof(f1203,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1198,f859]) ).

fof(f1198,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_9
    | ~ spl0_20
    | ~ spl0_24 ),
    inference(superposition,[],[f85,f1187]) ).

fof(f85,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1204,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | spl0_2
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f41,f859]) ).

fof(f41,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f40,plain,
    ( spl0_2
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1186,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1170,f119,f60,f55]) ).

fof(f55,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f60,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f119,plain,
    ( spl0_15
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1170,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f1169]) ).

fof(f1169,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_6
    | ~ spl0_15 ),
    inference(superposition,[],[f120,f62]) ).

fof(f62,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f120,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f1050,plain,
    ( spl0_20
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f911,f74,f65,f36,f839]) ).

fof(f36,plain,
    ( spl0_1
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f65,plain,
    ( spl0_7
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f74,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f911,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f595,f38]) ).

fof(f38,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f595,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f519,f67]) ).

fof(f67,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f519,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f518,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',left_identity) ).

fof(f518,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f508]) ).

fof(f508,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f76]) ).

fof(f76,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',associativity) ).

fof(f1048,plain,
    ( ~ spl0_24
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1047,f858,f113,f74,f65,f36,f858]) ).

fof(f113,plain,
    ( spl0_13
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1047,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f1035,f76]) ).

fof(f1035,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f1033]) ).

fof(f1033,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(superposition,[],[f1024,f867]) ).

fof(f867,plain,
    ( sk_c6 = multiply(sk_c1,sk_c6)
    | ~ spl0_7
    | ~ spl0_24 ),
    inference(superposition,[],[f67,f859]) ).

fof(f1024,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1023,f885]) ).

fof(f885,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f866,f880]) ).

fof(f880,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f877,f859]) ).

fof(f877,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_24 ),
    inference(superposition,[],[f519,f867]) ).

fof(f866,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_24 ),
    inference(superposition,[],[f38,f859]) ).

fof(f1023,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f1022,f859]) ).

fof(f1022,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_13
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f114,f859]) ).

fof(f114,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f1021,plain,
    ( ~ spl0_24
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f1020,f858,f110,f74,f65,f858]) ).

fof(f110,plain,
    ( spl0_12
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1020,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(superposition,[],[f1008,f76]) ).

fof(f1008,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f1006]) ).

fof(f1006,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(superposition,[],[f997,f867]) ).

fof(f997,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f996,f859]) ).

fof(f996,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_12
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f111,f859]) ).

fof(f111,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f995,plain,
    ( ~ spl0_24
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f994,f858,f119,f74,f65,f36,f858]) ).

fof(f994,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(superposition,[],[f979,f76]) ).

fof(f979,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f977]) ).

fof(f977,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(superposition,[],[f968,f867]) ).

fof(f968,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_15
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f120,f885]) ).

fof(f884,plain,
    ( ~ spl0_24
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(avatar_split_clause,[],[f883,f858,f116,f74,f65,f858]) ).

fof(f116,plain,
    ( spl0_14
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f883,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(superposition,[],[f882,f76]) ).

fof(f882,plain,
    ( sk_c6 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(trivial_inequality_removal,[],[f881]) ).

fof(f881,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(forward_demodulation,[],[f878,f859]) ).

fof(f878,plain,
    ( sk_c7 != sk_c6
    | sk_c6 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_14
    | ~ spl0_24 ),
    inference(superposition,[],[f117,f867]) ).

fof(f117,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f862,plain,
    ( spl0_24
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f726,f101,f92,f83,f858]) ).

fof(f92,plain,
    ( spl0_10
  <=> sk_c5 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f101,plain,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f726,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f720,f85]) ).

fof(f720,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f522,f94]) ).

fof(f94,plain,
    ( sk_c5 = multiply(sk_c2,sk_c7)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f92]) ).

fof(f522,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f521,f1]) ).

fof(f521,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f509]) ).

fof(f509,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f103]) ).

fof(f103,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f101]) ).

fof(f504,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f503,f116,f60,f55,f50,f45,f40,f50]) ).

fof(f45,plain,
    ( spl0_3
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f50,plain,
    ( spl0_4
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f503,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f482,f295]) ).

fof(f295,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f277,f293]) ).

fof(f293,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f273,f290]) ).

fof(f290,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f269,f257]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f150,f135]) ).

fof(f135,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f122]) ).

fof(f122,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f150,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c6,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f148]) ).

fof(f148,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f145,f140]) ).

fof(f140,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f137,f42]) ).

fof(f42,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f137,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f135,f47]) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f145,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f136,f62]) ).

fof(f136,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f129,f1]) ).

fof(f129,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f57]) ).

fof(f57,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f269,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f257,f142]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c6,X0)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f137]) ).

fof(f273,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f257,f182]) ).

fof(f182,plain,
    ( identity = multiply(sk_c6,multiply(sk_c7,sk_c3))
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f135,f161]) ).

fof(f161,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c3,identity)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f130,f122]) ).

fof(f130,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f47]) ).

fof(f277,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f257,f123]) ).

fof(f482,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f481]) ).

fof(f481,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f470,f272]) ).

fof(f272,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f257,f136]) ).

fof(f470,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f117,f274]) ).

fof(f274,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f257,f137]) ).

fof(f469,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f468,f113,f60,f55,f50,f45,f40,f50]) ).

fof(f468,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f447,f295]) ).

fof(f447,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f446]) ).

fof(f446,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f435,f272]) ).

fof(f435,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f434,f140]) ).

fof(f434,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f433,f274]) ).

fof(f433,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f114,f274]) ).

fof(f432,plain,
    ( ~ spl0_4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f431,f110,f60,f55,f50,f45,f40,f50]) ).

fof(f431,plain,
    ( sk_c6 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f402,f295]) ).

fof(f402,plain,
    ( sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f401]) ).

fof(f401,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f347,f272]) ).

fof(f347,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f346,f274]) ).

fof(f346,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f111,f274]) ).

fof(f345,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(avatar_contradiction_clause,[],[f344]) ).

fof(f344,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(trivial_inequality_removal,[],[f340]) ).

fof(f340,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(superposition,[],[f327,f148]) ).

fof(f327,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | spl0_9 ),
    inference(forward_demodulation,[],[f326,f274]) ).

fof(f326,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_9 ),
    inference(forward_demodulation,[],[f84,f140]) ).

fof(f84,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f317,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_contradiction_clause,[],[f316]) ).

fof(f316,plain,
    ( $false
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(trivial_inequality_removal,[],[f314]) ).

fof(f314,plain,
    ( sk_c6 != sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f179,f274]) ).

fof(f179,plain,
    ( sk_c7 != sk_c6
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f176,f140]) ).

fof(f176,plain,
    ( sk_c7 != sk_c5
    | spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f37,f170]) ).

fof(f170,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f160,f47]) ).

fof(f160,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f130,f148]) ).

fof(f37,plain,
    ( multiply(sk_c7,sk_c6) != sk_c5
    | spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f121,plain,
    ( ~ spl0_1
    | spl0_12
    | ~ spl0_9
    | spl0_13
    | ~ spl0_2
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f34,f119,f116,f40,f113,f83,f110,f36]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X4)
      | sk_c5 != multiply(X4,sk_c7)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c7,sk_c6) != sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_31) ).

fof(f108,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f33,f60,f101]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_30) ).

fof(f107,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f32,f55,f101]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_29) ).

fof(f106,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f31,f50,f101]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_28) ).

fof(f105,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f30,f45,f101]) ).

fof(f30,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_27) ).

fof(f104,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f29,f40,f101]) ).

fof(f29,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_26) ).

fof(f99,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f60,f92]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_25) ).

fof(f98,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f55,f92]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_24) ).

fof(f97,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f50,f92]) ).

fof(f26,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_23) ).

fof(f96,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f45,f92]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_22) ).

fof(f95,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f40,f92]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_21) ).

fof(f90,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f60,f83]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_20) ).

fof(f89,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f55,f83]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_19) ).

fof(f88,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f50,f83]) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_18) ).

fof(f87,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f45,f83]) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_17) ).

fof(f86,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f40,f83]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_16) ).

fof(f81,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f60,f74]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_15) ).

fof(f80,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f55,f74]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_14) ).

fof(f79,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f50,f74]) ).

fof(f16,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_13) ).

fof(f78,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f45,f74]) ).

fof(f15,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_12) ).

fof(f77,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f40,f74]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_11) ).

fof(f72,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f13,f60,f65]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_10) ).

fof(f71,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f55,f65]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_9) ).

fof(f70,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f50,f65]) ).

fof(f11,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_8) ).

fof(f69,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f45,f65]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_7) ).

fof(f68,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f40,f65]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_6) ).

fof(f63,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f60,f36]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_5) ).

fof(f58,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f55,f36]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_4) ).

fof(f53,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f50,f36]) ).

fof(f6,axiom,
    ( sk_c6 = inverse(sk_c3)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_3) ).

fof(f48,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f45,f36]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_2) ).

fof(f43,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f40,f36]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c7,sk_c6) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP294-1 : TPTP v8.1.2. Released v2.5.0.
% 0.14/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:17:34 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.I7FP6SoBBV/Vampire---4.8_25744
% 0.50/0.66  % (26006)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 (2997ds/83Mi)
% 0.50/0.66  % (26000)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 (2997ds/34Mi)
% 0.50/0.66  % (26001)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 (2997ds/51Mi)
% 0.50/0.66  % (26003)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2997ds/33Mi)
% 0.50/0.66  % (26002)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2997ds/78Mi)
% 0.50/0.66  % (26004)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 (2997ds/34Mi)
% 0.50/0.66  % (26005)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2997ds/45Mi)
% 0.50/0.66  % (26000)Refutation not found, incomplete strategy% (26000)------------------------------
% 0.50/0.66  % (26000)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.66  % (26003)Refutation not found, incomplete strategy% (26003)------------------------------
% 0.50/0.66  % (26003)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.66  % (26003)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.66  % (26003)Memory used [KB]: 989
% 0.50/0.66  % (26003)Time elapsed: 0.003 s
% 0.50/0.66  % (26003)Instructions burned: 3 (million)
% 0.50/0.66  % (26003)------------------------------
% 0.50/0.66  % (26003)------------------------------
% 0.50/0.66  % (26000)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.66  % (26000)Memory used [KB]: 998
% 0.50/0.66  % (26000)Time elapsed: 0.003 s
% 0.50/0.66  % (26000)Instructions burned: 4 (million)
% 0.50/0.66  % (26000)------------------------------
% 0.50/0.66  % (26000)------------------------------
% 0.50/0.66  % (26004)Refutation not found, incomplete strategy% (26004)------------------------------
% 0.50/0.66  % (26004)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.66  % (26004)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.66  % (26004)Memory used [KB]: 997
% 0.50/0.66  % (26004)Time elapsed: 0.003 s
% 0.50/0.66  % (26004)Instructions burned: 4 (million)
% 0.50/0.66  % (26004)------------------------------
% 0.50/0.66  % (26004)------------------------------
% 0.50/0.66  % (26005)Refutation not found, incomplete strategy% (26005)------------------------------
% 0.50/0.66  % (26005)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.66  % (26005)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.66  % (26005)Memory used [KB]: 986
% 0.50/0.66  % (26005)Time elapsed: 0.004 s
% 0.50/0.66  % (26005)Instructions burned: 4 (million)
% 0.50/0.66  % (26005)------------------------------
% 0.50/0.66  % (26005)------------------------------
% 0.50/0.66  % (26002)Refutation not found, incomplete strategy% (26002)------------------------------
% 0.50/0.66  % (26002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.66  % (26002)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.66  
% 0.50/0.67  % (26002)Memory used [KB]: 1052
% 0.50/0.67  % (26002)Time elapsed: 0.004 s
% 0.50/0.67  % (26002)Instructions burned: 5 (million)
% 0.50/0.67  % (26002)------------------------------
% 0.50/0.67  % (26002)------------------------------
% 0.50/0.67  % (26007)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 (2997ds/56Mi)
% 0.50/0.67  % (26008)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 (2997ds/55Mi)
% 0.50/0.67  % (26010)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 (2997ds/208Mi)
% 0.50/0.67  % (26011)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 (2997ds/52Mi)
% 0.50/0.67  % (26012)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 (2997ds/518Mi)
% 0.50/0.67  % (26007)Refutation not found, incomplete strategy% (26007)------------------------------
% 0.50/0.67  % (26007)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.67  % (26007)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.67  
% 0.50/0.67  % (26007)Memory used [KB]: 983
% 0.50/0.67  % (26007)Time elapsed: 0.004 s
% 0.50/0.67  % (26007)Instructions burned: 3 (million)
% 0.50/0.67  % (26007)------------------------------
% 0.50/0.67  % (26007)------------------------------
% 0.50/0.67  % (26008)Refutation not found, incomplete strategy% (26008)------------------------------
% 0.50/0.67  % (26008)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.67  % (26008)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.67  
% 0.50/0.67  % (26008)Memory used [KB]: 1062
% 0.50/0.67  % (26008)Time elapsed: 0.005 s
% 0.50/0.67  % (26008)Instructions burned: 5 (million)
% 0.50/0.67  % (26008)------------------------------
% 0.50/0.67  % (26008)------------------------------
% 0.50/0.67  % (26011)Refutation not found, incomplete strategy% (26011)------------------------------
% 0.50/0.67  % (26011)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.67  % (26012)Refutation not found, incomplete strategy% (26012)------------------------------
% 0.50/0.67  % (26012)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.67  % (26011)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.67  
% 0.50/0.67  % (26011)Memory used [KB]: 1052
% 0.50/0.67  % (26011)Time elapsed: 0.005 s
% 0.50/0.67  % (26011)Instructions burned: 5 (million)
% 0.50/0.67  % (26011)------------------------------
% 0.50/0.67  % (26011)------------------------------
% 0.50/0.67  % (26012)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.67  
% 0.50/0.67  % (26012)Memory used [KB]: 985
% 0.50/0.67  % (26012)Time elapsed: 0.004 s
% 0.50/0.67  % (26012)Instructions burned: 4 (million)
% 0.50/0.67  % (26012)------------------------------
% 0.50/0.67  % (26012)------------------------------
% 0.50/0.68  % (26013)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 (2996ds/42Mi)
% 0.50/0.68  % (26010)Refutation not found, incomplete strategy% (26010)------------------------------
% 0.50/0.68  % (26010)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26009)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 (2997ds/50Mi)
% 0.50/0.68  % (26010)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26010)Memory used [KB]: 1107
% 0.50/0.68  % (26010)Time elapsed: 0.009 s
% 0.50/0.68  % (26010)Instructions burned: 14 (million)
% 0.50/0.68  % (26010)------------------------------
% 0.50/0.68  % (26010)------------------------------
% 0.50/0.68  % (26015)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 (2996ds/117Mi)
% 0.50/0.68  % (26016)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 (2996ds/143Mi)
% 0.50/0.68  % (26013)Refutation not found, incomplete strategy% (26013)------------------------------
% 0.50/0.68  % (26013)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26013)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26013)Memory used [KB]: 1004
% 0.50/0.68  % (26013)Time elapsed: 0.003 s
% 0.50/0.68  % (26013)Instructions burned: 4 (million)
% 0.50/0.68  % (26013)------------------------------
% 0.50/0.68  % (26013)------------------------------
% 0.50/0.68  % (26015)Refutation not found, incomplete strategy% (26015)------------------------------
% 0.50/0.68  % (26015)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26015)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26015)Memory used [KB]: 984
% 0.50/0.68  % (26015)Time elapsed: 0.004 s
% 0.50/0.68  % (26015)Instructions burned: 3 (million)
% 0.50/0.68  % (26015)------------------------------
% 0.50/0.68  % (26015)------------------------------
% 0.50/0.68  % (26016)Refutation not found, incomplete strategy% (26016)------------------------------
% 0.50/0.68  % (26016)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26009)Refutation not found, incomplete strategy% (26009)------------------------------
% 0.50/0.68  % (26009)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26009)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26009)Memory used [KB]: 991
% 0.50/0.68  % (26009)Time elapsed: 0.004 s
% 0.50/0.68  % (26009)Instructions burned: 5 (million)
% 0.50/0.68  % (26009)------------------------------
% 0.50/0.68  % (26009)------------------------------
% 0.50/0.68  % (26016)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26016)Memory used [KB]: 999
% 0.50/0.68  % (26016)Time elapsed: 0.003 s
% 0.50/0.68  % (26016)Instructions burned: 3 (million)
% 0.50/0.68  % (26016)------------------------------
% 0.50/0.68  % (26016)------------------------------
% 0.50/0.68  % (26001)First to succeed.
% 0.50/0.68  % (26017)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 (2996ds/93Mi)
% 0.50/0.68  % (26018)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 (2996ds/62Mi)
% 0.50/0.68  % (26019)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 (2996ds/32Mi)
% 0.50/0.68  % (26014)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 (2996ds/243Mi)
% 0.50/0.68  % (26020)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 (2996ds/1919Mi)
% 0.50/0.68  % (26018)Refutation not found, incomplete strategy% (26018)------------------------------
% 0.50/0.68  % (26018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.68  % (26018)Termination reason: Refutation not found, incomplete strategy
% 0.50/0.68  
% 0.50/0.68  % (26018)Memory used [KB]: 984
% 0.50/0.68  % (26018)Time elapsed: 0.004 s
% 0.50/0.68  % (26021)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 (2996ds/55Mi)
% 0.50/0.68  % (26018)Instructions burned: 3 (million)
% 0.50/0.68  % (26018)------------------------------
% 0.50/0.68  % (26018)------------------------------
% 0.50/0.68  % (26001)Refutation found. Thanks to Tanya!
% 0.50/0.68  % SZS status Unsatisfiable for Vampire---4
% 0.50/0.68  % SZS output start Proof for Vampire---4
% See solution above
% 0.50/0.69  % (26001)------------------------------
% 0.50/0.69  % (26001)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.50/0.69  % (26001)Termination reason: Refutation
% 0.50/0.69  
% 0.50/0.69  % (26001)Memory used [KB]: 1292
% 0.50/0.69  % (26001)Time elapsed: 0.023 s
% 0.50/0.69  % (26001)Instructions burned: 38 (million)
% 0.50/0.69  % (26001)------------------------------
% 0.50/0.69  % (26001)------------------------------
% 0.50/0.69  % (25996)Success in time 0.311 s
% 0.50/0.69  % Vampire---4.8 exiting
%------------------------------------------------------------------------------