%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP253-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n001.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 Aug 31 16:15:02 EDT 2022

% Result   : Unsatisfiable 1.43s 0.55s
% Output   : Refutation 1.43s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  144 (   6 unt;   0 def)
%            Number of atoms       :  404 ( 146 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  486 ( 226   ~; 245   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   27 (  27   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f440,plain,
    $false,
    inference(avatar_sat_refutation,[],[f31,f40,f45,f50,f51,f56,f57,f67,f72,f77,f78,f79,f80,f82,f83,f84,f85,f86,f90,f113,f179,f276,f293,f337,f344,f357,f409,f417,f439]) ).

fof(f439,plain,
    ( ~ spl0_2
    | spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f438]) ).

fof(f438,plain,
    ( $false
    | ~ spl0_2
    | spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f437,f425]) ).

fof(f425,plain,
    ( identity != sk_c5
    | spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f95,f111]) ).

fof(f111,plain,
    ( identity = sk_c6
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_16
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f95,plain,
    ( sk_c6 != sk_c5
    | spl0_13 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl0_13
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f437,plain,
    ( identity = sk_c5
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f435,f1]) ).

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

fof(f435,plain,
    ( identity = multiply(identity,sk_c5)
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f427]) ).

fof(f427,plain,
    ( identity = inverse(sk_c5)
    | ~ spl0_2
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f30,f111]) ).

fof(f30,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f28,plain,
    ( spl0_2
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

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

fof(f417,plain,
    ( ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f416]) ).

fof(f416,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f381,f347]) ).

fof(f347,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f346,f111]) ).

fof(f346,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f30,f94]) ).

fof(f94,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f381,plain,
    ( identity != inverse(identity)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f377]) ).

fof(f377,plain,
    ( identity != identity
    | identity != inverse(identity)
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f365,f1]) ).

fof(f365,plain,
    ( ! [X4] :
        ( identity != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f364,f111]) ).

fof(f364,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f363,f94]) ).

fof(f363,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,identity)
        | identity != inverse(X4) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f362,f111]) ).

fof(f362,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,identity) )
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f66,f111]) ).

fof(f66,plain,
    ( ! [X4] :
        ( sk_c5 != multiply(X4,sk_c6)
        | sk_c6 != inverse(X4) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_10
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c5 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f409,plain,
    ( ~ spl0_2
    | ~ spl0_13
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f408]) ).

fof(f408,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_13
    | spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f407,f347]) ).

fof(f407,plain,
    ( identity != inverse(identity)
    | spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f108,f111]) ).

fof(f108,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f106,plain,
    ( spl0_15
  <=> sk_c6 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f357,plain,
    ( ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f356]) ).

fof(f356,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f355,f111]) ).

fof(f355,plain,
    ( identity != sk_c6
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f351,f49]) ).

fof(f49,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_6
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f351,plain,
    ( sk_c7 != inverse(sk_c1)
    | identity != sk_c6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f345,f71]) ).

fof(f71,plain,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f69,plain,
    ( spl0_11
  <=> multiply(sk_c1,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f345,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f60,f111]) ).

fof(f60,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl0_8
  <=> ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f344,plain,
    ( spl0_2
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f343]) ).

fof(f343,plain,
    ( $false
    | spl0_2
    | ~ spl0_13
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f342,f341]) ).

fof(f341,plain,
    ( identity = inverse(identity)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f107,f111]) ).

fof(f107,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f342,plain,
    ( identity != inverse(identity)
    | spl0_2
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f278,f111]) ).

fof(f278,plain,
    ( sk_c6 != inverse(sk_c6)
    | spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f29,f94]) ).

fof(f29,plain,
    ( sk_c6 != inverse(sk_c5)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f28]) ).

fof(f337,plain,
    ( ~ spl0_12
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl0_12
    | spl0_15
    | ~ spl0_16 ),
    inference(subsumption_resolution,[],[f335,f308]) ).

fof(f308,plain,
    ( identity != inverse(identity)
    | spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f108,f111]) ).

fof(f335,plain,
    ( identity = inverse(identity)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f333,f111]) ).

fof(f333,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f76,f319]) ).

fof(f319,plain,
    ( identity = sk_c2
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f310,f1]) ).

fof(f310,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f189,f111]) ).

fof(f189,plain,
    ( identity = multiply(sk_c6,sk_c2)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f76]) ).

fof(f76,plain,
    ( sk_c6 = inverse(sk_c2)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_12
  <=> sk_c6 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f293,plain,
    ( ~ spl0_4
    | ~ spl0_12
    | ~ spl0_13
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f292]) ).

fof(f292,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_13
    | spl0_16 ),
    inference(subsumption_resolution,[],[f291,f112]) ).

fof(f112,plain,
    ( identity != sk_c6
    | spl0_16 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f291,plain,
    ( identity = sk_c6
    | ~ spl0_4
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f290,f94]) ).

fof(f290,plain,
    ( identity = sk_c5
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f288,f2]) ).

fof(f288,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c6)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(superposition,[],[f121,f200]) ).

fof(f200,plain,
    ( sk_c6 = multiply(sk_c6,sk_c5)
    | ~ spl0_4
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f198,f76]) ).

fof(f198,plain,
    ( sk_c6 = multiply(inverse(sk_c2),sk_c5)
    | ~ spl0_4 ),
    inference(superposition,[],[f121,f39]) ).

fof(f39,plain,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_4
  <=> sk_c5 = multiply(sk_c2,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f121,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f116,f1]) ).

fof(f116,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

fof(f276,plain,
    ( spl0_13
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f272,f69,f47,f42,f24,f93]) ).

fof(f24,plain,
    ( spl0_1
  <=> sk_c6 = multiply(sk_c3,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f42,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f272,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f271,f71]) ).

fof(f271,plain,
    ( multiply(sk_c1,sk_c7) = sk_c5
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f257,f203]) ).

fof(f203,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f201,f49]) ).

fof(f201,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c6)
    | ~ spl0_11 ),
    inference(superposition,[],[f121,f71]) ).

fof(f257,plain,
    ( sk_c5 = multiply(sk_c1,multiply(sk_c7,sk_c6))
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_11 ),
    inference(superposition,[],[f202,f195]) ).

fof(f195,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f192,f44]) ).

fof(f44,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f192,plain,
    ( sk_c5 = multiply(inverse(sk_c3),sk_c6)
    | ~ spl0_1 ),
    inference(superposition,[],[f121,f26]) ).

fof(f26,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f24]) ).

fof(f202,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f71]) ).

fof(f179,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | spl0_16 ),
    inference(avatar_contradiction_clause,[],[f178]) ).

fof(f178,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | spl0_16 ),
    inference(subsumption_resolution,[],[f177,f112]) ).

fof(f177,plain,
    ( identity = sk_c6
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f168,f2]) ).

fof(f168,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f121,f151]) ).

fof(f151,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f126,f55]) ).

fof(f55,plain,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f53,plain,
    ( spl0_7
  <=> sk_c6 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f126,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c4,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f125,f1]) ).

fof(f125,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f102]) ).

fof(f102,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f35]) ).

fof(f35,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f33]) ).

fof(f33,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f113,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(avatar_split_clause,[],[f104,f62,f28,f110,f106]) ).

fof(f62,plain,
    ( spl0_9
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f104,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(sk_c6)
    | ~ spl0_2
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f103,f30]) ).

fof(f103,plain,
    ( sk_c6 != inverse(inverse(sk_c5))
    | identity != sk_c6
    | ~ spl0_9 ),
    inference(superposition,[],[f63,f2]) ).

fof(f63,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c5)
        | sk_c6 != inverse(X5) )
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f90,plain,
    ( ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_contradiction_clause,[],[f89]) ).

fof(f89,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(subsumption_resolution,[],[f88,f35]) ).

fof(f88,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(trivial_inequality_removal,[],[f87]) ).

fof(f87,plain,
    ( sk_c7 != inverse(sk_c4)
    | sk_c6 != sk_c6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f60,f55]) ).

fof(f86,plain,
    ( spl0_3
    | spl0_12 ),
    inference(avatar_split_clause,[],[f14,f74,f33]) ).

fof(f14,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f85,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f20,f24,f33]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f84,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f33,f69]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c4)
    | multiply(sk_c1,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f83,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f7,f53,f47]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f82,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f53,f37]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c5 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f80,plain,
    ( spl0_5
    | spl0_7 ),
    inference(avatar_split_clause,[],[f16,f53,f42]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f79,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f13,f74,f53]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f78,plain,
    ( spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f4,f69,f53]) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f77,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f15,f28,f74]) ).

fof(f15,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f72,plain,
    ( spl0_2
    | spl0_11 ),
    inference(avatar_split_clause,[],[f6,f69,f28]) ).

fof(f6,axiom,
    ( multiply(sk_c1,sk_c7) = sk_c6
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f67,plain,
    ( ~ spl0_2
    | spl0_8
    | spl0_9
    | spl0_8
    | spl0_10 ),
    inference(avatar_split_clause,[],[f22,f65,f59,f62,f59,f28]) ).

fof(f22,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != inverse(X4)
      | sk_c7 != inverse(X6)
      | sk_c6 != multiply(X6,sk_c7)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X4,sk_c6)
      | sk_c6 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c6 != inverse(sk_c5)
      | sk_c6 != multiply(X5,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f57,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f28,f42]) ).

fof(f18,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f56,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f19,f53,f24]) ).

fof(f19,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f51,plain,
    ( spl0_2
    | spl0_6 ),
    inference(avatar_split_clause,[],[f9,f47,f28]) ).

fof(f9,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f50,plain,
    ( spl0_6
    | spl0_3 ),
    inference(avatar_split_clause,[],[f8,f33,f47]) ).

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

fof(f45,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f42,f33]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f40,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f37,f33]) ).

fof(f11,axiom,
    ( sk_c5 = multiply(sk_c2,sk_c6)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f31,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f28,f24]) ).

fof(f21,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c6 = multiply(sk_c3,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : GRP253-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n001.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:44:00 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.49  % (5755)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.49  % (5772)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.19/0.50  % (5764)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (5753)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.51  % (5764)Instruction limit reached!
% 0.19/0.51  % (5764)------------------------------
% 0.19/0.51  % (5764)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (5764)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (5764)Termination reason: Unknown
% 0.19/0.52  % (5764)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (5764)Memory used [KB]: 5884
% 0.19/0.52  % (5764)Time elapsed: 0.107 s
% 0.19/0.52  % (5764)Instructions burned: 4 (million)
% 0.19/0.52  % (5764)------------------------------
% 0.19/0.52  % (5764)------------------------------
% 1.32/0.52  % (5765)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 1.32/0.52  % (5773)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 1.32/0.52  % (5750)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.32/0.52  % (5759)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.32/0.52  % (5755)Instruction limit reached!
% 1.32/0.52  % (5755)------------------------------
% 1.32/0.52  % (5755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52  % (5755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52  % (5755)Termination reason: Unknown
% 1.32/0.52  % (5755)Termination phase: Saturation
% 1.32/0.52  
% 1.32/0.52  % (5755)Memory used [KB]: 6140
% 1.32/0.52  % (5755)Time elapsed: 0.115 s
% 1.32/0.52  % (5755)Instructions burned: 26 (million)
% 1.32/0.52  % (5755)------------------------------
% 1.32/0.52  % (5755)------------------------------
% 1.32/0.52  % (5778)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.32/0.52  % (5757)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.32/0.52  % (5751)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.32/0.53  % (5776)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.32/0.53  % (5753)First to succeed.
% 1.32/0.53  % (5754)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.32/0.53  % (5767)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.53  % (5781)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.43/0.53  % (5767)Instruction limit reached!
% 1.43/0.53  % (5767)------------------------------
% 1.43/0.53  % (5767)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53  % (5767)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53  % (5767)Termination reason: Unknown
% 1.43/0.53  % (5767)Termination phase: Saturation
% 1.43/0.53  
% 1.43/0.53  % (5767)Memory used [KB]: 5884
% 1.43/0.53  % (5767)Time elapsed: 0.140 s
% 1.43/0.53  % (5767)Instructions burned: 3 (million)
% 1.43/0.53  % (5767)------------------------------
% 1.43/0.53  % (5767)------------------------------
% 1.43/0.53  % (5763)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.43/0.53  % (5759)Instruction limit reached!
% 1.43/0.53  % (5759)------------------------------
% 1.43/0.53  % (5759)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.53  % (5759)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.53  % (5759)Termination reason: Unknown
% 1.43/0.53  % (5759)Termination phase: Saturation
% 1.43/0.53  
% 1.43/0.53  % (5759)Memory used [KB]: 5884
% 1.43/0.53  % (5759)Time elapsed: 0.103 s
% 1.43/0.53  % (5759)Instructions burned: 4 (million)
% 1.43/0.53  % (5759)------------------------------
% 1.43/0.53  % (5759)------------------------------
% 1.43/0.53  % (5769)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.43/0.53  % (5771)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.43/0.53  % (5760)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.43/0.54  % (5763)Instruction limit reached!
% 1.43/0.54  % (5763)------------------------------
% 1.43/0.54  % (5763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (5763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (5763)Termination reason: Unknown
% 1.43/0.54  % (5763)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (5763)Memory used [KB]: 6012
% 1.43/0.54  % (5763)Time elapsed: 0.126 s
% 1.43/0.54  % (5763)Instructions burned: 6 (million)
% 1.43/0.54  % (5763)------------------------------
% 1.43/0.54  % (5763)------------------------------
% 1.43/0.54  % (5752)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.43/0.54  % (5769)Refutation not found, incomplete strategy% (5769)------------------------------
% 1.43/0.54  % (5769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (5769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (5769)Termination reason: Refutation not found, incomplete strategy
% 1.43/0.54  
% 1.43/0.54  % (5769)Memory used [KB]: 10490
% 1.43/0.54  % (5769)Time elapsed: 0.143 s
% 1.43/0.54  % (5769)Instructions burned: 5 (million)
% 1.43/0.54  % (5769)------------------------------
% 1.43/0.54  % (5769)------------------------------
% 1.43/0.54  % (5771)Instruction limit reached!
% 1.43/0.54  % (5771)------------------------------
% 1.43/0.54  % (5771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (5771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (5771)Termination reason: Unknown
% 1.43/0.54  % (5771)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (5771)Memory used [KB]: 1407
% 1.43/0.54  % (5771)Time elapsed: 0.118 s
% 1.43/0.54  % (5771)Instructions burned: 6 (million)
% 1.43/0.54  % (5771)------------------------------
% 1.43/0.54  % (5771)------------------------------
% 1.43/0.54  % (5752)Instruction limit reached!
% 1.43/0.54  % (5752)------------------------------
% 1.43/0.54  % (5752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (5752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (5752)Termination reason: Unknown
% 1.43/0.54  % (5752)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (5752)Memory used [KB]: 5884
% 1.43/0.54  % (5752)Time elapsed: 0.144 s
% 1.43/0.54  % (5752)Instructions burned: 4 (million)
% 1.43/0.54  % (5752)------------------------------
% 1.43/0.54  % (5752)------------------------------
% 1.43/0.54  % (5768)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.43/0.54  % (5762)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.43/0.54  % (5770)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.43/0.54  % (5777)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.43/0.54  % (5768)Instruction limit reached!
% 1.43/0.54  % (5768)------------------------------
% 1.43/0.54  % (5768)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54  % (5768)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54  % (5768)Termination reason: Unknown
% 1.43/0.54  % (5768)Termination phase: Saturation
% 1.43/0.54  
% 1.43/0.54  % (5768)Memory used [KB]: 6012
% 1.43/0.54  % (5768)Time elapsed: 0.154 s
% 1.43/0.54  % (5768)Instructions burned: 9 (million)
% 1.43/0.54  % (5768)------------------------------
% 1.43/0.54  % (5768)------------------------------
% 1.43/0.54  % (5779)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.43/0.55  % (5753)Refutation found. Thanks to Tanya!
% 1.43/0.55  % SZS status Unsatisfiable for theBenchmark
% 1.43/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.55  % (5753)------------------------------
% 1.43/0.55  % (5753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.55  % (5753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.55  % (5753)Termination reason: Refutation
% 1.43/0.55  
% 1.43/0.55  % (5753)Memory used [KB]: 6012
% 1.43/0.55  % (5753)Time elapsed: 0.132 s
% 1.43/0.55  % (5753)Instructions burned: 11 (million)
% 1.43/0.55  % (5753)------------------------------
% 1.43/0.55  % (5753)------------------------------
% 1.43/0.55  % (5748)Success in time 0.192 s
%------------------------------------------------------------------------------