%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP226-1 : 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 : n007.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 16:14:56 EDT 2022

% Result   : Unsatisfiable 0.20s 0.61s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   34
% Syntax   : Number of formulae    :  118 (   4 unt;   0 def)
%            Number of atoms       :  336 ( 137 equ)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  421 ( 203   ~; 204   |;   0   &)
%                                         (  14 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  15 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   32 (  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f253,plain,
    $false,
    inference(avatar_sat_refutation,[],[f34,f39,f44,f53,f58,f59,f61,f66,f67,f73,f74,f75,f77,f87,f89,f90,f91,f95,f143,f145,f167,f174,f186,f211,f223,f252]) ).

fof(f252,plain,
    ( ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f251]) ).

fof(f251,plain,
    ( $false
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f250]) ).

fof(f250,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f247,f187]) ).

fof(f187,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_5
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f48,f98]) ).

fof(f98,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_13
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f48,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_5
  <=> sk_c7 = multiply(sk_c4,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f247,plain,
    ( sk_c7 != multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f243]) ).

fof(f243,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c4,sk_c7)
    | ~ spl0_3
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f227,f38]) ).

fof(f38,plain,
    ( sk_c7 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f227,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c7) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f226,f98]) ).

fof(f226,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c7) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f86,f98]) ).

fof(f86,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X7) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_12
  <=> ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f223,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f222]) ).

fof(f222,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f221]) ).

fof(f221,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f219,f189]) ).

fof(f189,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_9
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f72,f98]) ).

fof(f72,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f219,plain,
    ( sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f214]) ).

fof(f214,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f212,f52]) ).

fof(f52,plain,
    ( inverse(sk_c1) = sk_c7
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_6
  <=> inverse(sk_c1) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f212,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c7) )
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f80,f98]) ).

fof(f80,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c6) )
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_10
  <=> ! [X6] :
        ( sk_c7 != multiply(X6,sk_c6)
        | sk_c7 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f211,plain,
    ( ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f210]) ).

fof(f210,plain,
    ( $false
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f209]) ).

fof(f209,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_6
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f206,f189]) ).

fof(f206,plain,
    ( sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f202]) ).

fof(f202,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != multiply(sk_c1,sk_c7)
    | ~ spl0_6
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f201,f52]) ).

fof(f201,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c7) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f200,f98]) ).

fof(f200,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c7) )
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f86,f98]) ).

fof(f186,plain,
    ( spl0_13
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f184,f63,f41,f27,f97]) ).

fof(f27,plain,
    ( spl0_1
  <=> sk_c3 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f41,plain,
    ( spl0_4
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f63,plain,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c7,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f184,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f65,f181]) ).

fof(f181,plain,
    ( sk_c7 = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_4 ),
    inference(superposition,[],[f178,f29]) ).

fof(f29,plain,
    ( sk_c3 = multiply(sk_c2,sk_c7)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f27]) ).

fof(f178,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f177,f1]) ).

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

fof(f177,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f168]) ).

fof(f168,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f41]) ).

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

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

fof(f65,plain,
    ( sk_c6 = multiply(sk_c7,sk_c3)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f174,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f173,f82,f41,f27,f63]) ).

fof(f82,plain,
    ( spl0_11
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c6 != multiply(sk_c7,multiply(X5,sk_c7)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f173,plain,
    ( sk_c6 != multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f172]) ).

fof(f172,plain,
    ( sk_c6 != multiply(sk_c7,sk_c3)
    | sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f170,f43]) ).

fof(f170,plain,
    ( sk_c7 != inverse(sk_c2)
    | sk_c6 != multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f83,f29]) ).

fof(f83,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
        | sk_c7 != inverse(X5) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f82]) ).

fof(f167,plain,
    ( spl0_13
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f166,f103,f55,f31,f97]) ).

fof(f31,plain,
    ( spl0_2
  <=> sk_c7 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f55,plain,
    ( spl0_7
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f103,plain,
    ( spl0_14
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f166,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f165,f33]) ).

fof(f33,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f165,plain,
    ( sk_c6 = multiply(sk_c5,sk_c6)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f163,f104]) ).

fof(f104,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f163,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f127,f158]) ).

fof(f158,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f135,f33]) ).

fof(f135,plain,
    ( ! [X11] : multiply(sk_c6,multiply(sk_c5,X11)) = X11
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f129,f1]) ).

fof(f129,plain,
    ( ! [X11] : multiply(identity,X11) = multiply(sk_c6,multiply(sk_c5,X11))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f112]) ).

fof(f112,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f57]) ).

fof(f57,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f127,plain,
    ( ! [X9] : multiply(sk_c7,X9) = multiply(sk_c5,multiply(sk_c6,X9))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f33]) ).

fof(f145,plain,
    ( spl0_14
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f140,f46,f36,f103]) ).

fof(f140,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_5 ),
    inference(superposition,[],[f132,f48]) ).

fof(f132,plain,
    ( ! [X8] : multiply(sk_c7,multiply(sk_c4,X8)) = X8
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f126,plain,
    ( ! [X8] : multiply(sk_c7,multiply(sk_c4,X8)) = multiply(identity,X8)
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f111]) ).

fof(f111,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f38]) ).

fof(f143,plain,
    ( ~ spl0_3
    | ~ spl0_13
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f141,f82,f36,f97,f36]) ).

fof(f141,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_3
    | ~ spl0_11 ),
    inference(superposition,[],[f83,f132]) ).

fof(f95,plain,
    ( ~ spl0_5
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f94,f79,f36,f46]) ).

fof(f94,plain,
    ( sk_c7 != multiply(sk_c4,sk_c6)
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f92]) ).

fof(f92,plain,
    ( sk_c7 != multiply(sk_c4,sk_c6)
    | sk_c7 != sk_c7
    | ~ spl0_3
    | ~ spl0_10 ),
    inference(superposition,[],[f80,f38]) ).

fof(f91,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f15,f63,f55]) ).

fof(f15,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c3)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f90,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f14,f63,f31]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f89,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f12,f36,f63]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f87,plain,
    ( spl0_10
    | spl0_10
    | spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f25,f85,f82,f79,f79]) ).

fof(f25,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != multiply(X6,sk_c6)
      | sk_c6 != inverse(X7)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(sk_c7,multiply(X5,sk_c7))
      | sk_c7 != inverse(X6) ),
    inference(equality_resolution,[],[f24]) ).

fof(f24,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != inverse(X7)
      | multiply(X5,sk_c7) != X4
      | sk_c7 != inverse(X5)
      | sk_c6 != multiply(sk_c7,X4)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X6)
      | sk_c7 != multiply(X6,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f77,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f41,f46]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f75,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f9,f46,f70]) ).

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

fof(f74,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f46,f27]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f73,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f8,f36,f70]) ).

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

fof(f67,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f4,f50,f36]) ).

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

fof(f66,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f13,f63,f46]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f61,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f31,f41]) ).

fof(f22,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f59,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f23,f41,f55]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f58,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f19,f55,f27]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f53,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f5,f50,f46]) ).

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

fof(f44,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f20,f41,f36]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f39,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f16,f27,f36]) ).

fof(f16,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c7)
    | sk_c7 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f34,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f31,f27]) ).

fof(f18,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP226-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:06:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.53  % (24939)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)
% 0.20/0.54  % (24938)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.56  % (24930)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)
% 0.20/0.56  % (24931)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)
% 0.20/0.56  % (24941)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)
% 0.20/0.56  % (24938)Instruction limit reached!
% 0.20/0.56  % (24938)------------------------------
% 0.20/0.56  % (24938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (24938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (24938)Termination reason: Unknown
% 0.20/0.56  % (24938)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (24938)Memory used [KB]: 6012
% 0.20/0.56  % (24938)Time elapsed: 0.140 s
% 0.20/0.56  % (24938)Instructions burned: 6 (million)
% 0.20/0.56  % (24938)------------------------------
% 0.20/0.56  % (24938)------------------------------
% 0.20/0.56  % (24941)Instruction limit reached!
% 0.20/0.56  % (24941)------------------------------
% 0.20/0.56  % (24941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (24941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (24941)Termination reason: Unknown
% 0.20/0.56  % (24941)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (24941)Memory used [KB]: 5884
% 0.20/0.56  % (24941)Time elapsed: 0.003 s
% 0.20/0.56  % (24941)Instructions burned: 3 (million)
% 0.20/0.56  % (24941)------------------------------
% 0.20/0.56  % (24941)------------------------------
% 0.20/0.57  % (24930)Instruction limit reached!
% 0.20/0.57  % (24930)------------------------------
% 0.20/0.57  % (24930)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (24930)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (24930)Termination reason: Unknown
% 0.20/0.57  % (24930)Termination phase: Saturation
% 0.20/0.57  
% 0.20/0.57  % (24930)Memory used [KB]: 5884
% 0.20/0.57  % (24930)Time elapsed: 0.144 s
% 0.20/0.57  % (24930)Instructions burned: 4 (million)
% 0.20/0.57  % (24930)------------------------------
% 0.20/0.57  % (24930)------------------------------
% 0.20/0.57  % (24957)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)
% 0.20/0.57  % (24933)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.58  % (24934)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)
% 0.20/0.58  % (24948)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)
% 0.20/0.59  % (24940)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)
% 0.20/0.59  % (24928)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.59  % (24940)Instruction limit reached!
% 0.20/0.59  % (24940)------------------------------
% 0.20/0.59  % (24940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (24940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (24940)Termination reason: Unknown
% 0.20/0.59  % (24940)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (24940)Memory used [KB]: 6012
% 0.20/0.59  % (24940)Time elapsed: 0.172 s
% 0.20/0.59  % (24940)Instructions burned: 5 (million)
% 0.20/0.59  % (24940)------------------------------
% 0.20/0.59  % (24940)------------------------------
% 0.20/0.59  % (24951)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.59  % (24939)Instruction limit reached!
% 0.20/0.59  % (24939)------------------------------
% 0.20/0.59  % (24939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (24939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (24939)Termination reason: Unknown
% 0.20/0.59  % (24939)Termination phase: Saturation
% 0.20/0.59  
% 0.20/0.59  % (24939)Memory used [KB]: 6140
% 0.20/0.59  % (24939)Time elapsed: 0.179 s
% 0.20/0.59  % (24939)Instructions burned: 23 (million)
% 0.20/0.59  % (24939)------------------------------
% 0.20/0.59  % (24939)------------------------------
% 0.20/0.59  % (24929)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)
% 0.20/0.60  % (24948)Instruction limit reached!
% 0.20/0.60  % (24948)------------------------------
% 0.20/0.60  % (24948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (24952)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.60  % (24948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (24948)Termination reason: Unknown
% 0.20/0.60  % (24948)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (24948)Memory used [KB]: 1407
% 0.20/0.60  % (24948)Time elapsed: 0.180 s
% 0.20/0.60  % (24948)Instructions burned: 6 (million)
% 0.20/0.60  % (24948)------------------------------
% 0.20/0.60  % (24948)------------------------------
% 0.20/0.60  % (24933)First to succeed.
% 0.20/0.60  % (24943)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.61  % (24933)Refutation found. Thanks to Tanya!
% 0.20/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.61  % (24933)------------------------------
% 0.20/0.61  % (24933)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61  % (24933)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61  % (24933)Termination reason: Refutation
% 0.20/0.61  
% 0.20/0.61  % (24933)Memory used [KB]: 6012
% 0.20/0.61  % (24933)Time elapsed: 0.164 s
% 0.20/0.61  % (24933)Instructions burned: 8 (million)
% 0.20/0.61  % (24933)------------------------------
% 0.20/0.61  % (24933)------------------------------
% 0.20/0.61  % (24927)Success in time 0.243 s
%------------------------------------------------------------------------------