TSTP Solution File: GRP324-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : GRP324-1 : 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_sat --cores 0 -t %d %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:21:18 EDT 2022

% Result   : Unsatisfiable 1.57s 0.58s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  283 (   9 unt;   0 def)
%            Number of atoms       : 1315 ( 315 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 2029 ( 997   ~;1016   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   69 (  69   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f677,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f59,f68,f77,f82,f87,f92,f93,f94,f99,f100,f101,f102,f103,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f130,f131,f132,f133,f134,f135,f136,f137,f138,f253,f290,f297,f305,f311,f347,f534,f578,f590,f650,f662,f670,f676]) ).

fof(f676,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f675]) ).

fof(f675,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f674]) ).

fof(f674,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f673]) ).

fof(f673,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f672,f594]) ).

fof(f594,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f593,f585]) ).

fof(f585,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f435,f473]) ).

fof(f473,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f471,f63]) ).

fof(f63,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f471,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(superposition,[],[f159,f432]) ).

fof(f432,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f72,f427]) ).

fof(f427,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f426,f58]) ).

fof(f58,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c8,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f426,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f424,f81]) ).

fof(f81,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl0_9
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f424,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f159,f45]) ).

fof(f45,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> sk_c3 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f72,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_7
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f159,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f157,f1]) ).

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

fof(f157,plain,
    ! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
    inference(superposition,[],[f3,f2]) ).

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(f435,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f86,f427]) ).

fof(f86,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_10
  <=> multiply(sk_c7,sk_c8) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f593,plain,
    ( sk_c6 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f54,f427]) ).

fof(f54,plain,
    ( sk_c6 = inverse(sk_c8)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_3
  <=> sk_c6 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f672,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != X7 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f671,f585]) ).

fof(f671,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c6 != X7 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f129,f618]) ).

fof(f618,plain,
    ( ! [X4] : multiply(X4,sk_c7) = X4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f464,f612]) ).

fof(f612,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f606,f473]) ).

fof(f606,plain,
    ( sk_c3 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f462,f594]) ).

fof(f462,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f2,f459]) ).

fof(f459,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f457,f2]) ).

fof(f457,plain,
    ( sk_c3 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(superposition,[],[f159,f430]) ).

fof(f430,plain,
    ( sk_c7 = multiply(sk_c7,sk_c3)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f58,f427]) ).

fof(f464,plain,
    ( ! [X4] : multiply(X4,sk_c3) = X4
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f263,f459]) ).

fof(f263,plain,
    ! [X4] : multiply(X4,identity) = X4,
    inference(forward_demodulation,[],[f176,f177]) ).

fof(f177,plain,
    ! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
    inference(superposition,[],[f159,f159]) ).

fof(f176,plain,
    ! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
    inference(superposition,[],[f159,f2]) ).

fof(f129,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X7) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl0_16
  <=> ! [X7] :
        ( sk_c6 != multiply(X7,sk_c7)
        | sk_c7 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f670,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f669]) ).

fof(f669,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f668]) ).

fof(f668,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f667]) ).

fof(f667,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f666,f594]) ).

fof(f666,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != X5 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f665,f618]) ).

fof(f665,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f664,f615]) ).

fof(f615,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f461,f612]) ).

fof(f461,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f1,f459]) ).

fof(f664,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f663,f427]) ).

fof(f663,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f126,f427]) ).

fof(f126,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8)) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_15
  <=> ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f662,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f661]) ).

fof(f661,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f660]) ).

fof(f660,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f659]) ).

fof(f659,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f652,f594]) ).

fof(f652,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != X3 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f651,f427]) ).

fof(f651,plain,
    ( ! [X3] :
        ( sk_c8 != X3
        | sk_c7 != inverse(X3) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f120,f618]) ).

fof(f120,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl0_13
  <=> ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f650,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f649]) ).

fof(f649,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f648]) ).

fof(f648,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f647]) ).

fof(f647,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f630,f594]) ).

fof(f630,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != X6 )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f450,f618]) ).

fof(f450,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f436,f427]) ).

fof(f436,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_9
    | ~ spl0_14 ),
    inference(backward_demodulation,[],[f123,f427]) ).

fof(f123,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f122]) ).

fof(f122,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != multiply(X6,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f590,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f589]) ).

fof(f589,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f588]) ).

fof(f588,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f584,f585]) ).

fof(f584,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f583,f473]) ).

fof(f583,plain,
    ( sk_c6 != multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | spl0_6
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f66,f427]) ).

fof(f66,plain,
    ( sk_c6 != multiply(sk_c8,sk_c7)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f65,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c8,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f578,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(trivial_inequality_removal,[],[f575]) ).

fof(f575,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f571,f574]) ).

fof(f574,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f573,f427]) ).

fof(f573,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f572,f529]) ).

fof(f529,plain,
    ( ! [X4] : multiply(X4,sk_c7) = X4
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f464,f524]) ).

fof(f524,plain,
    ( sk_c7 = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f520,f462]) ).

fof(f520,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f466,f474]) ).

fof(f474,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f473,f431]) ).

fof(f431,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f67,f427]) ).

fof(f67,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f65]) ).

fof(f466,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_9 ),
    inference(superposition,[],[f159,f431]) ).

fof(f572,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f179,f474]) ).

fof(f179,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f159,f67]) ).

fof(f571,plain,
    ( sk_c7 != inverse(sk_c7)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f570,f474]) ).

fof(f570,plain,
    ( sk_c6 != inverse(sk_c7)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_9 ),
    inference(forward_demodulation,[],[f53,f427]) ).

fof(f53,plain,
    ( sk_c6 != inverse(sk_c8)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f534,plain,
    ( spl0_11
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f531,f96,f79,f70,f65,f61,f56,f43,f89]) ).

fof(f89,plain,
    ( spl0_11
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f96,plain,
    ( spl0_12
  <=> sk_c6 = multiply(sk_c5,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f531,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f523,f529]) ).

fof(f523,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f185,f474]) ).

fof(f185,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c6)
    | ~ spl0_12 ),
    inference(superposition,[],[f159,f98]) ).

fof(f98,plain,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f347,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f346]) ).

fof(f346,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f345]) ).

fof(f345,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f328,f339]) ).

fof(f339,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f337,f316]) ).

fof(f316,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f315,f189]) ).

fof(f189,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f185,f91]) ).

fof(f91,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f315,plain,
    ( sk_c7 = multiply(sk_c8,multiply(sk_c7,sk_c6))
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f313,f142]) ).

fof(f142,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f67]) ).

fof(f313,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f179,f54]) ).

fof(f337,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f323,f330]) ).

fof(f330,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f329,f316]) ).

fof(f329,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f324,f263]) ).

fof(f324,plain,
    ( sk_c6 = multiply(sk_c8,multiply(sk_c7,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f319,f321]) ).

fof(f321,plain,
    ( sk_c6 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f86,f318]) ).

fof(f318,plain,
    ( multiply(sk_c7,sk_c8) = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f188,f317]) ).

fof(f317,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c8,multiply(sk_c7,identity))
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f314,f142]) ).

fof(f314,plain,
    ( multiply(sk_c7,sk_c8) = multiply(sk_c6,identity)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f180,f54]) ).

fof(f180,plain,
    ( multiply(sk_c7,sk_c8) = multiply(inverse(sk_c8),identity)
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(superposition,[],[f159,f158]) ).

fof(f158,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c8))
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f155,f142]) ).

fof(f155,plain,
    ( identity = multiply(sk_c6,sk_c8)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f54]) ).

fof(f188,plain,
    ( sk_c4 = multiply(sk_c8,multiply(sk_c7,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f187,f142]) ).

fof(f187,plain,
    ( sk_c4 = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f181,f54]) ).

fof(f181,plain,
    ( sk_c4 = multiply(inverse(sk_c8),identity)
    | ~ spl0_2 ),
    inference(superposition,[],[f159,f154]) ).

fof(f154,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f49]) ).

fof(f49,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f319,plain,
    ( sk_c4 = multiply(sk_c8,multiply(sk_c7,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f317,f318]) ).

fof(f323,plain,
    ( identity = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f320,f321]) ).

fof(f320,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6 ),
    inference(backward_demodulation,[],[f158,f318]) ).

fof(f328,plain,
    ( identity != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f327,f323]) ).

fof(f327,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f326,f86]) ).

fof(f326,plain,
    ( sk_c7 != multiply(sk_c8,multiply(sk_c7,sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f322,f142]) ).

fof(f322,plain,
    ( sk_c7 != multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f75,f321]) ).

fof(f75,plain,
    ( sk_c7 != multiply(sk_c4,sk_c8)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f74,plain,
    ( spl0_8
  <=> sk_c7 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f311,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f310]) ).

fof(f310,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f309]) ).

fof(f309,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(duplicate_literal_removal,[],[f308]) ).

fof(f308,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f307,f229]) ).

fof(f229,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f192,f227]) ).

fof(f227,plain,
    ( sk_c7 = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f226,f223]) ).

fof(f223,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f203,f221]) ).

fof(f221,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f218,f208]) ).

fof(f208,plain,
    ( ! [X7] : multiply(sk_c7,X7) = X7
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f198,f159]) ).

fof(f198,plain,
    ( ! [X7] : multiply(inverse(sk_c8),multiply(sk_c8,multiply(sk_c7,X7))) = X7
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f182,f191]) ).

fof(f191,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f190,f67]) ).

fof(f190,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f183,f49]) ).

fof(f183,plain,
    ( sk_c8 = multiply(inverse(sk_c4),sk_c7)
    | ~ spl0_8 ),
    inference(superposition,[],[f159,f76]) ).

fof(f76,plain,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f182,plain,
    ( ! [X7] : multiply(inverse(sk_c6),multiply(sk_c8,multiply(sk_c7,X7))) = X7
    | ~ spl0_6 ),
    inference(superposition,[],[f159,f142]) ).

fof(f218,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f166,f213]) ).

fof(f213,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f206,f208]) ).

fof(f206,plain,
    ( sk_c7 = multiply(sk_c7,sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f205,f204]) ).

fof(f204,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f197,f76]) ).

fof(f197,plain,
    ( multiply(sk_c4,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f150,f191]) ).

fof(f150,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c7,sk_c7)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f143,f67]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f76]) ).

fof(f205,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f167,f199]) ).

fof(f199,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f189,f191]) ).

fof(f167,plain,
    ( multiply(sk_c7,multiply(sk_c7,sk_c8)) = multiply(sk_c7,sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f164,f160]) ).

fof(f160,plain,
    ( multiply(sk_c7,multiply(sk_c7,sk_c8)) = multiply(sk_c4,identity)
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(superposition,[],[f143,f158]) ).

fof(f164,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f143,f154]) ).

fof(f166,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f165,f1]) ).

fof(f165,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f154]) ).

fof(f203,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f158,f196]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f142,f191]) ).

fof(f226,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f220,f208]) ).

fof(f220,plain,
    ( sk_c7 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f207,f213]) ).

fof(f207,plain,
    ( sk_c7 = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f168,f206]) ).

fof(f168,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c4,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f160,f167]) ).

fof(f192,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(backward_demodulation,[],[f54,f191]) ).

fof(f307,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != X7 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f306,f228]) ).

fof(f228,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f191,f227]) ).

fof(f306,plain,
    ( ! [X7] :
        ( sk_c6 != X7
        | sk_c7 != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f129,f264]) ).

fof(f264,plain,
    ( ! [X4] : multiply(X4,sk_c7) = X4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f263,f232]) ).

fof(f232,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f223,f227]) ).

fof(f305,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f304]) ).

fof(f304,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f303]) ).

fof(f303,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f301,f229]) ).

fof(f301,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != X5 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f300,f264]) ).

fof(f300,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f299,f208]) ).

fof(f299,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(sk_c7,multiply(X5,sk_c7)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f298,f227]) ).

fof(f298,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c7 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f126,f227]) ).

fof(f297,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f296]) ).

fof(f296,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f295]) ).

fof(f295,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f293,f229]) ).

fof(f293,plain,
    ( ! [X6] :
        ( sk_c7 != inverse(X6)
        | sk_c7 != X6 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f292,f227]) ).

fof(f292,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c7 != X6 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f291,f264]) ).

fof(f291,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f123,f227]) ).

fof(f290,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f289]) ).

fof(f289,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f288]) ).

fof(f288,plain,
    ( sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(duplicate_literal_removal,[],[f287]) ).

fof(f287,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f277,f229]) ).

fof(f277,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c7 != X3 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f276,f227]) ).

fof(f276,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c8 != X3 )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f120,f264]) ).

fof(f253,plain,
    ( ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(trivial_inequality_removal,[],[f251]) ).

fof(f251,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(forward_demodulation,[],[f194,f208]) ).

fof(f194,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_6
    | ~ spl0_8
    | spl0_10 ),
    inference(backward_demodulation,[],[f85,f191]) ).

fof(f85,plain,
    ( multiply(sk_c7,sk_c8) != sk_c6
    | spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f138,plain,
    ( spl0_4
    | spl0_6 ),
    inference(avatar_split_clause,[],[f22,f65,f56]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f137,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f61,f52]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f136,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f20,f61,f96]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f135,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f21,f89,f61]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f134,plain,
    ( spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f27,f89,f56]) ).

fof(f27,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f133,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f70,f65]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f132,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f61,f74]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f131,plain,
    ( spl0_2
    | spl0_7 ),
    inference(avatar_split_clause,[],[f12,f70,f47]) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f130,plain,
    ( ~ spl0_10
    | ~ spl0_3
    | spl0_13
    | spl0_14
    | spl0_15
    | ~ spl0_6
    | spl0_16 ),
    inference(avatar_split_clause,[],[f41,f128,f65,f125,f122,f119,f52,f84]) ).

fof(f41,plain,
    ! [X3,X6,X7,X5] :
      ( sk_c6 != multiply(X7,sk_c7)
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X6,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c6 != inverse(sk_c8)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c7 != inverse(X3)
      | sk_c7 != inverse(X7) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X5)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c7 != inverse(X7)
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c6 != multiply(X7,sk_c7)
      | sk_c6 != inverse(sk_c8)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c7 != multiply(X6,sk_c8)
      | multiply(X5,sk_c8) != X4
      | sk_c6 != multiply(sk_c8,sk_c7)
      | sk_c7 != inverse(X3)
      | sk_c8 != inverse(X6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).

fof(f117,plain,
    ( spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f32,f43,f96]) ).

fof(f32,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).

fof(f116,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f31,f52,f43]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f115,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f5,f74,f84]) ).

fof(f5,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f114,plain,
    ( spl0_3
    | spl0_9 ),
    inference(avatar_split_clause,[],[f37,f79,f52]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).

fof(f113,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f23,f56,f74]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f112,plain,
    ( spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f26,f96,f56]) ).

fof(f26,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f111,plain,
    ( spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f14,f96,f70]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f110,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f18,f47,f61]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f109,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f13,f52,f70]) ).

fof(f13,axiom,
    ( sk_c6 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f108,plain,
    ( spl0_2
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f56,f47]) ).

fof(f24,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f107,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f6,f47,f84]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f106,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f33,f89,f43]) ).

fof(f33,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f103,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f65,f43]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f102,plain,
    ( spl0_11
    | spl0_9 ),
    inference(avatar_split_clause,[],[f39,f79,f89]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).

fof(f101,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f4,f65,f84]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

fof(f100,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f36,f47,f79]) ).

fof(f36,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).

fof(f99,plain,
    ( spl0_12
    | spl0_9 ),
    inference(avatar_split_clause,[],[f38,f79,f96]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c5,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).

fof(f94,plain,
    ( spl0_1
    | spl0_8 ),
    inference(avatar_split_clause,[],[f29,f74,f43]) ).

fof(f29,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f93,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f35,f79,f74]) ).

fof(f35,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).

fof(f92,plain,
    ( spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f15,f89,f70]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f87,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f7,f84,f52]) ).

fof(f7,axiom,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f82,plain,
    ( spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f34,f79,f65]) ).

fof(f34,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c8,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f77,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f11,f74,f70]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f68,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f16,f65,f61]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f59,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f25,f56,f52]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c6 = inverse(sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f50,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f30,f47,f43]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GRP324-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n011.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 22:21:55 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.46  % (21869)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.46  % (21860)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.47  % (21852)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.48  % (21845)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.49  TRYING [1]
% 0.20/0.49  % (21852)Instruction limit reached!
% 0.20/0.49  % (21852)------------------------------
% 0.20/0.49  % (21852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.49  % (21852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.49  % (21852)Termination reason: Unknown
% 0.20/0.49  % (21852)Termination phase: Saturation
% 0.20/0.49  
% 0.20/0.49  % (21852)Memory used [KB]: 5500
% 0.20/0.49  % (21852)Time elapsed: 0.076 s
% 0.20/0.49  % (21852)Instructions burned: 8 (million)
% 0.20/0.49  % (21852)------------------------------
% 0.20/0.49  % (21852)------------------------------
% 0.20/0.49  TRYING [2]
% 0.20/0.49  % (21850)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.50  TRYING [3]
% 0.20/0.50  % (21846)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51  % (21871)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.51  TRYING [4]
% 0.20/0.52  % (21848)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (21861)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (21868)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (21875)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.53  % (21847)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.53  % (21858)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (21853)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (21849)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (21853)Instruction limit reached!
% 0.20/0.53  % (21853)------------------------------
% 0.20/0.53  % (21853)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (21853)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (21853)Termination reason: Unknown
% 0.20/0.53  % (21853)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (21853)Memory used [KB]: 5373
% 0.20/0.53  % (21853)Time elapsed: 0.127 s
% 0.20/0.53  % (21853)Instructions burned: 3 (million)
% 0.20/0.53  % (21853)------------------------------
% 0.20/0.53  % (21853)------------------------------
% 0.20/0.53  % (21870)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.53  % (21851)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (21864)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.53  TRYING [1]
% 1.44/0.53  % (21854)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.53  TRYING [2]
% 1.44/0.54  % (21863)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54  % (21866)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.44/0.54  % (21856)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.54  % (21867)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.54  TRYING [5]
% 1.44/0.54  % (21855)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.54  % (21862)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.44/0.54  % (21857)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.44/0.55  % (21872)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.55  % (21874)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.44/0.55  TRYING [1]
% 1.44/0.55  % (21859)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.44/0.55  TRYING [2]
% 1.44/0.55  TRYING [3]
% 1.44/0.55  % (21873)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.57/0.56  TRYING [3]
% 1.57/0.56  TRYING [4]
% 1.57/0.57  TRYING [4]
% 1.57/0.58  % (21875)First to succeed.
% 1.57/0.58  % (21875)Refutation found. Thanks to Tanya!
% 1.57/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.58  % (21875)------------------------------
% 1.57/0.58  % (21875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58  % (21875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58  % (21875)Termination reason: Refutation
% 1.57/0.58  
% 1.57/0.58  % (21875)Memory used [KB]: 5756
% 1.57/0.58  % (21875)Time elapsed: 0.180 s
% 1.57/0.58  % (21875)Instructions burned: 19 (million)
% 1.57/0.58  % (21875)------------------------------
% 1.57/0.58  % (21875)------------------------------
% 1.57/0.58  % (21844)Success in time 0.233 s
%------------------------------------------------------------------------------