TSTP Solution File: GRP241-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP241-1 : 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 : n024.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:14:59 EDT 2022

% Result   : Unsatisfiable 0.18s 0.55s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  227 (   6 unt;   0 def)
%            Number of atoms       : 1002 ( 266 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1511 ( 736   ~; 760   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f800,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f59,f64,f69,f78,f87,f88,f89,f94,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f110,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f306,f314,f326,f335,f343,f546,f597,f726,f799]) ).

fof(f799,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f798]) ).

fof(f798,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f797]) ).

fof(f797,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f796,f1]) ).

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

fof(f796,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f795,f1]) ).

fof(f795,plain,
    ( identity != multiply(identity,multiply(identity,identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f794]) ).

fof(f794,plain,
    ( identity != identity
    | identity != multiply(identity,multiply(identity,identity))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f729,f608]) ).

fof(f608,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f395,f600]) ).

fof(f600,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f599,f401]) ).

fof(f401,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f347,f391]) ).

fof(f391,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f63,f356]) ).

fof(f356,plain,
    ( sk_c8 = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f354,f86]) ).

fof(f86,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f354,plain,
    ( sk_c8 = multiply(inverse(sk_c2),sk_c3)
    | ~ spl0_1 ),
    inference(superposition,[],[f146,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(f146,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f139,f1]) ).

fof(f139,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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

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(f63,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_5
  <=> sk_c7 = multiply(sk_c8,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f347,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_4 ),
    inference(superposition,[],[f2,f58]) ).

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

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

fof(f599,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f367,f391]) ).

fof(f367,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_6
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f365,f68]) ).

fof(f68,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_6
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f365,plain,
    ( sk_c7 = multiply(inverse(sk_c1),sk_c8)
    | ~ spl0_8 ),
    inference(superposition,[],[f146,f77]) ).

fof(f77,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f75,plain,
    ( spl0_8
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f395,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f58,f391]) ).

fof(f729,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f728,f600]) ).

fof(f728,plain,
    ( ! [X5] :
        ( identity != multiply(identity,multiply(X5,identity))
        | sk_c8 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f727,f607]) ).

fof(f607,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f391,f600]) ).

fof(f727,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(identity,multiply(X5,identity))
        | sk_c8 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f113,f600]) ).

fof(f113,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | sk_c8 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f726,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f724]) ).

fof(f724,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f723,f1]) ).

fof(f723,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f722]) ).

fof(f722,plain,
    ( identity != multiply(identity,identity)
    | identity != identity
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f671,f608]) ).

fof(f671,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f670,f600]) ).

fof(f670,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f598,f600]) ).

fof(f598,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f116,f391]) ).

fof(f116,plain,
    ( ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f115,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f597,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f596]) ).

fof(f596,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f595]) ).

fof(f595,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f590,f398]) ).

fof(f398,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f77,f391]) ).

fof(f590,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f587]) ).

fof(f587,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f431,f396]) ).

fof(f396,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f68,f391]) ).

fof(f431,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f430,f391]) ).

fof(f430,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f119,f391]) ).

fof(f119,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl0_15
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f546,plain,
    ( ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f545]) ).

fof(f545,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(trivial_inequality_removal,[],[f544]) ).

fof(f544,plain,
    ( identity != identity
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(superposition,[],[f542,f451]) ).

fof(f451,plain,
    ( identity = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f395,f444]) ).

fof(f444,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f442,f401]) ).

fof(f442,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f398,f440]) ).

fof(f440,plain,
    ( sk_c8 = sk_c1
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f439,f413]) ).

fof(f413,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f397,f412]) ).

fof(f412,plain,
    ( identity = sk_c6
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f410,f2]) ).

fof(f410,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f146,f397]) ).

fof(f397,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f73,f391]) ).

fof(f73,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_7
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f439,plain,
    ( sk_c1 = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f436,f395]) ).

fof(f436,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f146,f402]) ).

fof(f402,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f349,f391]) ).

fof(f349,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f68]) ).

fof(f542,plain,
    ( identity != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(backward_demodulation,[],[f447,f532]) ).

fof(f532,plain,
    ( identity = sk_c5
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f502,f2]) ).

fof(f502,plain,
    ( ! [X0] : multiply(inverse(sk_c5),X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f146,f475]) ).

fof(f475,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f474,f1]) ).

fof(f474,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f456]) ).

fof(f456,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f414,f444]) ).

fof(f414,plain,
    ( identity = multiply(sk_c5,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f49,f412]) ).

fof(f49,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_2
  <=> sk_c6 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f447,plain,
    ( identity != inverse(sk_c5)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(backward_demodulation,[],[f97,f444]) ).

fof(f97,plain,
    ( sk_c8 != inverse(sk_c5)
    | spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl0_12
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f343,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f342]) ).

fof(f342,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f341]) ).

fof(f341,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f340,f1]) ).

fof(f340,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f339]) ).

fof(f339,plain,
    ( identity != identity
    | identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f338,f300]) ).

fof(f300,plain,
    ( identity = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f217,f292]) ).

fof(f292,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f290,f2]) ).

fof(f290,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f146,f157]) ).

fof(f157,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f147,f154]) ).

fof(f154,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f82,f152]) ).

fof(f152,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f73,f149]) ).

fof(f149,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(superposition,[],[f145,f49]) ).

fof(f145,plain,
    ( ! [X10] : multiply(sk_c8,multiply(sk_c5,X10)) = X10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f142,f1]) ).

fof(f142,plain,
    ( ! [X10] : multiply(sk_c8,multiply(sk_c5,X10)) = multiply(identity,X10)
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f136]) ).

fof(f136,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f98]) ).

fof(f98,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f82,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f80]) ).

fof(f80,plain,
    ( spl0_9
  <=> sk_c8 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f147,plain,
    ( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = X9
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f141,f1]) ).

fof(f141,plain,
    ( ! [X9] : multiply(sk_c8,multiply(sk_c4,X9)) = multiply(identity,X9)
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f135]) ).

fof(f135,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f54]) ).

fof(f54,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f217,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f54,f208]) ).

fof(f208,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f202,f135]) ).

fof(f202,plain,
    ( ! [X9] : multiply(sk_c8,X9) = X9
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f147,f189]) ).

fof(f189,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f156,f145]) ).

fof(f156,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f154]) ).

fof(f338,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | identity != multiply(X3,identity) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f337,f292]) ).

fof(f337,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f336,f296]) ).

fof(f296,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f152,f292]) ).

fof(f336,plain,
    ( ! [X3] :
        ( identity != inverse(X3)
        | sk_c8 != multiply(X3,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f119,f296]) ).

fof(f335,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f334]) ).

fof(f334,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f333]) ).

fof(f333,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f332,f1]) ).

fof(f332,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f331,f1]) ).

fof(f331,plain,
    ( identity != multiply(identity,multiply(identity,identity))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f330]) ).

fof(f330,plain,
    ( identity != multiply(identity,multiply(identity,identity))
    | identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f329,f300]) ).

fof(f329,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | identity != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f328,f296]) ).

fof(f328,plain,
    ( ! [X5] :
        ( identity != inverse(X5)
        | sk_c7 != multiply(identity,multiply(X5,identity)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f327,f292]) ).

fof(f327,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
        | identity != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f113,f292]) ).

fof(f326,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f325]) ).

fof(f325,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f324]) ).

fof(f324,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f323,f1]) ).

fof(f323,plain,
    ( identity != multiply(identity,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f322]) ).

fof(f322,plain,
    ( identity != multiply(identity,identity)
    | identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f317,f300]) ).

fof(f317,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | identity != multiply(X6,identity) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f316,f292]) ).

fof(f316,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,identity) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f315,f296]) ).

fof(f315,plain,
    ( ! [X6] :
        ( identity != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f116,f292]) ).

fof(f314,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f313]) ).

fof(f313,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f312]) ).

fof(f312,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f311,f292]) ).

fof(f311,plain,
    ( identity != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f310,f300]) ).

fof(f310,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f92,f296]) ).

fof(f92,plain,
    ( sk_c8 != inverse(sk_c7)
    | spl0_11 ),
    inference(avatar_component_clause,[],[f91]) ).

fof(f91,plain,
    ( spl0_11
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f306,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f305]) ).

fof(f305,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f302]) ).

fof(f302,plain,
    ( identity != identity
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f297,f300]) ).

fof(f297,plain,
    ( identity != inverse(identity)
    | ~ spl0_2
    | ~ spl0_3
    | spl0_4
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f155,f292]) ).

fof(f155,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | spl0_4
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f57,f152]) ).

fof(f57,plain,
    ( inverse(sk_c8) != sk_c7
    | spl0_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f134,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f31,f71,f43]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f133,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f34,f84,f52]) ).

fof(f34,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f132,plain,
    ( spl0_3
    | spl0_11 ),
    inference(avatar_split_clause,[],[f9,f91,f52]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f131,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f37,f47,f84]) ).

fof(f37,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f130,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f26,f61,f71]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f129,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f17,f75,f47]) ).

fof(f17,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f128,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f36,f71,f84]) ).

fof(f36,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f127,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f66,f80]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f126,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f5,f56,f80]) ).

fof(f5,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f125,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f52,f43]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f124,plain,
    ( spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f38,f84,f96]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f123,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f7,f47,f56]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f122,plain,
    ( spl0_5
    | spl0_12 ),
    inference(avatar_split_clause,[],[f28,f96,f61]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f121,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f56,f71]) ).

fof(f6,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f120,plain,
    ( ~ spl0_4
    | spl0_13
    | spl0_13
    | spl0_14
    | ~ spl0_11
    | spl0_15 ),
    inference(avatar_split_clause,[],[f41,f118,f91,f115,f112,f112,f56]) ).

fof(f41,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c8 != inverse(sk_c7)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != inverse(X6)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != inverse(X5)
      | sk_c8 != multiply(X3,sk_c7)
      | inverse(sk_c8) != sk_c7
      | sk_c8 != inverse(X8) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,plain,
    ! [X3,X8,X6,X7,X5] :
      ( sk_c8 != multiply(X3,sk_c7)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c7 != multiply(sk_c8,multiply(X5,sk_c8))
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X8)
      | sk_c7 != inverse(X3)
      | sk_c8 != inverse(sk_c7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X8,sk_c8) != X7 ),
    inference(equality_resolution,[],[f39]) ).

fof(f39,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != multiply(X3,sk_c7)
      | inverse(sk_c8) != sk_c7
      | sk_c7 != multiply(sk_c8,X7)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c8 != inverse(X6)
      | sk_c8 != inverse(X5)
      | sk_c8 != inverse(X8)
      | sk_c7 != inverse(X3)
      | sk_c8 != inverse(sk_c7)
      | sk_c8 != multiply(X6,sk_c7)
      | multiply(X8,sk_c8) != X7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f110,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f25,f80,f61]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f109,plain,
    ( spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f66,f96]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f108,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f19,f66,f52]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f107,plain,
    ( spl0_9
    | spl0_8 ),
    inference(avatar_split_clause,[],[f15,f75,f80]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f106,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f12,f47,f91]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f105,plain,
    ( spl0_11
    | spl0_12 ),
    inference(avatar_split_clause,[],[f13,f96,f91]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f104,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f30,f43,f80]) ).

fof(f30,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f103,plain,
    ( spl0_7
    | spl0_11 ),
    inference(avatar_split_clause,[],[f11,f91,f71]) ).

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f102,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f21,f71,f66]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f101,plain,
    ( spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f8,f96,f56]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f100,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f18,f75,f96]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f99,plain,
    ( spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f33,f43,f96]) ).

fof(f33,axiom,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f94,plain,
    ( spl0_9
    | spl0_11 ),
    inference(avatar_split_clause,[],[f10,f91,f80]) ).

fof(f10,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f89,plain,
    ( spl0_5
    | spl0_2 ),
    inference(avatar_split_clause,[],[f27,f47,f61]) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f88,plain,
    ( spl0_3
    | spl0_8 ),
    inference(avatar_split_clause,[],[f14,f75,f52]) ).

fof(f14,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f87,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f35,f84,f80]) ).

fof(f35,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f78,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f16,f75,f71]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f69,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f47,f66]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f64,plain,
    ( spl0_5
    | spl0_3 ),
    inference(avatar_split_clause,[],[f24,f52,f61]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f59,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f4,f56,f52]) ).

fof(f4,axiom,
    ( inverse(sk_c8) = sk_c7
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f50,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f32,f47,f43]) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP241-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n024.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Mon Aug 29 22:24:49 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.18/0.48  % (32218)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)
% 0.18/0.49  % (32216)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)
% 0.18/0.49  % (32210)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)
% 0.18/0.49  % (32210)Instruction limit reached!
% 0.18/0.49  % (32210)------------------------------
% 0.18/0.49  % (32210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (32210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (32210)Termination reason: Unknown
% 0.18/0.49  % (32210)Termination phase: Saturation
% 0.18/0.49  
% 0.18/0.49  % (32210)Memory used [KB]: 5884
% 0.18/0.49  % (32210)Time elapsed: 0.110 s
% 0.18/0.49  % (32210)Instructions burned: 5 (million)
% 0.18/0.49  % (32210)------------------------------
% 0.18/0.49  % (32210)------------------------------
% 0.18/0.49  % (32223)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)
% 0.18/0.49  % (32223)Instruction limit reached!
% 0.18/0.49  % (32223)------------------------------
% 0.18/0.49  % (32223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (32223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (32223)Termination reason: Unknown
% 0.18/0.49  % (32223)Termination phase: Finite model building preprocessing
% 0.18/0.49  
% 0.18/0.49  % (32223)Memory used [KB]: 1407
% 0.18/0.49  % (32223)Time elapsed: 0.003 s
% 0.18/0.49  % (32223)Instructions burned: 6 (million)
% 0.18/0.49  % (32223)------------------------------
% 0.18/0.49  % (32223)------------------------------
% 0.18/0.49  % (32208)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.18/0.49  % (32232)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)
% 0.18/0.49  % (32214)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)
% 0.18/0.50  % (32232)Refutation not found, incomplete strategy% (32232)------------------------------
% 0.18/0.50  % (32232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (32215)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50  % (32232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (32232)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.50  
% 0.18/0.50  % (32232)Memory used [KB]: 5884
% 0.18/0.50  % (32232)Time elapsed: 0.078 s
% 0.18/0.50  % (32232)Instructions burned: 3 (million)
% 0.18/0.50  % (32232)------------------------------
% 0.18/0.50  % (32232)------------------------------
% 0.18/0.50  % (32218)Instruction limit reached!
% 0.18/0.50  % (32218)------------------------------
% 0.18/0.50  % (32218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (32218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (32218)Termination reason: Unknown
% 0.18/0.50  % (32218)Termination phase: Saturation
% 0.18/0.50  
% 0.18/0.50  % (32218)Memory used [KB]: 6012
% 0.18/0.50  % (32218)Time elapsed: 0.119 s
% 0.18/0.50  % (32218)Instructions burned: 7 (million)
% 0.18/0.50  % (32218)------------------------------
% 0.18/0.50  % (32218)------------------------------
% 0.18/0.50  % (32231)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)
% 0.18/0.50  % (32213)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.18/0.50  % (32211)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)
% 0.18/0.50  % (32209)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)
% 0.18/0.50  % (32215)Refutation not found, incomplete strategy% (32215)------------------------------
% 0.18/0.50  % (32215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (32234)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)
% 0.18/0.50  % (32219)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)
% 0.18/0.51  % (32215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (32215)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (32215)Memory used [KB]: 5884
% 0.18/0.51  % (32215)Time elapsed: 0.091 s
% 0.18/0.51  % (32215)Instructions burned: 4 (million)
% 0.18/0.51  % (32215)------------------------------
% 0.18/0.51  % (32215)------------------------------
% 0.18/0.51  % (32217)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)
% 0.18/0.51  % (32216)Instruction limit reached!
% 0.18/0.51  % (32216)------------------------------
% 0.18/0.51  % (32216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (32216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (32216)Termination reason: Unknown
% 0.18/0.51  % (32216)Termination phase: Saturation
% 0.18/0.51  
% 0.18/0.51  % (32216)Memory used [KB]: 5884
% 0.18/0.51  % (32216)Time elapsed: 0.004 s
% 0.18/0.51  % (32216)Instructions burned: 3 (million)
% 0.18/0.51  % (32216)------------------------------
% 0.18/0.51  % (32216)------------------------------
% 0.18/0.51  % (32212)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)
% 0.18/0.51  % (32212)Refutation not found, incomplete strategy% (32212)------------------------------
% 0.18/0.51  % (32212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51  % (32229)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)
% 0.18/0.51  % (32212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51  % (32212)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.51  
% 0.18/0.51  % (32212)Memory used [KB]: 5884
% 0.18/0.51  % (32222)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)
% 0.18/0.51  % (32212)Time elapsed: 0.125 s
% 0.18/0.51  % (32212)Instructions burned: 4 (million)
% 0.18/0.51  % (32212)------------------------------
% 0.18/0.51  % (32212)------------------------------
% 0.18/0.51  % (32220)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)
% 0.18/0.52  % (32224)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)
% 0.18/0.52  % (32230)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)
% 0.18/0.52  % (32224)Instruction limit reached!
% 0.18/0.52  % (32224)------------------------------
% 0.18/0.52  % (32224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (32224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (32224)Termination reason: Unknown
% 0.18/0.52  % (32224)Termination phase: Equality proxy
% 0.18/0.52  
% 0.18/0.52  % (32224)Memory used [KB]: 1279
% 0.18/0.52  % (32224)Time elapsed: 0.002 s
% 0.18/0.52  % (32224)Instructions burned: 2 (million)
% 0.18/0.52  % (32224)------------------------------
% 0.18/0.52  % (32224)------------------------------
% 0.18/0.52  % (32229)Instruction limit reached!
% 0.18/0.52  % (32229)------------------------------
% 0.18/0.52  % (32229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (32229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (32229)Termination reason: Unknown
% 0.18/0.52  % (32229)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (32229)Memory used [KB]: 1407
% 0.18/0.52  % (32229)Time elapsed: 0.006 s
% 0.18/0.52  % (32229)Instructions burned: 6 (million)
% 0.18/0.52  % (32229)------------------------------
% 0.18/0.52  % (32229)------------------------------
% 0.18/0.52  % (32220)Instruction limit reached!
% 0.18/0.52  % (32220)------------------------------
% 0.18/0.52  % (32220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (32220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (32220)Termination reason: Unknown
% 0.18/0.52  % (32220)Termination phase: Saturation
% 0.18/0.52  
% 0.18/0.52  % (32220)Memory used [KB]: 5884
% 0.18/0.52  % (32220)Time elapsed: 0.134 s
% 0.18/0.52  % (32220)Instructions burned: 5 (million)
% 0.18/0.52  % (32220)------------------------------
% 0.18/0.52  % (32220)------------------------------
% 0.18/0.52  % (32230)Refutation not found, incomplete strategy% (32230)------------------------------
% 0.18/0.52  % (32230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52  % (32230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52  % (32230)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52  
% 0.18/0.52  % (32230)Memory used [KB]: 5884
% 0.18/0.52  % (32230)Time elapsed: 0.129 s
% 0.18/0.52  % (32230)Instructions burned: 3 (million)
% 0.18/0.52  % (32230)------------------------------
% 0.18/0.52  % (32230)------------------------------
% 0.18/0.52  % (32238)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)
% 0.18/0.52  % (32233)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)
% 0.18/0.52  % (32225)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.52  % (32235)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)
% 0.18/0.52  % (32235)Refutation not found, incomplete strategy% (32235)------------------------------
% 0.18/0.52  % (32235)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (32225)Instruction limit reached!
% 0.18/0.53  % (32225)------------------------------
% 0.18/0.53  % (32225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53  % (32237)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)
% 0.18/0.53  % (32235)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53  % (32235)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.53  
% 0.18/0.53  % (32235)Memory used [KB]: 5884
% 0.18/0.53  % (32235)Time elapsed: 0.143 s
% 0.18/0.53  % (32235)Instructions burned: 3 (million)
% 0.18/0.53  % (32235)------------------------------
% 0.18/0.53  % (32235)------------------------------
% 0.18/0.53  % (32226)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)
% 0.18/0.53  % (32219)Instruction limit reached!
% 0.18/0.53  % (32219)------------------------------
% 0.18/0.53  % (32219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (32236)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)
% 0.18/0.54  % (32226)Refutation not found, incomplete strategy% (32226)------------------------------
% 0.18/0.54  % (32226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (32226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (32226)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54  
% 0.18/0.54  % (32226)Memory used [KB]: 10490
% 0.18/0.54  % (32226)Time elapsed: 0.152 s
% 0.18/0.54  % (32226)Instructions burned: 6 (million)
% 0.18/0.54  % (32226)------------------------------
% 0.18/0.54  % (32226)------------------------------
% 0.18/0.54  % (32225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (32225)Termination reason: Unknown
% 0.18/0.54  % (32225)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (32225)Memory used [KB]: 6012
% 0.18/0.54  % (32225)Time elapsed: 0.139 s
% 0.18/0.54  % (32225)Instructions burned: 8 (million)
% 0.18/0.54  % (32225)------------------------------
% 0.18/0.54  % (32225)------------------------------
% 0.18/0.54  % (32221)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)
% 0.18/0.54  % (32228)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)
% 0.18/0.54  % (32221)Instruction limit reached!
% 0.18/0.54  % (32221)------------------------------
% 0.18/0.54  % (32221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (32221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (32221)Termination reason: Unknown
% 0.18/0.54  % (32221)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (32221)Memory used [KB]: 5884
% 0.18/0.54  % (32221)Time elapsed: 0.003 s
% 0.18/0.54  % (32221)Instructions burned: 3 (million)
% 0.18/0.54  % (32221)------------------------------
% 0.18/0.54  % (32221)------------------------------
% 0.18/0.54  % (32219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (32219)Termination reason: Unknown
% 0.18/0.54  % (32219)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (32219)Memory used [KB]: 6268
% 0.18/0.54  % (32219)Time elapsed: 0.146 s
% 0.18/0.54  % (32219)Instructions burned: 25 (million)
% 0.18/0.54  % (32219)------------------------------
% 0.18/0.54  % (32219)------------------------------
% 0.18/0.54  % (32228)Instruction limit reached!
% 0.18/0.54  % (32228)------------------------------
% 0.18/0.54  % (32228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54  % (32228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54  % (32228)Termination reason: Unknown
% 0.18/0.54  % (32228)Termination phase: Saturation
% 0.18/0.54  
% 0.18/0.54  % (32228)Memory used [KB]: 6012
% 0.18/0.54  % (32228)Time elapsed: 0.163 s
% 0.18/0.54  % (32228)Instructions burned: 7 (million)
% 0.18/0.54  % (32228)------------------------------
% 0.18/0.54  % (32228)------------------------------
% 0.18/0.55  % (32213)First to succeed.
% 0.18/0.55  % (32213)Refutation found. Thanks to Tanya!
% 0.18/0.55  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.56  % (32213)------------------------------
% 0.18/0.56  % (32213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56  % (32213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56  % (32213)Termination reason: Refutation
% 0.18/0.56  
% 0.18/0.56  % (32213)Memory used [KB]: 6140
% 0.18/0.56  % (32213)Time elapsed: 0.160 s
% 0.18/0.56  % (32213)Instructions burned: 24 (million)
% 0.18/0.56  % (32213)------------------------------
% 0.18/0.56  % (32213)------------------------------
% 0.18/0.56  % (32205)Success in time 0.204 s
%------------------------------------------------------------------------------