TSTP Solution File: GRP367-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP367-1 : 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 : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   49
% Syntax   : Number of formulae    :  223 (   4 unt;   0 def)
%            Number of atoms       : 1018 ( 256 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 1575 ( 780   ~; 780   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   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   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f478,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f53,f62,f67,f68,f73,f74,f75,f80,f81,f82,f87,f88,f89,f90,f91,f92,f93,f94,f95,f100,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f210,f229,f237,f249,f256,f434,f442,f450,f458,f477]) ).

fof(f477,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f476]) ).

fof(f476,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f475]) ).

fof(f475,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f461,f1]) ).

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

fof(f461,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f460,f399]) ).

fof(f399,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f386,f326]) ).

fof(f326,plain,
    ( identity = multiply(sk_c6,sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f258,f321]) ).

fof(f321,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f288,f318]) ).

fof(f318,plain,
    ( sk_c6 = multiply(sk_c6,sk_c8)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f273,f61]) ).

fof(f61,plain,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f59]) ).

fof(f59,plain,
    ( spl0_6
  <=> sk_c8 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f272,f1]) ).

fof(f272,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c3,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f260]) ).

fof(f260,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f99]) ).

fof(f99,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f97]) ).

fof(f97,plain,
    ( spl0_11
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

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(f288,plain,
    ( sk_c8 = multiply(sk_c6,sk_c8)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f48,f286]) ).

fof(f286,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(backward_demodulation,[],[f79,f283]) ).

fof(f283,plain,
    ( sk_c8 = multiply(sk_c8,sk_c2)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f271,f72]) ).

fof(f72,plain,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f70,plain,
    ( spl0_8
  <=> sk_c2 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f271,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f270,f1]) ).

fof(f270,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f258]) ).

fof(f79,plain,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f77]) ).

fof(f77,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c8,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f48,plain,
    ( multiply(sk_c6,sk_c8) = sk_c7
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_3
  <=> multiply(sk_c6,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f258,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f39]) ).

fof(f39,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f37]) ).

fof(f37,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f386,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f273,f376]) ).

fof(f376,plain,
    ( ! [X1] : multiply(sk_c3,X1) = X1
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f327,f329]) ).

fof(f329,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f271,f321]) ).

fof(f327,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f264,f321]) ).

fof(f264,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f61]) ).

fof(f460,plain,
    ( sk_c6 != multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f364]) ).

fof(f364,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c1,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(superposition,[],[f344,f322]) ).

fof(f322,plain,
    ( sk_c6 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f39,f321]) ).

fof(f344,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f342,f321]) ).

fof(f342,plain,
    ( ! [X7] :
        ( sk_c6 != multiply(X7,sk_c6)
        | sk_c8 != inverse(X7) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_15 ),
    inference(backward_demodulation,[],[f302,f321]) ).

fof(f302,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(X7,sk_c6) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f292,f286]) ).

fof(f292,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15 ),
    inference(backward_demodulation,[],[f112,f286]) ).

fof(f112,plain,
    ( ! [X7] :
        ( sk_c7 != inverse(X7)
        | sk_c7 != multiply(X7,sk_c6) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f111]) ).

fof(f111,plain,
    ( spl0_15
  <=> ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c7 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f458,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f457]) ).

fof(f457,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f453]) ).

fof(f453,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(superposition,[],[f452,f343]) ).

fof(f343,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f318,f321]) ).

fof(f452,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f451,f331]) ).

fof(f331,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f286,f321]) ).

fof(f451,plain,
    ( sk_c6 != multiply(sk_c7,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f56,f321]) ).

fof(f56,plain,
    ( sk_c6 != multiply(sk_c7,sk_c8)
    | spl0_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f55,plain,
    ( spl0_5
  <=> sk_c6 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f450,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f449]) ).

fof(f449,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f448]) ).

fof(f448,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f447,f1]) ).

fof(f447,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f446]) ).

fof(f446,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f443,f415]) ).

fof(f415,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f322,f399]) ).

fof(f443,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f103,f321]) ).

fof(f103,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c6) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_12
  <=> ! [X5] :
        ( sk_c8 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f442,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f441]) ).

fof(f441,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f440]) ).

fof(f440,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f439,f1]) ).

fof(f439,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f438]) ).

fof(f438,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(superposition,[],[f437,f415]) ).

fof(f437,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f436,f321]) ).

fof(f436,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f435,f321]) ).

fof(f435,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c6)
        | sk_c8 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f106,f331]) ).

fof(f106,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f105,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c8 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f434,plain,
    ( ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f433]) ).

fof(f433,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f430]) ).

fof(f430,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f428,f386]) ).

fof(f428,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f427,f1]) ).

fof(f427,plain,
    ( sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f426]) ).

fof(f426,plain,
    ( sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
    | sk_c6 != sk_c6
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f374,f415]) ).

fof(f374,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f373,f331]) ).

fof(f373,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(sk_c6,multiply(X4,sk_c6))
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f372,f321]) ).

fof(f372,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c6 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f109,f321]) ).

fof(f109,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl0_14
  <=> ! [X4] :
        ( sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
        | sk_c8 != inverse(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f256,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f255]) ).

fof(f255,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f254]) ).

fof(f254,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f253,f1]) ).

fof(f253,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f252]) ).

fof(f252,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f251,f215]) ).

fof(f215,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f176,f203]) ).

fof(f203,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f186,f177]) ).

fof(f177,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f124,f175]) ).

fof(f175,plain,
    ( sk_c6 = sk_c8
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f155,f167]) ).

fof(f167,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f148,f152]) ).

fof(f152,plain,
    ( sk_c6 = sk_c7
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f149,f150]) ).

fof(f150,plain,
    ( sk_c6 = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f131,f148]) ).

fof(f131,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f130,f1]) ).

fof(f130,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f124]) ).

fof(f149,plain,
    ( sk_c7 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f142,f148]) ).

fof(f142,plain,
    ( multiply(sk_c4,sk_c6) = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_10 ),
    inference(superposition,[],[f125,f132]) ).

fof(f132,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_2
    | ~ spl0_10 ),
    inference(superposition,[],[f129,f86]) ).

fof(f86,plain,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f84,plain,
    ( spl0_10
  <=> sk_c7 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f129,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c5,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f123]) ).

fof(f123,plain,
    ( identity = multiply(sk_c7,sk_c5)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f125,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f52]) ).

fof(f52,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f50,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f148,plain,
    ( sk_c7 = multiply(sk_c4,sk_c6)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f141,f136]) ).

fof(f136,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_4
    | ~ spl0_7 ),
    inference(superposition,[],[f131,f52]) ).

fof(f141,plain,
    ( multiply(sk_c8,sk_c8) = multiply(sk_c4,sk_c6)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f125,f57]) ).

fof(f57,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f155,plain,
    ( sk_c8 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f52,f152]) ).

fof(f124,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f66]) ).

fof(f66,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f64]) ).

fof(f64,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f186,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f178,f185]) ).

fof(f185,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f179,f162]) ).

fof(f162,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f129,f152]) ).

fof(f179,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sk_c4,X0)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f140,f175]) ).

fof(f140,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c4,X0)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f125,f129]) ).

fof(f178,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f131,f175]) ).

fof(f176,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f66,f175]) ).

fof(f251,plain,
    ( ! [X7] :
        ( sk_c6 != inverse(X7)
        | sk_c6 != multiply(X7,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f250,f152]) ).

fof(f250,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(X7,sk_c6)
        | sk_c6 != inverse(X7) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f112,f152]) ).

fof(f249,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f248]) ).

fof(f248,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f244]) ).

fof(f244,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f243,f163]) ).

fof(f163,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f132,f152]) ).

fof(f243,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f242,f1]) ).

fof(f242,plain,
    ( sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f241]) ).

fof(f241,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c6,multiply(identity,sk_c6))
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f240,f215]) ).

fof(f240,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c6 != multiply(sk_c6,multiply(X4,sk_c6)) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f239,f152]) ).

fof(f239,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(sk_c6,multiply(X4,sk_c6)) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f238,f175]) ).

fof(f238,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f109,f175]) ).

fof(f237,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f236]) ).

fof(f236,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f235]) ).

fof(f235,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f234,f1]) ).

fof(f234,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f233]) ).

fof(f233,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f232,f215]) ).

fof(f232,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f231,f175]) ).

fof(f231,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f230,f152]) ).

fof(f230,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c8 != multiply(X6,sk_c7) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f106,f175]) ).

fof(f229,plain,
    ( ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f228]) ).

fof(f228,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f227]) ).

fof(f227,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f226,f1]) ).

fof(f226,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f225]) ).

fof(f225,plain,
    ( sk_c6 != multiply(identity,sk_c6)
    | sk_c6 != sk_c6
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f218,f215]) ).

fof(f218,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c6) )
    | ~ spl0_2
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f103,f175]) ).

fof(f210,plain,
    ( ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f209]) ).

fof(f209,plain,
    ( $false
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f206]) ).

fof(f206,plain,
    ( sk_c6 != sk_c6
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(superposition,[],[f180,f186]) ).

fof(f180,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f154,f175]) ).

fof(f154,plain,
    ( sk_c6 != multiply(sk_c6,sk_c8)
    | ~ spl0_2
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f47,f152]) ).

fof(f47,plain,
    ( multiply(sk_c6,sk_c8) != sk_c7
    | spl0_3 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f122,plain,
    ( spl0_4
    | spl0_8 ),
    inference(avatar_split_clause,[],[f16,f70,f50]) ).

fof(f16,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f121,plain,
    ( spl0_4
    | spl0_9 ),
    inference(avatar_split_clause,[],[f11,f77,f50]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f120,plain,
    ( spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f31,f97,f50]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c4,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).

fof(f119,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f20,f64,f37]) ).

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

fof(f118,plain,
    ( spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f32,f41,f97]) ).

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

fof(f117,plain,
    ( spl0_5
    | spl0_11 ),
    inference(avatar_split_clause,[],[f29,f97,f55]) ).

fof(f29,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f116,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f50,f37]) ).

fof(f21,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f115,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f33,f97,f84]) ).

fof(f33,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).

fof(f114,plain,
    ( spl0_2
    | spl0_9 ),
    inference(avatar_split_clause,[],[f12,f77,f41]) ).

fof(f12,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f113,plain,
    ( ~ spl0_3
    | spl0_12
    | spl0_13
    | spl0_14
    | spl0_15
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f35,f55,f111,f108,f105,f102,f46]) ).

fof(f35,plain,
    ! [X6,X7,X4,X5] :
      ( sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c7 != multiply(sk_c8,multiply(X4,sk_c8))
      | sk_c8 != inverse(X6)
      | sk_c7 != inverse(X7)
      | sk_c8 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c8) != sk_c7
      | sk_c8 != inverse(X4)
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c6 != inverse(X5) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(sk_c8,X3)
      | sk_c7 != multiply(X7,sk_c6)
      | sk_c6 != inverse(X5)
      | sk_c8 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c8) != sk_c7
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c8 != inverse(X6)
      | multiply(X4,sk_c8) != X3
      | sk_c7 != inverse(X7)
      | sk_c8 != multiply(X6,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f100,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f30,f64,f97]) ).

fof(f30,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).

fof(f95,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f59,f84]) ).

fof(f28,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f94,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f4,f55,f46]) ).

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

fof(f93,plain,
    ( spl0_10
    | spl0_8 ),
    inference(avatar_split_clause,[],[f18,f70,f84]) ).

fof(f18,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f92,plain,
    ( spl0_3
    | spl0_10 ),
    inference(avatar_split_clause,[],[f8,f84,f46]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c5,sk_c6)
    | multiply(sk_c6,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).

fof(f91,plain,
    ( spl0_6
    | spl0_7 ),
    inference(avatar_split_clause,[],[f25,f64,f59]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f90,plain,
    ( spl0_10
    | spl0_1 ),
    inference(avatar_split_clause,[],[f23,f37,f84]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f89,plain,
    ( spl0_6
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f50,f59]) ).

fof(f26,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f88,plain,
    ( spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f19,f37,f55]) ).

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

fof(f87,plain,
    ( spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f13,f77,f84]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f82,plain,
    ( spl0_7
    | spl0_9 ),
    inference(avatar_split_clause,[],[f10,f77,f64]) ).

fof(f10,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f81,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f15,f70,f64]) ).

fof(f15,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f80,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f9,f55,f77]) ).

fof(f9,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f75,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f27,f41,f59]) ).

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

fof(f74,plain,
    ( spl0_2
    | spl0_8 ),
    inference(avatar_split_clause,[],[f17,f70,f41]) ).

fof(f17,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c7 = inverse(sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f73,plain,
    ( spl0_5
    | spl0_8 ),
    inference(avatar_split_clause,[],[f14,f70,f55]) ).

fof(f14,axiom,
    ( sk_c2 = multiply(sk_c1,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f68,plain,
    ( spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f7,f46,f41]) ).

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

fof(f67,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f46,f64]) ).

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

fof(f62,plain,
    ( spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f24,f59,f55]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f53,plain,
    ( spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f50,f46]) ).

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

fof(f44,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f41,f37]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP367-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:28:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (1735)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (1743)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)
% 0.20/0.51  % (1750)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.51  % (1734)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.51  % (1753)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (1759)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51  % (1737)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)
% 0.20/0.51  % (1750)Instruction limit reached!
% 0.20/0.51  % (1750)------------------------------
% 0.20/0.51  % (1750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1753)Refutation not found, incomplete strategy% (1753)------------------------------
% 0.20/0.51  % (1753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (1753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (1753)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.51  
% 0.20/0.51  % (1753)Memory used [KB]: 5884
% 0.20/0.51  % (1753)Time elapsed: 0.063 s
% 0.20/0.51  % (1753)Instructions burned: 2 (million)
% 0.20/0.51  % (1753)------------------------------
% 0.20/0.51  % (1753)------------------------------
% 0.20/0.52  % (1736)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)
% 0.20/0.52  % (1733)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)
% 0.20/0.52  % (1729)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.20/0.52  % (1754)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.20/0.52  % (1757)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)
% 0.20/0.52  % (1732)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.53  % (1744)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.53  % (1732)Refutation not found, incomplete strategy% (1732)------------------------------
% 0.20/0.53  % (1732)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (1732)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (1732)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53  
% 0.20/0.53  % (1732)Memory used [KB]: 5884
% 0.20/0.53  % (1732)Time elapsed: 0.115 s
% 0.20/0.53  % (1732)Instructions burned: 4 (million)
% 0.20/0.53  % (1732)------------------------------
% 0.20/0.53  % (1732)------------------------------
% 0.20/0.53  % (1735)Instruction limit reached!
% 0.20/0.53  % (1735)------------------------------
% 0.20/0.53  % (1735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (1750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (1750)Termination reason: Unknown
% 0.20/0.53  % (1750)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (1750)Memory used [KB]: 1407
% 0.20/0.53  % (1750)Time elapsed: 0.113 s
% 0.20/0.53  % (1750)Instructions burned: 8 (million)
% 0.20/0.53  % (1750)------------------------------
% 0.20/0.53  % (1750)------------------------------
% 0.20/0.53  % (1735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (1735)Termination reason: Unknown
% 0.20/0.53  % (1735)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (1735)Memory used [KB]: 1535
% 0.20/0.53  % (1735)Time elapsed: 0.129 s
% 0.20/0.53  % (1735)Instructions burned: 50 (million)
% 0.20/0.53  % (1735)------------------------------
% 0.20/0.53  % (1735)------------------------------
% 0.20/0.53  % (1728)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.20/0.53  % (1737)Instruction limit reached!
% 0.20/0.53  % (1737)------------------------------
% 0.20/0.53  % (1737)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (1731)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.53  % (1755)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)
% 0.20/0.53  % (1737)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (1737)Termination reason: Unknown
% 0.20/0.53  % (1737)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (1737)Memory used [KB]: 5884
% 0.20/0.53  % (1737)Time elapsed: 0.125 s
% 0.20/0.53  % (1737)Instructions burned: 5 (million)
% 0.20/0.53  % (1737)------------------------------
% 0.20/0.53  % (1737)------------------------------
% 0.20/0.53  % (1748)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)
% 0.20/0.54  % (1747)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)
% 0.20/0.54  % (1743)Instruction limit reached!
% 0.20/0.54  % (1743)------------------------------
% 0.20/0.54  % (1743)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1743)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1743)Termination reason: Unknown
% 0.20/0.54  % (1743)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1743)Memory used [KB]: 1663
% 0.20/0.54  % (1743)Time elapsed: 0.118 s
% 0.20/0.54  % (1743)Instructions burned: 30 (million)
% 0.20/0.54  % (1743)------------------------------
% 0.20/0.54  % (1743)------------------------------
% 0.20/0.54  % (1741)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.20/0.54  % (1745)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)
% 0.20/0.54  % (1746)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.54  % (1758)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)
% 0.20/0.54  % (1740)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.20/0.54  % (1758)Refutation not found, incomplete strategy% (1758)------------------------------
% 0.20/0.54  % (1758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1758)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.54  
% 0.20/0.54  % (1758)Memory used [KB]: 5884
% 0.20/0.54  % (1758)Time elapsed: 0.139 s
% 0.20/0.54  % (1758)Instructions burned: 4 (million)
% 0.20/0.54  % (1758)------------------------------
% 0.20/0.54  % (1758)------------------------------
% 0.20/0.54  % (1731)Instruction limit reached!
% 0.20/0.54  % (1731)------------------------------
% 0.20/0.54  % (1731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1731)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1731)Termination reason: Unknown
% 0.20/0.54  % (1731)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1731)Memory used [KB]: 5884
% 0.20/0.54  % (1731)Time elapsed: 0.005 s
% 0.20/0.54  % (1731)Instructions burned: 4 (million)
% 0.20/0.54  % (1731)------------------------------
% 0.20/0.54  % (1731)------------------------------
% 0.20/0.54  % (1742)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54  % (1742)Instruction limit reached!
% 0.20/0.54  % (1742)------------------------------
% 0.20/0.54  % (1742)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1742)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1742)Termination reason: Unknown
% 0.20/0.54  % (1742)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1742)Memory used [KB]: 5884
% 0.20/0.54  % (1742)Time elapsed: 0.004 s
% 0.20/0.54  % (1742)Instructions burned: 5 (million)
% 0.20/0.54  % (1742)------------------------------
% 0.20/0.54  % (1742)------------------------------
% 0.20/0.54  % (1739)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.54  % (1748)Instruction limit reached!
% 0.20/0.54  % (1748)------------------------------
% 0.20/0.54  % (1748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (1748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (1748)Termination reason: Unknown
% 0.20/0.54  % (1748)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (1748)Memory used [KB]: 6012
% 0.20/0.54  % (1748)Time elapsed: 0.134 s
% 0.20/0.54  % (1748)Instructions burned: 7 (million)
% 0.20/0.54  % (1748)------------------------------
% 0.20/0.54  % (1748)------------------------------
% 0.20/0.54  % (1739)Instruction limit reached!
% 0.20/0.54  % (1739)------------------------------
% 0.20/0.54  % (1739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1756)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)
% 0.20/0.55  % (1756)Refutation not found, incomplete strategy% (1756)------------------------------
% 0.20/0.55  % (1756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1744)Instruction limit reached!
% 0.20/0.55  % (1744)------------------------------
% 0.20/0.55  % (1744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (1744)Termination reason: Unknown
% 0.20/0.55  % (1744)Termination phase: Finite model building preprocessing
% 0.20/0.55  
% 0.20/0.55  % (1744)Memory used [KB]: 6012
% 0.20/0.55  % (1744)Time elapsed: 0.005 s
% 0.20/0.55  % (1744)Instructions burned: 7 (million)
% 0.20/0.55  % (1744)------------------------------
% 0.20/0.55  % (1744)------------------------------
% 0.20/0.55  % (1752)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)
% 0.20/0.55  % (1738)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)
% 0.20/0.55  % (1745)Instruction limit reached!
% 0.20/0.55  % (1745)------------------------------
% 0.20/0.55  % (1745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (1745)Termination reason: Unknown
% 0.20/0.55  % (1745)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (1745)Memory used [KB]: 5884
% 0.20/0.55  % (1745)Time elapsed: 0.004 s
% 0.20/0.55  % (1745)Instructions burned: 3 (million)
% 0.20/0.55  % (1745)------------------------------
% 0.20/0.55  % (1745)------------------------------
% 0.20/0.55  % (1746)Instruction limit reached!
% 0.20/0.55  % (1746)------------------------------
% 0.20/0.55  % (1746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (1746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (1746)Termination reason: Unknown
% 0.20/0.55  % (1746)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (1746)Memory used [KB]: 6012
% 0.20/0.55  % (1746)Time elapsed: 0.141 s
% 0.20/0.55  % (1746)Instructions burned: 9 (million)
% 0.20/0.55  % (1746)------------------------------
% 0.20/0.55  % (1746)------------------------------
% 0.20/0.55  % (1747)First to succeed.
% 0.20/0.55  % (1756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (1756)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.55  
% 0.20/0.55  % (1756)Memory used [KB]: 5884
% 0.20/0.55  % (1756)Time elapsed: 0.150 s
% 0.20/0.55  % (1756)Instructions burned: 5 (million)
% 0.20/0.55  % (1756)------------------------------
% 0.20/0.55  % (1756)------------------------------
% 0.20/0.56  % (1739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1739)Termination reason: Unknown
% 0.20/0.56  % (1739)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (1739)Memory used [KB]: 5884
% 0.20/0.56  % (1739)Time elapsed: 0.142 s
% 0.20/0.56  % (1739)Instructions burned: 6 (million)
% 0.20/0.56  % (1739)------------------------------
% 0.20/0.56  % (1739)------------------------------
% 0.20/0.56  % (1741)Instruction limit reached!
% 0.20/0.56  % (1741)------------------------------
% 0.20/0.56  % (1741)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (1741)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1741)Termination reason: Unknown
% 0.20/0.56  % (1741)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (1741)Memory used [KB]: 5884
% 0.20/0.56  % (1741)Time elapsed: 0.139 s
% 0.20/0.56  % (1741)Instructions burned: 6 (million)
% 0.20/0.56  % (1741)------------------------------
% 0.20/0.56  % (1741)------------------------------
% 0.20/0.56  % (1734)Instruction limit reached!
% 0.20/0.56  % (1734)------------------------------
% 0.20/0.56  % (1734)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56  % (1734)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56  % (1734)Termination reason: Unknown
% 0.20/0.56  % (1734)Termination phase: Saturation
% 0.20/0.56  
% 0.20/0.56  % (1734)Memory used [KB]: 6140
% 0.20/0.56  % (1734)Time elapsed: 0.143 s
% 0.20/0.56  % (1734)Instructions burned: 26 (million)
% 0.20/0.56  % (1734)------------------------------
% 0.20/0.56  % (1734)------------------------------
% 0.20/0.56  % (1751)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)
% 0.20/0.56  % (1736)Instruction limit reached!
% 0.20/0.56  % (1736)------------------------------
% 0.20/0.56  % (1736)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1733)Instruction limit reached!
% 0.20/0.57  % (1733)------------------------------
% 0.20/0.57  % (1733)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1740)Instruction limit reached!
% 0.20/0.57  % (1740)------------------------------
% 0.20/0.57  % (1740)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1747)Refutation found. Thanks to Tanya!
% 0.20/0.57  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.57  % (1747)------------------------------
% 0.20/0.57  % (1747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (1747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (1747)Termination reason: Refutation
% 0.20/0.57  
% 0.20/0.57  % (1747)Memory used [KB]: 10618
% 0.20/0.57  % (1747)Time elapsed: 0.148 s
% 0.20/0.57  % (1747)Instructions burned: 15 (million)
% 0.20/0.57  % (1747)------------------------------
% 0.20/0.57  % (1747)------------------------------
% 0.20/0.57  % (1724)Success in time 0.21 s
%------------------------------------------------------------------------------