TSTP Solution File: GRP293-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP293-1 : 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 : n028.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 16:15:13 EDT 2022

% Result   : Unsatisfiable 2.11s 0.66s
% Output   : Refutation 2.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   56
% Syntax   : Number of formulae    :  246 (   4 unt;   0 def)
%            Number of atoms       : 1085 ( 267 equ)
%            Maximal formula atoms :   12 (   4 avg)
%            Number of connectives : 1643 ( 804   ~; 823   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   60 (  60   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f614,plain,
    $false,
    inference(avatar_sat_refutation,[],[f50,f55,f60,f65,f70,f79,f88,f93,f94,f95,f96,f97,f98,f103,f104,f105,f106,f107,f108,f109,f110,f111,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f136,f137,f138,f177,f187,f227,f233,f240,f353,f358,f372,f385,f527,f546,f551,f613]) ).

fof(f613,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f608]) ).

fof(f608,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f607,f332]) ).

fof(f332,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f324,f316]) ).

fof(f316,plain,
    ( sk_c8 = multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f59,f314]) ).

fof(f314,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f45,f286]) ).

fof(f286,plain,
    ( sk_c8 = multiply(sk_c8,sk_c5)
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f259,f87]) ).

fof(f87,plain,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f85,plain,
    ( spl0_10
  <=> sk_c5 = multiply(sk_c4,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f259,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f258,f1]) ).

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

fof(f258,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f243]) ).

fof(f243,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f69]) ).

fof(f69,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f67,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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(f45,plain,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f43]) ).

fof(f43,plain,
    ( spl0_1
  <=> sk_c7 = multiply(sk_c8,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f59,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f57]) ).

fof(f57,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f257,f314]) ).

fof(f257,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f256,f1]) ).

fof(f256,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f242]) ).

fof(f242,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f62]) ).

fof(f62,plain,
    ( spl0_5
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f607,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f606,f1]) ).

fof(f606,plain,
    ( sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f605]) ).

fof(f605,plain,
    ( sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(superposition,[],[f554,f586]) ).

fof(f586,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f317,f580]) ).

fof(f580,plain,
    ( identity = sk_c3
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f558,f322]) ).

fof(f322,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f242,f314]) ).

fof(f558,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f319,f557]) ).

fof(f557,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f259,f556]) ).

fof(f556,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f387,f444]) ).

fof(f444,plain,
    ( ! [X2] : multiply(sk_c3,X2) = X2
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f320,f259]) ).

fof(f320,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f247,f314]) ).

fof(f247,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f59]) ).

fof(f387,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c3,X0)) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(superposition,[],[f250,f324]) ).

fof(f250,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f87]) ).

fof(f319,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(sk_c8,X0)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f245,f314]) ).

fof(f245,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f45]) ).

fof(f317,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f64,f314]) ).

fof(f554,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f129,f314]) ).

fof(f129,plain,
    ( ! [X7] :
        ( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | sk_c8 != inverse(X7) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl0_14
  <=> ! [X7] :
        ( sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
        | sk_c8 != inverse(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f551,plain,
    ( ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(avatar_contradiction_clause,[],[f550]) ).

fof(f550,plain,
    ( $false
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(trivial_inequality_removal,[],[f549]) ).

fof(f549,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f548,f314]) ).

fof(f548,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f547,f332]) ).

fof(f547,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f53,f335]) ).

fof(f335,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f323,f332]) ).

fof(f323,plain,
    ( sk_c6 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f78,f314]) ).

fof(f78,plain,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f76,plain,
    ( spl0_8
  <=> sk_c6 = multiply(sk_c7,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f53,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f52,plain,
    ( spl0_3
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f546,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f545]) ).

fof(f545,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f542]) ).

fof(f542,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f540,f463]) ).

fof(f463,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f319,f461]) ).

fof(f461,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f259,f456]) ).

fof(f456,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c4,X0)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f387,f446]) ).

fof(f446,plain,
    ( ! [X4] : multiply(sk_c3,X4) = X4
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f320,f148]) ).

fof(f148,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f147,f1]) ).

fof(f147,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f92]) ).

fof(f92,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl0_11
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f540,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f539,f1]) ).

fof(f539,plain,
    ( sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f538]) ).

fof(f538,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_14 ),
    inference(superposition,[],[f386,f486]) ).

fof(f486,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f69,f482]) ).

fof(f482,plain,
    ( identity = sk_c4
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f243,f463]) ).

fof(f386,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f129,f314]) ).

fof(f527,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(avatar_contradiction_clause,[],[f526]) ).

fof(f526,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f525]) ).

fof(f525,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f514,f1]) ).

fof(f514,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(backward_demodulation,[],[f340,f484]) ).

fof(f484,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_11 ),
    inference(superposition,[],[f140,f463]) ).

fof(f340,plain,
    ( sk_c8 != multiply(sk_c2,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | spl0_9
    | ~ spl0_10 ),
    inference(backward_demodulation,[],[f82,f335]) ).

fof(f82,plain,
    ( sk_c6 != multiply(sk_c2,sk_c8)
    | spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f81,plain,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f385,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f384]) ).

fof(f384,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f383]) ).

fof(f383,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f379,f316]) ).

fof(f379,plain,
    ( sk_c8 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f375]) ).

fof(f375,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f374,f317]) ).

fof(f374,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f373,f314]) ).

fof(f373,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f135,f314]) ).

fof(f135,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f134]) ).

fof(f134,plain,
    ( spl0_16
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f372,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f371]) ).

fof(f371,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f370]) ).

fof(f370,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f367,f316]) ).

fof(f367,plain,
    ( sk_c8 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f362]) ).

fof(f362,plain,
    ( sk_c8 != multiply(sk_c3,sk_c8)
    | sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(superposition,[],[f361,f317]) ).

fof(f361,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c8) )
    | ~ spl0_1
    | ~ spl0_6
    | ~ spl0_10
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f132,f314]) ).

fof(f132,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f131,plain,
    ( spl0_15
  <=> ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f358,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(trivial_inequality_removal,[],[f356]) ).

fof(f356,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(superposition,[],[f355,f332]) ).

fof(f355,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(forward_demodulation,[],[f354,f314]) ).

fof(f354,plain,
    ( sk_c8 != multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | spl0_12 ),
    inference(forward_demodulation,[],[f101,f335]) ).

fof(f101,plain,
    ( multiply(sk_c8,sk_c7) != sk_c6
    | spl0_12 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl0_12
  <=> multiply(sk_c8,sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f353,plain,
    ( ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f352]) ).

fof(f352,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f351]) ).

fof(f351,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f348,f316]) ).

fof(f348,plain,
    ( sk_c8 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f342]) ).

fof(f342,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c3,sk_c8)
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(superposition,[],[f339,f317]) ).

fof(f339,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c8) )
    | ~ spl0_1
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_8
    | ~ spl0_10
    | ~ spl0_13 ),
    inference(backward_demodulation,[],[f126,f335]) ).

fof(f126,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f125]) ).

fof(f125,plain,
    ( spl0_13
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f240,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f239]) ).

fof(f239,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f238]) ).

fof(f238,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f237,f1]) ).

fof(f237,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f236]) ).

fof(f236,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f235,f213]) ).

fof(f213,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f92,f205]) ).

fof(f205,plain,
    ( identity = sk_c2
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f197,f140]) ).

fof(f197,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f148,f189]) ).

fof(f189,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f157,f146]) ).

fof(f146,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f145,f1]) ).

fof(f145,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f139]) ).

fof(f139,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f49]) ).

fof(f49,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f47]) ).

fof(f47,plain,
    ( spl0_2
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f157,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f143,f152]) ).

fof(f152,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f102,f149]) ).

fof(f149,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(superposition,[],[f146,f74]) ).

fof(f74,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f72]) ).

fof(f72,plain,
    ( spl0_7
  <=> sk_c7 = multiply(sk_c1,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f102,plain,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f143,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f83]) ).

fof(f83,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f81]) ).

fof(f235,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f234,f164]) ).

fof(f164,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f153,f162]) ).

fof(f162,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f148,f155]) ).

fof(f155,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f83,f152]) ).

fof(f153,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f54,f152]) ).

fof(f54,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f52]) ).

fof(f234,plain,
    ( ! [X5] :
        ( sk_c8 != inverse(X5)
        | sk_c8 != multiply(X5,sk_c7) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f135,f164]) ).

fof(f233,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f232]) ).

fof(f232,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f231]) ).

fof(f231,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f230,f1]) ).

fof(f230,plain,
    ( sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f229]) ).

fof(f229,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(identity,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(superposition,[],[f228,f213]) ).

fof(f228,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c8) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f132,f164]) ).

fof(f227,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f226,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f222]) ).

fof(f222,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f221,f162]) ).

fof(f221,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f220,f1]) ).

fof(f220,plain,
    ( sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f219]) ).

fof(f219,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c8,multiply(identity,sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f188,f213]) ).

fof(f188,plain,
    ( ! [X7] :
        ( sk_c8 != inverse(X7)
        | sk_c8 != multiply(sk_c8,multiply(X7,sk_c8)) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f129,f164]) ).

fof(f187,plain,
    ( ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f186]) ).

fof(f186,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f185]) ).

fof(f185,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f183,f155]) ).

fof(f183,plain,
    ( sk_c8 != multiply(sk_c2,sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f182]) ).

fof(f182,plain,
    ( sk_c8 != multiply(sk_c2,sk_c8)
    | sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f178,f92]) ).

fof(f178,plain,
    ( ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c8) )
    | ~ spl0_2
    | ~ spl0_7
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f126,f152]) ).

fof(f177,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f176]) ).

fof(f176,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f174]) ).

fof(f174,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f168,f162]) ).

fof(f168,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | spl0_8
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f154,f164]) ).

fof(f154,plain,
    ( sk_c8 != multiply(sk_c7,sk_c8)
    | ~ spl0_2
    | ~ spl0_7
    | spl0_8
    | ~ spl0_12 ),
    inference(backward_demodulation,[],[f77,f152]) ).

fof(f77,plain,
    ( sk_c6 != multiply(sk_c7,sk_c8)
    | spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f138,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f37,f90,f43]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f137,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f47,f76]) ).

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

fof(f136,plain,
    ( ~ spl0_8
    | spl0_13
    | ~ spl0_12
    | spl0_14
    | ~ spl0_3
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f41,f134,f131,f52,f128,f100,f125,f76]) ).

fof(f41,plain,
    ! [X3,X7,X4,X5] :
      ( sk_c7 != inverse(X5)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(sk_c8,multiply(X7,sk_c8))
      | sk_c8 != inverse(X7)
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c6 != multiply(X4,sk_c8) ),
    inference(equality_resolution,[],[f40]) ).

fof(f40,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c7 != multiply(sk_c8,X6)
      | sk_c8 != inverse(X3)
      | sk_c8 != inverse(X7)
      | sk_c8 != inverse(X4)
      | multiply(X7,sk_c8) != X6
      | multiply(sk_c8,sk_c7) != sk_c6
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c6 != multiply(sk_c7,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c7 != inverse(X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f123,plain,
    ( spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f5,f57,f100]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f122,plain,
    ( spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f18,f62,f47]) ).

fof(f18,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f121,plain,
    ( spl0_3
    | spl0_6 ),
    inference(avatar_split_clause,[],[f27,f67,f52]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f120,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f62,f72]) ).

fof(f12,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f119,plain,
    ( spl0_8
    | spl0_11 ),
    inference(avatar_split_clause,[],[f34,f90,f76]) ).

fof(f34,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f118,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f26,f52,f85]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f117,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f14,f72,f85]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f116,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f15,f67,f72]) ).

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

fof(f115,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f13,f72,f43]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f114,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f29,f57,f81]) ).

fof(f29,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f113,plain,
    ( spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f7,f43,f100]) ).

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

fof(f112,plain,
    ( spl0_5
    | spl0_12 ),
    inference(avatar_split_clause,[],[f6,f100,f62]) ).

fof(f6,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f111,plain,
    ( spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f28,f81,f76]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | sk_c6 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f110,plain,
    ( spl0_9
    | spl0_1 ),
    inference(avatar_split_clause,[],[f31,f43,f81]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f109,plain,
    ( spl0_12
    | spl0_8 ),
    inference(avatar_split_clause,[],[f4,f76,f100]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f108,plain,
    ( spl0_5
    | spl0_9 ),
    inference(avatar_split_clause,[],[f30,f81,f62]) ).

fof(f30,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).

fof(f107,plain,
    ( spl0_6
    | spl0_9 ),
    inference(avatar_split_clause,[],[f33,f81,f67]) ).

fof(f33,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f106,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f20,f47,f85]) ).

fof(f20,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f105,plain,
    ( spl0_11
    | spl0_4 ),
    inference(avatar_split_clause,[],[f35,f57,f90]) ).

fof(f35,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).

fof(f104,plain,
    ( spl0_10
    | spl0_12 ),
    inference(avatar_split_clause,[],[f8,f100,f85]) ).

fof(f8,axiom,
    ( multiply(sk_c8,sk_c7) = sk_c6
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f103,plain,
    ( spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f9,f67,f100]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c8,sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f98,plain,
    ( spl0_10
    | spl0_11 ),
    inference(avatar_split_clause,[],[f38,f90,f85]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c5 = multiply(sk_c4,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f97,plain,
    ( spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f36,f62,f90]) ).

fof(f36,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).

fof(f96,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f22,f52,f76]) ).

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

fof(f95,plain,
    ( spl0_4
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f47,f57]) ).

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f94,plain,
    ( spl0_4
    | spl0_7 ),
    inference(avatar_split_clause,[],[f11,f72,f57]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f93,plain,
    ( spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f39,f90,f67]) ).

fof(f39,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f88,plain,
    ( spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f32,f85,f81]) ).

fof(f32,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f79,plain,
    ( spl0_7
    | spl0_8 ),
    inference(avatar_split_clause,[],[f10,f76,f72]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c7,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f70,plain,
    ( spl0_6
    | spl0_2 ),
    inference(avatar_split_clause,[],[f21,f47,f67]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f65,plain,
    ( spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f24,f62,f52]) ).

fof(f24,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f60,plain,
    ( spl0_4
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f52,f57]) ).

fof(f23,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f55,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f25,f43,f52]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f50,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f47,f43]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c8,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem    : GRP293-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 22:35:03 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.54  % (3658)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)
% 0.19/0.55  % (3659)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)
% 0.19/0.56  % (3676)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)
% 0.19/0.56  % (3668)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)
% 0.19/0.56  % (3675)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)
% 0.19/0.57  % (3667)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)
% 0.19/0.57  % (3659)Refutation not found, incomplete strategy% (3659)------------------------------
% 0.19/0.57  % (3659)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3668)Instruction limit reached!
% 0.19/0.57  % (3668)------------------------------
% 0.19/0.57  % (3668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3676)Refutation not found, incomplete strategy% (3676)------------------------------
% 0.19/0.57  % (3676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.57  % (3659)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (3659)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.57  
% 0.19/0.57  % (3659)Memory used [KB]: 6012
% 0.19/0.57  % (3659)Time elapsed: 0.146 s
% 0.19/0.57  % (3659)Instructions burned: 9 (million)
% 0.19/0.57  % (3659)------------------------------
% 0.19/0.57  % (3659)------------------------------
% 0.19/0.58  % (3676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (3676)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.58  
% 0.19/0.58  % (3676)Memory used [KB]: 5884
% 0.19/0.58  % (3676)Time elapsed: 0.153 s
% 0.19/0.58  % (3676)Instructions burned: 4 (million)
% 0.19/0.58  % (3676)------------------------------
% 0.19/0.58  % (3676)------------------------------
% 0.19/0.58  % (3668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58  % (3668)Termination reason: Unknown
% 0.19/0.58  % (3668)Termination phase: Finite model building preprocessing
% 0.19/0.58  
% 0.19/0.58  % (3668)Memory used [KB]: 6012
% 0.19/0.58  % (3668)Time elapsed: 0.006 s
% 0.19/0.58  % (3668)Instructions burned: 7 (million)
% 0.19/0.58  % (3668)------------------------------
% 0.19/0.58  % (3668)------------------------------
% 0.19/0.59  % (3655)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.59  % (3652)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.59  % (3657)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.60  % (3655)Refutation not found, incomplete strategy% (3655)------------------------------
% 0.19/0.60  % (3655)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (3656)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)
% 0.19/0.60  % (3662)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)
% 0.19/0.60  % (3680)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)
% 0.19/0.60  % (3669)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)
% 0.19/0.60  % (3682)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)
% 0.19/0.60  % (3678)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.61/0.61  % (3654)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 1.61/0.61  % (3681)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 1.61/0.61  % (3663)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.61/0.61  % (3660)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.61/0.61  % (3654)Instruction limit reached!
% 1.61/0.61  % (3654)------------------------------
% 1.61/0.61  % (3654)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61  % (3654)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61  % (3654)Termination reason: Unknown
% 1.61/0.61  % (3654)Termination phase: Saturation
% 1.61/0.61  
% 1.61/0.61  % (3654)Memory used [KB]: 5884
% 1.61/0.61  % (3654)Time elapsed: 0.180 s
% 1.61/0.61  % (3654)Instructions burned: 5 (million)
% 1.61/0.61  % (3654)------------------------------
% 1.61/0.61  % (3654)------------------------------
% 1.61/0.61  % (3660)Instruction limit reached!
% 1.61/0.61  % (3660)------------------------------
% 1.61/0.61  % (3660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61  % (3660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61  % (3660)Termination reason: Unknown
% 1.61/0.61  % (3660)Termination phase: Saturation
% 1.61/0.61  
% 1.61/0.61  % (3660)Memory used [KB]: 1279
% 1.61/0.61  % (3660)Time elapsed: 0.002 s
% 1.61/0.61  % (3660)Instructions burned: 3 (million)
% 1.61/0.61  % (3660)------------------------------
% 1.61/0.61  % (3660)------------------------------
% 1.61/0.61  % (3669)Instruction limit reached!
% 1.61/0.61  % (3669)------------------------------
% 1.61/0.61  % (3669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61  % (3669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61  % (3669)Termination reason: Unknown
% 1.61/0.61  % (3669)Termination phase: Saturation
% 1.61/0.61  
% 1.61/0.61  % (3669)Memory used [KB]: 5884
% 1.61/0.61  % (3669)Time elapsed: 0.004 s
% 1.61/0.61  % (3669)Instructions burned: 3 (million)
% 1.61/0.61  % (3669)------------------------------
% 1.61/0.61  % (3669)------------------------------
% 1.61/0.61  % (3666)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)
% 1.61/0.61  % (3656)Refutation not found, incomplete strategy% (3656)------------------------------
% 1.61/0.61  % (3656)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61  % (3656)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61  % (3656)Termination reason: Refutation not found, incomplete strategy
% 1.61/0.61  
% 1.61/0.61  % (3656)Memory used [KB]: 5884
% 1.61/0.61  % (3656)Time elapsed: 0.182 s
% 1.61/0.61  % (3656)Instructions burned: 5 (million)
% 1.61/0.61  % (3656)------------------------------
% 1.61/0.61  % (3656)------------------------------
% 1.61/0.61  % (3677)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)
% 1.61/0.61  % (3671)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 1.61/0.61  % (3665)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.61/0.61  % (3653)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 1.61/0.62  % (3665)Instruction limit reached!
% 1.61/0.62  % (3665)------------------------------
% 1.61/0.62  % (3665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.62  % (3665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.62  % (3665)Termination reason: Unknown
% 1.61/0.62  % (3665)Termination phase: Saturation
% 1.61/0.62  
% 1.61/0.62  % (3665)Memory used [KB]: 5884
% 1.61/0.62  % (3665)Time elapsed: 0.196 s
% 1.61/0.62  % (3665)Instructions burned: 5 (million)
% 1.61/0.62  % (3665)------------------------------
% 1.61/0.62  % (3665)------------------------------
% 1.61/0.62  % (3661)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.61/0.62  % (3662)Instruction limit reached!
% 1.61/0.62  % (3662)------------------------------
% 1.61/0.62  % (3662)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.62  % (3679)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.61/0.62  % (3673)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.61/0.62  % (3662)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.62  % (3662)Termination reason: Unknown
% 1.61/0.62  % (3662)Termination phase: Saturation
% 1.61/0.62  
% 1.61/0.62  % (3662)Memory used [KB]: 5884
% 1.61/0.62  % (3662)Time elapsed: 0.199 s
% 1.61/0.62  % (3662)Instructions burned: 6 (million)
% 1.61/0.62  % (3662)------------------------------
% 1.61/0.62  % (3662)------------------------------
% 1.61/0.62  % (3674)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)
% 1.61/0.62  % (3673)Instruction limit reached!
% 1.61/0.62  % (3673)------------------------------
% 1.61/0.62  % (3673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.62  % (3673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.62  % (3673)Termination reason: Unknown
% 1.61/0.62  % (3673)Termination phase: Saturation
% 1.61/0.62  
% 1.61/0.62  % (3673)Memory used [KB]: 1407
% 1.61/0.62  % (3673)Time elapsed: 0.004 s
% 1.61/0.62  % (3673)Instructions burned: 6 (million)
% 1.61/0.62  % (3673)------------------------------
% 1.61/0.62  % (3673)------------------------------
% 2.11/0.62  % (3655)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.62  % (3655)Termination reason: Refutation not found, incomplete strategy
% 2.11/0.62  
% 2.11/0.62  % (3655)Memory used [KB]: 5884
% 2.11/0.62  % (3655)Time elapsed: 0.174 s
% 2.11/0.62  % (3655)Instructions burned: 5 (million)
% 2.11/0.62  % (3655)------------------------------
% 2.11/0.62  % (3655)------------------------------
% 2.11/0.62  % (3667)Instruction limit reached!
% 2.11/0.62  % (3667)------------------------------
% 2.11/0.62  % (3667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.62  % (3667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.62  % (3667)Termination reason: Unknown
% 2.11/0.62  % (3667)Termination phase: Saturation
% 2.11/0.62  
% 2.11/0.62  % (3667)Memory used [KB]: 1663
% 2.11/0.62  % (3667)Time elapsed: 0.190 s
% 2.11/0.62  % (3667)Instructions burned: 30 (million)
% 2.11/0.62  % (3667)------------------------------
% 2.11/0.62  % (3667)------------------------------
% 2.11/0.62  % (3666)Instruction limit reached!
% 2.11/0.62  % (3666)------------------------------
% 2.11/0.62  % (3666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.62  % (3666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.62  % (3666)Termination reason: Unknown
% 2.11/0.62  % (3666)Termination phase: Saturation
% 2.11/0.62  
% 2.11/0.62  % (3666)Memory used [KB]: 5884
% 2.11/0.62  % (3666)Time elapsed: 0.002 s
% 2.11/0.62  % (3666)Instructions burned: 3 (million)
% 2.11/0.62  % (3666)------------------------------
% 2.11/0.62  % (3666)------------------------------
% 2.11/0.62  % (3672)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)
% 2.11/0.63  % (3681)Instruction limit reached!
% 2.11/0.63  % (3681)------------------------------
% 2.11/0.63  % (3681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (3681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (3681)Termination reason: Unknown
% 2.11/0.63  % (3681)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (3681)Memory used [KB]: 6396
% 2.11/0.63  % (3681)Time elapsed: 0.196 s
% 2.11/0.63  % (3681)Instructions burned: 20 (million)
% 2.11/0.63  % (3681)------------------------------
% 2.11/0.63  % (3681)------------------------------
% 2.11/0.63  % (3658)Instruction limit reached!
% 2.11/0.63  % (3658)------------------------------
% 2.11/0.63  % (3658)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (3658)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (3658)Termination reason: Unknown
% 2.11/0.63  % (3658)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (3658)Memory used [KB]: 1663
% 2.11/0.63  % (3658)Time elapsed: 0.205 s
% 2.11/0.63  % (3658)Instructions burned: 50 (million)
% 2.11/0.63  % (3658)------------------------------
% 2.11/0.63  % (3658)------------------------------
% 2.11/0.63  % (3672)Instruction limit reached!
% 2.11/0.63  % (3672)------------------------------
% 2.11/0.63  % (3672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.63  % (3672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.63  % (3672)Termination reason: Unknown
% 2.11/0.63  % (3672)Termination phase: Saturation
% 2.11/0.63  
% 2.11/0.63  % (3672)Memory used [KB]: 6012
% 2.11/0.63  % (3672)Time elapsed: 0.206 s
% 2.11/0.63  % (3672)Instructions burned: 7 (million)
% 2.11/0.63  % (3672)------------------------------
% 2.11/0.63  % (3672)------------------------------
% 2.11/0.63  % (3670)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.11/0.63  % (3670)Instruction limit reached!
% 2.11/0.63  % (3670)------------------------------
% 2.11/0.63  % (3670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (3671)First to succeed.
% 2.11/0.64  % (3663)Instruction limit reached!
% 2.11/0.64  % (3663)------------------------------
% 2.11/0.64  % (3663)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.64  % (3663)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (3663)Termination reason: Unknown
% 2.11/0.64  % (3663)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (3663)Memory used [KB]: 6140
% 2.11/0.64  % (3663)Time elapsed: 0.230 s
% 2.11/0.64  % (3663)Instructions burned: 23 (million)
% 2.11/0.64  % (3663)------------------------------
% 2.11/0.64  % (3663)------------------------------
% 2.11/0.64  % (3670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.64  % (3670)Termination reason: Unknown
% 2.11/0.64  % (3670)Termination phase: Saturation
% 2.11/0.64  
% 2.11/0.64  % (3670)Memory used [KB]: 6012
% 2.11/0.64  % (3670)Time elapsed: 0.158 s
% 2.11/0.64  % (3670)Instructions burned: 9 (million)
% 2.11/0.64  % (3670)------------------------------
% 2.11/0.64  % (3670)------------------------------
% 2.11/0.66  % (3657)Also succeeded, but the first one will report.
% 2.11/0.66  % (3671)Refutation found. Thanks to Tanya!
% 2.11/0.66  % SZS status Unsatisfiable for theBenchmark
% 2.11/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.11/0.67  % (3671)------------------------------
% 2.11/0.67  % (3671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.11/0.67  % (3671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.11/0.67  % (3671)Termination reason: Refutation
% 2.11/0.67  
% 2.11/0.67  % (3671)Memory used [KB]: 10618
% 2.11/0.67  % (3671)Time elapsed: 0.218 s
% 2.11/0.67  % (3671)Instructions burned: 19 (million)
% 2.11/0.67  % (3671)------------------------------
% 2.11/0.67  % (3671)------------------------------
% 2.11/0.67  % (3651)Success in time 0.321 s
%------------------------------------------------------------------------------