TSTP Solution File: GRP275-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP275-1 : 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 : n026.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 16:15:09 EDT 2022

% Result   : Unsatisfiable 1.52s 0.71s
% Output   : Refutation 1.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   57
% Syntax   : Number of formulae    :  239 (  23 unt;   0 def)
%            Number of atoms       :  706 ( 292 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  868 ( 401   ~; 452   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :   36 (  36   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f747,plain,
    $false,
    inference(avatar_sat_refutation,[],[f86,f91,f96,f101,f106,f115,f121,f122,f127,f128,f134,f135,f136,f137,f138,f139,f140,f142,f143,f144,f145,f146,f147,f148,f149,f150,f151,f161,f337,f374,f424,f558,f571,f591,f613,f656,f715,f746]) ).

fof(f746,plain,
    ( ~ spl11_1
    | ~ spl11_3
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(avatar_contradiction_clause,[],[f745]) ).

fof(f745,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(subsumption_resolution,[],[f744,f694]) ).

fof(f694,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f489,f691]) ).

fof(f691,plain,
    ( sk_c8 = sk_c3
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f486,f679]) ).

fof(f679,plain,
    ( sk_c8 = multiply(inverse(sk_c8),identity)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f644,f620]) ).

fof(f620,plain,
    ( identity = sk_c7
    | ~ spl11_33 ),
    inference(avatar_component_clause,[],[f619]) ).

fof(f619,plain,
    ( spl11_33
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_33])]) ).

fof(f644,plain,
    ( sk_c8 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl11_1
    | ~ spl11_3 ),
    inference(superposition,[],[f184,f502]) ).

fof(f502,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl11_1
    | ~ spl11_3 ),
    inference(forward_demodulation,[],[f501,f81]) ).

fof(f81,plain,
    ( sk_c8 = sF7
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl11_1
  <=> sk_c8 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f501,plain,
    ( sk_c7 = multiply(sF7,sk_c8)
    | ~ spl11_3 ),
    inference(forward_demodulation,[],[f214,f90]) ).

fof(f90,plain,
    ( sk_c8 = sF9
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl11_3
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f214,plain,
    sk_c7 = multiply(sF7,sF9),
    inference(forward_demodulation,[],[f204,f48]) ).

fof(f48,plain,
    inverse(sk_c3) = sF7,
    introduced(function_definition,[]) ).

fof(f204,plain,
    sk_c7 = multiply(inverse(sk_c3),sF9),
    inference(superposition,[],[f184,f51]) ).

fof(f51,plain,
    multiply(sk_c3,sk_c7) = sF9,
    introduced(function_definition,[]) ).

fof(f184,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f173,f1]) ).

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

fof(f173,plain,
    ! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
    inference(superposition,[],[f3,f2]) ).

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

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f486,plain,
    ( sk_c3 = multiply(inverse(sk_c8),identity)
    | ~ spl11_1 ),
    inference(backward_demodulation,[],[f209,f81]) ).

fof(f209,plain,
    sk_c3 = multiply(inverse(sF7),identity),
    inference(superposition,[],[f184,f168]) ).

fof(f168,plain,
    identity = multiply(sF7,sk_c3),
    inference(superposition,[],[f2,f48]) ).

fof(f489,plain,
    ( sk_c8 = inverse(sk_c3)
    | ~ spl11_1 ),
    inference(backward_demodulation,[],[f48,f81]) ).

fof(f744,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(forward_demodulation,[],[f743,f694]) ).

fof(f743,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(trivial_inequality_removal,[],[f741]) ).

fof(f741,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | identity != identity
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(superposition,[],[f729,f2]) ).

fof(f729,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) )
    | ~ spl11_12
    | ~ spl11_33 ),
    inference(forward_demodulation,[],[f154,f620]) ).

fof(f154,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c8) )
    | ~ spl11_12 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f153,plain,
    ( spl11_12
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c8)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_12])]) ).

fof(f715,plain,
    ( ~ spl11_1
    | ~ spl11_3
    | spl11_6
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(avatar_contradiction_clause,[],[f714]) ).

fof(f714,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_3
    | spl11_6
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(subsumption_resolution,[],[f659,f698]) ).

fof(f698,plain,
    ( identity = sF1
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f683,f693]) ).

fof(f693,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f488,f691]) ).

fof(f488,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl11_1 ),
    inference(backward_demodulation,[],[f168,f81]) ).

fof(f683,plain,
    ( sF1 = multiply(sk_c8,sk_c8)
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f37,f682]) ).

fof(f682,plain,
    ( sk_c8 = sk_c6
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(forward_demodulation,[],[f664,f1]) ).

fof(f664,plain,
    ( sk_c6 = multiply(identity,sk_c8)
    | ~ spl11_10
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f490,f620]) ).

fof(f490,plain,
    ( multiply(sk_c7,sk_c8) = sk_c6
    | ~ spl11_10 ),
    inference(forward_demodulation,[],[f59,f126]) ).

fof(f126,plain,
    ( sk_c6 = sF10
    | ~ spl11_10 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl11_10
  <=> sk_c6 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_10])]) ).

fof(f59,plain,
    multiply(sk_c7,sk_c8) = sF10,
    introduced(function_definition,[]) ).

fof(f37,plain,
    multiply(sk_c8,sk_c6) = sF1,
    introduced(function_definition,[]) ).

fof(f659,plain,
    ( identity != sF1
    | spl11_6
    | ~ spl11_33 ),
    inference(backward_demodulation,[],[f104,f620]) ).

fof(f104,plain,
    ( sk_c7 != sF1
    | spl11_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl11_6
  <=> sk_c7 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_6])]) ).

fof(f656,plain,
    ( spl11_33
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(avatar_split_clause,[],[f655,f131,f108,f619]) ).

fof(f108,plain,
    ( spl11_7
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_7])]) ).

fof(f131,plain,
    ( spl11_11
  <=> sk_c5 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_11])]) ).

fof(f655,plain,
    ( identity = sk_c7
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(forward_demodulation,[],[f653,f2]) ).

fof(f653,plain,
    ( sk_c7 = multiply(inverse(sk_c5),sk_c5)
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(superposition,[],[f184,f513]) ).

fof(f513,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl11_7
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f496,f110]) ).

fof(f110,plain,
    ( sk_c7 = sF6
    | ~ spl11_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f496,plain,
    ( sk_c5 = multiply(sk_c5,sF6)
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f211,f133]) ).

fof(f133,plain,
    ( sk_c5 = sF0
    | ~ spl11_11 ),
    inference(avatar_component_clause,[],[f131]) ).

fof(f211,plain,
    sk_c5 = multiply(sF0,sF6),
    inference(forward_demodulation,[],[f205,f36]) ).

fof(f36,plain,
    inverse(sk_c4) = sF0,
    introduced(function_definition,[]) ).

fof(f205,plain,
    sk_c5 = multiply(inverse(sk_c4),sF6),
    inference(superposition,[],[f184,f45]) ).

fof(f45,plain,
    multiply(sk_c4,sk_c5) = sF6,
    introduced(function_definition,[]) ).

fof(f613,plain,
    ( ~ spl11_5
    | ~ spl11_7
    | ~ spl11_11
    | ~ spl11_13 ),
    inference(avatar_contradiction_clause,[],[f612]) ).

fof(f612,plain,
    ( $false
    | ~ spl11_5
    | ~ spl11_7
    | ~ spl11_11
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f611,f503]) ).

fof(f503,plain,
    ( sk_c7 = multiply(sk_c5,sk_c8)
    | ~ spl11_5 ),
    inference(forward_demodulation,[],[f40,f100]) ).

fof(f100,plain,
    ( sk_c7 = sF3
    | ~ spl11_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl11_5
  <=> sk_c7 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_5])]) ).

fof(f40,plain,
    multiply(sk_c5,sk_c8) = sF3,
    introduced(function_definition,[]) ).

fof(f611,plain,
    ( sk_c7 != multiply(sk_c5,sk_c8)
    | ~ spl11_7
    | ~ spl11_11
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f599,f515]) ).

fof(f515,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl11_7 ),
    inference(backward_demodulation,[],[f45,f110]) ).

fof(f599,plain,
    ( sk_c7 != multiply(sk_c4,sk_c5)
    | sk_c7 != multiply(sk_c5,sk_c8)
    | ~ spl11_11
    | ~ spl11_13 ),
    inference(superposition,[],[f157,f499]) ).

fof(f499,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl11_11 ),
    inference(backward_demodulation,[],[f36,f133]) ).

fof(f157,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) )
    | ~ spl11_13 ),
    inference(avatar_component_clause,[],[f156]) ).

fof(f156,plain,
    ( spl11_13
  <=> ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c8)
        | sk_c7 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_13])]) ).

fof(f591,plain,
    ( ~ spl11_1
    | ~ spl11_3
    | ~ spl11_14 ),
    inference(avatar_contradiction_clause,[],[f590]) ).

fof(f590,plain,
    ( $false
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_14 ),
    inference(subsumption_resolution,[],[f589,f489]) ).

fof(f589,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl11_3
    | ~ spl11_14 ),
    inference(trivial_inequality_removal,[],[f586]) ).

fof(f586,plain,
    ( sk_c8 != inverse(sk_c3)
    | sk_c8 != sk_c8
    | ~ spl11_3
    | ~ spl11_14 ),
    inference(superposition,[],[f160,f517]) ).

fof(f517,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl11_3 ),
    inference(forward_demodulation,[],[f51,f90]) ).

fof(f160,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c7)
        | sk_c8 != inverse(X4) )
    | ~ spl11_14 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl11_14
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_14])]) ).

fof(f571,plain,
    ( ~ spl11_1
    | spl11_2
    | ~ spl11_3
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(avatar_contradiction_clause,[],[f570]) ).

fof(f570,plain,
    ( $false
    | ~ spl11_1
    | spl11_2
    | ~ spl11_3
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(subsumption_resolution,[],[f569,f84]) ).

fof(f84,plain,
    ( sk_c8 != sF2
    | spl11_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl11_2
  <=> sk_c8 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f569,plain,
    ( sk_c8 = sF2
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f568,f518]) ).

fof(f518,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl11_1
    | ~ spl11_3
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f517,f506]) ).

fof(f506,plain,
    ( sk_c1 = sk_c3
    | ~ spl11_1
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f486,f201]) ).

fof(f201,plain,
    ( sk_c1 = multiply(inverse(sk_c8),identity)
    | ~ spl11_9 ),
    inference(superposition,[],[f184,f167]) ).

fof(f167,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl11_9 ),
    inference(superposition,[],[f2,f166]) ).

fof(f166,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f49,f120]) ).

fof(f120,plain,
    ( sk_c8 = sF8
    | ~ spl11_9 ),
    inference(avatar_component_clause,[],[f118]) ).

fof(f118,plain,
    ( spl11_9
  <=> sk_c8 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_9])]) ).

fof(f49,plain,
    inverse(sk_c1) = sF8,
    introduced(function_definition,[]) ).

fof(f568,plain,
    ( multiply(sk_c1,sk_c7) = sF2
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f39,f216]) ).

fof(f216,plain,
    ( sk_c1 = sk_c2
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f202,f201]) ).

fof(f202,plain,
    ( sk_c2 = multiply(inverse(sk_c8),identity)
    | ~ spl11_4 ),
    inference(superposition,[],[f184,f170]) ).

fof(f170,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl11_4 ),
    inference(superposition,[],[f2,f163]) ).

fof(f163,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl11_4 ),
    inference(backward_demodulation,[],[f44,f95]) ).

fof(f95,plain,
    ( sk_c8 = sF5
    | ~ spl11_4 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl11_4
  <=> sk_c8 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_4])]) ).

fof(f44,plain,
    inverse(sk_c2) = sF5,
    introduced(function_definition,[]) ).

fof(f39,plain,
    multiply(sk_c2,sk_c7) = sF2,
    introduced(function_definition,[]) ).

fof(f558,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_14 ),
    inference(avatar_contradiction_clause,[],[f557]) ).

fof(f557,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_14 ),
    inference(subsumption_resolution,[],[f547,f166]) ).

fof(f547,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_14 ),
    inference(trivial_inequality_removal,[],[f546]) ).

fof(f546,plain,
    ( sk_c8 != inverse(sk_c1)
    | sk_c8 != sk_c8
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_9
    | ~ spl11_14 ),
    inference(superposition,[],[f160,f220]) ).

fof(f220,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f165,f216]) ).

fof(f165,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl11_2 ),
    inference(backward_demodulation,[],[f39,f85]) ).

fof(f85,plain,
    ( sk_c8 = sF2
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f424,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(avatar_contradiction_clause,[],[f423]) ).

fof(f423,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(subsumption_resolution,[],[f400,f316]) ).

fof(f316,plain,
    ( identity = multiply(sk_c1,sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f167,f310]) ).

fof(f310,plain,
    ( sk_c1 = sk_c8
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f309,f1]) ).

fof(f309,plain,
    ( sk_c8 = multiply(identity,sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f278,f302]) ).

fof(f302,plain,
    ( sk_c1 = sk_c6
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f270,f201]) ).

fof(f270,plain,
    ( sk_c6 = multiply(inverse(sk_c8),identity)
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f200,f259]) ).

fof(f259,plain,
    ( identity = sk_c7
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f257,f2]) ).

fof(f257,plain,
    ( sk_c7 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(superposition,[],[f184,f213]) ).

fof(f213,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f199,f166]) ).

fof(f199,plain,
    ( sk_c8 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl11_8 ),
    inference(superposition,[],[f184,f162]) ).

fof(f162,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl11_8 ),
    inference(backward_demodulation,[],[f42,f114]) ).

fof(f114,plain,
    ( sk_c7 = sF4
    | ~ spl11_8 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl11_8
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_8])]) ).

fof(f42,plain,
    multiply(sk_c1,sk_c8) = sF4,
    introduced(function_definition,[]) ).

fof(f200,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c7)
    | ~ spl11_6 ),
    inference(superposition,[],[f184,f164]) ).

fof(f164,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl11_6 ),
    inference(backward_demodulation,[],[f37,f105]) ).

fof(f105,plain,
    ( sk_c7 = sF1
    | ~ spl11_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f278,plain,
    ( sk_c8 = multiply(identity,sk_c6)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f231,f259]) ).

fof(f231,plain,
    ( sk_c8 = multiply(sk_c7,sk_c6)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f225,f220]) ).

fof(f225,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c7,sk_c6)
    | ~ spl11_6
    | ~ spl11_8 ),
    inference(superposition,[],[f174,f164]) ).

fof(f174,plain,
    ( ! [X8] : multiply(sk_c7,X8) = multiply(sk_c1,multiply(sk_c8,X8))
    | ~ spl11_8 ),
    inference(superposition,[],[f3,f162]) ).

fof(f400,plain,
    ( identity != multiply(sk_c1,sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(duplicate_literal_removal,[],[f396]) ).

fof(f396,plain,
    ( identity != multiply(sk_c1,sk_c1)
    | identity != multiply(sk_c1,sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(superposition,[],[f395,f315]) ).

fof(f315,plain,
    ( sk_c1 = inverse(sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f166,f310]) ).

fof(f395,plain,
    ( ! [X6] :
        ( identity != multiply(inverse(X6),sk_c1)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(forward_demodulation,[],[f394,f259]) ).

fof(f394,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(inverse(X6),sk_c1)
        | identity != multiply(X6,inverse(X6)) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(forward_demodulation,[],[f393,f259]) ).

fof(f393,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,inverse(X6))
        | sk_c7 != multiply(inverse(X6),sk_c1) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_13 ),
    inference(forward_demodulation,[],[f157,f310]) ).

fof(f374,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(avatar_contradiction_clause,[],[f373]) ).

fof(f373,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(subsumption_resolution,[],[f372,f315]) ).

fof(f372,plain,
    ( sk_c1 != inverse(sk_c1)
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f371,f315]) ).

fof(f371,plain,
    ( sk_c1 != inverse(inverse(sk_c1))
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(trivial_inequality_removal,[],[f369]) ).

fof(f369,plain,
    ( identity != identity
    | sk_c1 != inverse(inverse(sk_c1))
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(superposition,[],[f358,f2]) ).

fof(f358,plain,
    ( ! [X3] :
        ( identity != multiply(X3,sk_c1)
        | sk_c1 != inverse(X3) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f357,f259]) ).

fof(f357,plain,
    ( ! [X3] :
        ( sk_c1 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c1) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f356,f310]) ).

fof(f356,plain,
    ( ! [X3] :
        ( sk_c8 != inverse(X3)
        | sk_c7 != multiply(X3,sk_c1) )
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | ~ spl11_12 ),
    inference(forward_demodulation,[],[f154,f310]) ).

fof(f337,plain,
    ( ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | spl11_10 ),
    inference(avatar_contradiction_clause,[],[f336]) ).

fof(f336,plain,
    ( $false
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | spl11_10 ),
    inference(subsumption_resolution,[],[f335,f303]) ).

fof(f303,plain,
    ( sk_c1 != sF10
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9
    | spl11_10 ),
    inference(backward_demodulation,[],[f125,f302]) ).

fof(f125,plain,
    ( sk_c6 != sF10
    | spl11_10 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f335,plain,
    ( sk_c1 = sF10
    | ~ spl11_2
    | ~ spl11_4
    | ~ spl11_6
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f334,f310]) ).

fof(f334,plain,
    ( sk_c8 = sF10
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(forward_demodulation,[],[f261,f1]) ).

fof(f261,plain,
    ( multiply(identity,sk_c8) = sF10
    | ~ spl11_8
    | ~ spl11_9 ),
    inference(backward_demodulation,[],[f59,f259]) ).

fof(f161,plain,
    ( ~ spl11_6
    | spl11_12
    | spl11_13
    | spl11_14
    | spl11_14
    | ~ spl11_10 ),
    inference(avatar_split_clause,[],[f60,f124,f159,f159,f156,f153,f103]) ).

fof(f60,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != sF10
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(inverse(X6),sk_c8)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c7 != sF1
      | sk_c7 != multiply(X6,inverse(X6))
      | sk_c8 != inverse(X5)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(definition_folding,[],[f35,f59,f37]) ).

fof(f35,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X6,inverse(X6))
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(inverse(X6),sk_c8)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c8 != inverse(X3) ),
    inference(equality_resolution,[],[f34]) ).

fof(f34,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( sk_c7 != multiply(sk_c8,sk_c6)
      | sk_c7 != multiply(X6,X7)
      | inverse(X6) != X7
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != multiply(X7,sk_c8)
      | multiply(sk_c7,sk_c8) != sk_c6
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c8 != inverse(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f151,plain,
    ( spl11_3
    | spl11_6 ),
    inference(avatar_split_clause,[],[f76,f103,f88]) ).

fof(f76,plain,
    ( sk_c7 = sF1
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f18,f37,f51]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f150,plain,
    ( spl11_7
    | spl11_2 ),
    inference(avatar_split_clause,[],[f63,f83,f108]) ).

fof(f63,plain,
    ( sk_c8 = sF2
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f31,f45,f39]) ).

fof(f31,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).

fof(f149,plain,
    ( spl11_3
    | spl11_4 ),
    inference(avatar_split_clause,[],[f56,f93,f88]) ).

fof(f56,plain,
    ( sk_c8 = sF5
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f24,f44,f51]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

fof(f148,plain,
    ( spl11_11
    | spl11_8 ),
    inference(avatar_split_clause,[],[f43,f112,f131]) ).

fof(f43,plain,
    ( sk_c7 = sF4
    | sk_c5 = sF0 ),
    inference(definition_folding,[],[f8,f42,f36]) ).

fof(f8,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f147,plain,
    ( spl11_3
    | spl11_9 ),
    inference(avatar_split_clause,[],[f58,f118,f88]) ).

fof(f58,plain,
    ( sk_c8 = sF8
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f12,f49,f51]) ).

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

fof(f146,plain,
    ( spl11_9
    | spl11_11 ),
    inference(avatar_split_clause,[],[f57,f131,f118]) ).

fof(f57,plain,
    ( sk_c5 = sF0
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f14,f36,f49]) ).

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

fof(f145,plain,
    ( spl11_11
    | spl11_2 ),
    inference(avatar_split_clause,[],[f75,f83,f131]) ).

fof(f75,plain,
    ( sk_c8 = sF2
    | sk_c5 = sF0 ),
    inference(definition_folding,[],[f32,f36,f39]) ).

fof(f32,axiom,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | sk_c5 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f144,plain,
    ( spl11_4
    | spl11_7 ),
    inference(avatar_split_clause,[],[f46,f108,f93]) ).

fof(f46,plain,
    ( sk_c7 = sF6
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f25,f45,f44]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).

fof(f143,plain,
    ( spl11_11
    | spl11_6 ),
    inference(avatar_split_clause,[],[f38,f103,f131]) ).

fof(f38,plain,
    ( sk_c7 = sF1
    | sk_c5 = sF0 ),
    inference(definition_folding,[],[f20,f37,f36]) ).

fof(f20,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f142,plain,
    ( spl11_8
    | spl11_3 ),
    inference(avatar_split_clause,[],[f72,f88,f112]) ).

fof(f72,plain,
    ( sk_c8 = sF9
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f6,f51,f42]) ).

fof(f6,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c8 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f140,plain,
    ( spl11_10
    | spl11_6 ),
    inference(avatar_split_clause,[],[f70,f103,f124]) ).

fof(f70,plain,
    ( sk_c7 = sF1
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f16,f59,f37]) ).

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

fof(f139,plain,
    ( spl11_8
    | spl11_5 ),
    inference(avatar_split_clause,[],[f74,f98,f112]) ).

fof(f74,plain,
    ( sk_c7 = sF3
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f9,f40,f42]) ).

fof(f9,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f138,plain,
    ( spl11_8
    | spl11_1 ),
    inference(avatar_split_clause,[],[f53,f79,f112]) ).

fof(f53,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f5,f48,f42]) ).

fof(f5,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f137,plain,
    ( spl11_4
    | spl11_10 ),
    inference(avatar_split_clause,[],[f62,f124,f93]) ).

fof(f62,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f22,f59,f44]) ).

fof(f22,axiom,
    ( sk_c8 = inverse(sk_c2)
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f136,plain,
    ( spl11_9
    | spl11_7 ),
    inference(avatar_split_clause,[],[f68,f108,f118]) ).

fof(f68,plain,
    ( sk_c7 = sF6
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f13,f49,f45]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f135,plain,
    ( spl11_10
    | spl11_8 ),
    inference(avatar_split_clause,[],[f69,f112,f124]) ).

fof(f69,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f4,f59,f42]) ).

fof(f4,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | multiply(sk_c7,sk_c8) = sk_c6 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f134,plain,
    ( spl11_11
    | spl11_4 ),
    inference(avatar_split_clause,[],[f47,f93,f131]) ).

fof(f47,plain,
    ( sk_c8 = sF5
    | sk_c5 = sF0 ),
    inference(definition_folding,[],[f26,f44,f36]) ).

fof(f26,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f128,plain,
    ( spl11_5
    | spl11_9 ),
    inference(avatar_split_clause,[],[f71,f118,f98]) ).

fof(f71,plain,
    ( sk_c8 = sF8
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f15,f40,f49]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f127,plain,
    ( spl11_9
    | spl11_10 ),
    inference(avatar_split_clause,[],[f61,f124,f118]) ).

fof(f61,plain,
    ( sk_c6 = sF10
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f10,f49,f59]) ).

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

fof(f122,plain,
    ( spl11_7
    | spl11_6 ),
    inference(avatar_split_clause,[],[f66,f103,f108]) ).

fof(f66,plain,
    ( sk_c7 = sF1
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f19,f45,f37]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f121,plain,
    ( spl11_9
    | spl11_1 ),
    inference(avatar_split_clause,[],[f50,f79,f118]) ).

fof(f50,plain,
    ( sk_c8 = sF7
    | sk_c8 = sF8 ),
    inference(definition_folding,[],[f11,f49,f48]) ).

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

fof(f115,plain,
    ( spl11_7
    | spl11_8 ),
    inference(avatar_split_clause,[],[f77,f112,f108]) ).

fof(f77,plain,
    ( sk_c7 = sF4
    | sk_c7 = sF6 ),
    inference(definition_folding,[],[f7,f45,f42]) ).

fof(f7,axiom,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f106,plain,
    ( spl11_6
    | spl11_1 ),
    inference(avatar_split_clause,[],[f65,f79,f103]) ).

fof(f65,plain,
    ( sk_c8 = sF7
    | sk_c7 = sF1 ),
    inference(definition_folding,[],[f17,f48,f37]) ).

fof(f17,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f101,plain,
    ( spl11_5
    | spl11_4 ),
    inference(avatar_split_clause,[],[f67,f93,f98]) ).

fof(f67,plain,
    ( sk_c8 = sF5
    | sk_c7 = sF3 ),
    inference(definition_folding,[],[f27,f40,f44]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c5,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f96,plain,
    ( spl11_4
    | spl11_1 ),
    inference(avatar_split_clause,[],[f55,f79,f93]) ).

fof(f55,plain,
    ( sk_c8 = sF7
    | sk_c8 = sF5 ),
    inference(definition_folding,[],[f23,f48,f44]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c2)
    | sk_c8 = inverse(sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f91,plain,
    ( spl11_3
    | spl11_2 ),
    inference(avatar_split_clause,[],[f52,f83,f88]) ).

fof(f52,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f30,f39,f51]) ).

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

fof(f86,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f73,f83,f79]) ).

fof(f73,plain,
    ( sk_c8 = sF2
    | sk_c8 = sF7 ),
    inference(definition_folding,[],[f29,f48,f39]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP275-1 : 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
% 0.14/0.34  % Computer : n026.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Mon Aug 29 22:37:50 EDT 2022
% 0.14/0.34  % CPUTime    : 
% 0.14/0.36  ipcrm: permission denied for id (660865025)
% 0.14/0.36  ipcrm: permission denied for id (660897794)
% 0.14/0.38  ipcrm: permission denied for id (660963352)
% 0.14/0.40  ipcrm: permission denied for id (660996135)
% 0.21/0.45  ipcrm: permission denied for id (661061716)
% 0.21/0.46  ipcrm: permission denied for id (661094489)
% 0.21/0.49  ipcrm: permission denied for id (661127279)
% 0.21/0.62  % (12964)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 (2998ds/6Mi)
% 0.21/0.62  % (12964)Instruction limit reached!
% 0.21/0.62  % (12964)------------------------------
% 0.21/0.62  % (12964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.62  % (12974)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 (2998ds/6Mi)
% 0.21/0.62  % (12964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.62  % (12964)Termination reason: Unknown
% 0.21/0.62  % (12964)Termination phase: Saturation
% 0.21/0.62  
% 0.21/0.62  % (12964)Memory used [KB]: 6012
% 0.21/0.62  % (12964)Time elapsed: 0.054 s
% 0.21/0.62  % (12964)Instructions burned: 7 (million)
% 0.21/0.62  % (12964)------------------------------
% 0.21/0.62  % (12964)------------------------------
% 0.21/0.63  % (12974)Instruction limit reached!
% 0.21/0.63  % (12974)------------------------------
% 0.21/0.63  % (12974)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.63  % (12974)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.63  % (12974)Termination reason: Unknown
% 0.21/0.63  % (12974)Termination phase: Saturation
% 0.21/0.63  
% 0.21/0.63  % (12974)Memory used [KB]: 1407
% 0.21/0.63  % (12974)Time elapsed: 0.064 s
% 0.21/0.63  % (12974)Instructions burned: 7 (million)
% 0.21/0.63  % (12974)------------------------------
% 0.21/0.63  % (12974)------------------------------
% 0.91/0.65  % (12956)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 (2998ds/4Mi)
% 0.91/0.66  % (12956)Instruction limit reached!
% 0.91/0.66  % (12956)------------------------------
% 0.91/0.66  % (12956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.91/0.66  % (12956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.91/0.66  % (12956)Termination reason: Unknown
% 0.91/0.66  % (12956)Termination phase: Saturation
% 0.91/0.66  
% 0.91/0.66  % (12956)Memory used [KB]: 5884
% 0.91/0.66  % (12956)Time elapsed: 0.109 s
% 0.91/0.66  % (12956)Instructions burned: 5 (million)
% 0.91/0.66  % (12956)------------------------------
% 0.91/0.66  % (12956)------------------------------
% 1.33/0.66  % (12982)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/20Mi)
% 1.33/0.66  % (12982)Refutation not found, incomplete strategy% (12982)------------------------------
% 1.33/0.66  % (12982)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.66  % (12982)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.66  % (12982)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.66  
% 1.33/0.66  % (12982)Memory used [KB]: 5884
% 1.33/0.66  % (12982)Time elapsed: 0.111 s
% 1.33/0.66  % (12982)Instructions burned: 5 (million)
% 1.33/0.66  % (12982)------------------------------
% 1.33/0.66  % (12982)------------------------------
% 1.33/0.66  % (12963)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 (2998ds/51Mi)
% 1.33/0.67  % (12981)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 (2998ds/73Mi)
% 1.33/0.68  % (12966)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 (2998ds/5Mi)
% 1.33/0.68  % (12954)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/99966Mi)
% 1.33/0.68  % (12966)Instruction limit reached!
% 1.33/0.68  % (12966)------------------------------
% 1.33/0.68  % (12966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.68  % (12966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.68  % (12966)Termination reason: Unknown
% 1.33/0.68  % (12966)Termination phase: Saturation
% 1.33/0.68  
% 1.33/0.68  % (12966)Memory used [KB]: 5884
% 1.33/0.68  % (12966)Time elapsed: 0.119 s
% 1.33/0.68  % (12966)Instructions burned: 5 (million)
% 1.33/0.68  % (12966)------------------------------
% 1.33/0.68  % (12966)------------------------------
% 1.33/0.68  % (12977)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 (2998ds/37Mi)
% 1.33/0.68  % (12977)Refutation not found, incomplete strategy% (12977)------------------------------
% 1.33/0.68  % (12977)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.68  % (12977)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.68  % (12977)Termination reason: Refutation not found, incomplete strategy
% 1.33/0.68  
% 1.33/0.68  % (12977)Memory used [KB]: 5884
% 1.33/0.68  % (12977)Time elapsed: 0.132 s
% 1.33/0.68  % (12977)Instructions burned: 3 (million)
% 1.33/0.68  % (12977)------------------------------
% 1.33/0.68  % (12977)------------------------------
% 1.33/0.69  % (12968)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 (2998ds/29Mi)
% 1.33/0.69  % (12959)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/25Mi)
% 1.33/0.69  % (12979)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 (2998ds/81Mi)
% 1.33/0.69  % (12969)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/6Mi)
% 1.52/0.69  % (12957)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 (2998ds/43Mi)
% 1.52/0.69  TRYING [1]
% 1.52/0.69  % (12969)Instruction limit reached!
% 1.52/0.69  % (12969)------------------------------
% 1.52/0.69  % (12969)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.69  % (12969)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.69  % (12969)Termination reason: Unknown
% 1.52/0.69  % (12969)Termination phase: Finite model building constraint generation
% 1.52/0.69  
% 1.52/0.69  % (12969)Memory used [KB]: 6012
% 1.52/0.69  % (12969)Time elapsed: 0.131 s
% 1.52/0.69  % (12969)Instructions burned: 8 (million)
% 1.52/0.69  % (12969)------------------------------
% 1.52/0.69  % (12969)------------------------------
% 1.52/0.69  % (12976)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 (2998ds/97Mi)
% 1.52/0.69  % (12967)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 (2998ds/3Mi)
% 1.52/0.69  % (12957)Refutation not found, incomplete strategy% (12957)------------------------------
% 1.52/0.69  % (12957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.69  % (12957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.69  % (12957)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.69  
% 1.52/0.69  % (12957)Memory used [KB]: 5884
% 1.52/0.69  % (12957)Time elapsed: 0.128 s
% 1.52/0.69  % (12957)Instructions burned: 3 (million)
% 1.52/0.69  % (12957)------------------------------
% 1.52/0.69  % (12957)------------------------------
% 1.52/0.69  % (12981)Refutation not found, incomplete strategy% (12981)------------------------------
% 1.52/0.69  % (12981)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.69  % (12981)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.69  % (12981)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.69  
% 1.52/0.69  % (12981)Memory used [KB]: 1535
% 1.52/0.69  % (12981)Time elapsed: 0.137 s
% 1.52/0.69  % (12981)Instructions burned: 21 (million)
% 1.52/0.69  % (12981)------------------------------
% 1.52/0.69  % (12981)------------------------------
% 1.52/0.69  % (12967)Instruction limit reached!
% 1.52/0.69  % (12967)------------------------------
% 1.52/0.69  % (12967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.69  % (12967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.69  % (12967)Termination reason: Unknown
% 1.52/0.69  % (12967)Termination phase: Saturation
% 1.52/0.69  
% 1.52/0.69  % (12967)Memory used [KB]: 5884
% 1.52/0.69  % (12967)Time elapsed: 0.004 s
% 1.52/0.69  % (12967)Instructions burned: 4 (million)
% 1.52/0.69  % (12967)------------------------------
% 1.52/0.69  % (12967)------------------------------
% 1.52/0.69  % (12972)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 (2998ds/28Mi)
% 1.52/0.69  % (12970)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 (2998ds/2Mi)
% 1.52/0.69  % (12971)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/8Mi)
% 1.52/0.69  % (12983)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 (2998ds/100Mi)
% 1.52/0.69  % (12958)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 (2998ds/34Mi)
% 1.52/0.70  % (12955)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 (2998ds/42Mi)
% 1.52/0.70  % (12958)Refutation not found, incomplete strategy% (12958)------------------------------
% 1.52/0.70  % (12958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.70  % (12958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.70  % (12958)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.70  
% 1.52/0.70  % (12958)Memory used [KB]: 5884
% 1.52/0.70  % (12958)Time elapsed: 0.140 s
% 1.52/0.70  % (12958)Instructions burned: 4 (million)
% 1.52/0.70  % (12958)------------------------------
% 1.52/0.70  % (12958)------------------------------
% 1.52/0.70  % (12973)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 (2998ds/7Mi)
% 1.52/0.70  % (12965)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 (2998ds/23Mi)
% 1.52/0.70  % (12975)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 (2998ds/67Mi)
% 1.52/0.70  % (12961)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 (2998ds/51Mi)
% 1.52/0.70  % (12973)Instruction limit reached!
% 1.52/0.70  % (12973)------------------------------
% 1.52/0.70  % (12973)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.70  % (12973)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.70  % (12973)Termination reason: Unknown
% 1.52/0.70  % (12973)Termination phase: Saturation
% 1.52/0.70  
% 1.52/0.70  % (12973)Memory used [KB]: 6012
% 1.52/0.70  % (12973)Time elapsed: 0.119 s
% 1.52/0.70  % (12973)Instructions burned: 7 (million)
% 1.52/0.70  % (12973)------------------------------
% 1.52/0.70  % (12973)------------------------------
% 1.52/0.70  % (12960)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 (2998ds/49Mi)
% 1.52/0.71  % (12962)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 (2998ds/3Mi)
% 1.52/0.71  % (12962)Instruction limit reached!
% 1.52/0.71  % (12962)------------------------------
% 1.52/0.71  % (12962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.71  % (12962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.71  % (12962)Termination reason: Unknown
% 1.52/0.71  % (12962)Termination phase: Saturation
% 1.52/0.71  
% 1.52/0.71  % (12962)Memory used [KB]: 5884
% 1.52/0.71  % (12962)Time elapsed: 0.002 s
% 1.52/0.71  % (12962)Instructions burned: 3 (million)
% 1.52/0.71  % (12962)------------------------------
% 1.52/0.71  % (12962)------------------------------
% 1.52/0.71  % (12978)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 (2998ds/46Mi)
% 1.52/0.71  % (12954)First to succeed.
% 1.52/0.71  % (12980)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 (2998ds/71Mi)
% 1.52/0.71  % (12970)Instruction limit reached!
% 1.52/0.71  % (12970)------------------------------
% 1.52/0.71  % (12970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.71  % (12970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.71  % (12970)Termination reason: Unknown
% 1.52/0.71  % (12970)Termination phase: Saturation
% 1.52/0.71  
% 1.52/0.71  % (12970)Memory used [KB]: 1279
% 1.52/0.71  % (12970)Time elapsed: 0.002 s
% 1.52/0.71  % (12970)Instructions burned: 2 (million)
% 1.52/0.71  % (12970)------------------------------
% 1.52/0.71  % (12970)------------------------------
% 1.52/0.71  % (12959)Also succeeded, but the first one will report.
% 1.52/0.71  % (12954)Refutation found. Thanks to Tanya!
% 1.52/0.71  % SZS status Unsatisfiable for theBenchmark
% 1.52/0.71  % SZS output start Proof for theBenchmark
% See solution above
% 1.52/0.71  % (12954)------------------------------
% 1.52/0.71  % (12954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.71  % (12954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.71  % (12954)Termination reason: Refutation
% 1.52/0.71  
% 1.52/0.71  % (12954)Memory used [KB]: 6268
% 1.52/0.71  % (12954)Time elapsed: 0.149 s
% 1.52/0.71  % (12954)Instructions burned: 23 (million)
% 1.52/0.71  % (12954)------------------------------
% 1.52/0.71  % (12954)------------------------------
% 1.52/0.71  % (12812)Success in time 0.356 s
%------------------------------------------------------------------------------