TSTP Solution File: GRP381-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n021.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 : Thu Aug 31 01:23:35 EDT 2023

% Result   : Unsatisfiable 0.22s 0.48s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   32
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  315 (  18 unt;   0 def)
%            Number of atoms       : 1178 ( 378 equ)
%            Maximal formula atoms :   11 (   3 avg)
%            Number of connectives : 1678 ( 815   ~; 841   |;   0   &)
%                                         (  22 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   24 (  22 usr;  23 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  19 con; 0-2 aty)
%            Number of variables   :  102 (; 102   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1119,plain,
    $false,
    inference(avatar_sat_refutation,[],[f110,f114,f118,f122,f131,f136,f141,f146,f147,f152,f153,f158,f159,f164,f165,f166,f169,f170,f171,f172,f173,f174,f175,f176,f179,f180,f181,f182,f183,f184,f225,f268,f324,f330,f362,f419,f452,f616,f918,f970,f1019,f1107,f1118]) ).

fof(f1118,plain,
    ( ~ spl14_6
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(avatar_contradiction_clause,[],[f1117]) ).

fof(f1117,plain,
    ( $false
    | ~ spl14_6
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(trivial_inequality_removal,[],[f1116]) ).

fof(f1116,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_6
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(duplicate_literal_removal,[],[f1111]) ).

fof(f1111,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != sk_c6
    | ~ spl14_6
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(superposition,[],[f1110,f946]) ).

fof(f946,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f453,f938]) ).

fof(f938,plain,
    ( sk_c7 = sk_c6
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f221,f130]) ).

fof(f130,plain,
    ( sk_c7 = sF6
    | ~ spl14_12 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl14_12
  <=> sk_c7 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).

fof(f221,plain,
    ( sk_c6 = sF6
    | ~ spl14_20 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f220,plain,
    ( spl14_20
  <=> sk_c6 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).

fof(f453,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f41,f105]) ).

fof(f105,plain,
    ( sk_c6 = sF3
    | ~ spl14_6 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl14_6
  <=> sk_c6 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).

fof(f41,plain,
    inverse(sk_c7) = sF3,
    introduced(function_definition,[]) ).

fof(f1110,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != X3 )
    | ~ spl14_6
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f1109,f1054]) ).

fof(f1054,plain,
    ( ! [X3] : multiply(X3,sk_c6) = X3
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f1037,f1038]) ).

fof(f1038,plain,
    ( ! [X4,X5] : multiply(X4,X5) = multiply(inverse(inverse(X4)),X5)
    | ~ spl14_6 ),
    inference(superposition,[],[f713,f713]) ).

fof(f713,plain,
    ( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f707,f712]) ).

fof(f712,plain,
    ( ! [X0] : multiply(sF5,X0) = X0
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f1,f706]) ).

fof(f706,plain,
    ( identity = sF5
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f474,f43]) ).

fof(f43,plain,
    multiply(sk_c6,sk_c7) = sF5,
    introduced(function_definition,[]) ).

fof(f474,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl14_6 ),
    inference(superposition,[],[f2,f453]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',left_inverse) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',left_identity) ).

fof(f707,plain,
    ( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(sF5,X1)
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f479,f706]) ).

fof(f479,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',associativity) ).

fof(f1037,plain,
    ( ! [X3] : multiply(inverse(inverse(X3)),sk_c6) = X3
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(superposition,[],[f713,f954]) ).

fof(f954,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c6
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f711,f952]) ).

fof(f952,plain,
    ( sk_c6 = sF5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f869,f938]) ).

fof(f869,plain,
    ( sk_c7 = sF5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f43,f861]) ).

fof(f861,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(forward_demodulation,[],[f858,f725]) ).

fof(f725,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f724,f712]) ).

fof(f724,plain,
    ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sF5,X0),
    inference(superposition,[],[f3,f43]) ).

fof(f858,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f464,f857]) ).

fof(f857,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,X0)
    | ~ spl14_6
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f856,f712]) ).

fof(f856,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c6,multiply(sF5,X0))
    | ~ spl14_6
    | ~ spl14_12 ),
    inference(superposition,[],[f3,f744]) ).

fof(f744,plain,
    ( sk_c1 = multiply(sk_c6,sF5)
    | ~ spl14_6
    | ~ spl14_12 ),
    inference(superposition,[],[f725,f717]) ).

fof(f717,plain,
    ( sF5 = multiply(sk_c7,sk_c1)
    | ~ spl14_6
    | ~ spl14_12 ),
    inference(forward_demodulation,[],[f477,f706]) ).

fof(f477,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl14_12 ),
    inference(superposition,[],[f2,f459]) ).

fof(f459,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl14_12 ),
    inference(backward_demodulation,[],[f45,f130]) ).

fof(f45,plain,
    inverse(sk_c1) = sF6,
    introduced(function_definition,[]) ).

fof(f464,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl14_18 ),
    inference(superposition,[],[f3,f456]) ).

fof(f456,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f61,f163]) ).

fof(f163,plain,
    ( sk_c6 = sF13
    | ~ spl14_18 ),
    inference(avatar_component_clause,[],[f161]) ).

fof(f161,plain,
    ( spl14_18
  <=> sk_c6 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).

fof(f61,plain,
    multiply(sk_c1,sk_c7) = sF13,
    introduced(function_definition,[]) ).

fof(f711,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sF5
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f2,f706]) ).

fof(f1109,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f1108,f938]) ).

fof(f1108,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl14_10
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f121,f938]) ).

fof(f121,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl14_10 ),
    inference(avatar_component_clause,[],[f120]) ).

fof(f120,plain,
    ( spl14_10
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).

fof(f1107,plain,
    ( ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(avatar_contradiction_clause,[],[f1106]) ).

fof(f1106,plain,
    ( $false
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(trivial_inequality_removal,[],[f1105]) ).

fof(f1105,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(duplicate_literal_removal,[],[f1100]) ).

fof(f1100,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != sk_c6
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(superposition,[],[f1055,f946]) ).

fof(f1055,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != X6 )
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f1020,f1054]) ).

fof(f1020,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_9
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f117,f964]) ).

fof(f964,plain,
    ( sk_c6 = sk_c5
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f870,f938]) ).

fof(f870,plain,
    ( sk_c7 = sk_c5
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f455,f861]) ).

fof(f455,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl14_5 ),
    inference(forward_demodulation,[],[f42,f101]) ).

fof(f101,plain,
    ( sk_c7 = sF4
    | ~ spl14_5 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f100,plain,
    ( spl14_5
  <=> sk_c7 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).

fof(f42,plain,
    multiply(sk_c6,sk_c5) = sF4,
    introduced(function_definition,[]) ).

fof(f117,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
    | ~ spl14_9 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f116,plain,
    ( spl14_9
  <=> ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).

fof(f1019,plain,
    ( ~ spl14_6
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(avatar_contradiction_clause,[],[f1018]) ).

fof(f1018,plain,
    ( $false
    | ~ spl14_6
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(trivial_inequality_removal,[],[f1017]) ).

fof(f1017,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_6
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f1015,f861]) ).

fof(f1015,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl14_6
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(trivial_inequality_removal,[],[f1012]) ).

fof(f1012,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl14_6
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(superposition,[],[f949,f946]) ).

fof(f949,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != multiply(X5,sk_c6) )
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f942,f938]) ).

fof(f942,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl14_7
    | ~ spl14_12
    | ~ spl14_20 ),
    inference(backward_demodulation,[],[f109,f938]) ).

fof(f109,plain,
    ( ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl14_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl14_7
  <=> ! [X5] :
        ( sk_c7 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).

fof(f970,plain,
    ( spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(avatar_contradiction_clause,[],[f969]) ).

fof(f969,plain,
    ( $false
    | spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(trivial_inequality_removal,[],[f968]) ).

fof(f968,plain,
    ( sk_c6 != sk_c6
    | spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f967,f964]) ).

fof(f967,plain,
    ( sk_c6 != sk_c5
    | spl14_4
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | ~ spl14_20 ),
    inference(forward_demodulation,[],[f98,f952]) ).

fof(f98,plain,
    ( sk_c5 != sF5
    | spl14_4 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f96,plain,
    ( spl14_4
  <=> sk_c5 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).

fof(f918,plain,
    ( ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | spl14_20 ),
    inference(avatar_contradiction_clause,[],[f917]) ).

fof(f917,plain,
    ( $false
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18
    | spl14_20 ),
    inference(global_subsumption,[],[f718,f916]) ).

fof(f916,plain,
    ( sk_c7 = sk_c6
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(forward_demodulation,[],[f859,f861]) ).

fof(f859,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl14_6
    | ~ spl14_12
    | ~ spl14_18 ),
    inference(backward_demodulation,[],[f456,f857]) ).

fof(f718,plain,
    ( sk_c7 != sk_c6
    | ~ spl14_12
    | spl14_20 ),
    inference(forward_demodulation,[],[f222,f130]) ).

fof(f222,plain,
    ( sk_c6 != sF6
    | spl14_20 ),
    inference(avatar_component_clause,[],[f220]) ).

fof(f616,plain,
    ( ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | spl14_15 ),
    inference(avatar_contradiction_clause,[],[f615]) ).

fof(f615,plain,
    ( $false
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | spl14_15 ),
    inference(global_subsumption,[],[f597,f509]) ).

fof(f509,plain,
    ( sk_c6 = sk_c5
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f237,f506]) ).

fof(f506,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f499,f492]) ).

fof(f492,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sF10,X0)) = X0
    | ~ spl14_4
    | ~ spl14_6
    | ~ spl14_13 ),
    inference(backward_demodulation,[],[f196,f487]) ).

fof(f487,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sF10,X0)
    | ~ spl14_4
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f467,f485]) ).

fof(f485,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl14_4
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f1,f480]) ).

fof(f480,plain,
    ( identity = sk_c5
    | ~ spl14_4
    | ~ spl14_6 ),
    inference(forward_demodulation,[],[f474,f189]) ).

fof(f189,plain,
    ( multiply(sk_c6,sk_c7) = sk_c5
    | ~ spl14_4 ),
    inference(backward_demodulation,[],[f43,f97]) ).

fof(f97,plain,
    ( sk_c5 = sF5
    | ~ spl14_4 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f467,plain,
    ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sF10,X0),
    inference(superposition,[],[f3,f52]) ).

fof(f52,plain,
    multiply(sk_c4,sk_c5) = sF10,
    introduced(function_definition,[]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl14_13 ),
    inference(forward_demodulation,[],[f195,f1]) ).

fof(f195,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl14_13 ),
    inference(superposition,[],[f3,f190]) ).

fof(f190,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl14_13 ),
    inference(superposition,[],[f2,f187]) ).

fof(f187,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl14_13 ),
    inference(backward_demodulation,[],[f48,f135]) ).

fof(f135,plain,
    ( sk_c6 = sF8
    | ~ spl14_13 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl14_13
  <=> sk_c6 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).

fof(f48,plain,
    inverse(sk_c4) = sF8,
    introduced(function_definition,[]) ).

fof(f499,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c6,multiply(sF10,X0))
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f491,f488]) ).

fof(f488,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f463,f485]) ).

fof(f463,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl14_5 ),
    inference(superposition,[],[f3,f455]) ).

fof(f491,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sF10,X0))
    | ~ spl14_4
    | ~ spl14_6
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f230,f487]) ).

fof(f230,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c7,multiply(sk_c4,X0))
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(superposition,[],[f193,f196]) ).

fof(f193,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl14_14 ),
    inference(superposition,[],[f3,f186]) ).

fof(f186,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f50,f140]) ).

fof(f140,plain,
    ( sk_c7 = sF9
    | ~ spl14_14 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f138,plain,
    ( spl14_14
  <=> sk_c7 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).

fof(f50,plain,
    multiply(sk_c3,sk_c6) = sF9,
    introduced(function_definition,[]) ).

fof(f237,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f231,f203]) ).

fof(f203,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(superposition,[],[f198,f186]) ).

fof(f198,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl14_11 ),
    inference(forward_demodulation,[],[f197,f1]) ).

fof(f197,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl14_11 ),
    inference(superposition,[],[f3,f191]) ).

fof(f191,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl14_11 ),
    inference(superposition,[],[f2,f188]) ).

fof(f188,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl14_11 ),
    inference(backward_demodulation,[],[f46,f126]) ).

fof(f126,plain,
    ( sk_c7 = sF7
    | ~ spl14_11 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f124,plain,
    ( spl14_11
  <=> sk_c7 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).

fof(f46,plain,
    inverse(sk_c3) = sF7,
    introduced(function_definition,[]) ).

fof(f231,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl14_4
    | ~ spl14_14 ),
    inference(superposition,[],[f193,f189]) ).

fof(f597,plain,
    ( sk_c6 != sk_c5
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | spl14_15 ),
    inference(backward_demodulation,[],[f144,f595]) ).

fof(f595,plain,
    ( sk_c5 = sF10
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f493,f594]) ).

fof(f594,plain,
    ( ! [X0] : multiply(sF10,X0) = X0
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f593,f485]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sF10,X0)
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f487,f561]) ).

fof(f561,plain,
    ( sk_c5 = sk_c4
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f560,f480]) ).

fof(f560,plain,
    ( identity = sk_c4
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f476,f507]) ).

fof(f507,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14 ),
    inference(backward_demodulation,[],[f498,f506]) ).

fof(f498,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | ~ spl14_11 ),
    inference(backward_demodulation,[],[f198,f488]) ).

fof(f476,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl14_13 ),
    inference(superposition,[],[f2,f187]) ).

fof(f493,plain,
    ( sF10 = multiply(sF10,sk_c5)
    | ~ spl14_4
    | ~ spl14_6 ),
    inference(backward_demodulation,[],[f52,f487]) ).

fof(f144,plain,
    ( sk_c6 != sF10
    | spl14_15 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f143,plain,
    ( spl14_15
  <=> sk_c6 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).

fof(f452,plain,
    ( ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f451]) ).

fof(f451,plain,
    ( $false
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(trivial_inequality_removal,[],[f450]) ).

fof(f450,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(duplicate_literal_removal,[],[f445]) ).

fof(f445,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != sk_c6
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f422,f326]) ).

fof(f326,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f288,f318]) ).

fof(f318,plain,
    ( sk_c6 = sF3
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f314,f288]) ).

fof(f314,plain,
    ( sk_c6 = inverse(sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f294,f312]) ).

fof(f312,plain,
    ( identity = sk_c6
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f303,f311]) ).

fof(f311,plain,
    ( ! [X0] : multiply(sF3,X0) = X0
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f310,f1]) ).

fof(f310,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF3,X0)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f309,f280]) ).

fof(f280,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f272,f279]) ).

fof(f279,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f273,f196]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = multiply(sk_c3,X0)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f230,f266]) ).

fof(f266,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c7,X0)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f265,f193]) ).

fof(f265,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f242,f243]) ).

fof(f243,plain,
    ( sk_c6 = sk_c5
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f241,f238]) ).

fof(f238,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f232,f237]) ).

fof(f232,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f193,f199]) ).

fof(f199,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl14_13
    | ~ spl14_15 ),
    inference(superposition,[],[f196,f185]) ).

fof(f185,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f52,f145]) ).

fof(f145,plain,
    ( sk_c6 = sF10
    | ~ spl14_15 ),
    inference(avatar_component_clause,[],[f143]) ).

fof(f241,plain,
    ( sk_c5 = multiply(sk_c7,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(superposition,[],[f198,f237]) ).

fof(f242,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c3,multiply(sk_c5,X0))
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(superposition,[],[f3,f237]) ).

fof(f272,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c3,X0)) = X0
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f198,f266]) ).

fof(f309,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF3,multiply(sk_c6,X0))
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f3,f303]) ).

fof(f303,plain,
    ( identity = multiply(sF3,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f2,f288]) ).

fof(f294,plain,
    ( sk_c6 = inverse(identity)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f187,f287]) ).

fof(f287,plain,
    ( identity = sk_c4
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f190,f280]) ).

fof(f288,plain,
    ( sF3 = inverse(sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f41,f286]) ).

fof(f286,plain,
    ( sk_c7 = sk_c6
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f247,f280]) ).

fof(f247,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f189,f243]) ).

fof(f422,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != X3 )
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f421,f389]) ).

fof(f389,plain,
    ( ! [X3] : multiply(X3,sk_c6) = X3
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f373,f374]) ).

fof(f374,plain,
    ( ! [X4,X5] : multiply(X4,X5) = multiply(inverse(inverse(X4)),X5)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f338,f338]) ).

fof(f338,plain,
    ( ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f337,f280]) ).

fof(f337,plain,
    ( ! [X0,X1] : multiply(sk_c6,X1) = multiply(inverse(X0),multiply(X0,X1))
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f3,f316]) ).

fof(f316,plain,
    ( ! [X0] : multiply(inverse(X0),X0) = sk_c6
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f2,f312]) ).

fof(f373,plain,
    ( ! [X3] : multiply(inverse(inverse(X3)),sk_c6) = X3
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f338,f316]) ).

fof(f421,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c6)
        | sk_c6 != inverse(X3) )
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f420,f286]) ).

fof(f420,plain,
    ( ! [X3] :
        ( sk_c6 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
    | ~ spl14_4
    | ~ spl14_10
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f121,f286]) ).

fof(f419,plain,
    ( ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f418]) ).

fof(f418,plain,
    ( $false
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(trivial_inequality_removal,[],[f417]) ).

fof(f417,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(duplicate_literal_removal,[],[f414]) ).

fof(f414,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != sk_c6
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f390,f326]) ).

fof(f390,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c6 != X5 )
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f364,f389]) ).

fof(f364,plain,
    ( ! [X5] :
        ( sk_c6 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f363,f286]) ).

fof(f363,plain,
    ( ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c7 != multiply(X5,sk_c6) )
    | ~ spl14_4
    | ~ spl14_7
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f109,f286]) ).

fof(f362,plain,
    ( ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f361]) ).

fof(f361,plain,
    ( $false
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(trivial_inequality_removal,[],[f360]) ).

fof(f360,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f358,f280]) ).

fof(f358,plain,
    ( sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(trivial_inequality_removal,[],[f355]) ).

fof(f355,plain,
    ( sk_c6 != sk_c6
    | sk_c6 != multiply(sk_c6,sk_c6)
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(superposition,[],[f331,f326]) ).

fof(f331,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c6) )
    | ~ spl14_4
    | ~ spl14_9
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f117,f243]) ).

fof(f330,plain,
    ( ~ spl14_4
    | spl14_5
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f329]) ).

fof(f329,plain,
    ( $false
    | ~ spl14_4
    | spl14_5
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(trivial_inequality_removal,[],[f328]) ).

fof(f328,plain,
    ( sk_c6 != sk_c6
    | ~ spl14_4
    | spl14_5
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f327,f286]) ).

fof(f327,plain,
    ( sk_c7 != sk_c6
    | ~ spl14_4
    | spl14_5
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f102,f255]) ).

fof(f255,plain,
    ( sk_c6 = sF4
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f250,f244]) ).

fof(f244,plain,
    ( sF4 = multiply(sk_c6,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f42,f243]) ).

fof(f250,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f199,f243]) ).

fof(f102,plain,
    ( sk_c7 != sF4
    | spl14_5 ),
    inference(avatar_component_clause,[],[f100]) ).

fof(f324,plain,
    ( ~ spl14_4
    | spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f323]) ).

fof(f323,plain,
    ( $false
    | ~ spl14_4
    | spl14_6
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(global_subsumption,[],[f106,f318]) ).

fof(f106,plain,
    ( sk_c6 != sF3
    | spl14_6 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f268,plain,
    ( ~ spl14_4
    | ~ spl14_8
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(avatar_contradiction_clause,[],[f267]) ).

fof(f267,plain,
    ( $false
    | ~ spl14_4
    | ~ spl14_8
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(global_subsumption,[],[f214,f262]) ).

fof(f262,plain,
    ( sk_c7 = sk_c6
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(forward_demodulation,[],[f253,f186]) ).

fof(f253,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl14_4
    | ~ spl14_11
    | ~ spl14_13
    | ~ spl14_14
    | ~ spl14_15 ),
    inference(backward_demodulation,[],[f237,f243]) ).

fof(f214,plain,
    ( sk_c7 != sk_c6
    | ~ spl14_8
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(trivial_inequality_removal,[],[f213]) ).

fof(f213,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != sk_c6
    | ~ spl14_8
    | ~ spl14_11
    | ~ spl14_14 ),
    inference(forward_demodulation,[],[f208,f186]) ).

fof(f208,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != multiply(sk_c3,sk_c6)
    | ~ spl14_8
    | ~ spl14_11 ),
    inference(superposition,[],[f113,f188]) ).

fof(f113,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
    | ~ spl14_8 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl14_8
  <=> ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).

fof(f225,plain,
    ( ~ spl14_16
    | ~ spl14_17
    | ~ spl14_8 ),
    inference(avatar_split_clause,[],[f224,f112,f155,f149]) ).

fof(f149,plain,
    ( spl14_16
  <=> sk_c6 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).

fof(f155,plain,
    ( spl14_17
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).

fof(f224,plain,
    ( sk_c7 != sF12
    | sk_c6 != sF11
    | ~ spl14_8 ),
    inference(forward_demodulation,[],[f211,f58]) ).

fof(f58,plain,
    multiply(sk_c2,sk_c6) = sF12,
    introduced(function_definition,[]) ).

fof(f211,plain,
    ( sk_c6 != sF11
    | sk_c7 != multiply(sk_c2,sk_c6)
    | ~ spl14_8 ),
    inference(superposition,[],[f113,f55]) ).

fof(f55,plain,
    inverse(sk_c2) = sF11,
    introduced(function_definition,[]) ).

fof(f184,plain,
    ( spl14_4
    | spl14_18 ),
    inference(avatar_split_clause,[],[f82,f161,f96]) ).

fof(f82,plain,
    ( sk_c6 = sF13
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f14,f43,f61]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_11) ).

fof(f183,plain,
    ( spl14_15
    | spl14_18 ),
    inference(avatar_split_clause,[],[f81,f161,f143]) ).

fof(f81,plain,
    ( sk_c6 = sF13
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f18,f52,f61]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_15) ).

fof(f182,plain,
    ( spl14_4
    | spl14_5 ),
    inference(avatar_split_clause,[],[f80,f100,f96]) ).

fof(f80,plain,
    ( sk_c7 = sF4
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f9,f43,f42]) ).

fof(f9,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_6) ).

fof(f181,plain,
    ( spl14_15
    | spl14_5 ),
    inference(avatar_split_clause,[],[f79,f100,f143]) ).

fof(f79,plain,
    ( sk_c7 = sF4
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f13,f52,f42]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_10) ).

fof(f180,plain,
    ( spl14_18
    | spl14_14 ),
    inference(avatar_split_clause,[],[f78,f138,f161]) ).

fof(f78,plain,
    ( sk_c7 = sF9
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f16,f61,f50]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_13) ).

fof(f179,plain,
    ( spl14_5
    | spl14_14 ),
    inference(avatar_split_clause,[],[f77,f138,f100]) ).

fof(f77,plain,
    ( sk_c7 = sF9
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f11,f42,f50]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_8) ).

fof(f176,plain,
    ( spl14_14
    | spl14_17 ),
    inference(avatar_split_clause,[],[f74,f155,f138]) ).

fof(f74,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f26,f50,f58]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c2,sk_c6)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_23) ).

fof(f175,plain,
    ( spl14_4
    | spl14_6 ),
    inference(avatar_split_clause,[],[f73,f104,f96]) ).

fof(f73,plain,
    ( sk_c6 = sF3
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f4,f43,f41]) ).

fof(f4,axiom,
    ( inverse(sk_c7) = sk_c6
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_1) ).

fof(f174,plain,
    ( spl14_15
    | spl14_6 ),
    inference(avatar_split_clause,[],[f72,f104,f143]) ).

fof(f72,plain,
    ( sk_c6 = sF3
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f8,f52,f41]) ).

fof(f8,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_5) ).

fof(f173,plain,
    ( spl14_14
    | spl14_6 ),
    inference(avatar_split_clause,[],[f71,f104,f138]) ).

fof(f71,plain,
    ( sk_c6 = sF3
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f6,f50,f41]) ).

fof(f6,axiom,
    ( inverse(sk_c7) = sk_c6
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_3) ).

fof(f172,plain,
    ( spl14_18
    | spl14_13 ),
    inference(avatar_split_clause,[],[f70,f133,f161]) ).

fof(f70,plain,
    ( sk_c6 = sF8
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f17,f61,f48]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_14) ).

fof(f171,plain,
    ( spl14_5
    | spl14_13 ),
    inference(avatar_split_clause,[],[f69,f133,f100]) ).

fof(f69,plain,
    ( sk_c6 = sF8
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f12,f42,f48]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_9) ).

fof(f170,plain,
    ( spl14_17
    | spl14_13 ),
    inference(avatar_split_clause,[],[f68,f133,f155]) ).

fof(f68,plain,
    ( sk_c6 = sF8
    | sk_c7 = sF12 ),
    inference(definition_folding,[],[f27,f58,f48]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_24) ).

fof(f169,plain,
    ( spl14_6
    | spl14_13 ),
    inference(avatar_split_clause,[],[f67,f133,f104]) ).

fof(f67,plain,
    ( sk_c6 = sF8
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f7,f41,f48]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_4) ).

fof(f166,plain,
    ( spl14_14
    | spl14_16 ),
    inference(avatar_split_clause,[],[f64,f149,f138]) ).

fof(f64,plain,
    ( sk_c6 = sF11
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f31,f50,f55]) ).

fof(f31,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_28) ).

fof(f165,plain,
    ( spl14_13
    | spl14_16 ),
    inference(avatar_split_clause,[],[f63,f149,f133]) ).

fof(f63,plain,
    ( sk_c6 = sF11
    | sk_c6 = sF8 ),
    inference(definition_folding,[],[f32,f48,f55]) ).

fof(f32,axiom,
    ( sk_c6 = inverse(sk_c2)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_29) ).

fof(f164,plain,
    ( spl14_18
    | spl14_11 ),
    inference(avatar_split_clause,[],[f62,f124,f161]) ).

fof(f62,plain,
    ( sk_c7 = sF7
    | sk_c6 = sF13 ),
    inference(definition_folding,[],[f15,f61,f46]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_12) ).

fof(f159,plain,
    ( spl14_5
    | spl14_11 ),
    inference(avatar_split_clause,[],[f60,f124,f100]) ).

fof(f60,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF4 ),
    inference(definition_folding,[],[f10,f42,f46]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_7) ).

fof(f158,plain,
    ( spl14_17
    | spl14_11 ),
    inference(avatar_split_clause,[],[f59,f124,f155]) ).

fof(f59,plain,
    ( sk_c7 = sF7
    | sk_c7 = sF12 ),
    inference(definition_folding,[],[f25,f58,f46]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_22) ).

fof(f153,plain,
    ( spl14_6
    | spl14_11 ),
    inference(avatar_split_clause,[],[f57,f124,f104]) ).

fof(f57,plain,
    ( sk_c7 = sF7
    | sk_c6 = sF3 ),
    inference(definition_folding,[],[f5,f41,f46]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_2) ).

fof(f152,plain,
    ( spl14_16
    | spl14_11 ),
    inference(avatar_split_clause,[],[f56,f124,f149]) ).

fof(f56,plain,
    ( sk_c7 = sF7
    | sk_c6 = sF11 ),
    inference(definition_folding,[],[f30,f55,f46]) ).

fof(f30,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_27) ).

fof(f147,plain,
    ( spl14_4
    | spl14_12 ),
    inference(avatar_split_clause,[],[f54,f128,f96]) ).

fof(f54,plain,
    ( sk_c7 = sF6
    | sk_c5 = sF5 ),
    inference(definition_folding,[],[f19,f43,f45]) ).

fof(f19,axiom,
    ( sk_c7 = inverse(sk_c1)
    | multiply(sk_c6,sk_c7) = sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_16) ).

fof(f146,plain,
    ( spl14_15
    | spl14_12 ),
    inference(avatar_split_clause,[],[f53,f128,f143]) ).

fof(f53,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF10 ),
    inference(definition_folding,[],[f23,f52,f45]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = multiply(sk_c4,sk_c5) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_20) ).

fof(f141,plain,
    ( spl14_14
    | spl14_12 ),
    inference(avatar_split_clause,[],[f51,f128,f138]) ).

fof(f51,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF9 ),
    inference(definition_folding,[],[f21,f50,f45]) ).

fof(f21,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = multiply(sk_c3,sk_c6) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_18) ).

fof(f136,plain,
    ( spl14_13
    | spl14_12 ),
    inference(avatar_split_clause,[],[f49,f128,f133]) ).

fof(f49,plain,
    ( sk_c7 = sF6
    | sk_c6 = sF8 ),
    inference(definition_folding,[],[f22,f48,f45]) ).

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c6 = inverse(sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_19) ).

fof(f131,plain,
    ( spl14_11
    | spl14_12 ),
    inference(avatar_split_clause,[],[f47,f128,f124]) ).

fof(f47,plain,
    ( sk_c7 = sF6
    | sk_c7 = sF7 ),
    inference(definition_folding,[],[f20,f46,f45]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c1)
    | sk_c7 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_17) ).

fof(f122,plain,
    ( spl14_3
    | spl14_10 ),
    inference(avatar_split_clause,[],[f35,f120,f92]) ).

fof(f92,plain,
    ( spl14_3
  <=> sP0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).

fof(f35,plain,
    ! [X3] :
      ( sk_c7 != inverse(X3)
      | sk_c6 != multiply(X3,sk_c7)
      | sP0 ),
    inference(cnf_transformation,[],[f35_D]) ).

fof(f35_D,plain,
    ( ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) )
  <=> ~ sP0 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f118,plain,
    ( spl14_2
    | spl14_9 ),
    inference(avatar_split_clause,[],[f37,f116,f88]) ).

fof(f88,plain,
    ( spl14_2
  <=> sP1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).

fof(f37,plain,
    ! [X6] :
      ( sk_c6 != inverse(X6)
      | sk_c6 != multiply(X6,sk_c5)
      | sP1 ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ( ! [X6] :
        ( sk_c6 != inverse(X6)
        | sk_c6 != multiply(X6,sk_c5) )
  <=> ~ sP1 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f114,plain,
    ( spl14_1
    | spl14_8 ),
    inference(avatar_split_clause,[],[f39,f112,f84]) ).

fof(f84,plain,
    ( spl14_1
  <=> sP2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).

fof(f39,plain,
    ! [X4] :
      ( sk_c6 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c6)
      | sP2 ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c6) )
  <=> ~ sP2 ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f110,plain,
    ( ~ spl14_1
    | ~ spl14_2
    | ~ spl14_3
    | ~ spl14_4
    | ~ spl14_5
    | ~ spl14_6
    | spl14_7 ),
    inference(avatar_split_clause,[],[f44,f108,f104,f100,f96,f92,f88,f84]) ).

fof(f44,plain,
    ! [X5] :
      ( sk_c7 != inverse(X5)
      | sk_c6 != sF3
      | sk_c7 != sF4
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c5 != sF5
      | ~ sP0
      | ~ sP1
      | ~ sP2 ),
    inference(definition_folding,[],[f40,f43,f42,f41]) ).

fof(f40,plain,
    ! [X5] :
      ( sk_c7 != inverse(X5)
      | inverse(sk_c7) != sk_c6
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c7) != sk_c5
      | ~ sP0
      | ~ sP1
      | ~ sP2 ),
    inference(general_splitting,[],[f38,f39_D]) ).

fof(f38,plain,
    ! [X4,X5] :
      ( sk_c7 != inverse(X5)
      | sk_c6 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | multiply(sk_c6,sk_c7) != sk_c5
      | ~ sP0
      | ~ sP1 ),
    inference(general_splitting,[],[f36,f37_D]) ).

fof(f36,plain,
    ! [X6,X4,X5] :
      ( sk_c7 != inverse(X5)
      | sk_c6 != inverse(X6)
      | sk_c6 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(X6,sk_c5)
      | multiply(sk_c6,sk_c7) != sk_c5
      | ~ sP0 ),
    inference(general_splitting,[],[f34,f35_D]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c7 != inverse(X3)
      | sk_c7 != inverse(X5)
      | sk_c6 != inverse(X6)
      | sk_c6 != inverse(X4)
      | inverse(sk_c7) != sk_c6
      | sk_c7 != multiply(sk_c6,sk_c5)
      | sk_c7 != multiply(X4,sk_c6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != multiply(X3,sk_c7)
      | multiply(sk_c6,sk_c7) != sk_c5 ),
    file('/export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479',prove_this_31) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : GRP381-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36  % Computer : n021.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Mon Aug 28 21:14:13 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.16/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479
% 0.16/0.37  % (22586)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (22588)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.22/0.43  % (22592)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.22/0.43  % (22590)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.22/0.43  % (22591)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.22/0.43  % (22587)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.22/0.43  % (22589)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.22/0.43  % (22593)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.22/0.47  % (22590)First to succeed.
% 0.22/0.48  % (22590)Refutation found. Thanks to Tanya!
% 0.22/0.48  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.48  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.48  % (22590)------------------------------
% 0.22/0.48  % (22590)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48  % (22590)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48  % (22590)Termination reason: Refutation
% 0.22/0.48  
% 0.22/0.48  % (22590)Memory used [KB]: 10874
% 0.22/0.48  % (22590)Time elapsed: 0.050 s
% 0.22/0.48  % (22590)------------------------------
% 0.22/0.48  % (22590)------------------------------
% 0.22/0.48  % (22586)Success in time 0.113 s
% 0.22/0.48  22589 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479
% 0.22/0.48  % (22589)------------------------------
% 0.22/0.48  % (22589)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48  22588 Aborted by signal SIGHUP on /export/starexec/sandbox/tmp/tmp.WpDT6j0eT8/Vampire---4.8_22479
% 0.22/0.48  % (22588)------------------------------
% 0.22/0.48  % (22588)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.48  % (22588)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48  % (22589)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.48  % (22588)Termination reason: Unknown
% 0.22/0.48  % (22589)Termination reason: Unknown
% 0.22/0.48  % (22589)Termination phase: Saturation
% 0.22/0.48  % (22588)Termination phase: Saturation
% 0.22/0.48  
% 0.22/0.48  
% 0.22/0.48  % (22589)Memory used [KB]: 1023
% 0.22/0.48  % (22588)Memory used [KB]: 895
% 0.22/0.48  % (22589)Time elapsed: 0.055 s
% 0.22/0.48  % (22588)Time elapsed: 0.056 s
% 0.22/0.48  % (22589)------------------------------
% 0.22/0.48  % (22589)------------------------------
% 0.22/0.48  % (22588)------------------------------
% 0.22/0.48  % (22588)------------------------------
% 0.22/0.48  % Vampire---4.8 exiting
%------------------------------------------------------------------------------