TSTP Solution File: GRP360-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP360-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n027.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 : Mon May 20 21:08:15 EDT 2024

% Result   : Unsatisfiable 0.91s 0.97s
% Output   : Refutation 0.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  361 (  41 unt;   0 def)
%            Number of atoms       : 1400 ( 298 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1976 ( 937   ~;1023   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   27 (  25 usr;  17 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  18 con; 0-2 aty)
%            Number of variables   :   82 (  82   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f907,plain,
    $false,
    inference(avatar_sat_refutation,[],[f86,f91,f96,f101,f106,f111,f112,f113,f115,f120,f121,f122,f123,f124,f129,f130,f131,f132,f133,f138,f139,f140,f141,f142,f164,f357,f393,f396,f407,f410,f418,f578,f655,f665,f701,f705,f707,f717,f723,f726,f852,f906]) ).

fof(f906,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | spl19_7 ),
    inference(avatar_contradiction_clause,[],[f905]) ).

fof(f905,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | spl19_7 ),
    inference(subsumption_resolution,[],[f904,f794]) ).

fof(f794,plain,
    ( sk_c5 = sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f791,f782]) ).

fof(f782,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f727,f769]) ).

fof(f769,plain,
    ( sk_c6 = sk_c7
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f767,f748]) ).

fof(f748,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl19_2 ),
    inference(superposition,[],[f185,f727]) ).

fof(f185,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f176,f1]) ).

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

fof(f176,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

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

fof(f767,plain,
    ( sk_c6 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(superposition,[],[f185,f734]) ).

fof(f734,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f453,f100]) ).

fof(f100,plain,
    ( sk_c6 = sF13
    | ~ spl19_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f98,plain,
    ( spl19_5
  <=> sk_c6 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_5])]) ).

fof(f453,plain,
    ( sk_c5 = multiply(sF13,sk_c6)
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f239,f48]) ).

fof(f48,plain,
    inverse(sk_c4) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f239,plain,
    ( sk_c5 = multiply(inverse(sk_c4),sk_c6)
    | ~ spl19_6 ),
    inference(superposition,[],[f185,f165]) ).

fof(f165,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f50,f105]) ).

fof(f105,plain,
    ( sk_c6 = sF14
    | ~ spl19_6 ),
    inference(avatar_component_clause,[],[f103]) ).

fof(f103,plain,
    ( spl19_6
  <=> sk_c6 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_6])]) ).

fof(f50,plain,
    multiply(sk_c4,sk_c5) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f727,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl19_2 ),
    inference(forward_demodulation,[],[f41,f85]) ).

fof(f85,plain,
    ( sk_c5 = sF9
    | ~ spl19_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f83,plain,
    ( spl19_2
  <=> sk_c5 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_2])]) ).

fof(f41,plain,
    multiply(sk_c6,sk_c7) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f791,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f752,f769]) ).

fof(f752,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl19_3
    | ~ spl19_4 ),
    inference(forward_demodulation,[],[f750,f738]) ).

fof(f738,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl19_3 ),
    inference(backward_demodulation,[],[f44,f90]) ).

fof(f90,plain,
    ( sk_c7 = sF11
    | ~ spl19_3 ),
    inference(avatar_component_clause,[],[f88]) ).

fof(f88,plain,
    ( spl19_3
  <=> sk_c7 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_3])]) ).

fof(f44,plain,
    inverse(sk_c3) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f750,plain,
    ( sk_c6 = multiply(inverse(sk_c3),sk_c7)
    | ~ spl19_4 ),
    inference(superposition,[],[f185,f737]) ).

fof(f737,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl19_4 ),
    inference(backward_demodulation,[],[f46,f95]) ).

fof(f95,plain,
    ( sk_c7 = sF12
    | ~ spl19_4 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f93,plain,
    ( spl19_4
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_4])]) ).

fof(f46,plain,
    multiply(sk_c3,sk_c6) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f904,plain,
    ( sk_c5 != sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | spl19_7 ),
    inference(forward_demodulation,[],[f109,f868]) ).

fof(f868,plain,
    ( sk_c7 = sF15
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f855,f857]) ).

fof(f857,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f245,f854]) ).

fof(f854,plain,
    ( identity = sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f853,f2]) ).

fof(f853,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f788,f794]) ).

fof(f788,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f748,f769]) ).

fof(f245,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(backward_demodulation,[],[f226,f227]) ).

fof(f227,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(superposition,[],[f185,f185]) ).

fof(f226,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f185,f2]) ).

fof(f855,plain,
    ( sk_c7 = multiply(sF15,sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f170,f854]) ).

fof(f170,plain,
    identity = multiply(sF15,sk_c7),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    inverse(sk_c7) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f109,plain,
    ( sk_c5 != sF15
    | spl19_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f108,plain,
    ( spl19_7
  <=> sk_c5 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_7])]) ).

fof(f852,plain,
    ( ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7
    | ~ spl19_16 ),
    inference(avatar_contradiction_clause,[],[f851]) ).

fof(f851,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7
    | ~ spl19_16 ),
    inference(subsumption_resolution,[],[f850,f773]) ).

fof(f773,plain,
    ( ~ sP1(sk_c7)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f31,f769]) ).

fof(f31,plain,
    ~ sP1(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f850,plain,
    ( sP1(sk_c7)
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7
    | ~ spl19_16 ),
    inference(forward_demodulation,[],[f849,f800]) ).

fof(f800,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(backward_demodulation,[],[f581,f794]) ).

fof(f581,plain,
    ( sk_c7 = inverse(sk_c5)
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f429,f110]) ).

fof(f110,plain,
    ( sk_c5 = sF15
    | ~ spl19_7 ),
    inference(avatar_component_clause,[],[f108]) ).

fof(f429,plain,
    sk_c7 = inverse(sF15),
    inference(backward_demodulation,[],[f242,f245]) ).

fof(f242,plain,
    sk_c7 = multiply(inverse(sF15),identity),
    inference(superposition,[],[f185,f170]) ).

fof(f849,plain,
    ( sP1(inverse(sk_c7))
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7
    | ~ spl19_16 ),
    inference(resolution,[],[f830,f772]) ).

fof(f772,plain,
    ( ~ sP0(sk_c7)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f30,f769]) ).

fof(f30,plain,
    ~ sP0(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f830,plain,
    ( ! [X6] :
        ( sP0(X6)
        | sP1(inverse(X6)) )
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7
    | ~ spl19_16 ),
    inference(backward_demodulation,[],[f799,f828]) ).

fof(f828,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(backward_demodulation,[],[f245,f826]) ).

fof(f826,plain,
    ( identity = sk_c7
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f825,f811]) ).

fof(f811,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f805,f802]) ).

fof(f802,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c7,X0)) = X0
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(backward_demodulation,[],[f587,f794]) ).

fof(f587,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c7,X0)) = X0
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f215,f110]) ).

fof(f215,plain,
    ! [X0] : multiply(sF15,multiply(sk_c7,X0)) = X0,
    inference(forward_demodulation,[],[f214,f1]) ).

fof(f214,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF15,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f170]) ).

fof(f805,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c7,X0))
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f779,f794]) ).

fof(f779,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c5,X0))
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f449,f769]) ).

fof(f449,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl19_1 ),
    inference(forward_demodulation,[],[f178,f81]) ).

fof(f81,plain,
    ( sk_c7 = sF10
    | ~ spl19_1 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f79,plain,
    ( spl19_1
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_1])]) ).

fof(f178,plain,
    ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(sF10,X0),
    inference(superposition,[],[f3,f42]) ).

fof(f42,plain,
    multiply(sk_c6,sk_c5) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f825,plain,
    ( identity = multiply(sk_c7,sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f170,f798]) ).

fof(f798,plain,
    ( sk_c7 = sF15
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_7 ),
    inference(backward_demodulation,[],[f110,f794]) ).

fof(f799,plain,
    ( ! [X6] :
        ( sP0(multiply(X6,sk_c7))
        | sP1(inverse(X6)) )
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_16 ),
    inference(backward_demodulation,[],[f163,f794]) ).

fof(f163,plain,
    ( ! [X6] :
        ( sP0(multiply(X6,sk_c5))
        | sP1(inverse(X6)) )
    | ~ spl19_16 ),
    inference(avatar_component_clause,[],[f162]) ).

fof(f162,plain,
    ( spl19_16
  <=> ! [X6] :
        ( sP0(multiply(X6,sk_c5))
        | sP1(inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_16])]) ).

fof(f726,plain,
    ( ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_14 ),
    inference(avatar_contradiction_clause,[],[f725]) ).

fof(f725,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_14 ),
    inference(subsumption_resolution,[],[f724,f695]) ).

fof(f695,plain,
    ( ~ sP4(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f34,f599]) ).

fof(f599,plain,
    ( sk_c5 = sk_c7
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f511,f592]) ).

fof(f592,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f590,f581]) ).

fof(f590,plain,
    ( ! [X0] : multiply(inverse(sk_c5),X0) = X0
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f479,f589]) ).

fof(f589,plain,
    ( sk_c5 = sk_c2
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f588,f584]) ).

fof(f584,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f512,f583]) ).

fof(f583,plain,
    ( sk_c5 = inverse(sk_c7)
    | ~ spl19_7 ),
    inference(forward_demodulation,[],[f52,f110]) ).

fof(f512,plain,
    ( sk_c5 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl19_1
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f452,f488]) ).

fof(f488,plain,
    ( sk_c6 = sk_c7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f119,f485]) ).

fof(f485,plain,
    ( sk_c7 = sF16
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f58,f480]) ).

fof(f480,plain,
    ( ! [X0] : multiply(X0,sk_c2) = X0
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f470,f128]) ).

fof(f128,plain,
    ( sk_c2 = sF17
    | ~ spl19_9 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f126,plain,
    ( spl19_9
  <=> sk_c2 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_9])]) ).

fof(f470,plain,
    ( ! [X0] : multiply(X0,sF17) = X0
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f245,f465]) ).

fof(f465,plain,
    ( identity = sF17
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f463,f170]) ).

fof(f463,plain,
    ( sF17 = multiply(sF15,sk_c7)
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f64,f460]) ).

fof(f460,plain,
    ( sk_c1 = sF15
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f456,f52]) ).

fof(f456,plain,
    ( inverse(sk_c7) = sk_c1
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f430,f137]) ).

fof(f137,plain,
    ( sk_c7 = sF18
    | ~ spl19_10 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f135,plain,
    ( spl19_10
  <=> sk_c7 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_10])]) ).

fof(f430,plain,
    sk_c1 = inverse(sF18),
    inference(backward_demodulation,[],[f243,f245]) ).

fof(f243,plain,
    sk_c1 = multiply(inverse(sF18),identity),
    inference(superposition,[],[f185,f173]) ).

fof(f173,plain,
    identity = multiply(sF18,sk_c1),
    inference(superposition,[],[f2,f70]) ).

fof(f70,plain,
    inverse(sk_c1) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f64,plain,
    multiply(sk_c1,sk_c7) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f58,plain,
    multiply(sk_c7,sk_c2) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f119,plain,
    ( sk_c6 = sF16
    | ~ spl19_8 ),
    inference(avatar_component_clause,[],[f117]) ).

fof(f117,plain,
    ( spl19_8
  <=> sk_c6 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_8])]) ).

fof(f452,plain,
    ( sk_c5 = multiply(inverse(sk_c6),sk_c7)
    | ~ spl19_1 ),
    inference(forward_demodulation,[],[f229,f81]) ).

fof(f229,plain,
    sk_c5 = multiply(inverse(sk_c6),sF10),
    inference(superposition,[],[f185,f42]) ).

fof(f588,plain,
    ( sk_c2 = multiply(sk_c5,sk_c7)
    | ~ spl19_7
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f478,f110]) ).

fof(f478,plain,
    ( sk_c2 = multiply(sF15,sk_c7)
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f468,f128]) ).

fof(f468,plain,
    ( sF17 = multiply(sF15,sk_c7)
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f170,f465]) ).

fof(f479,plain,
    ( ! [X0] : multiply(inverse(sk_c2),X0) = X0
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f469,f128]) ).

fof(f469,plain,
    ( ! [X0] : multiply(inverse(sF17),X0) = X0
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f224,f465]) ).

fof(f224,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f185,f1]) ).

fof(f511,plain,
    ( sk_c7 = multiply(sk_c7,sk_c5)
    | ~ spl19_1
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f451,f488]) ).

fof(f451,plain,
    ( multiply(sk_c6,sk_c5) = sk_c7
    | ~ spl19_1 ),
    inference(forward_demodulation,[],[f42,f81]) ).

fof(f34,plain,
    ~ sP4(sk_c5),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f724,plain,
    ( sP4(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_14 ),
    inference(forward_demodulation,[],[f157,f697]) ).

fof(f697,plain,
    ( sk_c7 = sF9
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f696,f488]) ).

fof(f696,plain,
    ( sk_c6 = sF9
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f41,f671]) ).

fof(f671,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f591,f599]) ).

fof(f591,plain,
    ( ! [X0] : multiply(X0,sk_c5) = X0
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f480,f589]) ).

fof(f157,plain,
    ( sP4(sF9)
    | ~ spl19_14 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl19_14
  <=> sP4(sF9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_14])]) ).

fof(f723,plain,
    ( ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(subsumption_resolution,[],[f721,f490]) ).

fof(f490,plain,
    ( ~ sP1(sk_c7)
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f31,f488]) ).

fof(f721,plain,
    ( sP1(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(forward_demodulation,[],[f720,f688]) ).

fof(f688,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f583,f599]) ).

fof(f720,plain,
    ( sP1(inverse(sk_c7))
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(resolution,[],[f719,f489]) ).

fof(f489,plain,
    ( ~ sP0(sk_c7)
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f30,f488]) ).

fof(f719,plain,
    ( ! [X6] :
        ( sP0(X6)
        | sP1(inverse(X6)) )
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(forward_demodulation,[],[f718,f671]) ).

fof(f718,plain,
    ( ! [X6] :
        ( sP0(multiply(X6,sk_c7))
        | sP1(inverse(X6)) )
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_16 ),
    inference(forward_demodulation,[],[f163,f599]) ).

fof(f717,plain,
    ( ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(avatar_contradiction_clause,[],[f716]) ).

fof(f716,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(subsumption_resolution,[],[f715,f35]) ).

fof(f35,plain,
    ~ sP5(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f715,plain,
    ( sP5(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f714,f688]) ).

fof(f714,plain,
    ( sP5(inverse(sk_c7))
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(resolution,[],[f710,f491]) ).

fof(f491,plain,
    ( ~ sP6(sk_c7)
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f36,f488]) ).

fof(f36,plain,
    ~ sP6(sk_c6),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f710,plain,
    ( ! [X4] :
        ( sP6(X4)
        | sP5(inverse(X4)) )
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f709,f671]) ).

fof(f709,plain,
    ( ! [X4] :
        ( sP6(multiply(X4,sk_c7))
        | sP5(inverse(X4)) )
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f153,f592]) ).

fof(f153,plain,
    ( ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(sk_c7,multiply(X4,sk_c7))) )
    | ~ spl19_13 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f152,plain,
    ( spl19_13
  <=> ! [X4] :
        ( sP5(inverse(X4))
        | sP6(multiply(sk_c7,multiply(X4,sk_c7))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_13])]) ).

fof(f707,plain,
    ( ~ spl19_11
    | ~ spl19_1 ),
    inference(avatar_split_clause,[],[f423,f79,f144]) ).

fof(f144,plain,
    ( spl19_11
  <=> sP8(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_11])]) ).

fof(f423,plain,
    ( ~ sP8(sk_c7)
    | ~ spl19_1 ),
    inference(forward_demodulation,[],[f76,f81]) ).

fof(f76,plain,
    ~ sP8(sF10),
    inference(definition_folding,[],[f38,f42]) ).

fof(f38,plain,
    ~ sP8(multiply(sk_c6,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f705,plain,
    ( ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_12 ),
    inference(avatar_contradiction_clause,[],[f704]) ).

fof(f704,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_12 ),
    inference(subsumption_resolution,[],[f703,f702]) ).

fof(f702,plain,
    ( ~ sP7(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f37,f599]) ).

fof(f37,plain,
    ~ sP7(sk_c5),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f703,plain,
    ( sP7(sk_c7)
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_12 ),
    inference(forward_demodulation,[],[f150,f682]) ).

fof(f682,plain,
    ( sk_c7 = sF15
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f681,f599]) ).

fof(f681,plain,
    ( sk_c5 = sF15
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f589,f666]) ).

fof(f666,plain,
    ( sk_c2 = sF15
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f476,f630]) ).

fof(f630,plain,
    ( identity = sF15
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f461,f592]) ).

fof(f461,plain,
    ( identity = multiply(sk_c7,sF15)
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f455,f460]) ).

fof(f455,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f173,f137]) ).

fof(f476,plain,
    ( identity = sk_c2
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f465,f128]) ).

fof(f150,plain,
    ( sP7(sF15)
    | ~ spl19_12 ),
    inference(avatar_component_clause,[],[f148]) ).

fof(f148,plain,
    ( spl19_12
  <=> sP7(sF15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_12])]) ).

fof(f701,plain,
    ( ~ spl19_1
    | spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(avatar_contradiction_clause,[],[f700]) ).

fof(f700,plain,
    ( $false
    | ~ spl19_1
    | spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f699,f599]) ).

fof(f699,plain,
    ( sk_c5 != sk_c7
    | ~ spl19_1
    | spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f84,f697]) ).

fof(f84,plain,
    ( sk_c5 != sF9
    | spl19_2 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f665,plain,
    ( ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(avatar_contradiction_clause,[],[f664]) ).

fof(f664,plain,
    ( $false
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(subsumption_resolution,[],[f663,f33]) ).

fof(f33,plain,
    ~ sP3(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f663,plain,
    ( sP3(sk_c7)
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(forward_demodulation,[],[f662,f609]) ).

fof(f609,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f581,f601]) ).

fof(f601,plain,
    ( sk_c5 = sk_c7
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f585,f593]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl19_1
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f587,f592]) ).

fof(f585,plain,
    ( sk_c7 = multiply(sk_c5,sk_c5)
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f517,f110]) ).

fof(f517,plain,
    ( sk_c7 = multiply(sF15,sk_c5)
    | ~ spl19_2
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f500,f52]) ).

fof(f500,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c5)
    | ~ spl19_2
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f230,f488]) ).

fof(f230,plain,
    ( sk_c7 = multiply(inverse(sk_c6),sk_c5)
    | ~ spl19_2 ),
    inference(superposition,[],[f185,f169]) ).

fof(f169,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl19_2 ),
    inference(backward_demodulation,[],[f41,f85]) ).

fof(f662,plain,
    ( sP3(inverse(sk_c7))
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(resolution,[],[f623,f32]) ).

fof(f32,plain,
    ~ sP2(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f623,plain,
    ( ! [X5] :
        ( sP2(X5)
        | sP3(inverse(X5)) )
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(backward_demodulation,[],[f493,f622]) ).

fof(f622,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f591,f601]) ).

fof(f493,plain,
    ( ! [X5] :
        ( sP2(multiply(X5,sk_c7))
        | sP3(inverse(X5)) )
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10
    | ~ spl19_15 ),
    inference(backward_demodulation,[],[f160,f488]) ).

fof(f160,plain,
    ( ! [X5] :
        ( sP2(multiply(X5,sk_c6))
        | sP3(inverse(X5)) )
    | ~ spl19_15 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f159,plain,
    ( spl19_15
  <=> ! [X5] :
        ( sP2(multiply(X5,sk_c6))
        | sP3(inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl19_15])]) ).

fof(f655,plain,
    ( spl19_3
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(avatar_split_clause,[],[f654,f135,f126,f117,f108,f93,f83,f79,f88]) ).

fof(f654,plain,
    ( sk_c7 = sF11
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f653,f609]) ).

fof(f653,plain,
    ( inverse(sk_c7) = sF11
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f44,f633]) ).

fof(f633,plain,
    ( sk_c7 = sk_c3
    | ~ spl19_1
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_7
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f632,f622]) ).

fof(f632,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f167,f488]) ).

fof(f167,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl19_4 ),
    inference(backward_demodulation,[],[f46,f95]) ).

fof(f578,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | spl19_5
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(avatar_contradiction_clause,[],[f577]) ).

fof(f577,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | spl19_5
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(subsumption_resolution,[],[f576,f488]) ).

fof(f576,plain,
    ( sk_c6 != sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | spl19_5
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f99,f571]) ).

fof(f571,plain,
    ( sk_c7 = sF13
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f570,f534]) ).

fof(f534,plain,
    ( sk_c5 = sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f517,f528]) ).

fof(f528,plain,
    ( ! [X0] : multiply(sF15,X0) = X0
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f215,f520]) ).

fof(f520,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f475,f518]) ).

fof(f518,plain,
    ( sk_c7 = sk_c2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f501,f478]) ).

fof(f501,plain,
    ( sk_c7 = multiply(sF15,sk_c7)
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f426,f488]) ).

fof(f426,plain,
    ( sk_c7 = multiply(sF15,sk_c6)
    | ~ spl19_3
    | ~ spl19_4 ),
    inference(backward_demodulation,[],[f421,f424]) ).

fof(f424,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sF15,X0)
    | ~ spl19_3 ),
    inference(backward_demodulation,[],[f232,f52]) ).

fof(f232,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(inverse(sk_c7),X0)
    | ~ spl19_3 ),
    inference(superposition,[],[f185,f187]) ).

fof(f187,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl19_3 ),
    inference(forward_demodulation,[],[f186,f1]) ).

fof(f186,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl19_3 ),
    inference(superposition,[],[f3,f171]) ).

fof(f171,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl19_3 ),
    inference(superposition,[],[f2,f168]) ).

fof(f168,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl19_3 ),
    inference(backward_demodulation,[],[f44,f90]) ).

fof(f421,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl19_3
    | ~ spl19_4 ),
    inference(backward_demodulation,[],[f233,f232]) ).

fof(f233,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c6)
    | ~ spl19_3
    | ~ spl19_4 ),
    inference(superposition,[],[f185,f195]) ).

fof(f195,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl19_3
    | ~ spl19_4 ),
    inference(superposition,[],[f187,f167]) ).

fof(f475,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f464,f128]) ).

fof(f464,plain,
    ( ! [X0] : multiply(sF17,X0) = X0
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f462,f215]) ).

fof(f462,plain,
    ( ! [X0] : multiply(sF17,X0) = multiply(sF15,multiply(sk_c7,X0))
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f182,f460]) ).

fof(f182,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(sF17,X0),
    inference(superposition,[],[f3,f64]) ).

fof(f570,plain,
    ( sk_c5 = sF13
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(forward_demodulation,[],[f513,f525]) ).

fof(f525,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f480,f518]) ).

fof(f513,plain,
    ( sk_c5 = multiply(sF13,sk_c7)
    | ~ spl19_6
    | ~ spl19_8
    | ~ spl19_9
    | ~ spl19_10 ),
    inference(backward_demodulation,[],[f453,f488]) ).

fof(f99,plain,
    ( sk_c6 != sF13
    | spl19_5 ),
    inference(avatar_component_clause,[],[f98]) ).

fof(f418,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(avatar_contradiction_clause,[],[f417]) ).

fof(f417,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(subsumption_resolution,[],[f416,f33]) ).

fof(f416,plain,
    ( sP3(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(forward_demodulation,[],[f415,f307]) ).

fof(f307,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f52,f305]) ).

fof(f305,plain,
    ( sk_c7 = sF15
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f300,f52]) ).

fof(f300,plain,
    ( sk_c7 = inverse(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f281,f294]) ).

fof(f294,plain,
    ( identity = sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f170,f288]) ).

fof(f288,plain,
    ( ! [X0] : multiply(sF15,X0) = X0
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f215,f287]) ).

fof(f287,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f224,f281]) ).

fof(f281,plain,
    ( sk_c7 = inverse(identity)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f168,f280]) ).

fof(f280,plain,
    ( identity = sk_c3
    | ~ spl19_2
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f263,f247]) ).

fof(f247,plain,
    ( sk_c3 = multiply(sk_c7,sk_c4)
    | ~ spl19_4
    | ~ spl19_5 ),
    inference(backward_demodulation,[],[f202,f245]) ).

fof(f202,plain,
    ( multiply(sk_c7,sk_c4) = multiply(sk_c3,identity)
    | ~ spl19_4
    | ~ spl19_5 ),
    inference(superposition,[],[f180,f172]) ).

fof(f172,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl19_5 ),
    inference(superposition,[],[f2,f166]) ).

fof(f166,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl19_5 ),
    inference(backward_demodulation,[],[f48,f100]) ).

fof(f180,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl19_4 ),
    inference(superposition,[],[f3,f167]) ).

fof(f263,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f172,f252]) ).

fof(f252,plain,
    ( sk_c6 = sk_c7
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f249,f165]) ).

fof(f249,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl19_2
    | ~ spl19_5 ),
    inference(backward_demodulation,[],[f230,f248]) ).

fof(f248,plain,
    ( sk_c4 = inverse(sk_c6)
    | ~ spl19_5 ),
    inference(forward_demodulation,[],[f231,f245]) ).

fof(f231,plain,
    ( sk_c4 = multiply(inverse(sk_c6),identity)
    | ~ spl19_5 ),
    inference(superposition,[],[f185,f172]) ).

fof(f415,plain,
    ( sP3(inverse(sk_c7))
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(resolution,[],[f412,f32]) ).

fof(f412,plain,
    ( ! [X5] :
        ( sP2(X5)
        | sP3(inverse(X5)) )
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(forward_demodulation,[],[f411,f298]) ).

fof(f298,plain,
    ( ! [X0] : multiply(X0,sk_c7) = X0
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f245,f294]) ).

fof(f411,plain,
    ( ! [X5] :
        ( sP2(multiply(X5,sk_c7))
        | sP3(inverse(X5)) )
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_15 ),
    inference(forward_demodulation,[],[f160,f252]) ).

fof(f410,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_14 ),
    inference(avatar_contradiction_clause,[],[f409]) ).

fof(f409,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_14 ),
    inference(subsumption_resolution,[],[f408,f309]) ).

fof(f309,plain,
    ( ~ sP4(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f34,f292]) ).

fof(f292,plain,
    ( sk_c5 = sk_c7
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f262,f287]) ).

fof(f262,plain,
    ( sk_c5 = multiply(sk_c7,sk_c7)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f169,f252]) ).

fof(f408,plain,
    ( sP4(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_14 ),
    inference(forward_demodulation,[],[f157,f311]) ).

fof(f311,plain,
    ( sk_c7 = sF9
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f85,f292]) ).

fof(f407,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(avatar_contradiction_clause,[],[f406]) ).

fof(f406,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(subsumption_resolution,[],[f405,f35]) ).

fof(f405,plain,
    ( sP5(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f404,f307]) ).

fof(f404,plain,
    ( sP5(inverse(sk_c7))
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(resolution,[],[f399,f255]) ).

fof(f255,plain,
    ( ~ sP6(sk_c7)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f36,f252]) ).

fof(f399,plain,
    ( ! [X4] :
        ( sP6(X4)
        | sP5(inverse(X4)) )
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f398,f298]) ).

fof(f398,plain,
    ( ! [X4] :
        ( sP6(multiply(X4,sk_c7))
        | sP5(inverse(X4)) )
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_13 ),
    inference(forward_demodulation,[],[f153,f287]) ).

fof(f396,plain,
    ( ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_12 ),
    inference(avatar_contradiction_clause,[],[f395]) ).

fof(f395,plain,
    ( $false
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_12 ),
    inference(subsumption_resolution,[],[f394,f310]) ).

fof(f310,plain,
    ( ~ sP7(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f37,f292]) ).

fof(f394,plain,
    ( sP7(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6
    | ~ spl19_12 ),
    inference(forward_demodulation,[],[f150,f305]) ).

fof(f393,plain,
    ( ~ spl19_11
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(avatar_split_clause,[],[f314,f103,f98,f93,f88,f83,f144]) ).

fof(f314,plain,
    ( ~ sP8(sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f308,f292]) ).

fof(f308,plain,
    ( ~ sP8(sk_c5)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f76,f291]) ).

fof(f291,plain,
    ( sk_c5 = sF10
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f256,f287]) ).

fof(f256,plain,
    ( sF10 = multiply(sk_c7,sk_c5)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f42,f252]) ).

fof(f357,plain,
    ( spl19_1
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(avatar_split_clause,[],[f356,f103,f98,f93,f88,f83,f79]) ).

fof(f356,plain,
    ( sk_c7 = sF10
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f355,f292]) ).

fof(f355,plain,
    ( sk_c5 = sF10
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f354,f287]) ).

fof(f354,plain,
    ( sk_c5 = multiply(sk_c7,sF10)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f250,f315]) ).

fof(f315,plain,
    ( sk_c7 = sk_c4
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(forward_demodulation,[],[f312,f298]) ).

fof(f312,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl19_2
    | ~ spl19_3
    | ~ spl19_4
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f259,f292]) ).

fof(f259,plain,
    ( sk_c7 = multiply(sk_c4,sk_c5)
    | ~ spl19_2
    | ~ spl19_5
    | ~ spl19_6 ),
    inference(backward_demodulation,[],[f165,f252]) ).

fof(f250,plain,
    ( sk_c5 = multiply(sk_c4,sF10)
    | ~ spl19_5 ),
    inference(backward_demodulation,[],[f229,f248]) ).

fof(f164,plain,
    ( spl19_11
    | spl19_12
    | spl19_13
    | spl19_14
    | spl19_15
    | spl19_16 ),
    inference(avatar_split_clause,[],[f77,f162,f159,f155,f152,f148,f144]) ).

fof(f77,plain,
    ! [X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(sF9)
      | sP5(inverse(X4))
      | sP6(multiply(sk_c7,multiply(X4,sk_c7)))
      | sP7(sF15)
      | sP8(sk_c7) ),
    inference(definition_folding,[],[f40,f52,f41]) ).

fof(f40,plain,
    ! [X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(multiply(sk_c6,sk_c7))
      | sP5(inverse(X4))
      | sP6(multiply(sk_c7,multiply(X4,sk_c7)))
      | sP7(inverse(sk_c7))
      | sP8(sk_c7) ),
    inference(equality_resolution,[],[f39]) ).

fof(f39,plain,
    ! [X3,X6,X4,X5] :
      ( sP0(multiply(X6,sk_c5))
      | sP1(inverse(X6))
      | sP2(multiply(X5,sk_c6))
      | sP3(inverse(X5))
      | sP4(multiply(sk_c6,sk_c7))
      | sP5(inverse(X4))
      | multiply(X4,sk_c7) != X3
      | sP6(multiply(sk_c7,X3))
      | sP7(inverse(sk_c7))
      | sP8(sk_c7) ),
    inference(inequality_splitting,[],[f29,f38,f37,f36,f35,f34,f33,f32,f31,f30]) ).

fof(f29,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != multiply(X6,sk_c5)
      | sk_c6 != inverse(X6)
      | sk_c7 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X5)
      | sk_c5 != multiply(sk_c6,sk_c7)
      | sk_c7 != inverse(X4)
      | multiply(X4,sk_c7) != X3
      | sk_c6 != multiply(sk_c7,X3)
      | sk_c5 != inverse(sk_c7)
      | multiply(sk_c6,sk_c5) != sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f142,plain,
    ( spl19_10
    | spl19_6 ),
    inference(avatar_split_clause,[],[f75,f103,f135]) ).

fof(f75,plain,
    ( sk_c6 = sF14
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f28,f70,f50]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f141,plain,
    ( spl19_10
    | spl19_5 ),
    inference(avatar_split_clause,[],[f74,f98,f135]) ).

fof(f74,plain,
    ( sk_c6 = sF13
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f27,f70,f48]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f140,plain,
    ( spl19_10
    | spl19_4 ),
    inference(avatar_split_clause,[],[f73,f93,f135]) ).

fof(f73,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f26,f70,f46]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f139,plain,
    ( spl19_10
    | spl19_3 ),
    inference(avatar_split_clause,[],[f72,f88,f135]) ).

fof(f72,plain,
    ( sk_c7 = sF11
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f25,f70,f44]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f138,plain,
    ( spl19_10
    | spl19_2 ),
    inference(avatar_split_clause,[],[f71,f83,f135]) ).

fof(f71,plain,
    ( sk_c5 = sF9
    | sk_c7 = sF18 ),
    inference(definition_folding,[],[f24,f70,f41]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f133,plain,
    ( spl19_9
    | spl19_6 ),
    inference(avatar_split_clause,[],[f69,f103,f126]) ).

fof(f69,plain,
    ( sk_c6 = sF14
    | sk_c2 = sF17 ),
    inference(definition_folding,[],[f23,f64,f50]) ).

fof(f23,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).

fof(f132,plain,
    ( spl19_9
    | spl19_5 ),
    inference(avatar_split_clause,[],[f68,f98,f126]) ).

fof(f68,plain,
    ( sk_c6 = sF13
    | sk_c2 = sF17 ),
    inference(definition_folding,[],[f22,f64,f48]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f131,plain,
    ( spl19_9
    | spl19_4 ),
    inference(avatar_split_clause,[],[f67,f93,f126]) ).

fof(f67,plain,
    ( sk_c7 = sF12
    | sk_c2 = sF17 ),
    inference(definition_folding,[],[f21,f64,f46]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f130,plain,
    ( spl19_9
    | spl19_3 ),
    inference(avatar_split_clause,[],[f66,f88,f126]) ).

fof(f66,plain,
    ( sk_c7 = sF11
    | sk_c2 = sF17 ),
    inference(definition_folding,[],[f20,f64,f44]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f129,plain,
    ( spl19_9
    | spl19_2 ),
    inference(avatar_split_clause,[],[f65,f83,f126]) ).

fof(f65,plain,
    ( sk_c5 = sF9
    | sk_c2 = sF17 ),
    inference(definition_folding,[],[f19,f64,f41]) ).

fof(f19,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c2 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f124,plain,
    ( spl19_8
    | spl19_6 ),
    inference(avatar_split_clause,[],[f63,f103,f117]) ).

fof(f63,plain,
    ( sk_c6 = sF14
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f18,f58,f50]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f123,plain,
    ( spl19_8
    | spl19_5 ),
    inference(avatar_split_clause,[],[f62,f98,f117]) ).

fof(f62,plain,
    ( sk_c6 = sF13
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f17,f58,f48]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f122,plain,
    ( spl19_8
    | spl19_4 ),
    inference(avatar_split_clause,[],[f61,f93,f117]) ).

fof(f61,plain,
    ( sk_c7 = sF12
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f16,f58,f46]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f121,plain,
    ( spl19_8
    | spl19_3 ),
    inference(avatar_split_clause,[],[f60,f88,f117]) ).

fof(f60,plain,
    ( sk_c7 = sF11
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f15,f58,f44]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f120,plain,
    ( spl19_8
    | spl19_2 ),
    inference(avatar_split_clause,[],[f59,f83,f117]) ).

fof(f59,plain,
    ( sk_c5 = sF9
    | sk_c6 = sF16 ),
    inference(definition_folding,[],[f14,f58,f41]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f115,plain,
    ( spl19_7
    | spl19_6 ),
    inference(avatar_split_clause,[],[f57,f103,f108]) ).

fof(f57,plain,
    ( sk_c6 = sF14
    | sk_c5 = sF15 ),
    inference(definition_folding,[],[f13,f52,f50]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f113,plain,
    ( spl19_7
    | spl19_4 ),
    inference(avatar_split_clause,[],[f55,f93,f108]) ).

fof(f55,plain,
    ( sk_c7 = sF12
    | sk_c5 = sF15 ),
    inference(definition_folding,[],[f11,f52,f46]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f112,plain,
    ( spl19_7
    | spl19_3 ),
    inference(avatar_split_clause,[],[f54,f88,f108]) ).

fof(f54,plain,
    ( sk_c7 = sF11
    | sk_c5 = sF15 ),
    inference(definition_folding,[],[f10,f52,f44]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f111,plain,
    ( spl19_7
    | spl19_2 ),
    inference(avatar_split_clause,[],[f53,f83,f108]) ).

fof(f53,plain,
    ( sk_c5 = sF9
    | sk_c5 = sF15 ),
    inference(definition_folding,[],[f9,f52,f41]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = inverse(sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f106,plain,
    ( spl19_1
    | spl19_6 ),
    inference(avatar_split_clause,[],[f51,f103,f79]) ).

fof(f51,plain,
    ( sk_c6 = sF14
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f8,f42,f50]) ).

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

fof(f101,plain,
    ( spl19_1
    | spl19_5 ),
    inference(avatar_split_clause,[],[f49,f98,f79]) ).

fof(f49,plain,
    ( sk_c6 = sF13
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f7,f42,f48]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c4)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f96,plain,
    ( spl19_1
    | spl19_4 ),
    inference(avatar_split_clause,[],[f47,f93,f79]) ).

fof(f47,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f6,f42,f46]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).

fof(f91,plain,
    ( spl19_1
    | spl19_3 ),
    inference(avatar_split_clause,[],[f45,f88,f79]) ).

fof(f45,plain,
    ( sk_c7 = sF11
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f5,f42,f44]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c3)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f86,plain,
    ( spl19_1
    | spl19_2 ),
    inference(avatar_split_clause,[],[f43,f83,f79]) ).

fof(f43,plain,
    ( sk_c5 = sF9
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f4,f42,f41]) ).

fof(f4,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | multiply(sk_c6,sk_c5) = sk_c7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GRP360-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36  % Computer : n027.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 05:54:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.14/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.89  % (28139)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.73/0.89  % (28137)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.89  % (28138)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.73/0.89  % (28140)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.73/0.89  % (28141)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.73/0.89  % (28142)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.73/0.89  % (28143)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.73/0.89  % (28144)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.73/0.89  % (28137)Refutation not found, incomplete strategy% (28137)------------------------------
% 0.73/0.89  % (28137)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28140)Refutation not found, incomplete strategy% (28140)------------------------------
% 0.73/0.89  % (28140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28137)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  
% 0.73/0.89  % (28137)Memory used [KB]: 1003
% 0.73/0.89  % (28137)Time elapsed: 0.003 s
% 0.73/0.89  % (28137)Instructions burned: 4 (million)
% 0.73/0.89  % (28140)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  % (28141)Refutation not found, incomplete strategy% (28141)------------------------------
% 0.73/0.89  % (28141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28141)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  
% 0.73/0.89  % (28141)Memory used [KB]: 1002
% 0.73/0.89  % (28141)Time elapsed: 0.003 s
% 0.73/0.89  % (28141)Instructions burned: 4 (million)
% 0.73/0.89  
% 0.73/0.89  % (28140)Memory used [KB]: 995
% 0.73/0.89  % (28140)Time elapsed: 0.003 s
% 0.73/0.89  % (28140)Instructions burned: 3 (million)
% 0.73/0.89  % (28144)Refutation not found, incomplete strategy% (28144)------------------------------
% 0.73/0.89  % (28144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28144)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  
% 0.73/0.89  % (28144)Memory used [KB]: 988
% 0.73/0.89  % (28144)Time elapsed: 0.003 s
% 0.73/0.89  % (28144)Instructions burned: 3 (million)
% 0.73/0.89  % (28137)------------------------------
% 0.73/0.89  % (28137)------------------------------
% 0.73/0.89  % (28141)------------------------------
% 0.73/0.89  % (28141)------------------------------
% 0.73/0.89  % (28140)------------------------------
% 0.73/0.89  % (28140)------------------------------
% 0.73/0.89  % (28144)------------------------------
% 0.73/0.89  % (28144)------------------------------
% 0.73/0.89  % (28142)Refutation not found, incomplete strategy% (28142)------------------------------
% 0.73/0.89  % (28142)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28142)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  
% 0.73/0.89  % (28142)Memory used [KB]: 992
% 0.73/0.89  % (28142)Time elapsed: 0.003 s
% 0.73/0.89  % (28142)Instructions burned: 4 (million)
% 0.73/0.89  % (28139)Refutation not found, incomplete strategy% (28139)------------------------------
% 0.73/0.89  % (28139)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.89  % (28139)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.89  % (28142)------------------------------
% 0.73/0.89  % (28142)------------------------------
% 0.73/0.89  
% 0.73/0.89  % (28139)Memory used [KB]: 1057
% 0.73/0.89  % (28139)Time elapsed: 0.004 s
% 0.73/0.89  % (28139)Instructions burned: 5 (million)
% 0.73/0.89  % (28139)------------------------------
% 0.73/0.89  % (28139)------------------------------
% 0.73/0.90  % (28145)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.73/0.90  % (28147)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.73/0.90  % (28146)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.73/0.90  % (28149)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.73/0.90  % (28148)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.73/0.90  % (28150)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.73/0.90  % (28146)Refutation not found, incomplete strategy% (28146)------------------------------
% 0.73/0.90  % (28146)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28146)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28146)Memory used [KB]: 998
% 0.73/0.90  % (28146)Time elapsed: 0.003 s
% 0.73/0.90  % (28146)Instructions burned: 4 (million)
% 0.73/0.90  % (28150)Refutation not found, incomplete strategy% (28150)------------------------------
% 0.73/0.90  % (28150)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28150)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28150)Memory used [KB]: 1009
% 0.73/0.90  % (28150)Time elapsed: 0.003 s
% 0.73/0.90  % (28150)Instructions burned: 3 (million)
% 0.73/0.90  % (28146)------------------------------
% 0.73/0.90  % (28146)------------------------------
% 0.73/0.90  % (28145)Refutation not found, incomplete strategy% (28145)------------------------------
% 0.73/0.90  % (28145)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28145)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28145)Memory used [KB]: 1068
% 0.73/0.90  % (28150)------------------------------
% 0.73/0.90  % (28150)------------------------------
% 0.73/0.90  % (28148)Refutation not found, incomplete strategy% (28148)------------------------------
% 0.73/0.90  % (28148)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28148)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28148)Memory used [KB]: 1058
% 0.73/0.90  % (28148)Time elapsed: 0.004 s
% 0.73/0.90  % (28148)Instructions burned: 5 (million)
% 0.73/0.90  % (28145)Time elapsed: 0.004 s
% 0.73/0.90  % (28145)Instructions burned: 5 (million)
% 0.73/0.90  % (28148)------------------------------
% 0.73/0.90  % (28148)------------------------------
% 0.73/0.90  % (28145)------------------------------
% 0.73/0.90  % (28145)------------------------------
% 0.73/0.90  % (28147)Refutation not found, incomplete strategy% (28147)------------------------------
% 0.73/0.90  % (28147)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28147)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28147)Memory used [KB]: 1085
% 0.73/0.90  % (28147)Time elapsed: 0.006 s
% 0.73/0.90  % (28147)Instructions burned: 9 (million)
% 0.73/0.90  % (28147)------------------------------
% 0.73/0.90  % (28147)------------------------------
% 0.73/0.90  % (28152)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.73/0.90  % (28151)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.73/0.90  % (28153)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.73/0.90  % (28154)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.73/0.90  % (28152)Refutation not found, incomplete strategy% (28152)------------------------------
% 0.73/0.90  % (28152)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28152)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28152)Memory used [KB]: 988
% 0.73/0.90  % (28152)Time elapsed: 0.003 s
% 0.73/0.90  % (28152)Instructions burned: 3 (million)
% 0.73/0.90  % (28152)------------------------------
% 0.73/0.90  % (28152)------------------------------
% 0.73/0.90  % (28153)Refutation not found, incomplete strategy% (28153)------------------------------
% 0.73/0.90  % (28153)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.90  % (28153)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.90  
% 0.73/0.90  % (28153)Memory used [KB]: 1005
% 0.73/0.90  % (28153)Time elapsed: 0.003 s
% 0.73/0.90  % (28153)Instructions burned: 4 (million)
% 0.73/0.90  % (28155)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.73/0.90  % (28153)------------------------------
% 0.73/0.90  % (28153)------------------------------
% 0.73/0.91  % (28155)Refutation not found, incomplete strategy% (28155)------------------------------
% 0.73/0.91  % (28155)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (28155)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (28155)Memory used [KB]: 989
% 0.73/0.91  % (28155)Time elapsed: 0.003 s
% 0.73/0.91  % (28155)Instructions burned: 3 (million)
% 0.73/0.91  % (28155)------------------------------
% 0.73/0.91  % (28155)------------------------------
% 0.73/0.91  % (28156)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.73/0.91  % (28157)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.73/0.91  % (28158)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.73/0.91  % (28156)Refutation not found, incomplete strategy% (28156)------------------------------
% 0.73/0.91  % (28156)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (28156)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (28156)Memory used [KB]: 1068
% 0.73/0.91  % (28156)Time elapsed: 0.004 s
% 0.73/0.91  % (28156)Instructions burned: 5 (million)
% 0.73/0.91  % (28156)------------------------------
% 0.73/0.91  % (28156)------------------------------
% 0.73/0.91  % (28157)Refutation not found, incomplete strategy% (28157)------------------------------
% 0.73/0.91  % (28157)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (28157)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (28157)Memory used [KB]: 1058
% 0.73/0.91  % (28157)Time elapsed: 0.004 s
% 0.73/0.91  % (28157)Instructions burned: 5 (million)
% 0.73/0.91  % (28157)------------------------------
% 0.73/0.91  % (28157)------------------------------
% 0.73/0.91  % (28158)Refutation not found, incomplete strategy% (28158)------------------------------
% 0.73/0.91  % (28158)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.91  % (28158)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.91  
% 0.73/0.91  % (28158)Memory used [KB]: 1011
% 0.73/0.91  % (28158)Time elapsed: 0.004 s
% 0.73/0.91  % (28158)Instructions burned: 4 (million)
% 0.73/0.91  % (28158)------------------------------
% 0.73/0.91  % (28158)------------------------------
% 0.83/0.91  % (28159)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.83/0.91  % (28160)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.83/0.92  % (28138)Instruction limit reached!
% 0.83/0.92  % (28138)------------------------------
% 0.83/0.92  % (28138)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.92  % (28138)Termination reason: Unknown
% 0.83/0.92  % (28138)Termination phase: Saturation
% 0.83/0.92  
% 0.83/0.92  % (28138)Memory used [KB]: 1672
% 0.83/0.92  % (28138)Time elapsed: 0.026 s
% 0.83/0.92  % (28138)Instructions burned: 51 (million)
% 0.83/0.92  % (28138)------------------------------
% 0.83/0.92  % (28138)------------------------------
% 0.83/0.92  % (28161)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.83/0.92  % (28160)Refutation not found, incomplete strategy% (28160)------------------------------
% 0.83/0.92  % (28160)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.92  % (28160)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.92  
% 0.83/0.92  % (28160)Memory used [KB]: 992
% 0.83/0.92  % (28160)Time elapsed: 0.003 s
% 0.83/0.92  % (28160)Instructions burned: 3 (million)
% 0.83/0.92  % (28160)------------------------------
% 0.83/0.92  % (28160)------------------------------
% 0.83/0.92  % (28162)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on theBenchmark for (2994ds/35Mi)
% 0.83/0.92  % (28161)Refutation not found, incomplete strategy% (28161)------------------------------
% 0.83/0.92  % (28161)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.92  % (28161)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.92  
% 0.83/0.92  % (28161)Memory used [KB]: 1090
% 0.83/0.92  % (28161)Time elapsed: 0.005 s
% 0.83/0.92  % (28161)Instructions burned: 6 (million)
% 0.83/0.92  % (28161)------------------------------
% 0.83/0.92  % (28161)------------------------------
% 0.83/0.92  % (28163)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2994ds/87Mi)
% 0.83/0.92  % (28164)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on theBenchmark for (2994ds/109Mi)
% 0.83/0.93  % (28143)Instruction limit reached!
% 0.83/0.93  % (28143)------------------------------
% 0.83/0.93  % (28143)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.93  % (28143)Termination reason: Unknown
% 0.83/0.93  % (28143)Termination phase: Saturation
% 0.83/0.93  
% 0.83/0.93  % (28143)Memory used [KB]: 1926
% 0.83/0.93  % (28143)Time elapsed: 0.039 s
% 0.83/0.93  % (28143)Instructions burned: 83 (million)
% 0.83/0.93  % (28143)------------------------------
% 0.83/0.93  % (28143)------------------------------
% 0.83/0.93  % (28165)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on theBenchmark for (2994ds/161Mi)
% 0.83/0.93  % (28165)Refutation not found, incomplete strategy% (28165)------------------------------
% 0.83/0.93  % (28165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.83/0.93  % (28165)Termination reason: Refutation not found, incomplete strategy
% 0.83/0.93  
% 0.83/0.93  % (28165)Memory used [KB]: 984
% 0.83/0.93  % (28165)Time elapsed: 0.003 s
% 0.83/0.93  % (28165)Instructions burned: 3 (million)
% 0.83/0.93  % (28165)------------------------------
% 0.83/0.93  % (28165)------------------------------
% 0.91/0.93  % (28162)Instruction limit reached!
% 0.91/0.93  % (28162)------------------------------
% 0.91/0.93  % (28162)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.93  % (28162)Termination reason: Unknown
% 0.91/0.93  % (28162)Termination phase: Saturation
% 0.91/0.93  
% 0.91/0.93  % (28162)Memory used [KB]: 1157
% 0.91/0.93  % (28162)Time elapsed: 0.018 s
% 0.91/0.93  % (28162)Instructions burned: 35 (million)
% 0.91/0.93  % (28162)------------------------------
% 0.91/0.93  % (28162)------------------------------
% 0.91/0.94  % (28166)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on theBenchmark for (2994ds/69Mi)
% 0.91/0.94  % (28159)Instruction limit reached!
% 0.91/0.94  % (28159)------------------------------
% 0.91/0.94  % (28159)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.94  % (28159)Termination reason: Unknown
% 0.91/0.94  % (28159)Termination phase: Saturation
% 0.91/0.94  
% 0.91/0.94  % (28159)Memory used [KB]: 1171
% 0.91/0.94  % (28159)Time elapsed: 0.026 s
% 0.91/0.94  % (28159)Instructions burned: 55 (million)
% 0.91/0.94  % (28159)------------------------------
% 0.91/0.94  % (28159)------------------------------
% 0.91/0.94  % (28167)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on theBenchmark for (2994ds/40Mi)
% 0.91/0.94  % (28166)Refutation not found, incomplete strategy% (28166)------------------------------
% 0.91/0.94  % (28166)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.94  % (28166)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.94  
% 0.91/0.94  % (28166)Memory used [KB]: 1011
% 0.91/0.94  % (28166)Time elapsed: 0.003 s
% 0.91/0.94  % (28166)Instructions burned: 3 (million)
% 0.91/0.94  % (28166)------------------------------
% 0.91/0.94  % (28166)------------------------------
% 0.91/0.94  % (28168)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on theBenchmark for (2994ds/360Mi)
% 0.91/0.94  % (28169)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2994ds/161Mi)
% 0.91/0.94  % (28167)Refutation not found, incomplete strategy% (28167)------------------------------
% 0.91/0.94  % (28167)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.94  % (28167)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.94  
% 0.91/0.94  % (28167)Memory used [KB]: 1116
% 0.91/0.94  % (28167)Time elapsed: 0.008 s
% 0.91/0.94  % (28167)Instructions burned: 11 (million)
% 0.91/0.95  % (28167)------------------------------
% 0.91/0.95  % (28167)------------------------------
% 0.91/0.95  % (28170)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2994ds/80Mi)
% 0.91/0.95  % (28154)Instruction limit reached!
% 0.91/0.95  % (28154)------------------------------
% 0.91/0.95  % (28154)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.95  % (28154)Termination reason: Unknown
% 0.91/0.95  % (28154)Termination phase: Saturation
% 0.91/0.95  
% 0.91/0.95  % (28154)Memory used [KB]: 1995
% 0.91/0.95  % (28154)Time elapsed: 0.048 s
% 0.91/0.95  % (28154)Instructions burned: 93 (million)
% 0.91/0.95  % (28154)------------------------------
% 0.91/0.95  % (28154)------------------------------
% 0.91/0.95  % (28171)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2994ds/37Mi)
% 0.91/0.96  % (28163)Instruction limit reached!
% 0.91/0.96  % (28163)------------------------------
% 0.91/0.96  % (28163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.96  % (28163)Termination reason: Unknown
% 0.91/0.96  % (28163)Termination phase: Saturation
% 0.91/0.96  
% 0.91/0.96  % (28163)Memory used [KB]: 1450
% 0.91/0.96  % (28163)Time elapsed: 0.041 s
% 0.91/0.96  % (28163)Instructions burned: 88 (million)
% 0.91/0.96  % (28163)------------------------------
% 0.91/0.96  % (28163)------------------------------
% 0.91/0.96  % (28168)First to succeed.
% 0.91/0.96  % (28172)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2994ds/55Mi)
% 0.91/0.97  % (28168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-28136"
% 0.91/0.97  % (28172)Refutation not found, incomplete strategy% (28172)------------------------------
% 0.91/0.97  % (28172)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.97  % (28172)Termination reason: Refutation not found, incomplete strategy
% 0.91/0.97  
% 0.91/0.97  % (28172)Memory used [KB]: 1080
% 0.91/0.97  % (28172)Time elapsed: 0.005 s
% 0.91/0.97  % (28172)Instructions burned: 6 (million)
% 0.91/0.97  % (28172)------------------------------
% 0.91/0.97  % (28172)------------------------------
% 0.91/0.97  % (28168)Refutation found. Thanks to Tanya!
% 0.91/0.97  % SZS status Unsatisfiable for theBenchmark
% 0.91/0.97  % SZS output start Proof for theBenchmark
% See solution above
% 0.91/0.97  % (28168)------------------------------
% 0.91/0.97  % (28168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.91/0.97  % (28168)Termination reason: Refutation
% 0.91/0.97  
% 0.91/0.97  % (28168)Memory used [KB]: 1232
% 0.91/0.97  % (28168)Time elapsed: 0.046 s
% 0.91/0.97  % (28168)Instructions burned: 46 (million)
% 0.91/0.97  % (28136)Success in time 0.587 s
% 0.91/0.97  % Vampire---4.8 exiting
%------------------------------------------------------------------------------