TSTP Solution File: GRP208-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP208-1 : TPTP v8.1.2. 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 : n029.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:06 EDT 2024

% Result   : Unsatisfiable 0.62s 0.79s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   73
% Syntax   : Number of formulae    :  278 (   4 unt;   0 def)
%            Number of atoms       :  939 ( 347 equ)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1270 ( 609   ~; 631   |;   0   &)
%                                         (  30 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   27 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   32 (  30 usr;  31 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  13 con; 0-2 aty)
%            Number of variables   :   85 (  85   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1789,plain,
    $false,
    inference(avatar_sat_refutation,[],[f92,f97,f117,f122,f130,f131,f135,f136,f144,f145,f146,f147,f148,f149,f150,f155,f156,f158,f159,f169,f170,f171,f172,f173,f174,f175,f176,f177,f178,f183,f184,f185,f186,f187,f188,f189,f190,f191,f192,f208,f215,f224,f264,f269,f292,f306,f316,f382,f389,f400,f401,f409,f415,f416,f456,f462,f511,f709,f711,f830,f1100,f1112,f1315,f1700,f1777]) ).

fof(f1777,plain,
    ( ~ spl0_31
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_31
    | spl0_34
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f1776,f406,f286,f261,f180,f138,f124,f70,f261]) ).

fof(f70,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c2) = sk_c12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f124,plain,
    ( spl0_12
  <=> sk_c2 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f138,plain,
    ( spl0_13
  <=> sk_c12 = multiply(sk_c2,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f180,plain,
    ( spl0_16
  <=> sk_c12 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f261,plain,
    ( spl0_31
  <=> sk_c12 = sk_c11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f286,plain,
    ( spl0_34
  <=> sk_c11 = multiply(sk_c12,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f406,plain,
    ( spl0_43
  <=> sk_c12 = multiply(sk_c2,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1776,plain,
    ( sk_c12 != sk_c11
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_31
    | spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f288,f1525]) ).

fof(f1525,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_16
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(superposition,[],[f500,f373]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c3,X0)) = X0
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f358,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',left_identity) ).

fof(f358,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c3,X0))
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f332]) ).

fof(f332,plain,
    ( identity = multiply(sk_c12,sk_c3)
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f182]) ).

fof(f182,plain,
    ( sk_c12 = inverse(sk_c3)
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f180]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',associativity) ).

fof(f500,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c12,X0))
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_31
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f495,f262]) ).

fof(f262,plain,
    ( sk_c12 = sk_c11
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f261]) ).

fof(f495,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c11,X0))
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_13
    | ~ spl0_43 ),
    inference(superposition,[],[f354,f490]) ).

fof(f490,plain,
    ( sk_c2 = sk_c12
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f488,f407]) ).

fof(f407,plain,
    ( sk_c12 = multiply(sk_c2,sk_c12)
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f488,plain,
    ( sk_c2 = multiply(sk_c2,sk_c12)
    | ~ spl0_1
    | ~ spl0_12 ),
    inference(superposition,[],[f371,f72]) ).

fof(f72,plain,
    ( multiply(sk_c1,sk_c2) = sk_c12
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f371,plain,
    ( ! [X0] : multiply(sk_c2,multiply(sk_c1,X0)) = X0
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f355,f1]) ).

fof(f355,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c2,multiply(sk_c1,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f331]) ).

fof(f331,plain,
    ( identity = multiply(sk_c2,sk_c1)
    | ~ spl0_12 ),
    inference(superposition,[],[f2,f126]) ).

fof(f126,plain,
    ( sk_c2 = inverse(sk_c1)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f124]) ).

fof(f354,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c2,multiply(sk_c11,X0))
    | ~ spl0_13 ),
    inference(superposition,[],[f3,f140]) ).

fof(f140,plain,
    ( sk_c12 = multiply(sk_c2,sk_c11)
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f288,plain,
    ( sk_c11 != multiply(sk_c12,sk_c12)
    | spl0_34 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1700,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1699,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1695]) ).

fof(f1695,plain,
    ( sk_c12 != sk_c12
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f1684,f492]) ).

fof(f492,plain,
    ( sk_c12 = multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(superposition,[],[f72,f490]) ).

fof(f1684,plain,
    ( sk_c12 != multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1683]) ).

fof(f1683,plain,
    ( sk_c12 != sk_c12
    | sk_c12 != multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1682,f262]) ).

fof(f1682,plain,
    ( sk_c12 != sk_c11
    | sk_c12 != multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1676,f287]) ).

fof(f287,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f1676,plain,
    ( sk_c12 != multiply(sk_c12,sk_c12)
    | sk_c12 != multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_17
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f1318,f1101]) ).

fof(f1101,plain,
    ( sk_c12 = inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f314,f1047]) ).

fof(f1047,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(superposition,[],[f1022,f494]) ).

fof(f494,plain,
    ( identity = multiply(sk_c12,sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(superposition,[],[f331,f490]) ).

fof(f1022,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1021,f496]) ).

fof(f496,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c1,X0)) = X0
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_43 ),
    inference(superposition,[],[f371,f490]) ).

fof(f1021,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c12,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1008,f262]) ).

fof(f1008,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c11,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(superposition,[],[f391,f496]) ).

fof(f391,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c12,multiply(sk_c12,X0))
    | ~ spl0_34 ),
    inference(superposition,[],[f3,f287]) ).

fof(f314,plain,
    ( sk_c12 = inverse(identity)
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f313,plain,
    ( spl0_37
  <=> sk_c12 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1318,plain,
    ( ! [X3] :
        ( sk_c12 != multiply(inverse(X3),sk_c12)
        | sk_c12 != multiply(X3,inverse(X3)) )
    | ~ spl0_17
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f195,f262]) ).

fof(f195,plain,
    ( ! [X3] :
        ( sk_c12 != multiply(inverse(X3),sk_c11)
        | sk_c12 != multiply(X3,inverse(X3)) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f194,plain,
    ( spl0_17
  <=> ! [X3] :
        ( sk_c12 != multiply(inverse(X3),sk_c11)
        | sk_c12 != multiply(X3,inverse(X3)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f1315,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1314]) ).

fof(f1314,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1312]) ).

fof(f1312,plain,
    ( sk_c12 != sk_c12
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f1297,f1101]) ).

fof(f1297,plain,
    ( sk_c12 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_19
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1296,f1047]) ).

fof(f1296,plain,
    ( sk_c12 != inverse(identity)
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f1266]) ).

fof(f1266,plain,
    ( sk_c12 != sk_c12
    | sk_c12 != inverse(identity)
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(superposition,[],[f1103,f1]) ).

fof(f1103,plain,
    ( ! [X9] :
        ( sk_c12 != multiply(X9,sk_c12)
        | sk_c12 != inverse(X9) )
    | ~ spl0_19
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f201,f262]) ).

fof(f201,plain,
    ( ! [X9] :
        ( sk_c12 != multiply(X9,sk_c11)
        | sk_c12 != inverse(X9) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f200]) ).

fof(f200,plain,
    ( spl0_19
  <=> ! [X9] :
        ( sk_c12 != multiply(X9,sk_c11)
        | sk_c12 != inverse(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1112,plain,
    ( ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1111]) ).

fof(f1111,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1110]) ).

fof(f1110,plain,
    ( sk_c12 != sk_c12
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(superposition,[],[f1105,f492]) ).

fof(f1105,plain,
    ( sk_c12 != multiply(sk_c1,sk_c12)
    | ~ spl0_1
    | ~ spl0_5
    | spl0_6
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1104,f1069]) ).

fof(f1069,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(forward_demodulation,[],[f1049,f1047]) ).

fof(f1049,plain,
    ( identity = sk_c7
    | ~ spl0_1
    | ~ spl0_5
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | ~ spl0_43 ),
    inference(superposition,[],[f1022,f318]) ).

fof(f318,plain,
    ( identity = multiply(sk_c12,sk_c7)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f91]) ).

fof(f91,plain,
    ( sk_c12 = inverse(sk_c7)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f89]) ).

fof(f89,plain,
    ( spl0_5
  <=> sk_c12 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1104,plain,
    ( sk_c12 != multiply(sk_c7,sk_c12)
    | spl0_6
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f95,f262]) ).

fof(f95,plain,
    ( sk_c12 != multiply(sk_c7,sk_c11)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl0_6
  <=> sk_c12 = multiply(sk_c7,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1100,plain,
    ( ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | spl0_37
    | ~ spl0_43 ),
    inference(avatar_contradiction_clause,[],[f1099]) ).

fof(f1099,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | spl0_37
    | ~ spl0_43 ),
    inference(trivial_inequality_removal,[],[f1098]) ).

fof(f1098,plain,
    ( sk_c12 != sk_c12
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f1097,f490]) ).

fof(f1097,plain,
    ( sk_c2 != sk_c12
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f1077,f126]) ).

fof(f1077,plain,
    ( sk_c12 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_31
    | ~ spl0_34
    | spl0_37
    | ~ spl0_43 ),
    inference(superposition,[],[f315,f1047]) ).

fof(f315,plain,
    ( sk_c12 != inverse(identity)
    | spl0_37 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f830,plain,
    ( spl0_44
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f814,f261,f180,f166,f109,f104,f99,f706]) ).

fof(f706,plain,
    ( spl0_44
  <=> sk_c12 = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f99,plain,
    ( spl0_7
  <=> sk_c11 = multiply(sk_c8,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f104,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f109,plain,
    ( spl0_9
  <=> sk_c11 = multiply(sk_c9,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f166,plain,
    ( spl0_15
  <=> sk_c4 = multiply(sk_c3,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f814,plain,
    ( sk_c12 = sk_c4
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_15
    | ~ spl0_16
    | ~ spl0_31 ),
    inference(superposition,[],[f505,f782]) ).

fof(f782,plain,
    ( ! [X0] : multiply(sk_c12,X0) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(superposition,[],[f484,f768]) ).

fof(f768,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f767,f484]) ).

fof(f767,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c12,multiply(sk_c8,X0))
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f759,f262]) ).

fof(f759,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c11,multiply(sk_c8,X0))
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f364,f420]) ).

fof(f420,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c8,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f419,f1]) ).

fof(f419,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f418]) ).

fof(f418,plain,
    ( identity = multiply(sk_c9,sk_c8)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f106]) ).

fof(f106,plain,
    ( sk_c9 = inverse(sk_c8)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f364,plain,
    ( ! [X0] : multiply(sk_c11,X0) = multiply(sk_c8,multiply(sk_c9,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f101]) ).

fof(f101,plain,
    ( sk_c11 = multiply(sk_c8,sk_c9)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f484,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c8,X0)) = X0
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(superposition,[],[f420,f479]) ).

fof(f479,plain,
    ( sk_c12 = sk_c9
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f478,f262]) ).

fof(f478,plain,
    ( sk_c11 = sk_c9
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f477,f111]) ).

fof(f111,plain,
    ( sk_c11 = multiply(sk_c9,sk_c12)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f477,plain,
    ( sk_c9 = multiply(sk_c9,sk_c12)
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_31 ),
    inference(superposition,[],[f430,f262]) ).

fof(f430,plain,
    ( sk_c9 = multiply(sk_c9,sk_c11)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f420,f101]) ).

fof(f505,plain,
    ( sk_c12 = multiply(sk_c12,sk_c4)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f373,f168]) ).

fof(f168,plain,
    ( sk_c4 = multiply(sk_c3,sk_c12)
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f166]) ).

fof(f711,plain,
    ( ~ spl0_37
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f685,f261,f206,f313]) ).

fof(f206,plain,
    ( spl0_21
  <=> ! [X12] :
        ( sk_c11 != multiply(X12,sk_c12)
        | sk_c11 != inverse(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f685,plain,
    ( sk_c12 != inverse(identity)
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(trivial_inequality_removal,[],[f661]) ).

fof(f661,plain,
    ( sk_c12 != sk_c12
    | sk_c12 != inverse(identity)
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(superposition,[],[f468,f1]) ).

fof(f468,plain,
    ( ! [X12] :
        ( sk_c12 != multiply(X12,sk_c12)
        | sk_c12 != inverse(X12) )
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f467,f262]) ).

fof(f467,plain,
    ( ! [X12] :
        ( sk_c12 != multiply(X12,sk_c12)
        | sk_c11 != inverse(X12) )
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f207,f262]) ).

fof(f207,plain,
    ( ! [X12] :
        ( sk_c11 != multiply(X12,sk_c12)
        | sk_c11 != inverse(X12) )
    | ~ spl0_21 ),
    inference(avatar_component_clause,[],[f206]) ).

fof(f709,plain,
    ( ~ spl0_16
    | ~ spl0_44
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f675,f261,f206,f166,f706,f180]) ).

fof(f675,plain,
    ( sk_c12 != sk_c4
    | sk_c12 != inverse(sk_c3)
    | ~ spl0_15
    | ~ spl0_21
    | ~ spl0_31 ),
    inference(superposition,[],[f468,f168]) ).

fof(f511,plain,
    ( ~ spl0_31
    | ~ spl0_22
    | spl0_33 ),
    inference(avatar_split_clause,[],[f508,f282,f217,f261]) ).

fof(f217,plain,
    ( spl0_22
  <=> sk_c12 = multiply(sk_c7,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f282,plain,
    ( spl0_33
  <=> sk_c11 = multiply(sk_c7,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f508,plain,
    ( sk_c12 != sk_c11
    | ~ spl0_22
    | spl0_33 ),
    inference(superposition,[],[f284,f218]) ).

fof(f218,plain,
    ( sk_c12 = multiply(sk_c7,sk_c12)
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f217]) ).

fof(f284,plain,
    ( sk_c11 != multiply(sk_c7,sk_c12)
    | spl0_33 ),
    inference(avatar_component_clause,[],[f282]) ).

fof(f462,plain,
    ( ~ spl0_30
    | spl0_23
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f461,f261,f221,f257]) ).

fof(f257,plain,
    ( spl0_30
  <=> sk_c12 = multiply(sk_c12,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f221,plain,
    ( spl0_23
  <=> sk_c12 = multiply(sk_c12,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f461,plain,
    ( sk_c12 != multiply(sk_c12,sk_c12)
    | spl0_23
    | ~ spl0_31 ),
    inference(forward_demodulation,[],[f223,f262]) ).

fof(f223,plain,
    ( sk_c12 != multiply(sk_c12,sk_c11)
    | spl0_23 ),
    inference(avatar_component_clause,[],[f221]) ).

fof(f456,plain,
    ( spl0_31
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f455,f286,f79,f74,f261]) ).

fof(f74,plain,
    ( spl0_2
  <=> sk_c12 = multiply(sk_c5,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f79,plain,
    ( spl0_3
  <=> sk_c6 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f455,plain,
    ( sk_c12 = sk_c11
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f454,f76]) ).

fof(f76,plain,
    ( sk_c12 = multiply(sk_c5,sk_c6)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f74]) ).

fof(f454,plain,
    ( multiply(sk_c5,sk_c6) = sk_c11
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_34 ),
    inference(forward_demodulation,[],[f449,f287]) ).

fof(f449,plain,
    ( multiply(sk_c5,sk_c6) = multiply(sk_c12,sk_c12)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f359,f421]) ).

fof(f421,plain,
    ( sk_c6 = multiply(sk_c6,sk_c12)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f374,f76]) ).

fof(f374,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c5,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f361,f1]) ).

fof(f361,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c5,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f317]) ).

fof(f317,plain,
    ( identity = multiply(sk_c6,sk_c5)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f81]) ).

fof(f81,plain,
    ( sk_c6 = inverse(sk_c5)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f79]) ).

fof(f359,plain,
    ( ! [X0] : multiply(sk_c12,X0) = multiply(sk_c5,multiply(sk_c6,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f76]) ).

fof(f416,plain,
    ( spl0_22
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f413,f261,f94,f217]) ).

fof(f413,plain,
    ( sk_c12 = multiply(sk_c7,sk_c12)
    | ~ spl0_6
    | ~ spl0_31 ),
    inference(superposition,[],[f96,f262]) ).

fof(f96,plain,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f415,plain,
    ( spl0_43
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f412,f261,f138,f406]) ).

fof(f412,plain,
    ( sk_c12 = multiply(sk_c2,sk_c12)
    | ~ spl0_13
    | ~ spl0_31 ),
    inference(superposition,[],[f140,f262]) ).

fof(f409,plain,
    ( ~ spl0_43
    | ~ spl0_31
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f404,f203,f124,f70,f261,f406]) ).

fof(f203,plain,
    ( spl0_20
  <=> ! [X10] :
        ( sk_c11 != multiply(inverse(X10),sk_c12)
        | sk_c11 != multiply(X10,inverse(X10)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f404,plain,
    ( sk_c12 != sk_c11
    | sk_c12 != multiply(sk_c2,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(inner_rewriting,[],[f339]) ).

fof(f339,plain,
    ( sk_c12 != sk_c11
    | sk_c11 != multiply(sk_c2,sk_c12)
    | ~ spl0_1
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f333,f72]) ).

fof(f333,plain,
    ( sk_c11 != multiply(sk_c2,sk_c12)
    | multiply(sk_c1,sk_c2) != sk_c11
    | ~ spl0_12
    | ~ spl0_20 ),
    inference(superposition,[],[f204,f126]) ).

fof(f204,plain,
    ( ! [X10] :
        ( sk_c11 != multiply(inverse(X10),sk_c12)
        | sk_c11 != multiply(X10,inverse(X10)) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f401,plain,
    ( ~ spl0_31
    | spl0_30
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f390,f286,f257,f261]) ).

fof(f390,plain,
    ( sk_c12 != sk_c11
    | spl0_30
    | ~ spl0_34 ),
    inference(superposition,[],[f259,f287]) ).

fof(f259,plain,
    ( sk_c12 != multiply(sk_c12,sk_c12)
    | spl0_30 ),
    inference(avatar_component_clause,[],[f257]) ).

fof(f400,plain,
    ( spl0_31
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f397,f180,f166,f152,f261]) ).

fof(f152,plain,
    ( spl0_14
  <=> sk_c11 = multiply(sk_c12,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f397,plain,
    ( sk_c12 = sk_c11
    | ~ spl0_14
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f154,f393]) ).

fof(f393,plain,
    ( sk_c12 = multiply(sk_c12,sk_c4)
    | ~ spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f373,f168]) ).

fof(f154,plain,
    ( sk_c11 = multiply(sk_c12,sk_c4)
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f152]) ).

fof(f389,plain,
    ( ~ spl0_33
    | ~ spl0_34
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f335,f203,f89,f286,f282]) ).

fof(f335,plain,
    ( sk_c11 != multiply(sk_c12,sk_c12)
    | sk_c11 != multiply(sk_c7,sk_c12)
    | ~ spl0_5
    | ~ spl0_20 ),
    inference(superposition,[],[f204,f91]) ).

fof(f382,plain,
    ( spl0_34
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f380,f94,f89,f286]) ).

fof(f380,plain,
    ( sk_c11 = multiply(sk_c12,sk_c12)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f372,f96]) ).

fof(f372,plain,
    ( ! [X0] : multiply(sk_c12,multiply(sk_c7,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f357,f1]) ).

fof(f357,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c12,multiply(sk_c7,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f318]) ).

fof(f316,plain,
    ( ~ spl0_37
    | ~ spl0_34
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f311,f197,f286,f313]) ).

fof(f197,plain,
    ( spl0_18
  <=> ! [X6] :
        ( sk_c12 != inverse(X6)
        | sk_c11 != multiply(sk_c12,multiply(X6,sk_c12)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f311,plain,
    ( sk_c11 != multiply(sk_c12,sk_c12)
    | sk_c12 != inverse(identity)
    | ~ spl0_18 ),
    inference(superposition,[],[f198,f1]) ).

fof(f198,plain,
    ( ! [X6] :
        ( sk_c11 != multiply(sk_c12,multiply(X6,sk_c12))
        | sk_c12 != inverse(X6) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f197]) ).

fof(f306,plain,
    ( ~ spl0_10
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(avatar_split_clause,[],[f304,f206,f119,f114]) ).

fof(f114,plain,
    ( spl0_10
  <=> sk_c11 = inverse(sk_c10) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f119,plain,
    ( spl0_11
  <=> sk_c11 = multiply(sk_c10,sk_c12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f304,plain,
    ( sk_c11 != inverse(sk_c10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(trivial_inequality_removal,[],[f303]) ).

fof(f303,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != inverse(sk_c10)
    | ~ spl0_11
    | ~ spl0_21 ),
    inference(superposition,[],[f207,f121]) ).

fof(f121,plain,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f292,plain,
    ( ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f291,f203,f109,f104,f99]) ).

fof(f291,plain,
    ( sk_c11 != multiply(sk_c8,sk_c9)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f290]) ).

fof(f290,plain,
    ( sk_c11 != sk_c11
    | sk_c11 != multiply(sk_c8,sk_c9)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f272,f111]) ).

fof(f272,plain,
    ( sk_c11 != multiply(sk_c9,sk_c12)
    | sk_c11 != multiply(sk_c8,sk_c9)
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f204,f106]) ).

fof(f269,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f267,f200,f94,f89]) ).

fof(f267,plain,
    ( sk_c12 != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(trivial_inequality_removal,[],[f266]) ).

fof(f266,plain,
    ( sk_c12 != sk_c12
    | sk_c12 != inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(superposition,[],[f201,f96]) ).

fof(f264,plain,
    ( ~ spl0_30
    | ~ spl0_31
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f255,f197,f119,f114,f261,f257]) ).

fof(f255,plain,
    ( sk_c12 != sk_c11
    | sk_c12 != multiply(sk_c12,sk_c12)
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(inner_rewriting,[],[f254]) ).

fof(f254,plain,
    ( sk_c12 != sk_c11
    | sk_c11 != multiply(sk_c12,sk_c11)
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f244,f116]) ).

fof(f116,plain,
    ( sk_c11 = inverse(sk_c10)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f244,plain,
    ( sk_c11 != multiply(sk_c12,sk_c11)
    | sk_c12 != inverse(sk_c10)
    | ~ spl0_11
    | ~ spl0_18 ),
    inference(superposition,[],[f198,f121]) ).

fof(f224,plain,
    ( ~ spl0_22
    | ~ spl0_23
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f210,f194,f89,f221,f217]) ).

fof(f210,plain,
    ( sk_c12 != multiply(sk_c12,sk_c11)
    | sk_c12 != multiply(sk_c7,sk_c12)
    | ~ spl0_5
    | ~ spl0_17 ),
    inference(superposition,[],[f195,f91]) ).

fof(f215,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f214,f194,f84,f79,f74]) ).

fof(f84,plain,
    ( spl0_4
  <=> sk_c12 = multiply(sk_c6,sk_c11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f214,plain,
    ( sk_c12 != multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(trivial_inequality_removal,[],[f213]) ).

fof(f213,plain,
    ( sk_c12 != sk_c12
    | sk_c12 != multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_17 ),
    inference(forward_demodulation,[],[f209,f86]) ).

fof(f86,plain,
    ( sk_c12 = multiply(sk_c6,sk_c11)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f84]) ).

fof(f209,plain,
    ( sk_c12 != multiply(sk_c6,sk_c11)
    | sk_c12 != multiply(sk_c5,sk_c6)
    | ~ spl0_3
    | ~ spl0_17 ),
    inference(superposition,[],[f195,f81]) ).

fof(f208,plain,
    ( spl0_17
    | spl0_18
    | spl0_17
    | spl0_19
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f68,f206,f203,f200,f194,f197,f194]) ).

fof(f68,plain,
    ! [X3,X10,X6,X9,X7,X12] :
      ( sk_c11 != multiply(X12,sk_c12)
      | sk_c11 != inverse(X12)
      | sk_c11 != multiply(inverse(X10),sk_c12)
      | sk_c11 != multiply(X10,inverse(X10))
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c12 != inverse(X9)
      | sk_c12 != multiply(inverse(X7),sk_c11)
      | sk_c12 != multiply(X7,inverse(X7))
      | sk_c12 != inverse(X6)
      | sk_c11 != multiply(sk_c12,multiply(X6,sk_c12))
      | sk_c12 != multiply(inverse(X3),sk_c11)
      | sk_c12 != multiply(X3,inverse(X3)) ),
    inference(equality_resolution,[],[f67]) ).

fof(f67,plain,
    ! [X3,X10,X6,X9,X7,X4,X12] :
      ( sk_c11 != multiply(X12,sk_c12)
      | sk_c11 != inverse(X12)
      | sk_c11 != multiply(inverse(X10),sk_c12)
      | sk_c11 != multiply(X10,inverse(X10))
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c12 != inverse(X9)
      | sk_c12 != multiply(inverse(X7),sk_c11)
      | sk_c12 != multiply(X7,inverse(X7))
      | sk_c12 != inverse(X6)
      | sk_c11 != multiply(sk_c12,multiply(X6,sk_c12))
      | sk_c12 != multiply(X4,sk_c11)
      | inverse(X3) != X4
      | sk_c12 != multiply(X3,X4) ),
    inference(equality_resolution,[],[f66]) ).

fof(f66,plain,
    ! [X3,X10,X6,X9,X7,X4,X5,X12] :
      ( sk_c11 != multiply(X12,sk_c12)
      | sk_c11 != inverse(X12)
      | sk_c11 != multiply(inverse(X10),sk_c12)
      | sk_c11 != multiply(X10,inverse(X10))
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c12 != inverse(X9)
      | sk_c12 != multiply(inverse(X7),sk_c11)
      | sk_c12 != multiply(X7,inverse(X7))
      | sk_c12 != inverse(X6)
      | multiply(X6,sk_c12) != X5
      | sk_c11 != multiply(sk_c12,X5)
      | sk_c12 != multiply(X4,sk_c11)
      | inverse(X3) != X4
      | sk_c12 != multiply(X3,X4) ),
    inference(equality_resolution,[],[f65]) ).

fof(f65,plain,
    ! [X3,X10,X8,X6,X9,X7,X4,X5,X12] :
      ( sk_c11 != multiply(X12,sk_c12)
      | sk_c11 != inverse(X12)
      | sk_c11 != multiply(inverse(X10),sk_c12)
      | sk_c11 != multiply(X10,inverse(X10))
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c12 != inverse(X9)
      | sk_c12 != multiply(X8,sk_c11)
      | inverse(X7) != X8
      | sk_c12 != multiply(X7,X8)
      | sk_c12 != inverse(X6)
      | multiply(X6,sk_c12) != X5
      | sk_c11 != multiply(sk_c12,X5)
      | sk_c12 != multiply(X4,sk_c11)
      | inverse(X3) != X4
      | sk_c12 != multiply(X3,X4) ),
    inference(equality_resolution,[],[f64]) ).

fof(f64,axiom,
    ! [X3,X10,X11,X8,X6,X9,X7,X4,X5,X12] :
      ( sk_c11 != multiply(X12,sk_c12)
      | sk_c11 != inverse(X12)
      | sk_c11 != multiply(X11,sk_c12)
      | inverse(X10) != X11
      | sk_c11 != multiply(X10,X11)
      | sk_c12 != multiply(X9,sk_c11)
      | sk_c12 != inverse(X9)
      | sk_c12 != multiply(X8,sk_c11)
      | inverse(X7) != X8
      | sk_c12 != multiply(X7,X8)
      | sk_c12 != inverse(X6)
      | multiply(X6,sk_c12) != X5
      | sk_c11 != multiply(sk_c12,X5)
      | sk_c12 != multiply(X4,sk_c11)
      | inverse(X3) != X4
      | sk_c12 != multiply(X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_61) ).

fof(f192,plain,
    ( spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f63,f119,f180]) ).

fof(f63,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_60) ).

fof(f191,plain,
    ( spl0_16
    | spl0_10 ),
    inference(avatar_split_clause,[],[f62,f114,f180]) ).

fof(f62,axiom,
    ( sk_c11 = inverse(sk_c10)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_59) ).

fof(f190,plain,
    ( spl0_16
    | spl0_9 ),
    inference(avatar_split_clause,[],[f61,f109,f180]) ).

fof(f61,axiom,
    ( sk_c11 = multiply(sk_c9,sk_c12)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_58) ).

fof(f189,plain,
    ( spl0_16
    | spl0_8 ),
    inference(avatar_split_clause,[],[f60,f104,f180]) ).

fof(f60,axiom,
    ( sk_c9 = inverse(sk_c8)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_57) ).

fof(f188,plain,
    ( spl0_16
    | spl0_7 ),
    inference(avatar_split_clause,[],[f59,f99,f180]) ).

fof(f59,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c9)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_56) ).

fof(f187,plain,
    ( spl0_16
    | spl0_6 ),
    inference(avatar_split_clause,[],[f58,f94,f180]) ).

fof(f58,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_55) ).

fof(f186,plain,
    ( spl0_16
    | spl0_5 ),
    inference(avatar_split_clause,[],[f57,f89,f180]) ).

fof(f57,axiom,
    ( sk_c12 = inverse(sk_c7)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_54) ).

fof(f185,plain,
    ( spl0_16
    | spl0_4 ),
    inference(avatar_split_clause,[],[f56,f84,f180]) ).

fof(f56,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c11)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_53) ).

fof(f184,plain,
    ( spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f55,f79,f180]) ).

fof(f55,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_52) ).

fof(f183,plain,
    ( spl0_16
    | spl0_2 ),
    inference(avatar_split_clause,[],[f54,f74,f180]) ).

fof(f54,axiom,
    ( sk_c12 = multiply(sk_c5,sk_c6)
    | sk_c12 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_51) ).

fof(f178,plain,
    ( spl0_15
    | spl0_11 ),
    inference(avatar_split_clause,[],[f53,f119,f166]) ).

fof(f53,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_50) ).

fof(f177,plain,
    ( spl0_15
    | spl0_10 ),
    inference(avatar_split_clause,[],[f52,f114,f166]) ).

fof(f52,axiom,
    ( sk_c11 = inverse(sk_c10)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_49) ).

fof(f176,plain,
    ( spl0_15
    | spl0_9 ),
    inference(avatar_split_clause,[],[f51,f109,f166]) ).

fof(f51,axiom,
    ( sk_c11 = multiply(sk_c9,sk_c12)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_48) ).

fof(f175,plain,
    ( spl0_15
    | spl0_8 ),
    inference(avatar_split_clause,[],[f50,f104,f166]) ).

fof(f50,axiom,
    ( sk_c9 = inverse(sk_c8)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_47) ).

fof(f174,plain,
    ( spl0_15
    | spl0_7 ),
    inference(avatar_split_clause,[],[f49,f99,f166]) ).

fof(f49,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c9)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_46) ).

fof(f173,plain,
    ( spl0_15
    | spl0_6 ),
    inference(avatar_split_clause,[],[f48,f94,f166]) ).

fof(f48,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_45) ).

fof(f172,plain,
    ( spl0_15
    | spl0_5 ),
    inference(avatar_split_clause,[],[f47,f89,f166]) ).

fof(f47,axiom,
    ( sk_c12 = inverse(sk_c7)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_44) ).

fof(f171,plain,
    ( spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f46,f84,f166]) ).

fof(f46,axiom,
    ( sk_c12 = multiply(sk_c6,sk_c11)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_43) ).

fof(f170,plain,
    ( spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f45,f79,f166]) ).

fof(f45,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_42) ).

fof(f169,plain,
    ( spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f44,f74,f166]) ).

fof(f44,axiom,
    ( sk_c12 = multiply(sk_c5,sk_c6)
    | sk_c4 = multiply(sk_c3,sk_c12) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_41) ).

fof(f159,plain,
    ( spl0_14
    | spl0_6 ),
    inference(avatar_split_clause,[],[f38,f94,f152]) ).

fof(f38,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | sk_c11 = multiply(sk_c12,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_35) ).

fof(f158,plain,
    ( spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f37,f89,f152]) ).

fof(f37,axiom,
    ( sk_c12 = inverse(sk_c7)
    | sk_c11 = multiply(sk_c12,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_34) ).

fof(f156,plain,
    ( spl0_14
    | spl0_3 ),
    inference(avatar_split_clause,[],[f35,f79,f152]) ).

fof(f35,axiom,
    ( sk_c6 = inverse(sk_c5)
    | sk_c11 = multiply(sk_c12,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_32) ).

fof(f155,plain,
    ( spl0_14
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f74,f152]) ).

fof(f34,axiom,
    ( sk_c12 = multiply(sk_c5,sk_c6)
    | sk_c11 = multiply(sk_c12,sk_c4) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_31) ).

fof(f150,plain,
    ( spl0_13
    | spl0_11 ),
    inference(avatar_split_clause,[],[f33,f119,f138]) ).

fof(f33,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_30) ).

fof(f149,plain,
    ( spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f32,f114,f138]) ).

fof(f32,axiom,
    ( sk_c11 = inverse(sk_c10)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_29) ).

fof(f148,plain,
    ( spl0_13
    | spl0_9 ),
    inference(avatar_split_clause,[],[f31,f109,f138]) ).

fof(f31,axiom,
    ( sk_c11 = multiply(sk_c9,sk_c12)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_28) ).

fof(f147,plain,
    ( spl0_13
    | spl0_8 ),
    inference(avatar_split_clause,[],[f30,f104,f138]) ).

fof(f30,axiom,
    ( sk_c9 = inverse(sk_c8)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_27) ).

fof(f146,plain,
    ( spl0_13
    | spl0_7 ),
    inference(avatar_split_clause,[],[f29,f99,f138]) ).

fof(f29,axiom,
    ( sk_c11 = multiply(sk_c8,sk_c9)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_26) ).

fof(f145,plain,
    ( spl0_13
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f94,f138]) ).

fof(f28,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_25) ).

fof(f144,plain,
    ( spl0_13
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f89,f138]) ).

fof(f27,axiom,
    ( sk_c12 = inverse(sk_c7)
    | sk_c12 = multiply(sk_c2,sk_c11) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_24) ).

fof(f136,plain,
    ( spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f23,f119,f124]) ).

fof(f23,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_20) ).

fof(f135,plain,
    ( spl0_12
    | spl0_10 ),
    inference(avatar_split_clause,[],[f22,f114,f124]) ).

fof(f22,axiom,
    ( sk_c11 = inverse(sk_c10)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_19) ).

fof(f131,plain,
    ( spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f94,f124]) ).

fof(f18,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_15) ).

fof(f130,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f89,f124]) ).

fof(f17,axiom,
    ( sk_c12 = inverse(sk_c7)
    | sk_c2 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_14) ).

fof(f122,plain,
    ( spl0_1
    | spl0_11 ),
    inference(avatar_split_clause,[],[f13,f119,f70]) ).

fof(f13,axiom,
    ( sk_c11 = multiply(sk_c10,sk_c12)
    | multiply(sk_c1,sk_c2) = sk_c12 ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_10) ).

fof(f117,plain,
    ( spl0_1
    | spl0_10 ),
    inference(avatar_split_clause,[],[f12,f114,f70]) ).

fof(f12,axiom,
    ( sk_c11 = inverse(sk_c10)
    | multiply(sk_c1,sk_c2) = sk_c12 ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_9) ).

fof(f97,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f94,f70]) ).

fof(f8,axiom,
    ( sk_c12 = multiply(sk_c7,sk_c11)
    | multiply(sk_c1,sk_c2) = sk_c12 ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_5) ).

fof(f92,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f89,f70]) ).

fof(f7,axiom,
    ( sk_c12 = inverse(sk_c7)
    | multiply(sk_c1,sk_c2) = sk_c12 ),
    file('/export/starexec/sandbox/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706',prove_this_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP208-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15  % 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
% 0.16/0.37  % Computer : n029.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 18:44:35 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37  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/tmp/tmp.4bUJtmmFZj/Vampire---4.8_26706
% 0.56/0.76  % (26964)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.56/0.76  % (26957)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.76  % (26959)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (26960)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76  % (26958)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 Vampire---4 for (2996ds/51Mi)
% 0.56/0.76  % (26961)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 Vampire---4 for (2996ds/34Mi)
% 0.56/0.76  % (26963)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 Vampire---4 for (2996ds/83Mi)
% 0.56/0.76  % (26964)Refutation not found, incomplete strategy% (26964)------------------------------
% 0.56/0.76  % (26964)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (26964)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26964)Memory used [KB]: 1091
% 0.56/0.76  % (26964)Time elapsed: 0.003 s
% 0.56/0.76  % (26964)Instructions burned: 5 (million)
% 0.56/0.76  % (26964)------------------------------
% 0.56/0.76  % (26964)------------------------------
% 0.56/0.76  % (26962)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (26957)Refutation not found, incomplete strategy% (26957)------------------------------
% 0.56/0.76  % (26957)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (26960)Refutation not found, incomplete strategy% (26960)------------------------------
% 0.56/0.76  % (26960)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (26960)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26960)Memory used [KB]: 1085
% 0.56/0.76  % (26960)Time elapsed: 0.004 s
% 0.56/0.76  % (26960)Instructions burned: 5 (million)
% 0.56/0.76  % (26960)------------------------------
% 0.56/0.76  % (26960)------------------------------
% 0.56/0.76  % (26957)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26957)Memory used [KB]: 1107
% 0.56/0.76  % (26957)Time elapsed: 0.004 s
% 0.56/0.76  % (26957)Instructions burned: 6 (million)
% 0.56/0.76  % (26957)------------------------------
% 0.56/0.76  % (26957)------------------------------
% 0.56/0.76  % (26961)Refutation not found, incomplete strategy% (26961)------------------------------
% 0.56/0.76  % (26961)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.56/0.76  % (26961)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26961)Memory used [KB]: 1108
% 0.56/0.76  % (26961)Time elapsed: 0.004 s
% 0.56/0.76  % (26961)Instructions burned: 6 (million)
% 0.56/0.76  % (26961)------------------------------
% 0.56/0.76  % (26961)------------------------------
% 0.56/0.76  % (26965)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 Vampire---4 for (2996ds/55Mi)
% 0.56/0.77  % (26967)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/208Mi)
% 0.56/0.77  % (26968)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 Vampire---4 for (2996ds/52Mi)
% 0.62/0.77  % (26966)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 Vampire---4 for (2996ds/50Mi)
% 0.62/0.78  % (26966)Refutation not found, incomplete strategy% (26966)------------------------------
% 0.62/0.78  % (26966)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (26966)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.78  
% 0.62/0.78  % (26966)Memory used [KB]: 1077
% 0.62/0.78  % (26966)Time elapsed: 0.007 s
% 0.62/0.78  % (26966)Instructions burned: 12 (million)
% 0.62/0.78  % (26966)------------------------------
% 0.62/0.78  % (26966)------------------------------
% 0.62/0.78  % (26965)Instruction limit reached!
% 0.62/0.78  % (26965)------------------------------
% 0.62/0.78  % (26965)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (26965)Termination reason: Unknown
% 0.62/0.78  % (26965)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (26965)Memory used [KB]: 1733
% 0.62/0.78  % (26965)Time elapsed: 0.018 s
% 0.62/0.78  % (26965)Instructions burned: 58 (million)
% 0.62/0.78  % (26965)------------------------------
% 0.62/0.78  % (26965)------------------------------
% 0.62/0.78  % (26970)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 Vampire---4 for (2995ds/42Mi)
% 0.62/0.78  % (26962)Instruction limit reached!
% 0.62/0.78  % (26962)------------------------------
% 0.62/0.78  % (26962)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.78  % (26962)Termination reason: Unknown
% 0.62/0.78  % (26962)Termination phase: Saturation
% 0.62/0.78  
% 0.62/0.78  % (26962)Memory used [KB]: 1575
% 0.62/0.78  % (26962)Time elapsed: 0.026 s
% 0.62/0.78  % (26962)Instructions burned: 45 (million)
% 0.62/0.78  % (26962)------------------------------
% 0.62/0.78  % (26962)------------------------------
% 0.62/0.79  % (26970)Refutation not found, incomplete strategy% (26970)------------------------------
% 0.62/0.79  % (26970)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (26970)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (26970)Memory used [KB]: 1108
% 0.62/0.79  % (26970)Time elapsed: 0.002 s
% 0.62/0.79  % (26970)Instructions burned: 5 (million)
% 0.62/0.79  % (26970)------------------------------
% 0.62/0.79  % (26970)------------------------------
% 0.62/0.79  % (26958)First to succeed.
% 0.62/0.79  % (26969)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 Vampire---4 for (2995ds/518Mi)
% 0.62/0.79  % (26971)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 Vampire---4 for (2995ds/243Mi)
% 0.62/0.79  % (26958)Refutation found. Thanks to Tanya!
% 0.62/0.79  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.79  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.79  % (26958)------------------------------
% 0.62/0.79  % (26958)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (26958)Termination reason: Refutation
% 0.62/0.79  
% 0.62/0.79  % (26958)Memory used [KB]: 1538
% 0.62/0.79  % (26958)Time elapsed: 0.032 s
% 0.62/0.79  % (26958)Instructions burned: 54 (million)
% 0.62/0.79  % (26958)------------------------------
% 0.62/0.79  % (26958)------------------------------
% 0.62/0.79  % (26953)Success in time 0.414 s
% 0.62/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------