TSTP Solution File: GRP387-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP387-1 : 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 21:08:23 EDT 2024

% Result   : Unsatisfiable 0.73s 0.77s
% Output   : Refutation 0.73s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   98
% Syntax   : Number of formulae    :  256 (  11 unt;   0 def)
%            Number of atoms       :  717 ( 347 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  866 ( 405   ~; 410   |;   0   &)
%                                         (  51 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   55 (  53 usr;  52 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1849,plain,
    $false,
    inference(avatar_sat_refutation,[],[f48,f53,f58,f63,f78,f79,f88,f89,f90,f91,f92,f93,f98,f99,f108,f109,f118,f123,f144,f146,f156,f177,f192,f201,f222,f233,f293,f298,f303,f308,f339,f360,f365,f381,f387,f431,f443,f461,f502,f518,f532,f544,f576,f586,f592,f745,f806,f826,f844,f850,f929,f1025,f1040,f1065,f1079,f1092,f1113,f1197,f1330,f1350,f1354,f1355,f1356,f1357,f1367,f1379,f1380,f1395,f1648,f1713,f1730,f1739,f1753,f1802,f1806,f1809,f1814,f1824,f1848]) ).

fof(f1848,plain,
    ( spl2_32
    | ~ spl2_69 ),
    inference(avatar_contradiction_clause,[],[f1847]) ).

fof(f1847,plain,
    ( $false
    | spl2_32
    | ~ spl2_69 ),
    inference(subsumption_resolution,[],[f1846,f227]) ).

fof(f227,plain,
    ( identity != sk_c6
    | spl2_32 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl2_32
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f1846,plain,
    ( identity = sk_c6
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f1844,f2]) ).

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

fof(f1844,plain,
    ( sk_c6 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl2_69 ),
    inference(superposition,[],[f251,f885]) ).

fof(f885,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f883]) ).

fof(f883,plain,
    ( spl2_69
  <=> sk_c7 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f251,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f238,f1]) ).

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

fof(f238,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f1824,plain,
    ( spl2_69
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f1823,f50,f45,f883]) ).

fof(f45,plain,
    ( spl2_2
  <=> sk_c6 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f50,plain,
    ( spl2_3
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f1823,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl2_2
    | ~ spl2_3 ),
    inference(forward_demodulation,[],[f1821,f52]) ).

fof(f52,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f1821,plain,
    ( sk_c7 = multiply(inverse(sk_c2),sk_c6)
    | ~ spl2_2 ),
    inference(superposition,[],[f251,f47]) ).

fof(f47,plain,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f1814,plain,
    ( spl2_22
    | ~ spl2_5 ),
    inference(avatar_split_clause,[],[f1813,f60,f163]) ).

fof(f163,plain,
    ( spl2_22
  <=> identity = multiply(sk_c6,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f60,plain,
    ( spl2_5
  <=> sk_c6 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f1813,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl2_5 ),
    inference(superposition,[],[f2,f62]) ).

fof(f62,plain,
    ( sk_c6 = inverse(sk_c3)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f1809,plain,
    ( sk_c3 != multiply(inverse(sk_c6),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c7 != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c6 != multiply(sk_c2,sk_c7)
    | sk_c7 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1806,plain,
    ( sk_c3 != multiply(inverse(sk_c6),identity)
    | sk_c2 != multiply(inverse(sk_c7),identity)
    | sk_c7 != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c6 != multiply(sk_c2,sk_c7)
    | sk_c5 = multiply(sk_c6,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1802,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | sk_c7 != inverse(sk_c3)
    | sk_c6 != inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1753,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c6 != multiply(sk_c6,sk_c6)
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1739,plain,
    ( sk_c7 != multiply(sk_c7,sk_c6)
    | sk_c6 != multiply(sk_c7,sk_c6)
    | sk_c7 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1730,plain,
    ( spl2_49
    | ~ spl2_98 ),
    inference(avatar_contradiction_clause,[],[f1729]) ).

fof(f1729,plain,
    ( $false
    | spl2_49
    | ~ spl2_98 ),
    inference(subsumption_resolution,[],[f1728,f379]) ).

fof(f379,plain,
    ( identity != sk_c7
    | spl2_49 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f378,plain,
    ( spl2_49
  <=> identity = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f1728,plain,
    ( identity = sk_c7
    | ~ spl2_98 ),
    inference(forward_demodulation,[],[f1726,f2]) ).

fof(f1726,plain,
    ( sk_c7 = multiply(inverse(sk_c7),sk_c7)
    | ~ spl2_98 ),
    inference(superposition,[],[f251,f1673]) ).

fof(f1673,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_98 ),
    inference(avatar_component_clause,[],[f1671]) ).

fof(f1671,plain,
    ( spl2_98
  <=> sk_c7 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_98])]) ).

fof(f1713,plain,
    ( spl2_98
    | ~ spl2_30
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f1712,f883,f208,f1671]) ).

fof(f208,plain,
    ( spl2_30
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_30])]) ).

fof(f1712,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_30
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f885,f209]) ).

fof(f209,plain,
    ( sk_c7 = sk_c6
    | ~ spl2_30 ),
    inference(avatar_component_clause,[],[f208]) ).

fof(f1648,plain,
    ( spl2_95
    | ~ spl2_5
    | ~ spl2_30 ),
    inference(avatar_split_clause,[],[f1634,f208,f60,f1645]) ).

fof(f1645,plain,
    ( spl2_95
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_95])]) ).

fof(f1634,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl2_5
    | ~ spl2_30 ),
    inference(backward_demodulation,[],[f62,f209]) ).

fof(f1395,plain,
    ( identity != sk_c7
    | sk_c7 != sk_c5
    | identity = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1380,plain,
    ( sk_c6 != inverse(identity)
    | identity != sk_c3
    | identity != sk_c6
    | identity != multiply(sk_c6,sk_c3)
    | multiply(sk_c3,sk_c6) != sk_c5
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1379,plain,
    ( identity != sk_c6
    | sk_c6 != inverse(identity)
    | identity != sk_c3
    | identity != multiply(sk_c6,sk_c3)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1367,plain,
    ( sk_c6 != inverse(identity)
    | identity != sk_c3
    | identity != sk_c6
    | sk_c5 != inverse(sk_c4)
    | multiply(sk_c3,sk_c6) != sk_c5
    | identity != multiply(sk_c6,sk_c3)
    | identity = inverse(sk_c4) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1357,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | inverse(sk_c7) != sk_c6
    | sk_c6 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1356,plain,
    ( identity != multiply(sk_c6,sk_c7)
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | inverse(sk_c7) != sk_c6
    | sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != inverse(sk_c1)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | sk_c6 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1355,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | identity = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1354,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | sk_c7 = sk_c5 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1350,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | inverse(sk_c7) != sk_c6
    | sk_c7 != inverse(sk_c1)
    | sk_c7 = inverse(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1330,plain,
    ( sk_c5 != multiply(sk_c6,sk_c6)
    | sk_c7 != multiply(sk_c6,sk_c6)
    | identity != multiply(sk_c6,sk_c7)
    | inverse(sk_c7) != sk_c6
    | sk_c1 != multiply(sk_c6,identity)
    | sk_c7 != multiply(sk_c6,sk_c5)
    | sk_c7 != multiply(sk_c1,sk_c6)
    | sk_c7 = multiply(sk_c7,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1197,plain,
    ( identity != sk_c3
    | sk_c6 != inverse(sk_c3)
    | sk_c6 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1113,plain,
    ( sk_c7 != sk_c6
    | identity != multiply(sk_c6,sk_c7)
    | identity != sk_c7
    | sk_c7 = multiply(sk_c6,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1092,plain,
    ( sk_c7 != sk_c6
    | inverse(sk_c7) != sk_c6
    | identity != inverse(sk_c7)
    | identity != multiply(sk_c6,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1079,plain,
    ( sk_c7 != sk_c6
    | inverse(sk_c7) != sk_c6
    | sk_c6 = inverse(inverse(sk_c6)) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1065,plain,
    ( spl2_34
    | ~ spl2_10
    | ~ spl2_11 ),
    inference(avatar_split_clause,[],[f1064,f105,f95,f258]) ).

fof(f258,plain,
    ( spl2_34
  <=> sk_c6 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f95,plain,
    ( spl2_10
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f105,plain,
    ( spl2_11
  <=> sk_c7 = multiply(sk_c1,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f1064,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl2_10
    | ~ spl2_11 ),
    inference(forward_demodulation,[],[f1016,f97]) ).

fof(f97,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl2_10 ),
    inference(avatar_component_clause,[],[f95]) ).

fof(f1016,plain,
    ( sk_c6 = multiply(inverse(sk_c1),sk_c7)
    | ~ spl2_11 ),
    inference(superposition,[],[f251,f107]) ).

fof(f107,plain,
    ( sk_c7 = multiply(sk_c1,sk_c6)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f1040,plain,
    ( spl2_84
    | ~ spl2_22 ),
    inference(avatar_split_clause,[],[f1008,f163,f1037]) ).

fof(f1037,plain,
    ( spl2_84
  <=> sk_c3 = multiply(inverse(sk_c6),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).

fof(f1008,plain,
    ( sk_c3 = multiply(inverse(sk_c6),identity)
    | ~ spl2_22 ),
    inference(superposition,[],[f251,f165]) ).

fof(f165,plain,
    ( identity = multiply(sk_c6,sk_c3)
    | ~ spl2_22 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f1025,plain,
    ( spl2_81
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f1005,f158,f1022]) ).

fof(f1022,plain,
    ( spl2_81
  <=> sk_c2 = multiply(inverse(sk_c7),identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_81])]) ).

fof(f158,plain,
    ( spl2_21
  <=> identity = multiply(sk_c7,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f1005,plain,
    ( sk_c2 = multiply(inverse(sk_c7),identity)
    | ~ spl2_21 ),
    inference(superposition,[],[f251,f160]) ).

fof(f160,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl2_21 ),
    inference(avatar_component_clause,[],[f158]) ).

fof(f929,plain,
    ( spl2_73
    | ~ spl2_2
    | ~ spl2_69 ),
    inference(avatar_split_clause,[],[f924,f883,f45,f926]) ).

fof(f926,plain,
    ( spl2_73
  <=> sk_c6 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_73])]) ).

fof(f924,plain,
    ( sk_c6 = multiply(sk_c6,sk_c6)
    | ~ spl2_2
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f915,f47]) ).

fof(f915,plain,
    ( multiply(sk_c2,sk_c7) = multiply(sk_c6,sk_c6)
    | ~ spl2_2
    | ~ spl2_69 ),
    inference(superposition,[],[f856,f885]) ).

fof(f856,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c2,multiply(sk_c7,X0))
    | ~ spl2_2 ),
    inference(superposition,[],[f3,f47]) ).

fof(f850,plain,
    ( spl2_24
    | ~ spl2_10 ),
    inference(avatar_split_clause,[],[f849,f95,f173]) ).

fof(f173,plain,
    ( spl2_24
  <=> identity = multiply(sk_c7,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f849,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_10 ),
    inference(superposition,[],[f2,f97]) ).

fof(f844,plain,
    ( spl2_21
    | ~ spl2_3 ),
    inference(avatar_split_clause,[],[f843,f50,f158]) ).

fof(f843,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl2_3 ),
    inference(superposition,[],[f2,f52]) ).

fof(f826,plain,
    ( ~ spl2_49
    | spl2_31
    | ~ spl2_58 ),
    inference(avatar_split_clause,[],[f825,f440,f219,f378]) ).

fof(f219,plain,
    ( spl2_31
  <=> sk_c7 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f440,plain,
    ( spl2_58
  <=> identity = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_58])]) ).

fof(f825,plain,
    ( identity != sk_c7
    | spl2_31
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f221,f442]) ).

fof(f442,plain,
    ( identity = inverse(identity)
    | ~ spl2_58 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f221,plain,
    ( sk_c7 != inverse(identity)
    | spl2_31 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f806,plain,
    ( spl2_49
    | ~ spl2_7
    | ~ spl2_28
    | ~ spl2_59 ),
    inference(avatar_split_clause,[],[f805,f450,f198,f70,f378]) ).

fof(f70,plain,
    ( spl2_7
  <=> sk_c5 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f198,plain,
    ( spl2_28
  <=> identity = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_28])]) ).

fof(f450,plain,
    ( spl2_59
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f805,plain,
    ( identity = sk_c7
    | ~ spl2_7
    | ~ spl2_28
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f804,f199]) ).

fof(f199,plain,
    ( identity = sk_c5
    | ~ spl2_28 ),
    inference(avatar_component_clause,[],[f198]) ).

fof(f804,plain,
    ( sk_c7 = sk_c5
    | ~ spl2_7
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f803,f1]) ).

fof(f803,plain,
    ( sk_c5 = multiply(identity,sk_c7)
    | ~ spl2_7
    | ~ spl2_59 ),
    inference(forward_demodulation,[],[f72,f452]) ).

fof(f452,plain,
    ( identity = sk_c4
    | ~ spl2_59 ),
    inference(avatar_component_clause,[],[f450]) ).

fof(f72,plain,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f70]) ).

fof(f745,plain,
    ( identity != sk_c5
    | sk_c7 != inverse(sk_c2)
    | sk_c2 != multiply(sk_c6,identity)
    | identity != inverse(identity)
    | identity != sk_c2
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f592,plain,
    ( identity != sk_c7
    | identity != sk_c6
    | sk_c7 = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f586,plain,
    ( identity != inverse(sk_c7)
    | identity != sk_c6
    | inverse(sk_c7) = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f576,plain,
    ( identity != sk_c5
    | identity != sk_c6
    | sk_c6 != multiply(sk_c7,sk_c6)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f544,plain,
    ( identity != sk_c5
    | sk_c7 != inverse(identity)
    | sk_c7 != sk_c5
    | sk_c6 != sk_c5
    | inverse(sk_c7) = sk_c6 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f532,plain,
    ( ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f531]) ).

fof(f531,plain,
    ( $false
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(subsumption_resolution,[],[f530,f442]) ).

fof(f530,plain,
    ( identity != inverse(identity)
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f526,f442]) ).

fof(f526,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f525]) ).

fof(f525,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49 ),
    inference(superposition,[],[f521,f2]) ).

fof(f521,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | identity != inverse(X6) )
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f520,f199]) ).

fof(f520,plain,
    ( ! [X6] :
        ( identity != multiply(X6,identity)
        | sk_c5 != inverse(X6) )
    | ~ spl2_19
    | ~ spl2_28
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f519,f199]) ).

fof(f519,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,identity)
        | sk_c5 != inverse(X6) )
    | ~ spl2_19
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f143,f380]) ).

fof(f380,plain,
    ( identity = sk_c7
    | ~ spl2_49 ),
    inference(avatar_component_clause,[],[f378]) ).

fof(f143,plain,
    ( ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f142,plain,
    ( spl2_19
  <=> ! [X6] :
        ( sk_c5 != multiply(X6,sk_c7)
        | sk_c5 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f518,plain,
    ( ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(avatar_contradiction_clause,[],[f517]) ).

fof(f517,plain,
    ( $false
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(subsumption_resolution,[],[f516,f442]) ).

fof(f516,plain,
    ( identity != inverse(identity)
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49
    | ~ spl2_58 ),
    inference(forward_demodulation,[],[f512,f442]) ).

fof(f512,plain,
    ( identity != inverse(inverse(identity))
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f511]) ).

fof(f511,plain,
    ( identity != identity
    | identity != inverse(inverse(identity))
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49 ),
    inference(superposition,[],[f507,f2]) ).

fof(f507,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | identity != inverse(X3) )
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f506,f380]) ).

fof(f506,plain,
    ( ! [X3] :
        ( identity != multiply(X3,identity)
        | sk_c7 != inverse(X3) )
    | ~ spl2_16
    | ~ spl2_32
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f505,f380]) ).

fof(f505,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,identity)
        | sk_c7 != inverse(X3) )
    | ~ spl2_16
    | ~ spl2_32 ),
    inference(forward_demodulation,[],[f134,f226]) ).

fof(f226,plain,
    ( identity = sk_c6
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f134,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f133,plain,
    ( spl2_16
  <=> ! [X3] :
        ( sk_c7 != multiply(X3,sk_c6)
        | sk_c7 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f502,plain,
    ( spl2_59
    | ~ spl2_52 ),
    inference(avatar_split_clause,[],[f501,f397,f450]) ).

fof(f397,plain,
    ( spl2_52
  <=> identity = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_52])]) ).

fof(f501,plain,
    ( identity = sk_c4
    | ~ spl2_52 ),
    inference(forward_demodulation,[],[f500,f1]) ).

fof(f500,plain,
    ( identity = multiply(identity,sk_c4)
    | ~ spl2_52 ),
    inference(superposition,[],[f2,f399]) ).

fof(f399,plain,
    ( identity = inverse(sk_c4)
    | ~ spl2_52 ),
    inference(avatar_component_clause,[],[f397]) ).

fof(f461,plain,
    ( spl2_58
    | ~ spl2_46
    | ~ spl2_50 ),
    inference(avatar_split_clause,[],[f460,f384,f362,f440]) ).

fof(f362,plain,
    ( spl2_46
  <=> identity = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_46])]) ).

fof(f384,plain,
    ( spl2_50
  <=> identity = sk_c3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_50])]) ).

fof(f460,plain,
    ( identity = inverse(identity)
    | ~ spl2_46
    | ~ spl2_50 ),
    inference(backward_demodulation,[],[f364,f386]) ).

fof(f386,plain,
    ( identity = sk_c3
    | ~ spl2_50 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f364,plain,
    ( identity = inverse(sk_c3)
    | ~ spl2_46 ),
    inference(avatar_component_clause,[],[f362]) ).

fof(f443,plain,
    ( spl2_58
    | ~ spl2_45
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f410,f378,f357,f440]) ).

fof(f357,plain,
    ( spl2_45
  <=> identity = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_45])]) ).

fof(f410,plain,
    ( identity = inverse(identity)
    | ~ spl2_45
    | ~ spl2_49 ),
    inference(backward_demodulation,[],[f359,f380]) ).

fof(f359,plain,
    ( identity = inverse(sk_c7)
    | ~ spl2_45 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f431,plain,
    ( spl2_56
    | ~ spl2_21
    | ~ spl2_49 ),
    inference(avatar_split_clause,[],[f426,f378,f158,f428]) ).

fof(f428,plain,
    ( spl2_56
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f426,plain,
    ( identity = sk_c2
    | ~ spl2_21
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f407,f1]) ).

fof(f407,plain,
    ( identity = multiply(identity,sk_c2)
    | ~ spl2_21
    | ~ spl2_49 ),
    inference(backward_demodulation,[],[f160,f380]) ).

fof(f387,plain,
    ( spl2_50
    | ~ spl2_22
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f382,f225,f163,f384]) ).

fof(f382,plain,
    ( identity = sk_c3
    | ~ spl2_22
    | ~ spl2_32 ),
    inference(forward_demodulation,[],[f352,f1]) ).

fof(f352,plain,
    ( identity = multiply(identity,sk_c3)
    | ~ spl2_22
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f165,f226]) ).

fof(f381,plain,
    ( spl2_49
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f376,f225,f153,f378]) ).

fof(f153,plain,
    ( spl2_20
  <=> identity = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f376,plain,
    ( identity = sk_c7
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(forward_demodulation,[],[f351,f1]) ).

fof(f351,plain,
    ( identity = multiply(identity,sk_c7)
    | ~ spl2_20
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f155,f226]) ).

fof(f155,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f153]) ).

fof(f365,plain,
    ( spl2_46
    | ~ spl2_5
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f348,f225,f60,f362]) ).

fof(f348,plain,
    ( identity = inverse(sk_c3)
    | ~ spl2_5
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f62,f226]) ).

fof(f360,plain,
    ( spl2_45
    | ~ spl2_1
    | ~ spl2_32 ),
    inference(avatar_split_clause,[],[f347,f225,f41,f357]) ).

fof(f41,plain,
    ( spl2_1
  <=> inverse(sk_c7) = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f347,plain,
    ( identity = inverse(sk_c7)
    | ~ spl2_1
    | ~ spl2_32 ),
    inference(backward_demodulation,[],[f43,f226]) ).

fof(f43,plain,
    ( inverse(sk_c7) = sk_c6
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f339,plain,
    ( spl2_43
    | ~ spl2_9
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f317,f189,f85,f336]) ).

fof(f336,plain,
    ( spl2_43
  <=> sk_c6 = multiply(sk_c7,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f85,plain,
    ( spl2_9
  <=> sk_c6 = multiply(sk_c7,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f189,plain,
    ( spl2_26
  <=> sk_c6 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f317,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl2_9
    | ~ spl2_26 ),
    inference(backward_demodulation,[],[f87,f190]) ).

fof(f190,plain,
    ( sk_c6 = sk_c5
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f189]) ).

fof(f87,plain,
    ( sk_c6 = multiply(sk_c7,sk_c5)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f85]) ).

fof(f308,plain,
    ( spl2_39
    | ~ spl2_20
    | ~ spl2_24 ),
    inference(avatar_split_clause,[],[f287,f173,f153,f305]) ).

fof(f305,plain,
    ( spl2_39
  <=> sk_c1 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_39])]) ).

fof(f287,plain,
    ( sk_c1 = multiply(sk_c6,identity)
    | ~ spl2_20
    | ~ spl2_24 ),
    inference(superposition,[],[f253,f175]) ).

fof(f175,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f173]) ).

fof(f253,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = X0
    | ~ spl2_20 ),
    inference(forward_demodulation,[],[f242,f1]) ).

fof(f242,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c7,X0))
    | ~ spl2_20 ),
    inference(superposition,[],[f3,f155]) ).

fof(f303,plain,
    ( spl2_38
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f286,f153,f85,f300]) ).

fof(f300,plain,
    ( spl2_38
  <=> sk_c5 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_38])]) ).

fof(f286,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl2_9
    | ~ spl2_20 ),
    inference(superposition,[],[f253,f87]) ).

fof(f298,plain,
    ( spl2_37
    | ~ spl2_20
    | ~ spl2_21 ),
    inference(avatar_split_clause,[],[f285,f158,f153,f295]) ).

fof(f295,plain,
    ( spl2_37
  <=> sk_c2 = multiply(sk_c6,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f285,plain,
    ( sk_c2 = multiply(sk_c6,identity)
    | ~ spl2_20
    | ~ spl2_21 ),
    inference(superposition,[],[f253,f160]) ).

fof(f293,plain,
    ( spl2_36
    | ~ spl2_20
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f284,f258,f153,f290]) ).

fof(f290,plain,
    ( spl2_36
  <=> sk_c7 = multiply(sk_c6,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_36])]) ).

fof(f284,plain,
    ( sk_c7 = multiply(sk_c6,sk_c6)
    | ~ spl2_20
    | ~ spl2_34 ),
    inference(superposition,[],[f253,f260]) ).

fof(f260,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl2_34 ),
    inference(avatar_component_clause,[],[f258]) ).

fof(f233,plain,
    ( ~ spl2_33
    | ~ spl2_32
    | ~ spl2_17
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f214,f153,f136,f225,f229]) ).

fof(f229,plain,
    ( spl2_33
  <=> sk_c7 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f136,plain,
    ( spl2_17
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f214,plain,
    ( identity != sk_c6
    | sk_c7 != inverse(sk_c6)
    | ~ spl2_17
    | ~ spl2_20 ),
    inference(superposition,[],[f137,f155]) ).

fof(f137,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f222,plain,
    ( ~ spl2_31
    | ~ spl2_30
    | ~ spl2_17 ),
    inference(avatar_split_clause,[],[f212,f136,f208,f219]) ).

fof(f212,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(identity)
    | ~ spl2_17 ),
    inference(superposition,[],[f137,f1]) ).

fof(f201,plain,
    ( ~ spl2_27
    | ~ spl2_28
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f180,f139,f198,f194]) ).

fof(f194,plain,
    ( spl2_27
  <=> sk_c6 = inverse(inverse(sk_c6)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f139,plain,
    ( spl2_18
  <=> ! [X5] :
        ( sk_c6 != inverse(X5)
        | sk_c5 != multiply(X5,sk_c6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f180,plain,
    ( identity != sk_c5
    | sk_c6 != inverse(inverse(sk_c6))
    | ~ spl2_18 ),
    inference(superposition,[],[f140,f2]) ).

fof(f140,plain,
    ( ! [X5] :
        ( sk_c5 != multiply(X5,sk_c6)
        | sk_c6 != inverse(X5) )
    | ~ spl2_18 ),
    inference(avatar_component_clause,[],[f139]) ).

fof(f192,plain,
    ( ~ spl2_25
    | ~ spl2_26
    | ~ spl2_18 ),
    inference(avatar_split_clause,[],[f179,f139,f189,f185]) ).

fof(f185,plain,
    ( spl2_25
  <=> sk_c6 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f179,plain,
    ( sk_c6 != sk_c5
    | sk_c6 != inverse(identity)
    | ~ spl2_18 ),
    inference(superposition,[],[f140,f1]) ).

fof(f177,plain,
    ( sk_c6 != multiply(sk_c7,sk_c5)
    | ~ sP0(multiply(sk_c7,sk_c5))
    | sP0(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f156,plain,
    ( spl2_20
    | ~ spl2_1 ),
    inference(avatar_split_clause,[],[f147,f41,f153]) ).

fof(f147,plain,
    ( identity = multiply(sk_c6,sk_c7)
    | ~ spl2_1 ),
    inference(superposition,[],[f2,f43]) ).

fof(f146,plain,
    ( ~ spl2_14
    | ~ spl2_8
    | spl2_12 ),
    inference(avatar_split_clause,[],[f145,f115,f75,f125]) ).

fof(f125,plain,
    ( spl2_14
  <=> sP1(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f75,plain,
    ( spl2_8
  <=> sk_c7 = multiply(sk_c6,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f115,plain,
    ( spl2_12
  <=> sP1(multiply(sk_c6,sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f145,plain,
    ( ~ sP1(sk_c7)
    | ~ spl2_8
    | spl2_12 ),
    inference(backward_demodulation,[],[f117,f77]) ).

fof(f77,plain,
    ( sk_c7 = multiply(sk_c6,sk_c5)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f117,plain,
    ( ~ sP1(multiply(sk_c6,sk_c5))
    | spl2_12 ),
    inference(avatar_component_clause,[],[f115]) ).

fof(f144,plain,
    ( ~ spl2_1
    | spl2_14
    | ~ spl2_15
    | spl2_16
    | spl2_17
    | spl2_18
    | spl2_19 ),
    inference(avatar_split_clause,[],[f39,f142,f139,f136,f133,f129,f125,f41]) ).

fof(f129,plain,
    ( spl2_15
  <=> sP0(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f39,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | ~ sP0(sk_c6)
      | sP1(sk_c7)
      | inverse(sk_c7) != sk_c6 ),
    inference(consistent_polarity_flipping,[],[f37]) ).

fof(f37,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | sP0(sk_c6)
      | sP1(sk_c7)
      | inverse(sk_c7) != sk_c6 ),
    inference(inequality_splitting,[],[f34,f36,f35]) ).

fof(f35,plain,
    ~ sP0(multiply(sk_c7,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f36,plain,
    ~ sP1(multiply(sk_c6,sk_c5)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f34,axiom,
    ! [X3,X6,X4,X5] :
      ( sk_c5 != multiply(X6,sk_c7)
      | sk_c5 != inverse(X6)
      | sk_c6 != inverse(X5)
      | sk_c5 != multiply(X5,sk_c6)
      | sk_c7 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c7)
      | sk_c7 != multiply(X3,sk_c6)
      | sk_c7 != inverse(X3)
      | sk_c6 != multiply(sk_c7,sk_c5)
      | sk_c7 != multiply(sk_c6,sk_c5)
      | inverse(sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).

fof(f123,plain,
    spl2_13,
    inference(avatar_split_clause,[],[f38,f120]) ).

fof(f120,plain,
    ( spl2_13
  <=> sP0(multiply(sk_c7,sk_c5)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f38,plain,
    sP0(multiply(sk_c7,sk_c5)),
    inference(consistent_polarity_flipping,[],[f35]) ).

fof(f118,plain,
    ~ spl2_12,
    inference(avatar_split_clause,[],[f36,f115]) ).

fof(f109,plain,
    ( spl2_11
    | spl2_3 ),
    inference(avatar_split_clause,[],[f29,f50,f105]) ).

fof(f29,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).

fof(f108,plain,
    ( spl2_11
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f45,f105]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c6) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f99,plain,
    ( spl2_10
    | spl2_3 ),
    inference(avatar_split_clause,[],[f23,f50,f95]) ).

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

fof(f98,plain,
    ( spl2_10
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f45,f95]) ).

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

fof(f93,plain,
    ( spl2_9
    | spl2_7 ),
    inference(avatar_split_clause,[],[f21,f70,f85]) ).

fof(f21,axiom,
    ( sk_c5 = multiply(sk_c4,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f92,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f20,f65,f85]) ).

fof(f65,plain,
    ( spl2_6
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

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

fof(f91,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f19,f60,f85]) ).

fof(f19,axiom,
    ( sk_c6 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).

fof(f90,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f18,f55,f85]) ).

fof(f55,plain,
    ( spl2_4
  <=> multiply(sk_c3,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f18,axiom,
    ( multiply(sk_c3,sk_c6) = sk_c5
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f89,plain,
    ( spl2_9
    | spl2_3 ),
    inference(avatar_split_clause,[],[f17,f50,f85]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f88,plain,
    ( spl2_9
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f45,f85]) ).

fof(f16,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c6 = multiply(sk_c7,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f79,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f11,f50,f75]) ).

fof(f11,axiom,
    ( sk_c7 = inverse(sk_c2)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f78,plain,
    ( spl2_8
    | spl2_2 ),
    inference(avatar_split_clause,[],[f10,f45,f75]) ).

fof(f10,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | sk_c7 = multiply(sk_c6,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f63,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f60,f41]) ).

fof(f7,axiom,
    ( sk_c6 = inverse(sk_c3)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).

fof(f58,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f55,f41]) ).

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

fof(f53,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f50,f41]) ).

fof(f5,axiom,
    ( sk_c7 = inverse(sk_c2)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).

fof(f48,plain,
    ( spl2_1
    | spl2_2 ),
    inference(avatar_split_clause,[],[f4,f45,f41]) ).

fof(f4,axiom,
    ( sk_c6 = multiply(sk_c2,sk_c7)
    | inverse(sk_c7) = sk_c6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem    : GRP387-1 : TPTP v8.2.0. Released v2.5.0.
% 0.10/0.13  % 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
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sun May 19 05:50:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.34  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
% 0.55/0.72  % (16757)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.72  % (16759)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 (2996ds/56Mi)
% 0.55/0.72  % (16752)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 (2996ds/34Mi)
% 0.55/0.72  % (16753)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 (2996ds/51Mi)
% 0.55/0.72  % (16757)Refutation not found, incomplete strategy% (16757)------------------------------
% 0.55/0.72  % (16757)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72  % (16757)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72  
% 0.55/0.72  % (16757)Memory used [KB]: 994
% 0.55/0.72  % (16757)Time elapsed: 0.002 s
% 0.55/0.72  % (16757)Instructions burned: 4 (million)
% 0.55/0.72  % (16757)------------------------------
% 0.55/0.72  % (16757)------------------------------
% 0.55/0.72  % (16759)Refutation not found, incomplete strategy% (16759)------------------------------
% 0.55/0.72  % (16759)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.72  % (16759)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.72  
% 0.55/0.72  % (16759)Memory used [KB]: 991
% 0.55/0.72  % (16759)Time elapsed: 0.004 s
% 0.55/0.72  % (16759)Instructions burned: 3 (million)
% 0.55/0.72  % (16758)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 (2996ds/83Mi)
% 0.55/0.72  % (16752)Refutation not found, incomplete strategy% (16752)------------------------------
% 0.55/0.72  % (16752)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16752)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16752)Memory used [KB]: 1006
% 0.55/0.73  % (16752)Time elapsed: 0.003 s
% 0.55/0.73  % (16752)Instructions burned: 3 (million)
% 0.55/0.73  % (16759)------------------------------
% 0.55/0.73  % (16759)------------------------------
% 0.55/0.73  % (16752)------------------------------
% 0.55/0.73  % (16752)------------------------------
% 0.55/0.73  % (16754)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.73  % (16756)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 (2996ds/34Mi)
% 0.55/0.73  % (16760)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 (2996ds/55Mi)
% 0.55/0.73  % (16754)Refutation not found, incomplete strategy% (16754)------------------------------
% 0.55/0.73  % (16754)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16754)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16754)Memory used [KB]: 1060
% 0.55/0.73  % (16754)Time elapsed: 0.002 s
% 0.55/0.73  % (16754)Instructions burned: 4 (million)
% 0.55/0.73  % (16754)------------------------------
% 0.55/0.73  % (16754)------------------------------
% 0.55/0.73  % (16758)Refutation not found, incomplete strategy% (16758)------------------------------
% 0.55/0.73  % (16758)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16758)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16758)Memory used [KB]: 1072
% 0.55/0.73  % (16758)Time elapsed: 0.004 s
% 0.55/0.73  % (16758)Instructions burned: 6 (million)
% 0.55/0.73  % (16758)------------------------------
% 0.55/0.73  % (16758)------------------------------
% 0.55/0.73  % (16761)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 (2996ds/50Mi)
% 0.55/0.73  % (16756)Refutation not found, incomplete strategy% (16756)------------------------------
% 0.55/0.73  % (16756)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16756)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16756)Memory used [KB]: 1006
% 0.55/0.73  % (16756)Time elapsed: 0.003 s
% 0.55/0.73  % (16756)Instructions burned: 4 (million)
% 0.55/0.73  % (16756)------------------------------
% 0.55/0.73  % (16756)------------------------------
% 0.55/0.73  % (16755)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.73  % (16760)Refutation not found, incomplete strategy% (16760)------------------------------
% 0.55/0.73  % (16760)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16760)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16760)Memory used [KB]: 1062
% 0.55/0.73  % (16760)Time elapsed: 0.004 s
% 0.55/0.73  % (16760)Instructions burned: 5 (million)
% 0.55/0.73  % (16762)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 (2996ds/208Mi)
% 0.55/0.73  % (16760)------------------------------
% 0.55/0.73  % (16760)------------------------------
% 0.55/0.73  % (16763)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 (2996ds/52Mi)
% 0.55/0.73  % (16761)Refutation not found, incomplete strategy% (16761)------------------------------
% 0.55/0.73  % (16761)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16761)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16761)Memory used [KB]: 999
% 0.55/0.73  % (16761)Time elapsed: 0.004 s
% 0.55/0.73  % (16761)Instructions burned: 5 (million)
% 0.55/0.73  % (16761)------------------------------
% 0.55/0.73  % (16761)------------------------------
% 0.55/0.73  % (16755)Refutation not found, incomplete strategy% (16755)------------------------------
% 0.55/0.73  % (16755)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16755)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16755)Memory used [KB]: 989
% 0.55/0.73  % (16755)Time elapsed: 0.004 s
% 0.55/0.73  % (16755)Instructions burned: 3 (million)
% 0.55/0.73  % (16763)Refutation not found, incomplete strategy% (16763)------------------------------
% 0.55/0.73  % (16763)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16763)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16763)Memory used [KB]: 996
% 0.55/0.73  % (16763)Time elapsed: 0.002 s
% 0.55/0.73  % (16763)Instructions burned: 4 (million)
% 0.55/0.73  % (16763)------------------------------
% 0.55/0.73  % (16763)------------------------------
% 0.55/0.73  % (16755)------------------------------
% 0.55/0.73  % (16755)------------------------------
% 0.55/0.73  % (16766)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 (2996ds/243Mi)
% 0.55/0.73  % (16765)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 (2996ds/42Mi)
% 0.55/0.73  % (16764)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 (2996ds/518Mi)
% 0.55/0.73  % (16767)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 (2996ds/117Mi)
% 0.55/0.73  % (16765)Refutation not found, incomplete strategy% (16765)------------------------------
% 0.55/0.73  % (16765)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.73  % (16765)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.73  
% 0.55/0.73  % (16765)Memory used [KB]: 1013
% 0.55/0.73  % (16765)Time elapsed: 0.002 s
% 0.55/0.73  % (16765)Instructions burned: 4 (million)
% 0.55/0.73  % (16765)------------------------------
% 0.55/0.73  % (16765)------------------------------
% 0.55/0.74  % (16767)Refutation not found, incomplete strategy% (16767)------------------------------
% 0.55/0.74  % (16767)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16767)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16767)Memory used [KB]: 992
% 0.55/0.74  % (16767)Time elapsed: 0.003 s
% 0.55/0.74  % (16767)Instructions burned: 3 (million)
% 0.55/0.74  % (16767)------------------------------
% 0.55/0.74  % (16767)------------------------------
% 0.55/0.74  % (16768)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 (2996ds/143Mi)
% 0.55/0.74  % (16769)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 (2996ds/93Mi)
% 0.55/0.74  % (16770)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 (2996ds/62Mi)
% 0.55/0.74  % (16768)Refutation not found, incomplete strategy% (16768)------------------------------
% 0.55/0.74  % (16768)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16768)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16768)Memory used [KB]: 1008
% 0.55/0.74  % (16768)Time elapsed: 0.004 s
% 0.55/0.74  % (16768)Instructions burned: 4 (million)
% 0.55/0.74  % (16768)------------------------------
% 0.55/0.74  % (16768)------------------------------
% 0.55/0.74  % (16770)Refutation not found, incomplete strategy% (16770)------------------------------
% 0.55/0.74  % (16770)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16770)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16770)Memory used [KB]: 992
% 0.55/0.74  % (16770)Time elapsed: 0.001 s
% 0.55/0.74  % (16770)Instructions burned: 3 (million)
% 0.55/0.74  % (16770)------------------------------
% 0.55/0.74  % (16770)------------------------------
% 0.55/0.74  % (16766)Refutation not found, incomplete strategy% (16766)------------------------------
% 0.55/0.74  % (16766)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16766)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16766)Memory used [KB]: 1087
% 0.55/0.74  % (16766)Time elapsed: 0.007 s
% 0.55/0.74  % (16766)Instructions burned: 11 (million)
% 0.55/0.74  % (16766)------------------------------
% 0.55/0.74  % (16766)------------------------------
% 0.55/0.74  % (16772)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 (2996ds/1919Mi)
% 0.55/0.74  % (16773)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 (2996ds/55Mi)
% 0.55/0.74  % (16772)Refutation not found, incomplete strategy% (16772)------------------------------
% 0.55/0.74  % (16772)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16772)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16772)Memory used [KB]: 1060
% 0.55/0.74  % (16772)Time elapsed: 0.002 s
% 0.55/0.74  % (16772)Instructions burned: 4 (million)
% 0.55/0.74  % (16771)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 (2996ds/32Mi)
% 0.55/0.74  % (16772)------------------------------
% 0.55/0.74  % (16772)------------------------------
% 0.55/0.74  % (16773)Refutation not found, incomplete strategy% (16773)------------------------------
% 0.55/0.74  % (16773)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16773)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16773)Memory used [KB]: 1009
% 0.55/0.74  % (16773)Time elapsed: 0.003 s
% 0.55/0.74  % (16773)Instructions burned: 4 (million)
% 0.55/0.74  % (16773)------------------------------
% 0.55/0.74  % (16773)------------------------------
% 0.55/0.74  % (16774)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 (2996ds/53Mi)
% 0.55/0.74  % (16771)Refutation not found, incomplete strategy% (16771)------------------------------
% 0.55/0.74  % (16771)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.74  % (16771)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.74  
% 0.55/0.74  % (16771)Memory used [KB]: 1066
% 0.55/0.74  % (16771)Time elapsed: 0.004 s
% 0.55/0.74  % (16771)Instructions burned: 4 (million)
% 0.55/0.74  % (16771)------------------------------
% 0.55/0.74  % (16771)------------------------------
% 0.55/0.75  % (16776)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 (2996ds/46Mi)
% 0.55/0.75  % (16776)Refutation not found, incomplete strategy% (16776)------------------------------
% 0.55/0.75  % (16776)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (16776)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (16776)Memory used [KB]: 1004
% 0.55/0.75  % (16776)Time elapsed: 0.001 s
% 0.55/0.75  % (16776)Instructions burned: 3 (million)
% 0.55/0.75  % (16776)------------------------------
% 0.55/0.75  % (16776)------------------------------
% 0.55/0.75  % (16777)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 (2996ds/102Mi)
% 0.55/0.75  % (16778)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 (2996ds/35Mi)
% 0.55/0.75  % (16777)Refutation not found, incomplete strategy% (16777)------------------------------
% 0.55/0.75  % (16777)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (16777)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.75  
% 0.55/0.75  % (16777)Memory used [KB]: 1077
% 0.55/0.75  % (16777)Time elapsed: 0.002 s
% 0.55/0.75  % (16777)Instructions burned: 5 (million)
% 0.55/0.75  % (16777)------------------------------
% 0.55/0.75  % (16777)------------------------------
% 0.55/0.75  % (16779)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2996ds/87Mi)
% 0.55/0.75  % (16780)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 (2996ds/109Mi)
% 0.55/0.76  % (16753)Instruction limit reached!
% 0.55/0.76  % (16753)------------------------------
% 0.55/0.76  % (16753)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16753)Termination reason: Unknown
% 0.55/0.76  % (16753)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16753)Memory used [KB]: 1619
% 0.55/0.76  % (16753)Time elapsed: 0.034 s
% 0.55/0.76  % (16753)Instructions burned: 51 (million)
% 0.55/0.76  % (16753)------------------------------
% 0.55/0.76  % (16753)------------------------------
% 0.55/0.76  % (16781)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 (2996ds/161Mi)
% 0.55/0.76  % (16781)Refutation not found, incomplete strategy% (16781)------------------------------
% 0.55/0.76  % (16781)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16781)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76  
% 0.55/0.76  % (16781)Memory used [KB]: 987
% 0.55/0.76  % (16781)Time elapsed: 0.003 s
% 0.55/0.76  % (16781)Instructions burned: 3 (million)
% 0.55/0.76  % (16781)------------------------------
% 0.55/0.76  % (16781)------------------------------
% 0.55/0.77  % (16778)Instruction limit reached!
% 0.55/0.77  % (16778)------------------------------
% 0.55/0.77  % (16778)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (16778)Termination reason: Unknown
% 0.55/0.77  % (16778)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (16778)Memory used [KB]: 1171
% 0.55/0.77  % (16778)Time elapsed: 0.018 s
% 0.55/0.77  % (16778)Instructions burned: 35 (million)
% 0.55/0.77  % (16778)------------------------------
% 0.55/0.77  % (16778)------------------------------
% 0.55/0.77  % (16774)Instruction limit reached!
% 0.55/0.77  % (16774)------------------------------
% 0.55/0.77  % (16774)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (16774)Termination reason: Unknown
% 0.55/0.77  % (16774)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (16774)Memory used [KB]: 1198
% 0.55/0.77  % (16774)Time elapsed: 0.024 s
% 0.55/0.77  % (16774)Instructions burned: 55 (million)
% 0.55/0.77  % (16774)------------------------------
% 0.55/0.77  % (16774)------------------------------
% 0.73/0.77  % (16782)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 (2995ds/69Mi)
% 0.73/0.77  % (16782)Refutation not found, incomplete strategy% (16782)------------------------------
% 0.73/0.77  % (16782)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.77  % (16782)Termination reason: Refutation not found, incomplete strategy
% 0.73/0.77  
% 0.73/0.77  % (16782)Memory used [KB]: 1009
% 0.73/0.77  % (16782)Time elapsed: 0.004 s
% 0.73/0.77  % (16782)Instructions burned: 4 (million)
% 0.73/0.77  % (16782)------------------------------
% 0.73/0.77  % (16782)------------------------------
% 0.73/0.77  % (16784)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 (2995ds/360Mi)
% 0.73/0.77  % (16783)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 (2995ds/40Mi)
% 0.73/0.77  % (16780)First to succeed.
% 0.73/0.77  % (16780)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16751"
% 0.73/0.77  % (16780)Refutation found. Thanks to Tanya!
% 0.73/0.77  % SZS status Unsatisfiable for theBenchmark
% 0.73/0.77  % SZS output start Proof for theBenchmark
% See solution above
% 0.73/0.78  % (16780)------------------------------
% 0.73/0.78  % (16780)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.73/0.78  % (16780)Termination reason: Refutation
% 0.73/0.78  
% 0.73/0.78  % (16780)Memory used [KB]: 1748
% 0.73/0.78  % (16780)Time elapsed: 0.020 s
% 0.73/0.78  % (16780)Instructions burned: 62 (million)
% 0.73/0.78  % (16751)Success in time 0.412 s
% 0.73/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------