TSTP Solution File: GRP280-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP280-1 : 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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n011.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 21:07:53 EDT 2024

% Result   : Unsatisfiable 0.68s 0.83s
% Output   : Refutation 0.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   87
% Syntax   : Number of formulae    :  297 (   9 unt;   0 def)
%            Number of atoms       :  846 ( 316 equ)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives : 1030 ( 481   ~; 503   |;   0   &)
%                                         (  46 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   50 (  48 usr;  47 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   64 (  64   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2265,plain,
    $false,
    inference(avatar_sat_refutation,[],[f61,f66,f71,f76,f81,f86,f87,f88,f89,f90,f91,f96,f97,f98,f99,f100,f101,f106,f110,f111,f116,f120,f121,f126,f130,f131,f136,f141,f162,f164,f166,f170,f212,f225,f227,f267,f271,f289,f350,f364,f420,f493,f505,f556,f563,f574,f596,f597,f605,f621,f624,f634,f657,f677,f683,f718,f779,f849,f868,f983,f985,f987,f991,f993,f997,f999,f1014,f1024,f1077,f1090,f1104,f1115,f1116,f1243,f1249,f1741,f1793,f1799,f2107,f2260]) ).

fof(f2260,plain,
    ( spl2_35
    | ~ spl2_11
    | ~ spl2_27 ),
    inference(avatar_split_clause,[],[f2251,f209,f113,f296]) ).

fof(f296,plain,
    ( spl2_35
  <=> sk_c9 = multiply(sk_c9,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_35])]) ).

fof(f113,plain,
    ( spl2_11
  <=> sk_c3 = multiply(sk_c2,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).

fof(f209,plain,
    ( spl2_27
  <=> identity = multiply(sk_c9,sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_27])]) ).

fof(f2251,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl2_11
    | ~ spl2_27 ),
    inference(superposition,[],[f256,f115]) ).

fof(f115,plain,
    ( sk_c3 = multiply(sk_c2,sk_c9)
    | ~ spl2_11 ),
    inference(avatar_component_clause,[],[f113]) ).

fof(f256,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c2,X0)) = X0
    | ~ spl2_27 ),
    inference(forward_demodulation,[],[f245,f1]) ).

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

fof(f245,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c2,X0))
    | ~ spl2_27 ),
    inference(superposition,[],[f3,f211]) ).

fof(f211,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl2_27 ),
    inference(avatar_component_clause,[],[f209]) ).

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

fof(f2107,plain,
    ( spl2_42
    | ~ spl2_43
    | ~ spl2_49 ),
    inference(avatar_contradiction_clause,[],[f2106]) ).

fof(f2106,plain,
    ( $false
    | spl2_42
    | ~ spl2_43
    | ~ spl2_49 ),
    inference(trivial_inequality_removal,[],[f2086]) ).

fof(f2086,plain,
    ( sk_c9 != sk_c9
    | spl2_42
    | ~ spl2_43
    | ~ spl2_49 ),
    inference(backward_demodulation,[],[f359,f2004]) ).

fof(f2004,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl2_43
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f446,f362]) ).

fof(f362,plain,
    ( sk_c9 = sk_c5
    | ~ spl2_43 ),
    inference(avatar_component_clause,[],[f361]) ).

fof(f361,plain,
    ( spl2_43
  <=> sk_c9 = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_43])]) ).

fof(f446,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl2_49 ),
    inference(forward_demodulation,[],[f440,f1]) ).

fof(f440,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(identity,X0))
    | ~ spl2_49 ),
    inference(superposition,[],[f3,f419]) ).

fof(f419,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl2_49 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f417,plain,
    ( spl2_49
  <=> identity = multiply(sk_c5,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_49])]) ).

fof(f359,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | spl2_42 ),
    inference(avatar_component_clause,[],[f357]) ).

fof(f357,plain,
    ( spl2_42
  <=> sk_c9 = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_42])]) ).

fof(f1799,plain,
    ( spl2_43
    | ~ spl2_3
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f1798,f490,f58,f361]) ).

fof(f58,plain,
    ( spl2_3
  <=> sk_c9 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).

fof(f490,plain,
    ( spl2_53
  <=> identity = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_53])]) ).

fof(f1798,plain,
    ( sk_c9 = sk_c5
    | ~ spl2_3
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f1797,f1]) ).

fof(f1797,plain,
    ( sk_c9 = multiply(identity,sk_c5)
    | ~ spl2_3
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f60,f492]) ).

fof(f492,plain,
    ( identity = sk_c4
    | ~ spl2_53 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f60,plain,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | ~ spl2_3 ),
    inference(avatar_component_clause,[],[f58]) ).

fof(f1793,plain,
    ( ~ spl2_42
    | spl2_41
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f1792,f490,f347,f357]) ).

fof(f347,plain,
    ( spl2_41
  <=> multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_41])]) ).

fof(f1792,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | spl2_41
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f1791,f1]) ).

fof(f1791,plain,
    ( multiply(identity,sk_c9) != multiply(sk_c9,sk_c9)
    | spl2_41
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f348,f492]) ).

fof(f348,plain,
    ( multiply(sk_c9,sk_c9) != multiply(sk_c4,sk_c9)
    | spl2_41 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1741,plain,
    ( spl2_84
    | ~ spl2_8
    | ~ spl2_26 ),
    inference(avatar_split_clause,[],[f1731,f204,f83,f1127]) ).

fof(f1127,plain,
    ( spl2_84
  <=> sk_c9 = multiply(sk_c9,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_84])]) ).

fof(f83,plain,
    ( spl2_8
  <=> sk_c8 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).

fof(f204,plain,
    ( spl2_26
  <=> identity = multiply(sk_c9,sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_26])]) ).

fof(f1731,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl2_8
    | ~ spl2_26 ),
    inference(superposition,[],[f255,f85]) ).

fof(f85,plain,
    ( sk_c8 = multiply(sk_c1,sk_c9)
    | ~ spl2_8 ),
    inference(avatar_component_clause,[],[f83]) ).

fof(f255,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl2_26 ),
    inference(forward_demodulation,[],[f243,f1]) ).

fof(f243,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl2_26 ),
    inference(superposition,[],[f3,f206]) ).

fof(f206,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl2_26 ),
    inference(avatar_component_clause,[],[f204]) ).

fof(f1249,plain,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | sk_c9 != multiply(sk_c9,sk_c8)
    | sk_c9 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1243,plain,
    ( spl2_42
    | ~ spl2_32
    | ~ spl2_37
    | ~ spl2_84 ),
    inference(avatar_split_clause,[],[f1233,f1127,f306,f281,f357]) ).

fof(f281,plain,
    ( spl2_32
  <=> sk_c7 = multiply(sk_c9,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_32])]) ).

fof(f306,plain,
    ( spl2_37
  <=> sk_c9 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_37])]) ).

fof(f1233,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl2_32
    | ~ spl2_37
    | ~ spl2_84 ),
    inference(superposition,[],[f1188,f1129]) ).

fof(f1129,plain,
    ( sk_c9 = multiply(sk_c9,sk_c8)
    | ~ spl2_84 ),
    inference(avatar_component_clause,[],[f1127]) ).

fof(f1188,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl2_32
    | ~ spl2_37 ),
    inference(forward_demodulation,[],[f695,f307]) ).

fof(f307,plain,
    ( sk_c9 = sk_c7
    | ~ spl2_37 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f695,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c9,multiply(sk_c9,X0))
    | ~ spl2_32 ),
    inference(superposition,[],[f3,f283]) ).

fof(f283,plain,
    ( sk_c7 = multiply(sk_c9,sk_c9)
    | ~ spl2_32 ),
    inference(avatar_component_clause,[],[f281]) ).

fof(f1116,plain,
    ( spl2_42
    | ~ spl2_37
    | ~ spl2_44 ),
    inference(avatar_split_clause,[],[f1108,f379,f306,f357]) ).

fof(f379,plain,
    ( spl2_44
  <=> sk_c7 = multiply(sk_c7,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_44])]) ).

fof(f1108,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl2_37
    | ~ spl2_44 ),
    inference(backward_demodulation,[],[f381,f307]) ).

fof(f381,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_44 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1115,plain,
    ( ~ spl2_23
    | spl2_21
    | ~ spl2_37 ),
    inference(avatar_split_clause,[],[f1107,f306,f174,f184]) ).

fof(f184,plain,
    ( spl2_23
  <=> sk_c9 = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_23])]) ).

fof(f174,plain,
    ( spl2_21
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_21])]) ).

fof(f1107,plain,
    ( sk_c9 != sk_c8
    | spl2_21
    | ~ spl2_37 ),
    inference(backward_demodulation,[],[f176,f307]) ).

fof(f176,plain,
    ( sk_c8 != sk_c7
    | spl2_21 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f1104,plain,
    ( spl2_25
    | ~ spl2_7 ),
    inference(avatar_split_clause,[],[f1103,f78,f199]) ).

fof(f199,plain,
    ( spl2_25
  <=> identity = multiply(sk_c9,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_25])]) ).

fof(f78,plain,
    ( spl2_7
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).

fof(f1103,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl2_7 ),
    inference(superposition,[],[f2,f80]) ).

fof(f80,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl2_7 ),
    inference(avatar_component_clause,[],[f78]) ).

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

fof(f1090,plain,
    ( spl2_42
    | ~ spl2_41
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f1089,f490,f347,f357]) ).

fof(f1089,plain,
    ( sk_c9 = multiply(sk_c9,sk_c9)
    | ~ spl2_41
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f1088,f1]) ).

fof(f1088,plain,
    ( multiply(identity,sk_c9) = multiply(sk_c9,sk_c9)
    | ~ spl2_41
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f349,f492]) ).

fof(f349,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c9)
    | ~ spl2_41 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f1077,plain,
    ( ~ spl2_22
    | ~ spl2_37
    | ~ spl2_20 ),
    inference(avatar_split_clause,[],[f697,f160,f306,f180]) ).

fof(f180,plain,
    ( spl2_22
  <=> sk_c9 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_22])]) ).

fof(f160,plain,
    ( spl2_20
  <=> ! [X8] :
        ( sk_c9 != inverse(X8)
        | sk_c7 != multiply(X8,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_20])]) ).

fof(f697,plain,
    ( sk_c9 != sk_c7
    | sk_c9 != inverse(identity)
    | ~ spl2_20 ),
    inference(superposition,[],[f161,f1]) ).

fof(f161,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(X8,sk_c9)
        | sk_c9 != inverse(X8) )
    | ~ spl2_20 ),
    inference(avatar_component_clause,[],[f160]) ).

fof(f1024,plain,
    ( sk_c8 != multiply(sk_c9,sk_c3)
    | sk_c7 != multiply(sk_c7,sk_c3)
    | sk_c9 != sk_c7
    | sk_c9 != multiply(sk_c9,sk_c7)
    | sk_c8 = multiply(sk_c9,sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f1014,plain,
    ( sk_c9 != sk_c7
    | sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c8 != multiply(sk_c9,sk_c7)
    | sk_c8 = sk_c7 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f999,plain,
    ( sk_c9 != multiply(sk_c9,sk_c3)
    | sk_c8 != multiply(sk_c9,sk_c3)
    | sk_c9 = sk_c8 ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f997,plain,
    ( sk_c9 != multiply(sk_c9,sk_c3)
    | sk_c8 != multiply(sk_c9,sk_c3)
    | sk_c8 != multiply(sk_c1,sk_c9)
    | sk_c9 = multiply(sk_c1,sk_c9) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f993,plain,
    ( multiply(sk_c9,sk_c8) != sk_c7
    | sk_c8 != sk_c7
    | ~ sP0(multiply(sk_c9,sk_c7))
    | sP0(sk_c8) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f991,plain,
    ( ~ spl2_26
    | ~ spl2_27
    | spl2_59
    | ~ spl2_69 ),
    inference(avatar_contradiction_clause,[],[f990]) ).

fof(f990,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_27
    | spl2_59
    | ~ spl2_69 ),
    inference(subsumption_resolution,[],[f972,f553]) ).

fof(f553,plain,
    ( identity != sk_c2
    | spl2_59 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl2_59
  <=> identity = sk_c2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_59])]) ).

fof(f972,plain,
    ( identity = sk_c2
    | ~ spl2_26
    | ~ spl2_27
    | ~ spl2_69 ),
    inference(backward_demodulation,[],[f211,f951]) ).

fof(f951,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl2_26
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f255,f853]) ).

fof(f853,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl2_69 ),
    inference(forward_demodulation,[],[f852,f1]) ).

fof(f852,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c1,multiply(identity,X0))
    | ~ spl2_69 ),
    inference(superposition,[],[f3,f778]) ).

fof(f778,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl2_69 ),
    inference(avatar_component_clause,[],[f776]) ).

fof(f776,plain,
    ( spl2_69
  <=> identity = multiply(sk_c1,identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_69])]) ).

fof(f987,plain,
    ( ~ spl2_26
    | spl2_57
    | ~ spl2_69 ),
    inference(avatar_contradiction_clause,[],[f986]) ).

fof(f986,plain,
    ( $false
    | ~ spl2_26
    | spl2_57
    | ~ spl2_69 ),
    inference(subsumption_resolution,[],[f970,f543]) ).

fof(f543,plain,
    ( identity != sk_c1
    | spl2_57 ),
    inference(avatar_component_clause,[],[f542]) ).

fof(f542,plain,
    ( spl2_57
  <=> identity = sk_c1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_57])]) ).

fof(f970,plain,
    ( identity = sk_c1
    | ~ spl2_26
    | ~ spl2_69 ),
    inference(backward_demodulation,[],[f206,f951]) ).

fof(f985,plain,
    ( ~ spl2_25
    | ~ spl2_26
    | spl2_56
    | ~ spl2_69 ),
    inference(avatar_contradiction_clause,[],[f984]) ).

fof(f984,plain,
    ( $false
    | ~ spl2_25
    | ~ spl2_26
    | spl2_56
    | ~ spl2_69 ),
    inference(subsumption_resolution,[],[f969,f538]) ).

fof(f538,plain,
    ( identity != sk_c6
    | spl2_56 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl2_56
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_56])]) ).

fof(f969,plain,
    ( identity = sk_c6
    | ~ spl2_25
    | ~ spl2_26
    | ~ spl2_69 ),
    inference(backward_demodulation,[],[f201,f951]) ).

fof(f201,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl2_25 ),
    inference(avatar_component_clause,[],[f199]) ).

fof(f983,plain,
    ( ~ spl2_26
    | ~ spl2_31
    | spl2_37
    | ~ spl2_69 ),
    inference(avatar_contradiction_clause,[],[f982]) ).

fof(f982,plain,
    ( $false
    | ~ spl2_26
    | ~ spl2_31
    | spl2_37
    | ~ spl2_69 ),
    inference(subsumption_resolution,[],[f968,f308]) ).

fof(f308,plain,
    ( sk_c9 != sk_c7
    | spl2_37 ),
    inference(avatar_component_clause,[],[f306]) ).

fof(f968,plain,
    ( sk_c9 = sk_c7
    | ~ spl2_26
    | ~ spl2_31
    | ~ spl2_69 ),
    inference(backward_demodulation,[],[f266,f951]) ).

fof(f266,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl2_31 ),
    inference(avatar_component_clause,[],[f264]) ).

fof(f264,plain,
    ( spl2_31
  <=> sk_c9 = multiply(sk_c9,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_31])]) ).

fof(f868,plain,
    ( spl2_44
    | ~ spl2_6
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f867,f264,f73,f379]) ).

fof(f73,plain,
    ( spl2_6
  <=> sk_c7 = multiply(sk_c6,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).

fof(f867,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl2_6
    | ~ spl2_31 ),
    inference(forward_demodulation,[],[f857,f75]) ).

fof(f75,plain,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | ~ spl2_6 ),
    inference(avatar_component_clause,[],[f73]) ).

fof(f857,plain,
    ( multiply(sk_c6,sk_c9) = multiply(sk_c7,sk_c7)
    | ~ spl2_6
    | ~ spl2_31 ),
    inference(superposition,[],[f249,f266]) ).

fof(f249,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c6,multiply(sk_c9,X0))
    | ~ spl2_6 ),
    inference(superposition,[],[f3,f75]) ).

fof(f849,plain,
    ( spl2_69
    | ~ spl2_27
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f836,f291,f209,f776]) ).

fof(f291,plain,
    ( spl2_34
  <=> sk_c9 = multiply(sk_c1,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_34])]) ).

fof(f836,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl2_27
    | ~ spl2_34 ),
    inference(superposition,[],[f578,f211]) ).

fof(f578,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | ~ spl2_34 ),
    inference(superposition,[],[f3,f292]) ).

fof(f292,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl2_34 ),
    inference(avatar_component_clause,[],[f291]) ).

fof(f779,plain,
    ( spl2_69
    | ~ spl2_25
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f767,f291,f199,f776]) ).

fof(f767,plain,
    ( identity = multiply(sk_c1,identity)
    | ~ spl2_25
    | ~ spl2_34 ),
    inference(superposition,[],[f578,f201]) ).

fof(f718,plain,
    ( spl2_47
    | ~ spl2_6
    | ~ spl2_35 ),
    inference(avatar_split_clause,[],[f717,f296,f73,f395]) ).

fof(f395,plain,
    ( spl2_47
  <=> sk_c7 = multiply(sk_c7,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_47])]) ).

fof(f717,plain,
    ( sk_c7 = multiply(sk_c7,sk_c3)
    | ~ spl2_6
    | ~ spl2_35 ),
    inference(forward_demodulation,[],[f714,f75]) ).

fof(f714,plain,
    ( multiply(sk_c6,sk_c9) = multiply(sk_c7,sk_c3)
    | ~ spl2_6
    | ~ spl2_35 ),
    inference(superposition,[],[f249,f298]) ).

fof(f298,plain,
    ( sk_c9 = multiply(sk_c9,sk_c3)
    | ~ spl2_35 ),
    inference(avatar_component_clause,[],[f296]) ).

fof(f683,plain,
    ( ~ spl2_42
    | ~ spl2_9
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f682,f291,f184,f157,f93,f357]) ).

fof(f93,plain,
    ( spl2_9
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).

fof(f157,plain,
    ( spl2_19
  <=> ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_19])]) ).

fof(f682,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl2_9
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_34 ),
    inference(subsumption_resolution,[],[f679,f292]) ).

fof(f679,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c9 != multiply(sk_c1,sk_c9)
    | ~ spl2_9
    | ~ spl2_19
    | ~ spl2_23 ),
    inference(superposition,[],[f678,f95]) ).

fof(f95,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl2_9 ),
    inference(avatar_component_clause,[],[f93]) ).

fof(f678,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl2_19
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f158,f185]) ).

fof(f185,plain,
    ( sk_c9 = sk_c8
    | ~ spl2_23 ),
    inference(avatar_component_clause,[],[f184]) ).

fof(f158,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c8)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl2_19 ),
    inference(avatar_component_clause,[],[f157]) ).

fof(f677,plain,
    ( ~ spl2_11
    | ~ spl2_12
    | ~ spl2_17
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(avatar_contradiction_clause,[],[f676]) ).

fof(f676,plain,
    ( $false
    | ~ spl2_11
    | ~ spl2_12
    | ~ spl2_17
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(subsumption_resolution,[],[f675,f125]) ).

fof(f125,plain,
    ( sk_c9 = inverse(sk_c2)
    | ~ spl2_12 ),
    inference(avatar_component_clause,[],[f123]) ).

fof(f123,plain,
    ( spl2_12
  <=> sk_c9 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).

fof(f675,plain,
    ( sk_c9 != inverse(sk_c2)
    | ~ spl2_11
    | ~ spl2_17
    | ~ spl2_23
    | ~ spl2_35 ),
    inference(subsumption_resolution,[],[f672,f298]) ).

fof(f672,plain,
    ( sk_c9 != multiply(sk_c9,sk_c3)
    | sk_c9 != inverse(sk_c2)
    | ~ spl2_11
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(superposition,[],[f638,f115]) ).

fof(f638,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != inverse(X5) )
    | ~ spl2_17
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f151,f185]) ).

fof(f151,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
        | sk_c9 != inverse(X5) )
    | ~ spl2_17 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl2_17
  <=> ! [X5] :
        ( sk_c9 != inverse(X5)
        | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_17])]) ).

fof(f657,plain,
    ( spl2_26
    | ~ spl2_9 ),
    inference(avatar_split_clause,[],[f656,f93,f204]) ).

fof(f656,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl2_9 ),
    inference(superposition,[],[f2,f95]) ).

fof(f634,plain,
    ( spl2_32
    | ~ spl2_1
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f633,f184,f49,f281]) ).

fof(f49,plain,
    ( spl2_1
  <=> multiply(sk_c9,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).

fof(f633,plain,
    ( sk_c7 = multiply(sk_c9,sk_c9)
    | ~ spl2_1
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f51,f185]) ).

fof(f51,plain,
    ( multiply(sk_c9,sk_c8) = sk_c7
    | ~ spl2_1 ),
    inference(avatar_component_clause,[],[f49]) ).

fof(f624,plain,
    ( identity != sk_c2
    | sk_c9 != inverse(sk_c2)
    | sk_c9 = inverse(identity) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f621,plain,
    ( identity != sk_c1
    | identity != sk_c6
    | sk_c9 != inverse(sk_c1)
    | sk_c9 = inverse(sk_c6) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f605,plain,
    ( ~ spl2_43
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_25
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(avatar_split_clause,[],[f604,f502,f286,f199,f184,f157,f361]) ).

fof(f286,plain,
    ( spl2_33
  <=> sk_c9 = multiply(sk_c5,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_33])]) ).

fof(f502,plain,
    ( spl2_54
  <=> sk_c5 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_54])]) ).

fof(f604,plain,
    ( sk_c9 != sk_c5
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_25
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(forward_demodulation,[],[f603,f1]) ).

fof(f603,plain,
    ( sk_c9 != multiply(identity,sk_c5)
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_25
    | ~ spl2_33
    | ~ spl2_54 ),
    inference(subsumption_resolution,[],[f599,f406]) ).

fof(f406,plain,
    ( ! [X0] : multiply(sk_c5,X0) = X0
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(superposition,[],[f318,f254]) ).

fof(f254,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl2_25 ),
    inference(forward_demodulation,[],[f242,f1]) ).

fof(f242,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | ~ spl2_25 ),
    inference(superposition,[],[f3,f201]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c5,multiply(sk_c9,X0))
    | ~ spl2_33 ),
    inference(superposition,[],[f3,f288]) ).

fof(f288,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl2_33 ),
    inference(avatar_component_clause,[],[f286]) ).

fof(f599,plain,
    ( sk_c9 != multiply(sk_c5,sk_c9)
    | sk_c9 != multiply(identity,sk_c5)
    | ~ spl2_19
    | ~ spl2_23
    | ~ spl2_54 ),
    inference(superposition,[],[f598,f504]) ).

fof(f504,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl2_54 ),
    inference(avatar_component_clause,[],[f502]) ).

fof(f598,plain,
    ( ! [X6] :
        ( sk_c9 != multiply(inverse(X6),sk_c9)
        | sk_c9 != multiply(X6,inverse(X6)) )
    | ~ spl2_19
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f158,f185]) ).

fof(f597,plain,
    ( ~ spl2_9
    | ~ spl2_37
    | ~ spl2_20
    | ~ spl2_34 ),
    inference(avatar_split_clause,[],[f586,f291,f160,f306,f93]) ).

fof(f586,plain,
    ( sk_c9 != sk_c7
    | sk_c9 != inverse(sk_c1)
    | ~ spl2_20
    | ~ spl2_34 ),
    inference(superposition,[],[f161,f292]) ).

fof(f596,plain,
    ( ~ spl2_6
    | ~ spl2_7
    | ~ spl2_20 ),
    inference(avatar_contradiction_clause,[],[f595]) ).

fof(f595,plain,
    ( $false
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_20 ),
    inference(subsumption_resolution,[],[f587,f80]) ).

fof(f587,plain,
    ( sk_c9 != inverse(sk_c6)
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(trivial_inequality_removal,[],[f585]) ).

fof(f585,plain,
    ( sk_c7 != sk_c7
    | sk_c9 != inverse(sk_c6)
    | ~ spl2_6
    | ~ spl2_20 ),
    inference(superposition,[],[f161,f75]) ).

fof(f574,plain,
    ( spl2_34
    | ~ spl2_8
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f573,f184,f83,f291]) ).

fof(f573,plain,
    ( sk_c9 = multiply(sk_c1,sk_c9)
    | ~ spl2_8
    | ~ spl2_23 ),
    inference(forward_demodulation,[],[f85,f185]) ).

fof(f563,plain,
    ( spl2_37
    | ~ spl2_3
    | ~ spl2_25
    | ~ spl2_31
    | ~ spl2_33
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f521,f490,f286,f264,f199,f58,f306]) ).

fof(f521,plain,
    ( sk_c9 = sk_c7
    | ~ spl2_3
    | ~ spl2_25
    | ~ spl2_31
    | ~ spl2_33
    | ~ spl2_53 ),
    inference(backward_demodulation,[],[f266,f512]) ).

fof(f512,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl2_3
    | ~ spl2_25
    | ~ spl2_33
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f511,f1]) ).

fof(f511,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,X0)
    | ~ spl2_3
    | ~ spl2_25
    | ~ spl2_33
    | ~ spl2_53 ),
    inference(forward_demodulation,[],[f482,f492]) ).

fof(f482,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c4,X0)
    | ~ spl2_3
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(backward_demodulation,[],[f246,f406]) ).

fof(f246,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c5,X0)) = multiply(sk_c9,X0)
    | ~ spl2_3 ),
    inference(superposition,[],[f3,f60]) ).

fof(f556,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != multiply(sk_c9,sk_c7)
    | sP1(multiply(sk_c9,sk_c8))
    | ~ sP1(sk_c7) ),
    introduced(theory_tautology_sat_conflict,[]) ).

fof(f505,plain,
    ( spl2_54
    | ~ spl2_4
    | ~ spl2_53 ),
    inference(avatar_split_clause,[],[f496,f490,f63,f502]) ).

fof(f63,plain,
    ( spl2_4
  <=> sk_c5 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).

fof(f496,plain,
    ( sk_c5 = inverse(identity)
    | ~ spl2_4
    | ~ spl2_53 ),
    inference(backward_demodulation,[],[f65,f492]) ).

fof(f65,plain,
    ( sk_c5 = inverse(sk_c4)
    | ~ spl2_4 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f493,plain,
    ( spl2_53
    | ~ spl2_24
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(avatar_split_clause,[],[f483,f286,f199,f194,f490]) ).

fof(f194,plain,
    ( spl2_24
  <=> identity = multiply(sk_c5,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_24])]) ).

fof(f483,plain,
    ( identity = sk_c4
    | ~ spl2_24
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(backward_demodulation,[],[f196,f406]) ).

fof(f196,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl2_24 ),
    inference(avatar_component_clause,[],[f194]) ).

fof(f420,plain,
    ( spl2_49
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(avatar_split_clause,[],[f410,f286,f199,f417]) ).

fof(f410,plain,
    ( identity = multiply(sk_c5,identity)
    | ~ spl2_25
    | ~ spl2_33 ),
    inference(superposition,[],[f318,f201]) ).

fof(f364,plain,
    ( ~ spl2_42
    | ~ spl2_43
    | ~ spl2_4
    | ~ spl2_16
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(avatar_split_clause,[],[f355,f347,f184,f147,f63,f361,f357]) ).

fof(f147,plain,
    ( spl2_16
  <=> ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).

fof(f355,plain,
    ( sk_c9 != sk_c5
    | sk_c9 != multiply(sk_c9,sk_c9)
    | ~ spl2_4
    | ~ spl2_16
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(forward_demodulation,[],[f353,f65]) ).

fof(f353,plain,
    ( sk_c9 != multiply(sk_c9,sk_c9)
    | sk_c9 != inverse(sk_c4)
    | ~ spl2_16
    | ~ spl2_23
    | ~ spl2_41 ),
    inference(superposition,[],[f276,f349]) ).

fof(f276,plain,
    ( ! [X3] :
        ( sk_c9 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) )
    | ~ spl2_16
    | ~ spl2_23 ),
    inference(backward_demodulation,[],[f148,f185]) ).

fof(f148,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) )
    | ~ spl2_16 ),
    inference(avatar_component_clause,[],[f147]) ).

fof(f350,plain,
    ( spl2_41
    | ~ spl2_3
    | ~ spl2_33 ),
    inference(avatar_split_clause,[],[f339,f286,f58,f347]) ).

fof(f339,plain,
    ( multiply(sk_c9,sk_c9) = multiply(sk_c4,sk_c9)
    | ~ spl2_3
    | ~ spl2_33 ),
    inference(superposition,[],[f246,f288]) ).

fof(f289,plain,
    ( spl2_33
    | ~ spl2_5
    | ~ spl2_23 ),
    inference(avatar_split_clause,[],[f273,f184,f68,f286]) ).

fof(f68,plain,
    ( spl2_5
  <=> sk_c9 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).

fof(f273,plain,
    ( sk_c9 = multiply(sk_c5,sk_c9)
    | ~ spl2_5
    | ~ spl2_23 ),
    inference(backward_demodulation,[],[f70,f185]) ).

fof(f70,plain,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | ~ spl2_5 ),
    inference(avatar_component_clause,[],[f68]) ).

fof(f271,plain,
    ( spl2_23
    | ~ spl2_2
    | ~ spl2_31 ),
    inference(avatar_split_clause,[],[f269,f264,f53,f184]) ).

fof(f53,plain,
    ( spl2_2
  <=> sk_c8 = multiply(sk_c9,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).

fof(f269,plain,
    ( sk_c9 = sk_c8
    | ~ spl2_2
    | ~ spl2_31 ),
    inference(backward_demodulation,[],[f55,f266]) ).

fof(f55,plain,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | ~ spl2_2 ),
    inference(avatar_component_clause,[],[f53]) ).

fof(f267,plain,
    ( spl2_31
    | ~ spl2_6
    | ~ spl2_25 ),
    inference(avatar_split_clause,[],[f261,f199,f73,f264]) ).

fof(f261,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl2_6
    | ~ spl2_25 ),
    inference(superposition,[],[f254,f75]) ).

fof(f227,plain,
    ( spl2_24
    | ~ spl2_4 ),
    inference(avatar_split_clause,[],[f226,f63,f194]) ).

fof(f226,plain,
    ( identity = multiply(sk_c5,sk_c4)
    | ~ spl2_4 ),
    inference(superposition,[],[f2,f65]) ).

fof(f225,plain,
    ( ~ spl2_8
    | ~ spl2_9
    | ~ spl2_16 ),
    inference(avatar_contradiction_clause,[],[f224]) ).

fof(f224,plain,
    ( $false
    | ~ spl2_8
    | ~ spl2_9
    | ~ spl2_16 ),
    inference(subsumption_resolution,[],[f223,f95]) ).

fof(f223,plain,
    ( sk_c9 != inverse(sk_c1)
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(trivial_inequality_removal,[],[f222]) ).

fof(f222,plain,
    ( sk_c8 != sk_c8
    | sk_c9 != inverse(sk_c1)
    | ~ spl2_8
    | ~ spl2_16 ),
    inference(superposition,[],[f148,f85]) ).

fof(f212,plain,
    ( spl2_27
    | ~ spl2_12 ),
    inference(avatar_split_clause,[],[f191,f123,f209]) ).

fof(f191,plain,
    ( identity = multiply(sk_c9,sk_c2)
    | ~ spl2_12 ),
    inference(superposition,[],[f2,f125]) ).

fof(f170,plain,
    ( ~ spl2_2
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_17 ),
    inference(avatar_contradiction_clause,[],[f169]) ).

fof(f169,plain,
    ( $false
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_7
    | ~ spl2_17 ),
    inference(subsumption_resolution,[],[f168,f80]) ).

fof(f168,plain,
    ( sk_c9 != inverse(sk_c6)
    | ~ spl2_2
    | ~ spl2_6
    | ~ spl2_17 ),
    inference(subsumption_resolution,[],[f167,f55]) ).

fof(f167,plain,
    ( sk_c8 != multiply(sk_c9,sk_c7)
    | sk_c9 != inverse(sk_c6)
    | ~ spl2_6
    | ~ spl2_17 ),
    inference(superposition,[],[f151,f75]) ).

fof(f166,plain,
    ( spl2_18
    | ~ spl2_2
    | ~ spl2_14 ),
    inference(avatar_split_clause,[],[f165,f138,f53,f153]) ).

fof(f153,plain,
    ( spl2_18
  <=> sP0(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_18])]) ).

fof(f138,plain,
    ( spl2_14
  <=> sP0(multiply(sk_c9,sk_c7)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).

fof(f165,plain,
    ( sP0(sk_c8)
    | ~ spl2_2
    | ~ spl2_14 ),
    inference(backward_demodulation,[],[f140,f55]) ).

fof(f140,plain,
    ( sP0(multiply(sk_c9,sk_c7))
    | ~ spl2_14 ),
    inference(avatar_component_clause,[],[f138]) ).

fof(f164,plain,
    ( ~ spl2_15
    | ~ spl2_1
    | spl2_13 ),
    inference(avatar_split_clause,[],[f163,f133,f49,f143]) ).

fof(f143,plain,
    ( spl2_15
  <=> sP1(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_15])]) ).

fof(f133,plain,
    ( spl2_13
  <=> sP1(multiply(sk_c9,sk_c8)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).

fof(f163,plain,
    ( ~ sP1(sk_c7)
    | ~ spl2_1
    | spl2_13 ),
    inference(backward_demodulation,[],[f135,f51]) ).

fof(f135,plain,
    ( ~ sP1(multiply(sk_c9,sk_c8))
    | spl2_13 ),
    inference(avatar_component_clause,[],[f133]) ).

fof(f162,plain,
    ( spl2_15
    | spl2_16
    | spl2_17
    | ~ spl2_18
    | spl2_19
    | spl2_20 ),
    inference(avatar_split_clause,[],[f47,f160,f157,f153,f150,f147,f143]) ).

fof(f47,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | ~ sP0(sk_c8)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sP1(sk_c7) ),
    inference(consistent_polarity_flipping,[],[f45]) ).

fof(f45,plain,
    ! [X3,X8,X6,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | sP0(sk_c8)
      | sk_c9 != inverse(X5)
      | sk_c8 != multiply(sk_c9,multiply(X5,sk_c9))
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sP1(sk_c7) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(inverse(X6),sk_c8)
      | sk_c9 != multiply(X6,inverse(X6))
      | sP0(sk_c8)
      | sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sP1(sk_c7) ),
    inference(equality_resolution,[],[f43]) ).

fof(f43,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(X7,sk_c8)
      | inverse(X6) != X7
      | sk_c9 != multiply(X6,X7)
      | sP0(sk_c8)
      | sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | sP1(sk_c7) ),
    inference(inequality_splitting,[],[f40,f42,f41]) ).

fof(f41,plain,
    ~ sP0(multiply(sk_c9,sk_c7)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f42,plain,
    ~ sP1(multiply(sk_c9,sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != inverse(X8)
      | sk_c7 != multiply(X8,sk_c9)
      | sk_c9 != multiply(X7,sk_c8)
      | inverse(X6) != X7
      | sk_c9 != multiply(X6,X7)
      | sk_c8 != multiply(sk_c9,sk_c7)
      | sk_c9 != inverse(X5)
      | multiply(X5,sk_c9) != X4
      | sk_c8 != multiply(sk_c9,X4)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9)
      | multiply(sk_c9,sk_c8) != sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).

fof(f141,plain,
    spl2_14,
    inference(avatar_split_clause,[],[f46,f138]) ).

fof(f46,plain,
    sP0(multiply(sk_c9,sk_c7)),
    inference(consistent_polarity_flipping,[],[f41]) ).

fof(f136,plain,
    ~ spl2_13,
    inference(avatar_split_clause,[],[f42,f133]) ).

fof(f131,plain,
    ( spl2_12
    | spl2_7 ),
    inference(avatar_split_clause,[],[f39,f78,f123]) ).

fof(f39,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f130,plain,
    ( spl2_12
    | spl2_6 ),
    inference(avatar_split_clause,[],[f38,f73,f123]) ).

fof(f38,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f126,plain,
    ( spl2_12
    | spl2_2 ),
    inference(avatar_split_clause,[],[f34,f53,f123]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c9 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f121,plain,
    ( spl2_11
    | spl2_7 ),
    inference(avatar_split_clause,[],[f33,f78,f113]) ).

fof(f33,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f120,plain,
    ( spl2_11
    | spl2_6 ),
    inference(avatar_split_clause,[],[f32,f73,f113]) ).

fof(f32,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).

fof(f116,plain,
    ( spl2_11
    | spl2_2 ),
    inference(avatar_split_clause,[],[f28,f53,f113]) ).

fof(f28,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).

fof(f111,plain,
    ( spl2_10
    | spl2_7 ),
    inference(avatar_split_clause,[],[f27,f78,f103]) ).

fof(f103,plain,
    ( spl2_10
  <=> sk_c8 = multiply(sk_c9,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).

fof(f27,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f110,plain,
    ( spl2_10
    | spl2_6 ),
    inference(avatar_split_clause,[],[f26,f73,f103]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f106,plain,
    ( spl2_10
    | spl2_2 ),
    inference(avatar_split_clause,[],[f22,f53,f103]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c8 = multiply(sk_c9,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f101,plain,
    ( spl2_9
    | spl2_7 ),
    inference(avatar_split_clause,[],[f21,f78,f93]) ).

fof(f21,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).

fof(f100,plain,
    ( spl2_9
    | spl2_6 ),
    inference(avatar_split_clause,[],[f20,f73,f93]) ).

fof(f20,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f99,plain,
    ( spl2_9
    | spl2_5 ),
    inference(avatar_split_clause,[],[f19,f68,f93]) ).

fof(f19,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).

fof(f98,plain,
    ( spl2_9
    | spl2_4 ),
    inference(avatar_split_clause,[],[f18,f63,f93]) ).

fof(f18,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f97,plain,
    ( spl2_9
    | spl2_3 ),
    inference(avatar_split_clause,[],[f17,f58,f93]) ).

fof(f17,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f96,plain,
    ( spl2_9
    | spl2_2 ),
    inference(avatar_split_clause,[],[f16,f53,f93]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).

fof(f91,plain,
    ( spl2_8
    | spl2_7 ),
    inference(avatar_split_clause,[],[f15,f78,f83]) ).

fof(f15,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).

fof(f90,plain,
    ( spl2_8
    | spl2_6 ),
    inference(avatar_split_clause,[],[f14,f73,f83]) ).

fof(f14,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f89,plain,
    ( spl2_8
    | spl2_5 ),
    inference(avatar_split_clause,[],[f13,f68,f83]) ).

fof(f13,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f88,plain,
    ( spl2_8
    | spl2_4 ),
    inference(avatar_split_clause,[],[f12,f63,f83]) ).

fof(f12,axiom,
    ( sk_c5 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f87,plain,
    ( spl2_8
    | spl2_3 ),
    inference(avatar_split_clause,[],[f11,f58,f83]) ).

fof(f11,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f86,plain,
    ( spl2_8
    | spl2_2 ),
    inference(avatar_split_clause,[],[f10,f53,f83]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c9,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f81,plain,
    ( spl2_1
    | spl2_7 ),
    inference(avatar_split_clause,[],[f9,f78,f49]) ).

fof(f9,axiom,
    ( sk_c9 = inverse(sk_c6)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).

fof(f76,plain,
    ( spl2_1
    | spl2_6 ),
    inference(avatar_split_clause,[],[f8,f73,f49]) ).

fof(f8,axiom,
    ( sk_c7 = multiply(sk_c6,sk_c9)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).

fof(f71,plain,
    ( spl2_1
    | spl2_5 ),
    inference(avatar_split_clause,[],[f7,f68,f49]) ).

fof(f7,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c8)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f66,plain,
    ( spl2_1
    | spl2_4 ),
    inference(avatar_split_clause,[],[f6,f63,f49]) ).

fof(f6,axiom,
    ( sk_c5 = inverse(sk_c4)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f61,plain,
    ( spl2_1
    | spl2_3 ),
    inference(avatar_split_clause,[],[f5,f58,f49]) ).

fof(f5,axiom,
    ( sk_c9 = multiply(sk_c4,sk_c5)
    | multiply(sk_c9,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : GRP280-1 : TPTP v8.2.0. Released v2.5.0.
% 0.12/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.35  % Computer : n011.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 06:02:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.13/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.73  % (26891)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)
% 0.56/0.73  % (26892)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)
% 0.56/0.74  % (26896)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)
% 0.56/0.74  % (26898)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)
% 0.56/0.74  % (26897)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)
% 0.56/0.74  % (26891)Refutation not found, incomplete strategy% (26891)------------------------------
% 0.56/0.74  % (26891)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26891)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26891)Memory used [KB]: 1010
% 0.56/0.74  % (26891)Time elapsed: 0.003 s
% 0.56/0.74  % (26891)Instructions burned: 4 (million)
% 0.56/0.74  % (26891)------------------------------
% 0.56/0.74  % (26891)------------------------------
% 0.56/0.74  % (26894)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)
% 0.56/0.74  % (26895)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)
% 0.56/0.74  % (26893)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.56/0.74  % (26898)Refutation not found, incomplete strategy% (26898)------------------------------
% 0.56/0.74  % (26898)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26898)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26898)Memory used [KB]: 995
% 0.56/0.74  % (26898)Time elapsed: 0.003 s
% 0.56/0.74  % (26898)Instructions burned: 4 (million)
% 0.56/0.74  % (26898)------------------------------
% 0.56/0.74  % (26898)------------------------------
% 0.56/0.74  % (26894)Refutation not found, incomplete strategy% (26894)------------------------------
% 0.56/0.74  % (26894)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26894)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26894)Memory used [KB]: 991
% 0.56/0.74  % (26894)Time elapsed: 0.002 s
% 0.56/0.74  % (26894)Instructions burned: 4 (million)
% 0.56/0.74  % (26895)Refutation not found, incomplete strategy% (26895)------------------------------
% 0.56/0.74  % (26895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26895)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26895)Memory used [KB]: 1009
% 0.56/0.74  % (26895)Time elapsed: 0.002 s
% 0.56/0.74  % (26895)Instructions burned: 5 (million)
% 0.56/0.74  % (26894)------------------------------
% 0.56/0.74  % (26894)------------------------------
% 0.56/0.74  % (26895)------------------------------
% 0.56/0.74  % (26895)------------------------------
% 0.56/0.74  % (26900)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)
% 0.56/0.74  % (26899)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)
% 0.56/0.74  % (26902)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)
% 0.56/0.74  % (26900)Refutation not found, incomplete strategy% (26900)------------------------------
% 0.56/0.74  % (26900)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.74  % (26900)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.74  
% 0.56/0.74  % (26900)Memory used [KB]: 1001
% 0.56/0.74  % (26900)Time elapsed: 0.003 s
% 0.56/0.74  % (26900)Instructions burned: 6 (million)
% 0.56/0.74  % (26900)------------------------------
% 0.56/0.74  % (26900)------------------------------
% 0.56/0.74  % (26901)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)
% 0.56/0.75  % (26896)Instruction limit reached!
% 0.56/0.75  % (26896)------------------------------
% 0.56/0.75  % (26896)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26896)Termination reason: Unknown
% 0.56/0.75  % (26896)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (26896)Memory used [KB]: 1591
% 0.56/0.75  % (26896)Time elapsed: 0.014 s
% 0.56/0.75  % (26896)Instructions burned: 47 (million)
% 0.56/0.75  % (26896)------------------------------
% 0.56/0.75  % (26896)------------------------------
% 0.56/0.75  % (26903)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)
% 0.56/0.75  % (26904)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)
% 0.56/0.75  % (26904)Refutation not found, incomplete strategy% (26904)------------------------------
% 0.56/0.75  % (26904)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26904)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.75  
% 0.56/0.75  % (26904)Memory used [KB]: 1016
% 0.56/0.75  % (26904)Time elapsed: 0.002 s
% 0.56/0.75  % (26904)Instructions burned: 4 (million)
% 0.56/0.75  % (26904)------------------------------
% 0.56/0.75  % (26904)------------------------------
% 0.56/0.75  % (26892)Instruction limit reached!
% 0.56/0.75  % (26892)------------------------------
% 0.56/0.75  % (26892)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26892)Termination reason: Unknown
% 0.56/0.75  % (26892)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (26892)Memory used [KB]: 1683
% 0.56/0.75  % (26892)Time elapsed: 0.019 s
% 0.56/0.75  % (26892)Instructions burned: 53 (million)
% 0.56/0.75  % (26892)------------------------------
% 0.56/0.75  % (26892)------------------------------
% 0.56/0.75  % (26902)Instruction limit reached!
% 0.56/0.75  % (26902)------------------------------
% 0.56/0.75  % (26902)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.75  % (26902)Termination reason: Unknown
% 0.56/0.75  % (26902)Termination phase: Saturation
% 0.56/0.75  
% 0.56/0.75  % (26902)Memory used [KB]: 1535
% 0.56/0.75  % (26902)Time elapsed: 0.014 s
% 0.56/0.75  % (26902)Instructions burned: 52 (million)
% 0.56/0.75  % (26902)------------------------------
% 0.56/0.75  % (26902)------------------------------
% 0.56/0.76  % (26907)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)
% 0.56/0.76  % (26907)Refutation not found, incomplete strategy% (26907)------------------------------
% 0.56/0.76  % (26907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (26907)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26907)Memory used [KB]: 996
% 0.56/0.76  % (26907)Time elapsed: 0.002 s
% 0.56/0.76  % (26907)Instructions burned: 4 (million)
% 0.56/0.76  % (26906)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)
% 0.56/0.76  % (26907)------------------------------
% 0.56/0.76  % (26907)------------------------------
% 0.56/0.76  % (26908)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)
% 0.56/0.76  % (26908)Refutation not found, incomplete strategy% (26908)------------------------------
% 0.56/0.76  % (26908)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (26908)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26908)Memory used [KB]: 1011
% 0.56/0.76  % (26908)Time elapsed: 0.002 s
% 0.56/0.76  % (26908)Instructions burned: 4 (million)
% 0.56/0.76  % (26908)------------------------------
% 0.56/0.76  % (26908)------------------------------
% 0.56/0.76  % (26909)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)
% 0.56/0.76  % (26910)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)
% 0.56/0.76  % (26910)Refutation not found, incomplete strategy% (26910)------------------------------
% 0.56/0.76  % (26910)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (26910)Termination reason: Refutation not found, incomplete strategy
% 0.56/0.76  
% 0.56/0.76  % (26910)Memory used [KB]: 996
% 0.56/0.76  % (26910)Time elapsed: 0.002 s
% 0.56/0.76  % (26910)Instructions burned: 3 (million)
% 0.56/0.76  % (26910)------------------------------
% 0.56/0.76  % (26910)------------------------------
% 0.56/0.77  % (26899)Instruction limit reached!
% 0.56/0.77  % (26899)------------------------------
% 0.56/0.77  % (26899)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.77  % (26899)Termination reason: Unknown
% 0.56/0.77  % (26899)Termination phase: Saturation
% 0.56/0.77  
% 0.56/0.77  % (26899)Memory used [KB]: 1579
% 0.56/0.77  % (26899)Time elapsed: 0.026 s
% 0.56/0.77  % (26899)Instructions burned: 56 (million)
% 0.56/0.77  % (26899)------------------------------
% 0.56/0.77  % (26899)------------------------------
% 0.56/0.77  % (26911)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)
% 0.68/0.77  % (26893)Instruction limit reached!
% 0.68/0.77  % (26893)------------------------------
% 0.68/0.77  % (26893)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26893)Termination reason: Unknown
% 0.68/0.77  % (26893)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (26893)Memory used [KB]: 1657
% 0.68/0.77  % (26893)Time elapsed: 0.036 s
% 0.68/0.77  % (26893)Instructions burned: 78 (million)
% 0.68/0.77  % (26893)------------------------------
% 0.68/0.77  % (26893)------------------------------
% 0.68/0.77  % (26897)Instruction limit reached!
% 0.68/0.77  % (26897)------------------------------
% 0.68/0.77  % (26897)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26897)Termination reason: Unknown
% 0.68/0.77  % (26897)Termination phase: Saturation
% 0.68/0.77  
% 0.68/0.77  % (26897)Memory used [KB]: 1732
% 0.68/0.77  % (26897)Time elapsed: 0.037 s
% 0.68/0.77  % (26897)Instructions burned: 83 (million)
% 0.68/0.77  % (26897)------------------------------
% 0.68/0.77  % (26897)------------------------------
% 0.68/0.77  % (26906)Refutation not found, incomplete strategy% (26906)------------------------------
% 0.68/0.77  % (26906)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77  % (26906)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.77  
% 0.68/0.77  % (26906)Memory used [KB]: 1261
% 0.68/0.77  % (26906)Time elapsed: 0.015 s
% 0.68/0.77  % (26906)Instructions burned: 53 (million)
% 0.68/0.77  % (26906)------------------------------
% 0.68/0.77  % (26906)------------------------------
% 0.68/0.77  % (26912)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 (2995ds/1919Mi)
% 0.68/0.77  % (26913)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 (2995ds/55Mi)
% 0.68/0.77  % (26914)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 (2995ds/53Mi)
% 0.68/0.78  % (26913)Refutation not found, incomplete strategy% (26913)------------------------------
% 0.68/0.78  % (26913)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (26913)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (26913)Memory used [KB]: 1098
% 0.68/0.78  % (26913)Time elapsed: 0.002 s
% 0.68/0.78  % (26913)Instructions burned: 5 (million)
% 0.68/0.78  % (26913)------------------------------
% 0.68/0.78  % (26913)------------------------------
% 0.68/0.78  % (26915)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 (2995ds/46Mi)
% 0.68/0.78  % (26915)Refutation not found, incomplete strategy% (26915)------------------------------
% 0.68/0.78  % (26915)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (26915)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.78  
% 0.68/0.78  % (26915)Memory used [KB]: 1000
% 0.68/0.78  % (26915)Time elapsed: 0.002 s
% 0.68/0.78  % (26915)Instructions burned: 4 (million)
% 0.68/0.78  % (26915)------------------------------
% 0.68/0.78  % (26915)------------------------------
% 0.68/0.78  % (26916)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 (2995ds/102Mi)
% 0.68/0.78  % (26911)Instruction limit reached!
% 0.68/0.78  % (26911)------------------------------
% 0.68/0.78  % (26911)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78  % (26911)Termination reason: Unknown
% 0.68/0.78  % (26911)Termination phase: Saturation
% 0.68/0.78  
% 0.68/0.78  % (26911)Memory used [KB]: 1365
% 0.68/0.78  % (26911)Time elapsed: 0.017 s
% 0.68/0.78  % (26911)Instructions burned: 33 (million)
% 0.68/0.78  % (26911)------------------------------
% 0.68/0.78  % (26911)------------------------------
% 0.68/0.78  % (26917)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 (2995ds/35Mi)
% 0.68/0.79  % (26918)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on theBenchmark for (2995ds/87Mi)
% 0.68/0.79  % (26909)Instruction limit reached!
% 0.68/0.79  % (26909)------------------------------
% 0.68/0.79  % (26909)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79  % (26909)Termination reason: Unknown
% 0.68/0.79  % (26909)Termination phase: Saturation
% 0.68/0.79  
% 0.68/0.79  % (26909)Memory used [KB]: 2274
% 0.68/0.79  % (26909)Time elapsed: 0.030 s
% 0.68/0.79  % (26909)Instructions burned: 94 (million)
% 0.68/0.79  % (26909)------------------------------
% 0.68/0.79  % (26909)------------------------------
% 0.68/0.79  % (26919)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 (2995ds/109Mi)
% 0.68/0.80  % (26914)Instruction limit reached!
% 0.68/0.80  % (26914)------------------------------
% 0.68/0.80  % (26914)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (26914)Termination reason: Unknown
% 0.68/0.80  % (26914)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (26914)Memory used [KB]: 1193
% 0.68/0.80  % (26914)Time elapsed: 0.023 s
% 0.68/0.80  % (26914)Instructions burned: 55 (million)
% 0.68/0.80  % (26914)------------------------------
% 0.68/0.80  % (26914)------------------------------
% 0.68/0.80  % (26920)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 (2995ds/161Mi)
% 0.68/0.80  % (26920)Refutation not found, incomplete strategy% (26920)------------------------------
% 0.68/0.80  % (26920)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (26920)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.80  
% 0.68/0.80  % (26920)Memory used [KB]: 990
% 0.68/0.80  % (26920)Time elapsed: 0.002 s
% 0.68/0.80  % (26920)Instructions burned: 4 (million)
% 0.68/0.80  % (26920)------------------------------
% 0.68/0.80  % (26920)------------------------------
% 0.68/0.80  % (26917)Instruction limit reached!
% 0.68/0.80  % (26917)------------------------------
% 0.68/0.80  % (26917)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.80  % (26917)Termination reason: Unknown
% 0.68/0.80  % (26917)Termination phase: Saturation
% 0.68/0.80  
% 0.68/0.80  % (26917)Memory used [KB]: 1162
% 0.68/0.80  % (26917)Time elapsed: 0.018 s
% 0.68/0.80  % (26917)Instructions burned: 35 (million)
% 0.68/0.80  % (26917)------------------------------
% 0.68/0.80  % (26917)------------------------------
% 0.68/0.80  % (26921)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)
% 0.68/0.80  % (26922)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)
% 0.68/0.81  % (26921)Refutation not found, incomplete strategy% (26921)------------------------------
% 0.68/0.81  % (26921)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (26921)Termination reason: Refutation not found, incomplete strategy
% 0.68/0.81  
% 0.68/0.81  % (26921)Memory used [KB]: 1019
% 0.68/0.81  % (26921)Time elapsed: 0.003 s
% 0.68/0.81  % (26921)Instructions burned: 4 (million)
% 0.68/0.81  % (26921)------------------------------
% 0.68/0.81  % (26921)------------------------------
% 0.68/0.81  % (26901)Instruction limit reached!
% 0.68/0.81  % (26901)------------------------------
% 0.68/0.81  % (26901)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (26901)Termination reason: Unknown
% 0.68/0.81  % (26901)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (26901)Memory used [KB]: 2574
% 0.68/0.81  % (26901)Time elapsed: 0.065 s
% 0.68/0.81  % (26901)Instructions burned: 208 (million)
% 0.68/0.81  % (26901)------------------------------
% 0.68/0.81  % (26901)------------------------------
% 0.68/0.81  % (26918)Instruction limit reached!
% 0.68/0.81  % (26918)------------------------------
% 0.68/0.81  % (26918)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.81  % (26918)Termination reason: Unknown
% 0.68/0.81  % (26918)Termination phase: Saturation
% 0.68/0.81  
% 0.68/0.81  % (26918)Memory used [KB]: 1447
% 0.68/0.81  % (26918)Time elapsed: 0.024 s
% 0.68/0.81  % (26918)Instructions burned: 88 (million)
% 0.68/0.81  % (26918)------------------------------
% 0.68/0.81  % (26918)------------------------------
% 0.68/0.81  % (26925)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on theBenchmark for (2995ds/80Mi)
% 0.68/0.81  % (26924)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on theBenchmark for (2995ds/161Mi)
% 0.68/0.82  % (26916)Instruction limit reached!
% 0.68/0.82  % (26916)------------------------------
% 0.68/0.82  % (26916)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (26916)Termination reason: Unknown
% 0.68/0.82  % (26916)Termination phase: Saturation
% 0.68/0.82  
% 0.68/0.82  % (26916)Memory used [KB]: 2437
% 0.68/0.82  % (26916)Time elapsed: 0.038 s
% 0.68/0.82  % (26916)Instructions burned: 102 (million)
% 0.68/0.82  % (26916)------------------------------
% 0.68/0.82  % (26916)------------------------------
% 0.68/0.82  % (26923)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)
% 0.68/0.82  % (26922)Instruction limit reached!
% 0.68/0.82  % (26922)------------------------------
% 0.68/0.82  % (26922)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.82  % (26922)Termination reason: Unknown
% 0.68/0.82  % (26922)Termination phase: Saturation
% 0.68/0.82  
% 0.68/0.82  % (26922)Memory used [KB]: 1657
% 0.68/0.82  % (26922)Time elapsed: 0.040 s
% 0.68/0.82  % (26922)Instructions burned: 42 (million)
% 0.68/0.82  % (26922)------------------------------
% 0.68/0.82  % (26922)------------------------------
% 0.68/0.83  % (26927)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on theBenchmark for (2995ds/55Mi)
% 0.68/0.83  % (26926)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on theBenchmark for (2995ds/37Mi)
% 0.68/0.83  % (26919)First to succeed.
% 0.68/0.83  % (26919)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26890"
% 0.68/0.83  % (26919)Refutation found. Thanks to Tanya!
% 0.68/0.83  % SZS status Unsatisfiable for theBenchmark
% 0.68/0.83  % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.83  % (26919)------------------------------
% 0.68/0.83  % (26919)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.83  % (26919)Termination reason: Refutation
% 0.68/0.83  
% 0.68/0.83  % (26919)Memory used [KB]: 1809
% 0.68/0.83  % (26919)Time elapsed: 0.040 s
% 0.68/0.83  % (26919)Instructions burned: 107 (million)
% 0.68/0.83  % (26890)Success in time 0.461 s
% 0.68/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------