TSTP Solution File: GRP389-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : GRP389-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n013.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 16:15:39 EDT 2022

% Result   : Unsatisfiable 2.29s 0.72s
% Output   : Refutation 2.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  351 (  39 unt;   0 def)
%            Number of atoms       : 1075 ( 432 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives : 1369 ( 645   ~; 703   |;   0   &)
%                                         (  21 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   23 (  21 usr;  22 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  27 con; 0-2 aty)
%            Number of variables   :   79 (  79   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1583,plain,
    $false,
    inference(avatar_sat_refutation,[],[f139,f166,f167,f177,f189,f190,f191,f192,f198,f199,f201,f206,f207,f208,f230,f231,f234,f235,f236,f237,f238,f239,f240,f241,f243,f244,f245,f246,f248,f249,f250,f254,f257,f453,f580,f755,f786,f808,f848,f877,f974,f999,f1098,f1161,f1409,f1581]) ).

fof(f1581,plain,
    ( ~ spl15_6
    | ~ spl15_13
    | ~ spl15_17
    | ~ spl15_34 ),
    inference(avatar_contradiction_clause,[],[f1580]) ).

fof(f1580,plain,
    ( $false
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_17
    | ~ spl15_34 ),
    inference(subsumption_resolution,[],[f1578,f1412]) ).

fof(f1412,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl15_6 ),
    inference(backward_demodulation,[],[f61,f156]) ).

fof(f156,plain,
    ( sk_c11 = sF0
    | ~ spl15_6 ),
    inference(avatar_component_clause,[],[f154]) ).

fof(f154,plain,
    ( spl15_6
  <=> sk_c11 = sF0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).

fof(f61,plain,
    inverse(sk_c1) = sF0,
    introduced(function_definition,[]) ).

fof(f1578,plain,
    ( sk_c11 != inverse(sk_c1)
    | ~ spl15_13
    | ~ spl15_17
    | ~ spl15_34 ),
    inference(trivial_inequality_removal,[],[f1575]) ).

fof(f1575,plain,
    ( sk_c11 != inverse(sk_c1)
    | sk_c11 != sk_c11
    | ~ spl15_13
    | ~ spl15_17
    | ~ spl15_34 ),
    inference(superposition,[],[f1414,f1052]) ).

fof(f1052,plain,
    ( sk_c11 = multiply(sk_c1,identity)
    | ~ spl15_13
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f660,f758]) ).

fof(f758,plain,
    ( identity = sk_c10
    | ~ spl15_34 ),
    inference(avatar_component_clause,[],[f757]) ).

fof(f757,plain,
    ( spl15_34
  <=> identity = sk_c10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).

fof(f660,plain,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f97,f197]) ).

fof(f197,plain,
    ( sk_c11 = sF14
    | ~ spl15_13 ),
    inference(avatar_component_clause,[],[f195]) ).

fof(f195,plain,
    ( spl15_13
  <=> sk_c11 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).

fof(f97,plain,
    multiply(sk_c1,sk_c10) = sF14,
    introduced(function_definition,[]) ).

fof(f1414,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | sk_c11 != inverse(X3) )
    | ~ spl15_17
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f223,f758]) ).

fof(f223,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,sk_c10)
        | sk_c11 != inverse(X3) )
    | ~ spl15_17 ),
    inference(avatar_component_clause,[],[f222]) ).

fof(f222,plain,
    ( spl15_17
  <=> ! [X3] :
        ( sk_c11 != multiply(X3,sk_c10)
        | sk_c11 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).

fof(f1409,plain,
    ( ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(avatar_contradiction_clause,[],[f1408]) ).

fof(f1408,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(subsumption_resolution,[],[f1403,f1328]) ).

fof(f1328,plain,
    ( sk_c4 = inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1304,f1310]) ).

fof(f1310,plain,
    ( sk_c4 = sk_c11
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f1272,f1307]) ).

fof(f1307,plain,
    ( sk_c4 = multiply(inverse(sk_c11),identity)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f838,f147]) ).

fof(f147,plain,
    ( sk_c11 = sF12
    | ~ spl15_4 ),
    inference(avatar_component_clause,[],[f145]) ).

fof(f145,plain,
    ( spl15_4
  <=> sk_c11 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).

fof(f838,plain,
    sk_c4 = multiply(inverse(sF12),identity),
    inference(superposition,[],[f286,f687]) ).

fof(f687,plain,
    identity = multiply(sF12,sk_c4),
    inference(superposition,[],[f2,f84]) ).

fof(f84,plain,
    inverse(sk_c4) = sF12,
    introduced(function_definition,[]) ).

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

fof(f286,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
    inference(forward_demodulation,[],[f276,f1]) ).

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

fof(f276,plain,
    ! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
    inference(superposition,[],[f3,f2]) ).

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(f1272,plain,
    ( sk_c11 = multiply(inverse(sk_c11),identity)
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f1245,f171]) ).

fof(f171,plain,
    ( sk_c11 = sF2
    | ~ spl15_9 ),
    inference(avatar_component_clause,[],[f169]) ).

fof(f169,plain,
    ( spl15_9
  <=> sk_c11 = sF2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).

fof(f1245,plain,
    ( sk_c11 = multiply(inverse(sF2),identity)
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(superposition,[],[f286,f1060]) ).

fof(f1060,plain,
    ( identity = multiply(sF2,sk_c11)
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1058,f64]) ).

fof(f64,plain,
    inverse(sk_c6) = sF2,
    introduced(function_definition,[]) ).

fof(f1058,plain,
    ( identity = multiply(inverse(sk_c6),sk_c11)
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(superposition,[],[f286,f1051]) ).

fof(f1051,plain,
    ( sk_c11 = multiply(sk_c6,identity)
    | ~ spl15_11
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1050,f758]) ).

fof(f1050,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl15_11 ),
    inference(forward_demodulation,[],[f75,f183]) ).

fof(f183,plain,
    ( sk_c11 = sF8
    | ~ spl15_11 ),
    inference(avatar_component_clause,[],[f181]) ).

fof(f181,plain,
    ( spl15_11
  <=> sk_c11 = sF8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).

fof(f75,plain,
    multiply(sk_c6,sk_c10) = sF8,
    introduced(function_definition,[]) ).

fof(f1304,plain,
    ( sk_c11 = inverse(sk_c4)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f84,f147]) ).

fof(f1403,plain,
    ( sk_c4 != inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(trivial_inequality_removal,[],[f1402]) ).

fof(f1402,plain,
    ( identity != identity
    | sk_c4 != inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(superposition,[],[f1341,f1315]) ).

fof(f1315,plain,
    ( identity = multiply(sk_c4,sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f887,f1310]) ).

fof(f887,plain,
    ( identity = multiply(sk_c4,sk_c11)
    | ~ spl15_12
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f263,f758]) ).

fof(f263,plain,
    ( sk_c10 = multiply(sk_c4,sk_c11)
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f69,f188]) ).

fof(f188,plain,
    ( sk_c10 = sF5
    | ~ spl15_12 ),
    inference(avatar_component_clause,[],[f186]) ).

fof(f186,plain,
    ( spl15_12
  <=> sk_c10 = sF5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).

fof(f69,plain,
    multiply(sk_c4,sk_c11) = sF5,
    introduced(function_definition,[]) ).

fof(f1341,plain,
    ( ! [X6] :
        ( identity != multiply(X6,sk_c4)
        | sk_c4 != inverse(X6) )
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1340,f758]) ).

fof(f1340,plain,
    ( ! [X6] :
        ( sk_c4 != inverse(X6)
        | sk_c10 != multiply(X6,sk_c4) )
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1339,f1310]) ).

fof(f1339,plain,
    ( ! [X6] :
        ( sk_c11 != inverse(X6)
        | sk_c10 != multiply(X6,sk_c4) )
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f229,f1310]) ).

fof(f229,plain,
    ( ! [X6] :
        ( sk_c10 != multiply(X6,sk_c11)
        | sk_c11 != inverse(X6) )
    | ~ spl15_19 ),
    inference(avatar_component_clause,[],[f228]) ).

fof(f228,plain,
    ( spl15_19
  <=> ! [X6] :
        ( sk_c11 != inverse(X6)
        | sk_c10 != multiply(X6,sk_c11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).

fof(f1161,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | spl15_5
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(avatar_contradiction_clause,[],[f1160]) ).

fof(f1160,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | spl15_5
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(subsumption_resolution,[],[f1159,f881]) ).

fof(f881,plain,
    ( identity != sF7
    | spl15_5
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f151,f758]) ).

fof(f151,plain,
    ( sk_c10 != sF7
    | spl15_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f150,plain,
    ( spl15_5
  <=> sk_c10 = sF7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).

fof(f1159,plain,
    ( identity = sF7
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f1154,f952]) ).

fof(f952,plain,
    ( identity = inverse(identity)
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f947,f951]) ).

fof(f951,plain,
    ( identity = sk_c2
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f945,f2]) ).

fof(f945,plain,
    ( sk_c2 = multiply(inverse(identity),identity)
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f645,f943]) ).

fof(f943,plain,
    ( identity = sk_c3
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f894,f941]) ).

fof(f941,plain,
    ( ! [X16] : multiply(sk_c3,X16) = X16
    | ~ spl15_1
    | ~ spl15_8
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f940,f1]) ).

fof(f940,plain,
    ( ! [X16] : multiply(sk_c3,X16) = multiply(identity,X16)
    | ~ spl15_1
    | ~ spl15_8
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f903,f926]) ).

fof(f926,plain,
    ( ! [X0] : multiply(sk_c9,X0) = X0
    | ~ spl15_8
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f906,f1]) ).

fof(f906,plain,
    ( ! [X0] : multiply(sk_c9,multiply(identity,X0)) = X0
    | ~ spl15_8
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f659,f758]) ).

fof(f659,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c10,X0)) = X0
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f297,f165]) ).

fof(f165,plain,
    ( sk_c9 = sF4
    | ~ spl15_8 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f163,plain,
    ( spl15_8
  <=> sk_c9 = sF4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).

fof(f297,plain,
    ! [X0] : multiply(sF4,multiply(sk_c10,X0)) = X0,
    inference(forward_demodulation,[],[f296,f1]) ).

fof(f296,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF4,multiply(sk_c10,X0)),
    inference(superposition,[],[f3,f267]) ).

fof(f267,plain,
    identity = multiply(sF4,sk_c10),
    inference(superposition,[],[f2,f67]) ).

fof(f67,plain,
    inverse(sk_c10) = sF4,
    introduced(function_definition,[]) ).

fof(f903,plain,
    ( ! [X16] : multiply(identity,X16) = multiply(sk_c3,multiply(sk_c9,X16))
    | ~ spl15_1
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f656,f758]) ).

fof(f656,plain,
    ( ! [X16] : multiply(sk_c10,X16) = multiply(sk_c3,multiply(sk_c9,X16))
    | ~ spl15_1 ),
    inference(forward_demodulation,[],[f285,f134]) ).

fof(f134,plain,
    ( sk_c10 = sF10
    | ~ spl15_1 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f132,plain,
    ( spl15_1
  <=> sk_c10 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).

fof(f285,plain,
    ! [X16] : multiply(sF10,X16) = multiply(sk_c3,multiply(sk_c9,X16)),
    inference(superposition,[],[f3,f79]) ).

fof(f79,plain,
    multiply(sk_c3,sk_c9) = sF10,
    introduced(function_definition,[]) ).

fof(f894,plain,
    ( sk_c3 = multiply(sk_c3,identity)
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f642,f758]) ).

fof(f642,plain,
    ( sk_c3 = multiply(sk_c3,sk_c10)
    | ~ spl15_3
    | ~ spl15_10 ),
    inference(backward_demodulation,[],[f641,f143]) ).

fof(f143,plain,
    ( sk_c10 = sF11
    | ~ spl15_3 ),
    inference(avatar_component_clause,[],[f141]) ).

fof(f141,plain,
    ( spl15_3
  <=> sk_c10 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).

fof(f641,plain,
    ( sk_c3 = multiply(sk_c3,sF11)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f333,f176]) ).

fof(f176,plain,
    ( sk_c3 = sF6
    | ~ spl15_10 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f174,plain,
    ( spl15_10
  <=> sk_c3 = sF6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).

fof(f333,plain,
    sk_c3 = multiply(sF6,sF11),
    inference(forward_demodulation,[],[f323,f70]) ).

fof(f70,plain,
    inverse(sk_c2) = sF6,
    introduced(function_definition,[]) ).

fof(f323,plain,
    sk_c3 = multiply(inverse(sk_c2),sF11),
    inference(superposition,[],[f286,f81]) ).

fof(f81,plain,
    multiply(sk_c2,sk_c3) = sF11,
    introduced(function_definition,[]) ).

fof(f645,plain,
    ( sk_c2 = multiply(inverse(sk_c3),identity)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f327,f176]) ).

fof(f327,plain,
    sk_c2 = multiply(inverse(sF6),identity),
    inference(superposition,[],[f286,f273]) ).

fof(f273,plain,
    identity = multiply(sF6,sk_c2),
    inference(superposition,[],[f2,f70]) ).

fof(f947,plain,
    ( identity = inverse(sk_c2)
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f655,f943]) ).

fof(f655,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f70,f176]) ).

fof(f1154,plain,
    ( sF7 = inverse(identity)
    | ~ spl15_8
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f73,f1147]) ).

fof(f1147,plain,
    ( identity = sk_c5
    | ~ spl15_8
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(superposition,[],[f927,f823]) ).

fof(f823,plain,
    identity = multiply(sF7,sk_c5),
    inference(superposition,[],[f2,f73]) ).

fof(f927,plain,
    ( ! [X0] : multiply(sF7,X0) = X0
    | ~ spl15_8
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f924,f926]) ).

fof(f924,plain,
    ( ! [X0] : multiply(sF7,multiply(sk_c9,X0)) = X0
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f822,f923]) ).

fof(f923,plain,
    ( ! [X10] : multiply(sk_c5,X10) = multiply(sk_c9,X10)
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f890,f1]) ).

fof(f890,plain,
    ( ! [X10] : multiply(sk_c5,multiply(identity,X10)) = multiply(sk_c9,X10)
    | ~ spl15_15
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f279,f758]) ).

fof(f279,plain,
    ( ! [X10] : multiply(sk_c5,multiply(sk_c10,X10)) = multiply(sk_c9,X10)
    | ~ spl15_15 ),
    inference(superposition,[],[f3,f264]) ).

fof(f264,plain,
    ( sk_c9 = multiply(sk_c5,sk_c10)
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f88,f214]) ).

fof(f214,plain,
    ( sk_c9 = sF13
    | ~ spl15_15 ),
    inference(avatar_component_clause,[],[f212]) ).

fof(f212,plain,
    ( spl15_15
  <=> sk_c9 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).

fof(f88,plain,
    multiply(sk_c5,sk_c10) = sF13,
    introduced(function_definition,[]) ).

fof(f822,plain,
    ! [X0] : multiply(sF7,multiply(sk_c5,X0)) = X0,
    inference(superposition,[],[f286,f73]) ).

fof(f73,plain,
    inverse(sk_c5) = sF7,
    introduced(function_definition,[]) ).

fof(f1098,plain,
    ( ~ spl15_6
    | ~ spl15_13
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(avatar_contradiction_clause,[],[f1097]) ).

fof(f1097,plain,
    ( $false
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(subsumption_resolution,[],[f1085,f1089]) ).

fof(f1089,plain,
    ( sk_c11 = inverse(sk_c11)
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f623,f1086]) ).

fof(f1086,plain,
    ( sk_c11 = sk_c1
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f620,f1083]) ).

fof(f1083,plain,
    ( sk_c11 = multiply(inverse(sk_c11),identity)
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_34 ),
    inference(superposition,[],[f286,f899]) ).

fof(f899,plain,
    ( identity = multiply(sk_c11,sk_c11)
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f650,f758]) ).

fof(f650,plain,
    ( sk_c10 = multiply(sk_c11,sk_c11)
    | ~ spl15_6
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f649,f156]) ).

fof(f649,plain,
    ( sk_c10 = multiply(sF0,sk_c11)
    | ~ spl15_13 ),
    inference(forward_demodulation,[],[f335,f197]) ).

fof(f335,plain,
    sk_c10 = multiply(sF0,sF14),
    inference(forward_demodulation,[],[f322,f61]) ).

fof(f322,plain,
    sk_c10 = multiply(inverse(sk_c1),sF14),
    inference(superposition,[],[f286,f97]) ).

fof(f620,plain,
    ( sk_c1 = multiply(inverse(sk_c11),identity)
    | ~ spl15_6 ),
    inference(backward_demodulation,[],[f325,f156]) ).

fof(f325,plain,
    sk_c1 = multiply(inverse(sF0),identity),
    inference(superposition,[],[f286,f272]) ).

fof(f272,plain,
    identity = multiply(sF0,sk_c1),
    inference(superposition,[],[f2,f61]) ).

fof(f623,plain,
    ( sk_c11 = inverse(sk_c1)
    | ~ spl15_6 ),
    inference(backward_demodulation,[],[f61,f156]) ).

fof(f1085,plain,
    ( sk_c11 != inverse(sk_c11)
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(trivial_inequality_removal,[],[f1082]) ).

fof(f1082,plain,
    ( sk_c11 != inverse(sk_c11)
    | identity != identity
    | ~ spl15_6
    | ~ spl15_13
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(superposition,[],[f1009,f899]) ).

fof(f1009,plain,
    ( ! [X6] :
        ( identity != multiply(X6,sk_c11)
        | sk_c11 != inverse(X6) )
    | ~ spl15_19
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f229,f758]) ).

fof(f999,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_18
    | ~ spl15_34
    | ~ spl15_44 ),
    inference(avatar_contradiction_clause,[],[f998]) ).

fof(f998,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_18
    | ~ spl15_34
    | ~ spl15_44 ),
    inference(subsumption_resolution,[],[f997,f758]) ).

fof(f997,plain,
    ( identity != sk_c10
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_18
    | ~ spl15_34
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f996,f952]) ).

fof(f996,plain,
    ( sk_c10 != inverse(identity)
    | ~ spl15_8
    | ~ spl15_18
    | ~ spl15_44 ),
    inference(forward_demodulation,[],[f995,f816]) ).

fof(f816,plain,
    ( identity = sk_c9
    | ~ spl15_44 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f815,plain,
    ( spl15_44
  <=> identity = sk_c9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).

fof(f995,plain,
    ( sk_c10 != inverse(sk_c9)
    | ~ spl15_8
    | ~ spl15_18
    | ~ spl15_44 ),
    inference(subsumption_resolution,[],[f831,f816]) ).

fof(f831,plain,
    ( identity != sk_c9
    | sk_c10 != inverse(sk_c9)
    | ~ spl15_8
    | ~ spl15_18 ),
    inference(superposition,[],[f226,f648]) ).

fof(f648,plain,
    ( identity = multiply(sk_c9,sk_c10)
    | ~ spl15_8 ),
    inference(forward_demodulation,[],[f267,f165]) ).

fof(f226,plain,
    ( ! [X7] :
        ( sk_c9 != multiply(X7,sk_c10)
        | sk_c10 != inverse(X7) )
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f225]) ).

fof(f225,plain,
    ( spl15_18
  <=> ! [X7] :
        ( sk_c10 != inverse(X7)
        | sk_c9 != multiply(X7,sk_c10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f974,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34
    | spl15_44 ),
    inference(avatar_contradiction_clause,[],[f973]) ).

fof(f973,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34
    | spl15_44 ),
    inference(subsumption_resolution,[],[f972,f817]) ).

fof(f817,plain,
    ( identity != sk_c9
    | spl15_44 ),
    inference(avatar_component_clause,[],[f815]) ).

fof(f972,plain,
    ( identity = sk_c9
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f971,f2]) ).

fof(f971,plain,
    ( sk_c9 = multiply(inverse(identity),identity)
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_8
    | ~ spl15_10
    | ~ spl15_34 ),
    inference(forward_demodulation,[],[f902,f943]) ).

fof(f902,plain,
    ( sk_c9 = multiply(inverse(sk_c3),identity)
    | ~ spl15_1
    | ~ spl15_34 ),
    inference(backward_demodulation,[],[f653,f758]) ).

fof(f653,plain,
    ( sk_c9 = multiply(inverse(sk_c3),sk_c10)
    | ~ spl15_1 ),
    inference(backward_demodulation,[],[f324,f134]) ).

fof(f324,plain,
    sk_c9 = multiply(inverse(sk_c3),sF10),
    inference(superposition,[],[f286,f79]) ).

fof(f877,plain,
    ( spl15_34
    | ~ spl15_3
    | ~ spl15_10 ),
    inference(avatar_split_clause,[],[f876,f174,f141,f757]) ).

fof(f876,plain,
    ( identity = sk_c10
    | ~ spl15_3
    | ~ spl15_10 ),
    inference(forward_demodulation,[],[f865,f2]) ).

fof(f865,plain,
    ( sk_c10 = multiply(inverse(sk_c3),sk_c3)
    | ~ spl15_3
    | ~ spl15_10 ),
    inference(superposition,[],[f286,f642]) ).

fof(f848,plain,
    ( spl15_34
    | ~ spl15_7
    | ~ spl15_14 ),
    inference(avatar_split_clause,[],[f847,f203,f159,f757]) ).

fof(f159,plain,
    ( spl15_7
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).

fof(f203,plain,
    ( spl15_14
  <=> sk_c10 = sF1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).

fof(f847,plain,
    ( identity = sk_c10
    | ~ spl15_7
    | ~ spl15_14 ),
    inference(forward_demodulation,[],[f845,f2]) ).

fof(f845,plain,
    ( sk_c10 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl15_7
    | ~ spl15_14 ),
    inference(superposition,[],[f286,f330]) ).

fof(f330,plain,
    ( sk_c8 = multiply(sk_c8,sk_c10)
    | ~ spl15_7
    | ~ spl15_14 ),
    inference(forward_demodulation,[],[f319,f262]) ).

fof(f262,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl15_7 ),
    inference(backward_demodulation,[],[f77,f161]) ).

fof(f161,plain,
    ( sk_c8 = sF9
    | ~ spl15_7 ),
    inference(avatar_component_clause,[],[f159]) ).

fof(f77,plain,
    inverse(sk_c7) = sF9,
    introduced(function_definition,[]) ).

fof(f319,plain,
    ( sk_c8 = multiply(inverse(sk_c7),sk_c10)
    | ~ spl15_14 ),
    inference(superposition,[],[f286,f259]) ).

fof(f259,plain,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | ~ spl15_14 ),
    inference(backward_demodulation,[],[f62,f205]) ).

fof(f205,plain,
    ( sk_c10 = sF1
    | ~ spl15_14 ),
    inference(avatar_component_clause,[],[f203]) ).

fof(f62,plain,
    multiply(sk_c7,sk_c8) = sF1,
    introduced(function_definition,[]) ).

fof(f808,plain,
    ( ~ spl15_5
    | ~ spl15_15
    | ~ spl15_18 ),
    inference(avatar_contradiction_clause,[],[f807]) ).

fof(f807,plain,
    ( $false
    | ~ spl15_5
    | ~ spl15_15
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f792,f261]) ).

fof(f261,plain,
    ( sk_c10 = inverse(sk_c5)
    | ~ spl15_5 ),
    inference(backward_demodulation,[],[f73,f152]) ).

fof(f152,plain,
    ( sk_c10 = sF7
    | ~ spl15_5 ),
    inference(avatar_component_clause,[],[f150]) ).

fof(f792,plain,
    ( sk_c10 != inverse(sk_c5)
    | ~ spl15_15
    | ~ spl15_18 ),
    inference(trivial_inequality_removal,[],[f790]) ).

fof(f790,plain,
    ( sk_c10 != inverse(sk_c5)
    | sk_c9 != sk_c9
    | ~ spl15_15
    | ~ spl15_18 ),
    inference(superposition,[],[f226,f264]) ).

fof(f786,plain,
    ( ~ spl15_1
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_16 ),
    inference(avatar_contradiction_clause,[],[f785]) ).

fof(f785,plain,
    ( $false
    | ~ spl15_1
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_16 ),
    inference(subsumption_resolution,[],[f784,f657]) ).

fof(f657,plain,
    ( sk_c10 = multiply(sk_c3,sk_c9)
    | ~ spl15_1 ),
    inference(forward_demodulation,[],[f79,f134]) ).

fof(f784,plain,
    ( sk_c10 != multiply(sk_c3,sk_c9)
    | ~ spl15_3
    | ~ spl15_10
    | ~ spl15_16 ),
    inference(subsumption_resolution,[],[f750,f644]) ).

fof(f644,plain,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | ~ spl15_3 ),
    inference(backward_demodulation,[],[f81,f143]) ).

fof(f750,plain,
    ( sk_c10 != multiply(sk_c2,sk_c3)
    | sk_c10 != multiply(sk_c3,sk_c9)
    | ~ spl15_10
    | ~ spl15_16 ),
    inference(superposition,[],[f220,f655]) ).

fof(f220,plain,
    ( ! [X4] :
        ( sk_c10 != multiply(inverse(X4),sk_c9)
        | sk_c10 != multiply(X4,inverse(X4)) )
    | ~ spl15_16 ),
    inference(avatar_component_clause,[],[f219]) ).

fof(f219,plain,
    ( spl15_16
  <=> ! [X4] :
        ( sk_c10 != multiply(X4,inverse(X4))
        | sk_c10 != multiply(inverse(X4),sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).

fof(f755,plain,
    ( ~ spl15_2
    | ~ spl15_7
    | ~ spl15_14
    | ~ spl15_16 ),
    inference(avatar_contradiction_clause,[],[f754]) ).

fof(f754,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_7
    | ~ spl15_14
    | ~ spl15_16 ),
    inference(subsumption_resolution,[],[f753,f258]) ).

fof(f258,plain,
    ( sk_c10 = multiply(sk_c8,sk_c9)
    | ~ spl15_2 ),
    inference(backward_demodulation,[],[f66,f138]) ).

fof(f138,plain,
    ( sk_c10 = sF3
    | ~ spl15_2 ),
    inference(avatar_component_clause,[],[f136]) ).

fof(f136,plain,
    ( spl15_2
  <=> sk_c10 = sF3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).

fof(f66,plain,
    multiply(sk_c8,sk_c9) = sF3,
    introduced(function_definition,[]) ).

fof(f753,plain,
    ( sk_c10 != multiply(sk_c8,sk_c9)
    | ~ spl15_7
    | ~ spl15_14
    | ~ spl15_16 ),
    inference(subsumption_resolution,[],[f749,f259]) ).

fof(f749,plain,
    ( sk_c10 != multiply(sk_c7,sk_c8)
    | sk_c10 != multiply(sk_c8,sk_c9)
    | ~ spl15_7
    | ~ spl15_16 ),
    inference(superposition,[],[f220,f262]) ).

fof(f580,plain,
    ( ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(avatar_contradiction_clause,[],[f579]) ).

fof(f579,plain,
    ( $false
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(subsumption_resolution,[],[f578,f415]) ).

fof(f415,plain,
    ( sk_c4 = inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f266,f411]) ).

fof(f411,plain,
    ( sk_c4 = sk_c11
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f391,f410]) ).

fof(f410,plain,
    ( sk_c4 = multiply(sk_c4,identity)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f392,f1]) ).

fof(f392,plain,
    ( multiply(sk_c4,identity) = multiply(identity,sk_c4)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f346,f362]) ).

fof(f362,plain,
    ( identity = sk_c10
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f359,f2]) ).

fof(f359,plain,
    ( sk_c10 = multiply(inverse(sk_c11),sk_c11)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(superposition,[],[f286,f329]) ).

fof(f329,plain,
    ( sk_c11 = multiply(sk_c11,sk_c10)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f314,f266]) ).

fof(f314,plain,
    ( sk_c11 = multiply(inverse(sk_c4),sk_c10)
    | ~ spl15_12 ),
    inference(superposition,[],[f286,f263]) ).

fof(f346,plain,
    ( multiply(sk_c4,identity) = multiply(sk_c10,sk_c4)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(superposition,[],[f277,f268]) ).

fof(f268,plain,
    ( identity = multiply(sk_c11,sk_c4)
    | ~ spl15_4 ),
    inference(superposition,[],[f2,f266]) ).

fof(f277,plain,
    ( ! [X8] : multiply(sk_c10,X8) = multiply(sk_c4,multiply(sk_c11,X8))
    | ~ spl15_12 ),
    inference(superposition,[],[f3,f263]) ).

fof(f391,plain,
    ( sk_c11 = multiply(sk_c4,identity)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f340,f362]) ).

fof(f340,plain,
    ( sk_c11 = multiply(sk_c4,sk_c10)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11 ),
    inference(backward_demodulation,[],[f265,f336]) ).

fof(f336,plain,
    ( sk_c4 = sk_c6
    | ~ spl15_4
    | ~ spl15_9 ),
    inference(backward_demodulation,[],[f316,f315]) ).

fof(f315,plain,
    ( sk_c4 = multiply(inverse(sk_c11),identity)
    | ~ spl15_4 ),
    inference(superposition,[],[f286,f268]) ).

fof(f316,plain,
    ( sk_c6 = multiply(inverse(sk_c11),identity)
    | ~ spl15_9 ),
    inference(superposition,[],[f286,f270]) ).

fof(f270,plain,
    ( identity = multiply(sk_c11,sk_c6)
    | ~ spl15_9 ),
    inference(superposition,[],[f2,f260]) ).

fof(f260,plain,
    ( sk_c11 = inverse(sk_c6)
    | ~ spl15_9 ),
    inference(backward_demodulation,[],[f64,f171]) ).

fof(f265,plain,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | ~ spl15_11 ),
    inference(backward_demodulation,[],[f75,f183]) ).

fof(f266,plain,
    ( sk_c11 = inverse(sk_c4)
    | ~ spl15_4 ),
    inference(backward_demodulation,[],[f84,f147]) ).

fof(f578,plain,
    ( sk_c4 != inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(trivial_inequality_removal,[],[f575]) ).

fof(f575,plain,
    ( sk_c4 != sk_c4
    | sk_c4 != inverse(sk_c4)
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(superposition,[],[f515,f410]) ).

fof(f515,plain,
    ( ! [X3] :
        ( sk_c4 != multiply(X3,identity)
        | sk_c4 != inverse(X3) )
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f514,f411]) ).

fof(f514,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | sk_c4 != inverse(X3) )
    | ~ spl15_4
    | ~ spl15_9
    | ~ spl15_11
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f513,f411]) ).

fof(f513,plain,
    ( ! [X3] :
        ( sk_c11 != multiply(X3,identity)
        | sk_c11 != inverse(X3) )
    | ~ spl15_4
    | ~ spl15_12
    | ~ spl15_17 ),
    inference(forward_demodulation,[],[f223,f362]) ).

fof(f453,plain,
    ( ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | spl15_8
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(avatar_contradiction_clause,[],[f452]) ).

fof(f452,plain,
    ( $false
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | spl15_8
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(subsumption_resolution,[],[f451,f443]) ).

fof(f443,plain,
    ( identity != sF4
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | spl15_8
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f164,f441]) ).

fof(f441,plain,
    ( identity = sk_c9
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f437,f2]) ).

fof(f437,plain,
    ( sk_c9 = multiply(inverse(identity),identity)
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f383,f434]) ).

fof(f434,plain,
    ( identity = sk_c8
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f386,f431]) ).

fof(f431,plain,
    ( ! [X13] : multiply(sk_c8,X13) = X13
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f396,f429]) ).

fof(f429,plain,
    ( ! [X10] : multiply(sk_c9,X10) = X10
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f428,f1]) ).

fof(f428,plain,
    ( ! [X10] : multiply(identity,X10) = multiply(sk_c9,X10)
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f427,f401]) ).

fof(f401,plain,
    ( identity = sk_c5
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f342,f400]) ).

fof(f400,plain,
    ( ! [X0] : multiply(sF4,X0) = X0
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f309,f363]) ).

fof(f363,plain,
    ( sF4 = inverse(identity)
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f67,f362]) ).

fof(f309,plain,
    ! [X0] : multiply(inverse(identity),X0) = X0,
    inference(superposition,[],[f286,f1]) ).

fof(f342,plain,
    ( sk_c5 = multiply(sF4,identity)
    | ~ spl15_5 ),
    inference(forward_demodulation,[],[f313,f67]) ).

fof(f313,plain,
    ( sk_c5 = multiply(inverse(sk_c10),identity)
    | ~ spl15_5 ),
    inference(superposition,[],[f286,f269]) ).

fof(f269,plain,
    ( identity = multiply(sk_c10,sk_c5)
    | ~ spl15_5 ),
    inference(superposition,[],[f2,f261]) ).

fof(f427,plain,
    ( ! [X10] : multiply(sk_c5,X10) = multiply(sk_c9,X10)
    | ~ spl15_4
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f377,f1]) ).

fof(f377,plain,
    ( ! [X10] : multiply(sk_c5,multiply(identity,X10)) = multiply(sk_c9,X10)
    | ~ spl15_4
    | ~ spl15_12
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f279,f362]) ).

fof(f396,plain,
    ( ! [X13] : multiply(sk_c8,multiply(sk_c9,X13)) = X13
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(forward_demodulation,[],[f379,f1]) ).

fof(f379,plain,
    ( ! [X13] : multiply(identity,X13) = multiply(sk_c8,multiply(sk_c9,X13))
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f282,f362]) ).

fof(f282,plain,
    ( ! [X13] : multiply(sk_c10,X13) = multiply(sk_c8,multiply(sk_c9,X13))
    | ~ spl15_2 ),
    inference(superposition,[],[f3,f258]) ).

fof(f386,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14 ),
    inference(backward_demodulation,[],[f330,f362]) ).

fof(f383,plain,
    ( sk_c9 = multiply(inverse(sk_c8),identity)
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f320,f362]) ).

fof(f320,plain,
    ( sk_c9 = multiply(inverse(sk_c8),sk_c10)
    | ~ spl15_2 ),
    inference(superposition,[],[f286,f258]) ).

fof(f164,plain,
    ( sk_c9 != sF4
    | spl15_8 ),
    inference(avatar_component_clause,[],[f163]) ).

fof(f451,plain,
    ( identity = sF4
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f363,f450]) ).

fof(f450,plain,
    ( identity = inverse(identity)
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(forward_demodulation,[],[f438,f441]) ).

fof(f438,plain,
    ( identity = inverse(sk_c9)
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_5
    | ~ spl15_7
    | ~ spl15_12
    | ~ spl15_14
    | ~ spl15_15 ),
    inference(backward_demodulation,[],[f409,f434]) ).

fof(f409,plain,
    ( sk_c8 = inverse(sk_c9)
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f262,f406]) ).

fof(f406,plain,
    ( sk_c9 = sk_c7
    | ~ spl15_2
    | ~ spl15_4
    | ~ spl15_7
    | ~ spl15_12 ),
    inference(backward_demodulation,[],[f321,f383]) ).

fof(f321,plain,
    ( sk_c7 = multiply(inverse(sk_c8),identity)
    | ~ spl15_7 ),
    inference(superposition,[],[f286,f271]) ).

fof(f271,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl15_7 ),
    inference(superposition,[],[f2,f262]) ).

fof(f257,plain,
    ( spl15_14
    | spl15_10 ),
    inference(avatar_split_clause,[],[f83,f174,f203]) ).

fof(f83,plain,
    ( sk_c3 = sF6
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f46,f70,f62]) ).

fof(f46,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).

fof(f254,plain,
    ( spl15_13
    | spl15_4 ),
    inference(avatar_split_clause,[],[f116,f145,f195]) ).

fof(f116,plain,
    ( sk_c11 = sF12
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f23,f97,f84]) ).

fof(f23,axiom,
    ( sk_c11 = inverse(sk_c4)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

fof(f250,plain,
    ( spl15_8
    | spl15_2 ),
    inference(avatar_split_clause,[],[f68,f136,f163]) ).

fof(f68,plain,
    ( sk_c10 = sF3
    | sk_c9 = sF4 ),
    inference(definition_folding,[],[f12,f67,f66]) ).

fof(f12,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c9)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

fof(f249,plain,
    ( spl15_6
    | spl15_11 ),
    inference(avatar_split_clause,[],[f118,f181,f154]) ).

fof(f118,plain,
    ( sk_c11 = sF8
    | sk_c11 = sF0 ),
    inference(definition_folding,[],[f18,f75,f61]) ).

fof(f18,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = multiply(sk_c6,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

fof(f248,plain,
    ( spl15_6
    | spl15_9 ),
    inference(avatar_split_clause,[],[f65,f169,f154]) ).

fof(f65,plain,
    ( sk_c11 = sF2
    | sk_c11 = sF0 ),
    inference(definition_folding,[],[f17,f61,f64]) ).

fof(f17,axiom,
    ( sk_c11 = inverse(sk_c6)
    | sk_c11 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

fof(f246,plain,
    ( spl15_1
    | spl15_14 ),
    inference(avatar_split_clause,[],[f102,f203,f132]) ).

fof(f102,plain,
    ( sk_c10 = sF1
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f55,f79,f62]) ).

fof(f55,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | sk_c10 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_52) ).

fof(f245,plain,
    ( spl15_8
    | spl15_5 ),
    inference(avatar_split_clause,[],[f120,f150,f163]) ).

fof(f120,plain,
    ( sk_c10 = sF7
    | sk_c9 = sF4 ),
    inference(definition_folding,[],[f7,f73,f67]) ).

fof(f7,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c10 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).

fof(f244,plain,
    ( spl15_15
    | spl15_10 ),
    inference(avatar_split_clause,[],[f110,f174,f212]) ).

fof(f110,plain,
    ( sk_c3 = sF6
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f42,f88,f70]) ).

fof(f42,axiom,
    ( sk_c3 = inverse(sk_c2)
    | sk_c9 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).

fof(f243,plain,
    ( spl15_13
    | spl15_12 ),
    inference(avatar_split_clause,[],[f123,f186,f195]) ).

fof(f123,plain,
    ( sk_c10 = sF5
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f22,f97,f69]) ).

fof(f22,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c11)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).

fof(f241,plain,
    ( spl15_15
    | spl15_8 ),
    inference(avatar_split_clause,[],[f101,f163,f212]) ).

fof(f101,plain,
    ( sk_c9 = sF4
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f6,f67,f88]) ).

fof(f6,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c10)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

fof(f240,plain,
    ( spl15_12
    | spl15_6 ),
    inference(avatar_split_clause,[],[f103,f154,f186]) ).

fof(f103,plain,
    ( sk_c11 = sF0
    | sk_c10 = sF5 ),
    inference(definition_folding,[],[f13,f69,f61]) ).

fof(f13,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c10 = multiply(sk_c4,sk_c11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).

fof(f239,plain,
    ( spl15_15
    | spl15_3 ),
    inference(avatar_split_clause,[],[f96,f141,f212]) ).

fof(f96,plain,
    ( sk_c10 = sF11
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f33,f88,f81]) ).

fof(f33,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | sk_c9 = multiply(sk_c5,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).

fof(f238,plain,
    ( spl15_4
    | spl15_6 ),
    inference(avatar_split_clause,[],[f119,f154,f145]) ).

fof(f119,plain,
    ( sk_c11 = sF0
    | sk_c11 = sF12 ),
    inference(definition_folding,[],[f14,f84,f61]) ).

fof(f14,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c11 = inverse(sk_c4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).

fof(f237,plain,
    ( spl15_7
    | spl15_1 ),
    inference(avatar_split_clause,[],[f107,f132,f159]) ).

fof(f107,plain,
    ( sk_c10 = sF10
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f56,f77,f79]) ).

fof(f56,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c9)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_53) ).

fof(f236,plain,
    ( spl15_2
    | spl15_10 ),
    inference(avatar_split_clause,[],[f72,f174,f136]) ).

fof(f72,plain,
    ( sk_c3 = sF6
    | sk_c10 = sF3 ),
    inference(definition_folding,[],[f48,f70,f66]) ).

fof(f48,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c9)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).

fof(f235,plain,
    ( spl15_14
    | spl15_8 ),
    inference(avatar_split_clause,[],[f109,f163,f203]) ).

fof(f109,plain,
    ( sk_c9 = sF4
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f10,f67,f62]) ).

fof(f10,axiom,
    ( sk_c10 = multiply(sk_c7,sk_c8)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).

fof(f234,plain,
    ( spl15_15
    | spl15_1 ),
    inference(avatar_split_clause,[],[f113,f132,f212]) ).

fof(f113,plain,
    ( sk_c10 = sF10
    | sk_c9 = sF13 ),
    inference(definition_folding,[],[f51,f79,f88]) ).

fof(f51,axiom,
    ( sk_c9 = multiply(sk_c5,sk_c10)
    | sk_c10 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).

fof(f231,plain,
    ( spl15_4
    | spl15_8 ),
    inference(avatar_split_clause,[],[f94,f163,f145]) ).

fof(f94,plain,
    ( sk_c9 = sF4
    | sk_c11 = sF12 ),
    inference(definition_folding,[],[f5,f67,f84]) ).

fof(f5,axiom,
    ( sk_c11 = inverse(sk_c4)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

fof(f230,plain,
    ( spl15_16
    | spl15_17
    | ~ spl15_8
    | spl15_16
    | spl15_17
    | spl15_18
    | spl15_19 ),
    inference(avatar_split_clause,[],[f93,f228,f225,f222,f219,f163,f222,f219]) ).

fof(f93,plain,
    ! [X3,X8,X6,X9,X7,X4] :
      ( sk_c11 != inverse(X6)
      | sk_c10 != inverse(X7)
      | sk_c11 != inverse(X8)
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c10 != multiply(inverse(X9),sk_c9)
      | sk_c9 != sF4
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c10 != multiply(X6,sk_c11)
      | sk_c9 != multiply(X7,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c10 != multiply(X4,inverse(X4))
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(inverse(X4),sk_c9) ),
    inference(definition_folding,[],[f60,f67]) ).

fof(f60,plain,
    ! [X3,X8,X6,X9,X7,X4] :
      ( sk_c10 != multiply(X6,sk_c11)
      | inverse(sk_c10) != sk_c9
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c10 != multiply(inverse(X9),sk_c9)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(inverse(X4),sk_c9)
      | sk_c9 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X8)
      | sk_c10 != inverse(X7)
      | sk_c11 != inverse(X6)
      | sk_c10 != multiply(X4,inverse(X4)) ),
    inference(equality_resolution,[],[f59]) ).

fof(f59,plain,
    ! [X3,X8,X6,X9,X7,X4,X5] :
      ( sk_c10 != multiply(X6,sk_c11)
      | inverse(sk_c10) != sk_c9
      | sk_c10 != multiply(X9,inverse(X9))
      | sk_c10 != multiply(inverse(X9),sk_c9)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X5,sk_c9)
      | sk_c9 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X8)
      | inverse(X4) != X5
      | sk_c10 != inverse(X7)
      | sk_c11 != inverse(X6)
      | sk_c10 != multiply(X4,X5) ),
    inference(equality_resolution,[],[f58]) ).

fof(f58,axiom,
    ! [X3,X10,X8,X6,X9,X7,X4,X5] :
      ( inverse(X9) != X10
      | sk_c10 != multiply(X6,sk_c11)
      | inverse(sk_c10) != sk_c9
      | sk_c10 != multiply(X9,X10)
      | sk_c10 != multiply(X10,sk_c9)
      | sk_c11 != multiply(X8,sk_c10)
      | sk_c11 != multiply(X3,sk_c10)
      | sk_c11 != inverse(X3)
      | sk_c10 != multiply(X5,sk_c9)
      | sk_c9 != multiply(X7,sk_c10)
      | sk_c11 != inverse(X8)
      | inverse(X4) != X5
      | sk_c10 != inverse(X7)
      | sk_c11 != inverse(X6)
      | sk_c10 != multiply(X4,X5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_55) ).

fof(f208,plain,
    ( spl15_13
    | spl15_11 ),
    inference(avatar_split_clause,[],[f128,f181,f195]) ).

fof(f128,plain,
    ( sk_c11 = sF8
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f27,f97,f75]) ).

fof(f27,axiom,
    ( sk_c11 = multiply(sk_c6,sk_c10)
    | sk_c11 = multiply(sk_c1,sk_c10) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).

fof(f207,plain,
    ( spl15_5
    | spl15_10 ),
    inference(avatar_split_clause,[],[f74,f174,f150]) ).

fof(f74,plain,
    ( sk_c3 = sF6
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f43,f70,f73]) ).

fof(f43,axiom,
    ( sk_c10 = inverse(sk_c5)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).

fof(f206,plain,
    ( spl15_14
    | spl15_3 ),
    inference(avatar_split_clause,[],[f100,f141,f203]) ).

fof(f100,plain,
    ( sk_c10 = sF11
    | sk_c10 = sF1 ),
    inference(definition_folding,[],[f37,f62,f81]) ).

fof(f37,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | sk_c10 = multiply(sk_c7,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).

fof(f201,plain,
    ( spl15_13
    | spl15_9 ),
    inference(avatar_split_clause,[],[f114,f169,f195]) ).

fof(f114,plain,
    ( sk_c11 = sF2
    | sk_c11 = sF14 ),
    inference(definition_folding,[],[f26,f64,f97]) ).

fof(f26,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c11 = inverse(sk_c6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).

fof(f199,plain,
    ( spl15_3
    | spl15_2 ),
    inference(avatar_split_clause,[],[f108,f136,f141]) ).

fof(f108,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f39,f66,f81]) ).

fof(f39,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | sk_c10 = multiply(sk_c8,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).

fof(f198,plain,
    ( spl15_7
    | spl15_13 ),
    inference(avatar_split_clause,[],[f99,f195,f159]) ).

fof(f99,plain,
    ( sk_c11 = sF14
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f29,f77,f97]) ).

fof(f29,axiom,
    ( sk_c11 = multiply(sk_c1,sk_c10)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).

fof(f192,plain,
    ( spl15_5
    | spl15_3 ),
    inference(avatar_split_clause,[],[f124,f141,f150]) ).

fof(f124,plain,
    ( sk_c10 = sF11
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f34,f73,f81]) ).

fof(f34,axiom,
    ( sk_c10 = multiply(sk_c2,sk_c3)
    | sk_c10 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).

fof(f191,plain,
    ( spl15_7
    | spl15_6 ),
    inference(avatar_split_clause,[],[f125,f154,f159]) ).

fof(f125,plain,
    ( sk_c11 = sF0
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f20,f77,f61]) ).

fof(f20,axiom,
    ( sk_c11 = inverse(sk_c1)
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).

fof(f190,plain,
    ( spl15_5
    | spl15_1 ),
    inference(avatar_split_clause,[],[f127,f132,f150]) ).

fof(f127,plain,
    ( sk_c10 = sF10
    | sk_c10 = sF7 ),
    inference(definition_folding,[],[f52,f73,f79]) ).

fof(f52,axiom,
    ( sk_c10 = multiply(sk_c3,sk_c9)
    | sk_c10 = inverse(sk_c5) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).

fof(f189,plain,
    ( spl15_12
    | spl15_8 ),
    inference(avatar_split_clause,[],[f95,f163,f186]) ).

fof(f95,plain,
    ( sk_c9 = sF4
    | sk_c10 = sF5 ),
    inference(definition_folding,[],[f4,f67,f69]) ).

fof(f4,axiom,
    ( sk_c10 = multiply(sk_c4,sk_c11)
    | inverse(sk_c10) = sk_c9 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

fof(f177,plain,
    ( spl15_7
    | spl15_10 ),
    inference(avatar_split_clause,[],[f78,f174,f159]) ).

fof(f78,plain,
    ( sk_c3 = sF6
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f47,f70,f77]) ).

fof(f47,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).

fof(f167,plain,
    ( spl15_3
    | spl15_7 ),
    inference(avatar_split_clause,[],[f115,f159,f141]) ).

fof(f115,plain,
    ( sk_c8 = sF9
    | sk_c10 = sF11 ),
    inference(definition_folding,[],[f38,f81,f77]) ).

fof(f38,axiom,
    ( sk_c8 = inverse(sk_c7)
    | sk_c10 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).

fof(f166,plain,
    ( spl15_7
    | spl15_8 ),
    inference(avatar_split_clause,[],[f111,f163,f159]) ).

fof(f111,plain,
    ( sk_c9 = sF4
    | sk_c8 = sF9 ),
    inference(definition_folding,[],[f11,f77,f67]) ).

fof(f11,axiom,
    ( inverse(sk_c10) = sk_c9
    | sk_c8 = inverse(sk_c7) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

fof(f139,plain,
    ( spl15_1
    | spl15_2 ),
    inference(avatar_split_clause,[],[f80,f136,f132]) ).

fof(f80,plain,
    ( sk_c10 = sF3
    | sk_c10 = sF10 ),
    inference(definition_folding,[],[f57,f79,f66]) ).

fof(f57,axiom,
    ( sk_c10 = multiply(sk_c8,sk_c9)
    | sk_c10 = multiply(sk_c3,sk_c9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_54) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : GRP389-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.34  % Computer : n013.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 22:23:32 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.55  % (2342)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56  % (2341)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56  % (2358)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.56  % (2357)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.20/0.56  % (2349)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.20/0.56  % (2350)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.20/0.57  % (2350)Instruction limit reached!
% 0.20/0.57  % (2350)------------------------------
% 0.20/0.57  % (2350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (2358)Refutation not found, incomplete strategy% (2358)------------------------------
% 0.20/0.58  % (2358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58  % (2350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (2350)Termination reason: Unknown
% 0.20/0.58  % (2350)Termination phase: Finite model building preprocessing
% 0.20/0.58  
% 0.20/0.58  % (2350)Memory used [KB]: 1535
% 0.20/0.58  % (2350)Time elapsed: 0.006 s
% 0.20/0.58  % (2350)Instructions burned: 7 (million)
% 0.20/0.58  % (2350)------------------------------
% 0.20/0.58  % (2350)------------------------------
% 0.20/0.58  % (2358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58  % (2358)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.58  
% 0.20/0.58  % (2358)Memory used [KB]: 5884
% 0.20/0.58  % (2358)Time elapsed: 0.153 s
% 0.20/0.58  % (2358)Instructions burned: 5 (million)
% 0.20/0.58  % (2358)------------------------------
% 0.20/0.58  % (2358)------------------------------
% 0.20/0.59  % (2338)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.20/0.59  % (2340)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.59  % (2353)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.20/0.59  % (2344)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.59  % (2351)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.59  % (2351)Instruction limit reached!
% 0.20/0.59  % (2351)------------------------------
% 0.20/0.59  % (2351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59  % (2351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59  % (2351)Termination reason: Unknown
% 0.20/0.59  % (2351)Termination phase: Equality proxy
% 0.20/0.59  
% 0.20/0.59  % (2351)Memory used [KB]: 1279
% 0.20/0.59  % (2351)Time elapsed: 0.002 s
% 0.20/0.59  % (2351)Instructions burned: 2 (million)
% 0.20/0.59  % (2351)------------------------------
% 0.20/0.59  % (2351)------------------------------
% 0.20/0.60  % (2337)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.20/0.60  % (2337)Instruction limit reached!
% 0.20/0.60  % (2337)------------------------------
% 0.20/0.60  % (2337)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60  % (2337)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60  % (2337)Termination reason: Unknown
% 0.20/0.60  % (2337)Termination phase: Saturation
% 0.20/0.60  
% 0.20/0.60  % (2337)Memory used [KB]: 5884
% 0.20/0.60  % (2337)Time elapsed: 0.003 s
% 0.20/0.60  % (2337)Instructions burned: 4 (million)
% 0.20/0.60  % (2337)------------------------------
% 0.20/0.60  % (2337)------------------------------
% 1.71/0.60  % (2339)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 1.71/0.60  % (2349)Instruction limit reached!
% 1.71/0.60  % (2349)------------------------------
% 1.71/0.60  % (2349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60  % (2345)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.71/0.60  % (2362)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 1.71/0.60  % (2343)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.71/0.61  % (2352)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.71/0.61  % (2343)Instruction limit reached!
% 1.71/0.61  % (2343)------------------------------
% 1.71/0.61  % (2343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (2343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (2343)Termination reason: Unknown
% 1.71/0.61  % (2343)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (2343)Memory used [KB]: 5884
% 1.71/0.61  % (2343)Time elapsed: 0.003 s
% 1.71/0.61  % (2343)Instructions burned: 3 (million)
% 1.71/0.61  % (2343)------------------------------
% 1.71/0.61  % (2343)------------------------------
% 1.71/0.61  % (2361)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 1.71/0.61  % (2335)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 1.71/0.61  % (2339)Refutation not found, incomplete strategy% (2339)------------------------------
% 1.71/0.61  % (2339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (2346)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 1.71/0.61  % (2361)Refutation not found, incomplete strategy% (2361)------------------------------
% 1.71/0.61  % (2361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (2360)lrs+1010_1:16_acc=on:anc=all:avsq=on:awrs=converge:s2a=on:sac=on:sos=on:ss=axioms:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/81Mi)
% 1.71/0.61  % (2349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (2349)Termination reason: Unknown
% 1.71/0.61  % (2349)Termination phase: Saturation
% 1.71/0.61  
% 1.71/0.61  % (2349)Memory used [KB]: 1663
% 1.71/0.61  % (2349)Time elapsed: 0.180 s
% 1.71/0.61  % (2349)Instructions burned: 30 (million)
% 1.71/0.61  % (2349)------------------------------
% 1.71/0.61  % (2349)------------------------------
% 1.71/0.61  % (2355)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 1.71/0.61  % (2338)Refutation not found, incomplete strategy% (2338)------------------------------
% 1.71/0.61  % (2338)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61  % (2338)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61  % (2338)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.61  
% 1.71/0.61  % (2338)Memory used [KB]: 5884
% 1.71/0.61  % (2338)Time elapsed: 0.193 s
% 1.71/0.61  % (2338)Instructions burned: 4 (million)
% 1.71/0.61  % (2338)------------------------------
% 1.71/0.61  % (2338)------------------------------
% 1.71/0.61  % (2347)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 1.71/0.61  % (2345)Instruction limit reached!
% 1.71/0.61  % (2345)------------------------------
% 1.71/0.61  % (2345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2347)Instruction limit reached!
% 2.00/0.62  % (2347)------------------------------
% 2.00/0.62  % (2347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2339)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.62  
% 2.00/0.62  % (2339)Memory used [KB]: 6012
% 2.00/0.62  % (2339)Time elapsed: 0.183 s
% 2.00/0.62  % (2339)Instructions burned: 5 (million)
% 2.00/0.62  % (2339)------------------------------
% 2.00/0.62  % (2339)------------------------------
% 2.00/0.62  % (2341)Instruction limit reached!
% 2.00/0.62  % (2341)------------------------------
% 2.00/0.62  % (2341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2348)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 2.00/0.62  % (2347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2347)Termination reason: Unknown
% 2.00/0.62  % (2347)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2347)Memory used [KB]: 5884
% 2.00/0.62  % (2347)Time elapsed: 0.199 s
% 2.00/0.62  % (2347)Instructions burned: 5 (million)
% 2.00/0.62  % (2347)------------------------------
% 2.00/0.62  % (2347)------------------------------
% 2.00/0.62  % (2355)Instruction limit reached!
% 2.00/0.62  % (2355)------------------------------
% 2.00/0.62  % (2355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2355)Termination reason: Unknown
% 2.00/0.62  % (2355)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2355)Memory used [KB]: 1407
% 2.00/0.62  % (2355)Time elapsed: 0.008 s
% 2.00/0.62  % (2355)Instructions burned: 6 (million)
% 2.00/0.62  % (2355)------------------------------
% 2.00/0.62  % (2355)------------------------------
% 2.00/0.62  % (2361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2361)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.62  
% 2.00/0.62  % (2361)Memory used [KB]: 5884
% 2.00/0.62  % (2361)Time elapsed: 0.190 s
% 2.00/0.62  % (2361)Instructions burned: 5 (million)
% 2.00/0.62  % (2361)------------------------------
% 2.00/0.62  % (2361)------------------------------
% 2.00/0.62  % (2348)Instruction limit reached!
% 2.00/0.62  % (2348)------------------------------
% 2.00/0.62  % (2348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2348)Termination reason: Unknown
% 2.00/0.62  % (2348)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2348)Memory used [KB]: 5884
% 2.00/0.62  % (2348)Time elapsed: 0.004 s
% 2.00/0.62  % (2348)Instructions burned: 4 (million)
% 2.00/0.62  % (2348)------------------------------
% 2.00/0.62  % (2348)------------------------------
% 2.00/0.62  % (2354)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.00/0.62  % (2345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2345)Termination reason: Unknown
% 2.00/0.62  % (2345)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2345)Memory used [KB]: 5884
% 2.00/0.62  % (2345)Time elapsed: 0.197 s
% 2.00/0.62  % (2345)Instructions burned: 7 (million)
% 2.00/0.62  % (2345)------------------------------
% 2.00/0.62  % (2345)------------------------------
% 2.00/0.62  % (2364)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 2.00/0.62  % (2336)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 2.00/0.62  % (2354)Instruction limit reached!
% 2.00/0.62  % (2354)------------------------------
% 2.00/0.62  % (2354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2354)Termination reason: Unknown
% 2.00/0.62  % (2354)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2354)Memory used [KB]: 6012
% 2.00/0.62  % (2354)Time elapsed: 0.209 s
% 2.00/0.62  % (2354)Instructions burned: 8 (million)
% 2.00/0.62  % (2354)------------------------------
% 2.00/0.62  % (2354)------------------------------
% 2.00/0.62  % (2342)Instruction limit reached!
% 2.00/0.62  % (2342)------------------------------
% 2.00/0.62  % (2342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.62  % (2342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2342)Termination reason: Unknown
% 2.00/0.62  % (2342)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2342)Memory used [KB]: 6780
% 2.00/0.62  % (2342)Time elapsed: 0.200 s
% 2.00/0.62  % (2342)Instructions burned: 52 (million)
% 2.00/0.62  % (2342)------------------------------
% 2.00/0.62  % (2342)------------------------------
% 2.00/0.62  % (2341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.62  % (2341)Termination reason: Unknown
% 2.00/0.62  % (2341)Termination phase: Saturation
% 2.00/0.62  
% 2.00/0.62  % (2341)Memory used [KB]: 1663
% 2.00/0.62  % (2341)Time elapsed: 0.185 s
% 2.00/0.62  % (2341)Instructions burned: 49 (million)
% 2.00/0.62  % (2341)------------------------------
% 2.00/0.62  % (2341)------------------------------
% 2.00/0.63  % (2359)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 2.00/0.63  % (2363)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 2.00/0.63  % (2352)Instruction limit reached!
% 2.00/0.63  % (2352)------------------------------
% 2.00/0.63  % (2352)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (2352)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (2352)Termination reason: Unknown
% 2.00/0.63  % (2352)Termination phase: Saturation
% 2.00/0.63  
% 2.00/0.63  % (2352)Memory used [KB]: 6012
% 2.00/0.63  % (2352)Time elapsed: 0.141 s
% 2.00/0.63  % (2352)Instructions burned: 10 (million)
% 2.00/0.63  % (2352)------------------------------
% 2.00/0.63  % (2352)------------------------------
% 2.00/0.63  % (2363)Refutation not found, incomplete strategy% (2363)------------------------------
% 2.00/0.63  % (2363)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.63  % (2363)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.63  % (2363)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.63  
% 2.00/0.63  % (2363)Memory used [KB]: 6012
% 2.00/0.63  % (2363)Time elapsed: 0.218 s
% 2.00/0.63  % (2363)Instructions burned: 6 (million)
% 2.00/0.63  % (2363)------------------------------
% 2.00/0.63  % (2363)------------------------------
% 2.00/0.63  % (2356)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 2.00/0.64  % (2353)Instruction limit reached!
% 2.00/0.64  % (2353)------------------------------
% 2.00/0.64  % (2353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.64  % (2353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.64  % (2353)Termination reason: Unknown
% 2.00/0.64  % (2353)Termination phase: Saturation
% 2.00/0.64  
% 2.00/0.64  % (2353)Memory used [KB]: 10746
% 2.00/0.64  % (2353)Time elapsed: 0.216 s
% 2.00/0.64  % (2353)Instructions burned: 28 (million)
% 2.00/0.64  % (2353)------------------------------
% 2.00/0.64  % (2353)------------------------------
% 2.00/0.65  % (2340)Instruction limit reached!
% 2.00/0.65  % (2340)------------------------------
% 2.00/0.65  % (2340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.00/0.65  % (2340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.00/0.65  % (2340)Termination reason: Unknown
% 2.00/0.65  % (2340)Termination phase: Saturation
% 2.00/0.65  
% 2.00/0.65  % (2340)Memory used [KB]: 6268
% 2.00/0.65  % (2340)Time elapsed: 0.226 s
% 2.00/0.65  % (2340)Instructions burned: 25 (million)
% 2.00/0.65  % (2340)------------------------------
% 2.00/0.65  % (2340)------------------------------
% 2.29/0.66  % (2346)Instruction limit reached!
% 2.29/0.66  % (2346)------------------------------
% 2.29/0.66  % (2346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.66  % (2346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.66  % (2346)Termination reason: Unknown
% 2.29/0.66  % (2346)Termination phase: Saturation
% 2.29/0.66  
% 2.29/0.66  % (2346)Memory used [KB]: 6268
% 2.29/0.66  % (2346)Time elapsed: 0.228 s
% 2.29/0.66  % (2346)Instructions burned: 24 (million)
% 2.29/0.66  % (2346)------------------------------
% 2.29/0.66  % (2346)------------------------------
% 2.29/0.68  % (2336)Instruction limit reached!
% 2.29/0.68  % (2336)------------------------------
% 2.29/0.68  % (2336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.68  % (2336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.68  % (2336)Termination reason: Unknown
% 2.29/0.68  % (2336)Termination phase: Saturation
% 2.29/0.68  
% 2.29/0.68  % (2336)Memory used [KB]: 1791
% 2.29/0.68  % (2336)Time elapsed: 0.219 s
% 2.29/0.68  % (2336)Instructions burned: 42 (million)
% 2.29/0.68  % (2336)------------------------------
% 2.29/0.68  % (2336)------------------------------
% 2.29/0.69  % (2344)Instruction limit reached!
% 2.29/0.69  % (2344)------------------------------
% 2.29/0.69  % (2344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.69  % (2344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.69  % (2344)Termination reason: Unknown
% 2.29/0.69  % (2344)Termination phase: Saturation
% 2.29/0.69  
% 2.29/0.69  % (2344)Memory used [KB]: 6908
% 2.29/0.69  % (2344)Time elapsed: 0.231 s
% 2.29/0.69  % (2344)Instructions burned: 51 (million)
% 2.29/0.69  % (2344)------------------------------
% 2.29/0.69  % (2344)------------------------------
% 2.29/0.69  % (2369)lrs+4_1:1_fde=unused:sos=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/39Mi)
% 2.29/0.70  % (2357)Instruction limit reached!
% 2.29/0.70  % (2357)------------------------------
% 2.29/0.70  % (2357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.71  % (2362)Refutation not found, non-redundant clauses discarded% (2362)------------------------------
% 2.29/0.71  % (2362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.71  % (2362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.71  % (2362)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.29/0.71  
% 2.29/0.71  % (2362)Memory used [KB]: 1663
% 2.29/0.71  % (2362)Time elapsed: 0.291 s
% 2.29/0.71  % (2362)Instructions burned: 60 (million)
% 2.29/0.71  % (2362)------------------------------
% 2.29/0.71  % (2362)------------------------------
% 2.29/0.71  % (2357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.71  % (2357)Termination reason: Unknown
% 2.29/0.71  % (2357)Termination phase: Saturation
% 2.29/0.71  
% 2.29/0.71  % (2357)Memory used [KB]: 6780
% 2.29/0.71  % (2357)Time elapsed: 0.271 s
% 2.29/0.71  % (2357)Instructions burned: 98 (million)
% 2.29/0.71  % (2357)------------------------------
% 2.29/0.71  % (2357)------------------------------
% 2.29/0.71  % (2359)Instruction limit reached!
% 2.29/0.71  % (2359)------------------------------
% 2.29/0.71  % (2359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.71  % (2359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.71  % (2359)Termination reason: Unknown
% 2.29/0.71  % (2359)Termination phase: Saturation
% 2.29/0.71  
% 2.29/0.71  % (2359)Memory used [KB]: 7036
% 2.29/0.71  % (2359)Time elapsed: 0.273 s
% 2.29/0.71  % (2359)Instructions burned: 47 (million)
% 2.29/0.71  % (2359)------------------------------
% 2.29/0.71  % (2359)------------------------------
% 2.29/0.71  % (2335)First to succeed.
% 2.29/0.71  % (2373)dis+1002_1:32_av=off:awrs=decay:awrsf=16:bs=on:fsr=off:gs=on:gsp=on:nwc=1.4:s2a=on:s2agt=32:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/34Mi)
% 2.29/0.72  % (2335)Refutation found. Thanks to Tanya!
% 2.29/0.72  % SZS status Unsatisfiable for theBenchmark
% 2.29/0.72  % SZS output start Proof for theBenchmark
% See solution above
% 2.29/0.72  % (2335)------------------------------
% 2.29/0.72  % (2335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.29/0.72  % (2335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.29/0.72  % (2335)Termination reason: Refutation
% 2.29/0.72  
% 2.29/0.72  % (2335)Memory used [KB]: 6524
% 2.29/0.72  % (2335)Time elapsed: 0.293 s
% 2.29/0.72  % (2335)Instructions burned: 51 (million)
% 2.29/0.72  % (2335)------------------------------
% 2.29/0.72  % (2335)------------------------------
% 2.29/0.72  % (2334)Success in time 0.37 s
%------------------------------------------------------------------------------