TSTP Solution File: GRP291-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP291-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n002.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 21:07:56 EDT 2024

% Result   : Unsatisfiable 0.74s 0.90s
% Output   : Refutation 0.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :   42
% Syntax   : Number of formulae    :  229 (   4 unt;   0 def)
%            Number of atoms       : 1034 ( 263 equ)
%            Maximal formula atoms :   11 (   4 avg)
%            Number of connectives : 1622 ( 817   ~; 790   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1389,plain,
    $false,
    inference(avatar_sat_refutation,[],[f38,f43,f48,f63,f64,f65,f66,f67,f72,f73,f74,f75,f76,f81,f82,f83,f84,f85,f90,f91,f92,f93,f94,f107,f321,f363,f402,f443,f445,f506,f626,f1007,f1052,f1092,f1124,f1220,f1312,f1317,f1353,f1383]) ).

fof(f1383,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1382,f495,f102,f60,f69]) ).

fof(f69,plain,
    ( spl0_8
  <=> sk_c7 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f60,plain,
    ( spl0_7
  <=> sk_c6 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f102,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f495,plain,
    ( spl0_18
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f1382,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1381]) ).

fof(f1381,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1363,f496]) ).

fof(f496,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f1363,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(superposition,[],[f1354,f62]) ).

fof(f62,plain,
    ( sk_c6 = multiply(sk_c1,sk_c7)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f60]) ).

fof(f1354,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f103,f496]) ).

fof(f103,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c6)
        | sk_c7 != inverse(X5) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f1353,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1352,f99,f87,f78,f69,f60,f31,f69]) ).

fof(f31,plain,
    ( spl0_1
  <=> multiply(sk_c7,sk_c6) = sk_c5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f78,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c2,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f87,plain,
    ( spl0_10
  <=> sk_c5 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f99,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c5 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f1352,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1332,f1242]) ).

fof(f1242,plain,
    ( sk_c1 = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1204,f1203]) ).

fof(f1203,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f446,f1178]) ).

fof(f1178,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f511,f1170]) ).

fof(f1170,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1165,f511]) ).

fof(f1165,plain,
    ( ! [X0] : multiply(sk_c2,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f451,f456]) ).

fof(f456,plain,
    ( ! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f455,f1]) ).

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

fof(f455,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f447]) ).

fof(f447,plain,
    ( identity = multiply(sk_c5,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f89]) ).

fof(f89,plain,
    ( sk_c5 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f87]) ).

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

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

fof(f451,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c5,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f80]) ).

fof(f80,plain,
    ( sk_c7 = multiply(sk_c2,sk_c5)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f78]) ).

fof(f511,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f509,f1]) ).

fof(f509,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f476]) ).

fof(f476,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f447,f466]) ).

fof(f466,plain,
    ( sk_c7 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f462,f33]) ).

fof(f33,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f31]) ).

fof(f462,plain,
    ( sk_c7 = multiply(sk_c7,sk_c6)
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f454,f62]) ).

fof(f454,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f453,f1]) ).

fof(f453,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f446]) ).

fof(f446,plain,
    ( identity = multiply(sk_c7,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f71]) ).

fof(f71,plain,
    ( sk_c7 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f69]) ).

fof(f1204,plain,
    ( identity = sk_c2
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f476,f1178]) ).

fof(f1332,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1331]) ).

fof(f1331,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1319,f1170]) ).

fof(f1319,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1318,f466]) ).

fof(f1318,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f100,f466]) ).

fof(f100,plain,
    ( ! [X4] :
        ( sk_c5 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f1317,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1316,f495,f105,f87,f78,f69,f60,f31,f69]) ).

fof(f105,plain,
    ( spl0_14
  <=> ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1316,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1296,f1242]) ).

fof(f1296,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1295]) ).

fof(f1295,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f1226,f1170]) ).

fof(f1226,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1225,f496]) ).

fof(f1225,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1224,f496]) ).

fof(f1224,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f106,f466]) ).

fof(f106,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c5)
        | sk_c6 != inverse(X6) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f1312,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1311,f495,f105,f69,f60,f31,f69]) ).

fof(f1311,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1310]) ).

fof(f1310,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1292,f496]) ).

fof(f1292,plain,
    ( sk_c7 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f1226,f62]) ).

fof(f1220,plain,
    ( spl0_18
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1219,f87,f78,f69,f60,f31,f495]) ).

fof(f1219,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f1201,f466]) ).

fof(f1201,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f33,f1178]) ).

fof(f1124,plain,
    ( ~ spl0_18
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1121,f87,f78,f69,f60,f35,f31,f495]) ).

fof(f35,plain,
    ( spl0_2
  <=> sk_c5 = multiply(sk_c6,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1121,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1116,f605]) ).

fof(f605,plain,
    ( sk_c6 = multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f593,f62]) ).

fof(f593,plain,
    ( multiply(sk_c6,sk_c7) = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f450,f531]) ).

fof(f531,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f528,f466]) ).

fof(f528,plain,
    ( sk_c5 = multiply(sk_c5,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f456,f80]) ).

fof(f450,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f62]) ).

fof(f1116,plain,
    ( sk_c7 != multiply(sk_c6,sk_c7)
    | ~ spl0_1
    | spl0_2
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f36,f466]) ).

fof(f36,plain,
    ( sk_c5 != multiply(sk_c6,sk_c7)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f1092,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f1091,f495,f102,f87,f78,f69,f60,f40,f35,f31,f40]) ).

fof(f40,plain,
    ( spl0_3
  <=> sk_c7 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1091,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f1068,f755]) ).

fof(f755,plain,
    ( sk_c3 = sk_c2
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f754,f513]) ).

fof(f513,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f512,f1]) ).

fof(f512,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f479]) ).

fof(f479,plain,
    ( identity = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f474,f108]) ).

fof(f108,plain,
    ( identity = multiply(sk_c7,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f42]) ).

fof(f42,plain,
    ( sk_c7 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f474,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c6,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f131,f466]) ).

fof(f131,plain,
    ( multiply(sk_c5,sk_c3) = multiply(sk_c6,identity)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f114,f108]) ).

fof(f114,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(sk_c5,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f37]) ).

fof(f37,plain,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f35]) ).

fof(f754,plain,
    ( sk_c2 = multiply(sk_c6,sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f596,f616]) ).

fof(f616,plain,
    ( sk_c2 = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f598,f513]) ).

fof(f598,plain,
    ( multiply(sk_c1,identity) = multiply(sk_c6,sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_10 ),
    inference(superposition,[],[f450,f476]) ).

fof(f596,plain,
    ( multiply(sk_c6,sk_c3) = multiply(sk_c1,identity)
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f450,f108]) ).

fof(f1068,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f1067]) ).

fof(f1067,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(superposition,[],[f1053,f473]) ).

fof(f473,plain,
    ( sk_c7 = multiply(sk_c2,sk_c7)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9 ),
    inference(superposition,[],[f80,f466]) ).

fof(f1053,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_13
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f103,f496]) ).

fof(f1052,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1051,f99,f87,f78,f69,f60,f40,f35,f31,f40]) ).

fof(f1051,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1028,f755]) ).

fof(f1028,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f1027]) ).

fof(f1027,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f1013,f473]) ).

fof(f1013,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1012,f466]) ).

fof(f1012,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f100,f466]) ).

fof(f1007,plain,
    ( ~ spl0_3
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f970,f495,f105,f87,f78,f69,f60,f40,f35,f31,f40]) ).

fof(f970,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(trivial_inequality_removal,[],[f959]) ).

fof(f959,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(superposition,[],[f623,f767]) ).

fof(f767,plain,
    ( sk_c7 = multiply(sk_c3,sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f760,f466]) ).

fof(f760,plain,
    ( sk_c7 = multiply(sk_c3,sk_c5)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f80,f755]) ).

fof(f623,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f622,f496]) ).

fof(f622,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_18 ),
    inference(forward_demodulation,[],[f621,f496]) ).

fof(f621,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_1
    | ~ spl0_7
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f106,f466]) ).

fof(f626,plain,
    ( ~ spl0_18
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f625,f69,f60,f55,f50,f40,f35,f31,f495]) ).

fof(f50,plain,
    ( spl0_5
  <=> sk_c6 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f55,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c4,sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f625,plain,
    ( sk_c7 != sk_c6
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f624,f514]) ).

fof(f514,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(superposition,[],[f513,f122]) ).

fof(f122,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f115,f1]) ).

fof(f115,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f109]) ).

fof(f109,plain,
    ( identity = multiply(sk_c6,sk_c4)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f52]) ).

fof(f52,plain,
    ( sk_c6 = inverse(sk_c4)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f50]) ).

fof(f624,plain,
    ( sk_c6 != multiply(sk_c4,sk_c7)
    | ~ spl0_1
    | spl0_6
    | ~ spl0_7
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f56,f466]) ).

fof(f56,plain,
    ( sk_c6 != multiply(sk_c4,sk_c5)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f506,plain,
    ( ~ spl0_8
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f488,f96,f60,f69]) ).

fof(f96,plain,
    ( spl0_11
  <=> ! [X3] :
        ( sk_c7 != inverse(X3)
        | sk_c6 != multiply(X3,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f488,plain,
    ( sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f487]) ).

fof(f487,plain,
    ( sk_c6 != sk_c6
    | sk_c7 != inverse(sk_c1)
    | ~ spl0_7
    | ~ spl0_11 ),
    inference(superposition,[],[f97,f62]) ).

fof(f97,plain,
    ( ! [X3] :
        ( sk_c6 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f445,plain,
    ( spl0_1
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f154,f45,f40,f35,f31]) ).

fof(f45,plain,
    ( spl0_4
  <=> sk_c7 = multiply(sk_c3,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f154,plain,
    ( multiply(sk_c7,sk_c6) = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f121,f150]) ).

fof(f150,plain,
    ( sk_c6 = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(forward_demodulation,[],[f144,f123]) ).

fof(f123,plain,
    ( sk_c6 = multiply(sk_c7,sk_c7)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f121,f47]) ).

fof(f47,plain,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f45]) ).

fof(f144,plain,
    ( multiply(sk_c7,sk_c7) = multiply(sk_c3,sk_c5)
    | ~ spl0_2
    | ~ spl0_4 ),
    inference(superposition,[],[f116,f37]) ).

fof(f116,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c3,multiply(sk_c6,X0))
    | ~ spl0_4 ),
    inference(superposition,[],[f3,f47]) ).

fof(f121,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f113,f1]) ).

fof(f113,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f108]) ).

fof(f443,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f442,f105,f55,f50,f45,f40,f35,f40]) ).

fof(f442,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f418,f224]) ).

fof(f224,plain,
    ( sk_c3 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f217,f216]) ).

fof(f216,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f195,f108]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f194,f1]) ).

fof(f194,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f163]) ).

fof(f163,plain,
    ( identity = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f162,f108]) ).

fof(f162,plain,
    ( multiply(sk_c7,sk_c3) = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f158,f161]) ).

fof(f161,plain,
    ( sk_c7 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f157,f47]) ).

fof(f157,plain,
    ( sk_c6 = multiply(sk_c3,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f150,f156]) ).

fof(f156,plain,
    ( sk_c6 = sk_c5
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f154,f151]) ).

fof(f151,plain,
    ( sk_c6 = multiply(sk_c7,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f145,f150]) ).

fof(f145,plain,
    ( multiply(sk_c7,sk_c6) = multiply(sk_c3,sk_c5)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f116,f127]) ).

fof(f127,plain,
    ( sk_c5 = multiply(sk_c6,sk_c6)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f122,f57]) ).

fof(f57,plain,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f55]) ).

fof(f158,plain,
    ( multiply(sk_c6,identity) = multiply(sk_c6,sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f131,f156]) ).

fof(f217,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f195,f169]) ).

fof(f169,plain,
    ( identity = multiply(sk_c7,sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f109,f161]) ).

fof(f418,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f417]) ).

fof(f417,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f405,f199]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f197,f195]) ).

fof(f197,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c4,multiply(sk_c7,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f165]) ).

fof(f165,plain,
    ( sk_c7 = multiply(sk_c4,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f160,f161]) ).

fof(f160,plain,
    ( sk_c6 = multiply(sk_c4,sk_c6)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f57,f156]) ).

fof(f405,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c7 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f404,f161]) ).

fof(f404,plain,
    ( ! [X6] :
        ( sk_c7 != multiply(X6,sk_c7)
        | sk_c6 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f403,f161]) ).

fof(f403,plain,
    ( ! [X6] :
        ( sk_c6 != multiply(X6,sk_c6)
        | sk_c6 != inverse(X6) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f106,f156]) ).

fof(f402,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f401,f102,f55,f50,f45,f40,f35,f40]) ).

fof(f401,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f377,f224]) ).

fof(f377,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f376]) ).

fof(f376,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(superposition,[],[f364,f199]) ).

fof(f364,plain,
    ( ! [X5] :
        ( sk_c7 != multiply(X5,sk_c7)
        | sk_c7 != inverse(X5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f103,f161]) ).

fof(f363,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f362,f99,f55,f50,f45,f40,f35,f40]) ).

fof(f362,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f338,f224]) ).

fof(f338,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f337]) ).

fof(f337,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(superposition,[],[f325,f199]) ).

fof(f325,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f324,f161]) ).

fof(f324,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c6)
        | sk_c7 != inverse(X4) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f323,f156]) ).

fof(f323,plain,
    ( ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f322,f161]) ).

fof(f322,plain,
    ( ! [X4] :
        ( sk_c6 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c5) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f100,f156]) ).

fof(f321,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f320,f96,f55,f50,f45,f40,f35,f40]) ).

fof(f320,plain,
    ( sk_c7 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f288,f224]) ).

fof(f288,plain,
    ( sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f287]) ).

fof(f287,plain,
    ( sk_c7 != sk_c7
    | sk_c7 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f185,f199]) ).

fof(f185,plain,
    ( ! [X3] :
        ( sk_c7 != multiply(X3,sk_c7)
        | sk_c7 != inverse(X3) )
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f97,f161]) ).

fof(f107,plain,
    ( ~ spl0_1
    | spl0_11
    | spl0_12
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f29,f105,f102,f35,f99,f96,f31]) ).

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

fof(f94,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f28,f55,f87]) ).

fof(f28,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).

fof(f93,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f27,f50,f87]) ).

fof(f27,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).

fof(f92,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f26,f45,f87]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).

fof(f91,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f25,f40,f87]) ).

fof(f25,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).

fof(f90,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f24,f35,f87]) ).

fof(f24,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c5 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).

fof(f85,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f23,f55,f78]) ).

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

fof(f84,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f22,f50,f78]) ).

fof(f22,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).

fof(f83,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f21,f45,f78]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).

fof(f82,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f20,f40,f78]) ).

fof(f20,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = multiply(sk_c2,sk_c5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).

fof(f81,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f19,f35,f78]) ).

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

fof(f76,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f18,f55,f69]) ).

fof(f18,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).

fof(f75,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f17,f50,f69]) ).

fof(f17,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).

fof(f74,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f16,f45,f69]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).

fof(f73,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f15,f40,f69]) ).

fof(f15,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).

fof(f72,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f14,f35,f69]) ).

fof(f14,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c7 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).

fof(f67,plain,
    ( spl0_7
    | spl0_6 ),
    inference(avatar_split_clause,[],[f13,f55,f60]) ).

fof(f13,axiom,
    ( sk_c6 = multiply(sk_c4,sk_c5)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).

fof(f66,plain,
    ( spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f12,f50,f60]) ).

fof(f12,axiom,
    ( sk_c6 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).

fof(f65,plain,
    ( spl0_7
    | spl0_4 ),
    inference(avatar_split_clause,[],[f11,f45,f60]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c3,sk_c6)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).

fof(f64,plain,
    ( spl0_7
    | spl0_3 ),
    inference(avatar_split_clause,[],[f10,f40,f60]) ).

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c3)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).

fof(f63,plain,
    ( spl0_7
    | spl0_2 ),
    inference(avatar_split_clause,[],[f9,f35,f60]) ).

fof(f9,axiom,
    ( sk_c5 = multiply(sk_c6,sk_c7)
    | sk_c6 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).

fof(f48,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f45,f31]) ).

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

fof(f43,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f40,f31]) ).

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

fof(f38,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f35,f31]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : GRP291-1 : TPTP v8.2.0. Released v2.5.0.
% 0.00/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.32  % Computer : n002.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 300
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Sun May 19 05:20:38 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.10/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.88  % (3591)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.69/0.88  % (3593)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.69/0.88  % (3590)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.69/0.88  % (3588)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.69/0.88  % (3589)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.69/0.88  % (3592)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.69/0.88  % (3594)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.69/0.88  % (3595)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.69/0.88  % (3591)Refutation not found, incomplete strategy% (3591)------------------------------
% 0.69/0.88  % (3591)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3591)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (3591)Memory used [KB]: 995
% 0.69/0.88  % (3591)Time elapsed: 0.003 s
% 0.69/0.88  % (3591)Instructions burned: 3 (million)
% 0.69/0.88  % (3588)Refutation not found, incomplete strategy% (3588)------------------------------
% 0.69/0.88  % (3588)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3588)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (3588)Memory used [KB]: 1003
% 0.69/0.88  % (3588)Time elapsed: 0.004 s
% 0.69/0.88  % (3588)Instructions burned: 3 (million)
% 0.69/0.88  % (3595)Refutation not found, incomplete strategy% (3595)------------------------------
% 0.69/0.88  % (3595)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3595)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (3595)Memory used [KB]: 988
% 0.69/0.88  % (3595)Time elapsed: 0.003 s
% 0.69/0.88  % (3595)Instructions burned: 3 (million)
% 0.69/0.88  % (3591)------------------------------
% 0.69/0.88  % (3591)------------------------------
% 0.69/0.88  % (3592)Refutation not found, incomplete strategy% (3592)------------------------------
% 0.69/0.88  % (3592)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3593)Refutation not found, incomplete strategy% (3593)------------------------------
% 0.69/0.88  % (3593)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3592)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (3593)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  % (3592)Memory used [KB]: 1002
% 0.69/0.88  
% 0.69/0.88  % (3593)Memory used [KB]: 992
% 0.69/0.88  % (3592)Time elapsed: 0.004 s
% 0.69/0.88  % (3593)Time elapsed: 0.003 s
% 0.69/0.88  % (3592)Instructions burned: 4 (million)
% 0.69/0.88  % (3593)Instructions burned: 4 (million)
% 0.69/0.88  % (3588)------------------------------
% 0.69/0.88  % (3588)------------------------------
% 0.69/0.88  % (3595)------------------------------
% 0.69/0.88  % (3595)------------------------------
% 0.69/0.88  % (3593)------------------------------
% 0.69/0.88  % (3593)------------------------------
% 0.69/0.88  % (3592)------------------------------
% 0.69/0.88  % (3592)------------------------------
% 0.69/0.88  % (3590)Refutation not found, incomplete strategy% (3590)------------------------------
% 0.69/0.88  % (3590)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.69/0.88  % (3590)Termination reason: Refutation not found, incomplete strategy
% 0.69/0.88  
% 0.69/0.88  % (3590)Memory used [KB]: 1058
% 0.69/0.88  % (3590)Time elapsed: 0.004 s
% 0.69/0.88  % (3590)Instructions burned: 4 (million)
% 0.69/0.88  % (3590)------------------------------
% 0.69/0.88  % (3590)------------------------------
% 0.74/0.88  % (3598)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.74/0.88  % (3596)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.74/0.88  % (3599)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.74/0.88  % (3597)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.74/0.88  % (3600)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.74/0.88  % (3601)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.74/0.88  % (3597)Refutation not found, incomplete strategy% (3597)------------------------------
% 0.74/0.88  % (3597)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.88  % (3597)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.88  
% 0.74/0.88  % (3597)Memory used [KB]: 997
% 0.74/0.88  % (3597)Time elapsed: 0.004 s
% 0.74/0.88  % (3597)Instructions burned: 4 (million)
% 0.74/0.88  % (3599)Refutation not found, incomplete strategy% (3599)------------------------------
% 0.74/0.88  % (3599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.88  % (3599)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.88  
% 0.74/0.88  % (3599)Memory used [KB]: 1058
% 0.74/0.88  % (3599)Time elapsed: 0.004 s
% 0.74/0.88  % (3599)Instructions burned: 4 (million)
% 0.74/0.88  % (3597)------------------------------
% 0.74/0.88  % (3597)------------------------------
% 0.74/0.88  % (3601)Refutation not found, incomplete strategy% (3601)------------------------------
% 0.74/0.88  % (3601)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.88  % (3600)Refutation not found, incomplete strategy% (3600)------------------------------
% 0.74/0.88  % (3600)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.88  % (3600)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.88  
% 0.74/0.88  % (3600)Memory used [KB]: 992
% 0.74/0.88  % (3600)Time elapsed: 0.004 s
% 0.74/0.88  % (3600)Instructions burned: 4 (million)
% 0.74/0.88  % (3601)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.88  
% 0.74/0.88  % (3601)Memory used [KB]: 1009
% 0.74/0.88  % (3601)Time elapsed: 0.004 s
% 0.74/0.88  % (3601)Instructions burned: 4 (million)
% 0.74/0.88  % (3599)------------------------------
% 0.74/0.88  % (3599)------------------------------
% 0.74/0.88  % (3596)Refutation not found, incomplete strategy% (3596)------------------------------
% 0.74/0.88  % (3596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.88  % (3596)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.88  
% 0.74/0.88  % (3596)Memory used [KB]: 1068
% 0.74/0.88  % (3596)Time elapsed: 0.004 s
% 0.74/0.88  % (3600)------------------------------
% 0.74/0.88  % (3600)------------------------------
% 0.74/0.88  % (3596)Instructions burned: 5 (million)
% 0.74/0.88  % (3601)------------------------------
% 0.74/0.88  % (3601)------------------------------
% 0.74/0.88  % (3596)------------------------------
% 0.74/0.88  % (3596)------------------------------
% 0.74/0.89  % (3598)Refutation not found, incomplete strategy% (3598)------------------------------
% 0.74/0.89  % (3598)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3598)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3598)Memory used [KB]: 1087
% 0.74/0.89  % (3598)Time elapsed: 0.006 s
% 0.74/0.89  % (3598)Instructions burned: 9 (million)
% 0.74/0.89  % (3598)------------------------------
% 0.74/0.89  % (3598)------------------------------
% 0.74/0.89  % (3603)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2994ds/117Mi)
% 0.74/0.89  % (3602)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.74/0.89  % (3604)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2994ds/143Mi)
% 0.74/0.89  % (3605)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2994ds/93Mi)
% 0.74/0.89  % (3606)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2994ds/62Mi)
% 0.74/0.89  % (3603)Refutation not found, incomplete strategy% (3603)------------------------------
% 0.74/0.89  % (3603)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3603)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3603)Memory used [KB]: 989
% 0.74/0.89  % (3603)Time elapsed: 0.003 s
% 0.74/0.89  % (3603)Instructions burned: 3 (million)
% 0.74/0.89  % (3603)------------------------------
% 0.74/0.89  % (3603)------------------------------
% 0.74/0.89  % (3606)Refutation not found, incomplete strategy% (3606)------------------------------
% 0.74/0.89  % (3606)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3604)Refutation not found, incomplete strategy% (3604)------------------------------
% 0.74/0.89  % (3604)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3604)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3604)Memory used [KB]: 1005
% 0.74/0.89  % (3604)Time elapsed: 0.003 s
% 0.74/0.89  % (3604)Instructions burned: 3 (million)
% 0.74/0.89  % (3606)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3606)Memory used [KB]: 989
% 0.74/0.89  % (3606)Time elapsed: 0.003 s
% 0.74/0.89  % (3606)Instructions burned: 3 (million)
% 0.74/0.89  % (3604)------------------------------
% 0.74/0.89  % (3604)------------------------------
% 0.74/0.89  % (3607)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2994ds/32Mi)
% 0.74/0.89  % (3606)------------------------------
% 0.74/0.89  % (3606)------------------------------
% 0.74/0.89  % (3608)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2994ds/1919Mi)
% 0.74/0.89  % (3609)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on theBenchmark for (2994ds/55Mi)
% 0.74/0.89  % (3610)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on theBenchmark for (2994ds/53Mi)
% 0.74/0.89  % (3608)Refutation not found, incomplete strategy% (3608)------------------------------
% 0.74/0.89  % (3608)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3608)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3608)Memory used [KB]: 1059
% 0.74/0.89  % (3608)Time elapsed: 0.004 s
% 0.74/0.89  % (3608)Instructions burned: 5 (million)
% 0.74/0.89  % (3608)------------------------------
% 0.74/0.89  % (3608)------------------------------
% 0.74/0.89  % (3609)Refutation not found, incomplete strategy% (3609)------------------------------
% 0.74/0.89  % (3609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.89  % (3609)Termination reason: Refutation not found, incomplete strategy
% 0.74/0.89  
% 0.74/0.89  % (3609)Memory used [KB]: 1005
% 0.74/0.89  % (3609)Time elapsed: 0.003 s
% 0.74/0.90  % (3609)Instructions burned: 4 (million)
% 0.74/0.90  % (3609)------------------------------
% 0.74/0.90  % (3609)------------------------------
% 0.74/0.90  % (3589)First to succeed.
% 0.74/0.90  % (3611)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on theBenchmark for (2994ds/46Mi)
% 0.74/0.90  % (3589)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3517"
% 0.74/0.90  % (3612)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on theBenchmark for (2994ds/102Mi)
% 0.74/0.90  % (3589)Refutation found. Thanks to Tanya!
% 0.74/0.90  % SZS status Unsatisfiable for theBenchmark
% 0.74/0.90  % SZS output start Proof for theBenchmark
% See solution above
% 0.74/0.90  % (3589)------------------------------
% 0.74/0.90  % (3589)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.74/0.90  % (3589)Termination reason: Refutation
% 0.74/0.90  
% 0.74/0.90  % (3589)Memory used [KB]: 1349
% 0.74/0.90  % (3589)Time elapsed: 0.025 s
% 0.74/0.90  % (3589)Instructions burned: 41 (million)
% 0.74/0.90  % (3517)Success in time 0.56 s
% 0.74/0.90  % Vampire---4.8 exiting
%------------------------------------------------------------------------------