TSTP Solution File: GRP302-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 02:28:27 EDT 2024

% Result   : Unsatisfiable 0.62s 0.81s
% Output   : Refutation 0.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   36
% Syntax   : Number of formulae    :  136 (  13 unt;   0 def)
%            Number of atoms       :  373 ( 182 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  454 ( 217   ~; 222   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   17 (  15 usr;  16 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   48 (  48   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1487,plain,
    $false,
    inference(avatar_sat_refutation,[],[f44,f49,f54,f59,f64,f70,f71,f72,f73,f74,f79,f82,f83,f89,f92,f93,f107,f120,f135,f158,f168,f1185,f1384,f1409,f1410,f1421,f1485]) ).

fof(f1485,plain,
    ( spl0_19
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f1484,f56,f51,f36,f151]) ).

fof(f151,plain,
    ( spl0_19
  <=> identity = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f36,plain,
    ( spl0_2
  <=> sk_c7 = inverse(sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f51,plain,
    ( spl0_5
  <=> inverse(sk_c5) = sk_c4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f56,plain,
    ( spl0_6
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f1484,plain,
    ( identity = sk_c6
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1479,f4]) ).

fof(f4,axiom,
    multiply(sk_c8,sk_c7) = sk_c6,
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_1) ).

fof(f1479,plain,
    ( identity = multiply(sk_c8,sk_c7)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f147,f1475]) ).

fof(f1475,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1471,f38]) ).

fof(f38,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f1471,plain,
    ( inverse(sk_c8) = sk_c4
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f53,f1467]) ).

fof(f1467,plain,
    ( sk_c8 = sk_c5
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f1464,f1447]) ).

fof(f1447,plain,
    ( sk_c8 = multiply(sk_c8,identity)
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1443,f1418]) ).

fof(f1418,plain,
    ( ! [X0] : multiply(sk_c6,X0) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1417,f195]) ).

fof(f195,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f184,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',left_identity) ).

fof(f184,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',associativity) ).

fof(f1417,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(inverse(sk_c7),multiply(sk_c7,X0))
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f1051,f38]) ).

fof(f1051,plain,
    ! [X0] : multiply(sk_c6,X0) = multiply(inverse(inverse(sk_c8)),multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f1008]) ).

fof(f1008,plain,
    sk_c6 = multiply(inverse(inverse(sk_c8)),sk_c7),
    inference(superposition,[],[f195,f923]) ).

fof(f923,plain,
    sk_c7 = multiply(inverse(sk_c8),sk_c6),
    inference(superposition,[],[f195,f4]) ).

fof(f1443,plain,
    ( multiply(sk_c8,identity) = multiply(sk_c6,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f188,f1253]) ).

fof(f1253,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f38]) ).

fof(f188,plain,
    ! [X0] : multiply(sk_c6,X0) = multiply(sk_c8,multiply(sk_c7,X0)),
    inference(superposition,[],[f3,f4]) ).

fof(f1464,plain,
    ( sk_c5 = multiply(sk_c8,identity)
    | ~ spl0_5
    | ~ spl0_6 ),
    inference(superposition,[],[f200,f1438]) ).

fof(f1438,plain,
    ( identity = multiply(sk_c4,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f53]) ).

fof(f200,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f193,f1]) ).

fof(f193,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f147]) ).

fof(f53,plain,
    ( inverse(sk_c5) = sk_c4
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f147,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f58]) ).

fof(f58,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f1421,plain,
    ( spl0_19
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1024,f86,f76,f151]) ).

fof(f76,plain,
    ( spl0_9
  <=> sk_c6 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f86,plain,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1024,plain,
    ( identity = sk_c6
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f929,f2]) ).

fof(f929,plain,
    ( sk_c6 = multiply(inverse(sk_c8),sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f195,f262]) ).

fof(f262,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f201,f78]) ).

fof(f78,plain,
    ( sk_c6 = multiply(sk_c2,sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f194,f1]) ).

fof(f194,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f160]) ).

fof(f160,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f88]) ).

fof(f88,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f1410,plain,
    ( spl0_20
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1232,f151,f56,f155]) ).

fof(f155,plain,
    ( spl0_20
  <=> sk_c8 = inverse(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f1232,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(superposition,[],[f58,f1047]) ).

fof(f1047,plain,
    ( sk_c7 = sk_c4
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1042,f923]) ).

fof(f1042,plain,
    ( sk_c4 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_6
    | ~ spl0_19 ),
    inference(superposition,[],[f948,f58]) ).

fof(f948,plain,
    ( ! [X0] : multiply(inverse(inverse(X0)),sk_c6) = X0
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f889,f152]) ).

fof(f152,plain,
    ( identity = sk_c6
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f151]) ).

fof(f889,plain,
    ! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
    inference(superposition,[],[f195,f2]) ).

fof(f1409,plain,
    ( spl0_20
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1237,f151,f86,f155]) ).

fof(f1237,plain,
    ( sk_c8 = inverse(sk_c7)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f88,f1048]) ).

fof(f1048,plain,
    ( sk_c7 = sk_c2
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f1043,f923]) ).

fof(f1043,plain,
    ( sk_c2 = multiply(inverse(sk_c8),sk_c6)
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(superposition,[],[f948,f88]) ).

fof(f1384,plain,
    ( ~ spl0_20
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1383,f105,f66,f36,f32,f155]) ).

fof(f32,plain,
    ( spl0_1
  <=> sk_c8 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f66,plain,
    ( spl0_8
  <=> sk_c8 = multiply(sk_c1,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f105,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c8 != inverse(inverse(X6))
        | inverse(X6) != multiply(X6,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1383,plain,
    ( sk_c8 != inverse(sk_c7)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1382,f38]) ).

fof(f1382,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1381]) ).

fof(f1381,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1354,f38]) ).

fof(f1354,plain,
    ( sk_c7 != inverse(sk_c8)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13 ),
    inference(superposition,[],[f106,f211]) ).

fof(f211,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f198,f68]) ).

fof(f68,plain,
    ( sk_c8 = multiply(sk_c1,sk_c7)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f198,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f191,f1]) ).

fof(f191,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f159]) ).

fof(f159,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f34]) ).

fof(f34,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f106,plain,
    ( ! [X6] :
        ( inverse(X6) != multiply(X6,sk_c8)
        | sk_c8 != inverse(inverse(X6)) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f1185,plain,
    ( spl0_2
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f1181,f151,f36]) ).

fof(f1181,plain,
    ( sk_c7 = inverse(sk_c8)
    | ~ spl0_19 ),
    inference(superposition,[],[f948,f1050]) ).

fof(f1050,plain,
    sk_c7 = multiply(inverse(inverse(inverse(sk_c8))),sk_c6),
    inference(superposition,[],[f195,f1008]) ).

fof(f168,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f166,f99,f66,f32]) ).

fof(f99,plain,
    ( spl0_11
  <=> ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f166,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f163]) ).

fof(f163,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f100,f68]) ).

fof(f100,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f158,plain,
    ( ~ spl0_19
    | ~ spl0_20
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f149,f102,f36,f155,f151]) ).

fof(f102,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c6 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f149,plain,
    ( sk_c8 != inverse(sk_c7)
    | identity != sk_c6
    | ~ spl0_2
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f148,f38]) ).

fof(f148,plain,
    ( identity != sk_c6
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_12 ),
    inference(superposition,[],[f103,f2]) ).

fof(f103,plain,
    ( ! [X4] :
        ( sk_c6 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f135,plain,
    ( ~ spl0_6
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f134,f105,f61,f51,f56]) ).

fof(f61,plain,
    ( spl0_7
  <=> sk_c4 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f134,plain,
    ( sk_c8 != inverse(sk_c4)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f133,f53]) ).

fof(f133,plain,
    ( sk_c8 != inverse(inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f132]) ).

fof(f132,plain,
    ( sk_c4 != sk_c4
    | sk_c8 != inverse(inverse(sk_c5))
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f131,f53]) ).

fof(f131,plain,
    ( inverse(sk_c5) != sk_c4
    | sk_c8 != inverse(inverse(sk_c5))
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f106,f63]) ).

fof(f63,plain,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f120,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f110,f99,f46,f41]) ).

fof(f41,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f46,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f110,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f109]) ).

fof(f109,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_4
    | ~ spl0_11 ),
    inference(superposition,[],[f100,f48]) ).

fof(f48,plain,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f107,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | spl0_11
    | spl0_13 ),
    inference(avatar_split_clause,[],[f97,f105,f99,f36,f102,f99]) ).

fof(f97,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c8 != inverse(inverse(X6))
      | inverse(X6) != multiply(X6,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(inner_rewriting,[],[f96]) ).

fof(f96,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c8 != inverse(multiply(X6,sk_c8))
      | inverse(X6) != multiply(X6,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(trivial_inequality_removal,[],[f95]) ).

fof(f95,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c6 != sk_c6
      | sk_c8 != inverse(multiply(X6,sk_c8))
      | inverse(X6) != multiply(X6,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(forward_demodulation,[],[f30,f4]) ).

fof(f30,plain,
    ! [X3,X6,X4,X5] :
      ( sk_c8 != inverse(multiply(X6,sk_c8))
      | inverse(X6) != multiply(X6,sk_c8)
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,axiom,
    ! [X3,X6,X7,X4,X5] :
      ( multiply(X6,sk_c8) != X7
      | sk_c8 != inverse(X7)
      | inverse(X6) != X7
      | sk_c8 != multiply(X5,sk_c7)
      | sk_c8 != inverse(X5)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != inverse(X4)
      | sk_c6 != multiply(X4,sk_c8)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3)
      | multiply(sk_c8,sk_c7) != sk_c6 ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_26) ).

fof(f93,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f27,f56,f86]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_24) ).

fof(f92,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f26,f51,f86]) ).

fof(f26,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_23) ).

fof(f89,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f23,f36,f86]) ).

fof(f23,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_20) ).

fof(f83,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f21,f56,f76]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_18) ).

fof(f82,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f20,f51,f76]) ).

fof(f20,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_17) ).

fof(f79,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f17,f36,f76]) ).

fof(f17,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c6 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_14) ).

fof(f74,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f16,f61,f66]) ).

fof(f16,axiom,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_13) ).

fof(f73,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f15,f56,f66]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_12) ).

fof(f72,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f14,f51,f66]) ).

fof(f14,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_11) ).

fof(f71,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f13,f46,f66]) ).

fof(f13,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_10) ).

fof(f70,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f12,f41,f66]) ).

fof(f12,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_9) ).

fof(f64,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f10,f61,f32]) ).

fof(f10,axiom,
    ( sk_c4 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_7) ).

fof(f59,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f9,f56,f32]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_6) ).

fof(f54,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f8,f51,f32]) ).

fof(f8,axiom,
    ( inverse(sk_c5) = sk_c4
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_5) ).

fof(f49,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f7,f46,f32]) ).

fof(f7,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_4) ).

fof(f44,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f6,f41,f32]) ).

fof(f6,axiom,
    ( sk_c8 = inverse(sk_c3)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036',prove_this_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : GRP302-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n009.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 18:18:11 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.sQeE7gJXbC/Vampire---4.8_29036
% 0.62/0.79  % (29249)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.62/0.79  % (29255)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.62/0.79  % (29253)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.62/0.79  % (29251)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.62/0.79  % (29248)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.79  % (29250)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.62/0.79  % (29255)Refutation not found, incomplete strategy% (29255)------------------------------
% 0.62/0.79  % (29255)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (29255)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (29255)Memory used [KB]: 996
% 0.62/0.79  % (29255)Time elapsed: 0.003 s
% 0.62/0.79  % (29255)Instructions burned: 3 (million)
% 0.62/0.79  % (29255)------------------------------
% 0.62/0.79  % (29255)------------------------------
% 0.62/0.79  % (29252)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.62/0.79  % (29254)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.62/0.79  % (29248)Refutation not found, incomplete strategy% (29248)------------------------------
% 0.62/0.79  % (29248)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (29248)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (29248)Memory used [KB]: 1011
% 0.62/0.79  % (29248)Time elapsed: 0.006 s
% 0.62/0.79  % (29251)Refutation not found, incomplete strategy% (29251)------------------------------
% 0.62/0.79  % (29251)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (29251)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (29251)Memory used [KB]: 997
% 0.62/0.79  % (29251)Time elapsed: 0.005 s
% 0.62/0.79  % (29251)Instructions burned: 4 (million)
% 0.62/0.79  % (29251)------------------------------
% 0.62/0.79  % (29251)------------------------------
% 0.62/0.79  % (29248)Instructions burned: 4 (million)
% 0.62/0.79  % (29248)------------------------------
% 0.62/0.79  % (29248)------------------------------
% 0.62/0.79  % (29252)Refutation not found, incomplete strategy% (29252)------------------------------
% 0.62/0.79  % (29252)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.79  % (29257)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.62/0.79  % (29252)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.79  
% 0.62/0.79  % (29252)Memory used [KB]: 1011
% 0.62/0.79  % (29252)Time elapsed: 0.006 s
% 0.62/0.79  % (29252)Instructions burned: 4 (million)
% 0.62/0.79  % (29252)------------------------------
% 0.62/0.79  % (29252)------------------------------
% 0.62/0.80  % (29259)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.62/0.80  % (29260)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.62/0.80  % (29261)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.62/0.80  % (29259)Refutation not found, incomplete strategy% (29259)------------------------------
% 0.62/0.80  % (29259)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.80  % (29259)Termination reason: Refutation not found, incomplete strategy
% 0.62/0.80  
% 0.62/0.80  % (29259)Memory used [KB]: 991
% 0.62/0.80  % (29259)Time elapsed: 0.005 s
% 0.62/0.80  % (29259)Instructions burned: 5 (million)
% 0.62/0.80  % (29259)------------------------------
% 0.62/0.80  % (29259)------------------------------
% 0.62/0.80  % (29263)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.62/0.81  % (29253)Instruction limit reached!
% 0.62/0.81  % (29253)------------------------------
% 0.62/0.81  % (29253)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.81  % (29253)Termination reason: Unknown
% 0.62/0.81  % (29253)Termination phase: Saturation
% 0.62/0.81  
% 0.62/0.81  % (29253)Memory used [KB]: 1648
% 0.62/0.81  % (29253)Time elapsed: 0.025 s
% 0.62/0.81  % (29253)Instructions burned: 46 (million)
% 0.62/0.81  % (29253)------------------------------
% 0.62/0.81  % (29253)------------------------------
% 0.62/0.81  % (29249)First to succeed.
% 0.62/0.81  % (29249)Refutation found. Thanks to Tanya!
% 0.62/0.81  % SZS status Unsatisfiable for Vampire---4
% 0.62/0.81  % SZS output start Proof for Vampire---4
% See solution above
% 0.62/0.82  % (29249)------------------------------
% 0.62/0.82  % (29249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.62/0.82  % (29249)Termination reason: Refutation
% 0.62/0.82  
% 0.62/0.82  % (29249)Memory used [KB]: 1439
% 0.62/0.82  % (29249)Time elapsed: 0.029 s
% 0.62/0.82  % (29249)Instructions burned: 47 (million)
% 0.62/0.82  % (29249)------------------------------
% 0.62/0.82  % (29249)------------------------------
% 0.62/0.82  % (29202)Success in time 0.448 s
% 0.62/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------