TSTP Solution File: GRP230-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP230-1 : 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 02:28:11 EDT 2024

% Result   : Unsatisfiable 0.61s 0.77s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   45
% Syntax   : Number of formulae    :  200 (   4 unt;   0 def)
%            Number of atoms       :  640 ( 227 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  858 ( 418   ~; 423   |;   0   &)
%                                         (  17 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   19 (  17 usr;  18 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f729,plain,
    $false,
    inference(avatar_sat_refutation,[],[f39,f44,f49,f54,f59,f64,f69,f70,f71,f72,f73,f74,f79,f80,f81,f82,f83,f84,f89,f90,f91,f92,f93,f94,f107,f124,f129,f145,f148,f190,f253,f325,f417,f454,f514,f651,f682,f698,f708,f726]) ).

fof(f726,plain,
    ( spl0_16
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(avatar_split_clause,[],[f725,f142,f86,f76,f66,f116]) ).

fof(f116,plain,
    ( spl0_16
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

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

fof(f76,plain,
    ( spl0_9
  <=> sk_c8 = multiply(sk_c2,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f86,plain,
    ( spl0_10
  <=> sk_c7 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f142,plain,
    ( spl0_19
  <=> sk_c7 = multiply(sk_c8,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f725,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f724,f68]) ).

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

fof(f724,plain,
    ( sk_c7 = multiply(sk_c1,sk_c7)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_19 ),
    inference(forward_demodulation,[],[f721,f143]) ).

fof(f143,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f721,plain,
    ( multiply(sk_c1,sk_c7) = multiply(sk_c8,sk_c8)
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f657,f684]) ).

fof(f684,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f663,f78]) ).

fof(f78,plain,
    ( sk_c8 = multiply(sk_c2,sk_c7)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f663,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f662,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',left_identity) ).

fof(f662,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f653]) ).

fof(f653,plain,
    ( identity = multiply(sk_c7,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f88]) ).

fof(f88,plain,
    ( sk_c7 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',associativity) ).

fof(f657,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c7,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f68]) ).

fof(f708,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f707,f96,f66,f32]) ).

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

fof(f96,plain,
    ( spl0_11
  <=> ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f707,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f702]) ).

fof(f702,plain,
    ( sk_c8 != sk_c8
    | inverse(sk_c1) != sk_c8
    | ~ spl0_8
    | ~ spl0_11 ),
    inference(superposition,[],[f97,f68]) ).

fof(f97,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c7)
        | sk_c8 != inverse(X3) )
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f698,plain,
    ( ~ spl0_10
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f694,f99,f76,f86]) ).

fof(f99,plain,
    ( spl0_12
  <=> ! [X4] :
        ( sk_c7 != inverse(X4)
        | sk_c8 != multiply(X4,sk_c7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f694,plain,
    ( sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f693]) ).

fof(f693,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != inverse(sk_c2)
    | ~ spl0_9
    | ~ spl0_12 ),
    inference(superposition,[],[f100,f78]) ).

fof(f100,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c7)
        | sk_c7 != inverse(X4) )
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f682,plain,
    ( spl0_19
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f677,f66,f32,f142]) ).

fof(f677,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f661,f68]) ).

fof(f661,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f660,f1]) ).

fof(f660,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f652]) ).

fof(f652,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f34]) ).

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

fof(f651,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f650]) ).

fof(f650,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_15
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f649]) ).

fof(f649,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f648,f571]) ).

fof(f571,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f566,f328]) ).

fof(f328,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f48,f117]) ).

fof(f117,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f48,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f46,plain,
    ( spl0_4
  <=> sk_c8 = multiply(sk_c4,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f566,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f530,f38]) ).

fof(f38,plain,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f36,plain,
    ( spl0_2
  <=> sk_c8 = multiply(sk_c3,sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f530,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f529,f1]) ).

fof(f529,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f521]) ).

fof(f521,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c4 = inverse(sk_c3)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_3
  <=> sk_c4 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f648,plain,
    ( sk_c8 != sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f610,f43]) ).

fof(f610,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | spl0_15
    | ~ spl0_16 ),
    inference(superposition,[],[f114,f597]) ).

fof(f597,plain,
    ( identity = sk_c3
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f595,f576]) ).

fof(f576,plain,
    ( identity = multiply(sk_c8,sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f521,f571]) ).

fof(f595,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f589,f571]) ).

fof(f589,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f530,f584]) ).

fof(f584,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f583,f1]) ).

fof(f583,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f582,f567]) ).

fof(f567,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f168,f530]) ).

fof(f168,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c4,X0)) = multiply(sk_c8,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f38]) ).

fof(f582,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f576]) ).

fof(f114,plain,
    ( sk_c8 != inverse(identity)
    | spl0_15 ),
    inference(avatar_component_clause,[],[f112]) ).

fof(f112,plain,
    ( spl0_15
  <=> sk_c8 = inverse(identity) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f514,plain,
    ( ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f513]) ).

fof(f513,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f509]) ).

fof(f509,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f505,f257]) ).

fof(f257,plain,
    ( sk_c8 = multiply(sk_c1,sk_c8)
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f68,f117]) ).

fof(f505,plain,
    ( sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f504]) ).

fof(f504,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f501,f270]) ).

fof(f270,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_16 ),
    inference(superposition,[],[f263,f257]) ).

fof(f263,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_1 ),
    inference(forward_demodulation,[],[f262,f1]) ).

fof(f262,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f258]) ).

fof(f258,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_1 ),
    inference(superposition,[],[f2,f34]) ).

fof(f501,plain,
    ( sk_c8 != multiply(sk_c8,sk_c8)
    | sk_c8 != multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(superposition,[],[f457,f34]) ).

fof(f457,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c8)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_13
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f103,f117]) ).

fof(f103,plain,
    ( ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5)) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f102,plain,
    ( spl0_13
  <=> ! [X5] :
        ( sk_c8 != multiply(inverse(X5),sk_c7)
        | sk_c8 != multiply(X5,inverse(X5)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f454,plain,
    ( ~ spl0_1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f453,f116,f112,f86,f76,f32,f32]) ).

fof(f453,plain,
    ( inverse(sk_c1) != sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | spl0_15
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f114,f435]) ).

fof(f435,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f430,f258]) ).

fof(f430,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f429,f1]) ).

fof(f429,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,X0)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f428,f306]) ).

fof(f306,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f260,f263]) ).

fof(f260,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f256]) ).

fof(f256,plain,
    ( sk_c8 = multiply(sk_c2,sk_c8)
    | ~ spl0_9
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f78,f117]) ).

fof(f428,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f3,f425]) ).

fof(f425,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(superposition,[],[f2,f420]) ).

fof(f420,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f88,f117]) ).

fof(f417,plain,
    ( ~ spl0_16
    | ~ spl0_2
    | ~ spl0_3
    | spl0_19 ),
    inference(avatar_split_clause,[],[f416,f142,f41,f36,f116]) ).

fof(f416,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | spl0_19 ),
    inference(forward_demodulation,[],[f144,f254]) ).

fof(f254,plain,
    ( sk_c8 = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f222,f38]) ).

fof(f222,plain,
    ( multiply(sk_c3,sk_c4) = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f168,f179]) ).

fof(f179,plain,
    ( sk_c4 = multiply(sk_c4,sk_c8)
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f176,f38]) ).

fof(f176,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c3,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f175,f1]) ).

fof(f175,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c4,multiply(sk_c3,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f152]) ).

fof(f152,plain,
    ( identity = multiply(sk_c4,sk_c3)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f43]) ).

fof(f144,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | spl0_19 ),
    inference(avatar_component_clause,[],[f142]) ).

fof(f325,plain,
    ( ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f324]) ).

fof(f324,plain,
    ( $false
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f323]) ).

fof(f323,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f322,f255]) ).

fof(f255,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f88,f117]) ).

fof(f322,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f321]) ).

fof(f321,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f319,f117]) ).

fof(f319,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_9
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f97,f306]) ).

fof(f253,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(avatar_contradiction_clause,[],[f252]) ).

fof(f252,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f251]) ).

fof(f251,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f250,f193]) ).

fof(f193,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f192,f179]) ).

fof(f192,plain,
    ( sk_c8 = multiply(sk_c4,sk_c8)
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f48,f117]) ).

fof(f250,plain,
    ( sk_c8 != sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f249,f43]) ).

fof(f249,plain,
    ( sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f248]) ).

fof(f248,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f243,f117]) ).

fof(f243,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(sk_c3)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_11
    | ~ spl0_16 ),
    inference(superposition,[],[f97,f228]) ).

fof(f228,plain,
    ( ! [X0] : multiply(sk_c3,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(forward_demodulation,[],[f220,f201]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c3,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_16 ),
    inference(superposition,[],[f176,f193]) ).

fof(f220,plain,
    ( ! [X0] : multiply(sk_c3,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f168,f176]) ).

fof(f190,plain,
    ( spl0_16
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f187,f61,f56,f51,f116]) ).

fof(f51,plain,
    ( spl0_5
  <=> sk_c7 = multiply(sk_c8,sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f56,plain,
    ( spl0_6
  <=> sk_c6 = multiply(sk_c5,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

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

fof(f187,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f53,f183]) ).

fof(f183,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f178,f58]) ).

fof(f58,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f178,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f177,f1]) ).

fof(f177,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f153]) ).

fof(f153,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_7 ),
    inference(superposition,[],[f2,f63]) ).

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

fof(f53,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f148,plain,
    ( ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f147,f105,f61,f56,f51]) ).

fof(f105,plain,
    ( spl0_14
  <=> ! [X8] :
        ( sk_c8 != inverse(X8)
        | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f147,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f146]) ).

fof(f146,plain,
    ( sk_c8 != sk_c8
    | sk_c7 != multiply(sk_c8,sk_c6)
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f140,f63]) ).

fof(f140,plain,
    ( sk_c7 != multiply(sk_c8,sk_c6)
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_14 ),
    inference(superposition,[],[f106,f58]) ).

fof(f106,plain,
    ( ! [X8] :
        ( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f105]) ).

fof(f145,plain,
    ( ~ spl0_15
    | ~ spl0_19
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f139,f105,f142,f112]) ).

fof(f139,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | sk_c8 != inverse(identity)
    | ~ spl0_14 ),
    inference(superposition,[],[f106,f1]) ).

fof(f129,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f128,f102,f46,f41,f36]) ).

fof(f128,plain,
    ( sk_c8 != multiply(sk_c3,sk_c4)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f127]) ).

fof(f127,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != multiply(sk_c3,sk_c4)
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f125,f48]) ).

fof(f125,plain,
    ( sk_c8 != multiply(sk_c4,sk_c7)
    | sk_c8 != multiply(sk_c3,sk_c4)
    | ~ spl0_3
    | ~ spl0_13 ),
    inference(superposition,[],[f103,f43]) ).

fof(f124,plain,
    ( ~ spl0_15
    | ~ spl0_16
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f123,f99,f116,f112]) ).

fof(f123,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(identity)
    | ~ spl0_12 ),
    inference(inner_rewriting,[],[f120]) ).

fof(f120,plain,
    ( sk_c8 != sk_c7
    | sk_c7 != inverse(identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f100,f1]) ).

fof(f107,plain,
    ( spl0_11
    | spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f105,f102,f99,f96]) ).

fof(f30,plain,
    ! [X3,X8,X4,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(inverse(X5),sk_c7)
      | sk_c8 != multiply(X5,inverse(X5))
      | sk_c7 != inverse(X4)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(equality_resolution,[],[f29]) ).

fof(f29,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sk_c8 != inverse(X8)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(X6,sk_c7)
      | inverse(X5) != X6
      | sk_c8 != multiply(X5,X6)
      | sk_c7 != inverse(X4)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    inference(equality_resolution,[],[f28]) ).

fof(f28,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c8 != inverse(X8)
      | multiply(X8,sk_c8) != X7
      | sk_c7 != multiply(sk_c8,X7)
      | sk_c8 != multiply(X6,sk_c7)
      | inverse(X5) != X6
      | sk_c8 != multiply(X5,X6)
      | sk_c7 != inverse(X4)
      | sk_c8 != multiply(X4,sk_c7)
      | sk_c8 != multiply(X3,sk_c7)
      | sk_c8 != inverse(X3) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_25) ).

fof(f94,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f27,f61,f86]) ).

fof(f27,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_24) ).

fof(f93,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f26,f56,f86]) ).

fof(f26,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_23) ).

fof(f92,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f25,f51,f86]) ).

fof(f25,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_22) ).

fof(f91,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f46,f86]) ).

fof(f24,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_21) ).

fof(f90,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f41,f86]) ).

fof(f23,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_20) ).

fof(f89,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f36,f86]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c7 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_19) ).

fof(f84,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f21,f61,f76]) ).

fof(f21,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_18) ).

fof(f83,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f56,f76]) ).

fof(f20,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_17) ).

fof(f82,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f51,f76]) ).

fof(f19,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_16) ).

fof(f81,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f46,f76]) ).

fof(f18,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_15) ).

fof(f80,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f41,f76]) ).

fof(f17,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_14) ).

fof(f79,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f36,f76]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_13) ).

fof(f74,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f61,f66]) ).

fof(f15,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_12) ).

fof(f73,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f56,f66]) ).

fof(f14,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_11) ).

fof(f72,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f51,f66]) ).

fof(f13,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_10) ).

fof(f71,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f46,f66]) ).

fof(f12,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_9) ).

fof(f70,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f41,f66]) ).

fof(f11,axiom,
    ( sk_c4 = inverse(sk_c3)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_8) ).

fof(f69,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f36,f66]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | sk_c8 = multiply(sk_c1,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_7) ).

fof(f64,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f61,f32]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_6) ).

fof(f59,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f56,f32]) ).

fof(f8,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_5) ).

fof(f54,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f51,f32]) ).

fof(f7,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_4) ).

fof(f49,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f46,f32]) ).

fof(f6,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_3) ).

fof(f44,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f41,f32]) ).

fof(f5,axiom,
    ( sk_c4 = inverse(sk_c3)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_2) ).

fof(f39,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f36,f32]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c3,sk_c4)
    | inverse(sk_c1) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : GRP230-1 : TPTP v8.1.2. Released v2.5.0.
% 0.08/0.15  % 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
% 0.15/0.36  % Computer : n029.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % 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 18:47:50 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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.qrrInYXzwV/Vampire---4.8_7216
% 0.59/0.75  % (7332)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 (2996ds/56Mi)
% 0.59/0.76  % (7332)Refutation not found, incomplete strategy% (7332)------------------------------
% 0.59/0.76  % (7332)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7332)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7332)Memory used [KB]: 981
% 0.59/0.76  % (7325)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 (2996ds/34Mi)
% 0.59/0.76  % (7332)Time elapsed: 0.002 s
% 0.59/0.76  % (7332)Instructions burned: 3 (million)
% 0.59/0.76  % (7332)------------------------------
% 0.59/0.76  % (7332)------------------------------
% 0.59/0.76  % (7327)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.59/0.76  % (7326)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 (2996ds/51Mi)
% 0.59/0.76  % (7329)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 (2996ds/34Mi)
% 0.59/0.76  % (7330)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.59/0.76  % (7328)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.59/0.76  % (7331)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 (2996ds/83Mi)
% 0.59/0.76  % (7325)Refutation not found, incomplete strategy% (7325)------------------------------
% 0.59/0.76  % (7325)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7325)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7325)Memory used [KB]: 995
% 0.59/0.76  % (7325)Time elapsed: 0.003 s
% 0.59/0.76  % (7325)Instructions burned: 4 (million)
% 0.59/0.76  % (7325)------------------------------
% 0.59/0.76  % (7325)------------------------------
% 0.59/0.76  % (7329)Refutation not found, incomplete strategy% (7329)------------------------------
% 0.59/0.76  % (7329)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7329)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7329)Memory used [KB]: 996
% 0.59/0.76  % (7328)Refutation not found, incomplete strategy% (7328)------------------------------
% 0.59/0.76  % (7328)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.59/0.76  % (7328)Termination reason: Refutation not found, incomplete strategy
% 0.59/0.76  
% 0.59/0.76  % (7328)Memory used [KB]: 980
% 0.59/0.76  % (7328)Time elapsed: 0.003 s
% 0.59/0.76  % (7328)Instructions burned: 4 (million)
% 0.59/0.76  % (7328)------------------------------
% 0.59/0.76  % (7328)------------------------------
% 0.59/0.76  % (7329)Time elapsed: 0.003 s
% 0.59/0.76  % (7329)Instructions burned: 4 (million)
% 0.59/0.76  % (7329)------------------------------
% 0.59/0.76  % (7329)------------------------------
% 0.59/0.76  % (7333)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 (2996ds/55Mi)
% 0.61/0.76  % (7335)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 (2996ds/208Mi)
% 0.61/0.76  % (7334)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 (2996ds/50Mi)
% 0.61/0.76  % (7336)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 (2996ds/52Mi)
% 0.61/0.76  % (7334)Refutation not found, incomplete strategy% (7334)------------------------------
% 0.61/0.76  % (7334)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.76  % (7334)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (7334)Memory used [KB]: 987
% 0.61/0.76  % (7334)Time elapsed: 0.004 s
% 0.61/0.76  % (7334)Instructions burned: 5 (million)
% 0.61/0.76  % (7334)------------------------------
% 0.61/0.76  % (7334)------------------------------
% 0.61/0.77  % (7337)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 (2996ds/518Mi)
% 0.61/0.77  % (7326)First to succeed.
% 0.61/0.77  % (7326)Refutation found. Thanks to Tanya!
% 0.61/0.77  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.77  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.78  % (7326)------------------------------
% 0.61/0.78  % (7326)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (7326)Termination reason: Refutation
% 0.61/0.78  
% 0.61/0.78  % (7326)Memory used [KB]: 1198
% 0.61/0.78  % (7326)Time elapsed: 0.020 s
% 0.61/0.78  % (7326)Instructions burned: 30 (million)
% 0.61/0.78  % (7326)------------------------------
% 0.61/0.78  % (7326)------------------------------
% 0.61/0.78  % (7323)Success in time 0.403 s
% 0.61/0.78  % Vampire---4.8 exiting
%------------------------------------------------------------------------------