TSTP Solution File: GRP247-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP247-1 : 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 : n003.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 02:28:15 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  193 (   4 unt;   0 def)
%            Number of atoms       :  629 ( 211 equ)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  820 ( 384   ~; 420   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   49 (  49   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1799,plain,
    $false,
    inference(avatar_sat_refutation,[],[f49,f54,f59,f64,f69,f74,f79,f80,f81,f82,f83,f84,f89,f90,f91,f92,f93,f94,f99,f100,f101,f102,f103,f104,f110,f113,f114,f119,f120,f121,f122,f123,f124,f137,f140,f144,f171,f368,f1479,f1559,f1562,f1765,f1798]) ).

fof(f1798,plain,
    ( ~ spl0_1
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f1797,f126,f116,f106,f96,f86,f76,f42,f42]) ).

fof(f42,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c9) = sk_c8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f76,plain,
    ( spl0_8
  <=> sk_c9 = inverse(sk_c1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f86,plain,
    ( spl0_9
  <=> sk_c7 = multiply(sk_c2,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f96,plain,
    ( spl0_10
  <=> sk_c8 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f106,plain,
    ( spl0_11
  <=> sk_c9 = inverse(sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f116,plain,
    ( spl0_12
  <=> sk_c9 = multiply(sk_c3,sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f126,plain,
    ( spl0_13
  <=> ! [X3] :
        ( sk_c9 != inverse(X3)
        | sk_c8 != multiply(X3,sk_c9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1797,plain,
    ( multiply(sk_c1,sk_c9) != sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f1796]) ).

fof(f1796,plain,
    ( sk_c9 != sk_c9
    | multiply(sk_c1,sk_c9) != sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f1782,f108]) ).

fof(f108,plain,
    ( sk_c9 = inverse(sk_c3)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f106]) ).

fof(f1782,plain,
    ( multiply(sk_c1,sk_c9) != sk_c8
    | sk_c9 != inverse(sk_c3)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_13 ),
    inference(superposition,[],[f127,f1397]) ).

fof(f1397,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c3,X0)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f1391,f456]) ).

fof(f456,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c3,X0))
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f372,f385]) ).

fof(f385,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c3,X0)) = X0
    | ~ spl0_11 ),
    inference(forward_demodulation,[],[f383,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',left_identity) ).

fof(f383,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c3,X0))
    | ~ spl0_11 ),
    inference(superposition,[],[f3,f371]) ).

fof(f371,plain,
    ( identity = multiply(sk_c9,sk_c3)
    | ~ spl0_11 ),
    inference(superposition,[],[f2,f108]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',associativity) ).

fof(f372,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c9,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f44]) ).

fof(f44,plain,
    ( multiply(sk_c1,sk_c9) = sk_c8
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f42]) ).

fof(f1391,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1388,f1]) ).

fof(f1388,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(identity,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f1384]) ).

fof(f1384,plain,
    ( identity = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1383,f370]) ).

fof(f370,plain,
    ( identity = multiply(sk_c8,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f98]) ).

fof(f98,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f96]) ).

fof(f1383,plain,
    ( multiply(sk_c8,sk_c2) = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1381,f372]) ).

fof(f1381,plain,
    ( multiply(sk_c1,multiply(sk_c9,sk_c2)) = multiply(sk_c8,identity)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f372,f1367]) ).

fof(f1367,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c9,sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1351,f1240]) ).

fof(f1240,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c7,X0))
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f1225]) ).

fof(f1225,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f986,f118]) ).

fof(f118,plain,
    ( sk_c9 = multiply(sk_c3,sk_c7)
    | ~ spl0_12 ),
    inference(avatar_component_clause,[],[f116]) ).

fof(f986,plain,
    ( multiply(sk_c3,sk_c7) = multiply(sk_c9,sk_c7)
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f374,f984]) ).

fof(f984,plain,
    ( sk_c7 = multiply(sk_c7,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f980,f88]) ).

fof(f88,plain,
    ( sk_c7 = multiply(sk_c2,sk_c8)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f980,plain,
    ( multiply(sk_c2,sk_c8) = multiply(sk_c7,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f373,f400]) ).

fof(f400,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f381,f88]) ).

fof(f381,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f379,f1]) ).

fof(f379,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f370]) ).

fof(f373,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c2,multiply(sk_c8,X0))
    | ~ spl0_9 ),
    inference(superposition,[],[f3,f88]) ).

fof(f374,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c3,multiply(sk_c7,X0))
    | ~ spl0_12 ),
    inference(superposition,[],[f3,f118]) ).

fof(f1351,plain,
    ( multiply(sk_c9,identity) = multiply(sk_c9,multiply(sk_c7,sk_c2))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f466,f998]) ).

fof(f998,plain,
    ( identity = multiply(sk_c8,multiply(sk_c7,sk_c2))
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f381,f515]) ).

fof(f515,plain,
    ( multiply(sk_c7,sk_c2) = multiply(sk_c2,identity)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f373,f370]) ).

fof(f466,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c9,multiply(sk_c8,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f377,f372]) ).

fof(f377,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f376,f1]) ).

fof(f376,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f369]) ).

fof(f369,plain,
    ( identity = multiply(sk_c9,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f78]) ).

fof(f78,plain,
    ( sk_c9 = inverse(sk_c1)
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f127,plain,
    ( ! [X3] :
        ( sk_c8 != multiply(X3,sk_c9)
        | sk_c9 != inverse(X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f126]) ).

fof(f1765,plain,
    ( ~ spl0_10
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f1740,f129,f116,f96,f86,f76,f42,f96]) ).

fof(f129,plain,
    ( spl0_14
  <=> ! [X4] :
        ( sk_c8 != inverse(X4)
        | sk_c7 != multiply(X4,sk_c8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1740,plain,
    ( sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f1737]) ).

fof(f1737,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(sk_c2)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(superposition,[],[f1563,f1396]) ).

fof(f1396,plain,
    ( ! [X0] : multiply(sk_c2,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1391,f381]) ).

fof(f1563,plain,
    ( ! [X4] :
        ( sk_c8 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f130,f1399]) ).

fof(f1399,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1391,f400]) ).

fof(f130,plain,
    ( ! [X4] :
        ( sk_c7 != multiply(X4,sk_c8)
        | sk_c8 != inverse(X4) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f129]) ).

fof(f1562,plain,
    ( spl0_16
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(avatar_split_clause,[],[f1561,f132,f116,f96,f86,f76,f42,f135]) ).

fof(f135,plain,
    ( spl0_16
  <=> ! [X8] :
        ( sk_c9 != multiply(X8,sk_c8)
        | sk_c9 != inverse(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f132,plain,
    ( spl0_15
  <=> ! [X5] :
        ( sk_c9 != multiply(X5,sk_c7)
        | sk_c9 != inverse(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f1561,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c8)
        | sk_c9 != inverse(X5) )
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f133,f1399]) ).

fof(f133,plain,
    ( ! [X5] :
        ( sk_c9 != multiply(X5,sk_c7)
        | sk_c9 != inverse(X5) )
    | ~ spl0_15 ),
    inference(avatar_component_clause,[],[f132]) ).

fof(f1559,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f1558,f135,f116,f106,f96,f86,f76,f42,f76]) ).

fof(f1558,plain,
    ( sk_c9 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f1556]) ).

fof(f1556,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12
    | ~ spl0_16 ),
    inference(superposition,[],[f136,f1485]) ).

fof(f1485,plain,
    ( sk_c9 = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1436,f1391]) ).

fof(f1436,plain,
    ( multiply(sk_c8,sk_c9) = multiply(sk_c1,sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f696,f1399]) ).

fof(f696,plain,
    ( multiply(sk_c8,sk_c9) = multiply(sk_c1,sk_c7)
    | ~ spl0_1
    | ~ spl0_11
    | ~ spl0_12 ),
    inference(superposition,[],[f456,f118]) ).

fof(f136,plain,
    ( ! [X8] :
        ( sk_c9 != multiply(X8,sk_c8)
        | sk_c9 != inverse(X8) )
    | ~ spl0_16 ),
    inference(avatar_component_clause,[],[f135]) ).

fof(f1479,plain,
    ( ~ spl0_1
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f1474,f116,f96,f86,f76,f51,f46,f42,f42]) ).

fof(f46,plain,
    ( spl0_2
  <=> sk_c8 = multiply(sk_c4,sk_c9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f51,plain,
    ( spl0_3
  <=> sk_c9 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1474,plain,
    ( multiply(sk_c1,sk_c9) != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f47,f1420]) ).

fof(f1420,plain,
    ( sk_c1 = sk_c4
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(forward_demodulation,[],[f1398,f1391]) ).

fof(f1398,plain,
    ( sk_c4 = multiply(sk_c8,sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f1391,f1250]) ).

fof(f1250,plain,
    ( multiply(sk_c8,sk_c4) = multiply(sk_c8,sk_c1)
    | ~ spl0_1
    | ~ spl0_3
    | ~ spl0_8 ),
    inference(superposition,[],[f463,f460]) ).

fof(f460,plain,
    ( multiply(sk_c8,sk_c1) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f372,f369]) ).

fof(f463,plain,
    ( multiply(sk_c8,sk_c4) = multiply(sk_c1,identity)
    | ~ spl0_1
    | ~ spl0_3 ),
    inference(superposition,[],[f372,f173]) ).

fof(f173,plain,
    ( identity = multiply(sk_c9,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f53]) ).

fof(f53,plain,
    ( sk_c9 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f51]) ).

fof(f47,plain,
    ( sk_c8 != multiply(sk_c4,sk_c9)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f368,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(avatar_contradiction_clause,[],[f367]) ).

fof(f367,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f366]) ).

fof(f366,plain,
    ( sk_c9 != sk_c9
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(superposition,[],[f364,f290]) ).

fof(f290,plain,
    ( sk_c9 = multiply(sk_c9,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f285,f73]) ).

fof(f73,plain,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f71,plain,
    ( spl0_7
  <=> sk_c9 = multiply(sk_c6,sk_c8) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f285,plain,
    ( multiply(sk_c6,sk_c8) = multiply(sk_c9,sk_c7)
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(superposition,[],[f194,f210]) ).

fof(f210,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_4
    | ~ spl0_5 ),
    inference(superposition,[],[f201,f58]) ).

fof(f58,plain,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f56]) ).

fof(f56,plain,
    ( spl0_4
  <=> multiply(sk_c5,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f201,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f191,f1]) ).

fof(f191,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_5 ),
    inference(superposition,[],[f3,f174]) ).

fof(f174,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl0_5 ),
    inference(superposition,[],[f2,f63]) ).

fof(f63,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f61]) ).

fof(f61,plain,
    ( spl0_5
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f194,plain,
    ( ! [X0] : multiply(sk_c9,X0) = multiply(sk_c6,multiply(sk_c8,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f73]) ).

fof(f364,plain,
    ( sk_c9 != multiply(sk_c9,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(trivial_inequality_removal,[],[f363]) ).

fof(f363,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != multiply(sk_c9,sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(forward_demodulation,[],[f359,f53]) ).

fof(f359,plain,
    ( sk_c9 != multiply(sk_c9,sk_c7)
    | sk_c9 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_15 ),
    inference(superposition,[],[f133,f324]) ).

fof(f324,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c9,X0)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f200,f318]) ).

fof(f318,plain,
    ( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f315,f199]) ).

fof(f199,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f189,f1]) ).

fof(f189,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c4,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f173]) ).

fof(f315,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c4,X0)) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_7 ),
    inference(superposition,[],[f194,f221]) ).

fof(f221,plain,
    ( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(superposition,[],[f192,f199]) ).

fof(f192,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = multiply(sk_c8,X0)
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f48]) ).

fof(f48,plain,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f46]) ).

fof(f200,plain,
    ( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
    | ~ spl0_6 ),
    inference(forward_demodulation,[],[f190,f1]) ).

fof(f190,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
    | ~ spl0_6 ),
    inference(superposition,[],[f3,f175]) ).

fof(f175,plain,
    ( identity = multiply(sk_c9,sk_c6)
    | ~ spl0_6 ),
    inference(superposition,[],[f2,f68]) ).

fof(f68,plain,
    ( sk_c9 = inverse(sk_c6)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f66]) ).

fof(f66,plain,
    ( spl0_6
  <=> sk_c9 = inverse(sk_c6) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f171,plain,
    ( ~ spl0_6
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f164,f135,f71,f66]) ).

fof(f164,plain,
    ( sk_c9 != inverse(sk_c6)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(trivial_inequality_removal,[],[f163]) ).

fof(f163,plain,
    ( sk_c9 != sk_c9
    | sk_c9 != inverse(sk_c6)
    | ~ spl0_7
    | ~ spl0_16 ),
    inference(superposition,[],[f136,f73]) ).

fof(f144,plain,
    ( ~ spl0_5
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(avatar_split_clause,[],[f143,f129,f56,f61]) ).

fof(f143,plain,
    ( sk_c8 != inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f141]) ).

fof(f141,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_4
    | ~ spl0_14 ),
    inference(superposition,[],[f130,f58]) ).

fof(f140,plain,
    ( ~ spl0_3
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f139,f126,f46,f51]) ).

fof(f139,plain,
    ( sk_c9 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f138]) ).

fof(f138,plain,
    ( sk_c8 != sk_c8
    | sk_c9 != inverse(sk_c4)
    | ~ spl0_2
    | ~ spl0_13 ),
    inference(superposition,[],[f127,f48]) ).

fof(f137,plain,
    ( spl0_13
    | spl0_14
    | spl0_15
    | spl0_13
    | spl0_14
    | spl0_16 ),
    inference(avatar_split_clause,[],[f40,f135,f129,f126,f132,f129,f126]) ).

fof(f40,axiom,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sk_c9 != multiply(X8,sk_c8)
      | sk_c9 != inverse(X8)
      | sk_c8 != inverse(X7)
      | sk_c7 != multiply(X7,sk_c8)
      | sk_c9 != inverse(X6)
      | sk_c8 != multiply(X6,sk_c9)
      | sk_c9 != multiply(X5,sk_c7)
      | sk_c9 != inverse(X5)
      | sk_c8 != inverse(X4)
      | sk_c7 != multiply(X4,sk_c8)
      | sk_c9 != inverse(X3)
      | sk_c8 != multiply(X3,sk_c9) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_37) ).

fof(f124,plain,
    ( spl0_12
    | spl0_7 ),
    inference(avatar_split_clause,[],[f39,f71,f116]) ).

fof(f39,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_36) ).

fof(f123,plain,
    ( spl0_12
    | spl0_6 ),
    inference(avatar_split_clause,[],[f38,f66,f116]) ).

fof(f38,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_35) ).

fof(f122,plain,
    ( spl0_12
    | spl0_5 ),
    inference(avatar_split_clause,[],[f37,f61,f116]) ).

fof(f37,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_34) ).

fof(f121,plain,
    ( spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f36,f56,f116]) ).

fof(f36,axiom,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_33) ).

fof(f120,plain,
    ( spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f35,f51,f116]) ).

fof(f35,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_32) ).

fof(f119,plain,
    ( spl0_12
    | spl0_2 ),
    inference(avatar_split_clause,[],[f34,f46,f116]) ).

fof(f34,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c9 = multiply(sk_c3,sk_c7) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_31) ).

fof(f114,plain,
    ( spl0_11
    | spl0_7 ),
    inference(avatar_split_clause,[],[f33,f71,f106]) ).

fof(f33,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_30) ).

fof(f113,plain,
    ( spl0_11
    | spl0_6 ),
    inference(avatar_split_clause,[],[f32,f66,f106]) ).

fof(f32,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_29) ).

fof(f110,plain,
    ( spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f29,f51,f106]) ).

fof(f29,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c3) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_26) ).

fof(f104,plain,
    ( spl0_10
    | spl0_7 ),
    inference(avatar_split_clause,[],[f27,f71,f96]) ).

fof(f27,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_24) ).

fof(f103,plain,
    ( spl0_10
    | spl0_6 ),
    inference(avatar_split_clause,[],[f26,f66,f96]) ).

fof(f26,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_23) ).

fof(f102,plain,
    ( spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f25,f61,f96]) ).

fof(f25,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_22) ).

fof(f101,plain,
    ( spl0_10
    | spl0_4 ),
    inference(avatar_split_clause,[],[f24,f56,f96]) ).

fof(f24,axiom,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_21) ).

fof(f100,plain,
    ( spl0_10
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f51,f96]) ).

fof(f23,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_20) ).

fof(f99,plain,
    ( spl0_10
    | spl0_2 ),
    inference(avatar_split_clause,[],[f22,f46,f96]) ).

fof(f22,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_19) ).

fof(f94,plain,
    ( spl0_9
    | spl0_7 ),
    inference(avatar_split_clause,[],[f21,f71,f86]) ).

fof(f21,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_18) ).

fof(f93,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f20,f66,f86]) ).

fof(f20,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_17) ).

fof(f92,plain,
    ( spl0_9
    | spl0_5 ),
    inference(avatar_split_clause,[],[f19,f61,f86]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_16) ).

fof(f91,plain,
    ( spl0_9
    | spl0_4 ),
    inference(avatar_split_clause,[],[f18,f56,f86]) ).

fof(f18,axiom,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_15) ).

fof(f90,plain,
    ( spl0_9
    | spl0_3 ),
    inference(avatar_split_clause,[],[f17,f51,f86]) ).

fof(f17,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_14) ).

fof(f89,plain,
    ( spl0_9
    | spl0_2 ),
    inference(avatar_split_clause,[],[f16,f46,f86]) ).

fof(f16,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c7 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_13) ).

fof(f84,plain,
    ( spl0_8
    | spl0_7 ),
    inference(avatar_split_clause,[],[f15,f71,f76]) ).

fof(f15,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_12) ).

fof(f83,plain,
    ( spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f14,f66,f76]) ).

fof(f14,axiom,
    ( sk_c9 = inverse(sk_c6)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_11) ).

fof(f82,plain,
    ( spl0_8
    | spl0_5 ),
    inference(avatar_split_clause,[],[f13,f61,f76]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_10) ).

fof(f81,plain,
    ( spl0_8
    | spl0_4 ),
    inference(avatar_split_clause,[],[f12,f56,f76]) ).

fof(f12,axiom,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_9) ).

fof(f80,plain,
    ( spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f11,f51,f76]) ).

fof(f11,axiom,
    ( sk_c9 = inverse(sk_c4)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_8) ).

fof(f79,plain,
    ( spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f10,f46,f76]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | sk_c9 = inverse(sk_c1) ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_7) ).

fof(f74,plain,
    ( spl0_1
    | spl0_7 ),
    inference(avatar_split_clause,[],[f9,f71,f42]) ).

fof(f9,axiom,
    ( sk_c9 = multiply(sk_c6,sk_c8)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_6) ).

fof(f69,plain,
    ( spl0_1
    | spl0_6 ),
    inference(avatar_split_clause,[],[f8,f66,f42]) ).

fof(f8,axiom,
    ( sk_c9 = inverse(sk_c6)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_5) ).

fof(f64,plain,
    ( spl0_1
    | spl0_5 ),
    inference(avatar_split_clause,[],[f7,f61,f42]) ).

fof(f7,axiom,
    ( sk_c8 = inverse(sk_c5)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_4) ).

fof(f59,plain,
    ( spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f6,f56,f42]) ).

fof(f6,axiom,
    ( multiply(sk_c5,sk_c8) = sk_c7
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_3) ).

fof(f54,plain,
    ( spl0_1
    | spl0_3 ),
    inference(avatar_split_clause,[],[f5,f51,f42]) ).

fof(f5,axiom,
    ( sk_c9 = inverse(sk_c4)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_2) ).

fof(f49,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f46,f42]) ).

fof(f4,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c9)
    | multiply(sk_c1,sk_c9) = sk_c8 ),
    file('/export/starexec/sandbox/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem    : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.02/0.12  % 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
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 18:34:18 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.11/0.33  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/tmp/tmp.vgAIVAePWJ/Vampire---4.8_15476
% 0.61/0.79  % (15602)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)
% 0.61/0.79  % (15606)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)
% 0.61/0.79  % (15604)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.79  % (15605)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)
% 0.61/0.79  % (15603)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)
% 0.61/0.79  % (15607)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)
% 0.61/0.79  % (15608)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)
% 0.61/0.79  % (15609)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)
% 0.61/0.79  % (15609)Refutation not found, incomplete strategy% (15609)------------------------------
% 0.61/0.79  % (15609)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (15609)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (15606)Refutation not found, incomplete strategy% (15606)------------------------------
% 0.61/0.79  % (15606)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (15606)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (15606)Memory used [KB]: 1017
% 0.61/0.79  % (15606)Time elapsed: 0.003 s
% 0.61/0.79  % (15606)Instructions burned: 4 (million)
% 0.61/0.79  % (15606)------------------------------
% 0.61/0.79  % (15606)------------------------------
% 0.61/0.79  % (15609)Memory used [KB]: 1002
% 0.61/0.79  % (15609)Time elapsed: 0.003 s
% 0.61/0.79  % (15609)Instructions burned: 4 (million)
% 0.61/0.79  % (15609)------------------------------
% 0.61/0.79  % (15609)------------------------------
% 0.61/0.79  % (15602)Refutation not found, incomplete strategy% (15602)------------------------------
% 0.61/0.79  % (15602)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (15602)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (15602)Memory used [KB]: 1016
% 0.61/0.79  % (15602)Time elapsed: 0.004 s
% 0.61/0.79  % (15602)Instructions burned: 4 (million)
% 0.61/0.79  % (15602)------------------------------
% 0.61/0.79  % (15602)------------------------------
% 0.61/0.79  % (15605)Refutation not found, incomplete strategy% (15605)------------------------------
% 0.61/0.79  % (15605)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (15605)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (15605)Memory used [KB]: 1001
% 0.61/0.79  % (15605)Time elapsed: 0.004 s
% 0.61/0.79  % (15605)Instructions burned: 4 (million)
% 0.61/0.79  % (15605)------------------------------
% 0.61/0.79  % (15605)------------------------------
% 0.61/0.79  % (15612)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)
% 0.61/0.79  % (15610)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)
% 0.61/0.79  % (15611)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)
% 0.61/0.79  % (15613)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)
% 0.61/0.80  % (15611)Refutation not found, incomplete strategy% (15611)------------------------------
% 0.61/0.80  % (15611)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (15611)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (15611)Memory used [KB]: 992
% 0.61/0.80  % (15611)Time elapsed: 0.004 s
% 0.61/0.80  % (15611)Instructions burned: 6 (million)
% 0.61/0.80  % (15611)------------------------------
% 0.61/0.80  % (15611)------------------------------
% 0.61/0.80  % (15614)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)
% 0.61/0.81  % (15607)Instruction limit reached!
% 0.61/0.81  % (15607)------------------------------
% 0.61/0.81  % (15607)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (15607)Termination reason: Unknown
% 0.61/0.81  % (15607)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (15607)Memory used [KB]: 1723
% 0.61/0.81  % (15607)Time elapsed: 0.022 s
% 0.61/0.81  % (15607)Instructions burned: 47 (million)
% 0.61/0.81  % (15607)------------------------------
% 0.61/0.81  % (15607)------------------------------
% 0.61/0.81  % (15615)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 Vampire---4 for (2995ds/42Mi)
% 0.61/0.81  % (15615)Refutation not found, incomplete strategy% (15615)------------------------------
% 0.61/0.81  % (15615)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (15615)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.81  
% 0.61/0.81  % (15615)Memory used [KB]: 1007
% 0.61/0.81  % (15615)Time elapsed: 0.004 s
% 0.61/0.81  % (15615)Instructions burned: 4 (million)
% 0.61/0.81  % (15615)------------------------------
% 0.61/0.81  % (15615)------------------------------
% 0.61/0.81  % (15603)First to succeed.
% 0.61/0.81  % (15613)Instruction limit reached!
% 0.61/0.81  % (15613)------------------------------
% 0.61/0.81  % (15613)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.81  % (15613)Termination reason: Unknown
% 0.61/0.81  % (15613)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (15613)Memory used [KB]: 1690
% 0.61/0.81  % (15613)Time elapsed: 0.023 s
% 0.61/0.81  % (15613)Instructions burned: 52 (million)
% 0.61/0.81  % (15613)------------------------------
% 0.61/0.81  % (15613)------------------------------
% 0.61/0.82  % (15610)Instruction limit reached!
% 0.61/0.82  % (15610)------------------------------
% 0.61/0.82  % (15610)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (15610)Termination reason: Unknown
% 0.61/0.82  % (15610)Termination phase: Saturation
% 0.61/0.82  
% 0.61/0.82  % (15610)Memory used [KB]: 1814
% 0.61/0.82  % (15610)Time elapsed: 0.025 s
% 0.61/0.82  % (15610)Instructions burned: 56 (million)
% 0.61/0.82  % (15610)------------------------------
% 0.61/0.82  % (15610)------------------------------
% 0.61/0.82  % (15603)Refutation found. Thanks to Tanya!
% 0.61/0.82  % SZS status Unsatisfiable for Vampire---4
% 0.61/0.82  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.82  % (15603)------------------------------
% 0.61/0.82  % (15603)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82  % (15603)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (15603)Memory used [KB]: 1483
% 0.61/0.82  % (15603)Time elapsed: 0.031 s
% 0.61/0.82  % (15603)Instructions burned: 55 (million)
% 0.61/0.82  % (15603)------------------------------
% 0.61/0.82  % (15603)------------------------------
% 0.61/0.82  % (15592)Success in time 0.484 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------