TSTP Solution File: GRP213-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP213-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 21:07:36 EDT 2024

% Result   : Unsatisfiable 0.38s 0.62s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   44
% Syntax   : Number of formulae    :  200 (   6 unt;   0 def)
%            Number of atoms       :  741 ( 224 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives : 1066 ( 525   ~; 525   |;   0   &)
%                                         (  16 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   18 (  16 usr;  17 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   57 (  57   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1350,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,f113,f158,f283,f409,f414,f795,f829,f934,f984,f1047,f1233,f1348]) ).

fof(f1348,plain,
    ( spl0_20
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f1330,f86,f76,f66,f32,f803]) ).

fof(f803,plain,
    ( spl0_20
  <=> sk_c8 = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f32,plain,
    ( spl0_1
  <=> multiply(sk_c1,sk_c8) = sk_c7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

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

fof(f76,plain,
    ( spl0_9
  <=> sk_c8 = multiply(sk_c2,sk_c3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f86,plain,
    ( spl0_10
  <=> sk_c3 = inverse(sk_c2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f1330,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f631,f1213]) ).

fof(f1213,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1,f1207]) ).

fof(f1207,plain,
    ( identity = sk_c8
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f1175,f2]) ).

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

fof(f1175,plain,
    ( sk_c8 = multiply(inverse(sk_c3),sk_c3)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f134,f643]) ).

fof(f643,plain,
    ( sk_c3 = multiply(sk_c3,sk_c8)
    | ~ spl0_9
    | ~ spl0_10 ),
    inference(superposition,[],[f425,f78]) ).

fof(f78,plain,
    ( sk_c8 = multiply(sk_c2,sk_c3)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f76]) ).

fof(f425,plain,
    ( ! [X0] : multiply(sk_c3,multiply(sk_c2,X0)) = X0
    | ~ spl0_10 ),
    inference(forward_demodulation,[],[f424,f1]) ).

fof(f424,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c3,multiply(sk_c2,X0))
    | ~ spl0_10 ),
    inference(superposition,[],[f3,f418]) ).

fof(f418,plain,
    ( identity = multiply(sk_c3,sk_c2)
    | ~ spl0_10 ),
    inference(superposition,[],[f2,f88]) ).

fof(f88,plain,
    ( sk_c3 = inverse(sk_c2)
    | ~ spl0_10 ),
    inference(avatar_component_clause,[],[f86]) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).

fof(f134,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
    inference(forward_demodulation,[],[f124,f1]) ).

fof(f124,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
    inference(superposition,[],[f3,f2]) ).

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

fof(f631,plain,
    ( sk_c8 = multiply(sk_c8,sk_c7)
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f423,f34]) ).

fof(f34,plain,
    ( multiply(sk_c1,sk_c8) = sk_c7
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f32]) ).

fof(f423,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f422,f1]) ).

fof(f422,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f417]) ).

fof(f417,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl0_8 ),
    inference(superposition,[],[f2,f68]) ).

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

fof(f1233,plain,
    ( ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(avatar_contradiction_clause,[],[f1232]) ).

fof(f1232,plain,
    ( $false
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1229]) ).

fof(f1229,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_1
    | spl0_2
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(superposition,[],[f1049,f1216]) ).

fof(f1216,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(superposition,[],[f68,f1212]) ).

fof(f1212,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_9
    | ~ spl0_10
    | ~ spl0_20 ),
    inference(superposition,[],[f1207,f1085]) ).

fof(f1085,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f1073,f417]) ).

fof(f1073,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f423,f1058]) ).

fof(f1058,plain,
    ( ! [X0] : multiply(sk_c1,X0) = X0
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1057,f423]) ).

fof(f1057,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c8,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1050,f804]) ).

fof(f804,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f1050,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(sk_c1,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f419,f423]) ).

fof(f419,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl0_1 ),
    inference(superposition,[],[f3,f34]) ).

fof(f1049,plain,
    ( sk_c8 != inverse(sk_c8)
    | spl0_2
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f37,f804]) ).

fof(f37,plain,
    ( sk_c7 != inverse(sk_c8)
    | spl0_2 ),
    inference(avatar_component_clause,[],[f36]) ).

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

fof(f1047,plain,
    ( ~ spl0_20
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f1044,f803,f102,f66,f36,f32,f803]) ).

fof(f102,plain,
    ( spl0_13
  <=> ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f1044,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(superposition,[],[f1022,f38]) ).

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

fof(f1022,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1021,f847]) ).

fof(f847,plain,
    ( sk_c1 = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f846,f804]) ).

fof(f846,plain,
    ( sk_c1 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f843,f711]) ).

fof(f711,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f34,f452]) ).

fof(f452,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f450,f1]) ).

fof(f450,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f421]) ).

fof(f421,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f137,f417]) ).

fof(f137,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl0_2 ),
    inference(forward_demodulation,[],[f128,f1]) ).

fof(f128,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl0_2 ),
    inference(superposition,[],[f3,f119]) ).

fof(f119,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl0_2 ),
    inference(superposition,[],[f2,f38]) ).

fof(f843,plain,
    ( sk_c1 = multiply(sk_c7,sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(superposition,[],[f421,f836]) ).

fof(f836,plain,
    ( identity = sk_c8
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f831,f812]) ).

fof(f812,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(forward_demodulation,[],[f811,f708]) ).

fof(f708,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c7,X0)) = X0
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f423,f452]) ).

fof(f811,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c7,X0))
    | ~ spl0_1
    | ~ spl0_8 ),
    inference(superposition,[],[f3,f631]) ).

fof(f831,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_20 ),
    inference(superposition,[],[f119,f804]) ).

fof(f1021,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f1020,f815]) ).

fof(f815,plain,
    ( identity = sk_c1
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f812,f417]) ).

fof(f1020,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f1005]) ).

fof(f1005,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(superposition,[],[f991,f1]) ).

fof(f991,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl0_13
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f103,f804]) ).

fof(f103,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c7)
        | sk_c8 != inverse(X6) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f102]) ).

fof(f984,plain,
    ( ~ spl0_9
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f973,f99,f86,f76]) ).

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

fof(f973,plain,
    ( sk_c8 != multiply(sk_c2,sk_c3)
    | ~ spl0_10
    | ~ spl0_12 ),
    inference(superposition,[],[f100,f88]) ).

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

fof(f934,plain,
    ( ~ spl0_20
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(avatar_split_clause,[],[f933,f803,f105,f66,f36,f32,f803]) ).

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(f933,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(superposition,[],[f871,f38]) ).

fof(f871,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f870,f847]) ).

fof(f870,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f869,f815]) ).

fof(f869,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(trivial_inequality_removal,[],[f868]) ).

fof(f868,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14
    | ~ spl0_20 ),
    inference(forward_demodulation,[],[f867,f804]) ).

fof(f867,plain,
    ( sk_c8 != sk_c7
    | sk_c8 != inverse(identity)
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f855,f812]) ).

fof(f855,plain,
    ( sk_c7 != multiply(sk_c8,sk_c8)
    | sk_c8 != inverse(identity)
    | ~ spl0_14 ),
    inference(superposition,[],[f106,f1]) ).

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(f829,plain,
    ( spl0_20
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f822,f66,f36,f32,f803]) ).

fof(f822,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_1
    | ~ spl0_2
    | ~ spl0_8 ),
    inference(superposition,[],[f631,f812]) ).

fof(f795,plain,
    ( ~ spl0_8
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f750,f96,f32,f66]) ).

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

fof(f750,plain,
    ( sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(trivial_inequality_removal,[],[f742]) ).

fof(f742,plain,
    ( sk_c7 != sk_c7
    | sk_c8 != inverse(sk_c1)
    | ~ spl0_1
    | ~ spl0_11 ),
    inference(superposition,[],[f97,f34]) ).

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

fof(f414,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | spl0_15 ),
    inference(avatar_contradiction_clause,[],[f413]) ).

fof(f413,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | spl0_15 ),
    inference(trivial_inequality_removal,[],[f412]) ).

fof(f412,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | spl0_15 ),
    inference(superposition,[],[f410,f145]) ).

fof(f145,plain,
    ( sk_c8 = sk_c7
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f142,f53]) ).

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

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

fof(f142,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f136,f58]) ).

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

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

fof(f136,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f127,f1]) ).

fof(f127,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl0_7 ),
    inference(superposition,[],[f3,f121]) ).

fof(f121,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(f61,plain,
    ( spl0_7
  <=> sk_c8 = inverse(sk_c5) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f410,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | spl0_15 ),
    inference(forward_demodulation,[],[f112,f167]) ).

fof(f167,plain,
    ( sk_c8 = sk_c6
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f154,f142]) ).

fof(f154,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f1,f152]) ).

fof(f152,plain,
    ( identity = sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f151,f145]) ).

fof(f151,plain,
    ( identity = sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f148,f138]) ).

fof(f138,plain,
    ( sk_c7 = multiply(sk_c8,sk_c8)
    | ~ spl0_3
    | ~ spl0_4 ),
    inference(superposition,[],[f135,f48]) ).

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(f135,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl0_3 ),
    inference(forward_demodulation,[],[f126,f1]) ).

fof(f126,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl0_3 ),
    inference(superposition,[],[f3,f120]) ).

fof(f120,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl0_3 ),
    inference(superposition,[],[f2,f43]) ).

fof(f43,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f41]) ).

fof(f41,plain,
    ( spl0_3
  <=> sk_c8 = inverse(sk_c4) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f148,plain,
    ( identity = multiply(sk_c8,sk_c8)
    | ~ spl0_2
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f119,f145]) ).

fof(f112,plain,
    ( sk_c7 != sk_c6
    | spl0_15 ),
    inference(avatar_component_clause,[],[f110]) ).

fof(f110,plain,
    ( spl0_15
  <=> sk_c7 = sk_c6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f409,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(avatar_contradiction_clause,[],[f408]) ).

fof(f408,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f406]) ).

fof(f406,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f400,f190]) ).

fof(f190,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f43,f178]) ).

fof(f178,plain,
    ( sk_c8 = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(forward_demodulation,[],[f166,f152]) ).

fof(f166,plain,
    ( identity = sk_c4
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7 ),
    inference(superposition,[],[f154,f120]) ).

fof(f400,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f399,f145]) ).

fof(f399,plain,
    ( sk_c8 != inverse(sk_c7)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f398,f38]) ).

fof(f398,plain,
    ( sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(trivial_inequality_removal,[],[f397]) ).

fof(f397,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f396,f152]) ).

fof(f396,plain,
    ( identity != sk_c8
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f378,f154]) ).

fof(f378,plain,
    ( sk_c8 != multiply(sk_c8,identity)
    | sk_c8 != inverse(inverse(sk_c8))
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(superposition,[],[f284,f2]) ).

fof(f284,plain,
    ( ! [X8] :
        ( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
        | sk_c8 != inverse(X8) )
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_14 ),
    inference(forward_demodulation,[],[f106,f145]) ).

fof(f283,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(avatar_contradiction_clause,[],[f282]) ).

fof(f282,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f280]) ).

fof(f280,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f266,f190]) ).

fof(f266,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f265,f152]) ).

fof(f265,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(trivial_inequality_removal,[],[f251]) ).

fof(f251,plain,
    ( sk_c8 != sk_c8
    | sk_c8 != inverse(identity)
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(superposition,[],[f159,f1]) ).

fof(f159,plain,
    ( ! [X6] :
        ( sk_c8 != multiply(X6,sk_c8)
        | sk_c8 != inverse(X6) )
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(forward_demodulation,[],[f103,f145]) ).

fof(f158,plain,
    ( ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(avatar_contradiction_clause,[],[f157]) ).

fof(f157,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(trivial_inequality_removal,[],[f156]) ).

fof(f156,plain,
    ( sk_c8 != sk_c8
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f155,f145]) ).

fof(f155,plain,
    ( sk_c8 != sk_c7
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f153,f38]) ).

fof(f153,plain,
    ( sk_c8 != inverse(sk_c8)
    | ~ spl0_2
    | ~ spl0_3
    | ~ spl0_4
    | ~ spl0_5
    | ~ spl0_6
    | ~ spl0_7
    | ~ spl0_12 ),
    inference(superposition,[],[f118,f152]) ).

fof(f118,plain,
    ( sk_c8 != inverse(identity)
    | ~ spl0_12 ),
    inference(superposition,[],[f100,f1]) ).

fof(f113,plain,
    ( ~ spl0_7
    | ~ spl0_15
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(avatar_split_clause,[],[f108,f96,f56,f110,f61]) ).

fof(f108,plain,
    ( sk_c7 != sk_c6
    | sk_c8 != inverse(sk_c5)
    | ~ spl0_6
    | ~ spl0_11 ),
    inference(superposition,[],[f97,f58]) ).

fof(f107,plain,
    ( spl0_11
    | spl0_12
    | ~ spl0_2
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f30,f105,f102,f36,f99,f96]) ).

fof(f30,plain,
    ! [X3,X8,X6,X4] :
      ( sk_c8 != inverse(X8)
      | sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
      | sk_c8 != multiply(X6,sk_c7)
      | sk_c8 != inverse(X6)
      | sk_c7 != inverse(sk_c8)
      | sk_c8 != multiply(X4,inverse(X4))
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    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)
      | sk_c8 != inverse(X6)
      | sk_c7 != inverse(sk_c8)
      | inverse(X4) != X5
      | sk_c8 != multiply(X4,X5)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    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)
      | sk_c8 != inverse(X6)
      | sk_c7 != inverse(sk_c8)
      | inverse(X4) != X5
      | sk_c8 != multiply(X4,X5)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).

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

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).

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

fof(f22,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c3 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).

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

fof(f17,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).

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

fof(f16,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = multiply(sk_c2,sk_c3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).

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

fof(f11,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).

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

fof(f10,axiom,
    ( sk_c7 = inverse(sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).

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

fof(f5,axiom,
    ( sk_c8 = inverse(sk_c4)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).

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

fof(f4,axiom,
    ( sk_c7 = inverse(sk_c8)
    | multiply(sk_c1,sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : GRP213-1 : TPTP v8.2.0. Released v2.5.0.
% 0.07/0.08  % 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
% 0.08/0.27  % Computer : n026.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit   : 300
% 0.08/0.27  % WCLimit    : 300
% 0.08/0.27  % DateTime   : Sun May 19 04:09:37 EDT 2024
% 0.08/0.27  % CPUTime    : 
% 0.08/0.27  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.08/0.27  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/benchmark/theBenchmark.p
% 0.38/0.59  % (20808)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.38/0.59  % (20800)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.38/0.59  % (20802)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.38/0.59  % (20803)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.38/0.59  % (20801)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.38/0.59  % (20808)Refutation not found, incomplete strategy% (20808)------------------------------
% 0.38/0.59  % (20808)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.59  % (20804)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.38/0.59  % (20808)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.59  
% 0.38/0.59  % (20808)Memory used [KB]: 988
% 0.38/0.59  % (20808)Time elapsed: 0.002 s
% 0.38/0.59  % (20808)Instructions burned: 3 (million)
% 0.38/0.59  % (20805)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.38/0.59  % (20808)------------------------------
% 0.38/0.59  % (20808)------------------------------
% 0.38/0.59  % (20806)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.38/0.60  % (20800)Refutation not found, incomplete strategy% (20800)------------------------------
% 0.38/0.60  % (20800)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.60  % (20800)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60  
% 0.38/0.60  % (20800)Memory used [KB]: 1002
% 0.38/0.60  % (20800)Time elapsed: 0.003 s
% 0.38/0.60  % (20800)Instructions burned: 3 (million)
% 0.38/0.60  % (20804)Refutation not found, incomplete strategy% (20804)------------------------------
% 0.38/0.60  % (20804)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.60  % (20804)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60  
% 0.38/0.60  % (20804)Memory used [KB]: 1003
% 0.38/0.60  % (20804)Time elapsed: 0.003 s
% 0.38/0.60  % (20804)Instructions burned: 4 (million)
% 0.38/0.60  % (20803)Refutation not found, incomplete strategy% (20803)------------------------------
% 0.38/0.60  % (20803)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.60  % (20803)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60  
% 0.38/0.60  % (20803)Memory used [KB]: 996
% 0.38/0.60  % (20803)Time elapsed: 0.003 s
% 0.38/0.60  % (20803)Instructions burned: 4 (million)
% 0.38/0.60  % (20800)------------------------------
% 0.38/0.60  % (20800)------------------------------
% 0.38/0.60  % (20804)------------------------------
% 0.38/0.60  % (20804)------------------------------
% 0.38/0.60  % (20803)------------------------------
% 0.38/0.60  % (20803)------------------------------
% 0.38/0.60  % (20811)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.38/0.60  % (20813)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.38/0.60  % (20814)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.38/0.60  % (20815)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.38/0.60  % (20813)Refutation not found, incomplete strategy% (20813)------------------------------
% 0.38/0.60  % (20813)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.60  % (20813)Termination reason: Refutation not found, incomplete strategy
% 0.38/0.60  
% 0.38/0.60  % (20813)Memory used [KB]: 997
% 0.38/0.60  % (20813)Time elapsed: 0.004 s
% 0.38/0.60  % (20813)Instructions burned: 5 (million)
% 0.38/0.60  % (20813)------------------------------
% 0.38/0.60  % (20813)------------------------------
% 0.38/0.61  % (20818)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2996ds/518Mi)
% 0.38/0.61  % (20801)First to succeed.
% 0.38/0.62  % (20811)Instruction limit reached!
% 0.38/0.62  % (20811)------------------------------
% 0.38/0.62  % (20811)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.62  % (20811)Termination reason: Unknown
% 0.38/0.62  % (20811)Termination phase: Saturation
% 0.38/0.62  
% 0.38/0.62  % (20811)Memory used [KB]: 1611
% 0.38/0.62  % (20811)Time elapsed: 0.018 s
% 0.38/0.62  % (20811)Instructions burned: 57 (million)
% 0.38/0.62  % (20811)------------------------------
% 0.38/0.62  % (20811)------------------------------
% 0.38/0.62  % (20801)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-20680"
% 0.38/0.62  % (20805)Instruction limit reached!
% 0.38/0.62  % (20805)------------------------------
% 0.38/0.62  % (20805)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.62  % (20805)Termination reason: Unknown
% 0.38/0.62  % (20805)Termination phase: Saturation
% 0.38/0.62  
% 0.38/0.62  % (20805)Memory used [KB]: 1549
% 0.38/0.62  % (20805)Time elapsed: 0.024 s
% 0.38/0.62  % (20805)Instructions burned: 47 (million)
% 0.38/0.62  % (20805)------------------------------
% 0.38/0.62  % (20805)------------------------------
% 0.38/0.62  % (20801)Refutation found. Thanks to Tanya!
% 0.38/0.62  % SZS status Unsatisfiable for theBenchmark
% 0.38/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.62  % (20801)------------------------------
% 0.38/0.62  % (20801)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.38/0.62  % (20801)Termination reason: Refutation
% 0.38/0.62  
% 0.38/0.62  % (20801)Memory used [KB]: 1300
% 0.38/0.62  % (20801)Time elapsed: 0.023 s
% 0.38/0.62  % (20801)Instructions burned: 39 (million)
% 0.38/0.62  % (20680)Success in time 0.338 s
% 0.38/0.62  % Vampire---4.8 exiting
%------------------------------------------------------------------------------