TSTP Solution File: GRP233-1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n009.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 05:47:00 EDT 2024

% Result   : Unsatisfiable 0.61s 0.82s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   72
% Syntax   : Number of formulae    :  268 (  30 unt;   0 def)
%            Number of atoms       :  798 ( 225 equ)
%            Maximal formula atoms :   11 (   2 avg)
%            Number of connectives :  930 ( 400   ~; 512   |;   0   &)
%                                         (  18 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   29 (  27 usr;  19 prp; 0-2 aty)
%            Number of functors    :   22 (  22 usr;  20 con; 0-2 aty)
%            Number of variables   :   61 (  61   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f724,plain,
    $false,
    inference(avatar_sat_refutation,[],[f97,f102,f107,f112,f117,f122,f123,f124,f125,f126,f131,f132,f133,f134,f135,f140,f141,f142,f143,f144,f149,f150,f151,f152,f153,f158,f159,f160,f161,f162,f179,f339,f358,f388,f448,f506,f507,f517,f530,f544,f591,f716,f723]) ).

fof(f723,plain,
    ( ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_33 ),
    inference(avatar_contradiction_clause,[],[f722]) ).

fof(f722,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_33 ),
    inference(subsumption_resolution,[],[f721,f37]) ).

fof(f37,plain,
    ~ sP2(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP2])]) ).

fof(f721,plain,
    ( sP2(sk_c8)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_33 ),
    inference(forward_demodulation,[],[f579,f673]) ).

fof(f673,plain,
    ( sk_c8 = sk_c7
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f596,f598]) ).

fof(f598,plain,
    ( ! [X0] : multiply(sk_c7,X0) = X0
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f595,f483]) ).

fof(f483,plain,
    ( ! [X0] : multiply(sk_c7,multiply(sk_c8,X0)) = X0
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f471,f92]) ).

fof(f92,plain,
    ( sk_c7 = sF10
    | ~ spl20_1 ),
    inference(avatar_component_clause,[],[f90]) ).

fof(f90,plain,
    ( spl20_1
  <=> sk_c7 = sF10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f471,plain,
    ! [X0] : multiply(sF10,multiply(sk_c8,X0)) = X0,
    inference(forward_demodulation,[],[f323,f1]) ).

fof(f1,axiom,
    ! [X0] : multiply(identity,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',left_identity) ).

fof(f323,plain,
    ! [X0] : multiply(identity,X0) = multiply(sF10,multiply(sk_c8,X0)),
    inference(superposition,[],[f3,f185]) ).

fof(f185,plain,
    identity = multiply(sF10,sk_c8),
    inference(superposition,[],[f2,f48]) ).

fof(f48,plain,
    inverse(sk_c8) = sF10,
    introduced(function_definition,[new_symbols(definition,[sF10])]) ).

fof(f2,axiom,
    ! [X0] : identity = multiply(inverse(X0),X0),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',left_inverse) ).

fof(f3,axiom,
    ! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',associativity) ).

fof(f595,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c7,multiply(sk_c8,X0))
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f481,f594]) ).

fof(f594,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,X0)
    | ~ spl20_1
    | ~ spl20_8 ),
    inference(forward_demodulation,[],[f593,f1]) ).

fof(f593,plain,
    ( ! [X0] : multiply(sk_c1,X0) = multiply(sk_c7,multiply(identity,X0))
    | ~ spl20_1
    | ~ spl20_8 ),
    inference(superposition,[],[f3,f547]) ).

fof(f547,plain,
    ( sk_c1 = multiply(sk_c7,identity)
    | ~ spl20_1
    | ~ spl20_8 ),
    inference(superposition,[],[f483,f479]) ).

fof(f479,plain,
    ( identity = multiply(sk_c8,sk_c1)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f188,f130]) ).

fof(f130,plain,
    ( sk_c8 = sF16
    | ~ spl20_8 ),
    inference(avatar_component_clause,[],[f128]) ).

fof(f128,plain,
    ( spl20_8
  <=> sk_c8 = sF16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).

fof(f188,plain,
    identity = multiply(sF16,sk_c1),
    inference(superposition,[],[f2,f64]) ).

fof(f64,plain,
    inverse(sk_c1) = sF16,
    introduced(function_definition,[new_symbols(definition,[sF16])]) ).

fof(f481,plain,
    ( ! [X0] : multiply(sk_c7,X0) = multiply(sk_c1,multiply(sk_c8,X0))
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f197,f121]) ).

fof(f121,plain,
    ( sk_c7 = sF15
    | ~ spl20_7 ),
    inference(avatar_component_clause,[],[f119]) ).

fof(f119,plain,
    ( spl20_7
  <=> sk_c7 = sF15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).

fof(f197,plain,
    ! [X0] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(sF15,X0),
    inference(superposition,[],[f3,f58]) ).

fof(f58,plain,
    multiply(sk_c1,sk_c8) = sF15,
    introduced(function_definition,[new_symbols(definition,[sF15])]) ).

fof(f596,plain,
    ( sk_c7 = multiply(sk_c7,sk_c8)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f482,f594]) ).

fof(f482,plain,
    ( sk_c7 = multiply(sk_c1,sk_c8)
    | ~ spl20_7 ),
    inference(backward_demodulation,[],[f58,f121]) ).

fof(f579,plain,
    ( sP2(sk_c7)
    | ~ spl20_33 ),
    inference(avatar_component_clause,[],[f577]) ).

fof(f577,plain,
    ( spl20_33
  <=> sP2(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).

fof(f716,plain,
    ( ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_35 ),
    inference(avatar_contradiction_clause,[],[f715]) ).

fof(f715,plain,
    ( $false
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_35 ),
    inference(subsumption_resolution,[],[f714,f38]) ).

fof(f38,plain,
    ~ sP3(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP3])]) ).

fof(f714,plain,
    ( sP3(sk_c8)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f713,f683]) ).

fof(f683,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f486,f673]) ).

fof(f486,plain,
    ( inverse(sk_c8) = sk_c7
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f48,f92]) ).

fof(f713,plain,
    ( sP3(inverse(sk_c8))
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_35 ),
    inference(forward_demodulation,[],[f590,f604]) ).

fof(f604,plain,
    ( identity = sk_c8
    | ~ spl20_1
    | ~ spl20_7
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f484,f598]) ).

fof(f484,plain,
    ( identity = multiply(sk_c7,sk_c8)
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f185,f92]) ).

fof(f590,plain,
    ( sP3(inverse(identity))
    | ~ spl20_35 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f588,plain,
    ( spl20_35
  <=> sP3(inverse(identity)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).

fof(f591,plain,
    ( spl20_35
    | spl20_33
    | ~ spl20_15 ),
    inference(avatar_split_clause,[],[f586,f174,f577,f588]) ).

fof(f174,plain,
    ( spl20_15
  <=> ! [X6] :
        ( sP2(multiply(X6,sk_c7))
        | sP3(inverse(X6)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).

fof(f586,plain,
    ( sP2(sk_c7)
    | sP3(inverse(identity))
    | ~ spl20_15 ),
    inference(superposition,[],[f175,f1]) ).

fof(f175,plain,
    ( ! [X6] :
        ( sP2(multiply(X6,sk_c7))
        | sP3(inverse(X6)) )
    | ~ spl20_15 ),
    inference(avatar_component_clause,[],[f174]) ).

fof(f544,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_15 ),
    inference(avatar_contradiction_clause,[],[f543]) ).

fof(f543,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f542,f38]) ).

fof(f542,plain,
    ( sP3(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_15 ),
    inference(forward_demodulation,[],[f541,f184]) ).

fof(f184,plain,
    ( sk_c8 = inverse(sk_c4)
    | ~ spl20_2 ),
    inference(backward_demodulation,[],[f47,f96]) ).

fof(f96,plain,
    ( sk_c8 = sF9
    | ~ spl20_2 ),
    inference(avatar_component_clause,[],[f94]) ).

fof(f94,plain,
    ( spl20_2
  <=> sk_c8 = sF9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f47,plain,
    inverse(sk_c4) = sF9,
    introduced(function_definition,[new_symbols(definition,[sF9])]) ).

fof(f541,plain,
    ( sP3(inverse(sk_c4))
    | ~ spl20_3
    | ~ spl20_15 ),
    inference(subsumption_resolution,[],[f540,f37]) ).

fof(f540,plain,
    ( sP2(sk_c8)
    | sP3(inverse(sk_c4))
    | ~ spl20_3
    | ~ spl20_15 ),
    inference(superposition,[],[f175,f183]) ).

fof(f183,plain,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | ~ spl20_3 ),
    inference(backward_demodulation,[],[f50,f101]) ).

fof(f101,plain,
    ( sk_c8 = sF11
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f99]) ).

fof(f99,plain,
    ( spl20_3
  <=> sk_c8 = sF11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f50,plain,
    multiply(sk_c4,sk_c7) = sF11,
    introduced(function_definition,[new_symbols(definition,[sF11])]) ).

fof(f530,plain,
    ( ~ spl20_7
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f529]) ).

fof(f529,plain,
    ( $false
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f528,f42]) ).

fof(f42,plain,
    ~ sP7(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP7])]) ).

fof(f528,plain,
    ( sP7(sk_c7)
    | ~ spl20_7
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f527,f482]) ).

fof(f527,plain,
    ( sP7(multiply(sk_c1,sk_c8))
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f522,f41]) ).

fof(f41,plain,
    ~ sP6(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP6])]) ).

fof(f522,plain,
    ( sP6(sk_c8)
    | sP7(multiply(sk_c1,sk_c8))
    | ~ spl20_8
    | ~ spl20_13 ),
    inference(superposition,[],[f169,f480]) ).

fof(f480,plain,
    ( sk_c8 = inverse(sk_c1)
    | ~ spl20_8 ),
    inference(backward_demodulation,[],[f64,f130]) ).

fof(f169,plain,
    ( ! [X3] :
        ( sP6(inverse(X3))
        | sP7(multiply(X3,sk_c8)) )
    | ~ spl20_13 ),
    inference(avatar_component_clause,[],[f168]) ).

fof(f168,plain,
    ( spl20_13
  <=> ! [X3] :
        ( sP6(inverse(X3))
        | sP7(multiply(X3,sk_c8)) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).

fof(f517,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f516]) ).

fof(f516,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f515,f35]) ).

fof(f35,plain,
    ~ sP0(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP0])]) ).

fof(f515,plain,
    ( sP0(sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f514,f473]) ).

fof(f473,plain,
    ( sk_c8 = inverse(sk_c2)
    | ~ spl20_11 ),
    inference(backward_demodulation,[],[f82,f157]) ).

fof(f157,plain,
    ( sk_c8 = sF19
    | ~ spl20_11 ),
    inference(avatar_component_clause,[],[f155]) ).

fof(f155,plain,
    ( spl20_11
  <=> sk_c8 = sF19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).

fof(f82,plain,
    inverse(sk_c2) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f514,plain,
    ( sP0(inverse(sk_c2))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f513,f36]) ).

fof(f36,plain,
    ~ sP1(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP1])]) ).

fof(f513,plain,
    ( sP1(sk_c7)
    | sP0(inverse(sk_c2))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f510,f478]) ).

fof(f478,plain,
    ( sk_c7 = multiply(sk_c8,sk_c3)
    | ~ spl20_9 ),
    inference(backward_demodulation,[],[f70,f139]) ).

fof(f139,plain,
    ( sk_c7 = sF17
    | ~ spl20_9 ),
    inference(avatar_component_clause,[],[f137]) ).

fof(f137,plain,
    ( spl20_9
  <=> sk_c7 = sF17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).

fof(f70,plain,
    multiply(sk_c8,sk_c3) = sF17,
    introduced(function_definition,[new_symbols(definition,[sF17])]) ).

fof(f510,plain,
    ( sP1(multiply(sk_c8,sk_c3))
    | sP0(inverse(sk_c2))
    | ~ spl20_10
    | ~ spl20_16 ),
    inference(superposition,[],[f178,f475]) ).

fof(f475,plain,
    ( sk_c3 = multiply(sk_c2,sk_c8)
    | ~ spl20_10 ),
    inference(backward_demodulation,[],[f76,f148]) ).

fof(f148,plain,
    ( sk_c3 = sF18
    | ~ spl20_10 ),
    inference(avatar_component_clause,[],[f146]) ).

fof(f146,plain,
    ( spl20_10
  <=> sk_c3 = sF18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).

fof(f76,plain,
    multiply(sk_c2,sk_c8) = sF18,
    introduced(function_definition,[new_symbols(definition,[sF18])]) ).

fof(f178,plain,
    ( ! [X8] :
        ( sP1(multiply(sk_c8,multiply(X8,sk_c8)))
        | sP0(inverse(X8)) )
    | ~ spl20_16 ),
    inference(avatar_component_clause,[],[f177]) ).

fof(f177,plain,
    ( spl20_16
  <=> ! [X8] :
        ( sP0(inverse(X8))
        | sP1(multiply(sk_c8,multiply(X8,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).

fof(f507,plain,
    ( ~ spl20_12
    | ~ spl20_1 ),
    inference(avatar_split_clause,[],[f485,f90,f164]) ).

fof(f164,plain,
    ( spl20_12
  <=> sP8(sk_c7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).

fof(f485,plain,
    ( ~ sP8(sk_c7)
    | ~ spl20_1 ),
    inference(backward_demodulation,[],[f88,f92]) ).

fof(f88,plain,
    ~ sP8(sF10),
    inference(definition_folding,[],[f43,f48]) ).

fof(f43,plain,
    ~ sP8(inverse(sk_c8)),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP8])]) ).

fof(f506,plain,
    ( ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f505]) ).

fof(f505,plain,
    ( $false
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f504,f39]) ).

fof(f39,plain,
    ~ sP4(sk_c8),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP4])]) ).

fof(f504,plain,
    ( sP4(sk_c8)
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_11
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f503,f473]) ).

fof(f503,plain,
    ( sP4(inverse(sk_c2))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f502,f40]) ).

fof(f40,plain,
    ~ sP5(sk_c7),
    introduced(inequality_splitting_name_introduction,[new_symbols(naming,[sP5])]) ).

fof(f502,plain,
    ( sP5(sk_c7)
    | sP4(inverse(sk_c2))
    | ~ spl20_9
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f496,f478]) ).

fof(f496,plain,
    ( sP5(multiply(sk_c8,sk_c3))
    | sP4(inverse(sk_c2))
    | ~ spl20_10
    | ~ spl20_14 ),
    inference(superposition,[],[f172,f475]) ).

fof(f172,plain,
    ( ! [X5] :
        ( sP5(multiply(sk_c8,multiply(X5,sk_c8)))
        | sP4(inverse(X5)) )
    | ~ spl20_14 ),
    inference(avatar_component_clause,[],[f171]) ).

fof(f171,plain,
    ( spl20_14
  <=> ! [X5] :
        ( sP4(inverse(X5))
        | sP5(multiply(sk_c8,multiply(X5,sk_c8))) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).

fof(f448,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(avatar_contradiction_clause,[],[f447]) ).

fof(f447,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f446,f216]) ).

fof(f216,plain,
    ( ~ sP1(sk_c8)
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f36,f215]) ).

fof(f215,plain,
    ( sk_c8 = sk_c7
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f213,f182]) ).

fof(f182,plain,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | ~ spl20_4 ),
    inference(backward_demodulation,[],[f52,f106]) ).

fof(f106,plain,
    ( sk_c7 = sF12
    | ~ spl20_4 ),
    inference(avatar_component_clause,[],[f104]) ).

fof(f104,plain,
    ( spl20_4
  <=> sk_c7 = sF12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).

fof(f52,plain,
    multiply(sk_c8,sk_c6) = sF12,
    introduced(function_definition,[new_symbols(definition,[sF12])]) ).

fof(f213,plain,
    ( sk_c8 = multiply(sk_c8,sk_c6)
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(superposition,[],[f205,f181]) ).

fof(f181,plain,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | ~ spl20_5 ),
    inference(backward_demodulation,[],[f54,f111]) ).

fof(f111,plain,
    ( sk_c6 = sF13
    | ~ spl20_5 ),
    inference(avatar_component_clause,[],[f109]) ).

fof(f109,plain,
    ( spl20_5
  <=> sk_c6 = sF13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).

fof(f54,plain,
    multiply(sk_c5,sk_c8) = sF13,
    introduced(function_definition,[new_symbols(definition,[sF13])]) ).

fof(f205,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c5,X0)) = X0
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f204,f1]) ).

fof(f204,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c5,X0))
    | ~ spl20_6 ),
    inference(superposition,[],[f3,f187]) ).

fof(f187,plain,
    ( identity = multiply(sk_c8,sk_c5)
    | ~ spl20_6 ),
    inference(superposition,[],[f2,f180]) ).

fof(f180,plain,
    ( sk_c8 = inverse(sk_c5)
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f56,f116]) ).

fof(f116,plain,
    ( sk_c8 = sF14
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f114]) ).

fof(f114,plain,
    ( spl20_6
  <=> sk_c8 = sF14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f56,plain,
    inverse(sk_c5) = sF14,
    introduced(function_definition,[new_symbols(definition,[sF14])]) ).

fof(f446,plain,
    ( sP1(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f445,f273]) ).

fof(f273,plain,
    ( ! [X0] : multiply(sk_c8,X0) = X0
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f268,f223]) ).

fof(f223,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c8,X0)
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f193,f215]) ).

fof(f193,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
    | ~ spl20_4 ),
    inference(superposition,[],[f3,f182]) ).

fof(f268,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = X0
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f205,f265]) ).

fof(f265,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,X0)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f232,f255]) ).

fof(f255,plain,
    ( ! [X0] : multiply(sk_c4,X0) = X0
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(superposition,[],[f224,f203]) ).

fof(f203,plain,
    ( ! [X0] : multiply(sk_c8,multiply(sk_c4,X0)) = X0
    | ~ spl20_2 ),
    inference(forward_demodulation,[],[f202,f1]) ).

fof(f202,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sk_c8,multiply(sk_c4,X0))
    | ~ spl20_2 ),
    inference(superposition,[],[f3,f186]) ).

fof(f186,plain,
    ( identity = multiply(sk_c8,sk_c4)
    | ~ spl20_2 ),
    inference(superposition,[],[f2,f184]) ).

fof(f224,plain,
    ( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c4,multiply(sk_c8,X0))
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f195,f215]) ).

fof(f195,plain,
    ( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
    | ~ spl20_3 ),
    inference(superposition,[],[f3,f183]) ).

fof(f232,plain,
    ( ! [X0] : multiply(sk_c5,X0) = multiply(sk_c6,multiply(sk_c4,X0))
    | ~ spl20_2
    | ~ spl20_5 ),
    inference(superposition,[],[f196,f203]) ).

fof(f196,plain,
    ( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c5,multiply(sk_c8,X0))
    | ~ spl20_5 ),
    inference(superposition,[],[f3,f181]) ).

fof(f445,plain,
    ( sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(subsumption_resolution,[],[f442,f35]) ).

fof(f442,plain,
    ( sP0(sk_c8)
    | sP1(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(superposition,[],[f441,f337]) ).

fof(f337,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f48,f334]) ).

fof(f334,plain,
    ( sk_c8 = sF10
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f332,f48]) ).

fof(f332,plain,
    ( sk_c8 = inverse(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f296,f326]) ).

fof(f326,plain,
    ( identity = sk_c8
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f185,f325]) ).

fof(f325,plain,
    ( ! [X0] : multiply(sF10,X0) = X0
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f324,f1]) ).

fof(f324,plain,
    ( ! [X0] : multiply(identity,X0) = multiply(sF10,X0)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(forward_demodulation,[],[f323,f273]) ).

fof(f296,plain,
    ( sk_c8 = inverse(identity)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f184,f279]) ).

fof(f279,plain,
    ( identity = sk_c4
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f186,f273]) ).

fof(f441,plain,
    ( ! [X8] :
        ( sP0(inverse(X8))
        | sP1(multiply(X8,sk_c8)) )
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_16 ),
    inference(forward_demodulation,[],[f178,f273]) ).

fof(f388,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(avatar_contradiction_clause,[],[f387]) ).

fof(f387,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f386,f217]) ).

fof(f217,plain,
    ( ~ sP5(sk_c8)
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f40,f215]) ).

fof(f386,plain,
    ( sP5(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f385,f273]) ).

fof(f385,plain,
    ( sP5(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(subsumption_resolution,[],[f382,f39]) ).

fof(f382,plain,
    ( sP4(sk_c8)
    | sP5(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(superposition,[],[f381,f337]) ).

fof(f381,plain,
    ( ! [X5] :
        ( sP4(inverse(X5))
        | sP5(multiply(X5,sk_c8)) )
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_14 ),
    inference(forward_demodulation,[],[f172,f273]) ).

fof(f358,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_13 ),
    inference(avatar_contradiction_clause,[],[f357]) ).

fof(f357,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f356,f218]) ).

fof(f218,plain,
    ( ~ sP7(sk_c8)
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f42,f215]) ).

fof(f356,plain,
    ( sP7(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_13 ),
    inference(forward_demodulation,[],[f355,f273]) ).

fof(f355,plain,
    ( sP7(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_13 ),
    inference(subsumption_resolution,[],[f352,f41]) ).

fof(f352,plain,
    ( sP6(sk_c8)
    | sP7(multiply(sk_c8,sk_c8))
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_13 ),
    inference(superposition,[],[f169,f337]) ).

fof(f339,plain,
    ( ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_12 ),
    inference(avatar_contradiction_clause,[],[f338]) ).

fof(f338,plain,
    ( $false
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_12 ),
    inference(subsumption_resolution,[],[f336,f220]) ).

fof(f220,plain,
    ( sP8(sk_c8)
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6
    | ~ spl20_12 ),
    inference(backward_demodulation,[],[f166,f215]) ).

fof(f166,plain,
    ( sP8(sk_c7)
    | ~ spl20_12 ),
    inference(avatar_component_clause,[],[f164]) ).

fof(f336,plain,
    ( ~ sP8(sk_c8)
    | ~ spl20_2
    | ~ spl20_3
    | ~ spl20_4
    | ~ spl20_5
    | ~ spl20_6 ),
    inference(backward_demodulation,[],[f88,f334]) ).

fof(f179,plain,
    ( spl20_12
    | spl20_13
    | spl20_14
    | spl20_15
    | spl20_16 ),
    inference(avatar_split_clause,[],[f46,f177,f174,f171,f168,f164]) ).

fof(f46,plain,
    ! [X3,X8,X6,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(sk_c8,multiply(X8,sk_c8)))
      | sP2(multiply(X6,sk_c7))
      | sP3(inverse(X6))
      | sP4(inverse(X5))
      | sP5(multiply(sk_c8,multiply(X5,sk_c8)))
      | sP6(inverse(X3))
      | sP7(multiply(X3,sk_c8))
      | sP8(sk_c7) ),
    inference(equality_resolution,[],[f45]) ).

fof(f45,plain,
    ! [X3,X8,X6,X4,X5] :
      ( sP0(inverse(X8))
      | sP1(multiply(sk_c8,multiply(X8,sk_c8)))
      | sP2(multiply(X6,sk_c7))
      | sP3(inverse(X6))
      | sP4(inverse(X5))
      | multiply(X5,sk_c8) != X4
      | sP5(multiply(sk_c8,X4))
      | sP6(inverse(X3))
      | sP7(multiply(X3,sk_c8))
      | sP8(sk_c7) ),
    inference(equality_resolution,[],[f44]) ).

fof(f44,plain,
    ! [X3,X8,X6,X7,X4,X5] :
      ( sP0(inverse(X8))
      | multiply(X8,sk_c8) != X7
      | sP1(multiply(sk_c8,X7))
      | sP2(multiply(X6,sk_c7))
      | sP3(inverse(X6))
      | sP4(inverse(X5))
      | multiply(X5,sk_c8) != X4
      | sP5(multiply(sk_c8,X4))
      | sP6(inverse(X3))
      | sP7(multiply(X3,sk_c8))
      | sP8(sk_c7) ),
    inference(inequality_splitting,[],[f34,f43,f42,f41,f40,f39,f38,f37,f36,f35]) ).

fof(f34,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_c8 != inverse(X5)
      | multiply(X5,sk_c8) != X4
      | sk_c7 != multiply(sk_c8,X4)
      | sk_c8 != inverse(X3)
      | sk_c7 != multiply(X3,sk_c8)
      | inverse(sk_c8) != sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_31) ).

fof(f162,plain,
    ( spl20_11
    | spl20_6 ),
    inference(avatar_split_clause,[],[f87,f114,f155]) ).

fof(f87,plain,
    ( sk_c8 = sF14
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f33,f82,f56]) ).

fof(f33,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_30) ).

fof(f161,plain,
    ( spl20_11
    | spl20_5 ),
    inference(avatar_split_clause,[],[f86,f109,f155]) ).

fof(f86,plain,
    ( sk_c6 = sF13
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f32,f82,f54]) ).

fof(f32,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_29) ).

fof(f160,plain,
    ( spl20_11
    | spl20_4 ),
    inference(avatar_split_clause,[],[f85,f104,f155]) ).

fof(f85,plain,
    ( sk_c7 = sF12
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f31,f82,f52]) ).

fof(f31,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_28) ).

fof(f159,plain,
    ( spl20_11
    | spl20_3 ),
    inference(avatar_split_clause,[],[f84,f99,f155]) ).

fof(f84,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f30,f82,f50]) ).

fof(f30,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_27) ).

fof(f158,plain,
    ( spl20_11
    | spl20_2 ),
    inference(avatar_split_clause,[],[f83,f94,f155]) ).

fof(f83,plain,
    ( sk_c8 = sF9
    | sk_c8 = sF19 ),
    inference(definition_folding,[],[f29,f82,f47]) ).

fof(f29,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c2) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_26) ).

fof(f153,plain,
    ( spl20_10
    | spl20_6 ),
    inference(avatar_split_clause,[],[f81,f114,f146]) ).

fof(f81,plain,
    ( sk_c8 = sF14
    | sk_c3 = sF18 ),
    inference(definition_folding,[],[f28,f76,f56]) ).

fof(f28,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_25) ).

fof(f152,plain,
    ( spl20_10
    | spl20_5 ),
    inference(avatar_split_clause,[],[f80,f109,f146]) ).

fof(f80,plain,
    ( sk_c6 = sF13
    | sk_c3 = sF18 ),
    inference(definition_folding,[],[f27,f76,f54]) ).

fof(f27,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_24) ).

fof(f151,plain,
    ( spl20_10
    | spl20_4 ),
    inference(avatar_split_clause,[],[f79,f104,f146]) ).

fof(f79,plain,
    ( sk_c7 = sF12
    | sk_c3 = sF18 ),
    inference(definition_folding,[],[f26,f76,f52]) ).

fof(f26,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_23) ).

fof(f150,plain,
    ( spl20_10
    | spl20_3 ),
    inference(avatar_split_clause,[],[f78,f99,f146]) ).

fof(f78,plain,
    ( sk_c8 = sF11
    | sk_c3 = sF18 ),
    inference(definition_folding,[],[f25,f76,f50]) ).

fof(f25,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_22) ).

fof(f149,plain,
    ( spl20_10
    | spl20_2 ),
    inference(avatar_split_clause,[],[f77,f94,f146]) ).

fof(f77,plain,
    ( sk_c8 = sF9
    | sk_c3 = sF18 ),
    inference(definition_folding,[],[f24,f76,f47]) ).

fof(f24,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c3 = multiply(sk_c2,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_21) ).

fof(f144,plain,
    ( spl20_9
    | spl20_6 ),
    inference(avatar_split_clause,[],[f75,f114,f137]) ).

fof(f75,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f23,f70,f56]) ).

fof(f23,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_20) ).

fof(f143,plain,
    ( spl20_9
    | spl20_5 ),
    inference(avatar_split_clause,[],[f74,f109,f137]) ).

fof(f74,plain,
    ( sk_c6 = sF13
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f22,f70,f54]) ).

fof(f22,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_19) ).

fof(f142,plain,
    ( spl20_9
    | spl20_4 ),
    inference(avatar_split_clause,[],[f73,f104,f137]) ).

fof(f73,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f21,f70,f52]) ).

fof(f21,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_18) ).

fof(f141,plain,
    ( spl20_9
    | spl20_3 ),
    inference(avatar_split_clause,[],[f72,f99,f137]) ).

fof(f72,plain,
    ( sk_c8 = sF11
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f20,f70,f50]) ).

fof(f20,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_17) ).

fof(f140,plain,
    ( spl20_9
    | spl20_2 ),
    inference(avatar_split_clause,[],[f71,f94,f137]) ).

fof(f71,plain,
    ( sk_c8 = sF9
    | sk_c7 = sF17 ),
    inference(definition_folding,[],[f19,f70,f47]) ).

fof(f19,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c8,sk_c3) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_16) ).

fof(f135,plain,
    ( spl20_8
    | spl20_6 ),
    inference(avatar_split_clause,[],[f69,f114,f128]) ).

fof(f69,plain,
    ( sk_c8 = sF14
    | sk_c8 = sF16 ),
    inference(definition_folding,[],[f18,f64,f56]) ).

fof(f18,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_15) ).

fof(f134,plain,
    ( spl20_8
    | spl20_5 ),
    inference(avatar_split_clause,[],[f68,f109,f128]) ).

fof(f68,plain,
    ( sk_c6 = sF13
    | sk_c8 = sF16 ),
    inference(definition_folding,[],[f17,f64,f54]) ).

fof(f17,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_14) ).

fof(f133,plain,
    ( spl20_8
    | spl20_4 ),
    inference(avatar_split_clause,[],[f67,f104,f128]) ).

fof(f67,plain,
    ( sk_c7 = sF12
    | sk_c8 = sF16 ),
    inference(definition_folding,[],[f16,f64,f52]) ).

fof(f16,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_13) ).

fof(f132,plain,
    ( spl20_8
    | spl20_3 ),
    inference(avatar_split_clause,[],[f66,f99,f128]) ).

fof(f66,plain,
    ( sk_c8 = sF11
    | sk_c8 = sF16 ),
    inference(definition_folding,[],[f15,f64,f50]) ).

fof(f15,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_12) ).

fof(f131,plain,
    ( spl20_8
    | spl20_2 ),
    inference(avatar_split_clause,[],[f65,f94,f128]) ).

fof(f65,plain,
    ( sk_c8 = sF9
    | sk_c8 = sF16 ),
    inference(definition_folding,[],[f14,f64,f47]) ).

fof(f14,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c8 = inverse(sk_c1) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_11) ).

fof(f126,plain,
    ( spl20_7
    | spl20_6 ),
    inference(avatar_split_clause,[],[f63,f114,f119]) ).

fof(f63,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF15 ),
    inference(definition_folding,[],[f13,f58,f56]) ).

fof(f13,axiom,
    ( sk_c8 = inverse(sk_c5)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_10) ).

fof(f125,plain,
    ( spl20_7
    | spl20_5 ),
    inference(avatar_split_clause,[],[f62,f109,f119]) ).

fof(f62,plain,
    ( sk_c6 = sF13
    | sk_c7 = sF15 ),
    inference(definition_folding,[],[f12,f58,f54]) ).

fof(f12,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_9) ).

fof(f124,plain,
    ( spl20_7
    | spl20_4 ),
    inference(avatar_split_clause,[],[f61,f104,f119]) ).

fof(f61,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF15 ),
    inference(definition_folding,[],[f11,f58,f52]) ).

fof(f11,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_8) ).

fof(f123,plain,
    ( spl20_7
    | spl20_3 ),
    inference(avatar_split_clause,[],[f60,f99,f119]) ).

fof(f60,plain,
    ( sk_c8 = sF11
    | sk_c7 = sF15 ),
    inference(definition_folding,[],[f10,f58,f50]) ).

fof(f10,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_7) ).

fof(f122,plain,
    ( spl20_7
    | spl20_2 ),
    inference(avatar_split_clause,[],[f59,f94,f119]) ).

fof(f59,plain,
    ( sk_c8 = sF9
    | sk_c7 = sF15 ),
    inference(definition_folding,[],[f9,f58,f47]) ).

fof(f9,axiom,
    ( sk_c8 = inverse(sk_c4)
    | sk_c7 = multiply(sk_c1,sk_c8) ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_6) ).

fof(f117,plain,
    ( spl20_1
    | spl20_6 ),
    inference(avatar_split_clause,[],[f57,f114,f90]) ).

fof(f57,plain,
    ( sk_c8 = sF14
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f8,f48,f56]) ).

fof(f8,axiom,
    ( sk_c8 = inverse(sk_c5)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_5) ).

fof(f112,plain,
    ( spl20_1
    | spl20_5 ),
    inference(avatar_split_clause,[],[f55,f109,f90]) ).

fof(f55,plain,
    ( sk_c6 = sF13
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f7,f48,f54]) ).

fof(f7,axiom,
    ( sk_c6 = multiply(sk_c5,sk_c8)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_4) ).

fof(f107,plain,
    ( spl20_1
    | spl20_4 ),
    inference(avatar_split_clause,[],[f53,f104,f90]) ).

fof(f53,plain,
    ( sk_c7 = sF12
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f6,f48,f52]) ).

fof(f6,axiom,
    ( sk_c7 = multiply(sk_c8,sk_c6)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_3) ).

fof(f102,plain,
    ( spl20_1
    | spl20_3 ),
    inference(avatar_split_clause,[],[f51,f99,f90]) ).

fof(f51,plain,
    ( sk_c8 = sF11
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f5,f48,f50]) ).

fof(f5,axiom,
    ( sk_c8 = multiply(sk_c4,sk_c7)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_2) ).

fof(f97,plain,
    ( spl20_1
    | spl20_2 ),
    inference(avatar_split_clause,[],[f49,f94,f90]) ).

fof(f49,plain,
    ( sk_c8 = sF9
    | sk_c7 = sF10 ),
    inference(definition_folding,[],[f4,f48,f47]) ).

fof(f4,axiom,
    ( sk_c8 = inverse(sk_c4)
    | inverse(sk_c8) = sk_c7 ),
    file('/export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815',prove_this_1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : GRP233-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n009.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Fri May  3 20:47:08 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a CNF_UNS_RFO_PEQ_NUE problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.2FuyBwa22q/Vampire---4.8_2815
% 0.61/0.76  % (3101)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)
% 0.61/0.76  % (3094)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)
% 0.61/0.76  % (3095)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)
% 0.61/0.76  % (3097)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)
% 0.61/0.76  % (3096)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.61/0.76  % (3101)Refutation not found, incomplete strategy% (3101)------------------------------
% 0.61/0.76  % (3101)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3098)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)
% 0.61/0.76  % (3101)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3101)Memory used [KB]: 989
% 0.61/0.76  % (3101)Time elapsed: 0.002 s
% 0.61/0.76  % (3101)Instructions burned: 4 (million)
% 0.61/0.76  % (3099)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)
% 0.61/0.76  % (3100)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)
% 0.61/0.76  % (3101)------------------------------
% 0.61/0.76  % (3101)------------------------------
% 0.61/0.76  % (3097)Refutation not found, incomplete strategy% (3097)------------------------------
% 0.61/0.76  % (3097)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3094)Refutation not found, incomplete strategy% (3094)------------------------------
% 0.61/0.76  % (3094)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.76  % (3097)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3097)Memory used [KB]: 986
% 0.61/0.76  % (3097)Time elapsed: 0.003 s
% 0.61/0.76  % (3097)Instructions burned: 4 (million)
% 0.61/0.76  % (3094)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.76  
% 0.61/0.76  % (3094)Memory used [KB]: 1004
% 0.61/0.76  % (3094)Time elapsed: 0.004 s
% 0.61/0.76  % (3094)Instructions burned: 4 (million)
% 0.61/0.76  % (3098)Refutation not found, incomplete strategy% (3098)------------------------------
% 0.61/0.76  % (3098)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3098)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3098)Memory used [KB]: 1004
% 0.61/0.77  % (3097)------------------------------
% 0.61/0.77  % (3097)------------------------------
% 0.61/0.77  % (3098)Time elapsed: 0.004 s
% 0.61/0.77  % (3098)Instructions burned: 4 (million)
% 0.61/0.77  % (3094)------------------------------
% 0.61/0.77  % (3094)------------------------------
% 0.61/0.77  % (3098)------------------------------
% 0.61/0.77  % (3098)------------------------------
% 0.61/0.77  % (3108)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)
% 0.61/0.77  % (3096)Refutation not found, incomplete strategy% (3096)------------------------------
% 0.61/0.77  % (3096)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3096)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3096)Memory used [KB]: 1059
% 0.61/0.77  % (3096)Time elapsed: 0.004 s
% 0.61/0.77  % (3096)Instructions burned: 5 (million)
% 0.61/0.77  % (3096)------------------------------
% 0.61/0.77  % (3096)------------------------------
% 0.61/0.77  % (3100)Refutation not found, incomplete strategy% (3100)------------------------------
% 0.61/0.77  % (3100)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3100)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3100)Memory used [KB]: 1072
% 0.61/0.77  % (3100)Time elapsed: 0.005 s
% 0.61/0.77  % (3100)Instructions burned: 6 (million)
% 0.61/0.77  % (3100)------------------------------
% 0.61/0.77  % (3100)------------------------------
% 0.61/0.77  % (3108)Refutation not found, incomplete strategy% (3108)------------------------------
% 0.61/0.77  % (3108)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3108)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3108)Memory used [KB]: 1059
% 0.61/0.77  % (3108)Time elapsed: 0.003 s
% 0.61/0.77  % (3108)Instructions burned: 5 (million)
% 0.61/0.77  % (3108)------------------------------
% 0.61/0.77  % (3108)------------------------------
% 0.61/0.77  % (3112)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)
% 0.61/0.77  % (3113)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)
% 0.61/0.77  % (3114)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)
% 0.61/0.77  % (3118)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2996ds/243Mi)
% 0.61/0.77  % (3115)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  % (3117)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 (2996ds/42Mi)
% 0.61/0.77  % (3112)Refutation not found, incomplete strategy% (3112)------------------------------
% 0.61/0.77  % (3112)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3112)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3112)Memory used [KB]: 992
% 0.61/0.77  % (3112)Time elapsed: 0.004 s
% 0.61/0.77  % (3112)Instructions burned: 5 (million)
% 0.61/0.77  % (3112)------------------------------
% 0.61/0.77  % (3112)------------------------------
% 0.61/0.77  % (3114)Refutation not found, incomplete strategy% (3114)------------------------------
% 0.61/0.77  % (3114)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3114)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3114)Memory used [KB]: 1059
% 0.61/0.77  % (3114)Time elapsed: 0.004 s
% 0.61/0.77  % (3114)Instructions burned: 5 (million)
% 0.61/0.77  % (3117)Refutation not found, incomplete strategy% (3117)------------------------------
% 0.61/0.77  % (3117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3114)------------------------------
% 0.61/0.77  % (3114)------------------------------
% 0.61/0.77  % (3117)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3117)Memory used [KB]: 1004
% 0.61/0.77  % (3117)Time elapsed: 0.004 s
% 0.61/0.77  % (3117)Instructions burned: 4 (million)
% 0.61/0.77  % (3117)------------------------------
% 0.61/0.77  % (3117)------------------------------
% 0.61/0.77  % (3113)Refutation not found, incomplete strategy% (3113)------------------------------
% 0.61/0.77  % (3113)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3113)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3113)Memory used [KB]: 1083
% 0.61/0.77  % (3113)Time elapsed: 0.007 s
% 0.61/0.77  % (3113)Instructions burned: 8 (million)
% 0.61/0.77  % (3113)------------------------------
% 0.61/0.77  % (3113)------------------------------
% 0.61/0.77  % (3118)Refutation not found, incomplete strategy% (3118)------------------------------
% 0.61/0.77  % (3118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.77  % (3118)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.77  
% 0.61/0.77  % (3118)Memory used [KB]: 1100
% 0.61/0.77  % (3118)Time elapsed: 0.005 s
% 0.61/0.77  % (3118)Instructions burned: 13 (million)
% 0.61/0.77  % (3118)------------------------------
% 0.61/0.77  % (3118)------------------------------
% 0.61/0.78  % (3123)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on Vampire---4 for (2996ds/117Mi)
% 0.61/0.78  % (3124)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on Vampire---4 for (2996ds/143Mi)
% 0.61/0.78  % (3127)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on Vampire---4 for (2996ds/32Mi)
% 0.61/0.78  % (3125)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on Vampire---4 for (2996ds/93Mi)
% 0.61/0.78  % (3123)Refutation not found, incomplete strategy% (3123)------------------------------
% 0.61/0.78  % (3123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (3123)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (3123)Memory used [KB]: 991
% 0.61/0.78  % (3123)Time elapsed: 0.004 s
% 0.61/0.78  % (3123)Instructions burned: 4 (million)
% 0.61/0.78  % (3126)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on Vampire---4 for (2996ds/62Mi)
% 0.61/0.78  % (3123)------------------------------
% 0.61/0.78  % (3123)------------------------------
% 0.61/0.78  % (3124)Refutation not found, incomplete strategy% (3124)------------------------------
% 0.61/0.78  % (3124)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (3124)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (3124)Memory used [KB]: 1006
% 0.61/0.78  % (3124)Time elapsed: 0.004 s
% 0.61/0.78  % (3124)Instructions burned: 4 (million)
% 0.61/0.78  % (3124)------------------------------
% 0.61/0.78  % (3124)------------------------------
% 0.61/0.78  % (3126)Refutation not found, incomplete strategy% (3126)------------------------------
% 0.61/0.78  % (3126)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.78  % (3126)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.78  
% 0.61/0.78  % (3126)Memory used [KB]: 991
% 0.61/0.78  % (3126)Time elapsed: 0.004 s
% 0.61/0.78  % (3126)Instructions burned: 3 (million)
% 0.61/0.78  % (3126)------------------------------
% 0.61/0.78  % (3126)------------------------------
% 0.61/0.78  % (3128)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=1919:ss=axioms:sgt=8:lsd=50:sd=7_0 on Vampire---4 for (2996ds/1919Mi)
% 0.61/0.78  % (3129)ott-32_5:1_sil=4000:sp=occurrence:urr=full:rp=on:nwc=5.0:newcnf=on:st=5.0:s2pl=on:i=55:sd=2:ins=2:ss=included:rawr=on:anc=none:sos=on:s2agt=8:spb=intro:ep=RS:avsq=on:avsqr=27,155:lma=on_0 on Vampire---4 for (2996ds/55Mi)
% 0.61/0.78  % (3130)lrs-1011_1:1_sil=2000:sos=on:urr=on:i=53:sd=1:bd=off:ins=3:av=off:ss=axioms:sgt=16:gsp=on:lsd=10_0 on Vampire---4 for (2996ds/53Mi)
% 0.61/0.79  % (3099)Instruction limit reached!
% 0.61/0.79  % (3099)------------------------------
% 0.61/0.79  % (3099)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3099)Termination reason: Unknown
% 0.61/0.79  % (3099)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (3099)Memory used [KB]: 1615
% 0.61/0.79  % (3099)Time elapsed: 0.024 s
% 0.61/0.79  % (3099)Instructions burned: 47 (million)
% 0.61/0.79  % (3099)------------------------------
% 0.61/0.79  % (3099)------------------------------
% 0.61/0.79  % (3128)Refutation not found, incomplete strategy% (3128)------------------------------
% 0.61/0.79  % (3128)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3128)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (3128)Memory used [KB]: 1059
% 0.61/0.79  % (3128)Time elapsed: 0.005 s
% 0.61/0.79  % (3128)Instructions burned: 5 (million)
% 0.61/0.79  % (3128)------------------------------
% 0.61/0.79  % (3128)------------------------------
% 0.61/0.79  % (3127)Instruction limit reached!
% 0.61/0.79  % (3127)------------------------------
% 0.61/0.79  % (3127)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3127)Termination reason: Unknown
% 0.61/0.79  % (3127)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (3127)Memory used [KB]: 1430
% 0.61/0.79  % (3129)Refutation not found, incomplete strategy% (3129)------------------------------
% 0.61/0.79  % (3129)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3127)Time elapsed: 0.010 s
% 0.61/0.79  % (3127)Instructions burned: 32 (million)
% 0.61/0.79  % (3127)------------------------------
% 0.61/0.79  % (3127)------------------------------
% 0.61/0.79  % (3129)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (3129)Memory used [KB]: 1006
% 0.61/0.79  % (3129)Time elapsed: 0.004 s
% 0.61/0.79  % (3129)Instructions burned: 4 (million)
% 0.61/0.79  % (3129)------------------------------
% 0.61/0.79  % (3129)------------------------------
% 0.61/0.79  % (3134)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2996ds/102Mi)
% 0.61/0.79  % (3095)Instruction limit reached!
% 0.61/0.79  % (3095)------------------------------
% 0.61/0.79  % (3095)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3095)Termination reason: Unknown
% 0.61/0.79  % (3095)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (3095)Memory used [KB]: 1677
% 0.61/0.79  % (3095)Time elapsed: 0.028 s
% 0.61/0.79  % (3095)Instructions burned: 52 (million)
% 0.61/0.79  % (3095)------------------------------
% 0.61/0.79  % (3095)------------------------------
% 0.61/0.79  % (3133)lrs+1011_6929:65536_anc=all_dependent:sil=2000:fde=none:plsqc=1:plsq=on:plsqr=19,8:plsql=on:nwc=3.0:i=46:afp=4000:ep=R:nm=3:fsr=off:afr=on:aer=off:gsp=on_0 on Vampire---4 for (2996ds/46Mi)
% 0.61/0.79  % (3135)ott+1011_9:29_slsqr=3,2:sil=2000:tgt=ground:lsd=10:lcm=predicate:avsqc=4:slsq=on:avsq=on:i=35:s2at=4.0:add=large:sd=1:avsqr=1,16:aer=off:ss=axioms:sgt=100:rawr=on:s2a=on:sac=on:afp=1:nwc=10.0:nm=64:bd=preordered:abs=on:rnwc=on:er=filter:nicw=on:spb=non_intro:lma=on_0 on Vampire---4 for (2996ds/35Mi)
% 0.61/0.79  % (3134)Refutation not found, incomplete strategy% (3134)------------------------------
% 0.61/0.79  % (3134)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3134)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (3134)Memory used [KB]: 1066
% 0.61/0.79  % (3134)Time elapsed: 0.003 s
% 0.61/0.79  % (3134)Instructions burned: 5 (million)
% 0.61/0.79  % (3134)------------------------------
% 0.61/0.79  % (3134)------------------------------
% 0.61/0.79  % (3136)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2996ds/87Mi)
% 0.61/0.79  % (3133)Refutation not found, incomplete strategy% (3133)------------------------------
% 0.61/0.79  % (3133)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3133)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (3133)Memory used [KB]: 1003
% 0.61/0.79  % (3133)Time elapsed: 0.003 s
% 0.61/0.79  % (3133)Instructions burned: 4 (million)
% 0.61/0.79  % (3133)------------------------------
% 0.61/0.79  % (3133)------------------------------
% 0.61/0.79  % (3140)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.79  % (3138)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 0.61/0.79  % (3140)Refutation not found, incomplete strategy% (3140)------------------------------
% 0.61/0.79  % (3140)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.79  % (3140)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.79  
% 0.61/0.79  % (3140)Memory used [KB]: 985
% 0.61/0.79  % (3140)Time elapsed: 0.002 s
% 0.61/0.79  % (3140)Instructions burned: 4 (million)
% 0.61/0.79  % (3140)------------------------------
% 0.61/0.79  % (3140)------------------------------
% 0.61/0.80  % (3141)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2995ds/69Mi)
% 0.61/0.80  % (3144)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2995ds/40Mi)
% 0.61/0.80  % (3141)Refutation not found, incomplete strategy% (3141)------------------------------
% 0.61/0.80  % (3141)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (3141)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (3141)Memory used [KB]: 1006
% 0.61/0.80  % (3141)Time elapsed: 0.025 s
% 0.61/0.80  % (3141)Instructions burned: 4 (million)
% 0.61/0.80  % (3141)------------------------------
% 0.61/0.80  % (3141)------------------------------
% 0.61/0.80  % (3144)Refutation not found, incomplete strategy% (3144)------------------------------
% 0.61/0.80  % (3144)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.80  % (3144)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.80  
% 0.61/0.80  % (3144)Memory used [KB]: 1154
% 0.61/0.80  % (3144)Time elapsed: 0.005 s
% 0.61/0.80  % (3144)Instructions burned: 10 (million)
% 0.61/0.80  % (3144)------------------------------
% 0.61/0.80  % (3144)------------------------------
% 0.61/0.80  % (3149)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2995ds/360Mi)
% 0.61/0.80  % (3152)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2995ds/161Mi)
% 0.61/0.81  % (3135)Instruction limit reached!
% 0.61/0.81  % (3135)------------------------------
% 0.61/0.81  % (3135)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (3135)Termination reason: Unknown
% 0.61/0.81  % (3135)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (3135)Memory used [KB]: 1161
% 0.61/0.81  % (3135)Time elapsed: 0.019 s
% 0.61/0.81  % (3135)Instructions burned: 35 (million)
% 0.61/0.81  % (3135)------------------------------
% 0.61/0.81  % (3135)------------------------------
% 0.61/0.81  % (3130)Instruction limit reached!
% 0.61/0.81  % (3130)------------------------------
% 0.61/0.81  % (3130)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.81  % (3130)Termination reason: Unknown
% 0.61/0.81  % (3130)Termination phase: Saturation
% 0.61/0.81  
% 0.61/0.81  % (3130)Memory used [KB]: 1177
% 0.61/0.81  % (3130)Time elapsed: 0.026 s
% 0.61/0.81  % (3130)Instructions burned: 54 (million)
% 0.61/0.81  % (3130)------------------------------
% 0.61/0.81  % (3130)------------------------------
% 0.61/0.81  % (3158)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2995ds/80Mi)
% 0.61/0.81  % (3159)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2995ds/37Mi)
% 0.61/0.82  % (3149)First to succeed.
% 0.61/0.82  % (3149)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2987"
% 0.61/0.82  % (3149)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  % (3149)------------------------------
% 0.61/0.82  % (3149)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.61/0.82  % (3149)Termination reason: Refutation
% 0.61/0.82  
% 0.61/0.82  % (3149)Memory used [KB]: 1193
% 0.61/0.82  % (3149)Time elapsed: 0.042 s
% 0.61/0.82  % (3149)Instructions burned: 32 (million)
% 0.61/0.82  % (2987)Success in time 0.454 s
% 0.61/0.82  % Vampire---4.8 exiting
%------------------------------------------------------------------------------